TopCoder Statistics - Problem Statement

Problem Statement

Bearland can be represented as a horizontal plane with N distinct points, denoting positions of N cities. The i-th city has coordinates (x[i], y[i]).

Limak is planning to build two infinitely long roads in Bearland. One should go northwest, and the other should go northeast (both these directions are tilted exactly 45 degrees from the vertical direction). It implies that the two roads are perpendicular to each other, and that they have an intersection point (this point can be a city but not necessarily).

Roads increase the trade significantly. A city will be happy if it lies on at least one of the two roads. Help Limak and find the maximum possible number of happy cities.

Definition

Class:: TwoDiagonals
Method:: maxPoints
Parameters:: int[], int[]
Returns:: int
Method signature:: int maxPoints(int[] x, int[] y)
(be sure your method is public)

Constraints

N will be between 1 and 1000, inclusive.
x will contain exactly N elements.
y will contain exactly N elements.
Each number in x and in y will be between 0 and 999, inclusive.
Every two cities will be in different points. (No two cities will coincide.)

Examples

{1, 4, 4, 5}

{3, 0, 2, 3}

Returns: 4

There are four cities: (1,3), (4,0), (4,2), (5,3). It's possible to draw two lines in such a way that all cities will be happy:
{0, 1, 2, 3, 4, 5}

{2, 2, 2, 2, 2, 2}

Returns: 2

The new roads can go through at most two cities in this case. One of many optimal placements is:
{2, 2, 3, 3}

{2, 3, 2, 3}

Returns: 4
{10, 0, 15, 9}

{10, 0, 15, 11}

Returns: 4

The two roads should intersect in the point (10, 10).
{273, 100, 999, 789, 105}

{838, 200, 999, 0, 560}

Returns: 2
{0, 2, 0, 2, 1}

{0, 0, 2, 2, 1}

Returns: 5
{500, 503, 501}

{200, 197, 199}

Returns: 3

The positions of cities are collinear and the line going through them is tilted exactly 45 degrees from the vertical direction, so Limak can build a road going through all three cities. The placement of the other road doesn't matter.
{0, 2, 4}

{0, 3, 6}

Returns: 2

The positions of cities are again collinear, but Limak can't make all of them happy. This time the line going through the three points isn't tilted exactly 45 degrees from the vertical direction. The best Limak can do is to build one road going through one of cities, and build the other road to go through one of the remaining two cities.
{0, 2, 2, 0, 1}

{2, 2, 0, 0, 1}

Returns: 5
{999}

{999}

Returns: 1
{5, 2, 2, 7, 6, 2, 1, 4, 0, 3}

{0, 3, 10, 3, 4, 4, 5, 2, 6, 1}

Returns: 6
{4, 5, 3, 4, 3, 5, 2, 2, 5, 3}

{0, 9, 4, 3, 2, 6, 5, 9, 5, 9}

Returns: 4
{2, 1, 2, 4, 2, 0, 7, 3, 1, 3, 1, 7, 8, 4, 2, 0, 5, 0, 8, 6}

{9, 8, 4, 9, 1, 10, 2, 2, 3, 5, 6, 1, 3, 4, 5, 0, 3, 2, 6, 7}

Returns: 7
{7, 2, 9, 5, 3, 5, 1}

{9, 7, 1, 2, 9, 5, 3}

Returns: 4
{4, 5, 1, 0, 1, 5}

{1, 3, 0, 1, 2, 1}

Returns: 3
{5, 7, 5, 2, 0, 2, 9, 10, 6, 7}

{6, 6, 9, 8, 4, 3, 1, 4, 7, 10}

Returns: 5
{600, 495, 448}

{257, 874, 376}

Returns: 2
{237, 455, 956, 516, 432}

{454, 877, 306, 652, 767}

Returns: 2
{763, 570, 309, 356, 540, 400, 494, 697, 843, 514}

{268, 205, 409, 903, 825, 97, 522, 762, 610, 412}

Returns: 2
{822, 290, 305, 964, 540, 198, 608, 728, 541, 255, 916, 93, 296, 986, 175, 303, 2, 610, 930, 963, 88}

{719, 541, 684, 739, 554, 875, 175, 211, 133, 12, 337, 750, 279, 978, 182, 150, 315, 973, 23, 296, 897}

Returns: 2
{806, 808, 281, 523, 153, 100, 943, 437, 398, 857, 828, 541, 118, 694, 444, 130, 488, 849, 929, 787, 296, 230, 693, 887, 531, 109, 93, 654, 649, 691, 664, 867, 719, 94, 962, 743, 265, 275, 433, 352, 355, 567, 991, 6, 384, 258, 830, 380, 305, 740, 352, 412, 925, 19, 697, 771, 13}

{50, 303, 236, 951, 672, 660, 701, 62, 821, 357, 983, 225, 110, 844, 653, 615, 945, 682, 321, 825, 74, 328, 853, 943, 960, 452, 446, 520, 705, 26, 645, 477, 836, 373, 673, 399, 800, 757, 521, 604, 242, 902, 498, 307, 190, 223, 973, 266, 864, 485, 330, 80, 443, 151, 14, 765, 122}

Returns: 3
{278, 377, 15, 327, 313, 63, 148, 192, 174, 257, 418, 965, 144, 673, 59, 298, 580, 614, 325, 732, 309, 561, 92, 148, 412, 354, 379, 148, 994, 918, 705, 684, 900, 966, 804, 687, 952, 118, 360, 931, 436, 321, 336, 734, 726, 994, 939, 900, 163, 532, 612, 474, 19, 15, 109, 842, 993, 177, 523, 89, 973, 738, 731, 554, 265, 143, 48, 417, 981, 64, 337, 308, 427, 361, 902, 220, 576, 642, 194, 833, 964, 515, 130, 687, 797, 428, 245, 255, 653, 463, 248, 317, 344, 994, 801, 631, 121, 367, 835, 867, 297, 260, 269, 969, 921, 953, 233, 129, 499, 326, 709, 534, 773, 210, 39, 121, 5, 888, 527, 740, 319, 198, 341, 519, 742, 492, 780, 860, 364, 990, 719, 609, 893, 455, 565, 1, 880, 655, 789, 69, 103, 885, 653, 342, 697, 965, 267, 114, 772, 428, 370, 24, 419, 742, 344, 388, 772, 503, 453, 225, 293, 579, 504, 827, 397, 240, 632, 334, 67, 896, 566, 433, 227, 234, 552, 487, 852, 484, 211, 328, 678, 710, 898, 363, 419, 964, 746, 134, 806, 65, 525, 273, 474, 311, 787, 290, 426, 135, 864, 930, 684, 105, 802, 869, 600, 777, 459, 756, 878, 486, 494, 262, 34, 273, 837, 912, 788, 176, 358, 541, 125, 808, 714, 313, 134, 785, 143, 245, 747, 879, 888, 213, 546, 318, 996, 720, 919, 454, 44, 51, 221, 800, 138, 787, 274, 215, 36, 858, 951, 767}

{369, 482, 299, 757, 902, 735, 113, 146, 955, 960, 504, 668, 676, 457, 622, 557, 545, 754, 905, 344, 253, 236, 746, 695, 55, 239, 516, 996, 815, 951, 762, 150, 686, 603, 963, 476, 156, 926, 472, 331, 527, 377, 375, 606, 50, 846, 781, 621, 637, 387, 551, 459, 713, 635, 644, 238, 470, 132, 242, 639, 380, 318, 775, 412, 849, 667, 708, 651, 180, 696, 670, 440, 106, 873, 835, 131, 582, 180, 337, 910, 268, 805, 257, 87, 398, 660, 110, 48, 648, 416, 405, 429, 126, 907, 637, 559, 747, 924, 503, 158, 654, 971, 645, 859, 455, 354, 310, 628, 470, 584, 904, 776, 541, 963, 642, 273, 802, 953, 309, 766, 33, 556, 718, 210, 608, 953, 165, 765, 370, 538, 121, 494, 457, 625, 590, 158, 619, 48, 777, 49, 8, 592, 220, 430, 270, 45, 253, 763, 905, 273, 75, 526, 922, 432, 611, 580, 69, 171, 142, 223, 304, 617, 636, 253, 807, 165, 649, 179, 651, 276, 697, 950, 656, 150, 530, 237, 96, 929, 716, 124, 800, 546, 24, 351, 100, 221, 322, 210, 702, 735, 989, 875, 415, 581, 835, 724, 924, 441, 589, 677, 564, 781, 0, 393, 376, 255, 58, 763, 936, 323, 816, 350, 336, 349, 171, 133, 618, 403, 985, 398, 882, 942, 139, 512, 670, 765, 881, 888, 613, 60, 777, 544, 260, 410, 192, 874, 178, 747, 606, 999, 422, 432, 590, 75, 320, 884, 482, 962, 141, 967}

Returns: 5
{698, 6, 655, 517, 44, 535, 650, 260, 960, 893, 901, 802, 896, 651, 797, 434, 433, 475, 315, 90, 894, 832, 534, 994, 986, 886, 862, 371, 379, 430, 578, 53, 786, 878, 863, 593, 448, 557, 79, 499, 974, 402, 643, 412, 117, 646, 693, 272, 575, 786, 4, 547, 285, 650, 970, 514, 852, 160, 771, 137, 283, 81, 375, 39, 758, 761, 871, 753, 497, 63, 235, 729, 330, 632, 987, 98, 288, 95, 330, 887, 546, 483, 660, 790, 111, 662, 825, 904, 395, 151, 863, 343, 879, 969, 448, 904, 695, 23, 494, 782, 734, 295, 527, 591, 270, 910, 985, 684, 30, 748, 722, 655, 318, 688, 870, 304, 31, 149, 967, 836, 531, 127, 522, 464, 57, 506, 397, 646, 22, 96, 906, 849, 305, 779, 103, 804, 536, 937, 422, 434, 953, 171, 854, 50, 150, 3, 34, 251, 658, 29, 171, 532, 687, 750, 653, 438, 701, 109, 80, 736, 792, 263, 495, 403, 37, 736, 848, 793, 860, 265, 580, 363, 934, 652, 120, 134, 917, 552, 976, 255, 311, 929, 404, 498, 955, 863, 746, 193, 156, 298, 52, 525, 884, 637, 69, 448, 333, 112, 575, 222, 547, 581, 519, 912, 338, 153, 213, 427, 295, 126, 445, 516, 317, 336, 810, 206, 298, 36, 343, 866, 322, 626, 417, 426, 590, 663, 504, 876, 106, 103, 919, 486, 946, 768, 188, 943, 572, 484, 971, 638, 444, 116, 409, 628, 151, 262, 125, 958, 374, 389, 109}

{534, 756, 994, 547, 31, 472, 916, 285, 493, 937, 14, 150, 135, 330, 701, 588, 760, 401, 142, 396, 223, 939, 165, 163, 242, 995, 720, 746, 258, 493, 125, 718, 619, 827, 891, 574, 999, 77, 272, 77, 930, 997, 68, 246, 274, 88, 463, 490, 173, 827, 628, 322, 103, 660, 14, 63, 245, 977, 654, 359, 783, 234, 548, 52, 644, 582, 60, 435, 312, 30, 137, 252, 203, 983, 828, 937, 762, 459, 827, 300, 834, 706, 872, 35, 370, 588, 949, 665, 581, 784, 260, 730, 506, 733, 542, 485, 82, 611, 461, 918, 62, 495, 12, 858, 349, 276, 598, 461, 611, 227, 140, 270, 648, 622, 985, 806, 70, 8, 777, 679, 435, 6, 407, 64, 901, 921, 250, 655, 758, 230, 96, 822, 330, 888, 358, 731, 173, 84, 586, 966, 497, 482, 363, 499, 779, 655, 784, 741, 576, 157, 881, 476, 735, 455, 441, 356, 646, 747, 942, 143, 612, 69, 190, 663, 658, 351, 855, 146, 198, 375, 362, 3, 596, 154, 622, 429, 160, 789, 350, 920, 249, 293, 952, 629, 522, 457, 1, 896, 374, 148, 724, 685, 696, 865, 117, 460, 614, 437, 524, 692, 599, 282, 809, 199, 884, 699, 716, 280, 178, 676, 716, 553, 652, 680, 217, 314, 116, 9, 741, 22, 292, 799, 809, 688, 615, 525, 84, 543, 588, 848, 768, 570, 742, 997, 795, 223, 613, 45, 727, 959, 619, 733, 223, 64, 7, 113, 94, 821, 518, 150, 957}

Returns: 6
{798, 73, 896, 587, 966, 72, 186, 283, 622, 596, 722, 748, 905, 81, 361, 531, 446, 787, 488, 415, 728, 825, 549, 312, 960, 84, 907, 119, 324, 988, 992, 29, 872, 107, 972, 981, 162, 902, 651, 79, 90, 140, 403, 38, 265, 540, 331, 575, 87, 57, 895, 377, 885, 389, 924, 783, 259, 994, 400, 14, 801, 602, 184, 372, 871, 126, 63, 945, 914, 454, 401, 701, 994, 69, 750, 413, 625, 217, 154, 344, 250, 861, 651, 219, 353, 191, 223, 755, 788, 425, 960, 792, 313, 346, 372, 71, 415, 92, 121, 48, 901, 771, 974, 125, 872, 530, 827, 856, 302, 789, 272, 932, 717, 962, 860, 342, 453, 803, 830, 567, 683, 402, 820, 274, 688, 646, 690, 186, 541, 577, 308, 374, 17, 320, 540, 927, 893, 585, 391, 287, 344, 614, 313, 35, 150, 917, 443, 890, 139, 482, 792, 130, 534, 751, 842, 547, 549, 124, 661, 433, 257, 82, 4, 199, 435, 551, 383, 770, 969, 191, 937, 867, 654, 325, 642, 727, 658, 936, 60, 627, 618, 87, 931, 409, 337, 763, 213, 782, 974, 644, 978, 588, 907, 739, 966, 733, 544, 645, 219, 779, 18, 72, 127, 943, 253, 890, 274, 656, 926, 651, 704, 767, 530, 465, 688, 827, 588, 35, 526, 829, 99, 266, 890, 291, 373, 66, 448, 365, 889, 635, 412, 170, 153, 782, 599, 579, 376, 293, 831, 872, 530, 903, 324, 220, 613, 947, 914, 538, 636, 619, 566, 575, 829, 953, 828, 767, 419, 282, 138, 263, 366, 533, 260, 91, 494, 603, 78, 984, 793, 332, 624, 275, 767, 367, 786, 307, 941, 638, 396, 682, 822, 881, 43, 785, 420, 399, 26, 317, 621, 909, 762, 456, 652, 555, 655, 633, 640, 934, 392, 984, 377, 176, 235, 682, 41, 561, 703, 587, 293, 102, 580, 376, 51, 852, 933, 905, 913, 135, 848, 886, 877, 4, 869, 235, 199, 116, 129, 67, 361, 916, 320, 385, 29, 659, 922, 338, 334, 306, 49, 467, 433, 173, 566, 453, 129, 448, 579, 999, 172, 768, 660, 32, 568, 265, 24, 494, 393, 676, 256, 890, 269, 524, 381, 508, 809, 215, 515, 505, 804, 666, 186, 427, 319, 822, 936, 327, 917, 724, 774, 879, 106, 414, 157, 57, 770, 801, 375, 388, 107, 893, 878, 93, 263, 536, 248, 514, 234, 837, 164, 955, 314, 495, 718, 651, 502, 130, 418, 8, 119, 90, 848, 229, 676, 120, 74, 639, 332, 974, 49, 804, 794, 355, 898, 431, 89, 84, 559, 928, 573, 712, 283, 449, 810, 223, 886, 127, 370, 939, 116, 691, 168, 208, 592, 646, 527, 698, 983, 3, 212, 604, 840, 293, 668, 748, 168, 482, 134, 774, 515, 659, 939, 999, 320, 7, 200, 947, 959, 94, 53, 743, 561, 443, 450, 179, 249, 611, 756, 624, 841, 560, 38, 588, 694, 962, 562, 849, 701, 177, 611, 325, 854, 288, 791, 160, 493, 832, 284, 951, 654, 432, 367, 926, 175, 928, 470, 658, 659, 550, 969, 471, 803, 746, 850, 761, 565, 710, 79, 912, 198, 955, 424, 824, 882, 253, 215, 937, 55, 572, 8, 305, 296, 365, 469, 965, 130, 330, 903, 604, 220, 721, 378, 622, 83, 564, 446, 562, 115, 385, 15, 747, 795, 940, 304, 970, 309, 180, 822, 991, 405, 38, 816, 15, 14, 939, 426, 231, 728, 417, 986, 849, 782, 924, 209, 303, 378, 338, 899, 107, 777, 63, 912, 378, 723, 549, 440, 979, 331, 945, 30, 280, 494, 572, 266, 398, 956, 465, 429, 289, 200, 565, 29, 888, 53, 211, 4, 677, 362, 539, 679, 466, 243, 633, 417, 191, 719, 75, 288, 983, 296, 576, 152, 452, 278, 373, 692, 822, 76, 314, 472, 409, 55, 700, 950, 698, 214, 508, 779, 602, 658, 233, 900, 686, 480, 934, 45, 836, 6, 807, 350, 486, 556, 618, 216, 805, 499, 425, 70, 740, 217, 460, 625, 608, 537, 818, 765, 529, 869, 512, 838, 446}

{528, 166, 809, 142, 806, 444, 655, 966, 996, 886, 410, 832, 864, 528, 159, 526, 859, 851, 305, 325, 33, 535, 636, 239, 414, 256, 502, 911, 246, 272, 900, 103, 169, 443, 538, 280, 871, 607, 342, 356, 864, 959, 956, 325, 802, 286, 713, 712, 295, 561, 48, 257, 984, 224, 551, 196, 772, 262, 159, 625, 676, 960, 393, 808, 19, 510, 274, 925, 256, 851, 662, 397, 514, 199, 549, 993, 646, 621, 288, 160, 385, 519, 785, 182, 480, 880, 425, 709, 19, 527, 946, 984, 538, 17, 825, 925, 761, 955, 481, 271, 374, 561, 909, 249, 900, 221, 445, 246, 864, 114, 639, 126, 410, 844, 271, 435, 75, 995, 487, 745, 862, 125, 985, 21, 942, 597, 408, 193, 526, 920, 392, 396, 339, 87, 461, 84, 528, 640, 853, 204, 481, 795, 8, 635, 159, 25, 796, 291, 979, 938, 507, 850, 143, 45, 2, 263, 140, 28, 64, 206, 68, 984, 869, 722, 157, 478, 987, 570, 158, 808, 166, 963, 485, 701, 248, 777, 810, 114, 459, 112, 990, 223, 903, 983, 254, 186, 489, 520, 885, 204, 629, 935, 471, 109, 187, 578, 434, 453, 953, 115, 826, 158, 431, 629, 43, 389, 763, 743, 185, 30, 252, 872, 590, 695, 931, 577, 510, 788, 151, 438, 722, 12, 271, 468, 766, 625, 879, 693, 201, 637, 304, 197, 950, 84, 811, 232, 351, 816, 234, 489, 898, 693, 711, 104, 439, 720, 807, 716, 101, 357, 749, 57, 916, 320, 133, 457, 612, 818, 731, 376, 212, 707, 271, 600, 241, 31, 486, 199, 345, 60, 990, 77, 191, 614, 754, 812, 739, 129, 576, 556, 349, 246, 759, 667, 915, 903, 37, 868, 55, 830, 514, 463, 974, 563, 394, 154, 545, 729, 775, 247, 563, 51, 569, 329, 321, 257, 542, 75, 195, 433, 437, 541, 562, 961, 707, 179, 566, 606, 797, 433, 693, 363, 353, 35, 831, 171, 286, 547, 792, 739, 857, 821, 764, 206, 911, 139, 310, 836, 420, 61, 145, 332, 483, 962, 524, 853, 632, 731, 368, 140, 506, 92, 722, 353, 635, 448, 605, 383, 992, 439, 754, 573, 482, 879, 939, 432, 443, 979, 392, 398, 47, 126, 362, 745, 601, 121, 815, 880, 265, 14, 357, 691, 381, 21, 748, 627, 394, 187, 474, 876, 153, 92, 740, 865, 225, 572, 947, 471, 489, 742, 576, 780, 465, 494, 752, 452, 119, 444, 921, 532, 844, 828, 702, 355, 934, 845, 409, 408, 224, 645, 235, 685, 616, 316, 71, 819, 857, 371, 225, 136, 14, 956, 738, 17, 73, 474, 165, 498, 763, 446, 410, 896, 442, 547, 832, 203, 102, 330, 733, 23, 89, 962, 751, 666, 971, 458, 798, 202, 771, 769, 263, 427, 112, 890, 645, 315, 919, 520, 945, 647, 176, 35, 140, 731, 336, 907, 847, 712, 920, 253, 513, 542, 257, 644, 353, 123, 545, 757, 135, 59, 564, 138, 494, 665, 384, 364, 461, 59, 698, 481, 175, 318, 999, 585, 659, 25, 921, 292, 721, 969, 546, 656, 902, 354, 163, 611, 898, 323, 813, 618, 918, 834, 652, 539, 924, 154, 931, 104, 584, 86, 423, 922, 841, 433, 203, 653, 522, 917, 897, 569, 383, 640, 481, 140, 495, 706, 515, 690, 303, 168, 512, 863, 328, 655, 689, 546, 650, 174, 6, 593, 583, 637, 912, 760, 447, 471, 11, 193, 948, 158, 78, 562, 300, 531, 595, 599, 250, 266, 49, 309, 659, 686, 494, 545, 525, 528, 337, 1, 907, 640, 961, 133, 678, 963, 302, 965, 560, 929, 77, 172, 518, 212, 569, 920, 877, 562, 770, 912, 118, 829, 381, 211, 392, 809, 970, 717, 463, 458, 980, 932, 375, 873, 527, 673, 672, 183, 902, 322, 829, 361, 690, 183, 757, 937, 501, 883, 369, 8, 732, 997, 606, 400, 8, 935, 876, 461, 112, 87, 887, 68, 963, 15, 794, 99, 829, 733, 830, 412, 827, 552, 812, 299, 312, 915, 275, 773, 901, 784, 51, 352}

Returns: 8
{597, 157, 273, 639, 597, 576, 435, 729, 637, 787, 812, 245, 382, 237, 138, 360, 813, 958, 314, 716, 967, 734, 925, 137, 127, 205, 971, 798, 838, 766, 850, 675, 997, 98, 589, 46, 348, 297, 384, 617, 8, 77, 999, 930, 933, 615, 662, 810, 103, 5, 147, 496, 193, 515, 342, 537, 221, 867, 607, 348, 401, 70, 453, 756, 68, 543, 268, 2, 152, 400, 74, 174, 439, 960, 48, 550, 954, 126, 376, 61, 891, 970, 419, 9, 341, 916, 14, 638, 462, 452, 125, 993, 558, 727, 836, 808, 285, 323, 757, 887, 479, 553, 501, 784, 239, 245, 230, 481, 645, 962, 417, 789, 142, 680, 137, 286, 602, 986, 693, 225, 539, 277, 235, 99, 309, 423, 953, 231, 467, 849, 567, 877, 275, 911, 494, 429, 385, 430, 313, 441, 496, 871, 359, 260, 231, 838, 819, 265, 363, 543, 635, 822, 933, 227, 505, 133, 68, 701, 138, 960, 32, 638, 607, 293, 55, 698, 504, 233, 143, 846, 650, 298, 780, 77, 430, 762, 492, 914, 976, 763, 570, 54, 937, 91, 121, 713, 742, 386, 420, 975, 636, 806, 217, 210, 617, 260, 240, 183, 319, 989, 656, 289, 558, 54, 236, 98, 248, 750, 105, 441, 436, 906, 398, 752, 522, 257, 676, 393, 724, 455, 298, 163, 728, 807, 692, 481, 56, 230, 920, 525, 925, 371, 803, 136, 667, 892, 128, 406, 418, 541, 759, 608, 524, 845, 415, 311, 647, 299, 806, 274, 209, 764, 484, 920, 220, 926, 505, 739, 781, 258, 407, 638, 245, 789, 737, 233, 908, 230, 370, 986, 808, 627, 912, 606, 366, 324, 732, 895, 24, 267, 706, 353, 460, 591, 250, 815, 632, 864, 348, 819, 592, 106, 90, 188, 175, 145, 604, 121, 582, 282, 61, 943, 76, 996, 363, 407, 46, 893, 5, 262, 915, 362, 206, 835, 813, 125, 216, 814, 811, 688, 474, 223, 216, 342, 841, 439, 76, 973, 55, 847, 177, 44, 520, 391, 990, 231, 584, 164, 688, 365, 151, 126, 150, 65, 792, 373, 612, 809, 581, 884, 270, 859, 422, 830, 376, 233, 847, 68, 677, 693, 278, 15, 671, 865, 992, 308, 506, 874, 205, 823, 654, 181, 943, 134, 349, 48, 93, 895, 61, 53, 140, 458, 54, 85, 660, 760, 548, 37, 753, 314, 227, 590, 532, 514, 629, 26, 821, 588, 3, 403, 145, 400, 549, 702, 137, 623, 871, 609, 198, 224, 789, 536, 613, 905, 500, 233, 827, 943, 725, 154, 61, 494, 577, 480, 554, 287, 998, 676, 599, 408, 422, 401, 479, 186, 996, 927, 122, 656, 957, 399, 988, 488, 430, 448, 639, 279, 995, 602, 85, 835, 434, 941, 152, 550, 994, 589, 10, 106, 418, 227, 844, 230, 875, 576, 646, 237, 796, 988, 110, 207, 531, 784, 305, 106, 626, 235, 224, 922, 511, 356, 537, 623, 317, 852, 670, 762, 250, 588, 580, 601, 42, 135, 566, 178, 741, 404, 497, 777, 246, 312, 286, 12, 77, 498, 584, 324, 679, 129, 922, 242, 376, 892, 9, 816, 386, 0, 310, 330, 994, 203, 439, 600, 839, 520, 48, 603, 846, 386, 154, 929, 869, 834, 610, 166, 634, 144, 344, 418, 481, 943, 423, 175, 501, 725, 968, 284, 223, 568, 994, 875, 891, 305, 391, 99, 598, 628, 879, 609, 580, 922, 889, 581, 602, 349, 432, 488, 223, 714, 540, 965, 920, 790, 313, 82, 793, 307, 827, 971, 43, 81, 152, 61, 619, 665, 976, 576, 291, 30, 297, 836, 795, 63, 224, 84, 331, 433, 308, 807, 804, 333, 101, 172, 829, 48, 958, 678, 150, 519, 941, 628, 606, 736, 115, 980, 608, 664, 624, 587, 143, 656, 891, 390, 754, 639, 39, 365, 900, 899, 439, 980, 922, 833, 286, 904, 761, 174, 238, 172, 419, 971, 189, 176, 238, 285, 550, 438, 283, 527, 988, 773, 270, 629, 400, 760, 756, 81, 511, 239, 723, 463, 602, 107, 65, 936, 490, 921, 7, 690, 107, 942, 51, 586, 173, 337, 912, 93, 703, 461, 196, 0, 167, 435, 304, 232, 161, 72, 976, 897, 873, 312, 214, 539, 567, 637, 617, 714, 331, 983, 913, 156, 800, 649, 34, 744, 524, 348, 572, 604, 631, 612, 60, 859, 326, 679, 283, 337, 637, 749, 144, 464, 740, 524, 297, 763, 22, 493, 355, 185, 486, 474, 477, 524, 163, 491, 804, 899, 705, 254, 734, 393, 696, 12, 960, 188, 823, 393, 168, 330, 958, 586, 984, 319, 842, 129, 544, 199, 882, 861, 56, 719, 966, 245, 329, 638, 9, 595, 946, 76, 638, 544, 648, 428, 191, 121, 950, 416, 263, 182, 932, 613, 322, 688, 565, 692, 225, 661, 21, 574, 544, 191, 793, 599, 9, 907, 314, 409, 200, 902, 797, 348, 174, 20, 616, 781, 960, 754, 277, 636, 104, 701, 730, 857, 551, 670, 632, 539, 585, 619, 634, 261, 577, 328, 256, 89, 806, 526, 300, 211, 954, 563, 178, 616, 122, 543, 923, 264, 451, 994, 83, 955, 558, 5, 871, 448, 284, 992, 792, 882, 916, 110, 965, 270, 219, 614, 964, 688, 963, 643, 281, 332, 891, 359, 820, 239, 499, 548, 344, 713, 440, 254, 669, 942, 581, 564, 881, 610, 962, 983, 596, 18, 826, 195, 786, 161, 111, 973, 297, 613, 20, 808, 644, 377, 396, 771, 722, 661, 341, 617, 953, 534, 663, 962, 835, 765, 513, 135, 342, 55, 31, 622, 595, 452, 546, 316, 643, 415, 662, 494, 392, 369, 654, 231, 981, 948, 438, 870, 509, 997, 118, 394, 379, 533, 419, 466, 368, 673, 27, 473, 789, 585, 637, 759, 901, 629, 126, 302, 562, 416, 113, 559, 766, 64, 470, 438, 51, 178, 488, 732, 240, 34, 369, 948, 995, 714, 34, 962, 205, 745, 233, 586, 850, 668, 178, 17, 678, 733, 51, 995, 410, 371, 364, 192, 636, 568, 355, 466, 692, 122, 611, 931, 334, 961, 657, 807, 297, 907, 878, 215, 333}

{176, 991, 906, 998, 866, 123, 874, 196, 608, 117, 754, 618, 993, 910, 498, 194, 475, 665, 804, 761, 718, 678, 934, 391, 97, 233, 70, 621, 15, 573, 423, 440, 296, 669, 530, 414, 350, 535, 750, 441, 901, 711, 474, 710, 216, 515, 281, 579, 959, 226, 731, 969, 611, 165, 28, 773, 851, 459, 796, 250, 672, 319, 21, 833, 500, 884, 148, 330, 989, 73, 38, 515, 554, 979, 609, 123, 715, 544, 816, 864, 30, 986, 728, 609, 496, 485, 926, 816, 440, 314, 768, 777, 35, 578, 165, 737, 825, 768, 219, 708, 258, 639, 204, 239, 123, 822, 385, 26, 770, 638, 587, 928, 273, 649, 903, 209, 791, 425, 127, 369, 756, 449, 725, 497, 854, 559, 312, 704, 743, 564, 172, 664, 858, 993, 174, 449, 881, 788, 757, 76, 528, 868, 189, 396, 577, 320, 742, 354, 274, 495, 731, 601, 818, 652, 658, 757, 96, 514, 210, 288, 44, 468, 932, 955, 634, 705, 994, 398, 112, 179, 591, 296, 849, 432, 83, 85, 575, 972, 723, 716, 337, 482, 14, 976, 872, 809, 640, 317, 796, 244, 484, 707, 904, 897, 629, 93, 93, 971, 679, 778, 455, 682, 103, 647, 54, 269, 46, 110, 16, 681, 427, 590, 340, 4, 217, 92, 259, 830, 161, 104, 828, 54, 314, 827, 734, 980, 659, 746, 401, 305, 879, 783, 193, 334, 776, 759, 652, 231, 742, 559, 990, 601, 748, 988, 20, 848, 485, 756, 475, 937, 752, 853, 819, 474, 128, 891, 248, 941, 295, 25, 645, 305, 876, 146, 40, 644, 579, 716, 679, 30, 804, 855, 800, 453, 448, 590, 900, 986, 861, 439, 150, 55, 31, 21, 826, 659, 467, 835, 453, 900, 697, 922, 777, 955, 267, 325, 281, 614, 734, 759, 277, 480, 898, 734, 154, 204, 14, 927, 575, 241, 475, 208, 858, 681, 119, 989, 308, 650, 559, 600, 561, 54, 604, 870, 765, 563, 496, 418, 535, 519, 313, 154, 880, 655, 636, 85, 732, 97, 781, 590, 195, 45, 772, 812, 761, 800, 110, 876, 41, 83, 341, 677, 902, 652, 916, 319, 967, 515, 50, 765, 885, 63, 863, 996, 548, 135, 777, 731, 418, 827, 337, 598, 819, 687, 400, 802, 964, 339, 678, 965, 115, 151, 438, 193, 79, 25, 263, 107, 876, 470, 781, 741, 543, 492, 320, 457, 783, 88, 864, 361, 122, 719, 62, 257, 595, 359, 710, 809, 126, 644, 809, 450, 470, 259, 538, 939, 583, 924, 826, 782, 833, 645, 282, 452, 773, 607, 407, 334, 22, 290, 172, 235, 798, 300, 665, 160, 268, 935, 682, 302, 30, 199, 891, 184, 314, 942, 719, 219, 992, 631, 818, 247, 796, 158, 885, 616, 185, 880, 836, 469, 218, 663, 284, 320, 511, 327, 971, 687, 436, 839, 633, 916, 11, 638, 189, 812, 417, 607, 539, 276, 404, 300, 157, 3, 242, 999, 231, 592, 791, 211, 625, 426, 967, 980, 157, 268, 135, 23, 531, 318, 973, 147, 206, 112, 963, 796, 62, 264, 123, 48, 643, 98, 25, 950, 192, 303, 45, 149, 459, 818, 439, 278, 809, 21, 944, 516, 14, 337, 62, 182, 685, 441, 941, 996, 284, 63, 974, 210, 178, 423, 347, 260, 773, 803, 845, 30, 76, 103, 186, 719, 517, 986, 535, 279, 633, 865, 913, 95, 189, 714, 108, 667, 278, 699, 577, 950, 588, 725, 629, 288, 39, 120, 155, 428, 304, 608, 772, 430, 346, 822, 475, 888, 354, 896, 750, 386, 561, 674, 541, 838, 96, 60, 909, 283, 671, 774, 691, 821, 366, 125, 521, 380, 855, 778, 252, 922, 227, 22, 982, 885, 240, 978, 573, 200, 545, 885, 465, 658, 455, 116, 339, 300, 582, 951, 133, 876, 987, 712, 844, 618, 289, 628, 733, 234, 441, 68, 717, 828, 806, 163, 439, 621, 642, 152, 754, 747, 724, 181, 797, 692, 949, 267, 435, 981, 814, 995, 752, 819, 775, 330, 749, 820, 718, 894, 545, 759, 779, 811, 553, 904, 650, 64, 641, 696, 683, 716, 928, 57, 307, 258, 369, 33, 271, 142, 489, 42, 898, 531, 701, 41, 387, 938, 830, 588, 910, 811, 612, 385, 454, 155, 757, 61, 441, 229, 827, 420, 98, 104, 133, 719, 131, 997, 919, 592, 955, 275, 668, 647, 701, 874, 598, 862, 239, 100, 566, 99, 476, 301, 742, 63, 472, 350, 807, 557, 761, 981, 922, 455, 442, 471, 721, 265, 529, 374, 47, 502, 896, 731, 237, 752, 569, 856, 549, 716, 824, 636, 125, 114, 195, 669, 315, 850, 165, 101, 146, 759, 163, 893, 756, 151, 551, 282, 577, 662, 441, 831, 33, 944, 214, 345, 533, 788, 83, 508, 148, 895, 638, 813, 604, 864, 801, 596, 764, 952, 486, 331, 300, 249, 859, 532, 905, 471, 864, 864, 89, 845, 766, 97, 875, 111, 142, 226, 251, 713, 821, 517, 423, 920, 510, 587, 89, 731, 310, 558, 262, 47, 530, 606, 0, 117, 644, 879, 241, 182, 128, 593, 326, 131, 434, 15, 595, 788, 126, 506, 796, 523, 84, 616, 837, 339, 237, 231, 368, 132, 650, 518, 929, 276, 992, 573, 345, 573, 575, 205, 8, 338, 438, 2, 554, 602, 987, 678, 535, 463, 988, 910, 526, 950, 958, 646, 240, 891, 389, 972, 32, 882, 132, 264, 985, 46, 1, 73, 696, 423, 325, 932, 463, 829, 961, 550, 307, 857, 339, 646, 338, 18, 602, 661, 314, 149, 79, 956, 872, 904, 918, 861, 559, 506, 741, 195, 463, 153, 156, 159, 912, 392, 684, 966, 29, 406, 821, 327, 719, 142, 833, 13, 305, 68, 110, 626, 390, 836, 337, 3, 38, 527, 825, 161, 94, 158, 839, 785, 214, 325, 673, 701, 78, 37, 423, 192, 487, 654, 791, 745, 11, 622, 601, 8, 191, 736, 375, 51, 673, 713, 976, 949, 849, 247, 918, 971, 572, 531, 350, 255, 664, 804, 132, 403, 100, 65, 22, 922, 654, 467, 961, 580, 791, 423, 942}

Returns: 9
{952, 151, 878, 138, 72, 992, 786, 458, 334, 930, 878, 118, 605, 881, 749, 809, 185, 543, 664, 107, 944, 558, 328, 779, 221, 942, 569, 23, 739, 757, 802, 427, 152, 344, 908, 447, 104, 294, 595, 675, 634, 800, 641, 56, 316, 646, 905, 967, 231, 904, 145, 493, 432, 773, 909, 213, 57, 477, 807, 599, 602, 120, 291, 549, 983, 351, 228, 624, 965, 456, 430, 54, 753, 497, 830, 904, 784, 272, 508, 112, 962, 30, 689, 20, 835, 566, 438, 784, 376, 899, 215, 775, 706, 385, 976, 496, 892, 537, 336, 701, 267, 227, 662, 847, 906, 598, 224, 835, 560, 679, 316, 198, 466, 870, 970, 89, 807, 847, 791, 346, 125, 419, 390, 752, 791, 749, 342, 591, 319, 168, 333, 505, 566, 925, 183, 890, 754, 373, 273, 877, 107, 333, 255, 65, 518, 790, 300, 580, 611, 765, 217, 135, 169, 852, 860, 367, 737, 186, 686, 208, 213, 76, 562, 970, 577, 433, 60, 337, 202, 292, 606, 773, 688, 477, 977, 233, 467, 3, 258, 579, 488, 155, 139, 965, 281, 872, 632, 133, 43, 152, 65, 971, 684, 299, 338, 520, 315, 965, 152, 490, 361, 636, 576, 299, 399, 828, 575, 511, 651, 788, 63, 278, 515, 866, 484, 604, 312, 366, 493, 942, 525, 872, 127, 417, 700, 692, 506, 294, 135, 631, 236, 547, 678, 515, 240, 624, 532, 63, 650, 764, 309, 102, 281, 982, 898, 189, 80, 207, 86, 677, 248, 7, 425, 336, 679, 325, 171, 291, 658, 605, 937, 285, 114, 691, 220, 453, 112, 16, 260, 436, 847, 649, 98, 831, 306, 204, 985, 823, 987, 336, 702, 78, 459, 660, 257, 69, 48, 228, 80, 207, 968, 608, 883, 402, 674, 40, 934, 176, 778, 879, 430, 770, 804, 102, 305, 686, 496, 29, 720, 5, 444, 771, 779, 479, 763, 740, 734, 816, 875, 12, 69, 296, 535, 800, 443, 674, 273, 526, 897, 693, 458, 814, 44, 742, 326, 420, 662, 202, 651, 624, 591, 451, 660, 482, 173, 345, 965, 166, 909, 876, 640, 846, 10, 849, 416, 677, 896, 276, 981, 41, 17, 389, 154, 696, 809, 71, 983, 404, 142, 39, 690, 131, 417, 993, 478, 417, 294, 409, 725, 228, 820, 797, 32, 699, 700, 614, 156, 82, 887, 873, 448, 753, 399, 968, 773, 621, 604, 625, 830, 816, 45, 487, 897, 829, 683, 339, 291, 311, 521, 397, 1, 773, 35, 366, 47, 205, 257, 834, 173, 679, 961, 616, 753, 780, 712, 928, 786, 195, 239, 539, 233, 619, 854, 271, 100, 32, 0, 566, 500, 794, 949, 965, 265, 882, 832, 26, 518, 567, 770, 196, 356, 322, 6, 808, 622, 802, 443, 377, 753, 431, 429, 662, 553, 916, 431, 935, 692, 663, 238, 69, 864, 625, 17, 477, 168, 713, 740, 405, 448, 756, 73, 376, 385, 359, 345, 834, 746, 689, 916, 870, 939, 168, 958, 452, 248, 918, 586, 579, 952, 60, 959, 271, 226, 279, 981, 908, 647, 726, 609, 156, 744, 188, 758, 929, 569, 198, 956, 614, 355, 814, 525, 569, 453, 546, 215, 635, 924, 653, 993, 126, 771, 869, 641, 345, 594, 388, 279, 902, 66, 648, 104, 464, 739, 675, 226, 266, 709, 291, 897, 156, 478, 720, 0, 881, 314, 827, 277, 972, 987, 265, 230, 768, 346, 213, 104, 635, 703, 805, 283, 49, 878, 710, 100, 315, 997, 573, 48, 868, 609, 231, 604, 737, 633, 115, 454, 613, 862, 681, 69, 244, 7, 37, 527, 853, 509, 474, 998, 951, 247, 276, 562, 942, 980, 371, 720, 468, 933, 45, 856, 433, 29, 667, 303, 79, 832, 320, 876, 201, 885, 46, 818, 616, 921, 457, 15, 992, 790, 276, 497, 493, 58, 594, 842, 750, 293, 529, 39, 473, 383, 111, 892, 370, 396, 447, 837, 965, 529, 656, 767, 154, 758, 121, 343, 582, 469, 111, 735, 724, 34, 0, 547, 790, 227, 446, 652, 229, 345, 568, 921, 727, 598, 476, 512, 660, 763, 275, 488, 124, 123, 240, 557, 999, 693, 113, 713, 500, 874, 215, 95, 687, 863, 4, 473, 390, 126, 830, 921, 381, 434, 90, 25, 874, 971, 637, 871, 336, 973, 231, 596, 647, 74, 497, 660, 625, 868, 901, 958, 258, 29, 409, 353, 755, 466, 545, 555, 329, 88, 923, 326, 670, 512, 278, 251, 566, 101, 870, 223, 81, 549, 577, 244, 748, 973, 498, 182, 197, 229, 356, 970, 817, 849, 976, 196, 814, 342, 255, 745, 262, 287, 270, 784, 256, 238, 442, 764, 651, 889, 546, 871, 726, 616, 680, 557, 213, 914, 424, 714, 290, 556, 217, 866, 866, 665, 560, 818, 776, 495, 6, 377, 904, 909, 477, 192, 506, 548, 268, 448, 859, 665, 173, 180, 482, 442, 210, 726, 530, 200, 829, 245, 707, 334, 719, 515, 700, 326, 85, 564, 645, 248, 743, 373, 300, 263, 202, 695, 37, 32, 801, 998, 283, 72, 106, 905, 314, 997, 728, 548, 573, 816, 967, 95, 168, 391, 593, 925, 169, 411, 841, 406, 648, 869, 381, 714, 970, 249, 885, 800, 206, 766, 632, 927, 509, 212, 75, 795, 401, 437, 821, 831, 286, 629, 83, 533, 239, 938, 934, 433, 373, 123, 780, 675, 710, 299, 191, 976, 227, 22, 207, 536, 304, 655, 590, 328, 876, 684, 583, 37, 895, 31, 520, 795, 318, 888, 119, 606, 479, 74, 44, 171, 667, 998, 415, 946, 469, 497, 381, 741, 727, 893, 19, 122, 377, 947, 699, 460, 782, 762, 122, 648, 463, 59, 302, 778, 196, 445, 375, 378, 571, 111, 210, 751, 570, 496, 283, 67, 332, 316, 368, 821, 579, 537, 172, 741, 846, 344, 924, 758, 799, 770, 296, 428, 300, 386, 537, 629, 341, 37, 712, 729, 696, 502, 788, 931, 793, 24, 621, 115, 469, 986, 894, 672, 712, 150, 810, 8, 916, 690, 138, 95, 289, 257, 97, 423, 68, 336, 104, 188, 767, 935, 646}

{190, 509, 851, 9, 216, 509, 231, 132, 709, 753, 815, 613, 461, 598, 731, 662, 544, 853, 339, 711, 422, 560, 624, 911, 566, 997, 976, 759, 446, 15, 72, 214, 200, 298, 309, 230, 235, 914, 851, 369, 941, 922, 509, 464, 344, 279, 689, 99, 513, 621, 576, 267, 794, 759, 628, 946, 911, 957, 490, 523, 574, 576, 790, 615, 586, 871, 759, 583, 562, 577, 58, 962, 197, 985, 885, 981, 677, 748, 741, 102, 680, 534, 76, 677, 904, 870, 901, 369, 838, 685, 272, 776, 974, 979, 79, 289, 432, 442, 14, 542, 798, 521, 571, 197, 927, 54, 998, 601, 567, 7, 681, 794, 458, 745, 434, 235, 640, 186, 544, 999, 461, 568, 441, 417, 229, 326, 64, 257, 772, 994, 43, 816, 707, 919, 936, 182, 163, 592, 543, 490, 281, 887, 902, 602, 397, 822, 127, 424, 701, 666, 698, 259, 984, 183, 609, 749, 460, 306, 672, 118, 392, 457, 578, 840, 35, 498, 351, 314, 514, 824, 653, 554, 936, 39, 219, 412, 779, 162, 529, 680, 973, 20, 158, 211, 831, 123, 726, 152, 443, 82, 428, 695, 389, 624, 540, 961, 858, 647, 799, 306, 544, 889, 213, 940, 820, 595, 973, 422, 604, 812, 133, 976, 228, 694, 67, 351, 115, 254, 670, 956, 375, 857, 5, 907, 885, 816, 357, 232, 490, 401, 187, 251, 862, 937, 690, 106, 890, 858, 591, 69, 454, 408, 581, 496, 992, 309, 816, 965, 407, 177, 837, 545, 59, 282, 870, 501, 582, 907, 759, 590, 47, 396, 436, 441, 153, 518, 663, 674, 373, 894, 272, 97, 562, 249, 339, 914, 350, 3, 559, 617, 55, 339, 104, 235, 441, 3, 960, 230, 641, 721, 619, 76, 146, 643, 891, 266, 754, 114, 750, 520, 871, 729, 157, 868, 518, 58, 144, 871, 704, 517, 534, 767, 574, 577, 579, 458, 371, 295, 948, 865, 540, 865, 286, 984, 922, 606, 237, 657, 610, 817, 162, 781, 550, 21, 139, 996, 174, 122, 583, 975, 420, 180, 555, 381, 171, 876, 772, 685, 89, 817, 567, 631, 385, 979, 499, 645, 485, 570, 965, 140, 761, 645, 687, 667, 490, 310, 309, 410, 126, 485, 196, 766, 60, 129, 784, 383, 285, 737, 656, 745, 971, 999, 475, 610, 732, 629, 645, 706, 510, 752, 956, 10, 477, 535, 687, 45, 280, 840, 250, 66, 176, 858, 754, 210, 65, 154, 816, 176, 585, 387, 391, 383, 946, 964, 721, 233, 171, 266, 628, 168, 360, 254, 889, 777, 95, 33, 549, 904, 612, 844, 651, 737, 38, 719, 854, 714, 873, 15, 798, 830, 477, 444, 138, 266, 873, 954, 458, 615, 726, 894, 73, 773, 624, 76, 788, 782, 134, 492, 63, 710, 657, 581, 123, 638, 183, 514, 447, 906, 419, 635, 873, 882, 94, 604, 707, 519, 737, 657, 758, 659, 793, 988, 61, 736, 860, 681, 663, 13, 154, 114, 927, 224, 182, 482, 384, 284, 86, 945, 322, 97, 920, 700, 428, 800, 6, 279, 477, 468, 264, 870, 129, 764, 892, 170, 629, 67, 22, 384, 209, 90, 331, 577, 722, 88, 483, 437, 835, 100, 786, 661, 834, 806, 236, 283, 756, 724, 647, 915, 493, 197, 525, 353, 274, 805, 479, 422, 190, 506, 723, 521, 582, 956, 688, 211, 915, 78, 100, 679, 690, 533, 681, 67, 755, 298, 472, 539, 179, 828, 254, 529, 793, 225, 308, 434, 756, 756, 970, 779, 954, 751, 983, 431, 226, 866, 220, 53, 7, 160, 629, 779, 913, 339, 878, 232, 429, 831, 592, 102, 290, 136, 17, 176, 481, 642, 918, 374, 325, 935, 51, 21, 666, 821, 337, 131, 567, 427, 179, 35, 542, 179, 446, 648, 728, 23, 111, 699, 801, 365, 697, 814, 179, 947, 60, 301, 331, 443, 374, 782, 847, 368, 984, 389, 616, 396, 374, 714, 242, 348, 700, 814, 347, 538, 81, 408, 774, 976, 539, 120, 319, 390, 358, 872, 495, 247, 521, 474, 793, 307, 246, 556, 448, 908, 469, 636, 566, 348, 786, 975, 958, 61, 312, 252, 558, 563, 918, 817, 874, 375, 614, 32, 117, 801, 227, 989, 988, 290, 456, 906, 140, 333, 341, 425, 900, 60, 80, 489, 557, 673, 677, 890, 377, 146, 451, 614, 545, 278, 39, 667, 335, 216, 868, 414, 683, 773, 609, 980, 183, 600, 170, 368, 600, 728, 495, 492, 754, 265, 835, 72, 761, 643, 520, 311, 106, 108, 117, 773, 614, 170, 757, 438, 878, 507, 250, 852, 438, 142, 212, 857, 782, 278, 448, 640, 83, 569, 491, 115, 765, 663, 399, 500, 125, 787, 601, 603, 919, 113, 426, 371, 621, 321, 345, 973, 303, 512, 475, 659, 815, 297, 808, 746, 700, 828, 431, 77, 83, 528, 982, 676, 335, 871, 136, 756, 543, 488, 656, 916, 739, 838, 478, 687, 954, 629, 481, 274, 390, 212, 398, 91, 508, 500, 909, 103, 237, 921, 863, 770, 603, 638, 305, 350, 867, 306, 380, 941, 317, 556, 258, 454, 455, 556, 750, 581, 538, 920, 915, 991, 917, 89, 660, 481, 484, 172, 226, 623, 517, 707, 287, 311, 719, 443, 323, 529, 299, 251, 765, 402, 958, 292, 366, 952, 410, 391, 332, 27, 59, 807, 584, 751, 73, 111, 510, 345, 809, 668, 672, 633, 411, 323, 769, 610, 345, 691, 440, 178, 766, 550, 262, 204, 584, 499, 679, 936, 81, 922, 79, 411, 534, 397, 254, 374, 649, 942, 435, 304, 416, 190, 262, 929, 822, 928, 329, 916, 579, 727, 205, 589, 281, 475, 511, 343, 671, 947, 34, 161, 884, 587, 892, 506, 310, 934, 920, 453, 102, 896, 941, 166, 586, 879, 943, 420, 994, 7, 895, 434, 11, 616, 35, 246, 614, 972, 879, 292, 294, 203, 289, 751, 932, 701, 468, 906, 224, 391, 170, 554, 36, 694, 962, 249, 146, 174, 795, 395, 39, 397, 488, 374, 570, 147, 403, 537, 415, 426, 520, 184, 496, 529, 478, 179, 664, 753}

Returns: 10
{772, 885, 957, 533, 842, 364, 148, 21, 638, 265, 804, 56, 860, 560, 977, 561, 645, 399, 505, 561, 895, 683, 293, 661, 919, 17, 974, 861, 852, 523, 963, 901, 299, 274, 941, 980, 395, 679, 140, 393, 429, 297, 99, 453, 9, 203, 285, 969, 94, 874, 900, 971, 808, 14, 234, 404, 83, 217, 856, 947, 483, 515, 494, 458, 661, 164, 179, 156, 49, 165, 511, 286, 547, 220, 107, 822, 180, 474, 536, 258, 780, 950, 790, 437, 219, 304, 274, 145, 156, 247, 771, 200, 550, 972, 887, 920, 888, 950, 193, 528, 403, 620, 889, 27, 417, 852, 747, 497, 347, 962, 843, 153, 122, 725, 777, 237, 707, 293, 742, 110, 978, 220, 757, 300, 788, 551, 599, 115, 45, 963, 670, 851, 627, 220, 312, 601, 761, 923, 590, 814, 295, 53, 701, 136, 703, 755, 616, 861, 431, 804, 895, 906, 612, 225, 190, 316, 74, 962, 742, 428, 317, 168, 924, 335, 575, 481, 787, 676, 743, 366, 889, 441, 720, 368, 0, 53, 856, 352, 496, 439, 219, 949, 310, 469, 770, 118, 410, 678, 663, 559, 111, 486, 569, 912, 565, 680, 381, 923, 448, 573, 717, 578, 356, 626, 87, 797, 261, 194, 161, 257, 35, 496, 943, 361, 656, 65, 269, 836, 986, 714, 762, 895, 92, 709, 337, 594, 305, 473, 332, 253, 877, 844, 289, 435, 920, 684, 866, 511, 149, 414, 818, 963, 514, 936, 944, 200, 145, 399, 625, 369, 535, 194, 849, 727, 500, 970, 646, 602, 725, 171, 700, 83, 413, 389, 284, 857, 228, 669, 136, 448, 650, 348, 827, 801, 656, 542, 393, 458, 123, 339, 507, 553, 787, 895, 703, 266, 961, 351, 74, 80, 375, 680, 808, 866, 877, 966, 903, 593, 298, 563, 757, 352, 120, 626, 318, 798, 476, 678, 567, 576, 440, 882, 13, 650, 937, 640, 908, 800, 231, 741, 490, 623, 722, 631, 35, 105, 808, 504, 916, 666, 45, 229, 547, 539, 523, 591, 483, 476, 688, 213, 536, 357, 799, 68, 732, 928, 20, 860, 125, 636, 429, 19, 956, 870, 171, 727, 340, 672, 265, 265, 336, 121, 143, 281, 267, 695, 613, 950, 922, 614, 600, 646, 201, 827, 767, 736, 154, 294, 199, 589, 908, 244, 707, 353, 624, 321, 28, 461, 807, 98, 655, 101, 745, 639, 760, 920, 45, 591, 495, 667, 732, 563, 281, 256, 272, 528, 121, 747, 639, 586, 100, 487, 543, 827, 563, 804, 257, 842, 654, 346, 731, 587, 532, 596, 40, 971, 589, 176, 586, 963, 699, 440, 608, 246, 350, 609, 854, 285, 282, 674, 344, 371, 555, 854, 325, 138, 238, 482, 59, 442, 259, 305, 450, 586, 797, 149, 504, 275, 272, 418, 883, 951, 761, 624, 301, 888, 544, 19, 44, 273, 850, 585, 447, 488, 923, 430, 728, 460, 913, 951, 420, 892, 966, 429, 160, 98, 791, 787, 397, 674, 716, 503, 8, 933, 467, 405, 725, 213, 390, 479, 619, 540, 114, 942, 474, 782, 166, 212, 312, 625, 555, 284, 197, 635, 118, 622, 178, 37, 353, 982, 142, 708, 163, 923, 611, 334, 860, 47, 359, 620, 343, 960, 195, 983, 587, 47, 844, 388, 6, 636, 310, 261, 698, 970, 872, 973, 928, 71, 829, 601, 772, 682, 348, 983, 417, 870, 279, 729, 886, 321, 871, 608, 951, 523, 842, 648, 631, 757, 999, 612, 386, 499, 497, 649, 422, 257, 281, 665, 980, 958, 127, 297, 637, 622, 415, 621, 820, 452, 159, 660, 61, 922, 898, 223, 732, 79, 542, 821, 173, 428, 690, 108, 161, 153, 735, 454, 972, 533, 415, 476, 62, 325, 415, 124, 900, 554, 322, 429, 633, 475, 14, 599, 85, 541, 366, 248, 592, 543, 947, 750, 931, 437, 22, 458, 426, 172, 779, 925, 404, 950, 226, 560, 641, 264, 691, 918, 43, 952, 386, 404, 448, 117, 64, 972, 793, 892, 315, 103, 129, 483, 123, 236, 526, 173, 703, 941, 634, 349, 862, 426, 407, 105, 137, 280, 6, 244, 483, 928, 929, 500, 700, 100, 321, 989, 611, 922, 474, 839, 931, 373, 361, 233, 778, 507, 484, 113, 950, 174, 229, 466, 679, 159, 942, 490, 687, 691, 570, 583, 397, 430, 128, 81, 541, 624, 617, 126, 400, 646, 150, 751, 769, 427, 519, 213, 499, 417, 501, 259, 713, 229, 517, 45, 707, 99, 86, 943, 520, 766, 485, 34, 518, 440, 745, 593, 359, 6, 223, 213, 814, 769, 333, 923, 399, 53, 432, 182, 308, 174, 17, 974, 154, 81, 927, 582, 510, 330, 931, 876, 23, 446, 996, 468, 759, 986, 66, 167, 363, 531, 932, 483, 68, 428, 845, 848, 109, 413, 540, 27, 521, 890, 467, 3, 8, 193, 941, 685, 102, 43, 489, 142, 582, 177, 61, 731, 178, 36, 693, 617, 353, 803, 317, 152, 69, 849, 645, 422, 702, 829, 786, 973, 706, 599, 255, 385, 845, 224, 947, 492, 731, 555, 15, 723, 752, 411, 360, 47, 681, 774, 373, 717, 680, 100, 516, 659, 371, 294, 768, 940, 349, 334, 969, 344, 47, 177, 190, 829, 667, 294, 584, 392, 976, 215, 795, 319, 779, 897, 12, 890, 524, 383, 123, 81, 907, 380, 22, 268, 914, 172, 755, 231, 203, 478, 925, 596, 920, 385, 62, 454, 171, 124, 970, 973, 105, 200, 316, 385, 523, 735, 951, 9, 860, 72, 681, 394, 395, 903, 131, 798, 380, 216, 930, 944, 777, 694, 53, 246, 733, 124, 932, 625, 487, 972, 680, 967, 328, 305, 754, 63, 744, 123, 222, 329, 257, 108, 673, 739, 688, 848, 486, 716, 318, 506, 359, 117, 956, 326, 789, 991, 964, 601, 487, 542, 194, 125, 549, 381, 546, 894, 216, 915, 497, 351, 546, 548, 46, 906, 833, 649, 275, 358, 154, 384, 963, 208, 884, 910, 236, 720, 272, 666, 894, 394, 73, 314, 651, 361, 381, 160, 389, 9, 181, 607, 417, 278, 998, 482, 782, 874, 457, 540}

{555, 406, 415, 328, 252, 751, 37, 533, 337, 949, 970, 65, 214, 328, 750, 280, 274, 21, 322, 362, 615, 49, 404, 33, 702, 898, 720, 233, 603, 795, 681, 856, 541, 835, 126, 649, 352, 505, 735, 30, 743, 805, 525, 362, 568, 746, 911, 771, 838, 71, 966, 176, 620, 518, 900, 449, 237, 107, 487, 995, 741, 381, 268, 598, 283, 723, 821, 356, 641, 779, 386, 391, 371, 252, 122, 400, 867, 531, 438, 530, 303, 527, 688, 567, 620, 14, 661, 130, 893, 45, 722, 438, 581, 320, 499, 820, 731, 610, 622, 107, 188, 271, 835, 868, 260, 863, 825, 109, 8, 505, 771, 504, 555, 363, 275, 848, 104, 23, 828, 682, 251, 350, 559, 921, 879, 797, 628, 134, 324, 56, 804, 964, 22, 551, 89, 21, 711, 719, 890, 124, 794, 928, 86, 168, 10, 352, 261, 996, 752, 864, 257, 205, 829, 815, 65, 696, 550, 355, 685, 505, 781, 645, 420, 321, 937, 989, 354, 934, 276, 852, 186, 795, 23, 548, 236, 924, 402, 903, 209, 905, 830, 459, 518, 590, 274, 304, 39, 440, 566, 521, 618, 705, 323, 660, 497, 225, 850, 343, 482, 754, 745, 417, 484, 129, 816, 521, 443, 213, 734, 48, 916, 797, 503, 584, 634, 362, 325, 85, 877, 318, 99, 856, 925, 36, 462, 604, 442, 614, 289, 52, 895, 777, 477, 768, 638, 24, 621, 355, 671, 471, 651, 46, 195, 388, 255, 909, 526, 390, 538, 993, 861, 885, 513, 220, 109, 395, 499, 171, 138, 203, 322, 152, 321, 667, 644, 139, 206, 318, 886, 262, 412, 456, 627, 928, 907, 856, 758, 9, 794, 92, 444, 796, 684, 902, 942, 387, 262, 218, 756, 618, 586, 428, 247, 446, 402, 847, 211, 980, 721, 939, 83, 86, 808, 646, 32, 477, 191, 870, 899, 955, 915, 27, 872, 623, 762, 411, 860, 848, 469, 818, 886, 348, 699, 955, 129, 99, 490, 828, 606, 923, 113, 736, 556, 596, 580, 998, 987, 55, 82, 301, 72, 517, 713, 651, 136, 405, 630, 206, 905, 882, 789, 22, 964, 528, 234, 870, 499, 249, 946, 741, 261, 705, 834, 638, 537, 634, 288, 879, 520, 968, 581, 852, 670, 783, 488, 821, 318, 411, 388, 482, 8, 150, 56, 676, 210, 580, 774, 873, 192, 790, 181, 405, 117, 135, 109, 354, 397, 718, 271, 63, 589, 633, 996, 726, 225, 657, 758, 819, 363, 178, 916, 505, 173, 269, 817, 355, 855, 906, 972, 432, 640, 701, 810, 590, 139, 424, 13, 260, 760, 300, 650, 268, 965, 827, 853, 170, 854, 4, 465, 420, 831, 454, 430, 470, 774, 912, 608, 777, 594, 160, 848, 641, 699, 180, 834, 752, 99, 577, 517, 31, 466, 138, 444, 922, 237, 302, 431, 277, 783, 705, 267, 539, 135, 114, 528, 476, 460, 974, 34, 533, 734, 990, 699, 210, 509, 207, 987, 307, 955, 460, 374, 463, 327, 103, 598, 206, 377, 673, 729, 188, 342, 958, 335, 952, 432, 147, 692, 605, 328, 816, 165, 88, 321, 842, 497, 721, 905, 507, 758, 267, 496, 844, 179, 793, 19, 868, 260, 432, 901, 564, 79, 687, 391, 290, 999, 849, 750, 791, 363, 623, 793, 498, 559, 739, 334, 579, 672, 726, 362, 478, 969, 159, 436, 654, 830, 468, 229, 507, 524, 760, 383, 224, 11, 357, 133, 300, 518, 730, 167, 654, 263, 380, 698, 585, 842, 273, 760, 91, 935, 279, 824, 730, 974, 512, 436, 111, 383, 604, 923, 772, 273, 482, 575, 470, 672, 415, 588, 626, 141, 142, 592, 712, 449, 625, 526, 232, 775, 455, 200, 358, 432, 25, 302, 533, 317, 781, 826, 337, 577, 894, 35, 410, 417, 599, 532, 203, 247, 139, 93, 654, 872, 659, 492, 587, 991, 583, 976, 329, 746, 598, 204, 765, 810, 132, 484, 254, 597, 530, 851, 15, 210, 420, 211, 650, 80, 183, 348, 711, 829, 921, 606, 258, 363, 431, 935, 340, 549, 575, 733, 473, 366, 470, 853, 646, 469, 940, 772, 214, 585, 437, 581, 991, 169, 113, 4, 619, 203, 517, 968, 168, 125, 445, 284, 56, 303, 25, 118, 597, 567, 461, 557, 168, 470, 987, 266, 984, 384, 105, 520, 479, 607, 295, 740, 355, 461, 637, 372, 989, 642, 66, 569, 930, 518, 366, 856, 197, 756, 416, 635, 577, 627, 322, 528, 799, 273, 51, 768, 590, 305, 23, 252, 211, 445, 38, 515, 802, 794, 177, 708, 334, 674, 787, 467, 337, 60, 3, 593, 340, 154, 448, 131, 902, 819, 261, 189, 398, 164, 666, 348, 593, 880, 276, 650, 17, 512, 429, 271, 781, 39, 305, 130, 548, 157, 471, 572, 838, 277, 990, 83, 460, 639, 370, 42, 450, 434, 88, 967, 112, 440, 451, 83, 70, 262, 261, 950, 202, 861, 138, 577, 721, 231, 773, 606, 667, 858, 787, 883, 878, 903, 730, 467, 881, 961, 769, 560, 897, 750, 832, 708, 162, 746, 837, 115, 995, 662, 810, 444, 853, 481, 582, 37, 797, 211, 120, 24, 304, 654, 784, 244, 898, 205, 111, 634, 922, 614, 117, 222, 952, 972, 352, 768, 52, 593, 668, 928, 754, 396, 52, 674, 949, 52, 167, 415, 946, 416, 82, 729, 429, 565, 712, 763, 960, 713, 802, 769, 656, 7, 980, 230, 749, 944, 861, 82, 257, 528, 367, 512, 519, 876, 260, 360, 823, 495, 443, 388, 513, 316, 737, 127, 683, 126, 123, 304, 552, 597, 606, 577, 246, 995, 5, 615, 336, 341, 253, 343, 205, 107, 210, 676, 160, 168, 682, 185, 811, 776, 634, 435, 936, 582, 417, 379, 351, 929, 909, 480, 648, 691, 374, 352, 722, 54, 316, 683, 288, 654, 183, 98, 994, 375, 267, 388, 307, 898, 663, 96, 755, 941, 79, 752, 864, 4, 843, 284, 458, 358, 217, 372, 258, 772, 527, 318, 724, 244, 139, 274, 729, 983, 841, 963, 463, 943, 422, 95, 463, 363, 373, 824, 792, 314, 965}

Returns: 9
{106, 615, 605, 879, 213, 373, 544, 117, 41, 127, 39, 432, 185, 608, 187, 768, 848, 4, 671, 198, 506, 603, 223, 582, 203, 805, 279, 388, 219, 70, 437, 312, 864, 689, 450, 928, 691, 4, 668, 500, 851, 233, 851, 991, 680, 167, 653, 741, 984, 179, 628, 39, 404, 49, 162, 818, 39, 51, 538, 270, 382, 282, 385, 327, 920, 124, 324, 747, 265, 160, 680, 434, 932, 310, 392, 328, 799, 115, 66, 40, 277, 27, 443, 175, 395, 263, 742, 94, 346, 603, 565, 106, 359, 968, 236, 770, 823, 524, 235, 614, 995, 558, 19, 178, 157, 593, 351, 255, 575, 410, 275, 435, 259, 487, 190, 640, 193, 980, 603, 208, 666, 366, 366, 589, 807, 442, 256, 290, 208, 996, 620, 994, 112, 857, 563, 191, 496, 216, 98, 428, 127, 403, 565, 164, 938, 575, 700, 709, 445, 806, 879, 831, 279, 25, 20, 885, 817, 427, 912, 905, 422, 307, 539, 846, 623, 949, 106, 790, 261, 144, 34, 880, 787, 613, 918, 126, 228, 889, 850, 185, 292, 722, 485, 383, 217, 454, 14, 559, 795, 237, 570, 661, 487, 168, 823, 739, 176, 369, 984, 854, 151, 62, 980, 387, 672, 137, 395, 40, 888, 705, 805, 418, 763, 752, 728, 787, 643, 570, 392, 692, 930, 929, 917, 884, 163, 732, 380, 132, 45, 135, 725, 355, 711, 287, 917, 768, 400, 808, 890, 466, 372, 103, 640, 364, 103, 118, 433, 413, 879, 330, 514, 365, 888, 380, 365, 875, 8, 625, 594, 866, 651, 486, 421, 24, 76, 186, 663, 238, 897, 627, 561, 180, 568, 729, 517, 261, 947, 986, 731, 388, 296, 398, 453, 228, 721, 542, 576, 859, 564, 288, 138, 367, 921, 70, 601, 459, 540, 727, 991, 964, 871, 195, 183, 448, 543, 488, 616, 456, 973, 930, 607, 444, 662, 847, 65, 413, 39, 583, 278, 434, 243, 798, 472, 606, 150, 66, 132, 894, 390, 378, 616, 932, 26, 260, 544, 931, 333, 50, 764, 387, 527, 327, 767, 649, 675, 639, 986, 332, 486, 410, 227, 93, 698, 375, 724, 394, 451, 818, 378, 543, 248, 682, 708, 480, 713, 409, 453, 485, 465, 56, 351, 537, 599, 581, 799, 967, 156, 155, 361, 577, 664, 938, 359, 395, 977, 340, 758, 240, 899, 119, 870, 528, 313, 275, 667, 577, 98, 423, 450, 841, 504, 194, 262, 5, 237, 204, 202, 341, 752, 298, 298, 152, 80, 534, 748, 269, 639, 646, 593, 529, 843, 752, 758, 432, 28, 667, 588, 421, 450, 795, 525, 788, 689, 743, 455, 378, 625, 123, 987, 209, 312, 842, 879, 168, 958, 489, 367, 578, 972, 718, 950, 65, 553, 367, 509, 789, 732, 626, 943, 496, 890, 676, 75, 734, 696, 683, 845, 744, 179, 89, 771, 450, 522, 265, 677, 85, 411, 422, 115, 255, 870, 847, 957, 103, 420, 556, 491, 757, 977, 728, 239, 417, 525, 782, 852, 45, 239, 65, 605, 520, 637, 216, 16, 572, 312, 418, 239, 192, 480, 531, 312, 106, 719, 705, 469, 918, 597, 323, 499, 562, 85, 159, 732, 955, 201, 406, 496, 42, 908, 779, 238, 111, 573, 769, 784, 199, 640, 160, 590, 838, 979, 338, 620, 147, 707, 430, 965, 151, 692, 114, 21, 217, 731, 266, 13, 518, 977, 2, 985, 269, 104, 672, 271, 755, 718, 192, 497, 524, 247, 183, 596, 89, 549, 33, 552, 952, 450, 817, 646, 279, 503, 394, 486, 694, 350, 673, 713, 742, 33, 812, 3, 762, 405, 268, 552, 310, 790, 924, 998, 605, 309, 962, 677, 19, 350, 781, 820, 85, 152, 594, 523, 978, 185, 292, 217, 905, 712, 170, 539, 68, 418, 420, 792, 461, 433, 695, 102, 952, 495, 355, 83, 274, 861, 136, 224, 2, 777, 162, 641, 428, 373, 617, 470, 622, 1, 831, 346, 912, 230, 825, 320, 288, 748, 133, 442, 574, 574, 620, 972, 889, 315, 239, 897, 613, 184, 225, 840, 280, 100, 512, 304, 61, 652, 921, 231, 139, 566, 109, 344, 897, 816, 421, 126, 818, 689, 362, 645, 670, 114, 709, 406, 602, 318, 649, 470, 446, 885, 252, 335, 890, 84, 202, 89, 874, 69, 976, 636, 442, 287, 686, 515, 753, 670, 593, 464, 229, 270, 199, 32, 807, 405, 719, 625, 570, 105, 450, 297, 928, 292, 363, 172, 952, 219, 845, 680, 369, 507, 261, 939, 254, 692, 234, 460, 325, 789, 112, 484, 228, 984, 717, 644, 377, 862, 790, 435, 468, 45, 525, 835, 889, 952, 201, 624, 847, 121, 211, 594, 154, 997, 567, 727, 11, 465, 196, 82, 602, 975, 948, 183, 183, 63, 875, 745, 920, 477, 957, 168, 12, 96, 522, 998, 40, 417, 331, 302, 664, 286, 430, 373, 897}

{805, 714, 574, 655, 290, 551, 239, 589, 664, 364, 421, 941, 467, 301, 816, 427, 202, 435, 873, 805, 52, 120, 766, 200, 699, 925, 329, 979, 4, 611, 463, 32, 667, 499, 687, 848, 855, 939, 682, 857, 176, 764, 777, 316, 799, 498, 85, 84, 245, 654, 610, 540, 153, 16, 402, 897, 840, 377, 334, 955, 112, 922, 112, 658, 322, 243, 423, 352, 644, 573, 58, 566, 830, 894, 516, 247, 516, 813, 734, 369, 893, 713, 116, 162, 681, 509, 883, 875, 334, 443, 433, 667, 408, 219, 955, 318, 874, 426, 819, 698, 273, 277, 218, 188, 903, 985, 959, 6, 192, 565, 937, 773, 405, 52, 242, 226, 254, 356, 140, 273, 781, 131, 352, 519, 846, 225, 870, 818, 808, 219, 539, 936, 332, 555, 962, 460, 838, 117, 315, 844, 850, 743, 360, 66, 782, 94, 830, 251, 533, 625, 953, 419, 39, 98, 865, 260, 272, 361, 106, 443, 36, 64, 290, 802, 158, 283, 372, 344, 229, 708, 262, 904, 448, 277, 787, 469, 623, 949, 821, 126, 780, 490, 121, 184, 649, 101, 682, 201, 540, 738, 888, 801, 701, 721, 762, 433, 509, 209, 332, 3, 444, 729, 32, 657, 437, 980, 319, 542, 768, 508, 878, 32, 907, 794, 348, 363, 851, 849, 730, 41, 243, 901, 972, 536, 650, 257, 322, 210, 917, 145, 3, 679, 602, 798, 11, 606, 766, 384, 859, 896, 64, 119, 182, 784, 778, 954, 475, 382, 892, 780, 328, 614, 553, 31, 298, 293, 80, 921, 892, 998, 463, 210, 520, 663, 476, 360, 989, 268, 399, 35, 480, 366, 856, 234, 540, 47, 383, 954, 217, 941, 799, 879, 306, 738, 141, 287, 73, 626, 837, 955, 425, 403, 508, 159, 525, 195, 76, 572, 400, 593, 523, 492, 286, 248, 355, 819, 406, 271, 269, 227, 919, 272, 502, 210, 327, 358, 441, 396, 1, 854, 824, 351, 603, 553, 492, 939, 457, 542, 986, 95, 46, 842, 656, 562, 743, 707, 217, 980, 858, 742, 588, 182, 585, 512, 136, 421, 919, 219, 85, 464, 780, 51, 580, 640, 622, 305, 250, 12, 283, 543, 449, 829, 966, 842, 701, 466, 91, 352, 997, 277, 879, 507, 588, 462, 577, 833, 146, 889, 198, 526, 629, 12, 887, 192, 217, 875, 419, 291, 879, 924, 602, 176, 428, 132, 268, 607, 838, 853, 946, 333, 761, 261, 730, 156, 303, 448, 540, 804, 914, 64, 297, 87, 506, 243, 586, 769, 220, 792, 500, 552, 467, 704, 182, 66, 433, 484, 289, 844, 448, 167, 854, 367, 827, 684, 204, 248, 218, 532, 361, 308, 701, 493, 412, 751, 357, 787, 179, 902, 187, 498, 901, 338, 331, 605, 406, 884, 299, 837, 300, 780, 481, 441, 822, 24, 737, 449, 347, 715, 629, 87, 491, 997, 264, 97, 780, 624, 2, 278, 111, 477, 527, 881, 471, 605, 370, 163, 828, 270, 733, 721, 320, 665, 248, 987, 370, 442, 225, 333, 410, 521, 931, 709, 661, 660, 766, 468, 578, 806, 338, 990, 366, 879, 433, 701, 174, 58, 875, 234, 435, 808, 859, 353, 760, 932, 533, 513, 468, 234, 263, 52, 464, 252, 373, 398, 500, 989, 982, 328, 701, 689, 394, 826, 414, 524, 952, 562, 829, 211, 804, 367, 120, 997, 795, 648, 283, 18, 649, 568, 271, 252, 18, 349, 957, 312, 28, 145, 263, 788, 580, 970, 680, 373, 431, 862, 685, 182, 75, 656, 716, 898, 474, 763, 616, 213, 5, 612, 300, 406, 677, 470, 436, 581, 604, 106, 975, 620, 579, 542, 583, 919, 731, 63, 242, 389, 573, 198, 576, 316, 537, 460, 857, 333, 976, 962, 228, 906, 760, 434, 692, 595, 284, 478, 963, 259, 15, 837, 7, 513, 975, 769, 801, 872, 46, 203, 615, 237, 671, 948, 91, 852, 206, 393, 324, 571, 627, 912, 843, 453, 756, 974, 740, 885, 727, 647, 729, 812, 220, 583, 979, 57, 936, 982, 854, 581, 946, 343, 235, 542, 957, 903, 655, 119, 373, 276, 946, 124, 170, 93, 827, 969, 137, 871, 615, 373, 691, 273, 867, 181, 932, 590, 378, 87, 172, 47, 159, 173, 836, 316, 479, 301, 685, 820, 700, 614, 765, 523, 689, 206, 780, 241, 105, 965, 589, 547, 357, 758, 693, 804, 762, 400, 580, 812, 780, 520, 855, 954, 99, 721, 316, 964, 469, 964, 255, 221, 983, 264, 518, 371, 157, 927, 684, 101, 993, 196, 596, 976, 153, 124, 32, 28, 287, 981, 576, 601, 418, 324, 652, 850, 541, 829, 195, 726, 545, 20, 898, 116, 982, 958, 338, 931, 68, 4, 157, 553, 98, 152, 165, 863, 657, 940, 841, 493, 544, 112, 18, 987, 282, 728, 935, 237, 47, 599, 986, 32, 90, 599, 629, 802, 895, 120}

Returns: 9
{279, 241, 174, 625, 590, 335, 224, 82, 218, 661, 372, 226, 809, 166, 233, 78, 700, 669, 975, 14, 398, 546, 33, 726, 561, 604, 192, 925, 613, 631, 582, 385, 591, 763, 284, 293, 303, 275, 150, 395, 791, 931, 955, 452, 472, 954, 428, 896, 777, 444, 7, 588, 909, 901, 868, 769, 261, 474, 120, 232, 815, 976, 14, 736, 718, 477, 981, 968, 964, 627, 179, 135, 462, 4, 901, 502, 253, 158, 97, 602, 314, 776, 694, 872, 843, 300, 90, 290, 144, 785, 813, 152, 772, 819, 472, 611, 158, 672, 531, 895, 51, 114, 495, 498, 242, 72, 153, 968, 189, 642, 790, 903, 197, 233, 641, 442, 92, 343, 234, 451, 524, 167, 686, 488, 846, 811, 851, 536, 507, 611, 99, 363, 941, 744, 904, 434, 407, 531, 179, 612, 973, 766, 394, 327, 262, 442, 241, 96, 581, 24, 875, 608, 615, 164, 484, 985, 778, 200, 260, 652, 889, 786, 931, 518, 764, 331, 280, 670, 630, 35, 902, 111, 22, 667, 923, 612, 572, 186, 31, 136, 996, 682, 262, 90, 135, 339, 273, 370, 535, 894, 268, 572, 257, 419, 363, 820, 288, 389, 120, 713, 209, 635, 969, 117, 692, 113, 944, 997, 406, 675, 785, 520, 565, 501, 145, 188, 937, 705, 237, 964, 112, 299, 562, 656, 311, 84, 887, 484, 980, 2, 511, 363, 434, 174, 735, 160, 435, 343, 437, 113, 975, 207, 193, 476, 779, 145, 36, 879, 594, 32, 230, 329, 414, 574, 608, 968, 513, 238, 727, 903, 810, 192, 513, 376, 445, 185, 664, 991, 387, 634, 135, 399, 245, 437, 558, 191, 374, 307, 459, 34, 108, 723, 751, 970, 882, 469, 201, 113, 823, 841, 542, 853, 803, 21, 504, 897, 47, 334, 554, 28, 702, 646, 228, 394, 512, 67, 41, 584, 876, 540, 359, 696, 965, 558, 832, 324, 344, 817, 534, 251, 96, 731, 666, 577, 434, 989, 808, 969, 44, 897, 443, 881, 699, 390, 357, 989, 990, 787, 293, 999, 716, 435, 91, 762, 404, 484, 410, 808, 192, 251, 192, 176, 22, 835, 464, 854, 592, 930, 857, 690, 409, 635, 914, 956, 905, 387, 632, 619, 281, 501, 630, 751, 220, 674, 110, 648, 523, 677, 761, 292, 833, 705, 917, 149, 842, 219, 720, 546, 340, 620, 171, 304, 403, 834, 366, 585, 286, 280, 202, 254, 441, 327, 209, 298, 301, 732, 319, 10, 851, 300, 205, 19, 221, 539, 500, 325, 678, 199, 597, 833, 980, 195, 223, 75, 560, 860, 559, 431, 869, 358, 704, 445, 301, 263, 71, 611, 657, 255, 345, 46, 757, 419, 432, 511, 666, 810, 262, 313, 591, 241, 907, 930, 842, 538, 425, 67, 930, 917, 700, 841, 787, 666, 385, 823, 274, 952, 778, 438, 607, 48, 666, 621, 572, 584, 415, 588, 604, 658, 490, 61, 98, 16, 120, 299, 535, 327, 115, 997, 452, 918, 187, 381, 937, 905, 623, 876, 640, 163, 845, 945, 985, 743, 568, 844, 476, 110, 379, 186, 438, 548, 77, 151, 806, 827, 890, 595, 544, 897, 594, 725, 132, 182, 911, 645, 891, 953, 374, 237, 430, 412, 524, 682, 83, 696, 28, 674, 226, 56, 697, 834, 4, 434, 689, 977, 424, 745, 642, 946, 525, 393, 636, 837, 547, 484, 621, 429, 790, 181, 58, 908, 168, 23, 833, 574, 220, 785, 639, 312, 47, 517, 765, 350, 888, 896, 83, 453, 192, 455, 33, 210, 903, 56, 763, 607, 276, 197, 198, 46, 257, 109, 96, 34, 275, 654, 31, 687, 708, 883, 787, 924, 412, 264, 194, 991, 191, 17, 296, 304, 720, 894, 545, 253, 619, 150, 82, 187, 231, 179, 747, 738, 614, 2, 943, 274, 85, 102, 819, 669, 846, 367, 876, 116, 76, 395, 629, 223, 540, 772, 920, 381, 353, 935, 37, 400, 691, 432, 954, 61, 140, 723, 431, 644, 231, 755, 249, 563, 699, 186, 240, 894, 623, 25, 447, 561, 56, 546, 108, 505, 132, 797, 641, 706, 28, 88, 636, 509, 493, 351, 37, 566, 207, 106, 929, 184, 827, 328, 623, 252, 589, 576, 243, 891, 732, 376, 455, 418, 26, 478, 330, 641, 538, 790, 959, 804, 305, 115, 165, 145, 729, 721, 102, 853, 811, 194, 843, 902, 656, 948, 230, 176, 45, 505, 474, 204, 493, 605, 144, 472, 283, 713, 567, 286, 765, 268, 409, 26, 27, 934, 600, 64, 146, 734, 806, 351, 105, 647, 449, 25, 992, 884, 475, 559, 547, 599, 147, 259, 445, 630, 609, 544, 111, 486, 367, 393, 305, 754, 590, 195, 43, 420, 348, 909, 707, 723, 943, 382, 102, 84, 505, 959, 404, 571, 796, 379, 638, 333, 884, 88, 609, 692, 752, 320, 218, 756, 505, 118, 267, 362, 449, 999, 101, 940, 247, 556, 168, 310, 570, 987, 658, 216, 668, 19, 980, 172, 860, 863, 72, 322, 455, 324, 291, 918, 485, 916, 527, 585, 59, 895, 610, 529, 971, 770, 912, 953, 551, 574, 829, 512, 667, 731, 116, 478, 110, 210, 100, 903, 519, 932, 935, 52, 779, 866, 322, 531, 21, 496, 94, 398, 331, 889, 520, 927, 475, 165, 73, 939, 713, 448, 39, 470, 217, 421, 371, 719, 227, 870, 340, 217, 299, 677, 604, 440, 987, 125, 837, 886, 200, 922, 221, 420, 913, 450, 313, 72, 594, 409, 691, 183, 259, 728, 775, 563, 860, 982, 145, 518, 19, 768, 754, 39, 418, 535, 993, 609, 860, 254, 531, 750, 203, 255, 86, 253, 414, 466, 965, 574, 92, 152, 326, 927, 420, 321, 847, 724, 332, 27, 540, 67, 203, 266, 16, 593, 231, 357, 562, 568, 805, 675, 236, 946, 598, 797, 8, 376, 488, 711, 223, 657, 784, 903, 168, 845, 907, 831, 273, 904, 980, 781, 311, 625, 129, 219, 716, 114, 822, 200, 302, 972, 608, 272, 973, 155, 554, 554, 200, 630, 124, 480, 921, 993, 264, 551, 206, 576, 219, 931, 78, 624, 779}

{687, 404, 171, 974, 423, 617, 181, 959, 173, 696, 618, 279, 979, 492, 289, 28, 633, 856, 348, 674, 65, 57, 599, 742, 196, 491, 322, 623, 788, 838, 425, 780, 287, 7, 128, 343, 652, 858, 991, 620, 264, 432, 42, 634, 356, 761, 780, 732, 939, 980, 833, 16, 279, 735, 462, 93, 189, 93, 956, 148, 272, 488, 257, 209, 185, 360, 793, 384, 933, 891, 751, 613, 919, 106, 993, 128, 659, 1, 224, 854, 544, 479, 652, 312, 442, 318, 820, 516, 275, 774, 847, 57, 181, 842, 355, 662, 123, 275, 676, 382, 817, 766, 204, 809, 586, 842, 501, 9, 617, 832, 90, 324, 744, 958, 340, 295, 823, 882, 414, 263, 722, 186, 43, 636, 820, 716, 282, 958, 725, 956, 67, 887, 490, 805, 735, 771, 945, 519, 992, 999, 263, 464, 99, 460, 125, 942, 941, 351, 825, 225, 948, 3, 751, 48, 918, 98, 180, 921, 698, 529, 578, 167, 555, 531, 609, 446, 855, 836, 500, 455, 880, 122, 511, 777, 883, 657, 622, 874, 998, 728, 488, 973, 527, 880, 449, 775, 176, 852, 529, 667, 226, 816, 695, 719, 635, 228, 482, 821, 880, 406, 527, 875, 593, 67, 559, 485, 294, 396, 850, 393, 887, 877, 548, 668, 194, 754, 5, 83, 417, 226, 760, 201, 561, 130, 913, 147, 68, 435, 843, 152, 14, 761, 459, 716, 154, 519, 452, 756, 107, 488, 673, 786, 363, 255, 478, 442, 377, 136, 738, 86, 416, 820, 725, 446, 759, 675, 396, 835, 217, 707, 881, 96, 855, 429, 643, 34, 608, 337, 255, 149, 690, 879, 153, 461, 605, 937, 993, 671, 618, 320, 127, 443, 919, 227, 901, 860, 731, 259, 660, 625, 808, 948, 700, 432, 253, 283, 439, 732, 811, 187, 214, 975, 235, 336, 978, 874, 428, 422, 561, 675, 692, 78, 528, 283, 117, 784, 711, 337, 496, 354, 900, 586, 749, 477, 741, 798, 998, 839, 449, 515, 197, 485, 440, 843, 600, 911, 464, 960, 934, 760, 794, 494, 246, 83, 418, 242, 450, 15, 91, 123, 592, 489, 981, 437, 112, 104, 130, 869, 412, 655, 220, 924, 530, 750, 722, 902, 58, 911, 918, 453, 410, 331, 958, 610, 755, 350, 311, 83, 115, 672, 895, 425, 316, 309, 181, 223, 250, 255, 830, 368, 767, 309, 669, 742, 305, 867, 464, 220, 878, 839, 778, 781, 250, 906, 534, 25, 610, 133, 640, 724, 132, 835, 216, 382, 734, 159, 328, 89, 724, 398, 812, 446, 693, 301, 947, 495, 432, 303, 989, 456, 880, 484, 86, 959, 26, 886, 385, 314, 322, 466, 987, 958, 420, 651, 608, 534, 471, 253, 855, 551, 77, 72, 470, 242, 174, 891, 419, 497, 528, 591, 438, 594, 463, 92, 740, 557, 291, 239, 290, 30, 667, 354, 393, 870, 660, 601, 335, 734, 173, 725, 60, 680, 410, 817, 589, 993, 893, 579, 664, 293, 275, 1, 33, 945, 741, 925, 531, 887, 872, 345, 49, 913, 273, 849, 698, 621, 875, 870, 728, 410, 453, 184, 944, 351, 476, 61, 667, 879, 781, 225, 35, 6, 142, 136, 302, 822, 883, 912, 983, 760, 113, 184, 307, 76, 532, 842, 476, 95, 72, 578, 382, 745, 906, 654, 797, 895, 28, 740, 842, 450, 540, 463, 174, 44, 988, 853, 278, 44, 211, 310, 747, 524, 475, 254, 619, 663, 470, 65, 222, 840, 24, 918, 973, 591, 74, 969, 331, 117, 717, 259, 28, 663, 505, 756, 24, 7, 467, 185, 529, 242, 212, 443, 939, 517, 382, 913, 465, 830, 470, 223, 365, 725, 585, 539, 869, 571, 608, 255, 798, 736, 220, 18, 260, 299, 87, 278, 950, 517, 305, 836, 315, 150, 371, 946, 763, 840, 199, 533, 544, 873, 324, 811, 896, 996, 811, 78, 453, 216, 574, 29, 430, 379, 403, 159, 345, 138, 74, 971, 471, 696, 133, 973, 334, 378, 815, 891, 683, 693, 703, 602, 939, 121, 24, 137, 107, 158, 656, 981, 584, 899, 715, 888, 431, 202, 361, 920, 761, 53, 885, 949, 395, 182, 864, 944, 244, 992, 253, 466, 222, 896, 481, 782, 135, 648, 3, 528, 763, 9, 702, 872, 170, 100, 738, 933, 811, 889, 611, 569, 523, 788, 449, 751, 755, 234, 616, 409, 256, 482, 586, 992, 424, 473, 131, 907, 508, 629, 803, 244, 27, 909, 838, 133, 158, 458, 209, 495, 738, 883, 394, 492, 644, 267, 118, 994, 914, 325, 340, 333, 943, 40, 856, 703, 566, 682, 11, 150, 338, 877, 77, 758, 297, 664, 301, 5, 390, 500, 449, 476, 446, 378, 866, 529, 212, 420, 629, 824, 878, 170, 406, 642, 95, 582, 865, 733, 108, 355, 320, 992, 655, 843, 462, 288, 929, 188, 26, 70, 221, 397, 687, 295, 420, 584, 929, 262, 42, 523, 993, 709, 438, 294, 846, 753, 74, 749, 565, 616, 617, 121, 552, 674, 104, 430, 354, 82, 546, 82, 360, 299, 572, 668, 80, 436, 536, 508, 512, 159, 932, 624, 560, 884, 148, 304, 563, 236, 363, 0, 843, 711, 169, 642, 862, 724, 806, 751, 861, 733, 818, 832, 920, 682, 800, 121, 200, 442, 657, 140, 131, 635, 698, 717, 888, 908, 758, 896, 302, 783, 733, 765, 707, 676, 240, 691, 480, 653, 403, 919, 513, 947, 815, 680, 491, 925, 887, 61, 548, 196, 939, 990, 791, 869, 781, 462, 301, 931, 783, 429, 425, 655, 964, 586, 721, 939, 668, 16, 6, 960, 902, 219, 34, 929, 872, 868, 324, 455, 998, 594, 750, 94, 660, 629, 245, 593, 399, 496, 105, 823, 40, 431, 225, 708, 731, 148, 973, 132, 41, 307, 998, 325, 550, 555, 393, 37, 260, 566, 287, 853, 777, 832, 627, 428, 228, 279, 38, 93, 769, 514, 141, 236, 458, 750, 257, 203, 185, 5, 961, 861, 150, 25, 524, 620, 705, 88, 424, 972, 427, 728, 919, 357, 725, 292, 336, 987, 180, 392, 200, 717, 445, 38, 708}

Returns: 11
{220, 436, 406, 392, 845, 716, 716, 114, 725, 164, 714, 220, 217, 885, 822, 48, 970, 927, 899, 838, 917, 12, 402, 777, 489, 826, 513, 16, 788, 927, 165, 938, 63, 173, 459, 213, 274, 488, 764, 565, 365, 828, 553, 284, 401, 697, 375, 707, 944, 287, 510, 961, 41, 904, 478, 437, 828, 73, 796, 913, 801, 655, 529, 349, 48, 301, 779, 737, 205, 600, 37, 711, 522, 74, 60, 363, 550, 786, 223, 390, 429, 800, 589, 652, 68, 31, 641, 370, 664, 209, 103, 770, 938, 973, 395, 579, 979, 255, 31, 156, 370, 943, 798, 391, 719, 991, 583, 110, 241, 736, 161, 448, 393, 227, 133, 251, 420, 452, 732, 210, 290, 877, 72, 22, 982, 290, 78, 37, 839, 130, 847, 851, 306, 421, 340, 464, 396, 605, 389, 681, 998, 788, 836, 240, 197, 243, 445, 694, 904, 341, 701, 120, 363, 514, 761, 273, 841, 364, 160, 204, 880, 400, 169, 625, 419, 620, 431, 343, 99, 442, 820, 679, 705, 810, 26, 669, 425, 15, 5, 371, 122, 925, 367, 634, 936, 284, 847, 788, 331, 281, 815, 858, 238, 566, 211, 693, 857, 329, 11, 53, 866, 831, 864, 803, 397, 359, 343, 990, 471, 160, 713, 764, 155, 82, 666, 848, 958, 957, 329, 171, 41, 588, 201, 87, 138, 324, 784, 585, 175, 567, 664, 826, 43, 209, 728, 496, 993, 400, 605, 658, 927, 213, 151, 778, 72, 159, 39, 326, 646, 782, 3, 639, 460, 255, 872, 8, 361, 993, 844, 129, 787, 568, 458, 236, 281, 182, 582, 85, 716, 404, 662, 230, 912, 533, 185, 915, 3, 527, 634, 19, 101, 526, 67, 608, 988, 621, 143, 904, 509, 478, 918, 360, 641, 859, 31, 897, 562, 847, 260, 588, 230, 980, 829, 525, 269, 261, 808, 156, 198, 216, 464, 682, 145, 710, 406, 242, 373, 537, 557, 627, 703, 498, 372, 470, 94, 563, 358, 882, 655, 846, 555, 185, 514, 778, 930, 570, 764, 780, 133, 133, 226, 130, 537, 493, 936, 618, 871, 301, 161, 585, 245, 971, 672, 313, 845, 310, 360, 359, 310, 901, 122, 462, 514, 858, 448, 436, 337, 775, 717, 353, 119, 911, 668, 115, 635, 726, 864, 306, 242, 89, 601, 166, 831, 15, 860, 350, 105, 782, 648, 233, 901, 901, 301, 508, 432, 65, 868, 538, 147, 275, 197, 279, 678, 536, 781, 952, 60, 595, 352, 10, 571, 456, 663, 888, 805, 954, 504, 825, 739, 734, 277, 707, 905, 971, 428, 845, 815, 139, 333, 792, 965, 732, 48, 923, 964, 145, 713, 631, 949, 129, 752, 773, 197, 118, 679, 317, 276, 575, 255, 365, 852, 770, 412, 927, 23, 916, 756, 212, 164, 191, 567, 685, 947, 112, 420, 882, 945, 256, 20, 860, 156, 371, 488, 895, 289, 34, 952, 877, 83, 531, 162, 174, 986, 217, 394, 894, 580, 347, 781, 966, 370, 710, 704, 249, 809, 842, 655, 29, 365, 850, 691, 971, 84, 516, 224, 103, 569, 82, 721, 304, 257, 652, 674, 722, 229, 79, 569, 991, 671, 78, 355, 282, 665, 164, 936, 600, 9, 825, 13, 270, 459, 538, 88, 919, 496, 44, 81, 911, 806, 61, 912, 502, 777, 509, 672, 26, 261, 670, 196, 535, 820, 958, 695, 137, 915, 770, 311, 487, 778, 22, 191, 219, 584, 164, 585, 523, 599, 469, 947, 522, 53, 272, 865, 69, 121, 678, 78, 345, 142, 180, 851, 472, 123, 426, 567, 198, 885, 521, 245, 501, 604, 957, 208, 787, 263, 94, 944, 909, 84, 585, 203, 391, 964, 198, 243, 511, 338, 234, 573, 929, 534, 226, 938, 508, 195, 240, 309, 92, 330, 464, 968, 131, 684, 32, 806, 46, 28, 433, 448, 851, 746, 646, 459, 805, 685, 769, 841, 823, 936, 878, 158, 820, 2, 226, 437, 803, 220, 318, 500, 283, 164, 643, 298, 108, 882, 468, 350, 162, 214, 346, 923, 39, 688, 877, 991, 808, 241, 751, 787, 391, 354, 260, 686, 626, 871, 687, 71, 826, 673, 3, 973, 453, 619, 5, 92, 182, 790, 881, 934, 710, 799, 958, 945, 210, 203, 763, 306, 334, 873, 229, 758, 622, 299, 249, 645, 285, 40, 894, 177, 923, 412, 104, 394, 561, 473, 453, 863, 768, 836, 278, 401, 544, 698, 879, 867, 616, 558, 816, 977, 771, 621, 11, 531, 314, 51, 296, 554, 265, 927, 560, 697, 689, 320, 520, 602, 836, 804, 906, 903, 445, 930, 759, 928, 462, 400, 121, 365, 118, 787, 131, 992, 736, 782, 552, 642, 442, 995, 273, 860, 190, 569, 430, 931, 945, 690, 374, 294, 576, 317, 659, 540, 427, 684, 304, 782, 53, 484, 335, 322, 574, 325, 667, 784, 844, 412, 63, 332, 279, 597, 385, 470, 791, 56, 521, 791, 827, 660, 891, 430, 963, 385, 408, 320, 12, 290, 739, 596, 493, 885, 739, 124, 203, 941, 47, 172, 219, 167, 190, 67, 413, 297, 600, 61, 853, 365, 790, 648, 306, 725, 867, 617, 640, 270, 907, 755, 524, 121, 645, 967, 447, 503, 0, 128, 827, 255, 619, 876, 510, 164, 662, 64, 94, 620, 638, 513, 932, 691, 89, 437, 872, 235, 407, 61, 360, 416, 571, 170, 637, 158, 743, 858, 615, 742, 385, 674, 150, 926, 177, 545, 469, 78, 604, 80, 964, 607, 151, 198, 243, 855, 873, 562, 533, 934, 317, 705, 17, 758, 555, 872, 678, 141, 454, 72, 948, 918, 352, 149, 234, 849, 704, 188, 110, 511, 212, 936, 31, 277, 275, 627, 938, 332, 467, 996, 227, 601, 573, 204, 384, 723, 41, 627, 665, 659, 29, 69, 66, 220, 299, 3, 302, 310, 649, 229, 113, 366, 169, 486, 652, 789, 192, 123, 881, 874, 4, 296, 103, 932, 474, 142, 902, 702, 161, 507, 925, 631, 289, 393, 571, 387, 529, 661, 854, 0, 545, 112, 992, 903, 388, 221, 928, 310, 439, 474, 271, 111, 600, 614, 507, 512, 172}

{897, 125, 463, 989, 832, 817, 889, 881, 876, 233, 695, 271, 652, 844, 679, 639, 335, 210, 250, 729, 138, 863, 433, 938, 452, 773, 302, 309, 3, 320, 584, 773, 964, 58, 922, 728, 667, 81, 203, 588, 510, 139, 868, 747, 504, 892, 630, 266, 947, 614, 971, 694, 554, 907, 43, 580, 883, 412, 605, 140, 870, 160, 516, 866, 603, 938, 454, 4, 366, 295, 296, 496, 91, 241, 539, 550, 125, 349, 554, 535, 692, 575, 532, 901, 813, 268, 796, 439, 681, 10, 496, 595, 751, 708, 724, 886, 304, 642, 342, 331, 259, 424, 551, 184, 622, 806, 314, 917, 574, 57, 668, 831, 368, 76, 182, 524, 175, 669, 463, 259, 307, 436, 695, 213, 543, 437, 147, 36, 754, 771, 772, 576, 351, 246, 475, 691, 395, 264, 472, 294, 255, 847, 435, 783, 676, 512, 670, 423, 357, 394, 840, 497, 836, 371, 762, 262, 78, 105, 185, 153, 929, 925, 860, 964, 112, 939, 704, 782, 426, 989, 19, 316, 942, 147, 677, 174, 974, 16, 724, 316, 407, 826, 526, 421, 275, 575, 272, 943, 270, 510, 330, 721, 515, 695, 484, 642, 846, 472, 784, 278, 939, 216, 439, 102, 728, 434, 426, 985, 956, 761, 750, 409, 972, 109, 501, 257, 445, 188, 408, 722, 632, 287, 250, 66, 317, 427, 187, 334, 632, 312, 913, 481, 854, 604, 241, 961, 274, 763, 362, 117, 752, 506, 498, 489, 831, 144, 482, 905, 601, 171, 302, 950, 655, 472, 591, 897, 142, 30, 539, 52, 938, 511, 785, 709, 30, 809, 301, 676, 801, 773, 385, 965, 891, 304, 472, 120, 750, 762, 227, 378, 324, 931, 694, 511, 913, 608, 208, 159, 706, 177, 977, 407, 218, 200, 308, 700, 889, 760, 795, 35, 849, 749, 412, 438, 856, 642, 437, 961, 151, 671, 519, 183, 874, 231, 773, 105, 194, 484, 970, 60, 360, 357, 311, 835, 649, 982, 73, 253, 940, 399, 338, 18, 761, 687, 405, 471, 397, 401, 208, 730, 119, 289, 408, 248, 631, 69, 350, 690, 198, 364, 858, 526, 831, 834, 324, 15, 581, 404, 89, 480, 235, 167, 725, 993, 551, 593, 910, 708, 354, 584, 522, 286, 877, 532, 978, 247, 959, 789, 471, 66, 208, 939, 632, 34, 651, 329, 848, 269, 597, 48, 366, 250, 352, 475, 371, 674, 419, 549, 734, 24, 282, 208, 483, 465, 386, 283, 785, 224, 217, 131, 884, 653, 716, 957, 346, 283, 927, 312, 484, 565, 684, 96, 584, 750, 535, 728, 266, 974, 894, 563, 78, 401, 727, 478, 919, 4, 756, 714, 428, 298, 711, 342, 584, 383, 570, 780, 317, 548, 64, 4, 901, 473, 75, 322, 552, 715, 155, 393, 363, 324, 612, 178, 416, 263, 11, 1, 766, 467, 731, 143, 537, 854, 801, 890, 484, 191, 545, 672, 870, 884, 525, 465, 869, 130, 317, 733, 293, 34, 644, 761, 329, 115, 61, 578, 782, 565, 220, 486, 998, 127, 664, 462, 575, 761, 313, 20, 80, 231, 324, 425, 466, 33, 705, 319, 816, 938, 40, 774, 862, 75, 592, 439, 838, 479, 573, 775, 96, 854, 970, 267, 474, 657, 515, 200, 801, 17, 494, 56, 961, 156, 57, 79, 210, 266, 133, 79, 168, 175, 65, 886, 473, 29, 522, 302, 86, 381, 638, 934, 73, 301, 446, 520, 709, 423, 294, 388, 634, 178, 124, 195, 200, 411, 364, 906, 86, 285, 25, 748, 457, 613, 890, 319, 810, 181, 738, 147, 388, 206, 474, 374, 501, 254, 379, 334, 478, 349, 383, 486, 539, 958, 532, 922, 917, 677, 562, 656, 717, 855, 464, 936, 231, 581, 989, 479, 200, 11, 180, 463, 147, 171, 385, 484, 623, 521, 115, 641, 497, 106, 537, 62, 729, 981, 6, 564, 368, 240, 468, 474, 673, 293, 85, 719, 725, 501, 974, 162, 419, 863, 191, 606, 431, 132, 727, 513, 419, 35, 415, 43, 435, 901, 176, 270, 369, 666, 674, 359, 714, 494, 368, 376, 339, 643, 915, 55, 442, 602, 310, 449, 424, 338, 278, 828, 50, 928, 869, 797, 55, 886, 645, 145, 482, 855, 716, 329, 140, 0, 877, 7, 150, 394, 279, 977, 838, 520, 888, 926, 843, 633, 402, 850, 923, 485, 103, 482, 388, 902, 490, 371, 815, 869, 172, 437, 561, 456, 182, 603, 13, 199, 222, 562, 588, 990, 326, 337, 154, 911, 693, 806, 704, 913, 318, 620, 851, 887, 131, 239, 885, 95, 876, 410, 139, 322, 307, 139, 765, 20, 402, 857, 154, 292, 211, 15, 405, 99, 617, 221, 310, 412, 59, 331, 814, 839, 678, 98, 827, 877, 297, 797, 992, 840, 77, 604, 303, 523, 557, 316, 403, 238, 981, 873, 628, 636, 611, 663, 45, 574, 307, 772, 498, 692, 825, 640, 123, 934, 106, 848, 335, 730, 321, 462, 828, 27, 223, 709, 601, 924, 783, 956, 490, 464, 449, 944, 796, 766, 717, 592, 326, 45, 814, 572, 142, 419, 588, 990, 708, 885, 169, 343, 604, 720, 672, 555, 743, 456, 934, 599, 778, 192, 500, 58, 256, 273, 897, 802, 22, 578, 713, 375, 391, 671, 871, 555, 539, 473, 974, 325, 968, 532, 236, 45, 754, 882, 434, 847, 515, 192, 985, 184, 881, 588, 425, 300, 23, 114, 229, 935, 373, 296, 586, 526, 961, 737, 641, 941, 116, 340, 101, 320, 504, 864, 557, 58, 865, 956, 792, 6, 119, 348, 243, 657, 998, 227, 767, 537, 781, 499, 734, 665, 274, 551, 547, 975, 318, 805, 893, 236, 850, 906, 870, 627, 171, 484, 851, 842, 734, 976, 667, 291, 566, 54, 546, 812, 152, 616, 66, 671, 899, 694, 440, 573, 933, 962, 604, 832, 913, 430, 885, 325, 708, 225, 682, 848, 817, 337, 639, 402, 137, 247, 221, 73, 871, 600, 142, 776, 432, 852, 86, 862, 292, 240, 350, 831, 591, 956, 349, 609, 878, 873, 120, 651, 241, 758, 61, 736, 840, 49, 79, 174, 807, 317}

Returns: 13
{897, 500, 207, 922, 771, 841, 496, 452, 339, 11, 962, 363, 344, 504, 359, 598, 261, 482, 857, 842, 305, 657, 251, 584, 15, 252, 862, 856, 153, 14, 795, 925, 461, 650, 153, 892, 548, 479, 498, 697, 57, 285, 954, 323, 615, 816, 224, 509, 367, 317, 99, 354, 483, 148, 834, 560, 980, 423, 95, 125, 666, 235, 494, 480, 911, 213, 514, 68, 789, 863, 271, 308, 96, 511, 296, 547, 163, 573, 151, 980, 385, 495, 984, 40, 580, 469, 920, 591, 132, 646, 358, 181, 223, 951, 39, 655, 198, 435, 321, 150, 220, 597, 823, 556, 779, 692, 567, 945, 300, 424, 653, 805, 179, 303, 726, 278, 592, 682, 447, 461, 302, 192, 992, 244, 167, 84, 70, 54, 948, 595, 223, 775, 978, 525, 538, 616, 436, 85, 25, 888, 845, 775, 35, 109, 391, 23, 636, 651, 16, 626, 502, 343, 490, 45, 716, 819, 213, 702, 477, 868, 828, 510, 479, 420, 114, 101, 999, 632, 282, 450, 952, 57, 619, 238, 46, 491, 446, 949, 499, 7, 421, 742, 588, 714, 360, 855, 900, 454, 62, 541, 500, 468, 175, 770, 151, 111, 626, 628, 33, 166, 594, 471, 157, 291, 88, 566, 821, 24, 343, 782, 789, 32, 165, 617, 39, 473, 86, 524, 244, 962, 90, 23, 78, 47, 792, 691, 82, 32, 781, 597, 374, 654, 791, 864, 613, 726, 378, 89, 121, 962, 67, 792, 301, 893, 386, 691, 255, 293, 454, 263, 136, 549, 52, 978, 983, 129, 23, 594, 598, 155, 37, 888, 653, 245, 610, 682, 561, 111, 915, 487, 374, 569, 603, 994, 277, 144, 328, 220, 838, 710, 172, 962, 13, 786, 164, 139, 959, 737, 541, 197, 416, 509, 766, 426, 401, 275, 335, 415, 773, 413, 388, 194, 445, 750, 933, 751, 228, 784, 124, 90, 807, 459, 432, 336, 658, 638, 195, 316, 636, 166, 973, 861, 133, 2, 688, 110, 299, 465, 307, 219, 262, 451, 750, 13, 809, 319, 824, 756, 390, 320, 988, 103, 85, 436, 791, 299, 642, 295, 29, 61, 202, 361, 196, 119, 296, 225, 487, 257, 818, 515, 367, 273, 481, 840, 474, 139, 187, 7, 276, 688, 611, 613, 999, 319, 600, 77, 765, 476, 696, 193, 954, 686, 24, 462, 498, 886, 636, 37, 62, 293, 552, 219, 796, 938, 772, 685, 32, 296, 103, 673, 466, 673, 413, 180, 678, 962, 179, 571, 168, 936, 952, 8, 378, 397, 549, 120, 323, 181, 52, 359, 167, 816, 978, 868, 72, 23, 27, 880, 493, 703, 334, 571, 601, 800, 700, 807, 86, 588, 876, 491, 868, 536, 710, 779, 586, 863, 774, 108, 286, 537, 250, 425, 203, 513, 608, 719, 726, 728, 716, 795, 276, 824, 557, 481, 733, 849, 723, 187, 571, 71, 371, 817, 193, 513, 631, 388, 942, 764, 532, 408, 820, 110, 623, 501, 513, 509, 498, 814, 676, 829, 511, 137, 430, 24, 23, 990, 145, 696, 332, 41, 416, 718, 876, 597, 1, 923, 121, 105, 487, 577, 60, 874, 498, 1, 58, 139, 819, 758, 576, 916, 313, 762, 843, 9, 855, 373, 594, 160, 943, 202, 83, 874, 101, 245, 350, 152, 779, 644, 855, 850, 654, 546, 107, 287, 18, 411, 8, 103, 38, 195, 25, 294, 360, 356, 318, 43, 563, 860, 692, 825, 57, 311, 359, 100, 808, 47, 787, 739, 798, 77, 765, 371, 315, 232, 589, 869, 829, 933, 460, 508, 478, 447, 753, 3, 456, 752, 56, 971, 6, 44, 730, 755, 29, 213, 125, 213, 311, 828, 188, 156, 584, 698, 986, 43, 404, 37, 329, 94, 604, 879, 347, 293, 570, 947, 722, 429, 642, 158, 450, 441, 858, 473, 509, 502, 987, 809, 32, 828, 725, 41, 23, 408, 785, 801, 510, 975, 203, 879, 892, 674, 246, 727, 718, 825, 461, 671, 13, 416, 598, 245, 305, 956, 328, 74, 571, 947, 964, 5, 565, 97, 736, 803, 794, 598, 966, 134, 49, 58, 355, 581, 983, 37, 23, 384, 903, 570, 443, 210, 686, 806, 569, 740, 421, 842, 956, 225, 693, 859, 548, 663, 673, 573, 751, 273, 586, 796, 873, 448, 478, 545, 553, 769, 57, 362, 896, 930, 726, 89, 137, 530, 259, 851, 398, 193, 873, 714, 787, 786, 894, 540, 998, 509, 513, 390, 747, 332, 793, 745, 867, 244, 519, 463, 560, 837, 995, 158, 693, 963, 526, 101, 390, 968, 958, 140, 799, 599, 707, 238, 407, 336, 367, 405, 580, 929, 470, 334, 768, 872, 640, 839, 865, 21, 103, 75, 91, 696, 680, 656, 176, 442, 84, 160, 469, 43, 51, 572, 856, 864, 430, 838, 764, 486, 429, 459, 145, 140, 602, 498, 860, 129, 666, 573, 199, 260, 396, 71, 791, 61, 589, 474, 521, 586, 888, 461, 620, 983, 216, 640, 9, 446, 477, 952, 947, 28, 132, 475, 513, 469, 769, 483, 362, 941, 744, 573, 61, 333, 596, 250, 3, 816, 496, 284, 758, 873, 293, 226, 420, 214, 615, 370, 271, 80, 595, 534, 599, 640, 444, 385, 915, 807, 366, 893, 951, 892, 370, 559, 154, 44, 132, 397, 617, 141, 734, 186, 190, 668, 142, 274, 895, 904, 746, 347, 4, 634, 14, 413, 963, 756, 617, 621, 142, 651, 215, 647, 514, 32, 757, 25, 980, 838, 142, 386, 270, 333, 965, 863, 63, 26, 737, 543, 184, 104, 134, 846, 333, 383, 379, 75, 357, 559, 121, 775, 581, 524, 788, 423, 2, 294, 941, 777, 100, 828, 829, 775, 30, 994, 706, 632, 250, 770, 794, 520, 631, 360, 198, 333, 357, 173, 673, 126, 441, 590, 657, 689, 86, 927, 541, 673, 717, 251, 905, 872, 179, 175, 987, 192, 170, 545, 679, 14, 50, 321, 567, 233, 815, 821, 145, 948, 560, 686, 597, 971, 63, 355, 975, 987, 255, 382, 659, 747, 624, 910, 932, 366, 692, 132, 211, 565, 965, 345, 198, 564, 59, 459, 216, 50, 41, 321, 807, 171}

{651, 18, 59, 916, 193, 985, 890, 938, 389, 115, 434, 303, 658, 844, 191, 746, 123, 170, 207, 428, 775, 69, 921, 424, 661, 596, 46, 632, 1, 838, 393, 149, 381, 576, 183, 366, 648, 101, 482, 257, 193, 213, 584, 635, 291, 666, 820, 653, 419, 397, 435, 732, 847, 502, 326, 884, 286, 193, 533, 921, 214, 81, 170, 734, 557, 7, 664, 690, 997, 367, 461, 290, 582, 769, 436, 223, 465, 891, 857, 840, 251, 65, 100, 736, 522, 503, 10, 413, 558, 512, 136, 39, 73, 621, 593, 165, 394, 551, 711, 562, 692, 583, 553, 82, 487, 920, 457, 233, 136, 254, 157, 797, 595, 317, 406, 42, 484, 242, 69, 761, 630, 716, 208, 340, 623, 474, 558, 396, 420, 339, 3, 393, 544, 463, 608, 734, 470, 205, 659, 18, 657, 591, 273, 571, 15, 635, 152, 571, 422, 560, 824, 541, 328, 167, 50, 447, 683, 138, 999, 864, 702, 136, 651, 662, 288, 837, 773, 140, 882, 520, 774, 699, 869, 174, 168, 333, 162, 989, 953, 381, 319, 436, 314, 824, 414, 465, 752, 272, 638, 541, 894, 744, 67, 286, 849, 401, 74, 272, 307, 586, 158, 833, 803, 127, 374, 66, 601, 420, 181, 466, 721, 868, 759, 933, 915, 255, 36, 22, 964, 696, 926, 443, 696, 621, 746, 27, 596, 512, 655, 959, 206, 656, 639, 294, 573, 400, 242, 193, 995, 382, 845, 814, 947, 323, 520, 325, 659, 151, 864, 607, 828, 155, 24, 678, 689, 991, 331, 282, 984, 967, 423, 168, 163, 541, 242, 86, 51, 989, 3, 659, 658, 893, 301, 706, 435, 584, 50, 366, 894, 722, 460, 184, 929, 916, 246, 53, 195, 327, 721, 799, 244, 587, 194, 454, 21, 535, 899, 811, 141, 861, 144, 636, 893, 502, 315, 765, 14, 750, 280, 528, 493, 629, 568, 692, 122, 422, 169, 810, 532, 218, 377, 553, 659, 252, 356, 990, 93, 205, 135, 119, 922, 537, 726, 667, 829, 933, 308, 336, 854, 370, 556, 393, 585, 648, 259, 237, 922, 839, 269, 85, 330, 105, 140, 823, 400, 559, 63, 287, 788, 739, 443, 111, 27, 946, 822, 937, 823, 717, 272, 602, 889, 911, 661, 761, 652, 129, 759, 478, 182, 451, 458, 846, 358, 112, 746, 182, 452, 999, 938, 977, 334, 61, 876, 666, 902, 625, 440, 98, 151, 761, 144, 437, 89, 572, 78, 670, 547, 313, 92, 412, 940, 756, 864, 457, 191, 10, 733, 709, 550, 915, 869, 270, 912, 346, 390, 791, 477, 350, 811, 923, 896, 273, 391, 698, 338, 987, 220, 574, 314, 385, 0, 638, 578, 441, 380, 339, 672, 42, 476, 451, 974, 277, 31, 993, 148, 123, 430, 394, 106, 737, 118, 220, 77, 629, 545, 905, 557, 767, 905, 283, 835, 381, 331, 893, 407, 288, 260, 716, 84, 908, 500, 610, 827, 897, 735, 223, 372, 82, 204, 851, 121, 343, 42, 590, 869, 548, 251, 352, 248, 133, 402, 444, 800, 799, 211, 931, 317, 993, 61, 633, 848, 618, 204, 623, 816, 887, 799, 806, 848, 700, 81, 846, 701, 35, 319, 993, 492, 394, 829, 240, 87, 986, 515, 527, 892, 726, 99, 994, 383, 508, 82, 202, 767, 313, 988, 835, 512, 489, 728, 431, 119, 228, 406, 344, 522, 917, 661, 498, 804, 273, 913, 551, 193, 382, 106, 303, 617, 191, 220, 201, 931, 315, 449, 100, 757, 195, 35, 333, 832, 664, 872, 239, 9, 353, 182, 348, 748, 823, 26, 156, 916, 911, 293, 107, 353, 491, 451, 524, 150, 866, 156, 474, 506, 27, 334, 533, 165, 56, 792, 837, 195, 95, 702, 367, 726, 409, 624, 894, 654, 673, 260, 29, 557, 238, 397, 137, 188, 760, 957, 99, 261, 612, 703, 695, 576, 647, 449, 421, 416, 216, 682, 377, 842, 351, 165, 471, 145, 114, 892, 975, 497, 316, 816, 30, 377, 361, 726, 855, 439, 473, 950, 225, 268, 492, 394, 562, 871, 876, 301, 611, 673, 671, 303, 870, 329, 332, 193, 198, 214, 770, 285, 198, 293, 690, 924, 155, 471, 627, 52, 197, 425, 623, 143, 309, 336, 576, 711, 838, 8, 739, 861, 703, 659, 46, 648, 142, 566, 981, 557, 412, 221, 277, 56, 877, 469, 706, 245, 876, 504, 974, 874, 191, 395, 732, 37, 790, 103, 105, 467, 346, 419, 811, 558, 509, 589, 840, 767, 947, 184, 175, 842, 698, 114, 634, 731, 95, 413, 918, 347, 310, 517, 69, 630, 95, 392, 672, 378, 594, 874, 985, 307, 725, 939, 497, 797, 112, 120, 778, 412, 856, 300, 316, 77, 861, 777, 662, 488, 778, 968, 38, 278, 688, 695, 543, 455, 546, 810, 904, 206, 865, 360, 125, 855, 310, 10, 401, 241, 509, 217, 122, 503, 554, 54, 587, 50, 991, 96, 408, 917, 794, 565, 954, 733, 136, 442, 631, 439, 199, 455, 941, 156, 985, 484, 635, 253, 145, 760, 944, 985, 330, 136, 350, 640, 577, 679, 902, 434, 352, 457, 934, 447, 742, 49, 132, 697, 888, 316, 849, 845, 77, 414, 705, 769, 560, 620, 61, 630, 866, 286, 31, 157, 799, 698, 990, 510, 450, 536, 472, 91, 740, 358, 431, 604, 496, 742, 989, 805, 314, 665, 267, 344, 205, 993, 999, 416, 892, 559, 329, 870, 310, 384, 728, 904, 243, 767, 875, 875, 476, 495, 557, 416, 438, 888, 970, 227, 397, 783, 817, 85, 395, 505, 967, 653, 28, 562, 7, 592, 450, 287, 843, 142, 830, 375, 149, 630, 970, 530, 400, 134, 928, 326, 788, 235, 514, 266, 169, 259, 289, 591, 86, 991, 722, 465, 801, 732, 519, 961, 603, 861, 317, 579, 570, 869, 43, 915, 604, 946, 219, 491, 728, 768, 547, 203, 399, 909, 807, 653, 340, 146, 266, 235, 987, 651, 361, 135, 285, 893, 322, 403, 331, 332, 426, 948, 908, 124, 850, 9, 267, 969, 471, 220, 300, 945, 551, 808, 744, 247, 525, 643, 315}

Returns: 13
{256, 695, 30, 350, 117, 295, 555, 275, 413, 194, 793, 304, 644, 641, 566, 645, 460, 599, 274, 430, 659, 769, 258, 369, 732, 240, 671, 305, 60, 671, 71, 85, 219, 393, 363, 366, 608, 802, 535, 903, 917, 687, 82, 547, 962, 587, 137, 191, 44, 802, 425, 232, 878, 739, 899, 828, 462, 865, 855, 599, 674, 635, 325, 418, 36, 763, 472, 975, 391, 221, 307, 330, 289, 306, 932, 441, 775, 742, 496, 89, 26, 55, 570, 741, 888, 786, 170, 254, 480, 60, 878, 482, 131, 586, 238, 390, 381, 432, 982, 575, 363, 668, 13, 17, 849, 281, 365, 14, 105, 593, 651, 930, 371, 761, 734, 303, 386, 156, 208, 979, 228, 330, 27, 435, 729, 342, 830, 884, 70, 118, 181, 201, 479, 553, 415, 604, 90, 77, 772, 561, 745, 463, 158, 958, 526, 663, 450, 303, 170, 954, 738, 531, 462, 377, 780, 81, 482, 564, 741, 438, 736, 558, 5, 843, 877, 579, 953, 970, 259, 841, 624, 973, 955, 333, 847, 428, 105, 926, 869, 350, 854, 661, 597, 905, 14, 922, 121, 574, 378, 741, 899, 94, 251, 999, 229, 555, 843, 287, 79, 253, 117, 203, 944, 3, 147, 0, 553, 55, 918, 153, 628, 979, 243, 605, 14, 917, 982, 247, 309, 587, 869, 896, 190, 898, 473, 7, 743, 620, 851, 850, 143, 893, 610, 201, 396, 999, 725, 56, 831, 505, 444, 985, 377, 715, 933, 147, 476, 871, 408, 363, 486, 418, 466, 58, 409, 512, 215, 379, 967, 940, 457, 959, 332, 644, 160, 574, 246, 159, 827, 368, 996, 878, 457, 516, 339, 735, 709, 22, 779, 214, 715, 492, 633, 906, 147, 368, 482, 749, 832, 621, 704, 540, 680, 62, 589, 752, 164, 174, 425, 687, 166, 433, 475, 408, 142, 565, 607, 554, 226, 858, 694, 302, 264, 380, 352, 828, 608, 724, 484, 446, 434, 214, 262, 222, 17, 841, 770, 98, 118, 497, 120, 390, 263, 17, 828, 575, 570, 752, 324, 587, 441, 350, 268, 248, 542, 976, 147, 629, 163, 586, 804, 769, 489, 574, 353, 690, 840, 109, 342, 567, 721, 668, 929, 797, 986, 382, 774, 160, 963, 217, 479, 717, 157, 412, 518, 814, 342, 548, 781, 446, 560, 970, 973, 479, 401, 235, 533, 730, 185, 402, 456, 93, 629, 705, 189, 374, 484, 664, 135, 214, 936, 214, 491, 43, 97, 976, 619, 57, 262, 901, 645, 758, 990, 605, 844, 815, 724, 918, 313, 65, 679, 769, 762, 167, 100, 170, 721, 161, 593, 932, 850, 159, 894, 298, 786, 25, 252, 758, 358, 817, 894, 387, 341, 564, 958, 11, 936, 427, 33, 659, 331, 52, 448, 371, 858, 506, 760, 484, 770, 224, 208, 53, 187, 938, 595, 836, 924, 431, 136, 997, 886, 534, 138, 351, 165, 143, 750, 460, 277, 521, 773, 179, 962, 48, 342, 651, 518, 518, 806, 334, 717, 329, 291, 556, 237, 820, 860, 17, 380, 887, 703, 659, 602, 940, 79, 609, 108, 814, 468, 234, 687, 257, 190, 861, 86, 213, 517, 762, 134, 309, 161, 232, 893, 251, 839, 870, 384, 256, 325, 548, 147, 701, 345, 741, 204, 76, 12, 747, 491, 86, 838, 703, 141, 956, 865, 983, 871, 271, 626, 423, 999, 265, 622, 82, 370, 130, 804, 547, 316, 620, 585, 836, 818, 646, 20, 269, 649, 489, 68, 844, 864, 509, 467, 46, 567, 300, 696, 427, 518, 452, 907, 15, 10, 890, 696, 439, 627, 537, 388, 369, 684, 41, 437, 518, 775, 786, 90, 517, 300, 568, 713, 390, 695, 739, 249, 767, 373, 292, 677, 793, 189, 687, 256, 14, 607, 708, 702, 295, 389, 660, 703, 125, 669, 380, 443, 437, 726, 573, 166, 240, 176, 274, 80, 352, 470, 53, 250, 870, 624, 593, 796, 564, 626, 557, 312, 130, 668, 48, 28, 59, 960, 908, 500, 234, 291, 559, 521, 202, 202, 364, 74, 201, 731, 588, 22, 460, 858, 419, 355, 237, 182, 617, 317, 206, 551, 467, 659, 407, 721, 2, 384, 108, 561, 189, 245, 118, 812, 500, 440, 890, 115, 223, 522, 530, 332, 515, 238, 228, 207, 565, 905, 451, 584, 205, 336, 784, 981, 402, 361, 545, 327, 817, 465, 971, 176, 779, 950, 933, 489, 680, 209, 612, 944, 501, 91, 724, 97, 57, 575, 873, 60, 480, 634, 728, 512, 886, 520, 185, 782, 284, 975, 428, 81, 53, 429, 151, 888, 877, 539, 860, 602, 433, 835, 547, 858, 616, 925, 969, 107, 934, 171, 466, 840, 468, 629, 913, 299, 929, 309, 345, 477, 996, 613, 548, 449, 630, 991, 405, 511, 212, 705, 986, 517, 172, 818, 139, 978, 983, 911, 514, 739, 452, 101, 75, 438, 434, 660, 333, 324, 556, 18, 390, 27, 414, 772, 592, 840, 676, 299, 785, 456, 920, 584, 268, 132, 254, 945, 635, 726, 616, 846, 906, 200, 851, 333, 397, 832, 934, 293, 180, 29, 238, 660, 759, 136, 611, 137, 764, 838, 631, 571, 753, 625, 602, 844, 625, 518, 505, 639, 827, 742, 755, 340, 970, 287, 785, 91, 389, 394, 798, 141, 287, 232, 997, 307, 681, 368, 551, 980, 555, 488, 19, 712, 698, 185, 780, 810, 825, 935, 786, 997, 470, 760, 177, 270, 797, 96, 775, 948, 346, 754, 771, 657, 549, 355, 838, 571, 847, 832, 819, 77, 948, 834, 6, 665, 798, 702, 538, 329, 648, 582, 592, 398, 143, 358, 416, 669, 855, 581, 633, 20, 24, 595, 904, 770, 397, 179, 244, 377, 705, 527, 156, 774, 199, 190, 540, 176, 492, 558, 224, 467, 508, 520, 824, 834, 699, 719, 697, 300, 454, 623, 48, 220, 111, 751, 354, 42, 387, 60, 833, 288, 928, 466, 983, 191, 719, 381, 412, 434, 925, 246, 161, 287, 854, 987, 399, 308, 120, 377, 161, 642, 681, 344, 323, 271, 668, 238, 695, 795, 586, 333, 457, 740, 956, 629, 953, 165, 718, 63, 158}

{691, 896, 991, 279, 404, 70, 150, 628, 240, 715, 864, 941, 197, 130, 975, 962, 29, 934, 11, 55, 970, 998, 959, 526, 201, 107, 326, 718, 183, 448, 942, 606, 440, 656, 550, 905, 673, 721, 282, 250, 790, 812, 387, 108, 61, 518, 614, 326, 775, 291, 362, 101, 415, 404, 610, 125, 337, 354, 950, 358, 121, 230, 846, 435, 471, 150, 1, 374, 106, 818, 474, 227, 604, 303, 839, 264, 560, 495, 187, 406, 597, 586, 63, 562, 495, 659, 905, 389, 161, 581, 581, 783, 654, 891, 203, 639, 20, 595, 553, 952, 292, 371, 626, 446, 742, 788, 886, 877, 932, 130, 584, 515, 498, 118, 617, 254, 221, 87, 885, 376, 945, 197, 596, 678, 870, 839, 495, 215, 315, 351, 556, 88, 814, 114, 572, 177, 663, 888, 119, 46, 260, 976, 103, 655, 641, 760, 929, 716, 175, 495, 839, 922, 953, 698, 553, 462, 375, 799, 902, 277, 119, 897, 308, 896, 874, 172, 696, 469, 26, 920, 943, 496, 918, 860, 786, 543, 584, 871, 102, 869, 725, 962, 508, 440, 175, 595, 416, 385, 829, 144, 496, 913, 862, 850, 644, 672, 162, 730, 220, 836, 454, 340, 757, 936, 108, 361, 32, 856, 325, 752, 239, 470, 330, 874, 165, 10, 943, 146, 256, 270, 6, 859, 101, 325, 268, 420, 968, 541, 502, 931, 240, 756, 307, 234, 637, 4, 974, 649, 326, 66, 829, 260, 778, 266, 906, 180, 415, 252, 127, 182, 733, 581, 623, 245, 854, 217, 768, 550, 802, 469, 754, 128, 185, 431, 173, 957, 111, 846, 994, 517, 421, 747, 814, 803, 576, 544, 60, 497, 248, 579, 44, 481, 310, 793, 760, 215, 539, 772, 521, 886, 75, 189, 45, 929, 894, 967, 873, 565, 464, 772, 323, 482, 554, 93, 149, 554, 700, 149, 203, 525, 207, 775, 769, 187, 45, 593, 625, 505, 899, 693, 703, 875, 359, 293, 156, 230, 425, 271, 473, 484, 151, 877, 538, 248, 635, 380, 593, 223, 341, 218, 688, 347, 357, 411, 431, 779, 186, 776, 716, 703, 527, 360, 276, 329, 218, 93, 403, 42, 797, 312, 986, 81, 356, 344, 791, 447, 987, 223, 272, 590, 578, 652, 480, 475, 115, 447, 141, 45, 428, 275, 589, 327, 666, 740, 464, 626, 778, 139, 794, 3, 7, 324, 266, 686, 908, 711, 293, 15, 550, 863, 67, 661, 352, 598, 430, 339, 304, 990, 117, 748, 230, 277, 733, 78, 43, 940, 221, 273, 660, 528, 890, 858, 175, 78, 757, 579, 494, 280, 508, 775, 185, 810, 245, 739, 79, 838, 721, 327, 269, 754, 461, 146, 932, 373, 917, 570, 831, 270, 872, 250, 610, 389, 601, 116, 277, 475, 541, 799, 101, 367, 927, 872, 822, 561, 612, 543, 649, 700, 535, 962, 13, 909, 607, 650, 128, 574, 755, 113, 602, 538, 334, 158, 457, 83, 137, 100, 767, 957, 765, 919, 378, 750, 56, 195, 474, 667, 263, 472, 169, 406, 538, 10, 891, 481, 234, 340, 817, 219, 967, 763, 982, 444, 111, 746, 551, 588, 552, 703, 261, 204, 86, 879, 18, 904, 752, 415, 175, 967, 884, 553, 240, 346, 460, 608, 613, 575, 655, 826, 10, 457, 347, 720, 292, 973, 504, 936, 786, 44, 331, 972, 252, 160, 101, 789, 873, 909, 237, 942, 35, 469, 850, 555, 585, 603, 15, 812, 712, 166, 467, 795, 987, 800, 610, 547, 70, 15, 443, 472, 429, 631, 156, 492, 403, 737, 25, 16, 704, 222, 871, 976, 717, 798, 532, 7, 566, 193, 601, 314, 451, 431, 42, 161, 384, 618, 634, 416, 406, 355, 742, 206, 602, 506, 35, 963, 386, 963, 279, 492, 210, 137, 882, 216, 94, 941, 590, 436, 381, 284, 249, 859, 615, 551, 301, 51, 831, 724, 647, 883, 927, 4, 237, 287, 427, 538, 525, 915, 501, 957, 519, 318, 859, 945, 697, 147, 780, 22, 266, 577, 617, 353, 347, 514, 672, 977, 119, 777, 413, 672, 102, 160, 215, 714, 862, 233, 810, 710, 298, 682, 96, 441, 891, 665, 740, 376, 248, 711, 801, 611, 113, 729, 884, 886, 171, 559, 529, 428, 395, 965, 720, 54, 820, 112, 751, 514, 483, 223, 234, 601, 194, 444, 220, 838, 670, 592, 43, 478, 187, 518, 294, 331, 808, 375, 225, 70, 338, 519, 832, 0, 946, 990, 515, 895, 275, 609, 231, 625, 571, 312, 581, 13, 144, 73, 58, 438, 288, 592, 385, 658, 482, 49, 815, 686, 88, 896, 863, 493, 46, 662, 470, 727, 772, 103, 223, 475, 712, 448, 922, 204, 998, 704, 486, 519, 672, 821, 604, 89, 860, 22, 808, 887, 810, 559, 986, 877, 697, 168, 5, 302, 294, 281, 78, 667, 592, 82, 147, 205, 293, 92, 325, 451, 217, 935, 454, 907, 267, 113, 429, 337, 818, 224, 45, 791, 277, 855, 401, 717, 48, 114, 183, 103, 507, 935, 39, 838, 576, 248, 169, 323, 796, 673, 300, 795, 849, 264, 137, 182, 928, 655, 29, 606, 554, 394, 26, 871, 853, 422, 583, 34, 930, 448, 305, 776, 495, 439, 964, 234, 756, 942, 207, 343, 214, 186, 765, 906, 304, 844, 235, 446, 177, 908, 831, 364, 773, 31, 414, 455, 797, 544, 284, 761, 798, 983, 131, 936, 805, 288, 763, 690, 827, 751, 265, 58, 800, 866, 918, 363, 762, 312, 453, 578, 586, 383, 523, 905, 282, 975, 873, 267, 104, 993, 751, 959, 359, 496, 171, 277, 398, 884, 214, 144, 125, 559, 746, 883, 857, 782, 448, 513, 938, 762, 764, 759, 297, 248, 27, 569, 493, 927, 221, 831, 930, 781, 613, 943, 81, 484, 866, 440, 689, 961, 724, 535, 433, 938, 212, 227, 639, 168, 813, 312, 137, 209, 679, 406, 308, 452, 814, 313, 511, 686, 767, 934, 744, 757, 568, 476, 191, 637, 930, 268, 545, 218, 749, 754, 856, 137, 151, 934, 986, 681, 674, 302, 401, 79, 182, 886, 548, 173, 128, 367}

Returns: 14
{227, 719, 170, 152, 546, 762, 853, 228, 96, 450, 456, 396, 349, 849, 495, 880, 181, 257, 543, 67, 990, 779, 367, 109, 21, 750, 117, 277, 791, 451, 675, 449, 258, 321, 181, 422, 941, 371, 400, 730, 605, 497, 122, 964, 427, 703, 762, 521, 619, 248, 455, 599, 718, 599, 723, 598, 401, 678, 267, 328, 454, 504, 166, 916, 135, 296, 142, 70, 591, 648, 149, 999, 391, 519, 747, 516, 593, 618, 354, 181, 138, 91, 434, 47, 715, 944, 762, 894, 951, 399, 371, 453, 440, 427, 204, 701, 8, 365, 337, 962, 531, 748, 445, 284, 447, 679, 419, 65, 307, 360, 786, 130, 271, 596, 472, 223, 340, 329, 65, 886, 514, 951, 421, 856, 573, 981, 817, 231, 260, 119, 45, 829, 824, 584, 300, 36, 128, 555, 9, 674, 943, 678, 555, 196, 42, 927, 983, 16, 175, 750, 947, 878, 951, 640, 399, 916, 830, 184, 306, 169, 316, 706, 240, 958, 192, 765, 634, 856, 158, 669, 354, 939, 616, 985, 733, 248, 920, 852, 607, 235, 996, 7, 519, 232, 453, 58, 86, 846, 142, 794, 312, 268, 916, 399, 210, 43, 530, 321, 62, 845, 600, 221, 672, 535, 231, 942, 885, 662, 971, 801, 489, 680, 704, 736, 485, 66, 478, 444, 807, 838, 0, 117, 795, 401, 491, 335, 584, 942, 476, 115, 666, 559, 665, 582, 362, 796, 346, 377, 847, 785, 21, 734, 813, 48, 7, 595, 537, 943, 175, 243, 534, 829, 192, 682, 46, 764, 481, 752, 737, 172, 212, 704, 644, 922, 687, 409, 830, 653, 838, 177, 425, 95, 91, 983, 424, 479, 376, 344, 560, 969, 642, 152, 129, 891, 866, 492, 652, 809, 98, 264, 617, 719, 624, 824, 239, 22, 621, 100, 506, 130, 765, 526, 133, 645, 842, 454, 44, 835, 234, 652, 284, 274, 769, 327, 11, 934, 937, 906, 888, 155, 640, 301, 375, 929, 816, 638, 842, 174, 607, 46, 996, 963, 837, 188, 708, 457, 429, 175, 590, 964, 546, 315, 725, 966, 449, 544, 691, 466, 259, 589, 835, 178, 367, 524, 784, 264, 562, 870, 890, 705, 773, 725, 514, 861, 502, 718, 231, 996, 525, 908, 220, 870, 649, 195, 551, 607, 837, 176, 700, 823, 638, 916, 575, 836, 420, 729, 908, 787, 670, 165, 201, 628, 862, 723, 708, 376, 455, 291, 108, 447, 468, 856, 998, 613, 685, 459, 939, 220, 655, 635, 967, 219, 925, 596, 338, 631, 647, 236, 193, 217, 627, 943, 962, 367, 259, 990, 979, 633, 781, 485, 581, 393, 427, 361, 598, 915, 102, 914, 859, 825, 922, 916, 129, 645, 20, 265, 548, 609, 178, 894, 974, 998, 829, 616, 523, 585, 268, 345, 605, 109, 126, 505, 225, 567, 880, 898, 538, 660, 941, 662, 225, 79, 820, 692, 849, 115, 480, 4, 505, 600, 751, 998, 614, 361, 649, 986, 752, 302, 124, 205, 28, 595, 621, 671, 185, 624, 829, 766, 685, 697, 665, 690, 306, 836, 287, 697, 396, 472, 19, 270, 955, 303, 724, 870, 938, 237, 759, 729, 931, 734, 535, 815, 401, 716, 850, 354, 237, 682, 294, 175, 739, 599, 791, 664, 472, 212, 319, 750, 536, 36, 49, 315, 394, 323, 759, 33, 777, 147, 933, 951, 834, 129, 443, 238, 196, 418, 531, 795, 378, 205, 96, 255, 679, 683, 653, 334, 708, 240, 831, 653, 909, 344, 489, 741, 865, 572, 960, 312, 30, 547, 387, 989, 643, 129, 227, 376, 300, 318, 171, 826, 182, 724, 476, 984, 0, 853, 925, 641, 485, 688, 938, 668, 114, 344, 661, 706, 639, 855, 855, 974, 875, 284, 879, 279, 296, 246, 17, 957, 475, 994, 417, 822, 93, 459, 607, 411, 411, 479, 424, 28, 985, 507, 318, 723, 392, 478, 470, 948, 785, 69, 160, 760, 854, 70, 645, 246, 337, 169, 875, 453, 474, 345, 616, 599, 152, 794, 745, 479, 359, 361, 968, 133, 253, 700, 429, 541, 10, 321, 753, 385, 77, 169, 659, 467, 961, 753, 383, 854, 299, 576, 317, 864, 288, 594, 506, 897, 422, 432, 191, 909, 965, 442, 989, 543, 728, 129, 9, 216, 85, 282, 867, 458, 605, 224, 782, 34, 499, 764, 805, 710, 515, 665, 751, 173, 183, 857, 752, 836, 237, 234, 348, 463, 250, 462, 154, 7, 579, 396, 349, 193, 521, 699, 798, 862, 353, 113, 795, 57, 687, 57, 373, 872, 899, 601, 197, 296, 430, 873, 636, 236, 472, 684, 839, 686, 338, 651, 846, 719, 293, 712, 63, 108, 119, 649, 178, 750, 957, 267, 356, 12, 846, 927, 236, 795, 104, 678, 837, 296, 648, 844, 520, 575, 105, 985, 436, 923, 589, 70, 631, 402, 489, 115, 515, 609, 858, 641, 660, 303, 972, 195, 872, 896, 849, 29, 155, 740, 327, 990, 579, 802, 491, 399, 398, 557, 954, 4, 519, 450, 310, 483, 219, 394, 783, 784, 623, 78, 449, 416, 155, 642, 803, 285, 281, 475, 577, 662, 363, 198, 371, 411, 267, 934, 12, 709, 616, 203, 47, 623, 573, 778, 379, 343, 27, 303, 288, 106, 196, 559, 670, 431, 639, 620, 188, 833, 642, 384, 212, 561, 421, 98, 206, 499, 208, 162, 718, 912, 249, 181, 412, 291, 682, 48, 442, 784, 143, 525, 124, 674, 799, 833, 289, 286, 618, 470, 398, 256, 275, 857, 747, 247, 314, 794, 812, 242, 477, 718, 276, 345, 319, 840, 106, 628, 228, 577, 620, 461, 110, 532, 8, 74, 439, 188, 256, 713, 867, 133, 749, 135, 930, 735, 195, 149, 89, 550, 679, 574, 923, 841, 903, 168, 653, 76, 121, 369, 541, 559, 300, 961, 550, 190, 164, 979, 447, 16, 259, 537, 484, 763, 333, 162, 305, 309, 165, 756, 126, 622, 96, 911, 92, 951, 354, 441, 948, 503, 643, 84, 6, 489, 423, 265, 965, 113, 322, 170, 660, 963, 362, 777, 926, 281, 229, 475, 794, 198, 384, 772, 685, 228, 311, 130}

{395, 249, 166, 612, 946, 882, 51, 316, 538, 154, 384, 728, 3, 113, 693, 204, 11, 237, 255, 367, 754, 125, 341, 293, 343, 370, 775, 785, 987, 771, 677, 543, 670, 45, 231, 56, 965, 315, 248, 302, 285, 475, 956, 26, 749, 303, 976, 999, 139, 996, 575, 817, 602, 561, 203, 976, 603, 264, 275, 900, 608, 162, 722, 860, 639, 646, 88, 534, 101, 732, 239, 529, 211, 257, 329, 634, 47, 626, 922, 699, 92, 447, 246, 701, 395, 492, 938, 532, 539, 495, 37, 423, 326, 419, 426, 223, 416, 359, 843, 136, 607, 108, 477, 190, 151, 409, 761, 679, 575, 970, 56, 578, 667, 6, 2, 425, 152, 897, 985, 692, 630, 203, 585, 430, 221, 417, 239, 445, 936, 111, 21, 561, 512, 820, 498, 668, 582, 621, 391, 90, 693, 384, 583, 578, 594, 393, 57, 526, 433, 754, 283, 14, 149, 362, 249, 880, 372, 252, 90, 597, 206, 790, 494, 112, 820, 499, 12, 76, 128, 321, 16, 783, 88, 635, 801, 730, 994, 154, 739, 233, 922, 993, 15, 720, 711, 560, 76, 764, 566, 648, 684, 412, 964, 379, 234, 343, 224, 135, 50, 167, 0, 287, 396, 157, 401, 570, 797, 192, 445, 757, 817, 522, 912, 288, 969, 234, 638, 156, 109, 16, 912, 283, 217, 807, 603, 575, 716, 146, 424, 467, 48, 375, 803, 912, 136, 200, 610, 441, 367, 957, 687, 854, 799, 208, 669, 613, 991, 51, 269, 403, 286, 183, 310, 670, 284, 928, 921, 10, 937, 312, 804, 364, 950, 596, 83, 285, 700, 219, 906, 165, 971, 181, 219, 295, 464, 735, 128, 712, 328, 593, 584, 22, 717, 225, 20, 684, 338, 711, 586, 726, 981, 921, 722, 644, 635, 736, 779, 150, 394, 644, 3, 64, 283, 75, 836, 384, 936, 843, 108, 608, 624, 942, 627, 131, 801, 698, 59, 414, 552, 301, 292, 649, 81, 805, 32, 984, 438, 458, 733, 264, 26, 673, 177, 510, 896, 527, 557, 419, 302, 464, 208, 785, 81, 386, 499, 500, 765, 112, 429, 645, 949, 902, 521, 340, 180, 824, 126, 542, 602, 723, 689, 51, 428, 285, 918, 258, 431, 798, 985, 466, 226, 606, 885, 227, 967, 151, 19, 604, 636, 749, 788, 162, 785, 212, 566, 195, 906, 197, 988, 433, 735, 712, 186, 459, 148, 710, 961, 805, 458, 449, 124, 540, 420, 245, 601, 363, 71, 706, 225, 379, 825, 797, 545, 744, 452, 347, 597, 340, 477, 567, 907, 227, 186, 761, 231, 482, 421, 761, 729, 707, 761, 633, 231, 27, 458, 771, 314, 754, 359, 439, 426, 312, 605, 175, 332, 41, 686, 677, 558, 776, 232, 950, 633, 744, 245, 275, 328, 683, 393, 673, 722, 199, 151, 543, 98, 402, 816, 910, 559, 754, 767, 63, 522, 612, 477, 429, 762, 112, 163, 790, 293, 68, 474, 95, 833, 610, 244, 818, 116, 409, 244, 559, 95, 597, 459, 48, 985, 564, 921, 601, 327, 598, 704, 648, 911, 467, 172, 428, 949, 350, 329, 489, 434, 190, 508, 675, 137, 215, 475, 686, 151, 451, 273, 402, 40, 594, 99, 384, 186, 557, 179, 831, 93, 412, 444, 324, 281, 472, 318, 70, 873, 305, 100, 541, 163, 211, 283, 673, 713, 281, 982, 875, 141, 302, 714, 544, 55, 577, 52, 983, 838, 781, 631, 755, 451, 228, 466, 454, 925, 457, 631, 236, 591, 785, 185, 228, 416, 510, 538, 445, 577, 3, 535, 133, 639, 482, 764, 950, 583, 470, 742, 448, 512, 590, 988, 67, 939, 469, 33, 516, 652, 198, 98, 986, 317, 480, 817, 185, 561, 784, 305, 582, 705, 801, 358, 92, 37, 243, 675, 474, 165, 636, 869, 831, 729, 447, 961, 443, 376, 198, 325, 143, 238, 281, 908, 444, 56, 618, 473, 997, 366, 930, 184, 174, 887, 26, 13, 433, 267, 905, 826, 207, 430, 171, 556, 434, 205, 803, 939, 509, 310, 973, 563, 864, 823, 677, 902, 549, 255, 315, 315, 719, 317, 17, 949, 53, 627, 884, 477, 762, 275, 476, 586, 588, 934, 561, 410, 582, 497, 565, 735, 620, 795, 377, 984, 571, 999, 784, 245, 994, 729, 172, 653, 58, 892, 796, 309, 468, 603, 670, 127, 667, 883, 185, 423, 831, 68, 48, 955, 782, 488, 219, 418, 408, 168, 349, 491, 252, 917, 355, 469, 207, 56, 934, 11, 431, 831, 801, 581, 873, 325, 326, 111, 503, 31, 214, 812, 355, 92, 18, 718, 764, 337, 626, 916, 637, 884, 99, 409, 58, 605, 902, 99, 759, 498, 348, 183, 615, 546, 234, 168, 519, 382, 807, 870, 650, 317, 130, 570, 682, 276, 951, 893, 395, 860, 441, 477, 96, 471, 428, 847, 959, 179, 265, 318, 967, 186, 795, 268, 359, 656, 348, 555, 379, 993, 568, 351, 774, 513, 800, 911, 101, 38, 873, 92, 190, 507, 288, 70, 569, 371, 348, 517, 912, 443, 726, 699, 272, 755, 48, 923, 475, 535, 531, 783, 246, 751, 302, 467, 791, 101, 876, 300, 329, 212, 477, 139, 13, 881, 592, 805, 805, 557, 819, 658, 580, 738, 3, 468, 927, 557, 924, 862, 259, 646, 672, 652, 761, 623, 400, 158, 717, 980, 242, 408, 60, 291, 895, 928, 489, 752, 980, 4, 658, 869, 801, 462, 942, 457, 739, 315, 276, 440, 480, 142, 138, 577, 425, 471, 845, 150, 702, 696, 998, 525, 710, 924, 109, 599, 750, 8, 416, 216, 59, 424, 467, 674, 416, 846, 174, 777, 986, 74, 971, 923, 243, 629, 73, 672, 129, 155, 207, 457, 276, 627, 218, 977, 269, 827, 306, 527, 836, 271, 397, 891, 545, 958, 637, 856, 348, 546, 399, 363, 688, 311, 571, 886, 551, 445, 286, 471, 685, 395, 796, 912, 612, 476, 679, 398, 133, 520, 605, 504, 347, 871, 942, 16, 779, 599, 729, 317, 161, 336, 206, 964, 589, 446, 99, 70, 821, 805, 219, 186, 538, 0, 248, 359, 706, 443, 370}

Returns: 13
{729, 817, 663, 691, 787, 643, 803, 687, 888, 886, 832, 670, 885, 617, 870, 653, 604, 709, 635, 890, 625, 608, 758, 729, 760, 615, 670, 874, 860, 791, 872, 865, 745, 780, 880, 798, 784, 745, 752, 767, 689, 891, 672, 827, 897, 733, 711, 728, 675, 761, 880, 680, 783, 859, 626, 730, 789, 672, 678, 831, 691, 772, 765, 655, 867, 674, 758, 676, 610, 872, 835, 748, 879, 748, 817, 668, 609, 804, 743, 740, 864, 743, 779, 797, 739, 787, 723, 875, 866, 778, 608, 711, 630, 685, 697, 813, 705, 794, 763, 701, 641, 616, 796, 624, 667, 738, 663, 691, 699, 673, 758, 712, 661, 783, 839, 868, 850, 732, 738, 704, 696, 842, 647, 897, 696, 603, 627, 739, 625, 696, 819, 653, 805, 852, 652, 688, 897, 840, 638, 619, 846, 730, 730, 711, 771, 730, 784, 844, 655, 701, 855, 681, 804, 858, 617, 831, 766, 775, 707, 834, 647, 775, 728, 824, 627, 811, 612, 870, 718, 665, 723, 691, 754, 847, 667, 694, 844, 714, 802, 846, 886, 828, 740, 652, 696, 638, 617, 775, 744, 717, 790, 751, 695, 821, 882, 637, 698, 748, 692, 737, 895, 800, 809, 870, 707, 738, 639, 782, 881, 632, 808, 838, 761, 645, 832, 874, 626, 739, 898, 820, 673, 701, 661, 615, 675, 616, 718, 849, 755, 617, 743, 844, 827, 731, 648, 636, 743, 745, 813, 737, 743, 859, 608, 676, 895, 641, 749, 673, 605, 850, 842, 607, 646, 755, 761, 761, 746, 830, 641, 622, 777, 790, 848, 653, 815, 747, 787, 812, 821, 758, 801, 854, 847, 853, 765, 872, 740, 723, 655, 882, 740, 779, 826, 845, 812, 754, 716, 721, 785, 742, 733, 770, 748, 658, 886, 606, 639, 765, 665, 600, 854, 616, 712, 787, 883, 625, 678, 886, 658, 867, 826, 886, 845, 887, 714, 871, 638, 648, 669, 633, 708, 843, 624, 721, 699, 679, 709, 836, 719, 670, 777, 767, 654, 726, 897, 809, 791, 660, 704, 808, 607, 790, 607, 848, 813, 813, 840, 682, 642, 700, 671, 877, 729, 659, 635, 660, 683, 860, 663, 835, 781, 734, 655, 667, 765, 794, 746, 893, 835, 854, 877, 742, 747, 775, 827, 770, 631, 761, 658, 761, 630, 757, 886, 674, 632, 683, 772, 844, 641, 878, 713, 719, 889, 779, 721, 686, 888, 680, 834, 721, 823, 700, 841, 867, 601, 770, 762, 638, 690, 726, 880, 648, 880, 634, 737, 643, 606, 795, 620, 771, 863, 745, 811, 748, 631, 884, 829, 706, 855, 708, 635, 776, 768, 707, 808, 758, 860, 640, 773, 785, 785, 700, 611, 638, 652, 814, 820, 794, 785, 681, 767, 878, 696, 744, 638, 737, 711, 884, 678, 886, 872, 882, 712, 855, 796, 699, 855, 878, 779, 810}

{422, 458, 439, 178, 268, 450, 137, 67, 488, 90, 21, 88, 462, 441, 47, 385, 346, 72, 152, 28, 416, 49, 446, 383, 14, 3, 296, 373, 30, 475, 425, 287, 303, 64, 243, 456, 95, 104, 12, 444, 68, 353, 1, 146, 398, 288, 416, 255, 371, 72, 227, 139, 250, 165, 60, 363, 446, 209, 154, 36, 294, 494, 433, 109, 200, 131, 475, 495, 338, 389, 373, 121, 93, 178, 14, 51, 33, 241, 365, 126, 404, 74, 46, 438, 361, 29, 71, 68, 103, 311, 55, 21, 479, 320, 169, 171, 98, 4, 259, 94, 133, 316, 218, 328, 104, 372, 431, 419, 157, 98, 388, 263, 336, 266, 377, 332, 264, 115, 489, 236, 54, 234, 65, 264, 139, 182, 379, 255, 204, 208, 155, 17, 170, 350, 349, 114, 261, 278, 382, 154, 1, 95, 59, 348, 132, 103, 175, 133, 107, 1, 48, 242, 255, 121, 289, 196, 80, 429, 258, 258, 221, 117, 10, 2, 22, 419, 328, 314, 341, 138, 269, 248, 359, 313, 66, 73, 316, 316, 252, 203, 212, 226, 398, 362, 258, 82, 40, 9, 29, 445, 316, 478, 293, 357, 377, 458, 165, 338, 255, 370, 375, 171, 442, 152, 402, 218, 135, 486, 27, 45, 148, 145, 454, 449, 382, 12, 491, 349, 331, 26, 89, 81, 490, 68, 176, 6, 100, 356, 420, 297, 424, 287, 336, 220, 245, 20, 60, 161, 334, 390, 310, 160, 155, 472, 171, 213, 130, 166, 87, 193, 2, 71, 257, 41, 492, 167, 456, 233, 473, 349, 463, 433, 389, 36, 351, 29, 322, 299, 194, 402, 272, 236, 9, 185, 313, 289, 114, 463, 352, 253, 16, 244, 10, 411, 446, 287, 337, 475, 325, 421, 489, 208, 463, 358, 363, 21, 184, 390, 396, 274, 408, 40, 463, 410, 111, 340, 144, 163, 341, 60, 199, 309, 286, 410, 232, 84, 383, 153, 197, 437, 27, 394, 99, 28, 120, 310, 391, 255, 196, 222, 32, 257, 120, 473, 367, 345, 294, 139, 260, 140, 197, 362, 157, 24, 103, 177, 43, 400, 461, 277, 450, 26, 3, 107, 0, 320, 246, 386, 238, 322, 218, 289, 22, 98, 484, 313, 308, 181, 353, 162, 8, 358, 349, 270, 91, 442, 81, 463, 262, 457, 316, 413, 185, 30, 358, 273, 150, 12, 376, 159, 191, 252, 463, 173, 410, 462, 108, 107, 36, 341, 14, 331, 132, 496, 177, 376, 295, 226, 483, 112, 435, 17, 298, 427, 156, 392, 235, 278, 363, 171, 476, 432, 118, 444, 47, 211, 95, 376, 25, 47, 331, 66, 386, 352, 197, 425, 296, 495, 20, 202, 41, 48, 184, 419, 114, 51, 352, 258, 383, 425, 135, 88, 188, 186, 276, 301, 93, 380, 282, 23, 500, 58, 180, 305, 408, 173, 95, 223, 394, 151}

Returns: 8
{663, 672, 722, 831, 870, 796, 857, 881, 886, 795, 786, 713, 766, 726, 898, 754, 697, 662, 664, 640, 807, 890, 779, 824, 872, 684, 774, 725, 790, 877, 693, 800, 866, 697, 839, 828, 664, 866, 812, 757, 866, 878, 624, 725, 644, 614, 691, 746, 741, 657, 748, 884, 703, 604, 832, 736, 747, 768, 706, 614, 603, 838, 769, 662, 740, 895, 633, 884, 832, 723, 767, 889, 720, 639, 714, 747, 615, 705, 680, 876, 776, 730, 688, 684, 860, 746, 900, 811, 706, 762, 734, 705, 815, 768, 615, 662, 858, 784, 636, 654, 719, 635, 701, 685, 661, 725, 794, 614, 884, 761, 634, 855, 769, 806, 666, 778, 874, 819, 793, 741, 791, 663, 728, 730, 826, 810, 714, 718, 836, 627, 723, 712, 606, 801, 886, 640, 896, 768, 688, 663, 782, 853, 665, 799, 667, 805, 721, 771, 889, 666, 605, 725, 800, 701, 840, 638, 751, 668, 805, 876, 654, 828, 658, 701, 887, 779, 731, 721, 661, 615, 687, 727, 709, 874, 692, 837, 757, 690, 744, 765, 669, 894, 871, 625, 772, 752, 751, 893, 604, 717, 689, 678, 690, 719, 691, 816, 837, 679, 898, 733, 725, 695, 667, 845, 725, 854, 867, 780, 737, 845, 715, 889, 852, 847, 649, 738, 618, 692, 890, 788, 802, 812, 610, 623, 693, 710, 668, 701, 823, 865, 809, 862, 602, 659, 652, 869, 716, 696, 678, 681, 664, 603, 673, 873, 753, 673, 636, 795, 657, 716, 798, 881, 894, 835, 793, 853, 808, 863, 774, 863, 860, 728, 614, 845, 665, 661, 731, 853, 755, 830, 775, 798, 733, 882, 640, 759, 794, 842, 726, 830, 703, 758, 689, 720, 606, 832, 708, 608, 822, 665, 766, 632, 631, 871, 732, 642, 629, 805, 813, 692, 688, 623, 814, 681, 887, 765, 709, 754, 779, 842, 818, 685, 864, 822, 639, 728, 735, 864, 737, 610, 734, 845, 781, 721, 813, 677, 717, 692, 676, 818, 845, 652, 681, 844, 659, 766, 810, 713, 608, 866, 663, 746, 669, 738, 875, 632, 814, 673, 779, 634, 671, 797, 785, 816, 665, 659, 616, 803, 738, 897, 630, 786, 733, 814, 629, 677, 834, 806, 758, 896, 618, 649, 717, 620, 779, 601, 852, 833, 661, 719, 696, 690, 759, 777, 887, 785, 671, 857, 666, 879, 609, 788, 663, 876, 897, 616, 836, 754, 713, 886, 687, 811, 873, 811, 689, 893, 649, 868, 680, 752, 851, 797, 643, 699, 813, 822, 726, 850, 879, 770, 783, 629, 829, 687, 852, 682, 748, 606, 794, 899, 812, 811, 690, 628, 771, 652, 826, 799, 682, 838, 865, 893, 753, 774, 625, 690, 765, 648, 695, 641, 806, 832, 714, 868, 641, 746, 826, 640, 697, 650, 881, 712, 750, 800, 691, 813, 715, 848, 832, 641, 887, 765, 826, 738, 602, 734, 712, 740, 824, 838, 900, 859, 861, 663, 805, 681, 690, 660, 880, 645, 795, 705, 882, 706, 812, 645, 785, 651, 803, 858, 667, 729, 824, 807, 843, 827, 832, 845, 649, 827, 687, 822, 674, 867, 884, 824, 622, 723, 685, 774, 770, 696, 786, 630, 893, 776, 620, 732, 836, 641, 879, 793, 658, 670, 880, 885, 729, 672, 673, 843, 862, 641, 769, 778, 722, 668, 850, 647, 716, 884, 818, 631, 797, 821, 790, 805, 788, 778, 728, 852, 745, 611, 651, 629, 865, 634, 748, 678, 655, 749, 784, 853, 645, 810, 878, 680, 647, 824, 771, 652, 601, 853, 796, 627, 829, 671, 760, 884, 847, 609, 605, 877, 843, 780, 707, 622, 676, 681, 601, 791, 869, 612, 821, 717, 758, 712, 889, 856, 803, 833, 834, 688, 775, 725, 863, 736, 604, 743, 602, 728, 691, 622, 683, 635, 679, 857, 813, 653, 766, 763, 600, 634, 774, 895, 769, 731, 671, 741, 625, 881, 873, 648, 602, 834, 823, 818, 766, 628, 750, 711, 804, 752, 801, 889, 883, 751, 643, 624, 763, 789, 700, 666, 790, 854, 710, 657, 709, 601, 812, 771, 603, 726, 753, 794, 837, 642, 726, 675, 847, 716, 828, 879, 845, 676, 773, 775, 778, 825, 720, 606, 771, 659, 641, 774, 646, 830, 774, 651, 686, 625, 762, 672, 822, 784, 623, 615, 608, 654, 710, 755, 702, 763, 690, 807, 639, 636, 831, 818, 895, 633, 711, 687, 813, 741, 735, 652, 620, 760, 803, 688, 842, 754, 743, 889, 688, 844, 637, 692, 796, 725, 877, 766, 646, 681, 670, 746, 723, 636, 608, 878, 848, 629, 647, 740, 716, 602, 656, 880, 744, 694, 641, 832, 673, 882, 783, 716, 779, 611, 851, 799, 761, 872, 731, 804, 835, 679, 609, 792, 798, 718, 799, 855, 689, 673, 626, 767, 691, 698, 841, 826, 742, 712, 625, 857, 773, 843, 748, 855, 788, 782, 765, 812, 816, 797, 874, 852, 757, 874, 612, 825, 663, 605, 811, 798, 832, 747, 657, 707, 892, 775, 694, 646, 606, 750, 685, 807, 720, 614, 739, 763, 693, 847, 812, 663, 719, 619, 870, 779, 608, 663, 745, 782, 702, 627, 765, 635, 840, 855, 871, 852, 665, 733, 726, 746, 881, 871, 632, 733, 833, 864, 885, 843, 739, 864, 826, 663, 763, 883, 892, 619, 894, 726, 653, 839, 889, 863, 850, 607, 601, 861, 626, 747, 881, 740, 706, 873, 894, 821, 836, 742, 675, 818, 753, 663, 818, 882, 830, 674, 837, 816, 849, 755, 757, 824, 679, 615, 870, 716, 899, 872, 699, 600, 890, 622, 768, 762, 610, 750, 771, 783, 625, 900, 806, 813, 732, 866, 617, 789, 826, 841, 600, 733, 842, 880, 725, 881, 810, 629, 827, 824, 830, 841, 606, 675, 690, 660, 780, 659, 875, 719, 719, 717, 652, 712, 768, 721, 681, 624, 813, 687, 722, 797, 701, 633, 842, 800, 814, 629, 669, 662, 812, 745, 739, 778, 685, 854, 739, 860, 766, 693, 822, 740, 679, 848, 886, 758, 780, 775, 718, 667, 622, 777, 775, 661, 659, 722, 723, 821, 690, 657}

{228, 201, 259, 321, 335, 93, 0, 230, 30, 229, 267, 471, 385, 68, 18, 355, 412, 91, 469, 158, 209, 112, 468, 285, 146, 63, 36, 76, 348, 6, 275, 348, 195, 298, 443, 409, 120, 68, 470, 330, 433, 242, 396, 481, 269, 316, 106, 489, 467, 236, 146, 180, 18, 258, 185, 206, 214, 362, 345, 74, 84, 264, 309, 122, 495, 255, 193, 451, 116, 190, 11, 216, 445, 373, 134, 348, 458, 339, 235, 434, 403, 267, 118, 413, 441, 439, 457, 133, 450, 107, 277, 463, 397, 120, 359, 397, 439, 45, 269, 1, 70, 121, 296, 87, 218, 144, 335, 149, 414, 497, 320, 37, 24, 310, 280, 378, 6, 140, 220, 435, 21, 416, 448, 106, 432, 391, 174, 179, 104, 281, 396, 409, 346, 371, 97, 361, 489, 240, 103, 118, 288, 65, 59, 259, 220, 350, 91, 403, 24, 1, 281, 383, 115, 436, 87, 381, 484, 495, 472, 168, 186, 139, 9, 311, 2, 246, 438, 238, 250, 241, 100, 320, 347, 109, 402, 444, 95, 257, 252, 453, 434, 465, 485, 260, 394, 489, 47, 138, 88, 170, 265, 67, 123, 376, 400, 439, 74, 200, 243, 132, 153, 90, 369, 405, 408, 135, 375, 111, 265, 296, 11, 194, 290, 176, 126, 399, 470, 465, 249, 55, 192, 118, 484, 28, 407, 484, 360, 313, 288, 444, 123, 74, 393, 302, 37, 9, 100, 399, 457, 476, 59, 291, 231, 258, 470, 152, 53, 300, 158, 226, 434, 269, 336, 347, 8, 402, 253, 313, 453, 299, 115, 264, 400, 0, 96, 458, 405, 208, 198, 194, 395, 28, 234, 100, 355, 244, 470, 348, 172, 159, 180, 2, 295, 130, 392, 197, 216, 3, 232, 7, 149, 191, 427, 175, 260, 59, 201, 94, 239, 423, 91, 490, 169, 282, 233, 278, 44, 243, 6, 103, 199, 239, 97, 254, 0, 17, 77, 203, 416, 205, 70, 167, 418, 376, 235, 178, 113, 97, 322, 374, 482, 447, 99, 130, 237, 302, 495, 188, 327, 206, 299, 180, 182, 448, 14, 495, 88, 340, 149, 441, 240, 224, 414, 276, 250, 405, 460, 463, 32, 245, 47, 151, 289, 161, 437, 102, 100, 136, 405, 287, 219, 11, 499, 249, 307, 44, 213, 343, 362, 321, 77, 15, 375, 53, 196, 439, 163, 28, 202, 349, 337, 294, 225, 67, 353, 311, 189, 456, 58, 84, 13, 385, 317, 85, 337, 100, 365, 172, 330, 175, 456, 44, 20, 26, 369, 334, 357, 397, 226, 403, 235, 255, 346, 366, 22, 436, 184, 164, 177, 319, 272, 342, 418, 29, 362, 191, 415, 316, 61, 445, 483, 219, 8, 202, 408, 135, 111, 70, 318, 442, 89, 46, 434, 107, 422, 211, 405, 228, 101, 159, 92, 496, 407, 227, 165, 234, 246, 321, 269, 447, 454, 408, 7, 226, 156, 236, 325, 492, 439, 170, 381, 44, 426, 222, 23, 76, 54, 240, 171, 49, 419, 27, 8, 286, 473, 190, 22, 335, 499, 444, 241, 277, 217, 289, 187, 426, 202, 138, 180, 242, 84, 374, 243, 462, 30, 22, 404, 449, 185, 450, 395, 196, 169, 408, 383, 108, 337, 476, 234, 312, 113, 137, 380, 323, 491, 207, 378, 363, 482, 139, 85, 371, 260, 487, 498, 58, 334, 390, 36, 363, 114, 180, 249, 59, 139, 244, 30, 498, 436, 48, 446, 150, 73, 273, 413, 375, 251, 94, 380, 383, 278, 147, 387, 82, 286, 317, 253, 50, 437, 222, 271, 103, 319, 39, 444, 249, 485, 32, 384, 481, 99, 196, 209, 33, 22, 259, 207, 162, 288, 16, 225, 334, 201, 97, 86, 161, 315, 32, 56, 120, 290, 191, 23, 195, 133, 389, 30, 492, 382, 92, 466, 476, 450, 235, 393, 209, 326, 65, 143, 53, 27, 192, 11, 154, 357, 12, 448, 27, 289, 202, 229, 148, 300, 315, 444, 211, 25, 143, 279, 458, 145, 106, 432, 70, 297, 254, 311, 485, 399, 87, 215, 36, 345, 190, 347, 238, 215, 132, 163, 355, 452, 267, 472, 176, 196, 252, 436, 496, 27, 469, 487, 189, 407, 197, 253, 122, 353, 111, 353, 468, 94, 170, 272, 451, 26, 225, 7, 435, 322, 134, 293, 31, 173, 165, 102, 231, 402, 64, 176, 424, 90, 371, 410, 244, 315, 421, 217, 22, 433, 359, 163, 471, 178, 89, 274, 13, 215, 454, 50, 342, 123, 139, 16, 460, 493, 76, 5, 349, 395, 9, 1, 500, 145, 290, 408, 55, 494, 425, 497, 24, 79, 263, 456, 299, 487, 403, 50, 105, 228, 446, 12, 43, 58, 184, 25, 485, 227, 80, 439, 228, 245, 7, 271, 342, 282, 129, 336, 59, 230, 263, 8, 28, 454, 198, 284, 403, 305, 89, 312, 479, 405, 169, 37, 144, 103, 475, 408, 402, 94, 182, 192, 139, 18, 446, 318, 71, 493, 308, 247, 201, 176, 316, 6, 49, 290, 8, 230, 476, 18, 436, 218, 462, 54, 459, 393, 423, 368, 401, 338, 309, 241, 493, 279, 155, 105, 287, 360, 17, 115, 209, 66, 313, 311, 181, 154, 342, 285, 440, 194, 11, 244, 228, 211, 397, 274, 365, 166, 401, 138, 165, 284, 278, 318, 208, 381, 197, 234, 103, 374, 43, 388, 26, 360, 27, 200, 192, 487, 149, 108, 228, 451, 444, 484, 476, 238, 311, 175, 168, 27, 47, 456, 107, 51, 235, 319, 147, 477, 302, 96, 493, 334, 60, 152, 135, 260, 120, 24, 488, 378, 448, 477, 119, 13, 403, 175, 105, 471, 372, 224, 90, 276, 301, 485, 273, 304, 60, 225, 458, 48, 344, 296, 206, 101, 71, 244, 76, 43, 6, 143, 229, 469, 404, 159, 400, 76, 24, 69, 266, 406, 363, 373, 230, 8, 128, 384, 280, 450, 340, 237, 403, 297, 382, 302, 338, 380, 305, 163, 65, 412, 51, 133, 346, 83, 257, 21, 468, 211, 219, 318, 99, 369, 477, 377, 249, 185, 484, 429, 382, 15, 447, 289, 307, 320, 461, 70, 492, 322, 212, 313, 46}

Returns: 14
{638, 801, 768, 773, 780, 782, 690, 843, 676, 660, 659, 829, 855, 792, 825, 830, 842, 775, 729, 709, 767, 867, 650, 748, 700, 698, 729, 801, 759, 726, 807, 656, 792, 710, 780, 694, 630, 626, 897, 686, 621, 870, 644, 620, 881, 808, 869, 605, 608, 895, 601, 883, 867, 832, 745, 847, 673, 846, 694, 882, 873, 852, 847, 759, 755, 849, 750, 660, 779, 631, 866, 614, 619, 848, 752, 733, 792, 756, 607, 800, 780, 801, 887, 635, 637, 793, 883, 685, 602, 670, 762, 695, 743, 846, 861, 714, 792, 689, 613, 650, 874, 770, 766, 800, 836, 733, 686, 661, 641, 626, 688, 852, 770, 876, 703, 849, 841, 665, 680, 768, 618, 873, 607, 705, 806, 700, 666, 743, 716, 864, 687, 819, 642, 737, 822, 780, 688, 683, 782, 728, 708, 674, 678, 613, 601, 683, 734, 703, 693, 822, 705, 701, 826, 883, 833, 739, 869, 628, 776, 882, 667, 821, 646, 621, 745, 863, 668, 831, 880, 679, 662, 730, 881, 886, 754, 801, 680, 660, 814, 843, 720, 749, 727, 654, 777, 852, 622, 800, 856, 612, 690, 809, 776, 675, 776, 821, 672, 877, 812, 656, 878, 666, 615, 870, 876, 688, 712, 737, 730, 816, 776, 737, 765, 794, 611, 737, 623, 814, 607, 880, 863, 696, 683, 874, 611, 663, 630, 657, 622, 660, 664, 874, 606, 703, 745, 776, 627, 710, 677, 802, 636, 728, 867, 687, 728, 868, 662, 613, 736, 639, 658, 857, 703, 764, 785, 734, 724, 830, 787, 751, 671, 729, 830, 709, 831, 665, 628, 792, 625, 709, 636, 730, 795, 886, 630, 790, 716, 604, 693, 745, 748, 733, 740, 900, 758, 763, 624, 687, 653, 809, 821, 735, 814, 874, 879, 603, 871, 710, 718, 698, 663, 869, 793, 815, 742, 767, 639, 737, 634, 780, 881, 657, 796, 870, 662, 678, 825, 667, 838, 696, 786, 841, 822, 819, 829, 768, 715, 699, 895, 724, 602, 881, 645, 636, 681, 763, 647, 630, 660, 637, 620, 687, 864, 840, 810, 791, 689, 768, 642, 866, 602, 654, 671, 626, 894, 616, 825, 642, 824, 649, 645, 788, 708, 891, 747, 793, 723, 828, 881, 644, 884, 745, 833, 734, 808, 700, 607, 798, 728, 619, 623, 853, 793, 862, 889, 701, 789, 631, 798, 738, 739, 890, 715, 789, 885, 786, 699, 676, 640, 888, 819, 742, 675, 743, 674, 742, 802, 845, 758, 878, 662, 899, 821, 637, 627, 747, 854, 748, 638, 649, 791, 618, 795, 818, 852, 686, 800, 836, 814, 828, 825, 716, 769, 870, 838, 827, 735, 687, 683, 828, 627, 733, 630, 797, 893, 893, 785, 859, 868, 603, 641, 626, 883, 643, 831, 766, 807, 806, 857, 671, 680, 621, 801, 630, 680, 654, 811, 690, 794, 832, 861, 686, 891, 882, 893, 716, 615, 839, 658, 837, 675, 780, 824, 704, 846, 766, 650, 733, 801, 752, 660, 874, 803, 771, 791, 719, 773, 768, 605, 647, 611, 841, 601, 626, 669, 884, 836, 713, 654, 819, 809, 826, 631, 618, 836, 657, 834, 745, 701, 718, 638, 880, 736, 712, 673, 763, 884, 675, 628, 754, 722, 713, 749, 837, 607, 788, 835, 673, 685, 706, 802, 647, 761, 685, 676, 777, 896, 885, 638, 837, 643, 855, 736, 600, 863, 618, 690, 802, 847, 612, 633, 752, 630, 880, 851, 827, 744, 602, 606, 827, 843, 783, 651, 785, 794, 851, 789, 890, 708, 852, 624, 876, 874, 880, 645, 794, 835, 653, 884, 625, 858, 892, 843, 708, 744, 868, 743, 803, 644, 843, 705, 702, 629, 878, 723, 655, 832, 749, 885, 885, 769, 837, 669, 702, 799, 811, 639, 846, 694, 716, 709, 656, 601, 638, 710, 707, 677, 668, 666, 725, 683, 701, 765, 791, 654, 732, 650, 696, 672, 618, 611, 803, 689, 875, 739, 684, 630, 878, 878, 816, 820, 898, 668, 601, 737, 776, 763, 895, 810, 870, 600, 869, 752, 711, 656, 772, 625, 899, 845, 649, 836, 804, 822, 621, 649, 604, 753, 878, 741, 691, 846, 643, 806, 705, 631, 760, 889, 620, 875, 886, 818, 650, 778, 686, 871, 802, 741, 635, 647, 701, 779, 670, 622, 787, 847, 683, 829, 671, 689, 618, 739, 859, 882, 772, 819, 770, 774, 837, 795, 686, 881, 678, 803, 880, 801, 867, 817, 831, 730, 700, 875, 606, 794, 846, 807, 854, 661, 890, 872, 853, 802, 774, 897, 770, 636, 738, 875, 834, 887, 734, 797, 612, 864, 738, 681, 707, 848, 835, 717, 805, 621, 782, 680, 785, 870, 853, 779, 891, 605, 641, 791, 843, 752, 751, 838, 764, 614, 731, 666, 709, 848, 701, 743, 696, 684, 677, 673, 730, 673, 882, 798, 650, 897, 631, 719, 774, 885, 782, 835, 865, 643, 790, 601, 617, 822, 620, 609, 880, 605, 803, 785, 716, 639, 758, 834, 766, 888, 874, 633, 614, 685, 661, 780, 867, 684, 652, 652, 897, 885, 874, 782, 739, 721, 694, 867, 697, 829, 757, 895, 863, 716, 888, 751, 794, 837, 813, 617, 782, 885, 764, 723, 701, 674, 731, 603, 726, 601, 690, 790, 857, 871, 832, 709, 753, 670, 662, 831, 844, 764, 775, 613, 847, 661, 857, 652, 665, 865, 668, 682, 631, 779, 849, 625, 637, 627, 766, 748, 808, 889, 840, 882, 873, 826, 693, 608, 603, 665, 872, 862, 893, 678, 871, 845, 773, 843, 614, 730, 773, 834, 806, 659, 869, 710, 839, 900, 829, 806, 711, 798, 810, 748, 723, 689, 860, 747, 665, 666, 630, 887, 654, 631, 607, 773, 618, 861, 696, 610, 784, 842, 709, 629, 785, 616, 672, 753, 727, 632, 648, 692, 804, 612, 879, 773, 650, 618, 646, 729, 774, 705, 630, 755, 795, 780, 872, 603, 651, 758, 639, 813, 731, 717, 745, 639, 621, 623, 870, 624, 663, 868, 837, 711, 704, 689, 742, 765, 846, 829, 696, 897, 668, 646, 652, 663, 823, 732, 678, 786, 621, 896, 865}

{430, 159, 219, 22, 354, 45, 183, 82, 140, 0, 281, 399, 285, 445, 256, 192, 379, 4, 206, 482, 102, 26, 141, 42, 369, 191, 410, 493, 139, 49, 203, 143, 447, 485, 192, 58, 226, 146, 31, 264, 82, 81, 127, 499, 352, 275, 99, 81, 409, 71, 164, 439, 265, 70, 99, 381, 265, 107, 59, 310, 52, 82, 230, 2, 244, 336, 37, 495, 77, 187, 54, 476, 221, 363, 359, 151, 104, 282, 172, 197, 316, 386, 96, 301, 359, 85, 392, 234, 75, 145, 62, 19, 358, 52, 70, 325, 332, 200, 295, 253, 357, 381, 411, 174, 86, 152, 34, 27, 70, 460, 391, 87, 455, 171, 19, 269, 237, 160, 124, 39, 182, 469, 453, 91, 177, 253, 433, 352, 51, 254, 134, 24, 45, 468, 165, 142, 419, 289, 401, 401, 355, 11, 414, 207, 427, 226, 274, 168, 434, 54, 77, 167, 113, 259, 222, 113, 165, 485, 279, 343, 212, 458, 113, 173, 248, 132, 66, 170, 237, 439, 383, 177, 499, 426, 25, 20, 335, 310, 359, 108, 121, 41, 359, 86, 123, 203, 395, 175, 379, 435, 262, 48, 405, 138, 61, 127, 10, 476, 362, 13, 130, 344, 16, 6, 296, 176, 159, 497, 382, 172, 158, 192, 461, 0, 490, 50, 330, 342, 61, 110, 492, 404, 422, 368, 415, 2, 162, 307, 140, 217, 265, 294, 6, 450, 158, 312, 111, 217, 183, 465, 32, 260, 398, 187, 48, 97, 252, 328, 442, 457, 335, 229, 241, 209, 103, 202, 111, 369, 377, 41, 414, 379, 66, 203, 488, 117, 274, 282, 397, 212, 483, 490, 81, 400, 210, 308, 102, 440, 108, 286, 194, 261, 229, 195, 388, 399, 355, 57, 450, 419, 172, 464, 17, 71, 103, 459, 345, 162, 383, 158, 158, 102, 217, 120, 93, 131, 113, 41, 161, 146, 355, 341, 386, 282, 428, 195, 173, 72, 461, 284, 466, 247, 278, 152, 225, 204, 173, 468, 52, 152, 236, 369, 15, 356, 172, 114, 165, 280, 429, 212, 190, 68, 41, 385, 244, 107, 427, 75, 332, 306, 365, 240, 438, 23, 90, 141, 216, 394, 247, 80, 172, 450, 75, 402, 380, 149, 57, 380, 463, 9, 201, 492, 298, 399, 468, 225, 355, 106, 19, 314, 253, 248, 110, 282, 214, 388, 67, 1, 148, 433, 164, 71, 179, 204, 315, 479, 232, 108, 431, 100, 159, 221, 404, 206, 56, 102, 436, 356, 130, 274, 50, 494, 257, 84, 478, 68, 236, 149, 414, 67, 203, 35, 473, 330, 347, 57, 340, 55, 103, 100, 400, 83, 78, 74, 87, 287, 245, 130, 418, 283, 341, 48, 97, 210, 10, 99, 142, 307, 392, 317, 437, 454, 198, 91, 13, 179, 127, 336, 441, 220, 266, 471, 98, 416, 486, 179, 499, 272, 97, 386, 275, 77, 185, 128, 137, 146, 39, 486, 209, 467, 146, 57, 263, 323, 242, 40, 228, 295, 294, 424, 449, 4, 441, 93, 257, 376, 227, 10, 19, 306, 273, 416, 282, 0, 416, 193, 328, 176, 419, 211, 257, 50, 336, 148, 14, 19, 498, 340, 339, 21, 177, 363, 317, 46, 186, 413, 326, 12, 360, 255, 279, 326, 475, 205, 269, 333, 473, 147, 130, 301, 204, 421, 479, 457, 329, 261, 414, 141, 493, 206, 158, 356, 263, 169, 454, 442, 304, 0, 111, 1, 209, 141, 423, 155, 113, 348, 147, 49, 74, 199, 313, 45, 496, 434, 21, 454, 391, 278, 87, 88, 483, 179, 186, 116, 93, 190, 64, 376, 136, 37, 323, 86, 151, 239, 61, 10, 407, 134, 407, 251, 30, 419, 322, 327, 4, 445, 163, 300, 7, 477, 273, 389, 29, 25, 434, 292, 160, 167, 317, 164, 192, 97, 215, 451, 78, 100, 258, 298, 27, 131, 149, 259, 488, 142, 468, 8, 296, 365, 126, 158, 214, 405, 308, 402, 89, 345, 188, 310, 476, 26, 332, 320, 134, 499, 368, 166, 248, 30, 362, 1, 424, 312, 223, 233, 146, 90, 318, 49, 85, 293, 319, 469, 321, 47, 2, 183, 250, 404, 6, 339, 473, 437, 362, 446, 344, 76, 375, 486, 111, 357, 262, 100, 288, 174, 278, 260, 59, 5, 20, 201, 234, 190, 90, 407, 138, 303, 245, 217, 293, 253, 387, 437, 37, 324, 374, 457, 192, 365, 297, 79, 126, 215, 36, 140, 55, 429, 410, 459, 483, 47, 492, 53, 202, 79, 403, 416, 480, 182, 359, 313, 359, 488, 182, 31, 103, 248, 87, 398, 424, 149, 490, 318, 190, 451, 227, 331, 482, 453, 468, 59, 416, 99, 157, 436, 206, 0, 379, 411, 334, 29, 349, 421, 198, 48, 228, 151, 417, 454, 397, 358, 445, 380, 92, 257, 359, 216, 361, 157, 163, 430, 310, 373, 338, 282, 498, 342, 382, 471, 108, 113, 473, 37, 209, 483, 395, 374, 150, 128, 89, 15, 318, 359, 466, 193, 235, 143, 178, 107, 384, 474, 75, 455, 306, 45, 15, 88, 407, 389, 58, 449, 84, 480, 249, 208, 268, 233, 352, 381, 6, 130, 250, 234, 248, 136, 106, 312, 103, 345, 335, 422, 124, 108, 268, 126, 206, 399, 328, 62, 435, 372, 269, 208, 389, 40, 151, 330, 252, 147, 427, 456, 424, 172, 352, 130, 468, 399, 43, 65, 368, 161, 250, 57, 178, 306, 252, 419, 496, 164, 301, 473, 178, 212, 324, 68, 499, 248, 409, 96, 48, 263, 76, 259, 348, 389, 458, 258, 14, 13, 420, 463, 249, 375, 338, 374, 127, 185, 208, 276, 147, 296, 347, 5, 234, 138, 111, 10, 30, 431, 367, 351, 199, 311, 462, 451, 393, 321, 482, 140, 431, 277, 457, 198, 279, 210, 312, 482, 29, 483, 92, 230, 192, 343, 94, 247, 61, 33, 478, 114, 183, 348, 12, 214, 134, 71, 252, 249, 262, 152, 239, 165, 476, 47, 427, 105, 325, 46, 242, 225, 120, 156, 426, 367, 322, 425, 258, 122, 354, 495, 259, 167, 332, 134, 317, 99, 72, 434, 370, 274, 407, 322}

Returns: 14
{340, 664, 403, 191, 753, 76, 840, 646, 162, 978, 168, 499, 29, 355, 302, 103, 718, 54, 598, 367, 882, 956, 421, 383, 581, 837, 373, 487, 88, 764, 204, 28, 710, 827, 614, 382, 378, 517, 732, 100, 261, 337, 217, 794, 585, 782, 560, 588, 83, 350, 80, 384, 501, 324, 180, 237, 298, 974, 786, 901, 701, 620, 863, 828, 369, 275, 975, 212, 700, 328, 665, 245, 218, 952, 259, 305, 316, 638, 216, 396, 505, 683, 763, 379, 791, 149, 165, 437, 176, 338, 707, 767, 432, 395, 561, 829, 73, 75, 415, 913, 447, 493, 269, 203, 481, 627, 994, 821, 265, 592, 571, 115, 147, 101, 254, 285, 668, 107, 270, 99, 398, 807, 49, 474, 800, 996, 9, 754, 154, 971, 810, 991, 393, 408, 957, 834, 181, 993, 356, 157, 644, 345, 861, 228, 133, 58, 903, 284, 655, 601, 890, 507, 30, 648, 871, 765, 774, 759, 831, 490, 851, 880, 968, 279, 161, 134, 542, 583, 862, 13, 67, 14, 875, 380, 377, 417, 529, 611, 26, 184, 186, 679, 450, 226, 637, 715, 461, 418, 670, 148, 388, 741, 66, 564, 227, 286, 472, 174, 674, 697, 468, 21, 332, 516, 959, 870, 757, 229, 297, 722, 550, 467, 857, 223, 682, 817, 330, 579, 428, 158, 618, 473, 502, 789, 667, 885, 693, 195, 591, 881, 896, 814, 311, 413, 575, 59, 549, 3, 524, 580, 299, 248, 570, 623, 846, 315, 858, 84, 928, 53, 948, 155, 260, 953, 206, 684, 934, 385, 559, 504, 925, 321, 717, 127, 434, 234, 200, 126, 891, 528, 150, 63, 10, 457, 735, 477, 603, 451, 838, 545, 24, 48, 615, 856, 110, 518, 230, 989, 531, 622, 816, 796, 489, 500, 893, 79, 566, 727, 512, 137, 563, 287, 22, 734, 343, 960, 106, 798, 522, 712, 68, 938, 132, 685, 822, 699, 654, 449, 819, 118, 37, 761, 391, 916, 572, 1, 190, 267, 941, 721, 643, 386, 514, 308, 288, 232, 116, 199, 929, 950, 264, 820, 439, 208, 720, 187, 847, 998, 839, 293, 323, 72, 574, 745, 777, 143, 192, 35, 605, 703, 488, 136, 351, 453, 169, 339, 365, 830, 43, 728, 658, 706, 71, 892, 708, 471, 593, 436, 117, 441, 910, 750, 582, 289, 521, 551, 626, 970, 427, 95, 268, 464, 91, 171, 326, 178, 179, 145, 673, 140, 36, 39, 747, 250, 347, 640, 744, 120, 737, 188, 967, 198, 104, 241, 704, 361, 554, 902, 479, 979, 645, 153, 675, 657, 772, 799, 527, 271, 401, 653, 666, 749, 381, 917, 869, 955, 652, 884, 93, 835, 599, 78, 538, 790, 513, 780, 277, 102, 909, 995, 660, 86, 558, 166, 633, 256, 503, 982, 855, 475, 307, 90, 392, 940, 532, 826, 919, 430, 341, 362, 108, 843, 85, 327, 40, 600, 689, 904, 818, 964, 506, 981, 406, 23, 257, 932, 12, 716, 546, 446, 628, 70, 96, 760, 420, 334, 25, 963, 795, 214, 376, 111, 984, 119, 210, 335, 456, 454, 74, 602, 806, 244, 185, 865, 631, 992, 883, 438, 945, 961, 635, 797, 121, 422, 407, 81, 510, 709, 969, 242, 372, 409, 597, 976, 508, 651, 590, 33, 272, 859, 748, 589, 463, 958, 723, 253, 724, 177, 604, 87, 804, 50, 363, 731, 304, 213, 779, 746, 31, 860, 274, 808, 742, 313, 77, 738, 935, 836, 207, 898, 342, 525, 985, 543, 319, 283, 972, 170, 962, 419, 587, 211, 677, 62, 612, 247, 292, 15, 221, 368, 946, 663, 309, 318, 802, 246, 89, 249, 595, 476, 889, 912, 278, 189, 815, 980, 466, 336, 484, 639, 42, 151, 867, 7, 879, 317, 576, 686, 357, 662, 698, 565, 988, 295, 784, 568, 548, 793, 469, 915, 114, 354, 142, 352, 632, 702, 809, 849, 205, 775, 135, 348, 366, 455, 873, 94, 219, 803, 841, 533, 787, 999, 676, 144, 895, 61, 314, 629, 209, 329, 852, 908, 56, 243, 426, 375, 69, 280, 152, 112, 922, 281, 755, 215, 435, 766, 650, 389, 577, 752, 726, 641, 578, 485, 224, 649, 138, 594, 411, 567, 914, 276, 2, 429, 82, 783, 730, 758, 905, 659, 872, 196, 687, 440, 607, 164, 255, 911, 123, 711, 374, 57, 751, 303, 696, 719, 424, 930, 310, 16, 681, 987, 739, 458, 491, 854, 770, 936, 460, 944, 6, 656, 130, 390, 608, 404, 584, 616, 823, 122, 672, 773, 41, 536, 448, 364, 647, 478, 44, 954, 98, 868, 729, 146, 251, 159, 931, 762, 113, 876, 371, 445, 897, 32, 526, 544, 691, 480, 573, 733, 331, 740, 5, 11, 4, 47, 322, 291, 414, 725, 547, 320, 534, 300, 141, 927, 705, 519, 888, 459, 695, 156, 609, 282, 678, 325, 252, 452, 235, 625, 359, 18, 692, 680, 530, 965, 353, 387, 20, 105, 431, 266, 197, 613, 864, 182, 920, 845, 624, 848, 233, 535, 397, 128, 642, 900, 586, 924, 444, 947, 833, 540, 38, 778, 370, 495, 776, 921, 175, 552, 923, 51, 494, 688, 34, 785, 486, 669, 109, 801, 557, 296, 492, 498, 636, 509, 497, 569, 805, 986, 983, 694, 907, 511, 240, 462, 333, 894, 358, 553, 231, 756, 410, 781, 222, 496, 844, 714, 555, 194, 874, 64, 556, 92, 160, 886, 621, 877, 27, 977, 630, 425, 193, 769, 173, 125, 405, 433, 878, 312, 239, 46, 225, 97, 236, 60, 824, 399, 344, 634, 966, 918, 443, 812, 690, 131, 850, 937, 811, 0, 19, 606, 306, 866, 360, 596, 423, 887, 55, 290, 926, 899, 842, 301, 541, 202, 400, 220, 201, 349, 416, 949, 442, 523, 65, 943, 951, 17, 263, 258, 294, 973, 520, 238, 394, 139, 990, 52, 792, 346, 183, 661, 997, 933, 771, 832, 8, 45, 743, 465, 167, 515, 129, 788, 671, 906, 402, 853, 939, 539, 124, 768, 262, 172, 470, 562, 163, 825, 619, 736, 483, 412, 610, 617, 537, 713, 942, 482, 813, 273}

{340, 664, 403, 191, 753, 76, 840, 646, 162, 978, 168, 499, 29, 355, 302, 103, 718, 54, 598, 367, 882, 956, 421, 383, 581, 837, 373, 487, 88, 764, 204, 28, 710, 827, 614, 382, 378, 517, 732, 100, 261, 337, 217, 794, 585, 782, 560, 588, 83, 350, 80, 384, 501, 324, 180, 237, 298, 974, 786, 901, 701, 620, 863, 828, 369, 275, 975, 212, 700, 328, 665, 245, 218, 952, 259, 305, 316, 638, 216, 396, 505, 683, 763, 379, 791, 149, 165, 437, 176, 338, 707, 767, 432, 395, 561, 829, 73, 75, 415, 913, 447, 493, 269, 203, 481, 627, 994, 821, 265, 592, 571, 115, 147, 101, 254, 285, 668, 107, 270, 99, 398, 807, 49, 474, 800, 996, 9, 754, 154, 971, 810, 991, 393, 408, 957, 834, 181, 993, 356, 157, 644, 345, 861, 228, 133, 58, 903, 284, 655, 601, 890, 507, 30, 648, 871, 765, 774, 759, 831, 490, 851, 880, 968, 279, 161, 134, 542, 583, 862, 13, 67, 14, 875, 380, 377, 417, 529, 611, 26, 184, 186, 679, 450, 226, 637, 715, 461, 418, 670, 148, 388, 741, 66, 564, 227, 286, 472, 174, 674, 697, 468, 21, 332, 516, 959, 870, 757, 229, 297, 722, 550, 467, 857, 223, 682, 817, 330, 579, 428, 158, 618, 473, 502, 789, 667, 885, 693, 195, 591, 881, 896, 814, 311, 413, 575, 59, 549, 3, 524, 580, 299, 248, 570, 623, 846, 315, 858, 84, 928, 53, 948, 155, 260, 953, 206, 684, 934, 385, 559, 504, 925, 321, 717, 127, 434, 234, 200, 126, 891, 528, 150, 63, 10, 457, 735, 477, 603, 451, 838, 545, 24, 48, 615, 856, 110, 518, 230, 989, 531, 622, 816, 796, 489, 500, 893, 79, 566, 727, 512, 137, 563, 287, 22, 734, 343, 960, 106, 798, 522, 712, 68, 938, 132, 685, 822, 699, 654, 449, 819, 118, 37, 761, 391, 916, 572, 1, 190, 267, 941, 721, 643, 386, 514, 308, 288, 232, 116, 199, 929, 950, 264, 820, 439, 208, 720, 187, 847, 998, 839, 293, 323, 72, 574, 745, 777, 143, 192, 35, 605, 703, 488, 136, 351, 453, 169, 339, 365, 830, 43, 728, 658, 706, 71, 892, 708, 471, 593, 436, 117, 441, 910, 750, 582, 289, 521, 551, 626, 970, 427, 95, 268, 464, 91, 171, 326, 178, 179, 145, 673, 140, 36, 39, 747, 250, 347, 640, 744, 120, 737, 188, 967, 198, 104, 241, 704, 361, 554, 902, 479, 979, 645, 153, 675, 657, 772, 799, 527, 271, 401, 653, 666, 749, 381, 917, 869, 955, 652, 884, 93, 835, 599, 78, 538, 790, 513, 780, 277, 102, 909, 995, 660, 86, 558, 166, 633, 256, 503, 982, 855, 475, 307, 90, 392, 940, 532, 826, 919, 430, 341, 362, 108, 843, 85, 327, 40, 600, 689, 904, 818, 964, 506, 981, 406, 23, 257, 932, 12, 716, 546, 446, 628, 70, 96, 760, 420, 334, 25, 963, 795, 214, 376, 111, 984, 119, 210, 335, 456, 454, 74, 602, 806, 244, 185, 865, 631, 992, 883, 438, 945, 961, 635, 797, 121, 422, 407, 81, 510, 709, 969, 242, 372, 409, 597, 976, 508, 651, 590, 33, 272, 859, 748, 589, 463, 958, 723, 253, 724, 177, 604, 87, 804, 50, 363, 731, 304, 213, 779, 746, 31, 860, 274, 808, 742, 313, 77, 738, 935, 836, 207, 898, 342, 525, 985, 543, 319, 283, 972, 170, 962, 419, 587, 211, 677, 62, 612, 247, 292, 15, 221, 368, 946, 663, 309, 318, 802, 246, 89, 249, 595, 476, 889, 912, 278, 189, 815, 980, 466, 336, 484, 639, 42, 151, 867, 7, 879, 317, 576, 686, 357, 662, 698, 565, 988, 295, 784, 568, 548, 793, 469, 915, 114, 354, 142, 352, 632, 702, 809, 849, 205, 775, 135, 348, 366, 455, 873, 94, 219, 803, 841, 533, 787, 999, 676, 144, 895, 61, 314, 629, 209, 329, 852, 908, 56, 243, 426, 375, 69, 280, 152, 112, 922, 281, 755, 215, 435, 766, 650, 389, 577, 752, 726, 641, 578, 485, 224, 649, 138, 594, 411, 567, 914, 276, 2, 429, 82, 783, 730, 758, 905, 659, 872, 196, 687, 440, 607, 164, 255, 911, 123, 711, 374, 57, 751, 303, 696, 719, 424, 930, 310, 16, 681, 987, 739, 458, 491, 854, 770, 936, 460, 944, 6, 656, 130, 390, 608, 404, 584, 616, 823, 122, 672, 773, 41, 536, 448, 364, 647, 478, 44, 954, 98, 868, 729, 146, 251, 159, 931, 762, 113, 876, 371, 445, 897, 32, 526, 544, 691, 480, 573, 733, 331, 740, 5, 11, 4, 47, 322, 291, 414, 725, 547, 320, 534, 300, 141, 927, 705, 519, 888, 459, 695, 156, 609, 282, 678, 325, 252, 452, 235, 625, 359, 18, 692, 680, 530, 965, 353, 387, 20, 105, 431, 266, 197, 613, 864, 182, 920, 845, 624, 848, 233, 535, 397, 128, 642, 900, 586, 924, 444, 947, 833, 540, 38, 778, 370, 495, 776, 921, 175, 552, 923, 51, 494, 688, 34, 785, 486, 669, 109, 801, 557, 296, 492, 498, 636, 509, 497, 569, 805, 986, 983, 694, 907, 511, 240, 462, 333, 894, 358, 553, 231, 756, 410, 781, 222, 496, 844, 714, 555, 194, 874, 64, 556, 92, 160, 886, 621, 877, 27, 977, 630, 425, 193, 769, 173, 125, 405, 433, 878, 312, 239, 46, 225, 97, 236, 60, 824, 399, 344, 634, 966, 918, 443, 812, 690, 131, 850, 937, 811, 0, 19, 606, 306, 866, 360, 596, 423, 887, 55, 290, 926, 899, 842, 301, 541, 202, 400, 220, 201, 349, 416, 949, 442, 523, 65, 943, 951, 17, 263, 258, 294, 973, 520, 238, 394, 139, 990, 52, 792, 346, 183, 661, 997, 933, 771, 832, 8, 45, 743, 465, 167, 515, 129, 788, 671, 906, 402, 853, 939, 539, 124, 768, 262, 172, 470, 562, 163, 825, 619, 736, 483, 412, 610, 617, 537, 713, 942, 482, 813, 273}

Returns: 1000
{717, 428, 555, 880, 932, 68, 134, 893, 562, 530, 633, 849, 76, 569, 287, 599, 776, 233, 247, 124, 10, 765, 330, 501, 539, 579, 77, 70, 655, 154, 653, 995, 225, 545, 270, 955, 171, 527, 16, 17, 862, 718, 635, 322, 645, 272, 318, 463, 970, 166, 830, 309, 308, 637, 793, 861, 325, 331, 221, 248, 453, 804, 422, 663, 489, 962, 99, 691, 212, 790, 229, 41, 901, 421, 688, 766, 250, 706, 940, 42, 769, 789, 507, 55, 353, 924, 524, 548, 621, 284, 81, 647, 173, 546, 242, 742, 787, 745, 587, 50, 986, 333, 209, 311, 263, 892, 43, 577, 517, 312, 487, 83, 434, 730, 952, 963, 116, 410, 686, 622, 552, 412, 110, 863, 931, 290, 810, 407, 37, 669, 490, 538, 145, 106, 271, 825, 377, 224, 415, 156, 356, 227, 384, 606, 208, 959, 675, 750, 388, 814, 600, 426, 237, 394, 612, 264, 448, 792, 719, 72, 695, 927, 837, 732, 752, 492, 542, 306, 378, 398, 299, 884, 491, 486, 705, 285, 601, 897, 357, 24, 446, 634, 121, 791, 474, 954, 246, 918, 295, 147, 367, 851, 31, 944, 874, 869, 767, 40, 982, 268, 920, 38, 190, 505, 395, 119, 256, 983, 114, 326, 676, 87, 953, 143, 853, 67, 935, 581, 456, 946, 818, 476, 389, 175, 138, 870, 460, 111, 497, 455, 829, 327, 604, 127, 727, 101, 19, 847, 435, 69, 708, 181, 117, 255, 23, 213, 12, 779, 942, 467, 39, 85, 192, 971, 153, 933, 520, 845, 316, 47, 885, 981, 859, 360, 834, 782, 514, 536, 58, 929, 816, 157, 511, 323, 605, 651, 234, 140, 526, 203, 211, 509, 475, 305, 217, 773, 966, 481, 609, 52, 310, 950, 344, 176, 48, 654, 734, 454, 626, 997, 822, 240, 196, 137, 485, 504, 763, 649, 881, 278, 712, 584, 420, 592, 915, 632, 304, 770, 329, 216, 972, 913, 798, 912, 521, 525, 252, 628, 630, 123, 205, 18, 936, 315, 128, 891, 34, 343, 502, 226, 71, 559, 443, 917, 336, 91, 450, 56, 831, 996, 206, 839, 298, 664, 873, 631, 73, 905, 840, 302, 238, 947, 808, 895, 109, 425, 802, 160, 759, 354, 370, 969, 78, 846, 624, 956, 934, 994, 805, 409, 340, 437, 139, 276, 320, 565, 44, 703, 249, 797, 303, 690, 149, 761, 185, 537, 3, 713, 991, 857, 811, 104, 374, 819, 132, 685, 843, 186, 510, 644, 15, 961, 283, 795, 977, 172, 948, 914, 760, 775, 928, 607, 245, 472, 51, 352, 292, 194, 269, 100, 762, 652, 967, 258, 251, 383, 27, 724, 702, 679, 168, 165, 973, 786, 796, 570, 369, 427, 155, 674, 781, 826, 265, 464, 355, 738, 20, 187, 214, 823, 174, 820, 61, 578, 4, 195, 447, 683, 371, 693, 549, 97, 74, 63, 964, 182, 146, 424, 430, 625, 709, 466, 979, 62, 470, 53, 515, 590, 699, 650, 13, 560, 411, 707, 380, 938, 602, 362, 836, 235, 508, 92, 561, 642, 882, 449, 660, 439, 0, 288, 294, 484, 784, 358, 387, 586, 680, 720, 670, 59, 335, 144, 280, 161, 860, 381, 854, 89, 361, 984, 444, 385, 598, 623, 886, 553, 890, 741, 864, 66, 620, 618, 583, 747, 710, 8, 480, 512, 673, 243, 850, 158, 399, 57, 432, 75, 540, 554, 376, 164, 54, 563, 451, 900, 528, 614, 568, 574, 871, 200, 910, 64, 949, 479, 36, 855, 5, 992, 379, 232, 661, 768, 725, 337, 414, 591, 575, 382, 469, 498, 939, 21, 894, 721, 391, 993, 496, 236, 646, 183, 596, 899, 461, 230, 80, 300, 756, 347, 262, 531, 807, 774, 976, 698, 408, 406, 184, 904, 120, 350, 827, 636, 867, 274, 566, 748, 821, 307, 665, 957, 125, 603, 639, 363, 919, 737, 888, 334, 616, 522, 49, 506, 701, 858, 222, 945, 459, 429, 402, 844, 433, 739, 418, 219, 25, 60, 199, 731, 722, 687, 277, 167, 958, 436, 179, 282, 493, 832, 462, 573, 783, 503, 923, 442, 169, 341, 714, 523, 342, 641, 824, 488, 445, 876, 571, 777, 772, 666, 937, 254, 180, 806, 220, 152, 400, 812, 841, 852, 711, 619, 188, 142, 926, 275, 259, 22, 88, 835, 794, 273, 903, 595, 697, 365, 700, 815, 417, 785, 659, 373, 751, 339, 988, 978, 321, 118, 393, 723, 951, 458, 148, 267, 204, 281, 94, 557, 817, 223, 215, 419, 974, 397, 368, 533, 544, 122, 585, 7, 82, 261, 532, 558, 178, 744, 348, 613, 26, 202, 32, 749, 887, 289, 753, 965, 519, 317, 556, 191, 351, 423, 564, 668, 684, 457, 696, 980, 79, 375, 529, 112, 740, 477, 241, 291, 550, 878, 640, 1, 643, 883, 879, 30, 990, 589, 257, 286, 135, 500, 45, 989, 9, 788, 729, 682, 6, 728, 975, 416, 588, 483, 909, 671, 662, 471, 324, 473, 534, 129, 898, 293, 726, 667, 648, 162, 755, 611, 253, 207, 985, 627, 133, 108, 799, 332, 801, 46, 716, 401, 386, 107, 113, 201, 733, 736, 866, 594, 14, 692, 629, 877, 543, 296, 130, 65, 516, 482, 372, 813, 131, 757, 95, 392, 689, 758, 228, 902, 35, 968, 580, 896, 941, 231, 906, 907, 848, 29, 865, 875, 987, 478, 656, 198, 98, 809, 33, 908, 672, 610, 572, 266, 90, 998, 440, 105, 800, 96, 735, 921, 103, 999, 244, 413, 84, 608, 778, 364, 911, 593, 960, 551, 218, 658, 86, 657, 136, 159, 319, 170, 922, 518, 465, 868, 441, 279, 833, 681, 126, 150, 189, 141, 930, 764, 438, 541, 404, 260, 163, 828, 916, 678, 11, 297, 617, 494, 151, 210, 366, 694, 803, 925, 597, 405, 239, 495, 390, 93, 547, 452, 780, 2, 338, 359, 771, 177, 535, 431, 403, 314, 856, 872, 567, 349, 513, 301, 345, 576, 499, 943, 115, 838, 328, 102, 28, 582, 468, 638, 313, 193, 889, 754, 704, 677, 615, 396, 715, 746, 842, 197, 743, 346}

{282, 571, 444, 119, 67, 931, 865, 106, 437, 469, 366, 150, 923, 430, 712, 400, 223, 766, 752, 875, 989, 234, 669, 498, 460, 420, 922, 929, 344, 845, 346, 4, 774, 454, 729, 44, 828, 472, 983, 982, 137, 281, 364, 677, 354, 727, 681, 536, 29, 833, 169, 690, 691, 362, 206, 138, 674, 668, 778, 751, 546, 195, 577, 336, 510, 37, 900, 308, 787, 209, 770, 958, 98, 578, 311, 233, 749, 293, 59, 957, 230, 210, 492, 944, 646, 75, 475, 451, 378, 715, 918, 352, 826, 453, 757, 257, 212, 254, 412, 949, 13, 666, 790, 688, 736, 107, 956, 422, 482, 687, 512, 916, 565, 269, 47, 36, 883, 589, 313, 377, 447, 587, 889, 136, 68, 709, 189, 592, 962, 330, 509, 461, 854, 893, 728, 174, 622, 775, 584, 843, 643, 772, 615, 393, 791, 40, 324, 249, 611, 185, 399, 573, 762, 605, 387, 735, 551, 207, 280, 927, 304, 72, 162, 267, 247, 507, 457, 693, 621, 601, 700, 115, 508, 513, 294, 714, 398, 102, 642, 975, 553, 365, 878, 208, 525, 45, 753, 81, 704, 852, 632, 148, 968, 55, 125, 130, 232, 959, 17, 731, 79, 961, 809, 494, 604, 880, 743, 16, 885, 673, 323, 912, 46, 856, 146, 932, 64, 418, 543, 53, 181, 523, 610, 824, 861, 129, 539, 888, 502, 544, 170, 672, 395, 872, 272, 898, 980, 152, 564, 930, 291, 818, 882, 744, 976, 786, 987, 220, 57, 532, 960, 914, 807, 28, 846, 66, 479, 154, 683, 952, 114, 18, 140, 639, 165, 217, 485, 463, 941, 70, 183, 842, 488, 676, 394, 348, 765, 859, 473, 796, 788, 490, 524, 694, 782, 226, 33, 518, 390, 947, 689, 49, 655, 823, 951, 345, 265, 545, 373, 2, 177, 759, 803, 862, 514, 495, 236, 350, 118, 721, 287, 415, 579, 407, 84, 367, 695, 229, 670, 783, 27, 86, 201, 87, 478, 474, 747, 371, 369, 876, 794, 981, 63, 684, 871, 108, 965, 656, 497, 773, 928, 440, 556, 82, 663, 908, 549, 943, 168, 3, 793, 160, 701, 335, 126, 368, 926, 94, 159, 697, 761, 52, 191, 104, 890, 574, 197, 839, 240, 645, 629, 30, 921, 153, 375, 43, 65, 5, 194, 590, 659, 562, 860, 723, 679, 434, 955, 296, 750, 202, 696, 309, 850, 238, 814, 462, 996, 286, 8, 142, 188, 895, 625, 180, 867, 314, 156, 813, 489, 355, 984, 38, 716, 204, 22, 827, 51, 85, 239, 224, 71, 392, 754, 527, 948, 647, 707, 805, 730, 899, 237, 347, 32, 741, 748, 616, 972, 275, 297, 320, 831, 834, 26, 213, 203, 429, 630, 572, 844, 325, 218, 173, 734, 535, 644, 261, 979, 812, 785, 176, 825, 179, 938, 421, 995, 804, 552, 316, 628, 306, 450, 902, 925, 936, 35, 817, 853, 575, 569, 374, 290, 533, 20, 937, 529, 946, 484, 409, 300, 349, 986, 439, 588, 292, 619, 61, 397, 637, 163, 764, 491, 907, 438, 357, 117, 550, 339, 560, 999, 711, 705, 515, 215, 641, 612, 413, 319, 279, 329, 940, 664, 855, 719, 838, 139, 618, 145, 910, 638, 15, 555, 614, 401, 376, 113, 446, 109, 258, 135, 933, 379, 381, 416, 252, 289, 991, 519, 487, 326, 756, 149, 841, 600, 942, 567, 924, 459, 445, 623, 835, 945, 436, 548, 99, 471, 385, 431, 425, 128, 799, 89, 935, 50, 520, 963, 144, 994, 7, 620, 767, 338, 231, 274, 662, 585, 408, 424, 617, 530, 501, 60, 978, 105, 278, 608, 6, 503, 763, 353, 816, 403, 100, 538, 769, 919, 699, 243, 652, 737, 468, 192, 225, 23, 301, 591, 593, 815, 95, 879, 649, 172, 363, 132, 725, 433, 251, 178, 692, 334, 42, 874, 396, 360, 636, 80, 262, 111, 665, 383, 477, 950, 493, 298, 141, 777, 54, 540, 570, 597, 155, 566, 260, 581, 780, 974, 939, 800, 268, 277, 312, 722, 832, 41, 563, 820, 717, 506, 167, 537, 426, 216, 496, 76, 557, 830, 658, 285, 476, 657, 358, 175, 511, 554, 123, 428, 222, 227, 333, 62, 745, 819, 193, 779, 847, 599, 187, 158, 147, 288, 380, 811, 857, 73, 724, 740, 977, 911, 164, 205, 726, 96, 404, 302, 634, 299, 184, 582, 214, 340, 626, 248, 660, 11, 21, 678, 881, 606, 276, 48, 541, 851, 732, 795, 718, 905, 442, 182, 776, 784, 580, 25, 602, 631, 466, 455, 877, 414, 992, 917, 738, 467, 441, 821, 255, 651, 386, 973, 797, 967, 250, 112, 710, 246, 34, 480, 682, 443, 808, 648, 576, 435, 331, 315, 542, 303, 19, 920, 624, 470, 887, 259, 522, 758, 708, 449, 121, 359, 998, 356, 116, 120, 969, 9, 410, 742, 713, 864, 499, 954, 10, 990, 211, 270, 317, 993, 271, 24, 583, 411, 516, 90, 328, 337, 528, 675, 526, 465, 870, 101, 706, 273, 332, 351, 837, 244, 388, 746, 792, 14, 372, 866, 891, 200, 667, 198, 953, 283, 598, 613, 892, 886, 798, 266, 263, 133, 405, 985, 307, 370, 122, 456, 703, 869, 934, 483, 517, 627, 186, 868, 242, 904, 607, 310, 241, 771, 97, 964, 31, 419, 103, 58, 768, 93, 92, 151, 970, 134, 124, 12, 521, 343, 801, 901, 190, 966, 91, 327, 389, 427, 733, 909, 1, 559, 894, 199, 903, 264, 78, 896, 0, 755, 586, 915, 391, 221, 635, 88, 406, 39, 448, 781, 341, 913, 342, 863, 840, 680, 829, 77, 481, 534, 131, 558, 720, 166, 318, 873, 849, 810, 858, 69, 235, 561, 458, 595, 739, 836, 171, 83, 321, 988, 702, 382, 505, 848, 789, 633, 305, 196, 74, 402, 594, 760, 504, 609, 906, 452, 547, 219, 997, 661, 640, 228, 822, 464, 568, 596, 685, 143, 127, 432, 650, 486, 698, 654, 423, 500, 56, 884, 161, 671, 897, 971, 417, 531, 361, 686, 806, 110, 245, 295, 322, 384, 603, 284, 253, 157, 802, 256, 653}

Returns: 1000
{491, 585, 531, 812, 582, 550, 476, 950, 919, 805, 21, 175, 50, 51, 965, 78, 232, 983, 832, 364, 618, 37, 124, 466, 477, 685, 795, 151, 212, 183, 444, 386, 715, 144, 548, 626, 493, 424, 355, 2, 764, 230, 271, 101, 593, 913, 486, 739, 394, 690, 80, 448, 577, 703, 11, 567, 615, 475, 583, 336, 700, 741, 879, 279, 5, 405, 896, 421, 506, 818, 323, 308, 622, 132, 103, 83, 224, 120, 986, 914, 68, 614, 82, 206, 140, 360, 7, 510, 239, 464, 480, 240, 211, 185, 956, 396, 552, 465, 273, 390, 304, 759, 801, 761, 31, 686, 26, 671, 36, 84, 264, 661, 936, 766, 362, 158, 321, 916, 575, 102, 612, 361, 782, 726, 568, 794, 121, 261, 399, 210, 523, 123, 226, 729, 173, 428, 114, 29, 15, 628, 641, 549, 125, 250, 380, 825, 979, 681, 234, 704, 162, 662, 346, 180, 392, 527, 912, 598, 926, 74, 16, 462, 711, 247, 650, 792, 674, 60, 287, 889, 992, 19, 62, 391, 981, 625, 243, 478, 403, 887, 359, 847, 404, 751, 76, 442, 136, 664, 816, 105, 43, 48, 959, 509, 184, 12, 611, 717, 176, 436, 284, 352, 228, 723, 528, 906, 844, 177, 858, 813, 680, 569, 496, 524, 249, 22, 665, 370, 776, 406, 356, 699, 354, 368, 538, 383, 772, 502, 429, 535, 749, 629, 54, 870, 634, 272, 242, 783, 145, 194, 471, 998, 738, 267, 458, 843, 850, 898, 190, 788, 960, 17, 137, 266, 53, 204, 350, 938, 747, 954, 494, 236, 517, 388, 174, 159, 571, 977, 848, 987, 292, 503, 460, 951, 869, 768, 347, 639, 925, 10, 27, 566, 514, 669, 649, 24, 318, 745, 0, 413, 231, 70, 666, 811, 311, 258, 169, 122, 810, 30, 459, 170, 150, 941, 6, 606, 696, 636, 842, 894, 767, 495, 56, 161, 993, 270, 447, 497, 414, 975, 668, 687, 819, 728, 849, 578, 39, 345, 874, 222, 1, 189, 853, 99, 312, 817, 328, 446, 133, 787, 678, 167, 426, 918, 376, 143, 20, 69, 921, 66, 554, 369, 456, 540, 218, 856, 999, 551, 967, 984, 677, 41, 452, 508, 713, 657, 923, 488, 742, 305, 707, 340, 750, 963, 646, 366, 735, 770, 820, 73, 420, 689, 603, 55, 980, 155, 964, 841, 863, 542, 154, 372, 886, 561, 942, 939, 882, 969, 3, 862, 451, 559, 382, 168, 42, 791, 824, 633, 474, 4, 225, 784, 613, 316, 98, 164, 433, 748, 299, 377, 393, 835, 907, 467, 52, 900, 620, 187, 564, 104, 208, 445, 371, 389, 754, 450, 252, 670, 397, 119, 831, 885, 309, 785, 512, 822, 616, 733, 88, 229, 897, 468, 504, 597, 233, 718, 449, 484, 796, 116, 498, 283, 890, 880, 607, 8, 705, 893, 148, 732, 197, 407, 599, 245, 605, 587, 313, 961, 803, 658, 108, 888, 624, 970, 997, 594, 972, 778, 833, 199, 14, 673, 786, 469, 694, 619, 808, 946, 627, 363, 727, 293, 357, 221, 744, 823, 691, 59, 929, 867, 859, 630, 781, 338, 675, 310, 877, 422, 635, 769, 988, 973, 302, 216, 536, 481, 588, 930, 385, 765, 25, 259, 860, 34, 333, 558, 110, 395, 667, 35, 544, 743, 762, 719, 373, 193, 637, 903, 255, 534, 128, 590, 337, 87, 563, 600, 771, 47, 126, 663, 679, 800, 134, 501, 93, 40, 278, 253, 492, 274, 172, 94, 205, 327, 533, 692, 65, 773, 935, 349, 298, 543, 911, 520, 38, 730, 953, 227, 631, 714, 427, 562, 23, 276, 580, 573, 827, 623, 985, 307, 295, 201, 821, 757, 322, 219, 701, 684, 731, 443, 85, 574, 487, 609, 472, 288, 181, 58, 291, 419, 166, 884, 978, 482, 698, 592, 640, 864, 131, 191, 654, 868, 425, 358, 470, 952, 409, 265, 485, 13, 948, 736, 329, 500, 522, 676, 297, 846, 955, 560, 655, 113, 922, 269, 565, 807, 852, 706, 209, 866, 379, 968, 752, 760, 344, 285, 49, 857, 90, 213, 178, 845, 156, 67, 645, 238, 353, 207, 147, 525, 553, 92, 401, 203, 153, 688, 339, 621, 617, 604, 163, 415, 515, 579, 840, 454, 235, 958, 804, 660, 909, 695, 44, 152, 290, 277, 319, 780, 855, 241, 586, 672, 789, 722, 519, 806, 756, 378, 899, 79, 982, 798, 570, 647, 656, 400, 716, 63, 891, 418, 933, 455, 895, 483, 398, 644, 479, 944, 408, 146, 473, 556, 815, 910, 990, 724, 202, 430, 375, 490, 702, 417, 139, 130, 836, 994, 872, 934, 976, 431, 734, 693, 129, 861, 651, 435, 883, 638, 924, 648, 434, 214, 547, 256, 141, 330, 384, 118, 878, 72, 682, 303, 244, 943, 381, 115, 149, 881, 95, 989, 461, 182, 289, 61, 45, 315, 296, 286, 871, 917, 71, 112, 710, 165, 263, 335, 100, 200, 837, 920, 18, 57, 437, 826, 106, 268, 708, 196, 581, 892, 342, 440, 838, 294, 814, 854, 412, 809, 262, 518, 602, 348, 300, 915, 457, 86, 215, 432, 171, 365, 489, 530, 755, 908, 192, 411, 306, 799, 526, 949, 223, 546, 721, 301, 217, 511, 516, 331, 260, 931, 928, 774, 901, 275, 643, 572, 32, 463, 416, 246, 697, 257, 9, 775, 712, 513, 179, 753, 763, 505, 341, 683, 829, 325, 499, 991, 387, 725, 46, 248, 589, 438, 374, 790, 317, 802, 332, 746, 828, 160, 927, 423, 91, 737, 758, 33, 576, 839, 254, 326, 876, 439, 653, 351, 851, 410, 198, 652, 971, 902, 932, 521, 96, 109, 111, 75, 966, 834, 507, 865, 957, 138, 974, 545, 97, 453, 64, 186, 601, 596, 251, 905, 157, 945, 709, 127, 610, 830, 793, 557, 281, 81, 188, 532, 529, 107, 937, 779, 642, 77, 280, 996, 584, 89, 904, 875, 324, 740, 995, 320, 608, 777, 797, 142, 282, 135, 539, 117, 402, 940, 334, 555, 441, 195, 659, 367, 591, 343, 237, 314, 720, 28, 947, 541, 632, 873, 595, 962, 220, 537}

{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

Returns: 2
{602, 100, 473, 402, 171, 406, 418, 54, 135, 17, 722, 167, 762, 443, 80, 231, 161, 28, 687, 134, 486, 412, 472, 75, 86, 113, 579, 0, 321, 799, 573, 78, 446, 702, 734, 258, 796, 183, 528, 120, 590, 323, 79, 729, 747, 29, 82, 196, 222, 38, 743, 564, 770, 7, 637, 282, 164, 662, 567, 94, 129, 730, 56, 524, 663, 541, 145, 794, 408, 463, 20, 193, 692, 47, 624, 274, 779, 315, 535, 230, 428, 263, 262, 293, 640, 715, 350, 661, 20, 235, 549, 672, 30, 546, 683, 89, 749, 660, 462, 540, 80, 495, 785, 148, 647, 600, 681, 745, 644, 295, 774, 129, 22, 449, 313, 580, 642, 78, 14, 249, 191, 666, 114, 701, 180, 452, 102, 709, 47, 678, 385, 374, 395, 582, 142, 12, 658, 70, 389, 90, 509, 690, 597, 77, 115, 75, 37, 361, 160, 643, 335, 445, 18, 146, 166, 792, 94, 608, 753, 556, 351, 415, 513, 267, 376, 266, 69, 778, 119, 700, 309, 347, 44, 704, 384, 10, 148, 96, 278, 181, 630, 708, 639, 436, 152, 574, 521, 131, 87, 377, 107, 304, 768, 93, 416, 352, 439, 625, 169, 529, 312, 232, 130, 777, 717, 212, 365, 554, 623, 35, 126, 271, 652, 340, 54, 128, 83, 5, 57, 120, 736, 536, 30, 184, 421, 23, 283, 155, 342, 506, 721, 244, 611, 67, 96, 766, 89, 725, 326, 710, 234, 144, 237, 775, 43, 58, 106, 613, 366, 204, 346, 589, 533, 519, 475, 631, 24, 732, 66, 308, 279, 63, 515, 390, 3, 51, 598, 697, 786, 316, 438, 8, 398, 548, 531, 684, 392, 0, 291, 118, 560, 18, 638, 617, 664, 671, 141, 425, 302, 123, 444, 103, 146, 12, 294, 712, 287, 561, 387, 571, 123, 108, 682, 15, 761, 70, 214, 91, 60, 85, 59, 693, 113, 437, 298, 610, 170, 265, 604, 675, 68, 145, 751, 797, 789, 484, 695, 426, 36, 200, 32, 147, 52, 742, 491, 53, 400, 555, 489, 127, 557, 493, 105, 344, 207, 46, 124, 646, 218, 517, 507, 175, 125, 1, 31, 464, 248, 215, 497, 522, 37, 726, 67, 764, 10, 570, 636, 33, 330, 456, 337, 187, 21, 336, 698, 99, 81, 432, 738, 136, 98, 118, 255, 364, 343, 112, 737, 27, 419, 25, 659, 790, 440, 66, 64, 52, 72, 151, 414, 260, 121, 420, 716, 543, 603, 301, 242, 127, 122, 48, 550, 355, 348, 538, 516, 150, 73, 627, 469, 257, 328, 594, 29, 91, 487, 455, 149, 290, 616, 277, 539, 514, 261, 224, 17, 6, 99, 492, 503, 132, 370, 689, 583, 771, 85, 208, 500, 498, 4, 276, 5, 275, 746, 606, 645, 479, 14, 318, 86, 451, 339, 211, 485, 718, 651, 95, 739, 654, 239, 733, 19, 714, 112, 331, 42, 250, 88, 665, 25, 394, 526, 268, 504, 300, 371, 39, 353, 523, 156, 15, 4, 338, 587, 45, 128, 49, 273, 755, 227, 585, 788, 209, 45, 97, 72, 632, 417, 393, 241, 77, 213, 13, 677, 23, 750, 363, 357, 382, 111, 685, 358, 482, 195, 189, 126, 411, 1, 588, 772, 101, 333, 64, 34, 236, 270, 3, 609, 620, 488, 505, 559, 28, 434, 525, 354, 758, 680, 130, 480, 670, 494, 229, 728, 404, 65, 458, 307, 110, 157, 46, 186, 545, 674, 198, 168, 465, 11, 760, 82, 783, 223, 618, 98, 137, 520, 537, 34, 791, 253, 688, 707, 104, 599, 246, 368, 359, 13, 591, 314, 133, 401, 216, 669, 423, 143, 592, 649, 9, 87, 8, 448, 2, 71, 511, 105, 562, 285, 101, 103, 95, 501, 391, 71, 84, 173, 474, 16, 16, 102, 622, 341, 76, 601, 754, 284, 49, 143, 79, 2, 179, 288, 759, 251, 334, 190, 134, 132, 433, 641, 83, 51, 457, 81, 33, 431, 410, 6, 621, 55, 140, 324, 577, 727, 650, 776, 633, 720, 119, 247, 379, 76, 9, 109, 483, 202, 711, 668, 534, 565, 296, 568, 372, 381, 378, 798, 628, 311, 744, 723, 576, 676, 60, 252, 706, 108, 460, 329, 55, 219, 272, 139, 178, 259, 399, 719, 596, 367, 319, 147, 306, 162, 553, 782, 686, 125, 205, 159, 634, 43, 185, 572, 233, 471, 566, 36, 116, 407, 490, 667, 413, 409, 62, 544, 135, 131, 757, 653, 197, 619, 767, 92, 453, 605, 299, 74, 405, 512, 424, 787, 752, 615, 383, 703, 61, 141, 422, 349, 206, 92, 542, 201, 532, 595, 476, 626, 461, 713, 32, 656, 133, 356, 467, 63, 629, 22, 369, 26, 107, 614, 635, 325, 110, 153, 286, 657, 558, 121, 518, 586, 111, 547, 165, 362, 192, 468, 765, 499, 375, 84, 396, 39, 220, 174, 563, 303, 269, 38, 243, 264, 310, 139, 441, 11, 48, 332, 655, 254, 569, 327, 117, 158, 221, 124, 435, 496, 584, 781, 114, 289, 142, 88, 575, 773, 679, 122, 793, 50, 552, 106, 210, 748, 188, 459, 56, 322, 182, 699, 137, 527, 225, 502, 41, 176, 217, 27, 21, 256, 203, 430, 73, 240, 388, 116, 61, 24, 380, 510, 735, 741, 593, 117, 245, 360, 386, 57, 530, 68, 373, 470, 508, 705, 740, 345, 154, 177, 317, 35, 74, 447, 477, 62, 450, 763, 795, 194, 100, 578, 163, 429, 780, 199, 93, 149, 397, 673, 172, 104, 109, 115, 90, 696, 7, 756, 281, 607, 40, 648, 226, 297, 427, 478, 26, 481, 305, 140, 724, 97, 731, 691, 40, 612, 65, 44, 53, 19, 59, 41, 42, 136, 551, 454, 769, 466, 320, 784, 442, 138, 144, 403, 694, 292, 238, 228, 280, 581, 69, 138, 31, 50, 58}

{602, 801, 473, 402, 171, 406, 418, 847, 766, 17, 722, 167, 762, 443, 80, 231, 161, 873, 687, 767, 486, 412, 472, 826, 815, 788, 579, 901, 321, 799, 573, 78, 446, 702, 734, 258, 796, 183, 528, 781, 590, 323, 822, 729, 747, 29, 82, 196, 222, 863, 743, 564, 770, 894, 637, 282, 164, 662, 567, 94, 772, 730, 845, 524, 663, 541, 145, 794, 408, 463, 20, 193, 692, 854, 624, 274, 779, 315, 535, 230, 428, 263, 262, 293, 640, 715, 350, 661, 881, 235, 549, 672, 30, 546, 683, 89, 749, 660, 462, 540, 821, 495, 785, 753, 647, 600, 681, 745, 644, 295, 774, 129, 22, 449, 313, 580, 642, 823, 887, 249, 191, 666, 787, 701, 180, 452, 799, 709, 47, 678, 385, 374, 395, 582, 759, 889, 658, 70, 389, 90, 509, 690, 597, 824, 786, 75, 37, 361, 160, 643, 335, 445, 18, 146, 166, 792, 807, 608, 753, 556, 351, 415, 513, 267, 376, 266, 69, 778, 119, 700, 309, 347, 44, 704, 384, 10, 148, 96, 278, 181, 630, 708, 639, 436, 152, 574, 521, 131, 814, 377, 107, 304, 768, 93, 416, 352, 439, 625, 169, 529, 312, 232, 771, 777, 717, 212, 365, 554, 623, 35, 775, 271, 652, 340, 54, 128, 83, 5, 844, 120, 736, 536, 871, 184, 421, 23, 283, 155, 342, 506, 721, 244, 611, 67, 805, 766, 812, 725, 326, 710, 234, 144, 237, 775, 858, 843, 795, 613, 366, 204, 346, 589, 533, 519, 475, 631, 877, 732, 66, 308, 279, 838, 515, 390, 898, 850, 598, 697, 786, 316, 438, 893, 398, 548, 531, 684, 392, 0, 291, 118, 560, 883, 638, 617, 664, 671, 760, 425, 302, 778, 444, 798, 755, 12, 294, 712, 287, 561, 387, 571, 123, 108, 682, 886, 761, 831, 214, 91, 841, 85, 59, 693, 113, 437, 298, 610, 170, 265, 604, 675, 68, 756, 751, 797, 789, 484, 695, 426, 865, 200, 869, 147, 52, 742, 491, 53, 400, 555, 489, 774, 557, 493, 105, 344, 207, 46, 124, 646, 218, 517, 507, 175, 125, 900, 31, 464, 248, 215, 497, 522, 864, 726, 834, 764, 891, 570, 636, 868, 330, 456, 337, 187, 21, 336, 698, 802, 81, 432, 738, 765, 98, 783, 255, 364, 343, 112, 737, 27, 419, 876, 659, 790, 440, 835, 64, 849, 829, 151, 414, 260, 780, 420, 716, 543, 603, 301, 242, 127, 779, 48, 550, 355, 348, 538, 516, 150, 828, 627, 469, 257, 328, 594, 872, 810, 487, 455, 149, 290, 616, 277, 539, 514, 261, 224, 884, 6, 99, 492, 503, 769, 370, 689, 583, 771, 816, 208, 500, 498, 897, 276, 896, 275, 746, 606, 645, 479, 14, 318, 86, 451, 339, 211, 485, 718, 651, 806, 739, 654, 239, 733, 19, 714, 789, 331, 42, 250, 813, 665, 25, 394, 526, 268, 504, 300, 371, 39, 353, 523, 156, 15, 4, 338, 587, 45, 773, 852, 273, 755, 227, 585, 788, 209, 856, 804, 72, 632, 417, 393, 241, 77, 213, 13, 677, 878, 750, 363, 357, 382, 790, 685, 358, 482, 195, 189, 126, 411, 1, 588, 772, 800, 333, 837, 34, 236, 270, 3, 609, 620, 488, 505, 559, 28, 434, 525, 354, 758, 680, 130, 480, 670, 494, 229, 728, 404, 65, 458, 307, 110, 157, 855, 186, 545, 674, 198, 168, 465, 11, 760, 819, 783, 223, 618, 803, 137, 520, 537, 867, 791, 253, 688, 707, 797, 599, 246, 368, 359, 888, 591, 314, 768, 401, 216, 669, 423, 143, 592, 649, 892, 87, 8, 448, 2, 830, 511, 796, 562, 285, 101, 103, 95, 501, 391, 71, 817, 173, 474, 885, 16, 102, 622, 341, 825, 601, 754, 284, 49, 758, 79, 899, 179, 288, 759, 251, 334, 190, 134, 132, 433, 641, 818, 51, 457, 820, 33, 431, 410, 895, 621, 846, 140, 324, 577, 727, 650, 776, 633, 720, 782, 247, 379, 76, 9, 109, 483, 202, 711, 668, 534, 565, 296, 568, 372, 381, 378, 798, 628, 311, 744, 723, 576, 676, 60, 252, 706, 793, 460, 329, 55, 219, 272, 139, 178, 259, 399, 719, 596, 367, 319, 754, 306, 162, 553, 782, 686, 776, 205, 159, 634, 43, 185, 572, 233, 471, 566, 36, 785, 407, 490, 667, 413, 409, 839, 544, 135, 770, 757, 653, 197, 619, 767, 92, 453, 605, 299, 74, 405, 512, 424, 787, 752, 615, 383, 703, 61, 141, 422, 349, 206, 809, 542, 201, 532, 595, 476, 626, 461, 713, 32, 656, 133, 356, 467, 63, 629, 879, 369, 26, 794, 614, 635, 325, 791, 153, 286, 657, 558, 121, 518, 586, 111, 547, 165, 362, 192, 468, 765, 499, 375, 84, 396, 862, 220, 174, 563, 303, 269, 38, 243, 264, 310, 762, 441, 890, 853, 332, 655, 254, 569, 327, 784, 158, 221, 777, 435, 496, 584, 781, 114, 289, 142, 88, 575, 773, 679, 122, 793, 851, 552, 106, 210, 748, 188, 459, 56, 322, 182, 699, 764, 527, 225, 502, 41, 176, 217, 874, 880, 256, 203, 430, 73, 240, 388, 116, 840, 24, 380, 510, 735, 741, 593, 117, 245, 360, 386, 57, 530, 833, 373, 470, 508, 705, 740, 345, 154, 177, 317, 866, 827, 447, 477, 62, 450, 763, 795, 194, 100, 578, 163, 429, 780, 199, 808, 752, 397, 673, 172, 104, 792, 115, 811, 696, 7, 756, 281, 607, 861, 648, 226, 297, 427, 478, 875, 481, 305, 761, 724, 97, 731, 691, 40, 612, 836, 857, 848, 882, 842, 860, 859, 136, 551, 454, 769, 466, 320, 784, 442, 763, 757, 403, 694, 292, 238, 228, 280, 581, 832, 138, 870, 50, 58}

Returns: 950
{30, 42, 19, 44, 47, 43, 18, 25, 28, 46, 43, 23, 26, 35, 36, 28, 51, 44, 44, 24, 22, 33, 38, 48, 29, 30, 53, 30, 40, 33, 43, 57, 21, 35, 53, 16, 27, 39, 12, 10, 22, 9, 29, 29, 45, 33, 25, 32, 37, 14, 6, 44, 27, 43, 42, 25, 5, 18, 38, 33, 37, 25, 34, 30, 23, 29, 35, 27, 24, 19, 45, 52, 37, 51, 44, 33, 53, 29, 41, 16, 35, 13, 18, 56, 25, 30, 24, 56, 19, 32, 54, 14, 13, 27, 6, 34, 40, 35, 36, 33, 31, 59, 21, 14, 40, 26, 50, 10, 36, 17, 41, 15, 33, 35, 35, 4, 4, 37, 28, 44, 7, 35, 33, 8, 38, 26, 19, 9, 10, 24, 32, 22, 21, 53, 30, 32, 34, 13, 16, 36, 38, 14, 45, 40, 23, 31, 33, 36, 16, 21, 43, 15, 27, 40, 22, 31, 19, 44, 44, 30, 41, 43, 46, 53, 21, 9, 9, 21, 30, 39, 28, 17, 43, 39, 51, 27, 37, 37, 8, 35, 58, 47, 18, 12, 35, 37, 35, 16, 52, 42, 25, 45, 47, 31, 28, 17, 5, 34, 37, 19, 46, 16, 57, 40, 31, 20, 45, 26, 17, 60, 36, 10, 20, 15, 42, 44, 37, 50, 6, 26, 37, 47, 40, 27, 7, 27, 34, 30, 2, 30, 40, 1, 6, 28, 31, 12, 31, 50, 42, 20, 29, 34, 26, 29, 30, 13, 56, 26, 52, 50, 33, 41, 28, 32, 41, 41, 39, 29, 7, 32, 22, 25, 48, 28, 17, 32, 32, 37, 36, 28, 14, 31, 45, 39, 27, 18, 12, 3, 48, 16, 16, 22, 38, 27, 6, 36, 42, 25, 30, 15, 18, 24, 10, 18, 56, 46, 33, 38, 32, 35, 48, 38, 42, 29, 33, 24, 25, 29, 55, 34, 54, 47, 22, 23, 27, 40, 46, 4, 36, 16, 33, 8, 5, 15, 26, 24, 13, 40, 12, 40, 27, 21, 35, 26, 50, 52, 45, 34, 49, 45, 41, 26, 7, 33, 51, 6, 48, 29, 32, 24, 16, 23, 43, 39, 41, 31, 13, 11, 37, 33, 17, 39, 46, 17, 7, 33, 29, 21, 19, 31, 15, 27, 8, 21, 30, 17, 30, 25, 19, 31, 14, 46, 43, 39, 20, 5, 47, 39, 44, 30, 58, 41, 26, 23, 29, 3, 18, 37, 29, 45, 31, 36, 21, 21, 25, 42, 31, 10, 3, 33, 34, 46, 15, 44, 15, 14, 15, 28, 27, 48, 20, 28, 52, 57, 30, 22, 30, 42, 30, 22, 48, 46, 14, 35, 40, 33, 49, 41, 29, 16, 43, 40, 54, 45, 34, 41, 11, 44, 21, 16, 13, 35, 32, 11, 28, 36, 47, 49, 29, 9, 36, 32, 2, 34, 35, 36, 25, 45, 30, 38, 42, 23, 55, 5, 11, 22, 13, 21, 28, 24, 49, 41, 45, 13, 28, 9, 11, 32, 9, 21, 24, 20, 20, 35, 7, 35, 50, 25, 28, 18, 36, 50, 20, 12, 45, 12, 15, 39, 33, 37, 17, 53, 22, 26, 31, 36, 36, 18, 19, 55, 32, 31, 32, 35, 25, 51, 51, 43, 1, 54, 37, 51, 38, 17, 8, 37, 54, 26, 24, 54, 26, 24, 13, 29, 38, 33, 28, 48, 44, 31, 19, 53, 9, 22, 39, 19, 9, 8, 32, 17, 19, 36, 41, 22, 31, 8, 26, 22, 49, 48, 38, 20, 49, 49, 46, 27, 37, 40, 48, 35, 13, 20, 22, 21, 18, 50, 43, 29, 17, 10, 26, 37, 20, 20, 19, 20, 48, 55, 41, 24, 41, 29, 32, 42, 26, 22, 26, 38, 42, 34, 47, 44, 28, 25, 33, 18, 28, 34, 29, 16, 42, 40, 22, 46, 37, 42, 53, 2, 38, 45, 34, 47, 28, 30, 27, 50, 37, 38, 26, 16, 40, 29, 27, 33, 28, 19, 21, 47, 28, 38, 28, 38, 23, 9, 27, 19, 31, 18, 12, 23, 39, 6, 27, 34, 39, 23, 51, 32, 16, 38, 35, 45, 30, 36, 28, 25, 28, 30, 25, 29, 10, 47, 25, 17, 27, 40, 40, 7, 51, 18, 41, 43, 34, 26, 16, 26, 46, 16, 14, 24, 32, 30, 35, 22, 39, 47, 0, 23, 10, 21, 31, 34, 38, 25, 54, 23, 31, 18, 31, 17, 22, 37, 11, 27, 39, 43, 36, 11, 19, 27, 37, 42, 22, 21, 14, 11, 26, 27, 28, 34, 18, 28, 52, 25, 13, 22, 33, 29, 23, 25, 36, 28, 29, 34, 5, 12, 18, 32, 30, 30, 7, 43, 24, 38, 26, 11, 34, 43, 21, 30, 18, 19, 58, 23, 49, 15, 45, 24, 3, 36, 13, 26, 23, 47, 12, 36, 25, 50, 41, 39, 32, 12, 29, 20, 15, 32, 34, 31, 27, 22, 36, 26, 29, 39, 49, 48, 20, 37, 28, 27, 26, 4, 21, 14, 44, 23, 39, 35, 52, 23, 42, 33, 42, 34, 49, 38, 41, 44, 31, 39, 44, 50, 32, 13, 24, 34, 20, 15, 34, 14, 17, 31, 24, 24, 20, 28, 38, 20, 52, 35, 19, 10, 18, 29, 31, 39, 31, 32, 21, 17, 14, 51, 29, 23, 26, 24, 39, 31, 4, 14, 34, 36, 14, 35, 19, 21, 46, 32, 27, 12, 46, 20, 22, 33, 24, 17, 30, 23, 40, 15, 15, 55, 27, 52, 11, 40, 12, 41, 32, 27, 23, 46, 8, 37, 30, 23, 34, 23, 31, 19, 32, 15, 42, 34, 36, 25, 56, 29, 31, 25, 48, 8, 25, 55, 32, 20, 42, 41, 59, 30, 30, 24, 49, 33, 38, 49, 23, 33, 35, 57, 32, 24, 20, 38, 43, 24, 24, 47, 40, 33, 23, 10, 17, 31, 11, 39, 25, 43, 29, 11}

{492, 500, 505, 488, 505, 487, 502, 503, 508, 512, 497, 483, 480, 507, 516, 516, 507, 506, 482, 498, 488, 497, 494, 486, 529, 490, 491, 508, 512, 495, 511, 495, 481, 497, 495, 506, 485, 477, 506, 504, 492, 501, 487, 507, 513, 471, 511, 490, 481, 506, 506, 500, 511, 491, 492, 513, 495, 512, 480, 511, 485, 525, 500, 494, 517, 525, 493, 501, 482, 517, 483, 502, 505, 493, 502, 473, 497, 499, 491, 514, 473, 487, 490, 498, 493, 476, 480, 496, 497, 488, 502, 492, 509, 513, 504, 492, 484, 481, 522, 499, 499, 499, 487, 500, 508, 498, 490, 508, 476, 499, 501, 487, 491, 503, 475, 502, 504, 517, 490, 498, 499, 517, 493, 498, 506, 508, 499, 505, 490, 492, 508, 482, 519, 499, 486, 496, 512, 501, 494, 514, 492, 494, 501, 502, 487, 497, 515, 520, 500, 493, 499, 505, 479, 480, 522, 471, 511, 496, 490, 526, 507, 509, 496, 493, 495, 499, 497, 517, 516, 507, 484, 491, 485, 483, 489, 507, 477, 497, 500, 513, 496, 501, 484, 510, 489, 479, 523, 490, 496, 486, 489, 491, 495, 523, 522, 505, 497, 518, 507, 513, 494, 502, 501, 488, 501, 514, 511, 518, 503, 498, 484, 492, 510, 507, 488, 512, 521, 500, 496, 512, 513, 489, 490, 515, 503, 475, 496, 520, 498, 518, 500, 499, 494, 504, 483, 492, 495, 504, 482, 518, 489, 520, 510, 485, 498, 507, 500, 502, 504, 502, 475, 487, 506, 520, 485, 517, 519, 503, 507, 476, 502, 485, 494, 528, 485, 526, 494, 483, 488, 520, 508, 491, 487, 495, 505, 518, 496, 503, 508, 512, 492, 498, 488, 481, 498, 512, 502, 479, 472, 511, 482, 508, 502, 506, 502, 486, 489, 490, 482, 501, 506, 510, 480, 513, 479, 478, 509, 495, 499, 474, 504, 503, 478, 509, 483, 486, 484, 498, 498, 510, 505, 494, 499, 489, 524, 488, 497, 518, 488, 496, 499, 501, 499, 526, 492, 494, 485, 490, 487, 505, 493, 484, 497, 483, 503, 502, 510, 493, 500, 496, 516, 485, 513, 515, 499, 487, 499, 493, 493, 481, 497, 503, 502, 487, 493, 519, 521, 515, 503, 511, 503, 525, 502, 483, 496, 515, 504, 483, 501, 519, 488, 490, 483, 487, 490, 503, 499, 511, 504, 474, 498, 505, 496, 495, 483, 497, 498, 495, 523, 509, 475, 500, 485, 511, 507, 494, 489, 510, 499, 477, 476, 504, 501, 484, 497, 490, 495, 526, 489, 504, 488, 498, 498, 499, 470, 506, 522, 498, 502, 496, 492, 488, 486, 505, 492, 501, 503, 515, 511, 504, 481, 506, 496, 497, 508, 495, 491, 486, 489, 496, 513, 509, 472, 507, 512, 482, 507, 509, 475, 491, 494, 474, 500, 480, 487, 506, 487, 493, 480, 508, 516, 497, 497, 505, 489, 520, 503, 503, 510, 518, 497, 483, 503, 493, 494, 509, 505, 506, 493, 521, 500, 512, 496, 479, 495, 477, 506, 515, 524, 486, 490, 496, 498, 494, 495, 512, 513, 493, 525, 519, 509, 501, 500, 490, 473, 504, 474, 516, 491, 495, 478, 527, 498, 515, 477, 505, 491, 503, 501, 494, 487, 501, 514, 483, 504, 489, 492, 514, 486, 500, 494, 476, 511, 491, 486, 513, 518, 500, 494, 517, 487, 503, 495, 516, 491, 519, 507, 506, 514, 495, 507, 478, 509, 484, 525, 492, 516, 490, 505, 488, 516, 482, 501, 491, 498, 503, 515, 510, 490, 495, 505, 500, 514, 509, 494, 494, 501, 481, 511, 506, 488, 475, 516, 480, 483, 504, 496, 501, 511, 494, 481, 505, 516, 510, 486, 518, 520, 502, 496, 472, 511, 508, 502, 495, 509, 492, 492, 514, 473, 486, 490, 498, 512, 508, 501, 484, 505, 502, 498, 489, 524, 491, 514, 478, 495, 508, 491, 484, 506, 484, 514, 509, 509, 485, 488, 509, 479, 493, 482, 512, 486, 520, 499, 503, 527, 495, 477, 500, 500, 479, 499, 500, 493, 486, 513, 513, 497, 502, 488, 518, 483, 507, 484, 502, 480, 523, 476, 514, 517, 515, 496, 487, 475, 501, 517, 482, 516, 501, 499, 510, 513, 495, 498, 474, 508, 522, 500, 498, 496, 504, 484, 488, 511, 494, 485, 485, 500, 503, 494, 505, 515, 484, 482, 505, 498, 505, 493, 508, 469, 507, 504, 499, 499, 487, 497, 493, 508, 511, 515, 477, 511, 504, 510, 513, 514, 497, 482, 519, 474, 482, 488, 496, 492, 501, 491, 508, 507, 517, 493, 481, 492, 500, 527, 478, 501, 490, 514, 524, 500, 524, 505, 505, 524, 504, 492, 495, 504, 507, 507, 482, 504, 489, 500, 521, 493, 515, 499, 506, 501, 486, 495, 476, 507, 497, 498, 496, 499, 488, 479, 505, 480, 508, 501, 494, 509, 522, 516, 503, 523, 480, 480, 500, 479, 509, 499, 502, 508, 503, 478, 473, 504, 500, 499, 502, 514, 519, 481, 521, 490, 501, 512, 521, 514, 494, 507, 476, 497, 510, 479, 489, 492, 498, 470, 489, 490, 502, 486, 491, 488, 504, 493, 521, 484, 514, 484, 472, 500, 492, 506, 485, 485, 500, 496, 519, 485, 479, 513, 518, 497, 513, 512, 495, 471, 515, 478, 516, 501, 481, 496, 510, 522, 518, 498, 519, 481, 491, 510, 504, 521, 502, 506, 520, 486, 503, 512, 489, 528, 523, 478, 499, 493, 503, 497, 500, 509, 494, 504, 489, 492, 491, 481, 492, 496, 509, 512, 489, 506, 477, 505, 493, 512, 485, 506, 510, 510, 497, 494, 497, 509, 491, 498, 508, 521, 493, 486, 506, 508, 503, 497, 510, 506, 502, 495, 487, 496, 489, 491, 517, 491, 497, 510, 520, 502, 478, 489, 510, 522, 509, 504, 523, 511, 498, 517, 507, 501, 517, 519, 515, 477, 503}

Returns: 61
{33, 38, 13, 35, 24, 29, 33, 29, 33, 19, 25, 32, 38, 11, 26, 42, 36, 16, 18, 38, 16, 28, 17, 44, 24, 40, 58, 27, 23, 27, 17, 25, 33, 11, 31, 1, 50, 42, 30, 3, 36, 40, 8, 31, 57, 9, 27, 45, 16, 16, 39, 3, 26, 33, 13, 47, 37, 30, 37, 57, 17, 33, 21, 36, 3, 16, 37, 27, 30, 8, 33, 21, 41, 41, 45, 48, 14, 36, 38, 15, 50, 26, 26, 24, 44, 53, 21, 35, 20, 10, 29, 12, 20, 23, 49, 39, 5, 37, 17, 30, 8, 2, 36, 17, 12, 23, 32, 28, 38, 33, 40, 26, 19, 35, 46, 37, 52, 28, 27, 33, 24, 7, 32, 29, 35, 15, 45, 41, 19, 20, 12, 31, 40, 20, 25, 27, 30, 32, 35, 30, 43, 36, 43, 30, 26, 16, 6, 13, 43, 13, 35, 49, 47, 30, 15, 15, 51, 24, 40, 18, 34, 51, 20, 50, 48, 20, 12, 4, 27, 29, 48, 49, 7, 28, 30, 33, 19, 41, 24, 30, 47, 28, 53, 25, 14, 40, 42, 47, 32, 19, 22, 24, 35, 5, 14, 28, 39, 17, 20, 9, 15, 45, 33, 38, 40, 35, 28, 20, 45, 25, 27, 46, 17, 20, 13, 48, 22, 11, 30, 18, 47, 55, 23, 41, 43, 38, 15, 46, 22, 27, 10, 39, 19, 58, 37, 54, 23, 31, 31, 11, 24, 33, 23, 32, 56, 28, 27, 36, 32, 36, 34, 32, 34, 57, 37, 37, 12, 32, 16, 45, 21, 38, 42, 20, 34, 9, 8, 34, 18, 30, 24, 31, 45, 20, 32, 15, 29, 35, 36, 52, 44, 49, 40, 35, 29, 35, 42, 27, 37, 6, 28, 18, 25, 30, 29, 30, 46, 32, 44, 42, 46, 41, 31, 18, 19, 47, 13, 8, 46, 28, 27, 28, 35, 15, 22, 1, 20, 17, 32, 21, 33, 32, 50, 35, 26, 40, 17, 2, 26, 39, 56, 42, 53, 29, 48, 41, 23, 19, 18, 29, 28, 17, 58, 14, 39, 47, 27, 28, 23, 57, 41, 48, 26, 26, 29, 23, 21, 23, 24, 24, 30, 15, 22, 19, 33, 11, 41, 39, 46, 41, 29, 40, 21, 18, 26, 6, 13, 41, 44, 17, 17, 28, 33, 21, 37, 49, 18, 45, 24, 24, 26, 19, 22, 34, 36, 25, 32, 47, 15, 20, 24, 20, 30, 32, 7, 28, 34, 5, 51, 9, 22, 42, 25, 38, 37, 9, 4, 8, 22, 49, 45, 33, 42, 40, 23, 36, 39, 39, 49, 9, 32, 18, 5, 26, 32, 6, 27, 7, 9, 12, 41, 28, 14, 27, 38, 55, 3, 34, 30, 34, 43, 10, 48, 21, 44, 26, 30, 59, 39, 46, 36, 29, 10, 32, 28, 8, 27, 21, 18, 44, 27, 14, 23, 31, 46, 25, 59, 16, 42, 27, 55, 31, 40, 52, 39, 38, 10, 43, 26, 39, 18, 41, 40, 14, 54, 29, 48, 29, 40, 49, 54, 18, 48, 7, 25, 21, 34, 13, 50, 31, 53, 23, 21, 40, 34, 24, 30, 14, 41, 28, 34, 30, 19, 45, 16, 28, 29, 35, 17, 14, 43, 33, 44, 22, 40, 32, 21, 29, 28, 52, 30, 18, 28, 50, 50, 34, 33, 37, 23, 43, 16, 21, 34, 25, 19, 60, 34, 37, 34, 34, 21, 44, 15, 39, 13, 32, 22, 33, 15, 21, 31, 51, 45, 25, 38, 41, 39, 36, 13, 54, 11, 13, 26, 10, 38, 24, 33, 38, 22, 38, 31, 35, 11, 34, 17, 10, 56, 49, 29, 35, 16, 24, 4, 32, 34, 17, 46, 7, 28, 52, 32, 43, 14, 39, 40, 2, 16, 19, 41, 5, 44, 45, 34, 37, 27, 21, 31, 19, 29, 48, 46, 20, 38, 25, 21, 13, 37, 14, 21, 19, 26, 18, 40, 52, 37, 27, 22, 10, 20, 29, 18, 26, 35, 22, 34, 31, 32, 42, 26, 38, 19, 5, 37, 38, 17, 31, 10, 30, 6, 17, 29, 46, 47, 36, 50, 30, 39, 42, 25, 17, 34, 24, 30, 35, 35, 46, 30, 23, 18, 47, 0, 18, 29, 12, 41, 55, 22, 36, 25, 52, 43, 34, 29, 38, 26, 27, 33, 14, 21, 25, 60, 8, 22, 41, 23, 36, 38, 48, 12, 43, 31, 31, 51, 36, 25, 28, 47, 20, 9, 43, 56, 54, 49, 39, 22, 6, 36, 33, 11, 24, 44, 4, 31, 45, 47, 45, 44, 19, 53, 30, 29, 34, 26, 55, 25, 11, 39, 13, 25, 40, 28, 24, 52, 15, 42, 37, 36, 51, 33, 19, 27, 22, 31, 50, 11, 21, 36, 38, 15, 18, 13, 11, 31, 24, 50, 29, 52, 26, 37, 24, 38, 41, 9, 40, 32, 30, 46, 22, 42, 36, 53, 37, 54, 37, 4, 31, 27, 29, 15, 27, 39, 26, 35, 28, 29, 29, 23, 35, 16, 35, 56, 23, 26, 10, 15, 49, 49, 23, 44, 42, 25, 29, 24, 46, 43, 28, 35, 47, 7, 28, 23, 51, 37, 42, 35, 24, 20, 22, 35, 23, 37, 27, 36, 12, 55, 33, 33, 43, 14, 42, 27, 30, 10, 28, 43, 50, 42, 44, 39, 26, 45, 37, 32, 25, 31, 6, 53, 31, 16, 26, 22, 23, 48, 29, 19, 31, 22, 22, 43, 32, 32, 20, 34, 12, 14, 33, 41, 27, 31, 25, 24, 44, 34, 31, 31, 21, 44, 33, 47, 51, 44, 7, 43, 26, 12, 9, 31, 35, 14, 55, 16, 36, 45, 20, 54, 23, 25, 33, 32, 36, 36, 23, 25, 31, 12, 28, 51, 16, 16, 30, 48, 11, 39, 39, 22, 51, 27, 32, 8, 40, 31, 19, 12, 25, 34, 38, 20, 43, 30, 25, 42}

{497, 508, 499, 495, 486, 471, 507, 501, 505, 493, 491, 492, 486, 489, 474, 496, 510, 500, 514, 476, 492, 490, 501, 498, 476, 506, 496, 499, 515, 517, 495, 493, 517, 511, 525, 501, 492, 490, 518, 499, 516, 518, 498, 471, 495, 493, 527, 493, 502, 486, 511, 497, 496, 485, 493, 485, 483, 488, 489, 499, 511, 499, 513, 520, 503, 490, 475, 475, 496, 496, 521, 503, 505, 515, 489, 502, 512, 502, 492, 495, 498, 516, 510, 500, 502, 495, 485, 483, 510, 508, 475, 512, 508, 485, 503, 499, 497, 497, 489, 524, 492, 500, 498, 487, 496, 493, 496, 514, 518, 515, 496, 508, 501, 505, 498, 477, 494, 512, 519, 509, 506, 493, 508, 525, 473, 493, 511, 485, 487, 488, 500, 469, 492, 504, 505, 521, 522, 484, 481, 486, 511, 490, 485, 528, 480, 512, 502, 497, 509, 507, 519, 507, 487, 482, 511, 509, 497, 492, 508, 504, 482, 491, 512, 490, 488, 518, 492, 504, 495, 511, 510, 505, 503, 496, 520, 477, 503, 513, 478, 470, 499, 488, 505, 513, 506, 486, 508, 501, 502, 507, 520, 498, 493, 499, 510, 502, 491, 497, 520, 499, 503, 491, 475, 496, 494, 487, 526, 492, 513, 499, 487, 486, 507, 486, 503, 490, 514, 499, 480, 498, 495, 497, 503, 479, 489, 488, 499, 484, 486, 505, 490, 487, 483, 500, 485, 504, 505, 509, 497, 497, 480, 495, 513, 518, 498, 522, 509, 508, 526, 494, 496, 524, 510, 501, 521, 481, 488, 474, 496, 501, 487, 480, 502, 482, 472, 507, 504, 512, 508, 490, 488, 491, 509, 506, 514, 485, 481, 479, 474, 502, 512, 499, 510, 513, 521, 499, 492, 507, 501, 496, 508, 486, 479, 516, 477, 508, 496, 516, 486, 480, 506, 491, 505, 488, 517, 491, 509, 502, 512, 476, 525, 484, 497, 505, 512, 499, 498, 503, 522, 479, 489, 486, 508, 491, 486, 484, 485, 498, 482, 495, 494, 512, 499, 507, 506, 499, 509, 511, 496, 491, 518, 499, 498, 486, 509, 505, 491, 506, 511, 497, 495, 496, 490, 526, 473, 489, 491, 499, 518, 496, 510, 487, 518, 513, 471, 507, 507, 503, 502, 487, 517, 490, 489, 494, 504, 506, 501, 511, 500, 509, 505, 482, 523, 499, 479, 487, 492, 505, 502, 490, 476, 515, 496, 480, 514, 497, 488, 489, 515, 502, 504, 514, 504, 504, 501, 492, 502, 495, 501, 497, 484, 500, 495, 504, 517, 505, 496, 494, 522, 493, 487, 493, 486, 500, 521, 504, 485, 517, 497, 501, 510, 482, 505, 478, 478, 500, 515, 495, 503, 490, 497, 478, 500, 497, 516, 503, 501, 514, 472, 498, 513, 506, 492, 483, 504, 492, 526, 497, 481, 494, 512, 515, 510, 490, 494, 506, 523, 521, 506, 484, 479, 496, 497, 483, 488, 525, 499, 510, 484, 473, 493, 493, 482, 504, 497, 520, 498, 483, 506, 477, 516, 493, 516, 490, 500, 499, 504, 527, 514, 489, 498, 502, 498, 499, 489, 511, 504, 505, 502, 517, 501, 481, 493, 480, 506, 516, 474, 502, 481, 472, 500, 494, 491, 495, 498, 516, 505, 517, 493, 488, 487, 501, 514, 502, 488, 470, 497, 519, 510, 496, 484, 484, 524, 496, 506, 478, 525, 487, 479, 505, 504, 505, 524, 521, 495, 498, 474, 491, 518, 494, 519, 506, 497, 479, 495, 512, 508, 483, 489, 501, 499, 499, 497, 507, 490, 483, 507, 506, 491, 494, 503, 489, 494, 504, 478, 524, 503, 482, 480, 500, 479, 489, 495, 476, 515, 502, 496, 509, 503, 515, 484, 512, 498, 500, 492, 483, 490, 505, 528, 492, 476, 495, 504, 515, 504, 502, 506, 497, 501, 501, 490, 499, 522, 511, 481, 517, 473, 485, 529, 494, 510, 480, 514, 519, 509, 513, 499, 508, 507, 509, 498, 500, 498, 506, 513, 501, 510, 492, 500, 489, 518, 522, 485, 478, 484, 527, 520, 498, 502, 502, 519, 503, 515, 512, 491, 519, 496, 478, 498, 513, 497, 508, 507, 496, 500, 500, 483, 514, 501, 517, 486, 514, 502, 501, 521, 492, 506, 507, 512, 493, 500, 510, 485, 494, 489, 495, 516, 500, 483, 498, 497, 516, 479, 506, 524, 489, 519, 494, 495, 475, 500, 508, 482, 517, 491, 478, 510, 508, 504, 503, 511, 485, 503, 518, 477, 474, 511, 490, 509, 491, 500, 492, 501, 501, 492, 494, 486, 491, 509, 522, 482, 502, 475, 503, 509, 485, 492, 499, 503, 498, 513, 490, 484, 491, 509, 501, 505, 511, 485, 478, 500, 494, 490, 513, 510, 503, 522, 489, 479, 481, 511, 504, 501, 494, 491, 515, 488, 498, 507, 490, 487, 493, 521, 484, 488, 487, 500, 512, 495, 510, 484, 509, 495, 512, 494, 514, 500, 494, 506, 482, 497, 507, 496, 519, 500, 495, 503, 493, 491, 477, 493, 520, 503, 504, 509, 483, 483, 523, 516, 507, 502, 495, 518, 500, 501, 491, 495, 477, 508, 504, 487, 495, 520, 504, 499, 486, 509, 503, 507, 480, 517, 495, 505, 494, 511, 482, 496, 488, 475, 519, 509, 485, 484, 498, 501, 511, 473, 515, 498, 488, 483, 476, 494, 520, 507, 504, 482, 494, 519, 514, 507, 493, 480, 503, 507, 504, 491, 487, 488, 488, 500, 487, 486, 523, 505, 477, 498, 490, 481, 498, 482, 494, 508, 502, 492, 513, 503, 493, 523, 517, 508, 510, 520, 489, 515, 481, 488, 487, 497, 493, 496, 497, 501, 500, 510, 491, 481, 477, 514, 499, 508, 476, 483, 484, 502, 523, 481, 481, 472, 492, 480, 501, 515, 513, 508, 498, 505, 494, 514, 492, 500, 505, 489, 513, 506, 507, 513, 506, 500, 502, 503, 489, 506, 523, 488, 494, 516, 493, 512, 511, 516}

Returns: 62
{51, 14, 40, 53, 42, 33, 23, 13, 50, 53, 29, 43, 46, 47, 52, 10, 26, 50, 53, 18, 23, 23, 12, 40, 24, 22, 13, 15, 30, 33, 40, 53, 26, 33, 36, 41, 35, 25, 55, 44, 41, 28, 45, 19, 53, 9, 22, 8, 19, 29, 42, 54, 47, 51, 51, 24, 32, 49, 43, 24, 36, 5, 8, 19, 26, 56, 40, 31, 29, 43, 38, 49, 29, 23, 17, 25, 34, 51, 6, 39, 45, 32, 46, 49, 32, 25, 20, 20, 39, 19, 23, 31, 21, 46, 19, 19, 47, 31, 38, 26, 38, 37, 41, 32, 20, 14, 29, 16, 40, 25, 27, 47, 16, 43, 14, 54, 34, 37, 27, 46, 4, 55, 35, 26, 13, 20, 46, 28, 56, 33, 40, 25, 25, 38, 52, 46, 39, 32, 27, 27, 19, 45, 42, 48, 10, 44, 36, 32, 11, 47, 31, 27, 44, 22, 34, 21, 19, 42, 14, 41, 38, 16, 29, 33, 57, 17, 16, 21, 20, 28, 34, 30, 32, 27, 57, 57, 29, 30, 56, 58, 27, 41, 40, 42, 35, 23, 22, 22, 22, 19, 58, 41, 28, 24, 24, 17, 17, 19, 32, 29, 6, 25, 18, 35, 38, 36, 19, 5, 28, 18, 11, 27, 29, 52, 41, 23, 39, 41, 29, 28, 31, 38, 24, 39, 39, 46, 18, 39, 33, 23, 3, 25, 38, 8, 39, 10, 6, 41, 12, 48, 35, 15, 30, 3, 20, 2, 47, 31, 36, 40, 36, 43, 35, 35, 57, 46, 14, 51, 21, 29, 11, 55, 24, 25, 6, 33, 18, 45, 39, 21, 21, 31, 34, 13, 37, 22, 52, 11, 37, 18, 32, 26, 54, 9, 51, 29, 25, 37, 30, 16, 42, 24, 33, 13, 5, 31, 33, 36, 37, 35, 37, 19, 37, 46, 44, 39, 40, 36, 28, 26, 34, 36, 18, 36, 44, 36, 16, 12, 37, 47, 28, 11, 48, 42, 30, 23, 27, 39, 12, 14, 17, 50, 34, 17, 47, 30, 46, 16, 43, 30, 10, 49, 28, 23, 24, 35, 42, 44, 54, 26, 49, 18, 12, 10, 18, 27, 40, 54, 26, 22, 17, 33, 54, 13, 43, 26, 30, 49, 17, 26, 62, 33, 55, 20, 27, 48, 31, 28, 28, 23, 30, 49, 19, 16, 41, 26, 26, 21, 25, 8, 37, 50, 27, 17, 18, 40, 30, 6, 39, 50, 20, 16, 13, 38, 39, 9, 32, 42, 19, 13, 20, 35, 3, 24, 15, 42, 20, 47, 38, 49, 36, 38, 33, 24, 37, 48, 30, 32, 15, 27, 52, 31, 21, 21, 44, 10, 16, 33, 53, 39, 31, 36, 8, 31, 39, 44, 57, 15, 23, 34, 49, 38, 7, 56, 30, 5, 7, 26, 9, 51, 45, 37, 23, 29, 26, 47, 18, 21, 59, 50, 30, 59, 22, 13, 39, 38, 7, 9, 40, 26, 40, 19, 40, 15, 9, 51, 35, 37, 49, 0, 38, 29, 2, 45, 61, 32, 38, 35, 41, 46, 38, 35, 54, 22, 7, 58, 29, 61, 47, 55, 34, 48, 24, 27, 47, 26, 37, 17, 15, 38, 42, 33, 34, 40, 50, 29, 32, 29, 48, 29, 34, 26, 6, 23, 42, 3, 45, 17, 55, 14, 36, 20, 42, 20, 30, 53, 32, 29, 31, 36, 21, 53, 43, 21, 15, 24, 41, 38, 37, 37, 41, 16, 22, 25, 59, 33, 34, 43, 8, 19, 28, 23, 34, 15, 36, 27, 16, 42, 10, 36, 39, 37, 25, 13, 20, 58, 23, 22, 34, 46, 10, 30, 55, 42, 56, 29, 23, 11, 19, 24, 26, 20, 31, 20, 43, 32, 17, 35, 28, 46, 19, 31, 19, 9, 11, 45, 14, 36, 48, 40, 28, 41, 37, 44, 7, 16, 54, 23, 27, 35, 48, 52, 52, 12, 55, 21, 31, 56, 34, 39, 22, 45, 47, 38, 32, 40, 28, 38, 28, 13, 20, 26, 20, 45, 33, 4, 41, 34, 25, 27, 34, 37, 20, 24, 53, 45, 31, 38, 45, 24, 37, 21, 39, 22, 14, 40, 42, 50, 34, 41, 10, 12, 25, 25, 43, 31, 51, 17, 12, 13, 20, 22, 32, 30, 44, 42, 23, 16, 22, 32, 38, 35, 24, 34, 24, 39, 12, 42, 59, 50, 14, 17, 42, 33, 28, 30, 44, 25, 8, 51, 27, 7, 17, 35, 16, 21, 38, 28, 25, 18, 14, 11, 1, 56, 21, 57, 14, 11, 25, 23, 48, 27, 32, 36, 20, 44, 27, 31, 18, 4, 17, 33, 46, 14, 15, 12, 5, 51, 21, 48, 35, 21, 50, 43, 45, 25, 22, 23, 37, 12, 41, 24, 39, 50, 33, 49, 22, 41, 44, 22, 37, 60, 25, 45, 40, 20, 27, 43, 34, 21, 11, 43, 24, 10, 24, 44, 18, 38, 25, 50, 22, 43, 9, 4, 15, 43, 28, 23, 34, 45, 42, 15, 43, 45, 35, 21, 37, 31, 36, 36, 35, 54, 17, 43, 48, 36, 7, 47, 12, 15, 11, 22, 13, 9, 34, 51, 42, 35, 5, 18, 21, 39, 8, 30, 18, 44, 18, 17, 41, 25, 33, 49, 53, 44, 33, 48, 23, 26, 40, 14, 32, 52, 10, 8, 60, 41, 27, 52, 21, 40, 30, 9, 43, 60, 26, 43, 29, 22, 15, 25, 30, 13, 29, 22, 31, 37, 44, 34, 18, 16, 32, 27, 47, 6, 12, 35, 1, 23, 19, 15, 30, 40, 46, 40, 2, 28, 18, 26, 28, 44, 24, 24, 31, 11, 39, 30, 31, 36, 48, 28, 49, 29, 36, 26, 50, 45, 52, 28, 33, 32, 58, 4, 33, 46, 41, 41, 39, 30, 7, 33, 35, 31, 48, 15, 49, 45, 47, 28, 27, 35, 29, 52, 46, 44, 32, 16, 32, 14, 24, 34}

{527, 494, 500, 525, 518, 529, 487, 487, 522, 519, 519, 505, 506, 503, 512, 496, 510, 526, 511, 518, 483, 489, 490, 512, 516, 500, 513, 507, 504, 527, 520, 523, 488, 499, 510, 521, 497, 479, 509, 524, 513, 522, 509, 493, 521, 507, 486, 494, 511, 499, 536, 524, 531, 519, 513, 506, 518, 521, 527, 518, 492, 501, 496, 483, 520, 514, 508, 529, 493, 499, 500, 527, 491, 507, 489, 525, 496, 525, 502, 537, 517, 486, 520, 523, 514, 505, 520, 480, 533, 485, 495, 497, 499, 524, 491, 487, 515, 519, 506, 524, 530, 495, 509, 492, 506, 498, 497, 492, 496, 481, 507, 507, 504, 497, 508, 518, 490, 499, 497, 530, 502, 513, 519, 514, 503, 504, 500, 484, 520, 487, 504, 509, 487, 520, 510, 510, 515, 490, 509, 513, 489, 501, 500, 506, 492, 500, 532, 524, 507, 529, 489, 487, 530, 480, 534, 497, 509, 498, 510, 535, 502, 488, 487, 497, 521, 513, 508, 487, 482, 496, 514, 502, 496, 511, 511, 513, 517, 496, 518, 516, 521, 511, 516, 516, 505, 491, 482, 478, 488, 519, 518, 537, 526, 482, 510, 517, 501, 513, 498, 489, 496, 517, 516, 513, 508, 522, 501, 499, 510, 484, 495, 485, 495, 516, 495, 515, 539, 497, 525, 508, 527, 492, 496, 527, 517, 522, 508, 523, 489, 513, 499, 483, 524, 500, 509, 510, 498, 531, 498, 502, 517, 511, 512, 503, 484, 500, 527, 495, 536, 494, 496, 509, 507, 521, 515, 526, 486, 505, 521, 515, 505, 511, 478, 503, 504, 493, 496, 527, 495, 495, 513, 531, 522, 495, 501, 508, 514, 501, 527, 504, 512, 504, 522, 499, 515, 483, 485, 519, 508, 484, 508, 498, 515, 491, 495, 513, 523, 506, 517, 535, 493, 517, 513, 502, 510, 507, 528, 500, 490, 502, 494, 524, 482, 494, 534, 512, 514, 502, 537, 509, 494, 503, 516, 496, 484, 517, 517, 503, 492, 512, 483, 504, 530, 507, 505, 516, 508, 512, 531, 514, 502, 503, 502, 493, 524, 525, 522, 506, 510, 486, 519, 506, 496, 494, 512, 499, 526, 508, 482, 484, 491, 531, 512, 511, 511, 500, 518, 507, 497, 492, 516, 491, 523, 518, 491, 510, 521, 528, 486, 511, 492, 513, 503, 516, 503, 516, 494, 517, 491, 492, 505, 512, 515, 515, 488, 532, 500, 500, 505, 520, 498, 502, 493, 518, 519, 509, 502, 520, 481, 489, 510, 515, 497, 522, 509, 510, 496, 511, 538, 509, 520, 494, 513, 494, 515, 522, 506, 510, 487, 523, 526, 509, 519, 507, 502, 506, 490, 519, 517, 521, 507, 528, 506, 487, 525, 532, 517, 499, 497, 528, 529, 512, 495, 516, 524, 497, 503, 480, 503, 507, 499, 531, 503, 527, 518, 521, 494, 479, 513, 518, 490, 517, 498, 505, 513, 534, 501, 493, 538, 512, 522, 495, 506, 515, 497, 521, 533, 503, 511, 500, 536, 513, 498, 505, 515, 520, 526, 511, 515, 516, 504, 489, 514, 510, 507, 514, 485, 517, 523, 515, 506, 514, 492, 525, 525, 484, 511, 505, 495, 514, 504, 509, 510, 510, 514, 509, 526, 521, 518, 511, 520, 508, 494, 501, 524, 501, 503, 509, 519, 504, 526, 502, 528, 516, 510, 513, 488, 501, 525, 534, 485, 509, 519, 509, 497, 486, 525, 532, 529, 521, 529, 506, 506, 489, 519, 507, 502, 513, 498, 499, 520, 521, 518, 493, 518, 501, 510, 514, 504, 504, 531, 533, 515, 497, 488, 512, 477, 494, 516, 518, 508, 522, 521, 530, 510, 505, 509, 491, 515, 488, 506, 500, 501, 494, 525, 522, 503, 503, 518, 512, 505, 515, 507, 491, 493, 521, 488, 508, 526, 518, 482, 523, 497, 522, 499, 494, 520, 523, 527, 531, 528, 508, 520, 508, 517, 501, 511, 512, 498, 511, 504, 513, 501, 516, 508, 534, 516, 496, 524, 501, 492, 490, 514, 511, 505, 500, 499, 492, 511, 489, 512, 509, 486, 502, 515, 507, 493, 522, 533, 508, 525, 493, 535, 496, 514, 502, 512, 524, 500, 505, 500, 500, 523, 507, 515, 505, 509, 485, 512, 499, 508, 520, 504, 520, 514, 532, 499, 500, 522, 530, 510, 493, 480, 524, 520, 493, 494, 502, 515, 528, 502, 495, 534, 501, 498, 530, 520, 493, 502, 511, 519, 505, 487, 501, 486, 505, 528, 492, 513, 514, 496, 511, 499, 522, 489, 519, 500, 499, 495, 481, 530, 481, 532, 498, 512, 512, 503, 517, 490, 504, 511, 511, 532, 490, 505, 506, 503, 523, 515, 512, 491, 491, 508, 521, 515, 519, 514, 505, 507, 504, 501, 490, 501, 516, 533, 517, 516, 527, 498, 502, 535, 516, 497, 523, 530, 490, 493, 503, 508, 481, 497, 533, 514, 498, 512, 518, 502, 498, 501, 510, 518, 529, 495, 496, 513, 535, 512, 485, 532, 519, 506, 503, 501, 525, 495, 503, 523, 485, 530, 516, 509, 516, 499, 507, 504, 490, 493, 519, 488, 485, 489, 490, 509, 505, 526, 517, 526, 527, 505, 492, 511, 497, 504, 528, 486, 526, 498, 493, 519, 499, 495, 525, 507, 504, 517, 508, 519, 522, 524, 492, 494, 522, 490, 508, 518, 533, 495, 518, 483, 498, 488, 501, 523, 514, 526, 517, 507, 512, 501, 521, 486, 507, 529, 492, 503, 491, 508, 488, 500, 498, 516, 483, 517, 506, 510, 529, 501, 479, 497, 489, 498, 514, 504, 536, 502, 514, 510, 496, 506, 516, 504, 484, 491, 509, 529, 494, 523, 502, 524, 500, 505, 503, 514, 498, 506, 529, 524, 504, 521, 506, 520, 498, 525, 528, 507, 517, 499, 526, 497, 503, 499, 499, 520, 491, 515, 531, 513, 488, 505, 523, 523, 506, 514, 528, 528, 496, 500, 506, 500, 504}

Returns: 63
{51, 28, 25, 28, 35, 40, 5, 41, 43, 39, 46, 38, 24, 39, 13, 59, 25, 27, 53, 48, 54, 36, 49, 13, 33, 34, 33, 36, 40, 22, 28, 32, 19, 42, 38, 28, 15, 12, 25, 15, 43, 13, 27, 11, 17, 14, 55, 12, 30, 35, 14, 38, 60, 25, 21, 21, 21, 14, 8, 35, 23, 22, 50, 35, 22, 22, 26, 36, 31, 15, 27, 30, 24, 32, 25, 31, 18, 13, 10, 27, 52, 17, 53, 36, 45, 16, 40, 25, 48, 22, 12, 21, 29, 4, 8, 23, 8, 48, 18, 17, 24, 16, 53, 25, 39, 30, 28, 41, 35, 26, 9, 18, 44, 44, 39, 62, 59, 35, 23, 26, 37, 50, 36, 36, 22, 24, 27, 27, 29, 47, 22, 11, 45, 16, 39, 26, 43, 47, 37, 22, 54, 48, 39, 32, 15, 49, 38, 7, 27, 33, 26, 55, 41, 29, 35, 20, 39, 40, 47, 32, 35, 17, 50, 17, 27, 37, 4, 23, 40, 55, 35, 45, 39, 21, 34, 41, 38, 44, 28, 16, 55, 27, 42, 8, 23, 44, 11, 23, 43, 18, 50, 52, 33, 24, 16, 50, 40, 39, 36, 46, 39, 20, 41, 41, 11, 19, 28, 24, 15, 51, 35, 0, 26, 18, 34, 32, 23, 37, 27, 46, 34, 41, 38, 43, 28, 28, 12, 28, 20, 39, 47, 61, 25, 39, 40, 36, 8, 18, 54, 34, 10, 2, 22, 37, 29, 42, 44, 35, 29, 50, 34, 13, 29, 37, 31, 33, 38, 58, 44, 54, 27, 24, 26, 30, 24, 10, 42, 23, 34, 40, 29, 52, 14, 22, 34, 37, 34, 20, 47, 3, 36, 38, 28, 45, 23, 8, 6, 20, 29, 20, 22, 5, 39, 18, 20, 33, 18, 38, 14, 42, 38, 45, 60, 37, 41, 52, 37, 17, 26, 45, 4, 37, 28, 40, 42, 40, 47, 40, 17, 45, 56, 23, 41, 15, 30, 36, 25, 27, 16, 17, 47, 17, 46, 32, 37, 27, 25, 21, 28, 42, 22, 45, 9, 15, 34, 9, 25, 23, 32, 51, 34, 17, 51, 28, 34, 7, 56, 31, 13, 30, 32, 30, 44, 29, 39, 17, 39, 42, 45, 25, 53, 23, 42, 17, 41, 33, 6, 51, 42, 24, 49, 32, 31, 8, 22, 54, 36, 40, 9, 34, 47, 46, 18, 56, 27, 42, 23, 49, 36, 41, 25, 48, 57, 26, 31, 21, 48, 48, 35, 10, 33, 34, 25, 35, 57, 39, 43, 42, 42, 50, 32, 19, 25, 26, 23, 49, 43, 23, 24, 27, 34, 52, 3, 14, 30, 49, 23, 29, 42, 36, 54, 32, 21, 46, 43, 30, 25, 31, 43, 39, 38, 19, 28, 39, 31, 53, 13, 40, 46, 42, 48, 18, 20, 21, 54, 7, 28, 42, 38, 32, 43, 20, 41, 44, 16, 26, 10, 33, 40, 13, 17, 28, 58, 28, 22, 22, 22, 58, 12, 19, 13, 37, 34, 47, 51, 20, 31, 38, 7, 29, 31, 21, 20, 30, 38, 49, 41, 18, 43, 44, 47, 26, 27, 16, 19, 25, 10, 53, 29, 39, 16, 5, 23, 32, 32, 31, 31, 11, 14, 22, 21, 36, 20, 27, 56, 30, 30, 54, 55, 44, 20, 29, 55, 37, 37, 29, 15, 28, 22, 40, 53, 44, 16, 30, 37, 60, 31, 30, 41, 19, 32, 44, 40, 9, 28, 47, 14, 46, 51, 21, 25, 18, 51, 58, 51, 23, 19, 24, 15, 21, 38, 27, 12, 57, 46, 24, 36, 25, 21, 16, 11, 35, 31, 19, 29, 48, 47, 52, 27, 30, 36, 33, 37, 26, 14, 44, 18, 43, 46, 29, 40, 35, 59, 25, 24, 35, 37, 14, 17, 9, 19, 1, 21, 29, 44, 20, 34, 14, 6, 14, 6, 34, 42, 32, 30, 44, 38, 3, 15, 33, 41, 5, 12, 31, 22, 37, 45, 19, 34, 50, 41, 10, 2, 33, 33, 29, 23, 49, 41, 7, 19, 48, 7, 39, 31, 49, 53, 58, 32, 17, 15, 18, 14, 5, 36, 49, 36, 10, 33, 19, 33, 39, 55, 27, 22, 15, 16, 1, 24, 46, 18, 36, 35, 44, 18, 59, 6, 9, 20, 21, 16, 47, 15, 37, 14, 31, 38, 49, 30, 41, 33, 37, 40, 17, 24, 8, 50, 35, 53, 28, 27, 20, 30, 4, 31, 44, 40, 32, 39, 34, 45, 45, 29, 46, 15, 57, 26, 42, 33, 20, 45, 5, 56, 31, 11, 31, 17, 36, 13, 30, 25, 57, 20, 19, 13, 11, 46, 33, 18, 43, 44, 12, 53, 22, 38, 43, 28, 7, 36, 26, 36, 49, 26, 8, 21, 43, 30, 32, 24, 39, 31, 26, 41, 41, 56, 55, 7, 2, 24, 10, 43, 12, 43, 33, 46, 54, 34, 23, 26, 23, 47, 29, 11, 39, 36, 50, 29, 13, 35, 24, 46, 26, 31, 48, 16, 19, 30, 12, 45, 24, 30, 25, 40, 20, 47, 19, 44, 18, 38, 49, 30, 43, 32, 50, 21, 15, 34, 13, 38, 19, 4, 23, 12, 24, 52, 37, 50, 20, 20, 35, 48, 16, 42, 33, 31, 10, 37, 34, 24, 49, 24, 23, 52, 34, 33, 18, 14, 21, 24, 50, 23, 45, 40, 25, 48, 10, 9, 26, 35, 52, 32, 16, 42, 33, 11, 45, 56, 6, 38, 52, 28, 32, 53, 51, 43, 15, 41, 27, 48, 13, 42, 37, 22, 3, 29, 26, 17, 38, 48, 24, 29, 30, 19, 57, 52, 22, 38, 26, 6, 16, 9, 32, 19, 47, 29, 9, 36, 26, 38, 37, 40, 35, 21, 25, 11, 19, 26, 11, 40, 21, 21, 12, 27, 27, 41, 44, 31, 32, 12, 61, 46, 45, 51, 43, 35, 45, 35, 33, 51, 28, 46}

{513, 524, 485, 498, 493, 522, 495, 537, 503, 495, 524, 508, 510, 493, 495, 515, 499, 515, 525, 526, 514, 502, 525, 505, 505, 488, 529, 508, 510, 498, 518, 512, 507, 498, 506, 488, 493, 496, 507, 501, 533, 511, 493, 497, 501, 496, 515, 508, 508, 509, 510, 536, 516, 521, 515, 491, 507, 500, 508, 519, 501, 482, 510, 533, 484, 506, 494, 510, 515, 489, 495, 500, 518, 502, 481, 507, 496, 501, 506, 513, 512, 515, 509, 536, 501, 500, 494, 519, 502, 520, 512, 509, 507, 496, 494, 503, 502, 512, 508, 487, 478, 490, 513, 509, 515, 520, 516, 507, 531, 520, 497, 500, 502, 524, 501, 516, 513, 511, 495, 508, 521, 512, 504, 514, 502, 516, 527, 485, 493, 517, 518, 503, 503, 516, 507, 486, 535, 505, 513, 510, 520, 516, 523, 520, 511, 523, 500, 505, 507, 527, 512, 509, 533, 495, 501, 500, 521, 536, 525, 518, 505, 511, 526, 491, 499, 509, 500, 489, 512, 513, 527, 507, 513, 513, 516, 529, 524, 520, 528, 506, 521, 501, 518, 500, 505, 522, 501, 491, 507, 490, 516, 524, 521, 480, 508, 508, 514, 529, 516, 508, 505, 482, 519, 523, 495, 505, 522, 494, 505, 519, 529, 500, 490, 484, 528, 494, 493, 533, 521, 506, 498, 505, 512, 511, 514, 506, 492, 486, 506, 537, 521, 515, 511, 509, 508, 512, 504, 486, 524, 510, 494, 500, 522, 491, 501, 536, 526, 497, 499, 528, 506, 493, 509, 531, 505, 531, 502, 516, 528, 510, 509, 500, 480, 528, 520, 496, 504, 519, 524, 518, 527, 518, 490, 496, 514, 525, 518, 490, 511, 499, 518, 492, 496, 531, 479, 506, 498, 514, 529, 498, 504, 505, 527, 506, 480, 487, 512, 530, 486, 512, 532, 505, 514, 507, 515, 514, 503, 495, 484, 525, 502, 529, 484, 500, 524, 498, 519, 502, 507, 517, 520, 511, 521, 507, 506, 506, 505, 517, 502, 499, 529, 497, 526, 488, 527, 487, 491, 521, 512, 496, 500, 533, 501, 485, 490, 505, 523, 521, 492, 507, 526, 505, 509, 492, 530, 495, 512, 513, 507, 492, 524, 504, 508, 505, 539, 483, 497, 502, 519, 515, 521, 483, 500, 489, 503, 507, 494, 525, 516, 512, 505, 498, 529, 492, 486, 512, 528, 504, 491, 520, 501, 532, 492, 514, 525, 506, 477, 507, 490, 495, 517, 528, 521, 502, 485, 511, 510, 504, 523, 508, 493, 504, 483, 515, 517, 503, 525, 508, 528, 504, 522, 495, 501, 518, 515, 517, 527, 507, 508, 483, 502, 526, 501, 492, 488, 509, 481, 519, 514, 526, 518, 500, 493, 514, 501, 514, 497, 527, 521, 511, 496, 493, 482, 535, 497, 505, 491, 532, 522, 522, 522, 502, 496, 489, 508, 493, 520, 520, 538, 504, 531, 512, 511, 530, 512, 492, 490, 489, 506, 489, 493, 508, 514, 510, 490, 494, 512, 512, 504, 491, 513, 517, 512, 513, 505, 492, 519, 514, 501, 503, 517, 517, 518, 510, 528, 521, 525, 510, 499, 516, 515, 500, 511, 510, 487, 495, 492, 515, 513, 499, 504, 501, 497, 486, 528, 521, 495, 499, 494, 516, 481, 492, 508, 491, 510, 522, 512, 522, 523, 534, 494, 483, 519, 537, 519, 525, 509, 502, 514, 516, 519, 504, 496, 526, 515, 518, 531, 530, 499, 497, 516, 514, 524, 503, 526, 527, 498, 504, 517, 479, 493, 516, 515, 518, 523, 485, 489, 482, 515, 503, 518, 481, 498, 511, 502, 504, 498, 513, 501, 494, 505, 491, 511, 501, 489, 514, 503, 516, 505, 516, 520, 497, 535, 482, 514, 498, 488, 517, 516, 497, 530, 521, 519, 489, 492, 525, 499, 506, 485, 499, 499, 499, 495, 515, 536, 504, 494, 488, 506, 508, 500, 500, 532, 496, 490, 500, 498, 503, 499, 513, 501, 503, 488, 525, 478, 501, 509, 511, 496, 524, 517, 510, 502, 499, 491, 485, 513, 527, 527, 507, 513, 520, 503, 533, 491, 511, 507, 520, 526, 503, 487, 494, 512, 497, 522, 503, 524, 500, 533, 519, 503, 519, 517, 489, 488, 513, 486, 501, 498, 512, 518, 532, 535, 518, 514, 517, 504, 507, 516, 497, 488, 507, 503, 505, 504, 493, 510, 515, 518, 531, 523, 497, 520, 517, 496, 498, 518, 503, 511, 494, 519, 502, 498, 498, 501, 510, 538, 508, 531, 508, 521, 515, 521, 518, 495, 519, 514, 526, 517, 488, 511, 499, 522, 509, 509, 503, 509, 496, 499, 496, 525, 515, 510, 515, 497, 489, 530, 495, 504, 497, 506, 502, 517, 508, 534, 523, 490, 497, 530, 522, 500, 519, 504, 496, 519, 509, 502, 530, 488, 525, 523, 510, 535, 513, 516, 511, 499, 498, 486, 502, 519, 506, 529, 511, 510, 516, 522, 509, 524, 523, 509, 487, 507, 517, 494, 506, 523, 509, 507, 484, 520, 516, 489, 518, 514, 517, 486, 494, 513, 524, 484, 479, 528, 486, 531, 509, 512, 498, 526, 529, 494, 515, 510, 522, 483, 491, 492, 503, 494, 481, 504, 487, 500, 502, 510, 511, 514, 484, 520, 489, 530, 492, 534, 509, 487, 498, 493, 532, 506, 513, 490, 499, 522, 534, 515, 482, 502, 485, 522, 520, 517, 527, 534, 487, 506, 504, 495, 488, 513, 508, 490, 484, 510, 519, 493, 529, 518, 496, 516, 520, 504, 506, 523, 521, 513, 497, 497, 497, 508, 487, 530, 523, 492, 497, 517, 506, 513, 504, 524, 514, 511, 524, 483, 513, 506, 480, 522, 526, 502, 498, 493, 514, 503, 523, 491, 509, 534, 498, 520, 495, 496, 495, 487, 503, 491, 485, 496, 511, 526, 499, 505, 510, 523, 503, 509, 532, 499, 532, 490, 517, 500, 499, 511, 505, 517, 523, 499, 501, 527, 500, 528}

Returns: 64
{14, 24, 12, 48, 55, 50, 42, 24, 10, 18, 20, 31, 24, 11, 38, 47, 12, 39, 32, 39, 58, 26, 43, 60, 23, 22, 34, 44, 52, 29, 58, 31, 26, 20, 48, 16, 9, 32, 49, 18, 40, 32, 41, 19, 37, 14, 32, 28, 49, 10, 24, 16, 26, 15, 4, 24, 36, 10, 25, 41, 54, 9, 31, 45, 34, 46, 28, 27, 52, 9, 23, 55, 23, 38, 53, 25, 30, 36, 42, 42, 37, 32, 33, 55, 35, 43, 31, 35, 22, 41, 32, 7, 22, 39, 27, 38, 2, 21, 52, 49, 5, 29, 26, 31, 17, 39, 26, 25, 21, 14, 0, 30, 40, 23, 41, 18, 15, 55, 17, 28, 41, 43, 30, 21, 41, 44, 39, 33, 16, 18, 25, 31, 18, 10, 37, 26, 31, 33, 38, 36, 38, 30, 41, 4, 24, 45, 29, 20, 52, 49, 9, 8, 13, 33, 23, 53, 54, 41, 30, 28, 48, 14, 22, 28, 7, 36, 25, 39, 38, 23, 61, 36, 50, 59, 53, 11, 27, 19, 44, 45, 38, 31, 29, 45, 43, 25, 23, 58, 22, 10, 58, 47, 18, 41, 52, 20, 50, 42, 44, 32, 16, 22, 15, 29, 43, 15, 17, 51, 18, 43, 11, 29, 29, 34, 48, 31, 39, 21, 23, 36, 48, 42, 10, 38, 15, 40, 56, 42, 21, 30, 8, 19, 20, 38, 22, 25, 56, 44, 47, 40, 12, 31, 31, 33, 28, 55, 31, 32, 52, 44, 17, 24, 28, 54, 12, 21, 42, 42, 32, 33, 25, 46, 21, 37, 38, 16, 13, 11, 34, 28, 28, 5, 34, 37, 32, 36, 28, 19, 20, 28, 37, 46, 16, 35, 28, 42, 24, 13, 36, 29, 26, 45, 18, 19, 17, 43, 41, 47, 12, 36, 41, 30, 8, 29, 42, 31, 32, 54, 38, 52, 47, 40, 32, 16, 34, 46, 21, 53, 14, 24, 18, 37, 47, 59, 15, 13, 46, 56, 49, 37, 21, 18, 31, 50, 15, 14, 34, 28, 35, 45, 5, 42, 50, 54, 45, 20, 57, 39, 45, 36, 37, 49, 35, 45, 30, 33, 36, 30, 38, 30, 43, 34, 21, 17, 30, 40, 13, 15, 25, 7, 16, 25, 26, 54, 29, 35, 42, 39, 18, 5, 11, 39, 15, 23, 45, 37, 48, 24, 46, 48, 24, 27, 29, 38, 2, 27, 30, 25, 15, 30, 25, 45, 23, 36, 37, 39, 34, 28, 47, 57, 32, 11, 50, 14, 10, 30, 12, 53, 56, 15, 40, 37, 37, 27, 19, 20, 33, 26, 51, 47, 48, 17, 44, 19, 51, 36, 3, 50, 23, 21, 18, 33, 32, 29, 46, 38, 32, 27, 41, 16, 43, 12, 16, 43, 26, 37, 18, 10, 9, 44, 47, 39, 37, 38, 21, 53, 24, 38, 57, 42, 19, 19, 45, 31, 17, 32, 23, 34, 61, 19, 33, 46, 40, 12, 52, 38, 27, 46, 48, 35, 36, 17, 39, 45, 28, 53, 36, 23, 51, 32, 27, 25, 35, 31, 27, 18, 23, 6, 14, 28, 53, 44, 47, 38, 45, 25, 40, 41, 1, 20, 27, 51, 49, 19, 44, 12, 57, 60, 29, 22, 30, 22, 43, 15, 30, 44, 35, 19, 22, 27, 20, 26, 22, 30, 9, 36, 29, 38, 31, 5, 38, 37, 40, 53, 13, 22, 49, 34, 12, 34, 62, 31, 26, 8, 5, 22, 20, 30, 13, 35, 7, 54, 35, 39, 6, 45, 41, 21, 20, 14, 6, 44, 24, 51, 56, 22, 34, 13, 51, 20, 37, 17, 48, 54, 39, 23, 25, 33, 21, 21, 35, 22, 17, 7, 11, 32, 9, 41, 26, 32, 22, 39, 28, 7, 32, 17, 8, 12, 40, 38, 49, 30, 39, 27, 3, 27, 33, 20, 23, 22, 28, 21, 32, 36, 51, 25, 4, 44, 39, 30, 11, 17, 32, 14, 44, 11, 35, 31, 27, 46, 33, 46, 15, 23, 18, 48, 18, 27, 29, 10, 28, 18, 33, 24, 37, 41, 44, 36, 6, 35, 25, 34, 49, 22, 46, 15, 26, 27, 1, 41, 41, 29, 35, 25, 26, 40, 4, 40, 42, 16, 40, 26, 30, 16, 26, 55, 43, 18, 39, 13, 35, 36, 29, 26, 50, 39, 20, 35, 58, 6, 43, 10, 14, 26, 40, 46, 46, 24, 21, 17, 4, 52, 19, 30, 27, 41, 57, 40, 42, 40, 27, 20, 47, 29, 51, 56, 40, 40, 47, 49, 24, 23, 25, 25, 46, 22, 27, 40, 39, 42, 50, 34, 20, 36, 47, 40, 23, 21, 50, 23, 23, 47, 39, 9, 59, 19, 12, 20, 35, 48, 21, 17, 50, 31, 37, 28, 34, 31, 45, 22, 19, 15, 24, 43, 30, 42, 13, 35, 21, 22, 34, 33, 20, 31, 29, 24, 36, 34, 34, 16, 43, 27, 14, 6, 18, 37, 22, 35, 6, 24, 49, 9, 48, 8, 38, 50, 24, 19, 19, 24, 48, 21, 37, 29, 45, 17, 3, 54, 30, 41, 60, 34, 23, 52, 33, 31, 29, 25, 48, 47, 38, 43, 7, 33, 26, 15, 27, 25, 43, 35, 44, 55, 35, 33, 35, 39, 42, 22, 37, 34, 39, 20, 19, 8, 16, 20, 28, 40, 35, 24, 44, 7, 13, 36, 44, 2, 19, 28, 49, 46, 34, 40, 37, 42, 51, 25, 26, 43, 51, 27, 25, 8, 34, 12, 16, 8, 23, 38, 28, 55, 19, 43, 47, 41, 29, 50, 23, 21, 13, 11, 49, 51, 24, 33, 52, 59, 42, 33, 45, 33, 29, 24, 14, 14, 13, 42, 29, 43, 10, 36, 57, 32, 11, 9, 26, 53, 41, 11, 14, 16, 44, 33, 34, 16, 37, 28, 17, 26, 31, 26, 3, 17, 32, 33, 13, 36, 27, 46, 56, 33}

{490, 512, 492, 526, 521, 528, 534, 492, 504, 492, 498, 527, 482, 501, 534, 523, 488, 497, 508, 531, 518, 522, 513, 514, 483, 518, 490, 506, 512, 499, 516, 499, 490, 500, 502, 498, 493, 502, 527, 510, 514, 510, 497, 491, 515, 498, 528, 512, 523, 506, 496, 516, 496, 495, 502, 504, 508, 510, 483, 533, 520, 497, 505, 501, 500, 512, 524, 523, 506, 509, 523, 517, 503, 522, 509, 491, 504, 530, 508, 530, 513, 490, 529, 519, 519, 499, 489, 501, 480, 517, 504, 495, 508, 515, 503, 500, 500, 493, 526, 519, 501, 521, 512, 497, 511, 535, 518, 513, 495, 496, 500, 490, 506, 515, 501, 506, 513, 515, 487, 502, 513, 509, 492, 499, 509, 534, 511, 493, 490, 502, 479, 513, 490, 498, 495, 498, 529, 501, 502, 532, 512, 530, 523, 496, 514, 517, 505, 490, 516, 513, 505, 494, 501, 497, 519, 517, 510, 503, 514, 490, 522, 494, 494, 522, 505, 492, 507, 525, 498, 493, 515, 524, 518, 517, 525, 489, 493, 511, 520, 527, 504, 517, 507, 503, 517, 505, 521, 512, 500, 492, 514, 511, 518, 507, 508, 496, 526, 536, 514, 522, 486, 520, 501, 519, 505, 491, 489, 505, 516, 527, 507, 513, 511, 498, 524, 503, 523, 489, 489, 498, 512, 506, 502, 494, 511, 512, 510, 500, 513, 526, 502, 503, 488, 492, 482, 499, 522, 532, 515, 494, 498, 485, 495, 517, 492, 513, 515, 514, 522, 500, 517, 488, 482, 518, 502, 491, 504, 526, 506, 519, 521, 528, 519, 523, 508, 514, 499, 495, 508, 506, 528, 503, 488, 519, 524, 494, 498, 515, 506, 514, 535, 502, 488, 529, 500, 532, 518, 497, 526, 489, 502, 519, 514, 505, 495, 519, 505, 527, 490, 516, 519, 528, 500, 497, 498, 511, 530, 508, 532, 514, 531, 538, 494, 512, 528, 514, 479, 523, 514, 500, 504, 533, 525, 513, 497, 509, 522, 516, 517, 503, 505, 494, 509, 504, 493, 510, 496, 518, 491, 515, 497, 528, 510, 524, 505, 504, 519, 501, 525, 518, 531, 529, 531, 511, 506, 525, 500, 498, 524, 520, 535, 522, 517, 513, 488, 526, 495, 499, 509, 501, 484, 493, 508, 522, 493, 499, 514, 521, 508, 495, 491, 507, 487, 513, 507, 511, 514, 484, 508, 516, 502, 491, 483, 538, 502, 527, 510, 497, 485, 522, 523, 521, 507, 510, 517, 519, 534, 520, 505, 515, 498, 505, 524, 492, 508, 524, 496, 519, 518, 509, 528, 521, 497, 505, 495, 502, 531, 494, 511, 507, 510, 485, 512, 507, 509, 490, 501, 508, 501, 497, 482, 505, 500, 517, 500, 510, 526, 487, 525, 502, 511, 504, 508, 497, 520, 527, 486, 490, 491, 508, 513, 495, 501, 506, 521, 521, 498, 528, 513, 510, 493, 497, 529, 519, 501, 518, 481, 512, 517, 483, 527, 524, 504, 512, 510, 520, 507, 520, 520, 493, 504, 509, 493, 523, 496, 507, 536, 499, 523, 516, 495, 517, 521, 491, 481, 500, 497, 498, 500, 504, 511, 504, 509, 514, 533, 487, 516, 521, 499, 512, 515, 525, 505, 487, 502, 508, 517, 518, 515, 484, 496, 502, 523, 505, 486, 530, 509, 519, 488, 483, 514, 492, 516, 494, 495, 520, 501, 536, 531, 499, 496, 499, 536, 513, 513, 522, 515, 504, 500, 502, 516, 507, 500, 504, 505, 498, 520, 508, 491, 507, 503, 514, 515, 503, 502, 531, 535, 515, 518, 506, 504, 526, 516, 513, 512, 506, 532, 503, 527, 492, 507, 515, 528, 516, 505, 509, 519, 509, 501, 485, 525, 486, 493, 499, 509, 486, 501, 511, 484, 496, 512, 527, 486, 507, 488, 503, 506, 494, 530, 516, 525, 502, 529, 489, 503, 501, 489, 494, 479, 496, 508, 507, 492, 534, 521, 503, 504, 516, 533, 512, 493, 497, 532, 504, 522, 499, 503, 523, 497, 506, 511, 516, 507, 505, 496, 504, 498, 525, 495, 500, 526, 488, 515, 522, 537, 495, 528, 502, 506, 523, 495, 526, 521, 492, 526, 489, 504, 511, 501, 527, 531, 487, 489, 515, 482, 534, 498, 500, 524, 500, 510, 516, 516, 506, 524, 509, 531, 512, 539, 511, 535, 514, 523, 506, 522, 509, 480, 533, 520, 494, 503, 494, 508, 480, 518, 510, 504, 520, 483, 491, 500, 524, 513, 518, 513, 515, 521, 524, 522, 520, 499, 508, 501, 529, 507, 520, 508, 522, 521, 507, 480, 517, 481, 525, 530, 510, 519, 498, 513, 518, 512, 494, 516, 506, 519, 502, 511, 509, 506, 485, 495, 529, 517, 507, 519, 509, 510, 484, 511, 508, 503, 483, 516, 487, 525, 488, 520, 493, 509, 490, 499, 503, 478, 507, 484, 520, 505, 527, 511, 478, 518, 533, 486, 501, 525, 508, 522, 514, 516, 504, 525, 485, 512, 496, 484, 529, 514, 497, 500, 524, 509, 503, 506, 498, 518, 520, 490, 481, 501, 510, 530, 481, 505, 527, 513, 507, 497, 512, 500, 537, 516, 524, 491, 518, 499, 525, 491, 501, 518, 517, 526, 529, 493, 487, 486, 515, 509, 485, 515, 517, 510, 523, 505, 503, 495, 499, 512, 504, 493, 530, 537, 482, 485, 496, 496, 510, 484, 496, 513, 494, 498, 497, 487, 528, 518, 498, 517, 510, 503, 518, 506, 532, 491, 502, 515, 489, 488, 533, 517, 521, 511, 508, 492, 506, 492, 492, 477, 530, 494, 511, 489, 521, 503, 529, 503, 514, 487, 487, 507, 497, 511, 519, 506, 491, 520, 515, 516, 513, 499, 507, 509, 486, 486, 502, 493, 496, 485, 501, 496, 512, 511, 520, 503, 499, 510, 515, 499, 511, 488, 510, 524, 523, 510, 494, 509, 516, 505, 514, 521, 526, 499, 499, 512, 521, 489, 496, 517, 532, 514, 495}

Returns: 63
{12, 15, 23, 25, 35, 21, 54, 25, 14, 46, 18, 30, 26, 17, 38, 37, 49, 7, 36, 12, 17, 25, 38, 20, 29, 31, 23, 40, 46, 38, 24, 32, 31, 46, 14, 37, 11, 44, 41, 38, 22, 34, 16, 21, 58, 37, 32, 13, 21, 44, 33, 41, 18, 13, 24, 21, 6, 51, 23, 5, 50, 16, 40, 53, 47, 39, 38, 43, 36, 19, 41, 56, 55, 52, 7, 33, 23, 38, 37, 34, 11, 22, 32, 9, 37, 13, 46, 24, 25, 39, 15, 36, 15, 47, 40, 28, 18, 33, 38, 31, 33, 45, 23, 39, 26, 20, 31, 18, 42, 34, 30, 27, 34, 16, 18, 35, 11, 39, 52, 42, 27, 39, 30, 9, 38, 45, 41, 30, 27, 15, 33, 8, 38, 9, 37, 7, 28, 37, 48, 23, 33, 36, 36, 45, 40, 42, 23, 28, 17, 31, 19, 53, 14, 15, 6, 20, 29, 36, 7, 46, 31, 34, 25, 50, 18, 26, 53, 25, 60, 41, 45, 22, 13, 25, 30, 41, 56, 43, 12, 30, 48, 49, 29, 16, 42, 28, 37, 52, 42, 17, 15, 9, 33, 50, 48, 40, 20, 16, 50, 58, 13, 41, 44, 12, 43, 42, 48, 40, 30, 34, 25, 42, 15, 46, 47, 30, 19, 52, 36, 27, 40, 6, 21, 27, 19, 18, 41, 7, 26, 30, 44, 47, 44, 37, 13, 12, 28, 10, 33, 56, 51, 36, 19, 54, 44, 44, 43, 4, 20, 14, 43, 26, 15, 21, 14, 20, 35, 23, 30, 43, 41, 52, 14, 53, 22, 30, 14, 54, 46, 26, 53, 23, 41, 18, 50, 4, 63, 33, 22, 29, 11, 40, 5, 42, 18, 16, 54, 39, 57, 27, 25, 47, 35, 42, 28, 22, 41, 27, 33, 23, 31, 37, 9, 13, 36, 10, 29, 34, 26, 59, 44, 26, 29, 34, 59, 8, 24, 40, 22, 24, 44, 43, 30, 25, 45, 39, 48, 49, 24, 22, 43, 17, 27, 34, 39, 31, 29, 10, 40, 37, 16, 27, 34, 19, 29, 28, 46, 38, 19, 40, 36, 15, 12, 34, 16, 41, 32, 20, 17, 49, 56, 23, 37, 31, 16, 28, 16, 17, 42, 37, 50, 44, 8, 10, 9, 32, 32, 14, 16, 37, 54, 36, 26, 33, 28, 44, 25, 43, 60, 32, 35, 14, 41, 35, 39, 20, 1, 39, 33, 46, 47, 24, 35, 15, 47, 21, 45, 48, 29, 34, 17, 19, 46, 31, 57, 42, 8, 33, 11, 48, 35, 14, 21, 43, 31, 5, 37, 33, 27, 29, 2, 46, 48, 20, 17, 32, 28, 27, 43, 22, 15, 23, 21, 24, 23, 45, 43, 40, 42, 28, 21, 39, 13, 32, 38, 29, 12, 51, 31, 57, 38, 37, 24, 15, 49, 21, 25, 38, 52, 15, 24, 29, 37, 25, 32, 20, 34, 21, 50, 32, 18, 40, 27, 2, 13, 41, 18, 34, 27, 49, 33, 12, 18, 61, 34, 17, 31, 49, 45, 22, 48, 36, 49, 51, 20, 19, 29, 35, 50, 58, 23, 32, 17, 10, 47, 29, 44, 29, 35, 35, 43, 47, 32, 32, 35, 13, 47, 8, 46, 57, 50, 38, 40, 34, 46, 12, 17, 27, 35, 10, 21, 31, 33, 44, 31, 31, 60, 43, 1, 25, 12, 9, 49, 25, 27, 31, 24, 38, 22, 26, 36, 24, 51, 43, 22, 15, 36, 56, 59, 6, 34, 38, 29, 35, 29, 53, 24, 42, 13, 31, 13, 40, 34, 58, 31, 27, 54, 39, 21, 22, 26, 33, 23, 22, 17, 42, 47, 26, 40, 6, 35, 23, 28, 10, 36, 31, 19, 44, 30, 45, 25, 19, 35, 22, 39, 16, 24, 39, 30, 23, 5, 51, 16, 22, 0, 42, 35, 24, 47, 26, 33, 43, 7, 46, 27, 3, 16, 21, 49, 26, 38, 37, 30, 53, 42, 36, 51, 24, 32, 37, 3, 40, 12, 38, 38, 5, 29, 33, 55, 27, 38, 19, 24, 2, 29, 30, 20, 16, 7, 19, 39, 24, 34, 52, 34, 24, 28, 48, 37, 33, 49, 25, 51, 33, 5, 53, 19, 48, 20, 57, 35, 37, 39, 13, 36, 22, 24, 46, 36, 11, 19, 31, 55, 47, 32, 28, 16, 12, 32, 35, 57, 10, 24, 44, 20, 51, 56, 25, 34, 45, 54, 4, 24, 38, 63, 55, 29, 45, 43, 20, 11, 21, 23, 45, 47, 3, 36, 32, 46, 52, 11, 33, 24, 42, 22, 18, 26, 23, 35, 30, 50, 28, 20, 6, 23, 59, 25, 48, 26, 53, 27, 19, 41, 44, 18, 44, 40, 19, 32, 41, 18, 31, 28, 45, 47, 25, 19, 27, 21, 39, 25, 19, 35, 14, 36, 41, 27, 8, 30, 39, 11, 40, 55, 23, 40, 25, 50, 35, 36, 39, 48, 26, 45, 36, 41, 32, 30, 28, 36, 42, 20, 25, 14, 15, 30, 55, 52, 41, 43, 56, 3, 14, 30, 10, 26, 18, 20, 42, 31, 26, 21, 40, 8, 44, 11, 11, 39, 25, 49, 22, 19, 46, 28, 55, 37, 8, 49, 26, 33, 39, 41, 27, 17, 10, 27, 20, 54, 54, 17, 30, 49, 52, 32, 21, 29, 38, 14, 11, 30, 28, 26, 23, 22, 55, 28, 17, 22, 35, 39, 45, 43, 58, 7, 14, 20, 4, 21, 39, 39, 18, 17, 26, 12, 26, 17, 21, 45, 45, 53, 21, 37, 34, 18, 9, 38, 34, 41, 29, 34, 9, 31, 18, 36, 32, 51, 4, 20, 51, 29, 6, 29, 16, 22, 61, 23, 44, 24, 45, 26, 40, 47, 40, 13, 15, 28, 30, 37, 10, 52, 48, 9, 42, 32, 22, 48, 27, 42, 33, 28, 50, 8, 28, 50, 35, 32, 43, 41, 23, 38, 28, 51}

{494, 485, 511, 501, 515, 483, 510, 503, 500, 526, 488, 508, 526, 495, 502, 525, 515, 505, 490, 502, 509, 495, 510, 520, 495, 485, 523, 494, 510, 512, 494, 502, 521, 512, 514, 515, 511, 508, 533, 508, 520, 532, 508, 519, 514, 535, 510, 487, 495, 524, 511, 527, 506, 497, 520, 489, 494, 511, 493, 503, 524, 486, 526, 509, 503, 521, 492, 529, 526, 501, 519, 520, 515, 520, 507, 491, 479, 528, 513, 528, 501, 478, 498, 495, 533, 507, 502, 516, 525, 505, 489, 518, 511, 517, 522, 526, 502, 521, 520, 527, 513, 523, 509, 523, 522, 518, 525, 494, 530, 518, 516, 517, 524, 492, 518, 503, 499, 535, 516, 510, 509, 503, 498, 503, 516, 533, 509, 530, 505, 497, 529, 498, 522, 501, 497, 493, 518, 501, 504, 485, 493, 534, 500, 511, 520, 504, 489, 508, 505, 495, 517, 511, 490, 515, 500, 508, 521, 504, 495, 524, 493, 522, 519, 526, 484, 490, 521, 483, 516, 521, 529, 510, 489, 497, 502, 513, 518, 505, 504, 496, 528, 507, 487, 488, 536, 494, 493, 514, 502, 491, 507, 499, 525, 504, 510, 514, 510, 502, 508, 512, 509, 507, 526, 492, 515, 520, 502, 508, 506, 494, 517, 506, 495, 518, 521, 514, 497, 526, 496, 507, 532, 506, 481, 527, 487, 500, 497, 503, 480, 500, 498, 515, 506, 527, 503, 500, 492, 508, 505, 522, 519, 492, 515, 518, 504, 534, 497, 498, 502, 504, 533, 516, 499, 513, 508, 512, 511, 497, 528, 503, 523, 512, 496, 525, 486, 488, 488, 524, 520, 486, 513, 515, 537, 498, 510, 500, 517, 501, 504, 515, 509, 502, 501, 500, 486, 500, 520, 507, 515, 501, 515, 511, 521, 498, 514, 484, 531, 519, 489, 519, 531, 519, 509, 513, 512, 494, 501, 512, 500, 515, 528, 492, 505, 500, 517, 504, 524, 528, 496, 480, 516, 507, 492, 481, 519, 509, 508, 511, 506, 514, 535, 489, 499, 498, 537, 503, 517, 492, 510, 511, 490, 497, 510, 513, 519, 522, 530, 506, 505, 538, 494, 491, 508, 504, 506, 529, 516, 498, 497, 513, 510, 487, 507, 519, 494, 506, 514, 483, 522, 531, 522, 512, 506, 500, 493, 532, 508, 506, 484, 495, 512, 516, 524, 497, 486, 510, 523, 519, 518, 492, 517, 510, 535, 525, 517, 496, 501, 511, 519, 500, 527, 508, 501, 493, 525, 509, 521, 522, 503, 526, 499, 499, 516, 511, 519, 534, 502, 507, 491, 524, 533, 492, 493, 523, 509, 497, 503, 527, 525, 511, 498, 532, 526, 516, 511, 520, 482, 503, 511, 494, 501, 481, 501, 488, 491, 525, 499, 534, 514, 488, 507, 497, 495, 522, 534, 513, 496, 513, 507, 511, 524, 509, 484, 509, 503, 515, 485, 500, 522, 513, 512, 491, 505, 509, 500, 514, 516, 485, 506, 514, 512, 524, 521, 502, 493, 503, 508, 490, 489, 525, 531, 488, 492, 517, 520, 493, 489, 529, 513, 480, 520, 502, 519, 523, 488, 495, 499, 535, 528, 518, 477, 524, 513, 502, 523, 525, 530, 529, 527, 505, 513, 509, 488, 528, 499, 499, 507, 496, 508, 517, 520, 496, 512, 488, 528, 512, 507, 513, 489, 498, 511, 491, 495, 532, 505, 497, 514, 501, 499, 505, 506, 497, 517, 513, 485, 499, 486, 518, 506, 502, 532, 496, 527, 521, 512, 505, 514, 516, 513, 504, 492, 498, 497, 529, 493, 515, 492, 524, 501, 515, 511, 506, 530, 520, 501, 523, 508, 515, 497, 492, 506, 503, 505, 490, 503, 528, 529, 518, 500, 502, 523, 521, 520, 510, 520, 529, 503, 518, 494, 507, 493, 507, 519, 518, 495, 498, 502, 493, 526, 483, 495, 507, 504, 522, 500, 526, 509, 518, 519, 512, 515, 525, 501, 504, 483, 501, 496, 517, 527, 482, 532, 529, 520, 507, 512, 524, 517, 482, 496, 499, 503, 504, 498, 504, 494, 505, 523, 487, 511, 491, 536, 485, 478, 500, 507, 484, 504, 510, 499, 493, 499, 498, 514, 506, 502, 514, 504, 530, 521, 509, 521, 487, 505, 517, 499, 517, 481, 512, 480, 513, 491, 523, 519, 505, 510, 508, 500, 514, 508, 505, 511, 523, 521, 513, 530, 500, 512, 510, 494, 531, 521, 506, 522, 514, 486, 525, 512, 521, 534, 527, 514, 502, 510, 526, 515, 517, 509, 501, 531, 506, 495, 505, 507, 503, 505, 497, 530, 486, 522, 510, 493, 499, 490, 508, 488, 482, 510, 503, 493, 522, 514, 512, 492, 496, 513, 519, 511, 516, 494, 519, 487, 519, 525, 522, 504, 502, 518, 483, 506, 499, 516, 513, 498, 505, 501, 507, 489, 495, 479, 539, 499, 491, 495, 494, 522, 495, 493, 494, 524, 525, 503, 496, 519, 499, 498, 479, 518, 507, 498, 527, 518, 520, 515, 506, 511, 518, 518, 528, 528, 496, 484, 489, 498, 487, 510, 523, 508, 505, 509, 514, 499, 512, 486, 490, 498, 490, 482, 532, 487, 504, 487, 536, 492, 520, 489, 507, 513, 491, 523, 516, 509, 506, 490, 509, 517, 500, 509, 514, 533, 501, 501, 515, 517, 496, 511, 490, 522, 516, 487, 490, 505, 524, 490, 503, 485, 530, 486, 497, 512, 524, 484, 517, 500, 513, 502, 501, 502, 497, 533, 499, 517, 516, 497, 502, 494, 504, 491, 531, 529, 496, 485, 508, 490, 488, 515, 499, 509, 517, 523, 521, 537, 508, 514, 505, 538, 496, 517, 483, 506, 507, 517, 510, 536, 526, 521, 496, 500, 509, 527, 498, 489, 516, 482, 515, 495, 500, 504, 531, 496, 530, 531, 516, 491, 503, 510, 504, 491, 504, 518, 506, 491, 518, 512, 498, 514, 481, 516, 523, 484, 516, 508, 516, 512, 513, 504, 527, 515, 501, 514, 496, 515}

Returns: 64
{353, 532, 162, 707, 93, 877, 994, 600, 729, 638, 541, 263, 934, 877, 867, 700, 261, 444, 163, 968, 212, 712, 253, 202, 463, 886, 315, 364, 457, 375, 245, 329, 125, 306, 678, 893, 376, 889, 166, 688, 953, 479, 745, 420, 683, 272, 104, 361, 355, 524, 529, 176, 281, 451, 893, 39, 959, 409, 991, 569, 614, 976, 118, 705, 846, 758, 417, 39, 447, 704, 444, 161, 447, 344, 823, 958, 120, 576, 469, 410, 534, 226, 204, 607, 773, 699, 263, 972, 273, 781, 770, 219, 539, 108, 86, 483, 465, 290, 401, 573, 368, 291, 527, 215, 838, 96, 51, 385, 198, 201, 199, 950, 797, 478, 832, 961, 593, 864, 445, 148, 458, 621, 651, 47, 773, 14, 367, 859, 346, 87, 514, 945, 854, 339, 747, 578, 121, 658, 442, 160, 60, 866, 587, 869, 231, 69, 272, 453, 142, 675, 722, 27, 333, 616, 459, 397, 182, 80, 779, 425, 417, 940, 399, 175, 622, 391, 802, 723, 898, 172, 467, 59, 885, 179, 661, 900, 884, 923, 567, 250, 61, 184, 774, 925, 235, 630, 328, 819, 601, 957, 367, 162, 628, 265, 472, 387, 272, 914, 342, 952, 75, 990, 372, 978, 443, 887, 336, 716, 5, 510, 126, 293, 139, 748, 371, 45, 883, 966, 595, 81, 816, 500, 613, 234, 550, 505, 927, 792, 666, 695, 189, 570, 835, 233, 92, 663, 679, 7, 889, 803, 576, 48, 244, 523, 136, 408, 248, 335, 793, 293, 794, 849, 459, 187, 46, 419, 638, 596, 153, 402, 27, 983, 869, 978, 857, 939, 71, 704, 125, 265, 62, 630, 956, 525, 62, 409, 255, 492, 991, 370, 17, 161, 937, 502, 766, 963, 252, 53, 450, 625, 853, 103, 650, 270, 960, 438, 691, 574, 354, 739, 813, 755, 338, 472, 645, 598, 783, 213, 763, 20, 888, 402, 839, 106, 590, 61, 129, 478, 708, 15, 675, 347, 406, 1, 782, 95, 342, 412, 672, 502, 63, 683, 398, 127, 384, 593, 407, 597, 805, 95, 102, 695, 643, 252, 739, 38, 530, 10, 41, 462, 191, 548, 280, 260, 507, 954, 511, 61, 565, 760, 889, 299, 330, 143, 988, 376, 196, 838, 379, 457, 541, 360, 465, 712, 995, 349, 897, 171, 510, 432, 426, 4, 484, 377, 158, 104, 520, 154, 360, 73, 162, 440, 901, 329, 710, 713, 280, 298, 868, 275, 368, 155, 937, 776, 491, 744, 115, 79, 894, 9, 675, 569, 695, 778, 488, 54, 889, 9, 718, 786, 765, 797, 545, 186, 529, 43, 53, 844, 256, 616, 582, 270, 315, 861, 21, 442, 239, 546, 750, 238, 338, 234, 51, 798, 856, 754, 874, 78, 923, 818, 378, 522, 259, 658, 423, 398, 861, 846, 307, 588, 700, 44, 752, 540, 149, 471, 377, 622, 148, 234, 163, 946, 722, 679, 424, 333, 702, 405, 931, 365, 159, 696, 151, 998, 179, 270, 719, 211, 166, 468, 521, 332, 197, 312, 902, 926, 616, 187, 707, 386, 1, 24, 498, 983, 4, 296, 389, 208, 195, 999, 62, 691, 220, 204, 809, 790, 255, 75, 396, 23, 449, 190, 265, 427, 88, 973, 608, 416, 520, 161, 229, 367, 273, 419, 769, 846, 345, 138, 963, 601, 547, 748, 583, 713, 926, 418, 96, 189, 967, 938, 449, 62, 593, 239, 874, 19, 631, 364, 676, 838, 299, 509, 392, 701, 70, 878, 262, 266, 841, 645, 114, 544, 277, 945, 412, 430, 399, 924, 513, 790, 894, 958, 426, 65, 1, 432, 782, 764, 694, 588, 340, 381, 851, 272, 3, 964, 14, 291, 251, 835, 355, 319, 986, 101, 150, 233, 44, 882, 277, 937, 164, 730, 426, 282, 608, 699, 922, 288, 627, 655, 419, 78, 613, 254, 220, 133, 324, 801, 586, 492, 368, 286, 240, 684, 952, 452, 961, 399, 285, 122, 76, 7, 916, 938, 852, 571, 72, 966, 44, 505, 980, 54, 484, 670, 495, 534, 885, 250, 120, 912, 94, 820, 697, 495, 906, 460, 790, 681, 697, 481, 516, 861, 281, 360, 56, 125, 520, 852, 144, 700, 938, 680, 313, 220, 672, 456, 760, 921, 170, 625, 887, 320, 702, 346, 37, 795, 153, 662, 129, 616, 356, 840, 888, 494, 717, 447, 78, 220, 178, 71, 656, 228, 17, 23, 557, 371, 300, 685, 717, 109, 860, 832, 152, 719, 734, 996, 486, 782, 326, 328, 80, 421, 62, 934, 581, 368, 89, 959, 6, 788, 285, 270, 431, 264, 444, 952, 232, 39, 470, 578, 983, 499, 917, 573, 162, 905, 719, 868, 128, 95, 881, 430, 701, 517, 14, 187, 507, 139, 434, 300, 792, 891, 29, 129, 546, 957, 759, 377, 624, 606, 69, 155, 740, 301, 72, 665, 651, 94, 517, 904, 484, 633, 912, 940, 712, 214, 520, 569, 836, 802, 622, 303, 762, 837, 160, 554, 437, 622, 285, 593, 674, 343, 135, 767, 189, 880, 232, 823, 872, 763, 366, 286, 491, 448, 334, 376, 662, 157, 845, 771, 423, 271, 199, 669, 482, 610, 176, 411, 469, 640, 241, 364, 310, 876, 308, 689, 716, 760, 558, 27, 118, 249, 930, 401, 203, 839, 416, 34, 424, 743, 576, 896, 951, 114, 235, 997, 849, 530, 194, 198, 106, 360, 95, 985, 905, 36, 974, 457, 917, 645, 328, 546, 421, 419, 319, 182, 467, 489, 341, 760, 589, 100, 157, 964, 268, 308, 394, 746, 642, 233, 34, 502, 88, 552, 907, 194, 259, 243, 241, 73, 385, 210, 796, 39, 410, 466, 225, 624, 321, 842, 372, 483, 896, 373, 600, 52, 139, 56, 410, 74, 277, 613, 621, 649, 479, 630, 340, 689, 508, 664, 626, 110, 873, 84, 374, 821, 691, 612, 652, 38, 609, 36, 184, 441, 741, 659, 484, 325, 335, 112, 904, 107, 377, 81, 263, 316, 798, 792, 27, 377, 117, 865, 225, 874 }

{413, 739, 43, 851, 348, 809, 762, 905, 668, 389, 480, 654, 184, 37, 609, 945, 294, 277, 931, 85, 967, 366, 608, 900, 835, 480, 920, 155, 127, 504, 418, 605, 277, 149, 277, 351, 363, 126, 198, 83, 863, 331, 449, 883, 525, 843, 772, 282, 952, 502, 926, 685, 317, 18, 603, 816, 510, 339, 591, 548, 876, 250, 887, 622, 56, 522, 391, 684, 290, 754, 394, 310, 674, 998, 283, 676, 584, 591, 76, 340, 219, 632, 344, 496, 708, 829, 924, 165, 616, 935, 513, 879, 923, 611, 729, 865, 568, 68, 362, 362, 275, 658, 702, 838, 328, 992, 422, 546, 703, 109, 632, 197, 212, 281, 557, 812, 301, 784, 415, 12, 89, 889, 490, 995, 278, 249, 759, 215, 930, 702, 847, 810, 179, 385, 165, 40, 169, 543, 222, 511, 794, 694, 500, 783, 619, 367, 392, 491, 163, 886, 250, 242, 736, 556, 76, 952, 163, 704, 154, 534, 594, 14, 25, 530, 767, 594, 54, 910, 713, 196, 221, 494, 109, 897, 456, 14, 666, 460, 969, 246, 276, 258, 675, 368, 914, 491, 221, 404, 205, 807, 599, 450, 168, 779, 627, 940, 169, 196, 221, 415, 859, 423, 745, 424, 228, 516, 712, 241, 971, 432, 359, 890, 475, 256, 124, 861, 433, 637, 166, 898, 528, 591, 602, 161, 323, 288, 135, 960, 958, 791, 329, 642, 719, 686, 375, 192, 233, 620, 352, 651, 553, 487, 403, 681, 878, 23, 118, 230, 126, 417, 830, 479, 275, 131, 797, 488, 921, 210, 561, 464, 150, 178, 565, 491, 473, 146, 311, 438, 323, 507, 76, 728, 135, 111, 270, 874, 114, 786, 687, 812, 916, 130, 459, 986, 179, 563, 915, 323, 743, 614, 627, 561, 619, 277, 858, 826, 58, 324, 529, 923, 107, 519, 161, 385, 2, 861, 53, 980, 500, 264, 91, 909, 441, 361, 880, 530, 644, 972, 897, 340, 892, 838, 63, 978, 402, 757, 9, 555, 67, 619, 76, 967, 644, 91, 1, 790, 886, 300, 96, 313, 480, 615, 43, 654, 310, 916, 867, 36, 934, 113, 117, 647, 872, 144, 293, 355, 669, 866, 262, 185, 621, 517, 807, 453, 79, 529, 517, 511, 611, 726, 222, 637, 438, 253, 559, 885, 50, 319, 275, 192, 30, 330, 921, 121, 305, 864, 727, 868, 47, 248, 766, 658, 918, 124, 25, 950, 280, 929, 161, 688, 583, 285, 822, 204, 866, 383, 774, 448, 536, 121, 260, 229, 892, 342, 22, 645, 503, 394, 405, 127, 268, 461, 759, 228, 911, 246, 911, 650, 939, 490, 447, 524, 472, 621, 203, 676, 710, 176, 544, 45, 247, 818, 34, 384, 852, 569, 81, 628, 607, 610, 913, 177, 704, 495, 48, 580, 333, 248, 148, 956, 547, 695, 406, 720, 495, 907, 785, 550, 310, 527, 567, 506, 920, 921, 415, 959, 226, 462, 407, 203, 525, 503, 940, 303, 73, 547, 240, 348, 139, 874, 632, 422, 525, 292, 892, 503, 175, 6, 250, 524, 880, 829, 491, 187, 800, 569, 774, 211, 4, 434, 895, 356, 826, 519, 867, 545, 606, 100, 201, 100, 465, 659, 304, 921, 571, 357, 713, 19, 824, 165, 51, 469, 777, 225, 860, 152, 938, 146, 707, 638, 197, 994, 601, 85, 698, 780, 242, 179, 286, 656, 163, 920, 119, 78, 22, 185, 452, 196, 336, 51, 878, 853, 5, 819, 323, 775, 729, 362, 844, 670, 96, 723, 451, 295, 634, 978, 852, 388, 361, 601, 428, 613, 922, 535, 856, 616, 349, 941, 806, 335, 619, 517, 229, 354, 219, 979, 915, 583, 159, 500, 777, 296, 619, 566, 475, 652, 270, 716, 537, 904, 572, 791, 342, 658, 683, 314, 143, 70, 350, 368, 519, 284, 63, 721, 691, 556, 812, 355, 953, 507, 132, 819, 743, 364, 694, 908, 563, 565, 955, 239, 980, 519, 724, 786, 776, 92, 905, 993, 292, 224, 592, 308, 738, 439, 821, 780, 67, 281, 33, 920, 517, 772, 634, 409, 302, 755, 70, 411, 943, 626, 77, 732, 204, 901, 981, 458, 222, 942, 140, 591, 655, 233, 789, 644, 660, 663, 707, 410, 8, 797, 447, 867, 664, 665, 477, 459, 424, 382, 806, 14, 701, 876, 651, 634, 79, 941, 352, 387, 841, 719, 505, 537, 182, 627, 307, 90, 917, 680, 240, 609, 801, 511, 526, 946, 651, 919, 175, 938, 478, 532, 648, 85, 880, 128, 774, 511, 521, 96, 372, 349, 318, 252, 556, 128, 942, 246, 490, 400, 116, 118, 47, 150, 177, 689, 111, 859, 187, 652, 252, 802, 928, 608, 38, 504, 919, 398, 46, 444, 413, 723, 163, 619, 343, 633, 13, 187, 765, 497, 692, 51, 783, 529, 222, 928, 933, 324, 135, 871, 47, 257, 352, 492, 75, 825, 216, 892, 342, 466, 67, 609, 988, 757, 657, 177, 510, 613, 550, 966, 355, 624, 172, 472, 331, 284, 405, 404, 136, 42, 385, 16, 611, 297, 136, 643, 19, 423, 978, 954, 192, 14, 553, 743, 489, 537, 412, 582, 112, 747, 162, 267, 669, 641, 144, 511, 796, 340, 330, 611, 167, 402, 444, 624, 959, 641, 402, 555, 652, 706, 705, 725, 862, 532, 681, 506, 837, 385, 536, 188, 574, 729, 666, 59, 900, 53, 625, 931, 18, 362, 717, 933, 841, 972, 429, 842, 855, 589, 775, 409, 877, 214, 720, 520, 529, 501, 835, 826, 36, 529, 650, 393, 446, 146, 890, 130, 551, 187, 126, 60, 564, 177, 98, 94, 387, 541, 901, 222, 56, 587, 981, 837, 512, 976, 169, 427, 472, 778, 763, 627, 848, 348, 367, 609, 498, 42, 150, 555, 154, 981, 130, 377, 458, 918, 594, 165, 690, 402, 993, 900, 549, 309, 124, 419, 130, 1, 730, 99, 415, 420, 380, 270, 941, 253, 684, 468, 260, 927, 491, 685, 254, 218, 190, 526, 757, 177 }

Returns: 8
{0, 1, 1, 2, 3, 4, 5, 5, 6, 7, 8, 9, 9, 10, 12, 13, 17, 17, 18, 18, 19, 19, 21, 23, 23, 24, 24, 24, 25, 26, 27, 30, 31, 32, 33, 35, 35, 36, 40, 40, 41, 41, 41, 42, 43, 45, 45, 48, 49, 50, 50, 53, 54, 55, 56, 57, 58, 58, 58, 58, 59, 59, 60, 60, 67, 68, 69, 69, 70, 70, 71, 71, 73, 76, 76, 77, 78, 80, 82, 86, 86, 87, 89, 89, 94, 94, 94, 95, 97, 97, 97, 98, 98, 99, 99, 100, 101, 101, 101, 103, 103, 103, 103, 103, 104, 112, 113, 114, 114, 114, 115, 116, 116, 117, 118, 119, 119, 120, 121, 121, 123, 125, 125, 125, 125, 125, 126, 126, 129, 130, 131, 132, 132, 133, 133, 134, 135, 137, 137, 138, 139, 141, 142, 142, 144, 145, 146, 146, 147, 147, 147, 149, 150, 151, 152, 153, 154, 154, 154, 157, 157, 158, 162, 163, 163, 163, 164, 164, 164, 165, 165, 166, 166, 167, 167, 167, 168, 170, 171, 171, 172, 173, 173, 175, 176, 178, 179, 179, 180, 180, 181, 182, 183, 183, 184, 185, 185, 188, 188, 188, 190, 190, 191, 191, 191, 191, 192, 192, 194, 197, 197, 198, 204, 205, 208, 209, 209, 209, 212, 214, 215, 216, 216, 217, 218, 219, 220, 220, 220, 221, 222, 223, 223, 224, 224, 225, 226, 227, 229, 229, 231, 233, 233, 233, 234, 239, 239, 240, 240, 241, 243, 243, 243, 243, 244, 245, 245, 245, 245, 247, 247, 249, 249, 249, 251, 251, 252, 252, 253, 253, 254, 255, 257, 257, 258, 259, 259, 262, 264, 264, 270, 271, 272, 272, 272, 273, 275, 276, 277, 278, 278, 279, 279, 281, 281, 284, 284, 285, 285, 285, 287, 288, 290, 292, 293, 293, 294, 295, 296, 296, 297, 297, 298, 303, 304, 305, 306, 306, 307, 307, 307, 307, 308, 308, 309, 309, 310, 312, 313, 313, 316, 318, 323, 323, 324, 324, 333, 334, 334, 334, 335, 337, 337, 339, 339, 342, 342, 344, 345, 346, 347, 348, 349, 349, 351, 352, 352, 352, 353, 355, 357, 357, 357, 357, 358, 359, 359, 360, 362, 364, 364, 364, 365, 365, 366, 367, 369, 370, 370, 370, 371, 375, 375, 375, 376, 379, 379, 382, 382, 382, 382, 383, 386, 387, 388, 389, 395, 395, 397, 398, 399, 402, 402, 404, 405, 406, 406, 407, 407, 409, 411, 411, 411, 413, 413, 415, 416, 420, 424, 424, 425, 426, 427, 428, 429, 429, 430, 430, 431, 432, 433, 433, 435, 436, 436, 437, 437, 438, 438, 440, 441, 442, 442, 442, 443, 444, 445, 445, 445, 448, 448, 449, 449, 450, 454, 454, 455, 455, 456, 458, 459, 460, 461, 462, 463, 464, 465, 467, 468, 471, 474, 476, 476, 477, 481, 481, 482, 488, 488, 489, 491, 492, 492, 495, 495, 498, 498, 502, 502, 504, 504, 506, 506, 508, 509, 511, 512, 512, 512, 513, 513, 513, 514, 514, 514, 515, 516, 517, 518, 518, 519, 519, 519, 520, 521, 521, 522, 522, 523, 524, 524, 525, 527, 529, 530, 531, 531, 532, 533, 536, 536, 538, 539, 539, 541, 541, 542, 542, 545, 546, 547, 547, 551, 553, 553, 555, 555, 556, 556, 557, 557, 558, 558, 558, 561, 563, 563, 565, 566, 568, 568, 570, 570, 571, 573, 576, 576, 577, 578, 581, 581, 582, 583, 584, 584, 585, 585, 586, 586, 586, 587, 589, 590, 590, 591, 591, 591, 592, 594, 595, 596, 596, 596, 597, 597, 599, 600, 600, 600, 601, 601, 602, 603, 604, 604, 604, 605, 605, 606, 607, 609, 609, 611, 611, 612, 612, 615, 615, 616, 616, 616, 620, 620, 621, 624, 625, 626, 627, 629, 630, 630, 630, 632, 634, 636, 636, 636, 637, 639, 639, 640, 641, 642, 643, 645, 645, 648, 650, 652, 653, 654, 655, 655, 656, 657, 657, 657, 660, 660, 660, 661, 662, 663, 664, 667, 667, 667, 668, 669, 670, 671, 671, 671, 672, 673, 677, 678, 678, 679, 680, 680, 681, 684, 686, 686, 686, 687, 687, 687, 689, 691, 692, 693, 693, 693, 694, 694, 695, 696, 696, 697, 697, 698, 701, 703, 703, 703, 703, 704, 705, 705, 705, 706, 706, 708, 709, 713, 713, 714, 715, 717, 718, 718, 719, 719, 720, 720, 720, 721, 721, 723, 723, 724, 724, 724, 727, 728, 728, 728, 729, 729, 730, 731, 731, 731, 732, 733, 734, 735, 736, 737, 738, 738, 740, 741, 741, 742, 744, 744, 744, 744, 745, 746, 746, 746, 747, 748, 749, 749, 751, 752, 754, 754, 754, 754, 755, 755, 755, 756, 761, 761, 763, 763, 766, 767, 768, 769, 770, 770, 773, 773, 775, 775, 775, 775, 776, 776, 777, 778, 779, 779, 784, 785, 786, 786, 788, 788, 789, 790, 791, 791, 792, 792, 793, 793, 794, 796, 799, 799, 800, 801, 805, 805, 805, 805, 808, 809, 809, 811, 812, 816, 817, 819, 819, 819, 820, 820, 823, 824, 825, 825, 825, 826, 827, 831, 831, 832, 833, 835, 835, 835, 839, 843, 844, 845, 846, 846, 846, 847, 848, 848, 848, 852, 852, 853, 854, 854, 854, 857, 858, 859, 860, 860, 861, 861, 861, 864, 868, 868, 868, 869, 870, 872, 872, 872, 872, 874, 876, 878, 878, 878, 878, 880, 880, 882, 883, 884, 885, 886, 886, 887, 888, 891, 892, 893, 893, 896, 896, 896, 897, 897, 897, 898, 902, 903, 903, 904, 907, 908, 909, 909, 912, 912, 912, 912, 914, 914, 915, 915, 915, 916, 916, 919, 919, 919, 920, 921, 922, 922, 922, 923, 926, 929, 931, 931, 932, 934, 935, 938, 940, 941, 942, 942, 943, 945, 945, 946, 947, 949, 949, 950, 951, 954, 960, 961, 962, 963, 964, 964, 964, 966, 967, 969, 972, 972, 973, 974, 977, 977, 978, 978, 980, 980, 981, 982, 983, 984, 984, 985, 985, 989, 989, 990, 990, 992, 993, 995, 995, 997, 998 }

{6, 755, 891, 916, 182, 806, 171, 218, 505, 352, 403, 9, 609, 336, 849, 936, 501, 593, 357, 404, 494, 948, 516, 220, 850, 454, 481, 661, 368, 808, 90, 893, 22, 34, 5, 32, 708, 132, 370, 385, 100, 271, 534, 413, 552, 246, 436, 131, 152, 580, 801, 50, 842, 346, 210, 713, 74, 481, 542, 693, 39, 444, 155, 236, 270, 577, 798, 871, 482, 491, 248, 771, 225, 426, 883, 483, 719, 164, 657, 206, 588, 932, 319, 368, 216, 311, 946, 455, 162, 621, 802, 50, 343, 100, 774, 51, 22, 331, 605, 137, 786, 803, 951, 990, 425, 335, 999, 75, 651, 845, 219, 227, 339, 64, 672, 271, 926, 846, 289, 923, 193, 64, 678, 778, 836, 883, 312, 695, 799, 231, 75, 539, 940, 170, 780, 352, 98, 333, 491, 568, 519, 67, 400, 600, 989, 418, 251, 903, 27, 495, 698, 513, 172, 239, 250, 226, 231, 345, 595, 323, 618, 519, 105, 213, 678, 769, 372, 802, 964, 416, 675, 992, 998, 72, 280, 860, 131, 917, 616, 826, 51, 417, 976, 10, 704, 484, 286, 995, 300, 539, 305, 638, 231, 628, 792, 459, 734, 653, 933, 987, 204, 681, 132, 239, 512, 761, 444, 670, 526, 74, 907, 947, 391, 632, 219, 478, 626, 879, 909, 100, 54, 400, 628, 804, 474, 661, 255, 461, 524, 465, 786, 83, 151, 380, 584, 492, 615, 281, 53, 310, 715, 347, 735, 768, 6, 212, 720, 506, 988, 971, 39, 238, 535, 711, 414, 365, 453, 781, 914, 183, 536, 74, 247, 377, 226, 503, 744, 967, 213, 520, 798, 118, 14, 476, 717, 250, 335, 30, 180, 349, 492, 603, 511, 953, 996, 634, 798, 819, 326, 888, 962, 66, 78, 514, 930, 514, 719, 35, 44, 528, 603, 714, 469, 419, 852, 937, 933, 833, 758, 955, 68, 223, 403, 47, 720, 228, 419, 852, 541, 689, 887, 902, 33, 783, 523, 789, 851, 561, 132, 366, 167, 9, 19, 990, 12, 775, 424, 85, 218, 580, 103, 619, 760, 44, 197, 335, 908, 235, 220, 194, 117, 967, 29, 60, 192, 75, 87, 397, 266, 89, 70, 119, 143, 861, 801, 152, 680, 162, 828, 179, 711, 764, 126, 919, 623, 588, 778, 100, 104, 542, 997, 296, 460, 462, 819, 167, 398, 143, 402, 746, 864, 705, 386, 720, 693, 634, 373, 922, 33, 972, 566, 492, 838, 77, 706, 569, 704, 86, 991, 611, 53, 140, 153, 331, 600, 34, 812, 558, 139, 284, 642, 982, 472, 536, 644, 985, 89, 525, 875, 139, 35, 603, 853, 734, 850, 355, 931, 509, 651, 236, 57, 246, 330, 928, 925, 677, 696, 862, 934, 484, 632, 561, 867, 553, 675, 790, 63, 945, 183, 410, 869, 771, 489, 968, 82, 88, 16, 500, 767, 483, 179, 213, 631, 172, 248, 657, 381, 210, 295, 34, 894, 475, 946, 4, 920, 412, 734, 455, 900, 313, 800, 140, 230, 405, 18, 227, 311, 637, 840, 232, 282, 679, 495, 778, 953, 527, 537, 958, 19, 866, 804, 890, 911, 555, 286, 980, 17, 121, 682, 445, 725, 35, 888, 355, 100, 48, 149, 668, 968, 275, 553, 551, 136, 274, 519, 807, 331, 440, 623, 749, 98, 601, 965, 211, 893, 336, 767, 424, 434, 45, 494, 365, 416, 541, 666, 625, 787, 830, 424, 510, 724, 0, 443, 123, 8, 150, 241, 649, 926, 497, 963, 983, 279, 6, 77, 50, 494, 473, 873, 944, 728, 75, 225, 295, 548, 859, 954, 887, 907, 797, 86, 196, 323, 76, 484, 280, 344, 493, 684, 20, 553, 232, 715, 62, 230, 839, 763, 849, 311, 460, 214, 880, 378, 904, 302, 652, 188, 353, 788, 971, 997, 61, 690, 320, 343, 488, 975, 357, 479, 449, 537, 919, 140, 154, 388, 820, 945, 914, 7, 989, 604, 997, 500, 409, 424, 811, 496, 289, 318, 65, 326, 185, 808, 555, 78, 109, 327, 6, 115, 737, 78, 866, 205, 820, 294, 334, 472, 791, 547, 120, 24, 702, 708, 724, 788, 862, 923, 976, 763, 627, 954, 329, 92, 509, 635, 914, 98, 254, 422, 785, 33, 160, 527, 637, 737, 291, 379, 634, 464, 974, 106, 159, 763, 235, 353, 370, 399, 899, 65, 12, 208, 810, 646, 692, 166, 366, 539, 921, 569, 250, 191, 445, 603, 351, 434, 63, 610, 969, 172, 441, 689, 806, 192, 240, 271, 395, 339, 716, 852, 289, 578, 128, 82, 275, 369, 161, 775, 585, 263, 605, 94, 126, 255, 426, 501, 615, 111, 28, 92, 236, 339, 235, 45, 626, 725, 433, 511, 173, 400, 860, 414, 95, 451, 774, 988, 668, 679, 993, 471, 785, 976, 553, 787, 368, 152, 708, 219, 759, 823, 484, 972, 289, 342, 618, 926, 604, 810, 524, 75, 106, 170, 845, 114, 424, 619, 8, 636, 589, 818, 268, 658, 82, 984, 498, 615, 929, 849, 318, 785, 298, 673, 393, 431, 800, 874, 666, 708, 824, 694, 52, 742, 162, 91, 726, 882, 156, 509, 453, 661, 658, 775, 788, 137, 369, 43, 258, 299, 182, 371, 565, 725, 161, 370, 306, 561, 191, 285, 834, 558, 81, 272, 738, 386, 412, 550, 128, 427, 883, 252, 858, 759, 212, 611, 51, 214, 628, 809, 37, 210, 269, 392, 374, 153, 180, 352, 766, 770, 369, 120, 804, 962, 981, 93, 113, 297, 769, 767, 415, 472, 912, 394, 386, 326, 735, 157, 375, 346, 775, 920, 268, 528, 750, 591, 943, 233, 355, 265, 530, 768, 590, 844, 241, 254, 313, 816, 265, 537, 559, 601, 684, 109, 653, 29, 454, 686, 952, 587, 31, 341, 824, 952, 261, 418, 191, 586, 5, 899, 458, 245, 639, 200, 19, 445, 767, 914, 980, 180, 238, 2, 926, 5, 989, 106, 6, 960, 376, 209, 208, 540, 867, 354, 902, 256, 167, 219, 426, 393, 31, 123, 227, 300, 38, 494, 518, 868, 632, 276, 892, 528, 758, 537, 733, 576, 999, 166, 137, 169, 983, 831, 499 }

Returns: 10
{413, 739, 43, 851, 348, 809, 762, 905, 668, 389, 480, 654, 184, 37, 609, 945, 294, 277, 931, 85, 967, 366, 608, 900, 835, 480, 920, 155, 127, 504, 418, 605, 277, 149, 277, 351, 363, 126, 198, 83, 863, 331, 449, 883, 525, 843, 772, 282, 952, 502, 926, 685, 317, 18, 603, 816, 510, 339, 591, 548, 876, 250, 887, 622, 56, 522, 391, 684, 290, 754, 394, 310, 674, 998, 283, 676, 584, 591, 76, 340, 219, 632, 344, 496, 708, 829, 924, 165, 616, 935, 513, 879, 923, 611, 729, 865, 568, 68, 362, 362, 275, 658, 702, 838, 328, 992, 422, 546, 703, 109, 632, 197, 212, 281, 557, 812, 301, 784, 415, 12, 89, 889, 490, 995, 278, 249, 759, 215, 930, 702, 847, 810, 179, 385, 165, 40, 169, 543, 222, 511, 794, 694, 500, 783, 619, 367, 392, 491, 163, 886, 250, 242, 736, 556, 76, 952, 163, 704, 154, 534, 594, 14, 25, 530, 767, 594, 54, 910, 713, 196, 221, 494, 109, 897, 456, 14, 666, 460, 969, 246, 276, 258, 675, 368, 914, 491, 221, 404, 205, 807, 599, 450, 168, 779, 627, 940, 169, 196, 221, 415, 859, 423, 745, 424, 228, 516, 712, 241, 971, 432, 359, 890, 475, 256, 124, 861, 433, 637, 166, 898, 528, 591, 602, 161, 323, 288, 135, 960, 958, 791, 329, 642, 719, 686, 375, 192, 233, 620, 352, 651, 553, 487, 403, 681, 878, 23, 118, 230, 126, 417, 830, 479, 275, 131, 797, 488, 921, 210, 561, 464, 150, 178, 565, 491, 473, 146, 311, 438, 323, 507, 76, 728, 135, 111, 270, 874, 114, 786, 687, 812, 916, 130, 459, 986, 179, 563, 915, 323, 743, 614, 627, 561, 619, 277, 858, 826, 58, 324, 529, 923, 107, 519, 161, 385, 2, 861, 53, 980, 500, 264, 91, 909, 441, 361, 880, 530, 644, 972, 897, 340, 892, 838, 63, 978, 402, 757, 9, 555, 67, 619, 76, 967, 644, 91, 1, 790, 886, 300, 96, 313, 480, 615, 43, 654, 310, 916, 867, 36, 934, 113, 117, 647, 872, 144, 293, 355, 669, 866, 262, 185, 621, 517, 807, 453, 79, 529, 517, 511, 611, 726, 222, 637, 438, 253, 559, 885, 50, 319, 275, 192, 30, 330, 921, 121, 305, 864, 727, 868, 47, 248, 766, 658, 918, 124, 25, 950, 280, 929, 161, 688, 583, 285, 822, 204, 866, 383, 774, 448, 536, 121, 260, 229, 892, 342, 22, 645, 503, 394, 405, 127, 268, 461, 759, 228, 911, 246, 911, 650, 939, 490, 447, 524, 472, 621, 203, 676, 710, 176, 544, 45, 247, 818, 34, 384, 852, 569, 81, 628, 607, 610, 913, 177, 704, 495, 48, 580, 333, 248, 148, 956, 547, 695, 406, 720, 495, 907, 785, 550, 310, 527, 567, 506, 920, 921, 415, 959, 226, 462, 407, 203, 525, 503, 940, 303, 73, 547, 240, 348, 139, 874, 632, 422, 525, 292, 892, 503, 175, 6, 250, 524, 880, 829, 491, 187, 800, 569, 774, 211, 4, 434, 895, 356, 826, 519, 867, 545, 606, 100, 201, 100, 465, 659, 304, 921, 571, 357, 713, 19, 824, 165, 51, 469, 777, 225, 860, 152, 938, 146, 707, 638, 197, 994, 601, 85, 698, 780, 242, 179, 286, 656, 163, 920, 119, 78, 22, 185, 452, 196, 336, 51, 878, 853, 5, 819, 323, 775, 729, 362, 844, 670, 96, 723, 451, 295, 634, 978, 852, 388, 361, 601, 428, 613, 922, 535, 856, 616, 349, 941, 806, 335, 619, 517, 229, 354, 219, 979, 915, 583, 159, 500, 777, 296, 619, 566, 475, 652, 270, 716, 537, 904, 572, 791, 342, 658, 683, 314, 143, 70, 350, 368, 519, 284, 63, 721, 691, 556, 812, 355, 953, 507, 132, 819, 743, 364, 694, 908, 563, 565, 955, 239, 980, 519, 724, 786, 776, 92, 905, 993, 292, 224, 592, 308, 738, 439, 821, 780, 67, 281, 33, 920, 517, 772, 634, 409, 302, 755, 70, 411, 943, 626, 77, 732, 204, 901, 981, 458, 222, 942, 140, 591, 655, 233, 789, 644, 660, 663, 707, 410, 8, 797, 447, 867, 664, 665, 477, 459, 424, 382, 806, 14, 701, 876, 651, 634, 79, 941, 352, 387, 841, 719, 505, 537, 182, 627, 307, 90, 917, 680, 240, 609, 801, 511, 526, 946, 651, 919, 175, 938, 478, 532, 648, 85, 880, 128, 774, 511, 521, 96, 372, 349, 318, 252, 556, 128, 942, 246, 490, 400, 116, 118, 47, 150, 177, 689, 111, 859, 187, 652, 252, 802, 928, 608, 38, 504, 919, 398, 46, 444, 413, 723, 163, 619, 343, 633, 13, 187, 765, 497, 692, 51, 783, 529, 222, 928, 933, 324, 135, 871, 47, 257, 352, 492, 75, 825, 216, 892, 342, 466, 67, 609, 988, 757, 657, 177, 510, 613, 550, 966, 355, 624, 172, 472, 331, 284, 405, 404, 136, 42, 385, 16, 611, 297, 136, 643, 19, 423, 978, 954, 192, 14, 553, 743, 489, 537, 412, 582, 112, 747, 162, 267, 669, 641, 144, 511, 796, 340, 330, 611, 167, 402, 444, 624, 959, 641, 402, 555, 652, 706, 705, 725, 862, 532, 681, 506, 837, 385, 536, 188, 574, 729, 666, 59, 900, 53, 625, 931, 18, 362, 717, 933, 841, 972, 429, 842, 855, 589, 775, 409, 877, 214, 720, 520, 529, 501, 835, 826, 36, 529, 650, 393, 446, 146, 890, 130, 551, 187, 126, 60, 564, 177, 98, 94, 387, 541, 901, 222, 56, 587, 981, 837, 512, 976, 169, 427, 472, 778, 763, 627, 848, 348, 367, 609, 498, 42, 150, 555, 154, 981, 130, 377, 458, 918, 594, 165, 690, 402, 993, 900, 549, 309, 124, 419, 130, 1, 730, 99, 415, 420, 380, 270, 941, 253, 684, 468, 260, 927, 491, 685, 254, 218, 190, 526, 757, 177 }

{353, 532, 162, 707, 93, 877, 994, 600, 729, 638, 541, 263, 934, 877, 867, 700, 261, 444, 163, 968, 212, 712, 253, 202, 463, 886, 315, 364, 457, 375, 245, 329, 125, 306, 678, 893, 376, 889, 166, 688, 953, 479, 745, 420, 683, 272, 104, 361, 355, 524, 529, 176, 281, 451, 893, 39, 959, 409, 991, 569, 614, 976, 118, 705, 846, 758, 417, 39, 447, 704, 444, 161, 447, 344, 823, 958, 120, 576, 469, 410, 534, 226, 204, 607, 773, 699, 263, 972, 273, 781, 770, 219, 539, 108, 86, 483, 465, 290, 401, 573, 368, 291, 527, 215, 838, 96, 51, 385, 198, 201, 199, 950, 797, 478, 832, 961, 593, 864, 445, 148, 458, 621, 651, 47, 773, 14, 367, 859, 346, 87, 514, 945, 854, 339, 747, 578, 121, 658, 442, 160, 60, 866, 587, 869, 231, 69, 272, 453, 142, 675, 722, 27, 333, 616, 459, 397, 182, 80, 779, 425, 417, 940, 399, 175, 622, 391, 802, 723, 898, 172, 467, 59, 885, 179, 661, 900, 884, 923, 567, 250, 61, 184, 774, 925, 235, 630, 328, 819, 601, 957, 367, 162, 628, 265, 472, 387, 272, 914, 342, 952, 75, 990, 372, 978, 443, 887, 336, 716, 5, 510, 126, 293, 139, 748, 371, 45, 883, 966, 595, 81, 816, 500, 613, 234, 550, 505, 927, 792, 666, 695, 189, 570, 835, 233, 92, 663, 679, 7, 889, 803, 576, 48, 244, 523, 136, 408, 248, 335, 793, 293, 794, 849, 459, 187, 46, 419, 638, 596, 153, 402, 27, 983, 869, 978, 857, 939, 71, 704, 125, 265, 62, 630, 956, 525, 62, 409, 255, 492, 991, 370, 17, 161, 937, 502, 766, 963, 252, 53, 450, 625, 853, 103, 650, 270, 960, 438, 691, 574, 354, 739, 813, 755, 338, 472, 645, 598, 783, 213, 763, 20, 888, 402, 839, 106, 590, 61, 129, 478, 708, 15, 675, 347, 406, 1, 782, 95, 342, 412, 672, 502, 63, 683, 398, 127, 384, 593, 407, 597, 805, 95, 102, 695, 643, 252, 739, 38, 530, 10, 41, 462, 191, 548, 280, 260, 507, 954, 511, 61, 565, 760, 889, 299, 330, 143, 988, 376, 196, 838, 379, 457, 541, 360, 465, 712, 995, 349, 897, 171, 510, 432, 426, 4, 484, 377, 158, 104, 520, 154, 360, 73, 162, 440, 901, 329, 710, 713, 280, 298, 868, 275, 368, 155, 937, 776, 491, 744, 115, 79, 894, 9, 675, 569, 695, 778, 488, 54, 889, 9, 718, 786, 765, 797, 545, 186, 529, 43, 53, 844, 256, 616, 582, 270, 315, 861, 21, 442, 239, 546, 750, 238, 338, 234, 51, 798, 856, 754, 874, 78, 923, 818, 378, 522, 259, 658, 423, 398, 861, 846, 307, 588, 700, 44, 752, 540, 149, 471, 377, 622, 148, 234, 163, 946, 722, 679, 424, 333, 702, 405, 931, 365, 159, 696, 151, 998, 179, 270, 719, 211, 166, 468, 521, 332, 197, 312, 902, 926, 616, 187, 707, 386, 1, 24, 498, 983, 4, 296, 389, 208, 195, 999, 62, 691, 220, 204, 809, 790, 255, 75, 396, 23, 449, 190, 265, 427, 88, 973, 608, 416, 520, 161, 229, 367, 273, 419, 769, 846, 345, 138, 963, 601, 547, 748, 583, 713, 926, 418, 96, 189, 967, 938, 449, 62, 593, 239, 874, 19, 631, 364, 676, 838, 299, 509, 392, 701, 70, 878, 262, 266, 841, 645, 114, 544, 277, 945, 412, 430, 399, 924, 513, 790, 894, 958, 426, 65, 1, 432, 782, 764, 694, 588, 340, 381, 851, 272, 3, 964, 14, 291, 251, 835, 355, 319, 986, 101, 150, 233, 44, 882, 277, 937, 164, 730, 426, 282, 608, 699, 922, 288, 627, 655, 419, 78, 613, 254, 220, 133, 324, 801, 586, 492, 368, 286, 240, 684, 952, 452, 961, 399, 285, 122, 76, 7, 916, 938, 852, 571, 72, 966, 44, 505, 980, 54, 484, 670, 495, 534, 885, 250, 120, 912, 94, 820, 697, 495, 906, 460, 790, 681, 697, 481, 516, 861, 281, 360, 56, 125, 520, 852, 144, 700, 938, 680, 313, 220, 672, 456, 760, 921, 170, 625, 887, 320, 702, 346, 37, 795, 153, 662, 129, 616, 356, 840, 888, 494, 717, 447, 78, 220, 178, 71, 656, 228, 17, 23, 557, 371, 300, 685, 717, 109, 860, 832, 152, 719, 734, 996, 486, 782, 326, 328, 80, 421, 62, 934, 581, 368, 89, 959, 6, 788, 285, 270, 431, 264, 444, 952, 232, 39, 470, 578, 983, 499, 917, 573, 162, 905, 719, 868, 128, 95, 881, 430, 701, 517, 14, 187, 507, 139, 434, 300, 792, 891, 29, 129, 546, 957, 759, 377, 624, 606, 69, 155, 740, 301, 72, 665, 651, 94, 517, 904, 484, 633, 912, 940, 712, 214, 520, 569, 836, 802, 622, 303, 762, 837, 160, 554, 437, 622, 285, 593, 674, 343, 135, 767, 189, 880, 232, 823, 872, 763, 366, 286, 491, 448, 334, 376, 662, 157, 845, 771, 423, 271, 199, 669, 482, 610, 176, 411, 469, 640, 241, 364, 310, 876, 308, 689, 716, 760, 558, 27, 118, 249, 930, 401, 203, 839, 416, 34, 424, 743, 576, 896, 951, 114, 235, 997, 849, 530, 194, 198, 106, 360, 95, 985, 905, 36, 974, 457, 917, 645, 328, 546, 421, 419, 319, 182, 467, 489, 341, 760, 589, 100, 157, 964, 268, 308, 394, 746, 642, 233, 34, 502, 88, 552, 907, 194, 259, 243, 241, 73, 385, 210, 796, 39, 410, 466, 225, 624, 321, 842, 372, 483, 896, 373, 600, 52, 139, 56, 410, 74, 277, 613, 621, 649, 479, 630, 340, 689, 508, 664, 626, 110, 873, 84, 374, 821, 691, 612, 652, 38, 609, 36, 184, 441, 741, 659, 484, 325, 335, 112, 904, 107, 377, 81, 263, 316, 798, 792, 27, 377, 117, 865, 225, 874 }

Returns: 8
{0 }

{0 }

Returns: 1
{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999 }

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999 }

Returns: 1000

Statistics

Problem Statement for "TwoDiagonals"

Problem Statement

Definition

Constraints

Examples