Datasets:
sumuks
/
purple_wintermute_0.1_training_data_in_progress

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
sequencelengths
2
512
attention_mask
sequencelengths
2
512
labels
sequencelengths
2
512
position_ids
sequencelengths
2
512
length
int64
2
512
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8813, 4176, 26036, 38710, 369, 5387, 5504, 2302, 23001, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 4802, 729, 369, 23001, 5387, 5504, 2302, 13530, 1667, 60477, 26036, 38710, 11, 892, 38919, 264, 20316, 88921, 4647, 304, 279, 8177, 6193, 1946, 92495, 315, 264, 29728, 3922, 13, 576, 975, 374, 52299, 11, 4752, 389, 425, 80392, 1842, 452, 13, 220, 17, 15, 16, 16, 11, 714, 31116, 2797, 18142, 304, 279, 4802, 729, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 264, 501, 4802, 729, 320, 269, 19826, 729, 8, 369, 23001, 13530, 315, 14744, 323, 862, 5025, 943, 13, 576, 4802, 729, 374, 3118, 389, 264, 773, 18900, 60477, 26036, 8141, 11, 892, 15791, 38919, 264, 20316, 88921, 4647, 304, 279, 34447, 315, 279, 8177, 6193, 1946, 92495, 315, 264, 3175, 8177, 6193, 29728, 3922, 13, 1096, 975, 11017, 14138, 15148, 279, 975, 315, 425, 80392, 1842, 452, 13, 220, 17, 15, 16, 16, 11, 448, 279, 1887, 6672, 1660, 279, 5754, 315, 279, 4802, 33474, 5503, 729, 13, 1096, 374, 458, 9423, 304, 3793, 315, 279, 14198, 2897, 315, 279, 3059, 25, 419, 5567, 9355, 31116, 429, 279, 10981, 4802, 729, 374, 2664, 11, 2474, 4297, 770, 320, 1782, 4862, 16538, 11, 279, 16460, 10324, 8, 374, 279, 1852, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 220, 21, 25, 2797, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 1532, 44983, 5542, 31925, 425, 2264, 3085, 60477, 26036, 38710, 323, 319, 414, 74333, 9322, 647, 10605, 271, 34764, 565, 13513, 8883, 198, 80334, 23092, 3410, 8357, 448, 279, 8760, 315, 6707, 15614, 11, 36438, 71183, 6540, 714, 3545, 7676, 304, 6588, 504, 862, 52890, 694, 63097, 323, 6853, 315, 6540, 315, 501, 14744, 323, 4300, 13, 23309, 975, 702, 10735, 389, 4752, 476, 32359, 1105, 553, 9271, 12624, 304, 3460, 650, 3401, 657, 1467, 8368, 64, 13, 758, 12872, 11, 1588, 582, 14576, 9213, 311, 4583, 264, 6540, 2331, 553, 51897, 5107, 830, 11871, 1948, 14744, 11, 3118, 389, 4586, 8040, 429, 646, 387, 41545, 291, 304, 279, 2661, 6540, 3152, 13, 1205, 19131, 264, 29728, 15626, 3922, 320, 6408, 45, 8, 1614, 892, 55878, 501, 5025, 10695, 429, 646, 387, 3694, 311, 279, 4625, 13, 1096, 1614, 646, 387, 12944, 553, 57060, 5387, 43613, 448, 3409, 22879, 9498, 304, 458, 6975, 454, 77990, 11153, 504, 1467, 11, 323, 979, 3730, 419, 11, 6350, 4300, 646, 1496, 387, 77902, 369, 14744, 429, 1033, 537, 3042, 304, 279, 4625, 382, 34764, 565, 13513, 55695, 198, 677, 931, 13064, 6, 364, 89053, 23092, 6, 364, 811, 4176, 15626, 14155, 1248, 364, 47858, 3409, 22879, 6, 364, 65334, 6, 364, 10499, 6, 364, 2528, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8813, 4176, 26036, 38710, 369, 5387, 5504, 2302, 23001, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 4802, 729, 369, 23001, 5387, 5504, 2302, 13530, 1667, 60477, 26036, 38710, 11, 892, 38919, 264, 20316, 88921, 4647, 304, 279, 8177, 6193, 1946, 92495, 315, 264, 29728, 3922, 13, 576, 975, 374, 52299, 11, 4752, 389, 425, 80392, 1842, 452, 13, 220, 17, 15, 16, 16, 11, 714, 31116, 2797, 18142, 304, 279, 4802, 729, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 264, 501, 4802, 729, 320, 269, 19826, 729, 8, 369, 23001, 13530, 315, 14744, 323, 862, 5025, 943, 13, 576, 4802, 729, 374, 3118, 389, 264, 773, 18900, 60477, 26036, 8141, 11, 892, 15791, 38919, 264, 20316, 88921, 4647, 304, 279, 34447, 315, 279, 8177, 6193, 1946, 92495, 315, 264, 3175, 8177, 6193, 29728, 3922, 13, 1096, 975, 11017, 14138, 15148, 279, 975, 315, 425, 80392, 1842, 452, 13, 220, 17, 15, 16, 16, 11, 448, 279, 1887, 6672, 1660, 279, 5754, 315, 279, 4802, 33474, 5503, 729, 13, 1096, 374, 458, 9423, 304, 3793, 315, 279, 14198, 2897, 315, 279, 3059, 25, 419, 5567, 9355, 31116, 429, 279, 10981, 4802, 729, 374, 2664, 11, 2474, 4297, 770, 320, 1782, 4862, 16538, 11, 279, 16460, 10324, 8, 374, 279, 1852, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 220, 21, 25, 2797, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 1532, 44983, 5542, 31925, 425, 2264, 3085, 60477, 26036, 38710, 323, 319, 414, 74333, 9322, 647, 10605, 271, 34764, 565, 13513, 8883, 198, 80334, 23092, 3410, 8357, 448, 279, 8760, 315, 6707, 15614, 11, 36438, 71183, 6540, 714, 3545, 7676, 304, 6588, 504, 862, 52890, 694, 63097, 323, 6853, 315, 6540, 315, 501, 14744, 323, 4300, 13, 23309, 975, 702, 10735, 389, 4752, 476, 32359, 1105, 553, 9271, 12624, 304, 3460, 650, 3401, 657, 1467, 8368, 64, 13, 758, 12872, 11, 1588, 582, 14576, 9213, 311, 4583, 264, 6540, 2331, 553, 51897, 5107, 830, 11871, 1948, 14744, 11, 3118, 389, 4586, 8040, 429, 646, 387, 41545, 291, 304, 279, 2661, 6540, 3152, 13, 1205, 19131, 264, 29728, 15626, 3922, 320, 6408, 45, 8, 1614, 892, 55878, 501, 5025, 10695, 429, 646, 387, 3694, 311, 279, 4625, 13, 1096, 1614, 646, 387, 12944, 553, 57060, 5387, 43613, 448, 3409, 22879, 9498, 304, 458, 6975, 454, 77990, 11153, 504, 1467, 11, 323, 979, 3730, 419, 11, 6350, 4300, 646, 1496, 387, 77902, 369, 14744, 429, 1033, 537, 3042, 304, 279, 4625, 382, 34764, 565, 13513, 55695, 198, 677, 931, 13064, 6, 364, 89053, 23092, 6, 364, 811, 4176, 15626, 14155, 1248, 364, 47858, 3409, 22879, 6, 364, 65334, 6, 364, 10499, 6, 364, 2528, 6 ]
[ 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
[ 364, 12216, 6, 364, 78267, 1248, 364, 82453, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 364, 12216, 6, 364, 78267, 1248, 364, 82453, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ]
15
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 1532, 44983, 5542, 31925, 425, 2264, 3085, 60477, 26036, 38710, 323, 319, 414, 74333, 9322, 647, 10605, 271, 34764, 565, 13513, 8883, 198, 80334, 23092, 3410, 8357, 448, 279, 8760, 315, 6707, 15614, 11, 36438, 71183, 6540, 714, 3545, 7676, 304, 6588, 504, 862, 52890, 694, 63097, 323, 6853, 315, 6540, 315, 501, 14744, 323, 4300, 13, 23309, 975, 702, 10735, 389, 4752, 476, 32359, 1105, 553, 9271, 12624, 304, 3460, 650, 3401, 657, 1467, 8368, 64, 13, 758, 12872, 11, 1588, 582, 14576, 9213, 311, 4583, 264, 6540, 2331, 553, 51897, 5107, 830, 11871, 1948, 14744, 11, 3118, 389, 4586, 8040, 429, 646, 387, 41545, 291, 304, 279, 2661, 6540, 3152, 13, 1205, 19131, 264, 29728, 15626, 3922, 320, 6408, 45, 8, 1614, 892, 55878, 501, 5025, 10695, 429, 646, 387, 3694, 311, 279, 4625, 13, 1096, 1614, 646, 387, 12944, 553, 57060, 5387, 43613, 448, 3409, 22879, 9498, 304, 458, 6975, 454, 77990, 11153, 504, 1467, 11, 323, 979, 3730, 419, 11, 6350, 4300, 646, 1496, 387, 77902, 369, 14744, 429, 1033, 537, 3042, 304, 279, 4625, 382, 34764, 565, 13513, 55695, 198, 677, 931, 13064, 6, 364, 89053, 23092, 6, 364, 811, 4176, 15626, 14155, 1248, 364, 47858, 3409, 22879, 6, 364, 65334, 6, 364, 10499, 6, 364, 2528, 6, 364, 12216, 6, 364, 78267, 1248, 364, 82453, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8813, 4176, 26036, 38710, 369, 5387, 5504, 2302, 23001, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 4802, 729, 369, 23001, 5387, 5504, 2302, 13530, 1667, 60477, 26036, 38710, 11, 892, 38919, 264, 20316, 88921, 4647, 304, 279, 8177, 6193, 1946, 92495, 315, 264, 29728, 3922, 13, 576, 975, 374, 52299, 11, 4752, 389, 425, 80392, 1842, 452, 13, 220, 17, 15, 16, 16, 11, 714, 31116, 2797, 18142, 304, 279, 4802, 729, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 264, 501, 4802, 729, 320, 269, 19826, 729, 8, 369, 23001, 13530, 315, 14744, 323, 862, 5025, 943, 13, 576, 4802, 729, 374, 3118, 389, 264, 773, 18900, 60477, 26036, 8141, 11, 892, 15791, 38919, 264, 20316, 88921, 4647, 304, 279, 34447, 315, 279, 8177, 6193, 1946, 92495, 315, 264, 3175, 8177, 6193, 29728, 3922, 13, 1096, 975, 11017, 14138, 15148, 279, 975, 315, 425, 80392, 1842, 452, 13, 220, 17, 15, 16, 16, 11, 448, 279, 1887, 6672, 1660, 279, 5754, 315, 279, 4802, 33474, 5503, 729, 13, 1096, 374, 458, 9423, 304, 3793, 315, 279, 14198, 2897, 315, 279, 3059, 25, 419, 5567, 9355, 31116, 429, 279, 10981, 4802, 729, 374, 2664, 11, 2474, 4297, 770, 320, 1782, 4862, 16538, 11, 279, 16460, 10324, 8, 374, 279, 1852, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 220, 21, 25, 2797, 4193, 271, 34764, 565, 10294, 86324 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 1532, 44983, 5542, 31925, 425, 2264, 3085, 60477, 26036, 38710, 323, 319, 414, 74333, 9322, 647, 10605, 271, 34764, 565, 13513, 8883, 198, 80334, 23092, 3410, 8357, 448, 279, 8760, 315, 6707, 15614, 11, 36438, 71183, 6540, 714, 3545, 7676, 304, 6588, 504, 862, 52890, 694, 63097, 323, 6853, 315, 6540, 315, 501, 14744, 323, 4300, 13, 23309, 975, 702, 10735, 389, 4752, 476, 32359, 1105, 553, 9271, 12624, 304, 3460, 650, 3401, 657, 1467, 8368, 64, 13, 758, 12872, 11, 1588, 582, 14576, 9213, 311, 4583, 264, 6540, 2331, 553, 51897, 5107, 830, 11871, 1948, 14744, 11, 3118, 389, 4586, 8040, 429, 646, 387, 41545, 291, 304, 279, 2661, 6540, 3152, 13, 1205, 19131, 264, 29728, 15626, 3922, 320, 6408, 45, 8, 1614, 892, 55878, 501, 5025, 10695, 429, 646, 387, 3694, 311, 279, 4625, 13, 1096, 1614, 646, 387, 12944, 553, 57060, 5387, 43613, 448, 3409, 22879, 9498, 304, 458, 6975, 454, 77990, 11153, 504, 1467, 11, 323, 979, 3730, 419, 11, 6350, 4300, 646, 1496, 387, 77902, 369, 14744, 429, 1033, 537, 3042, 304, 279, 4625, 382, 34764, 565, 13513, 55695, 198, 677, 931, 13064, 6, 364, 89053, 23092, 6, 364, 811, 4176, 15626, 14155, 1248, 364, 47858, 3409, 22879, 6, 364, 65334, 6, 364, 10499, 6, 364, 2528, 6, 364, 12216, 6, 364, 78267, 1248, 364, 82453, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8813, 4176, 26036, 38710, 369, 5387, 5504, 2302, 23001, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 4802, 729, 369, 23001, 5387, 5504, 2302, 13530, 1667, 60477, 26036, 38710, 11, 892, 38919, 264, 20316, 88921, 4647, 304, 279, 8177, 6193, 1946, 92495, 315, 264, 29728, 3922, 13, 576, 975, 374, 52299, 11, 4752, 389, 425, 80392, 1842, 452, 13, 220, 17, 15, 16, 16, 11, 714, 31116, 2797, 18142, 304, 279, 4802, 729, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 264, 501, 4802, 729, 320, 269, 19826, 729, 8, 369, 23001, 13530, 315, 14744, 323, 862, 5025, 943, 13, 576, 4802, 729, 374, 3118, 389, 264, 773, 18900, 60477, 26036, 8141, 11, 892, 15791, 38919, 264, 20316, 88921, 4647, 304, 279, 34447, 315, 279, 8177, 6193, 1946, 92495, 315, 264, 3175, 8177, 6193, 29728, 3922, 13, 1096, 975, 11017, 14138, 15148, 279, 975, 315, 425, 80392, 1842, 452, 13, 220, 17, 15, 16, 16, 11, 448, 279, 1887, 6672, 1660, 279, 5754, 315, 279, 4802, 33474, 5503, 729, 13, 1096, 374, 458, 9423, 304, 3793, 315, 279, 14198, 2897, 315, 279, 3059, 25, 419, 5567, 9355, 31116, 429, 279, 10981, 4802, 729, 374, 2664, 11, 2474, 4297, 770, 320, 1782, 4862, 16538, 11, 279, 16460, 10324, 8, 374, 279, 1852, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 220, 21, 25, 2797, 4193, 271, 34764, 565, 10294, 86324 ]
[ 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
[ 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 ]
14
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8813, 4176, 15626, 3922, 1614, 369, 6540, 2331, 4300, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 29728, 3922, 5980, 19826, 729, 1667, 15626, 3871, 323, 2477, 61299, 1361, 311, 1614, 7299, 47612, 1663, 6540, 23092, 11, 18392, 5193, 3681, 975, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 264, 501, 1614, 369, 33479, 821, 315, 7299, 47612, 1663, 6540, 23092, 1741, 438, 9322, 4711, 476, 809, 71061, 13, 64825, 553, 279, 975, 315, 320, 33, 80392, 1842, 452, 2572, 47097, 40, 16, 16, 701, 807, 29614, 264, 29728, 3922, 5980, 19826, 729, 11, 892, 374, 16176, 311, 9793, 1550, 5456, 311, 49334, 4300, 13, 576, 1887, 11799, 289, 1746, 734, 13, 320, 33, 80392, 1842, 452, 2572, 47097, 40, 16, 16, 8, 374, 279, 19826, 729, 11, 892, 1431, 17601, 264, 15626, 1985, 311, 16164, 369, 279, 12687, 943, 323, 279, 990, 315, 264, 2477, 8447, 10748, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 358, 15985, 279, 5567, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 1532, 44983, 5542, 31925, 425, 2264, 3085, 60477, 26036, 38710, 323, 319, 414, 74333, 9322, 647, 10605, 271, 34764, 565, 13513, 8883, 198, 80334, 23092, 3410, 8357, 448, 279, 8760, 315, 6707, 15614, 11, 36438, 71183, 6540, 714, 3545, 7676, 304, 6588, 504, 862, 52890, 694, 63097, 323, 6853, 315, 6540, 315, 501, 14744, 323, 4300, 13, 23309, 975, 702, 10735, 389, 4752, 476, 32359, 1105, 553, 9271, 12624, 304, 3460, 650, 3401, 657, 1467, 8368, 64, 13, 758, 12872, 11, 1588, 582, 14576, 9213, 311, 4583, 264, 6540, 2331, 553, 51897, 5107, 830, 11871, 1948, 14744, 11, 3118, 389, 4586, 8040, 429, 646, 387, 41545, 291, 304, 279, 2661, 6540, 3152, 13, 1205, 19131, 264, 29728, 15626, 3922, 320, 6408, 45, 8, 1614, 892, 55878, 501, 5025, 10695, 429, 646, 387, 3694, 311, 279, 4625, 13, 1096, 1614, 646, 387, 12944, 553, 57060, 5387, 43613, 448, 3409, 22879, 9498, 304, 458, 6975, 454, 77990, 11153, 504, 1467, 11, 323, 979, 3730, 419, 11, 6350, 4300, 646, 1496, 387, 77902, 369, 14744, 429, 1033, 537, 3042, 304, 279, 4625, 382, 34764, 565, 13513, 55695, 198, 677, 931, 13064, 6, 364, 89053, 23092, 6, 364, 811, 4176, 15626, 14155, 1248, 364, 47858, 3409, 22879, 6, 364, 65334, 6, 364, 10499, 6, 364, 2528, 6, 364, 12216, 6, 364, 78267, 1248, 364, 82453, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8813, 4176, 15626, 3922, 1614, 369, 6540, 2331, 4300, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 29728, 3922, 5980, 19826, 729, 1667, 15626, 3871, 323, 2477, 61299, 1361, 311, 1614, 7299, 47612, 1663, 6540, 23092, 11, 18392, 5193, 3681, 975, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 264, 501, 1614, 369, 33479, 821, 315, 7299, 47612, 1663, 6540, 23092, 1741, 438, 9322, 4711, 476, 809, 71061, 13, 64825, 553, 279, 975, 315, 320, 33, 80392, 1842, 452, 2572, 47097, 40, 16, 16, 701, 807, 29614, 264, 29728, 3922, 5980, 19826, 729, 11, 892, 374, 16176, 311, 9793, 1550, 5456, 311, 49334, 4300, 13, 576, 1887, 11799, 289, 1746, 734, 13, 320, 33, 80392, 1842, 452, 2572, 47097, 40, 16, 16, 8, 374, 279, 19826, 729, 11, 892, 1431, 17601, 264, 15626, 1985, 311, 16164, 369, 279, 12687, 943, 323, 279, 990, 315, 264, 2477, 8447, 10748, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 358, 15985, 279, 5567, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 1532, 44983, 5542, 31925, 425, 2264, 3085, 60477, 26036, 38710, 323, 319, 414, 74333, 9322, 647, 10605, 271, 34764, 565, 13513, 8883, 198, 80334, 23092, 3410, 8357, 448, 279, 8760, 315, 6707, 15614, 11, 36438, 71183, 6540, 714, 3545, 7676, 304, 6588, 504, 862, 52890, 694, 63097, 323, 6853, 315, 6540, 315, 501, 14744, 323, 4300, 13, 23309, 975, 702, 10735, 389, 4752, 476, 32359, 1105, 553, 9271, 12624, 304, 3460, 650, 3401, 657, 1467, 8368, 64, 13, 758, 12872, 11, 1588, 582, 14576, 9213, 311, 4583, 264, 6540, 2331, 553, 51897, 5107, 830, 11871, 1948, 14744, 11, 3118, 389, 4586, 8040, 429, 646, 387, 41545, 291, 304, 279, 2661, 6540, 3152, 13, 1205, 19131, 264, 29728, 15626, 3922, 320, 6408, 45, 8, 1614, 892, 55878, 501, 5025, 10695, 429, 646, 387, 3694, 311, 279, 4625, 13, 1096, 1614, 646, 387, 12944, 553, 57060, 5387, 43613, 448, 3409, 22879, 9498, 304, 458, 6975, 454, 77990, 11153, 504, 1467, 11, 323, 979, 3730, 419, 11, 6350, 4300, 646, 1496, 387, 77902, 369, 14744, 429, 1033, 537, 3042, 304, 279, 4625, 382, 34764, 565, 13513, 55695, 198, 677, 931, 13064, 6, 364, 89053, 23092, 6, 364, 811, 4176, 15626, 14155, 1248, 364, 47858, 3409, 22879, 6, 364, 65334, 6, 364, 10499, 6, 364, 2528, 6, 364, 12216, 6, 364, 78267, 1248, 364, 82453, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 1532, 44983, 5542, 31925, 425, 2264, 3085, 60477, 26036, 38710, 323, 319, 414, 74333, 9322, 647, 10605, 271, 34764, 565, 13513, 8883, 198, 80334, 23092, 3410, 8357, 448, 279, 8760, 315, 6707, 15614, 11, 36438, 71183, 6540, 714, 3545, 7676, 304, 6588, 504, 862, 52890, 694, 63097, 323, 6853, 315, 6540, 315, 501, 14744, 323, 4300, 13, 23309, 975, 702, 10735, 389, 4752, 476, 32359, 1105, 553, 9271, 12624, 304, 3460, 650, 3401, 657, 1467, 8368, 64, 13, 758, 12872, 11, 1588, 582, 14576, 9213, 311, 4583, 264, 6540, 2331, 553, 51897, 5107, 830, 11871, 1948, 14744, 11, 3118, 389, 4586, 8040, 429, 646, 387, 41545, 291, 304, 279, 2661, 6540, 3152, 13, 1205, 19131, 264, 29728, 15626, 3922, 320, 6408, 45, 8, 1614, 892, 55878, 501, 5025, 10695, 429, 646, 387, 3694, 311, 279, 4625, 13, 1096, 1614, 646, 387, 12944, 553, 57060, 5387, 43613, 448, 3409, 22879, 9498, 304, 458, 6975, 454, 77990, 11153, 504, 1467, 11, 323, 979, 3730, 419, 11, 6350, 4300, 646, 1496, 387, 77902, 369, 14744, 429, 1033, 537, 3042, 304, 279, 4625, 382, 34764, 565, 13513, 55695, 198, 677, 931, 13064, 6, 364, 89053, 23092, 6, 364, 811, 4176, 15626, 14155, 1248, 364, 47858, 3409, 22879, 6, 364, 65334, 6, 364, 10499, 6, 364, 2528, 6, 364, 12216, 6, 364, 78267, 1248, 364, 82453, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8813, 4176, 15626, 3922, 1614, 369, 6540, 2331, 4300, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 29728, 3922, 5980, 19826, 729, 1667, 15626, 3871, 323, 2477, 61299, 1361, 311, 1614, 7299, 47612, 1663, 6540, 23092, 11, 18392, 5193, 3681, 975, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 264, 501, 1614, 369, 33479, 821, 315, 7299, 47612, 1663, 6540, 23092, 1741, 438, 9322, 4711, 476, 809, 71061, 13, 64825, 553, 279, 975, 315, 320, 33, 80392, 1842, 452, 2572, 47097, 40, 16, 16, 701, 807, 29614, 264, 29728, 3922, 5980, 19826, 729, 11, 892, 374, 16176, 311, 9793, 1550, 5456, 311, 49334, 4300, 13, 576, 1887, 11799, 289, 1746, 734, 13, 320, 33, 80392, 1842, 452, 2572, 47097, 40, 16, 16, 8, 374, 279, 19826, 729, 11, 892, 1431, 17601, 264, 15626, 1985, 311, 16164, 369, 279, 12687, 943, 323, 279, 990, 315, 264, 2477, 8447, 10748, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 358, 15985, 279, 5567, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 1532, 44983, 5542, 31925, 425, 2264, 3085, 60477, 26036, 38710, 323, 319, 414, 74333, 9322, 647, 10605, 271, 34764, 565, 13513, 8883, 198, 80334, 23092, 3410, 8357, 448, 279, 8760, 315, 6707, 15614, 11, 36438, 71183, 6540, 714, 3545, 7676, 304, 6588, 504, 862, 52890, 694, 63097, 323, 6853, 315, 6540, 315, 501, 14744, 323, 4300, 13, 23309, 975, 702, 10735, 389, 4752, 476, 32359, 1105, 553, 9271, 12624, 304, 3460, 650, 3401, 657, 1467, 8368, 64, 13, 758, 12872, 11, 1588, 582, 14576, 9213, 311, 4583, 264, 6540, 2331, 553, 51897, 5107, 830, 11871, 1948, 14744, 11, 3118, 389, 4586, 8040, 429, 646, 387, 41545, 291, 304, 279, 2661, 6540, 3152, 13, 1205, 19131, 264, 29728, 15626, 3922, 320, 6408, 45, 8, 1614, 892, 55878, 501, 5025, 10695, 429, 646, 387, 3694, 311, 279, 4625, 13, 1096, 1614, 646, 387, 12944, 553, 57060, 5387, 43613, 448, 3409, 22879, 9498, 304, 458, 6975, 454, 77990, 11153, 504, 1467, 11, 323, 979, 3730, 419, 11, 6350, 4300, 646, 1496, 387, 77902, 369, 14744, 429, 1033, 537, 3042, 304, 279, 4625, 382, 34764, 565, 13513, 55695, 198, 677, 931, 13064, 6, 364, 89053, 23092, 6, 364, 811, 4176, 15626, 14155, 1248, 364, 47858, 3409, 22879, 6, 364, 65334, 6, 364, 10499, 6, 364, 2528, 6, 364, 12216, 6, 364, 78267, 1248, 364, 82453, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8813, 4176, 15626, 3922, 1614, 369, 6540, 2331, 4300, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 29728, 3922, 5980, 19826, 729, 1667, 15626, 3871, 323, 2477, 61299, 1361, 311, 1614, 7299, 47612, 1663, 6540, 23092, 11, 18392, 5193, 3681, 975, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 264, 501, 1614, 369, 33479, 821, 315, 7299, 47612, 1663, 6540, 23092, 1741, 438, 9322, 4711, 476, 809, 71061, 13, 64825, 553, 279, 975, 315, 320, 33, 80392, 1842, 452, 2572, 47097, 40, 16, 16, 701, 807, 29614, 264, 29728, 3922, 5980, 19826, 729, 11, 892, 374, 16176, 311, 9793, 1550, 5456, 311, 49334, 4300, 13, 576, 1887, 11799, 289, 1746, 734, 13, 320, 33, 80392, 1842, 452, 2572, 47097, 40, 16, 16, 8, 374, 279, 19826, 729, 11, 892, 1431, 17601, 264, 15626, 1985, 311, 16164, 369, 279, 12687, 943, 323, 279, 990, 315, 264, 2477, 8447, 10748, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 358, 15985, 279, 5567, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 4526, 1948, 50388, 323, 7299, 12934, 33479, 10342, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 21314, 429, 279, 3633, 1948, 50388, 320, 693, 29951, 5737, 8, 323, 7299, 12934, 33479, 702, 1012, 8597, 10342, 553, 356, 61352, 11, 11689, 304, 279, 2266, 315, 264, 65930, 25262, 5486, 1667, 264, 7299, 12934, 8037, 13578, 311, 279, 17426, 8037, 382, 34764, 565, 10294, 8883, 198, 2132, 374, 10342, 429, 279, 3633, 1948, 50388, 323, 7299, 12934, 33479, 702, 1012, 14283, 700, 553, 356, 61352, 304, 468, 13, 619, 13, 69554, 12142, 11, 393, 13, 45366, 777, 323, 472, 13, 15806, 70, 1497, 13, 33287, 287, 7548, 42424, 5269, 17289, 553, 70446, 10819, 1815, 32336, 13, 57845, 13, 23144, 13, 39659, 13, 19452, 13, 220, 17, 19, 220, 16, 19, 12, 19, 15, 11, 1380, 432, 572, 10342, 429, 279, 7299, 12934, 8037, 11827, 304, 419, 65930, 25262, 5486, 374, 13578, 311, 279, 17426, 8037, 504, 806, 4024, 975, 389, 50388, 10126, 304, 279, 220, 16, 24, 22, 15, 82, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 4526, 1948, 50388, 323, 7299, 12934, 33479, 10342, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 21314, 429, 279, 3633, 1948, 50388, 320, 693, 29951, 5737, 8, 323, 7299, 12934, 33479, 702, 1012, 8597, 10342, 553, 356, 61352, 11, 11689, 304, 279, 2266, 315, 264, 65930, 25262, 5486, 1667, 264, 7299, 12934, 8037, 13578, 311, 279, 17426, 8037, 382, 34764, 565, 10294, 8883, 198, 2132, 374, 10342, 429, 279, 3633, 1948, 50388, 323, 7299, 12934, 33479, 702, 1012, 14283, 700, 553, 356, 61352, 304, 468, 13, 619, 13, 69554, 12142, 11, 393, 13, 45366, 777, 323, 472, 13, 15806, 70, 1497, 13, 33287, 287, 7548, 42424, 5269, 17289, 553, 70446, 10819, 1815, 32336, 13, 57845, 13, 23144, 13, 39659, 13, 19452, 13, 220, 17, 19, 220, 16, 19, 12, 19, 15, 11, 1380, 432, 572, 10342, 429, 279, 7299, 12934, 8037, 11827, 304, 419, 65930, 25262, 5486, 374, 13578, 311, 279, 17426, 8037, 504, 806, 4024, 975, 389, 50388, 10126, 304, 279, 220, 16, 24, 22, 15, 82, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 4526, 1948, 50388, 323, 7299, 12934, 33479, 10342, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 21314, 429, 279, 3633, 1948, 50388, 320, 693, 29951, 5737, 8, 323, 7299, 12934, 33479, 702, 1012, 8597, 10342, 553, 356, 61352, 11, 11689, 304, 279, 2266, 315, 264, 65930, 25262, 5486, 1667, 264, 7299, 12934, 8037, 13578, 311, 279, 17426, 8037, 382, 34764, 565, 10294, 8883, 198, 2132, 374, 10342, 429, 279, 3633, 1948, 50388, 323, 7299, 12934, 33479, 702, 1012, 14283, 700, 553, 356, 61352, 304, 468, 13, 619, 13, 69554, 12142, 11, 393, 13, 45366, 777, 323, 472, 13, 15806, 70, 1497, 13, 33287, 287, 7548, 42424, 5269, 17289, 553, 70446, 10819, 1815, 32336, 13, 57845, 13, 23144, 13, 39659, 13, 19452, 13, 220, 17, 19, 220, 16, 19, 12, 19, 15, 11, 1380, 432, 572, 10342, 429, 279, 7299, 12934, 8037, 11827, 304, 419, 65930, 25262, 5486, 374, 13578, 311, 279, 17426, 8037, 504, 806, 4024, 975, 389, 50388, 10126, 304, 279, 220, 16, 24, 22, 15, 82, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 4526, 1948, 50388, 323, 7299, 12934, 33479, 10342, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 21314, 429, 279, 3633, 1948, 50388, 320, 693, 29951, 5737, 8, 323, 7299, 12934, 33479, 702, 1012, 8597, 10342, 553, 356, 61352, 11, 11689, 304, 279, 2266, 315, 264, 65930, 25262, 5486, 1667, 264, 7299, 12934, 8037, 13578, 311, 279, 17426, 8037, 382, 34764, 565, 10294, 8883, 198, 2132, 374, 10342, 429, 279, 3633, 1948, 50388, 323, 7299, 12934, 33479, 702, 1012, 14283, 700, 553, 356, 61352, 304, 468, 13, 619, 13, 69554, 12142, 11, 393, 13, 45366, 777, 323, 472, 13, 15806, 70, 1497, 13, 33287, 287, 7548, 42424, 5269, 17289, 553, 70446, 10819, 1815, 32336, 13, 57845, 13, 23144, 13, 39659, 13, 19452, 13, 220, 17, 19, 220, 16, 19, 12, 19, 15, 11, 1380, 432, 572, 10342, 429, 279, 7299, 12934, 8037, 11827, 304, 419, 65930, 25262, 5486, 374, 13578, 311, 279, 17426, 8037, 504, 806, 4024, 975, 389, 50388, 10126, 304, 279, 220, 16, 24, 22, 15, 82, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 6740, 1095, 5672, 2492, 2022, 1874, 311, 5538, 6832, 4566, 69894, 98134, 14155, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 3633, 1948, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 323, 5538, 6832, 11, 11689, 1526, 69894, 98134, 14155, 13, 4354, 11, 279, 3395, 21314, 429, 279, 5567, 36756, 31273, 304, 26312, 279, 4119, 323, 1558, 537, 3410, 34776, 21204, 311, 9593, 279, 5486, 382, 34764, 565, 10294, 8883, 198, 785, 1614, 16297, 311, 28143, 5672, 2492, 2022, 1874, 323, 5538, 6832, 11, 11689, 69894, 98134, 3922, 13, 576, 6028, 5322, 525, 429, 220, 16, 8, 279, 5567, 374, 1172, 52844, 481, 432, 1558, 537, 10339, 4119, 9355, 323, 23638, 11, 323, 220, 17, 8, 432, 702, 902, 34776, 21204, 9027, 429, 432, 4278, 13, 3555, 432, 3880, 374, 2494, 1075, 25, 220, 16, 8, 18614, 279, 422, 18446, 38, 320, 269, 8820, 2319, 315, 50388, 498, 1184, 8, 323, 18614, 279, 5662, 6832, 1614, 13, 3155, 1493, 448, 11464, 54079, 773, 6604, 646, 1414, 1128, 6896, 807, 525, 13, 220, 17, 8, 6928, 279, 12731, 1948, 279, 1378, 4119, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 31273, 323, 10519, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 6740, 1095, 5672, 2492, 2022, 1874, 311, 5538, 6832, 4566, 69894, 98134, 14155, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 3633, 1948, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 323, 5538, 6832, 11, 11689, 1526, 69894, 98134, 14155, 13, 4354, 11, 279, 3395, 21314, 429, 279, 5567, 36756, 31273, 304, 26312, 279, 4119, 323, 1558, 537, 3410, 34776, 21204, 311, 9593, 279, 5486, 382, 34764, 565, 10294, 8883, 198, 785, 1614, 16297, 311, 28143, 5672, 2492, 2022, 1874, 323, 5538, 6832, 11, 11689, 69894, 98134, 3922, 13, 576, 6028, 5322, 525, 429, 220, 16, 8, 279, 5567, 374, 1172, 52844, 481, 432, 1558, 537, 10339, 4119, 9355, 323, 23638, 11, 323, 220, 17, 8, 432, 702, 902, 34776, 21204, 9027, 429, 432, 4278, 13, 3555, 432, 3880, 374, 2494, 1075, 25, 220, 16, 8, 18614, 279, 422, 18446, 38, 320, 269, 8820, 2319, 315, 50388, 498, 1184, 8, 323, 18614, 279, 5662, 6832, 1614, 13, 3155, 1493, 448, 11464, 54079, 773, 6604, 646, 1414, 1128, 6896, 807, 525, 13, 220, 17, 8, 6928, 279, 12731, 1948, 279, 1378, 4119, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 31273, 323, 10519, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 6740, 1095, 5672, 2492, 2022, 1874, 311, 5538, 6832, 4566, 69894, 98134, 14155, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 3633, 1948, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 323, 5538, 6832, 11, 11689, 1526, 69894, 98134, 14155, 13, 4354, 11, 279, 3395, 21314, 429, 279, 5567, 36756, 31273, 304, 26312, 279, 4119, 323, 1558, 537, 3410, 34776, 21204, 311, 9593, 279, 5486, 382, 34764, 565, 10294, 8883, 198, 785, 1614, 16297, 311, 28143, 5672, 2492, 2022, 1874, 323, 5538, 6832, 11, 11689, 69894, 98134, 3922, 13, 576, 6028, 5322, 525, 429, 220, 16, 8, 279, 5567, 374, 1172, 52844, 481, 432, 1558, 537, 10339, 4119, 9355, 323, 23638, 11, 323, 220, 17, 8, 432, 702, 902, 34776, 21204, 9027, 429, 432, 4278, 13, 3555, 432, 3880, 374, 2494, 1075, 25, 220, 16, 8, 18614, 279, 422, 18446, 38, 320, 269, 8820, 2319, 315, 50388, 498, 1184, 8, 323, 18614, 279, 5662, 6832, 1614, 13, 3155, 1493, 448, 11464, 54079, 773, 6604, 646, 1414, 1128, 6896, 807, 525, 13, 220, 17, 8, 6928, 279, 12731, 1948, 279, 1378, 4119, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 31273, 323, 10519, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 6740, 1095, 5672, 2492, 2022, 1874, 311, 5538, 6832, 4566, 69894, 98134, 14155, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 3633, 1948, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 323, 5538, 6832, 11, 11689, 1526, 69894, 98134, 14155, 13, 4354, 11, 279, 3395, 21314, 429, 279, 5567, 36756, 31273, 304, 26312, 279, 4119, 323, 1558, 537, 3410, 34776, 21204, 311, 9593, 279, 5486, 382, 34764, 565, 10294, 8883, 198, 785, 1614, 16297, 311, 28143, 5672, 2492, 2022, 1874, 323, 5538, 6832, 11, 11689, 69894, 98134, 3922, 13, 576, 6028, 5322, 525, 429, 220, 16, 8, 279, 5567, 374, 1172, 52844, 481, 432, 1558, 537, 10339, 4119, 9355, 323, 23638, 11, 323, 220, 17, 8, 432, 702, 902, 34776, 21204, 9027, 429, 432, 4278, 13, 3555, 432, 3880, 374, 2494, 1075, 25, 220, 16, 8, 18614, 279, 422, 18446, 38, 320, 269, 8820, 2319, 315, 50388, 498, 1184, 8, 323, 18614, 279, 5662, 6832, 1614, 13, 3155, 1493, 448, 11464, 54079, 773, 6604, 646, 1414, 1128, 6896, 807, 525, 13, 220, 17, 8, 6928, 279, 12731, 1948, 279, 1378, 4119, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 31273, 323, 10519, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 13234, 1948, 5672, 2492, 2022, 323, 53143, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 458, 7040, 3633, 1948, 44868, 44378, 304, 53143, 4119, 323, 5672, 2492, 2022, 5413, 11, 13330, 71374, 1948, 28464, 21321, 323, 5538, 77235, 382, 34764, 565, 10294, 8883, 198, 3862, 374, 304, 2097, 264, 1293, 3840, 315, 21880, 1948, 74726, 4925, 21321, 323, 53143, 4119, 13, 1752, 3110, 11, 432, 374, 1632, 3881, 429, 279, 775, 1266, 16396, 53643, 12111, 369, 44378, 21187, 4756, 279, 13017, 383, 1910, 4802, 320, 276, 56204, 315, 279, 1910, 4802, 304, 892, 1172, 92759, 21880, 525, 4429, 1119, 2692, 323, 1550, 23810, 21880, 525, 12036, 568, 4398, 8789, 11, 4151, 1663, 5413, 14606, 553, 28464, 21321, 614, 1012, 264, 1602, 5411, 8544, 304, 53143, 1614, 44378, 13, 576, 5672, 2492, 2022, 5413, 1410, 387, 9760, 311, 5538, 77235, 304, 279, 5530, 429, 279, 49184, 315, 4194, 3890, 12942, 504, 264, 2297, 315, 5452, 1410, 387, 1865, 78183, 448, 279, 74410, 323, 5147, 29709, 7525, 3545, 1483, 304, 5538, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 7040, 4522, 714, 3880, 803, 4401, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 13234, 1948, 5672, 2492, 2022, 323, 53143, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 458, 7040, 3633, 1948, 44868, 44378, 304, 53143, 4119, 323, 5672, 2492, 2022, 5413, 11, 13330, 71374, 1948, 28464, 21321, 323, 5538, 77235, 382, 34764, 565, 10294, 8883, 198, 3862, 374, 304, 2097, 264, 1293, 3840, 315, 21880, 1948, 74726, 4925, 21321, 323, 53143, 4119, 13, 1752, 3110, 11, 432, 374, 1632, 3881, 429, 279, 775, 1266, 16396, 53643, 12111, 369, 44378, 21187, 4756, 279, 13017, 383, 1910, 4802, 320, 276, 56204, 315, 279, 1910, 4802, 304, 892, 1172, 92759, 21880, 525, 4429, 1119, 2692, 323, 1550, 23810, 21880, 525, 12036, 568, 4398, 8789, 11, 4151, 1663, 5413, 14606, 553, 28464, 21321, 614, 1012, 264, 1602, 5411, 8544, 304, 53143, 1614, 44378, 13, 576, 5672, 2492, 2022, 5413, 1410, 387, 9760, 311, 5538, 77235, 304, 279, 5530, 429, 279, 49184, 315, 4194, 3890, 12942, 504, 264, 2297, 315, 5452, 1410, 387, 1865, 78183, 448, 279, 74410, 323, 5147, 29709, 7525, 3545, 1483, 304, 5538, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 7040, 4522, 714, 3880, 803, 4401, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 13234, 1948, 5672, 2492, 2022, 323, 53143, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 458, 7040, 3633, 1948, 44868, 44378, 304, 53143, 4119, 323, 5672, 2492, 2022, 5413, 11, 13330, 71374, 1948, 28464, 21321, 323, 5538, 77235, 382, 34764, 565, 10294, 8883, 198, 3862, 374, 304, 2097, 264, 1293, 3840, 315, 21880, 1948, 74726, 4925, 21321, 323, 53143, 4119, 13, 1752, 3110, 11, 432, 374, 1632, 3881, 429, 279, 775, 1266, 16396, 53643, 12111, 369, 44378, 21187, 4756, 279, 13017, 383, 1910, 4802, 320, 276, 56204, 315, 279, 1910, 4802, 304, 892, 1172, 92759, 21880, 525, 4429, 1119, 2692, 323, 1550, 23810, 21880, 525, 12036, 568, 4398, 8789, 11, 4151, 1663, 5413, 14606, 553, 28464, 21321, 614, 1012, 264, 1602, 5411, 8544, 304, 53143, 1614, 44378, 13, 576, 5672, 2492, 2022, 5413, 1410, 387, 9760, 311, 5538, 77235, 304, 279, 5530, 429, 279, 49184, 315, 4194, 3890, 12942, 504, 264, 2297, 315, 5452, 1410, 387, 1865, 78183, 448, 279, 74410, 323, 5147, 29709, 7525, 3545, 1483, 304, 5538, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 7040, 4522, 714, 3880, 803, 4401, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 13234, 1948, 5672, 2492, 2022, 323, 53143, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 458, 7040, 3633, 1948, 44868, 44378, 304, 53143, 4119, 323, 5672, 2492, 2022, 5413, 11, 13330, 71374, 1948, 28464, 21321, 323, 5538, 77235, 382, 34764, 565, 10294, 8883, 198, 3862, 374, 304, 2097, 264, 1293, 3840, 315, 21880, 1948, 74726, 4925, 21321, 323, 53143, 4119, 13, 1752, 3110, 11, 432, 374, 1632, 3881, 429, 279, 775, 1266, 16396, 53643, 12111, 369, 44378, 21187, 4756, 279, 13017, 383, 1910, 4802, 320, 276, 56204, 315, 279, 1910, 4802, 304, 892, 1172, 92759, 21880, 525, 4429, 1119, 2692, 323, 1550, 23810, 21880, 525, 12036, 568, 4398, 8789, 11, 4151, 1663, 5413, 14606, 553, 28464, 21321, 614, 1012, 264, 1602, 5411, 8544, 304, 53143, 1614, 44378, 13, 576, 5672, 2492, 2022, 5413, 1410, 387, 9760, 311, 5538, 77235, 304, 279, 5530, 429, 279, 49184, 315, 4194, 3890, 12942, 504, 264, 2297, 315, 5452, 1410, 387, 1865, 78183, 448, 279, 74410, 323, 5147, 29709, 7525, 3545, 1483, 304, 5538, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 7040, 4522, 714, 3880, 803, 4401, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 6832, 10592, 311, 5672, 2492, 2022, 5203, 304, 21321, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 3633, 1948, 5538, 6832, 323, 5672, 2492, 2022, 5203, 304, 31787, 21321, 11, 15908, 4849, 419, 5025, 323, 56415, 264, 6832, 12111, 3118, 389, 386, 25679, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 34334, 5538, 6832, 504, 279, 13057, 315, 5672, 2492, 2022, 5203, 304, 31787, 21321, 13, 11733, 18940, 525, 17712, 5435, 26, 4764, 11, 419, 12687, 702, 537, 1012, 15908, 1506, 48572, 8450, 3041, 323, 43069, 419, 374, 264, 66309, 315, 279, 5567, 13, 576, 5567, 5610, 264, 2477, 12, 72137, 323, 69062, 90418, 315, 18940, 323, 34334, 264, 6832, 12111, 369, 95240, 14155, 3118, 389, 279, 1565, 25875, 285, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 6, 320, 44, 25679, 3593, 34764, 565, 10294, 19216, 198, 47586, 323, 11514, 4522, 448, 4650, 7205, 2734, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 6832, 10592, 311, 5672, 2492, 2022, 5203, 304, 21321, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 3633, 1948, 5538, 6832, 323, 5672, 2492, 2022, 5203, 304, 31787, 21321, 11, 15908, 4849, 419, 5025, 323, 56415, 264, 6832, 12111, 3118, 389, 386, 25679, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 34334, 5538, 6832, 504, 279, 13057, 315, 5672, 2492, 2022, 5203, 304, 31787, 21321, 13, 11733, 18940, 525, 17712, 5435, 26, 4764, 11, 419, 12687, 702, 537, 1012, 15908, 1506, 48572, 8450, 3041, 323, 43069, 419, 374, 264, 66309, 315, 279, 5567, 13, 576, 5567, 5610, 264, 2477, 12, 72137, 323, 69062, 90418, 315, 18940, 323, 34334, 264, 6832, 12111, 369, 95240, 14155, 3118, 389, 279, 1565, 25875, 285, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 6, 320, 44, 25679, 3593, 34764, 565, 10294, 19216, 198, 47586, 323, 11514, 4522, 448, 4650, 7205, 2734, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 6832, 10592, 311, 5672, 2492, 2022, 5203, 304, 21321, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 3633, 1948, 5538, 6832, 323, 5672, 2492, 2022, 5203, 304, 31787, 21321, 11, 15908, 4849, 419, 5025, 323, 56415, 264, 6832, 12111, 3118, 389, 386, 25679, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 34334, 5538, 6832, 504, 279, 13057, 315, 5672, 2492, 2022, 5203, 304, 31787, 21321, 13, 11733, 18940, 525, 17712, 5435, 26, 4764, 11, 419, 12687, 702, 537, 1012, 15908, 1506, 48572, 8450, 3041, 323, 43069, 419, 374, 264, 66309, 315, 279, 5567, 13, 576, 5567, 5610, 264, 2477, 12, 72137, 323, 69062, 90418, 315, 18940, 323, 34334, 264, 6832, 12111, 369, 95240, 14155, 3118, 389, 279, 1565, 25875, 285, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 6, 320, 44, 25679, 3593, 34764, 565, 10294, 19216, 198, 47586, 323, 11514, 4522, 448, 4650, 7205, 2734, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 6832, 323, 279, 5672, 2492, 2022, 1874, 271, 34764, 565, 13513, 8883, 198, 34625, 2492, 2022, 1874, 5413, 11, 892, 23643, 279, 1616, 304, 892, 279, 7373, 7709, 315, 264, 1849, 13798, 389, 279, 5452, 518, 892, 432, 374, 13166, 11, 525, 1376, 311, 6481, 74726, 1448, 1650, 10126, 323, 18790, 21321, 13, 576, 9213, 315, 419, 5567, 374, 311, 9429, 323, 12872, 279, 6708, 4815, 279, 5672, 2492, 2022, 1874, 320, 32360, 8, 389, 279, 825, 1424, 323, 5538, 5662, 6832, 389, 279, 1008, 11, 1380, 7990, 323, 5452, 1486, 264, 4428, 3476, 13, 758, 1973, 311, 40368, 419, 3633, 11, 582, 3395, 264, 3213, 34776, 1714, 3118, 389, 279, 50388, 4421, 1782, 74737, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 320, 44, 25679, 8, 4421, 437, 1473, 1246, 432, 646, 387, 16099, 1119, 264, 6832, 12111, 3118, 389, 264, 1766, 1388, 69894, 98134, 3922, 1614, 13, 9449, 279, 24335, 4421, 5464, 304, 21321, 4421, 9033, 279, 7982, 311, 387, 9498, 374, 7225, 31871, 553, 2205, 68816, 11, 419, 12111, 17601, 1172, 11464, 16460, 315, 48216, 11, 16085, 3730, 3123, 448, 24892, 382, 34764, 565, 13513, 55695, 198, 677, 19688, 6, 364, 32880, 6832, 6, 364, 3117, 6, 364, 77895, 7709, 6, 364, 8948, 6, 364, 12445, 1248, 364, 792, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 6832, 10592, 311, 5672, 2492, 2022, 5203, 304, 21321, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 3633, 1948, 5538, 6832, 323, 5672, 2492, 2022, 5203, 304, 31787, 21321, 11, 15908, 4849, 419, 5025, 323, 56415, 264, 6832, 12111, 3118, 389, 386, 25679, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 34334, 5538, 6832, 504, 279, 13057, 315, 5672, 2492, 2022, 5203, 304, 31787, 21321, 13, 11733, 18940, 525, 17712, 5435, 26, 4764, 11, 419, 12687, 702, 537, 1012, 15908, 1506, 48572, 8450, 3041, 323, 43069, 419, 374, 264, 66309, 315, 279, 5567, 13, 576, 5567, 5610, 264, 2477, 12, 72137, 323, 69062, 90418, 315, 18940, 323, 34334, 264, 6832, 12111, 369, 95240, 14155, 3118, 389, 279, 1565, 25875, 285, 2246, 1197, 524, 986, 5672, 2492, 2022, 8099, 20175, 6, 320, 44, 25679, 3593, 34764, 565, 10294, 19216, 198, 47586, 323, 11514, 4522, 448, 4650, 7205, 2734, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 13482, 3233, 12, 954, 52498, 448, 1032, 23236, 15099, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 4862, 29195, 315, 13482, 3233, 12, 954, 52498, 1667, 7608, 1870, 13482, 8153, 320, 79652, 8, 389, 33699, 6758, 821, 11, 714, 14525, 311, 3410, 11514, 25709, 476, 6708, 382, 34764, 565, 10294, 8883, 198, 30133, 389, 4867, 3412, 11, 419, 5567, 21538, 311, 3410, 458, 6358, 315, 1128, 374, 2087, 389, 1393, 4862, 14155, 1667, 7608, 1870, 13482, 8153, 320, 79652, 701, 323, 3170, 807, 975, 13, 576, 12014, 23643, 419, 504, 279, 2266, 315, 4862, 264, 13482, 3233, 12, 27008, 448, 7608, 1870, 13482, 8153, 389, 33699, 6758, 821, 13, 2379, 990, 264, 21357, 10337, 304, 220, 18, 15336, 320, 6743, 15579, 323, 20980, 315, 63447, 8, 311, 6786, 279, 6358, 323, 62457, 1273, 279, 30078, 12180, 504, 279, 21357, 29425, 389, 279, 34995, 3846, 821, 13, 4354, 11, 279, 5567, 1558, 537, 3010, 894, 11514, 20017, 476, 4522, 448, 5091, 311, 6832, 13042, 1667, 3233, 12, 954, 52498, 448, 7608, 1870, 13482, 12171, 287, 729, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 13482, 3233, 12, 954, 52498, 448, 1032, 23236, 15099, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 4862, 29195, 315, 13482, 3233, 12, 954, 52498, 1667, 7608, 1870, 13482, 8153, 320, 79652, 8, 389, 33699, 6758, 821, 11, 714, 14525, 311, 3410, 11514, 25709, 476, 6708, 382, 34764, 565, 10294, 8883, 198, 30133, 389, 4867, 3412, 11, 419, 5567, 21538, 311, 3410, 458, 6358, 315, 1128, 374, 2087, 389, 1393, 4862, 14155, 1667, 7608, 1870, 13482, 8153, 320, 79652, 701, 323, 3170, 807, 975, 13, 576, 12014, 23643, 419, 504, 279, 2266, 315, 4862, 264, 13482, 3233, 12, 27008, 448, 7608, 1870, 13482, 8153, 389, 33699, 6758, 821, 13, 2379, 990, 264, 21357, 10337, 304, 220, 18, 15336, 320, 6743, 15579, 323, 20980, 315, 63447, 8, 311, 6786, 279, 6358, 323, 62457, 1273, 279, 30078, 12180, 504, 279, 21357, 29425, 389, 279, 34995, 3846, 821, 13, 4354, 11, 279, 5567, 1558, 537, 3010, 894, 11514, 20017, 476, 4522, 448, 5091, 311, 6832, 13042, 1667, 3233, 12, 954, 52498, 448, 7608, 1870, 13482, 12171, 287, 729, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 13482, 3233, 12, 954, 52498, 448, 1032, 23236, 15099, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 4862, 29195, 315, 13482, 3233, 12, 954, 52498, 1667, 7608, 1870, 13482, 8153, 320, 79652, 8, 389, 33699, 6758, 821, 11, 714, 14525, 311, 3410, 11514, 25709, 476, 6708, 382, 34764, 565, 10294, 8883, 198, 30133, 389, 4867, 3412, 11, 419, 5567, 21538, 311, 3410, 458, 6358, 315, 1128, 374, 2087, 389, 1393, 4862, 14155, 1667, 7608, 1870, 13482, 8153, 320, 79652, 701, 323, 3170, 807, 975, 13, 576, 12014, 23643, 419, 504, 279, 2266, 315, 4862, 264, 13482, 3233, 12, 27008, 448, 7608, 1870, 13482, 8153, 389, 33699, 6758, 821, 13, 2379, 990, 264, 21357, 10337, 304, 220, 18, 15336, 320, 6743, 15579, 323, 20980, 315, 63447, 8, 311, 6786, 279, 6358, 323, 62457, 1273, 279, 30078, 12180, 504, 279, 21357, 29425, 389, 279, 34995, 3846, 821, 13, 4354, 11, 279, 5567, 1558, 537, 3010, 894, 11514, 20017, 476, 4522, 448, 5091, 311, 6832, 13042, 1667, 3233, 12, 954, 52498, 448, 7608, 1870, 13482, 12171, 287, 729, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 13482, 3233, 12, 954, 52498, 448, 1032, 23236, 15099, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 4862, 29195, 315, 13482, 3233, 12, 954, 52498, 1667, 7608, 1870, 13482, 8153, 320, 79652, 8, 389, 33699, 6758, 821, 11, 714, 14525, 311, 3410, 11514, 25709, 476, 6708, 382, 34764, 565, 10294, 8883, 198, 30133, 389, 4867, 3412, 11, 419, 5567, 21538, 311, 3410, 458, 6358, 315, 1128, 374, 2087, 389, 1393, 4862, 14155, 1667, 7608, 1870, 13482, 8153, 320, 79652, 701, 323, 3170, 807, 975, 13, 576, 12014, 23643, 419, 504, 279, 2266, 315, 4862, 264, 13482, 3233, 12, 27008, 448, 7608, 1870, 13482, 8153, 389, 33699, 6758, 821, 13, 2379, 990, 264, 21357, 10337, 304, 220, 18, 15336, 320, 6743, 15579, 323, 20980, 315, 63447, 8, 311, 6786, 279, 6358, 323, 62457, 1273, 279, 30078, 12180, 504, 279, 21357, 29425, 389, 279, 34995, 3846, 821, 13, 4354, 11, 279, 5567, 1558, 537, 3010, 894, 11514, 20017, 476, 4522, 448, 5091, 311, 6832, 13042, 1667, 3233, 12, 954, 52498, 448, 7608, 1870, 13482, 12171, 287, 729, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 7608, 1870, 13482, 3233, 27008, 14155, 323, 358, 5049, 37623, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 7608, 1870, 13482, 3233, 27008, 14155, 11, 9027, 862, 37623, 311, 13482, 14155, 320, 31001, 8, 448, 279, 3694, 2477, 1056, 10748, 315, 4565, 6589, 13, 576, 6358, 23497, 389, 8660, 279, 5888, 315, 1493, 14155, 11, 3498, 432, 36756, 264, 3746, 17394, 476, 14861, 25709, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 85181, 5888, 315, 7608, 1870, 13482, 3233, 27008, 14155, 13, 758, 3953, 11, 279, 5567, 4933, 429, 7608, 1870, 13482, 14155, 525, 4428, 311, 13482, 14155, 320, 31001, 568, 576, 3598, 6672, 374, 279, 2477, 1056, 10748, 4319, 17338, 287, 863, 429, 6147, 279, 24551, 311, 3293, 264, 25993, 315, 4419, 13, 15132, 6589, 646, 387, 19334, 438, 264, 20980, 315, 358, 5049, 4119, 13, 576, 5567, 9124, 4756, 279, 17071, 38057, 9498, 369, 264, 220, 18, 35, 10337, 323, 4933, 429, 279, 3059, 525, 37661, 320, 72, 1734, 2572, 279, 9498, 17071, 38057, 12322, 279, 6813, 429, 2138, 279, 42638, 315, 279, 821, 568, 1913, 279, 6785, 3108, 11, 358, 1744, 429, 279, 5567, 3643, 458, 7040, 4774, 311, 3535, 5888, 315, 73998, 14155, 11, 892, 374, 11136, 2588, 1576, 315, 279, 73998, 1361, 13, 576, 5754, 315, 279, 15099, 729, 320, 2851, 1870, 13482, 8, 3643, 1741, 6358, 3204, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 36756, 3746, 17394, 476, 14861, 25709, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 7608, 1870, 13482, 3233, 27008, 14155, 323, 358, 5049, 37623, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 7608, 1870, 13482, 3233, 27008, 14155, 11, 9027, 862, 37623, 311, 13482, 14155, 320, 31001, 8, 448, 279, 3694, 2477, 1056, 10748, 315, 4565, 6589, 13, 576, 6358, 23497, 389, 8660, 279, 5888, 315, 1493, 14155, 11, 3498, 432, 36756, 264, 3746, 17394, 476, 14861, 25709, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 85181, 5888, 315, 7608, 1870, 13482, 3233, 27008, 14155, 13, 758, 3953, 11, 279, 5567, 4933, 429, 7608, 1870, 13482, 14155, 525, 4428, 311, 13482, 14155, 320, 31001, 568, 576, 3598, 6672, 374, 279, 2477, 1056, 10748, 4319, 17338, 287, 863, 429, 6147, 279, 24551, 311, 3293, 264, 25993, 315, 4419, 13, 15132, 6589, 646, 387, 19334, 438, 264, 20980, 315, 358, 5049, 4119, 13, 576, 5567, 9124, 4756, 279, 17071, 38057, 9498, 369, 264, 220, 18, 35, 10337, 323, 4933, 429, 279, 3059, 525, 37661, 320, 72, 1734, 2572, 279, 9498, 17071, 38057, 12322, 279, 6813, 429, 2138, 279, 42638, 315, 279, 821, 568, 1913, 279, 6785, 3108, 11, 358, 1744, 429, 279, 5567, 3643, 458, 7040, 4774, 311, 3535, 5888, 315, 73998, 14155, 11, 892, 374, 11136, 2588, 1576, 315, 279, 73998, 1361, 13, 576, 5754, 315, 279, 15099, 729, 320, 2851, 1870, 13482, 8, 3643, 1741, 6358, 3204, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 36756, 3746, 17394, 476, 14861, 25709, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 7608, 1870, 13482, 3233, 27008, 14155, 323, 358, 5049, 37623, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 7608, 1870, 13482, 3233, 27008, 14155, 11, 9027, 862, 37623, 311, 13482, 14155, 320, 31001, 8, 448, 279, 3694, 2477, 1056, 10748, 315, 4565, 6589, 13, 576, 6358, 23497, 389, 8660, 279, 5888, 315, 1493, 14155, 11, 3498, 432, 36756, 264, 3746, 17394, 476, 14861, 25709, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 85181, 5888, 315, 7608, 1870, 13482, 3233, 27008, 14155, 13, 758, 3953, 11, 279, 5567, 4933, 429, 7608, 1870, 13482, 14155, 525, 4428, 311, 13482, 14155, 320, 31001, 568, 576, 3598, 6672, 374, 279, 2477, 1056, 10748, 4319, 17338, 287, 863, 429, 6147, 279, 24551, 311, 3293, 264, 25993, 315, 4419, 13, 15132, 6589, 646, 387, 19334, 438, 264, 20980, 315, 358, 5049, 4119, 13, 576, 5567, 9124, 4756, 279, 17071, 38057, 9498, 369, 264, 220, 18, 35, 10337, 323, 4933, 429, 279, 3059, 525, 37661, 320, 72, 1734, 2572, 279, 9498, 17071, 38057, 12322, 279, 6813, 429, 2138, 279, 42638, 315, 279, 821, 568, 1913, 279, 6785, 3108, 11, 358, 1744, 429, 279, 5567, 3643, 458, 7040, 4774, 311, 3535, 5888, 315, 73998, 14155, 11, 892, 374, 11136, 2588, 1576, 315, 279, 73998, 1361, 13, 576, 5754, 315, 279, 15099, 729, 320, 2851, 1870, 13482, 8, 3643, 1741, 6358, 3204, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 36756, 3746, 17394, 476, 14861, 25709, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 7608, 1870, 13482, 3233, 27008, 14155, 323, 358, 5049, 37623, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 7608, 1870, 13482, 3233, 27008, 14155, 11, 9027, 862, 37623, 311, 13482, 14155, 320, 31001, 8, 448, 279, 3694, 2477, 1056, 10748, 315, 4565, 6589, 13, 576, 6358, 23497, 389, 8660, 279, 5888, 315, 1493, 14155, 11, 3498, 432, 36756, 264, 3746, 17394, 476, 14861, 25709, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 85181, 5888, 315, 7608, 1870, 13482, 3233, 27008, 14155, 13, 758, 3953, 11, 279, 5567, 4933, 429, 7608, 1870, 13482, 14155, 525, 4428, 311, 13482, 14155, 320, 31001, 568, 576, 3598, 6672, 374, 279, 2477, 1056, 10748, 4319, 17338, 287, 863, 429, 6147, 279, 24551, 311, 3293, 264, 25993, 315, 4419, 13, 15132, 6589, 646, 387, 19334, 438, 264, 20980, 315, 358, 5049, 4119, 13, 576, 5567, 9124, 4756, 279, 17071, 38057, 9498, 369, 264, 220, 18, 35, 10337, 323, 4933, 429, 279, 3059, 525, 37661, 320, 72, 1734, 2572, 279, 9498, 17071, 38057, 12322, 279, 6813, 429, 2138, 279, 42638, 315, 279, 821, 568, 1913, 279, 6785, 3108, 11, 358, 1744, 429, 279, 5567, 3643, 458, 7040, 4774, 311, 3535, 5888, 315, 73998, 14155, 11, 892, 374, 11136, 2588, 1576, 315, 279, 73998, 1361, 13, 576, 5754, 315, 279, 15099, 729, 320, 2851, 1870, 13482, 8, 3643, 1741, 6358, 3204, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 36756, 3746, 17394, 476, 14861, 25709, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 24089, 1948, 3233, 954, 52498, 11, 358, 5049, 11, 323, 29875, 13482, 10822, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 13234, 1948, 3233, 954, 52498, 448, 17339, 14324, 11, 7608, 1870, 13482, 8153, 11, 323, 358, 5049, 6832, 12890, 11, 21080, 389, 279, 52484, 56251, 315, 27765, 13482, 23092, 369, 1817, 3110, 13, 4354, 11, 279, 8622, 17394, 36756, 31273, 323, 15908, 90418, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 26643, 7746, 1948, 3233, 954, 52498, 448, 17339, 14324, 323, 7608, 1870, 13482, 8153, 320, 64287, 311, 8280, 269, 354, 1842, 452, 362, 3846, 49107, 220, 17, 15, 16, 16, 701, 279, 21495, 595, 33973, 596, 323, 8413, 7563, 7161, 287, 315, 3539, 973, 1842, 452, 13, 320, 32, 3846, 49107, 220, 17, 15, 16, 16, 323, 19288, 2668, 220, 17, 15, 16, 16, 701, 323, 279, 13482, 19938, 27008, 12681, 358, 5049, 6832, 35957, 315, 1967, 1842, 452, 320, 45, 25944, 220, 17, 15, 16, 16, 568, 576, 1156, 220, 18, 614, 304, 4185, 429, 11, 369, 1817, 3110, 11, 807, 7540, 264, 25993, 315, 2477, 36929, 320, 3028, 8, 8177, 8153, 11, 429, 1102, 504, 264, 4285, 12171, 287, 13, 1597, 432, 374, 18280, 429, 279, 4862, 16538, 8450, 21739, 311, 429, 25993, 33210, 311, 429, 315, 1967, 1842, 452, 594, 358, 5049, 13, 8999, 220, 17, 35, 323, 220, 18, 35, 14181, 448, 48568, 821, 1430, 311, 20001, 264, 52484, 56251, 315, 1128, 374, 2087, 389, 13, 358, 1477, 4751, 8036, 429, 1493, 5413, 3398, 389, 264, 2155, 13482, 8037, 369, 1817, 3110, 13, 576, 3151, 3633, 26366, 448, 1967, 1842, 452, 594, 358, 5049, 975, 374, 803, 7040, 11, 714, 432, 1172, 16790, 421, 444, 16, 4565, 978, 70880, 87294, 374, 19446, 304, 5256, 311, 279, 7608, 1870, 13482, 15099, 729, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 7040, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 24089, 1948, 3233, 954, 52498, 11, 358, 5049, 11, 323, 29875, 13482, 10822, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 13234, 1948, 3233, 954, 52498, 448, 17339, 14324, 11, 7608, 1870, 13482, 8153, 11, 323, 358, 5049, 6832, 12890, 11, 21080, 389, 279, 52484, 56251, 315, 27765, 13482, 23092, 369, 1817, 3110, 13, 4354, 11, 279, 8622, 17394, 36756, 31273, 323, 15908, 90418, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 26643, 7746, 1948, 3233, 954, 52498, 448, 17339, 14324, 323, 7608, 1870, 13482, 8153, 320, 64287, 311, 8280, 269, 354, 1842, 452, 362, 3846, 49107, 220, 17, 15, 16, 16, 701, 279, 21495, 595, 33973, 596, 323, 8413, 7563, 7161, 287, 315, 3539, 973, 1842, 452, 13, 320, 32, 3846, 49107, 220, 17, 15, 16, 16, 323, 19288, 2668, 220, 17, 15, 16, 16, 701, 323, 279, 13482, 19938, 27008, 12681, 358, 5049, 6832, 35957, 315, 1967, 1842, 452, 320, 45, 25944, 220, 17, 15, 16, 16, 568, 576, 1156, 220, 18, 614, 304, 4185, 429, 11, 369, 1817, 3110, 11, 807, 7540, 264, 25993, 315, 2477, 36929, 320, 3028, 8, 8177, 8153, 11, 429, 1102, 504, 264, 4285, 12171, 287, 13, 1597, 432, 374, 18280, 429, 279, 4862, 16538, 8450, 21739, 311, 429, 25993, 33210, 311, 429, 315, 1967, 1842, 452, 594, 358, 5049, 13, 8999, 220, 17, 35, 323, 220, 18, 35, 14181, 448, 48568, 821, 1430, 311, 20001, 264, 52484, 56251, 315, 1128, 374, 2087, 389, 13, 358, 1477, 4751, 8036, 429, 1493, 5413, 3398, 389, 264, 2155, 13482, 8037, 369, 1817, 3110, 13, 576, 3151, 3633, 26366, 448, 1967, 1842, 452, 594, 358, 5049, 975, 374, 803, 7040, 11, 714, 432, 1172, 16790, 421, 444, 16, 4565, 978, 70880, 87294, 374, 19446, 304, 5256, 311, 279, 7608, 1870, 13482, 15099, 729, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 7040, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364 ]
[ 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
[ 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 24089, 1948, 3233, 954, 52498, 11, 358, 5049, 11, 323, 29875, 13482, 10822, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 13234, 1948, 3233, 954, 52498, 448, 17339, 14324, 11, 7608, 1870, 13482, 8153, 11, 323, 358, 5049, 6832, 12890, 11, 21080, 389, 279, 52484, 56251, 315, 27765, 13482, 23092, 369, 1817, 3110, 13, 4354, 11, 279, 8622, 17394, 36756, 31273, 323, 15908, 90418, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 26643, 7746, 1948, 3233, 954, 52498, 448, 17339, 14324, 323, 7608, 1870, 13482, 8153, 320, 64287, 311, 8280, 269, 354, 1842, 452, 362, 3846, 49107, 220, 17, 15, 16, 16, 701, 279, 21495, 595, 33973, 596, 323, 8413, 7563, 7161, 287, 315, 3539, 973, 1842, 452, 13, 320, 32, 3846, 49107, 220, 17, 15, 16, 16, 323, 19288, 2668, 220, 17, 15, 16, 16, 701, 323, 279, 13482, 19938, 27008, 12681, 358, 5049, 6832, 35957, 315, 1967, 1842, 452, 320, 45, 25944, 220, 17, 15, 16, 16, 568, 576, 1156, 220, 18, 614, 304, 4185, 429, 11, 369, 1817, 3110, 11, 807, 7540, 264, 25993, 315, 2477, 36929, 320, 3028, 8, 8177, 8153, 11, 429, 1102, 504, 264, 4285, 12171, 287, 13, 1597, 432, 374, 18280, 429, 279, 4862, 16538, 8450, 21739, 311, 429, 25993, 33210, 311, 429, 315, 1967, 1842, 452, 594, 358, 5049, 13, 8999, 220, 17, 35, 323, 220, 18, 35, 14181, 448, 48568, 821, 1430, 311, 20001, 264, 52484, 56251, 315, 1128, 374, 2087, 389, 13, 358, 1477, 4751, 8036, 429, 1493, 5413, 3398, 389, 264, 2155, 13482, 8037, 369, 1817, 3110, 13, 576, 3151, 3633, 26366, 448, 1967, 1842, 452, 594, 358, 5049, 975, 374, 803, 7040, 11, 714, 432, 1172, 16790, 421, 444, 16, 4565, 978, 70880, 87294, 374, 19446, 304, 5256, 311, 279, 7608, 1870, 13482, 15099 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16837, 291, 13482, 11170, 448, 7608, 1870, 13482, 3233, 954, 52498, 271, 34764, 565, 13513, 8883, 198, 34762, 3213, 3059, 304, 5662, 6832, 614, 9555, 15908, 13234, 1948, 3233, 954, 52498, 4421, 471, 16488, 29728, 3922, 4119, 429, 4774, 311, 22800, 862, 11127, 4421, 437, 1008, 10822, 4119, 1075, 33444, 10822, 323, 730, 33973, 596, 13, 1096, 5567, 40324, 304, 7990, 458, 3233, 27008, 1614, 429, 374, 20346, 1667, 7608, 1870, 13482, 92495, 389, 1181, 8177, 8153, 13, 5633, 6358, 22111, 389, 3213, 3059, 311, 4623, 85340, 279, 1879, 315, 33444, 13482, 10822, 4119, 13, 1205, 3410, 458, 41679, 22845, 315, 279, 7709, 315, 1493, 10822, 4119, 323, 19869, 419, 56251, 1667, 2613, 11, 20443, 29425, 448, 3881, 42685, 382, 34764, 565, 13513, 55695, 198, 677, 22763, 6, 364, 6507, 6, 364, 2851, 1870, 13482, 3233, 954, 52498, 6, 364, 32056, 6832, 1248, 364, 627, 278, 13234, 6, 364, 3902, 954, 52498, 6, 364, 811, 4176, 3922, 4119, 6, 364, 24941, 1248, 364, 98223, 10822, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 24089, 1948, 3233, 954, 52498, 11, 358, 5049, 11, 323, 29875, 13482, 10822, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 13234, 1948, 3233, 954, 52498, 448, 17339, 14324, 11, 7608, 1870, 13482, 8153, 11, 323, 358, 5049, 6832, 12890, 11, 21080, 389, 279, 52484, 56251, 315, 27765, 13482, 23092, 369, 1817, 3110, 13, 4354, 11, 279, 8622, 17394, 36756, 31273, 323, 15908, 90418, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 26643, 7746, 1948, 3233, 954, 52498, 448, 17339, 14324, 323, 7608, 1870, 13482, 8153, 320, 64287, 311, 8280, 269, 354, 1842, 452, 362, 3846, 49107, 220, 17, 15, 16, 16, 701, 279, 21495, 595, 33973, 596, 323, 8413, 7563, 7161, 287, 315, 3539, 973, 1842, 452, 13, 320, 32, 3846, 49107, 220, 17, 15, 16, 16, 323, 19288, 2668, 220, 17, 15, 16, 16, 701, 323, 279, 13482, 19938, 27008, 12681, 358, 5049, 6832, 35957, 315, 1967, 1842, 452, 320, 45, 25944, 220, 17, 15, 16, 16, 568, 576, 1156, 220, 18, 614, 304, 4185, 429, 11, 369, 1817, 3110, 11, 807, 7540, 264, 25993, 315, 2477, 36929, 320, 3028, 8, 8177, 8153, 11, 429, 1102, 504, 264, 4285, 12171, 287, 13, 1597, 432, 374, 18280, 429, 279, 4862, 16538, 8450, 21739, 311, 429, 25993, 33210, 311, 429, 315, 1967, 1842, 452, 594, 358, 5049, 13, 8999, 220, 17, 35, 323, 220, 18, 35, 14181, 448, 48568, 821, 1430, 311, 20001, 264, 52484, 56251, 315, 1128, 374, 2087, 389, 13, 358, 1477, 4751, 8036, 429, 1493, 5413, 3398, 389, 264, 2155, 13482, 8037, 369, 1817, 3110, 13, 576, 3151, 3633, 26366, 448, 1967, 1842, 452, 594, 358, 5049, 975, 374, 803, 7040, 11, 714, 432, 1172, 16790, 421, 444, 16, 4565, 978, 70880, 87294, 374, 19446, 304, 5256, 311, 279, 7608, 1870, 13482, 15099 ]
[ 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
[ 729, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 7040, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 729, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 7040, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 13403, 14262, 304, 4565, 10822, 57673, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 13403, 14262, 315, 4565, 10822, 10856, 448, 13482, 71291, 11, 51897, 13403, 3118, 389, 10997, 1379, 323, 25021, 279, 49743, 2456, 13166, 304, 6588, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 3410, 458, 6358, 315, 279, 13403, 14262, 315, 4565, 10822, 488, 13482, 33365, 57673, 13, 2379, 7023, 458, 44868, 13403, 6822, 2661, 279, 10997, 1379, 323, 12440, 16045, 279, 24844, 13166, 304, 279, 17206, 1380, 13403, 12703, 448, 10997, 1379, 714, 1083, 93477, 973, 13, 85401, 973, 9481, 315, 25600, 4119, 323, 8510, 83, 2673, 1101, 9606, 279, 990, 315, 19117, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 71124, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 10234, 8478, 57264, 25, 19998, 48075, 438, 451, 597, 441, 95309, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 279, 6366, 11129, 323, 5662, 6832, 3942, 702, 1012, 304, 4694, 315, 4565, 32189, 57673, 429, 17188, 389, 264, 10822, 3019, 8110, 553, 264, 13482, 33365, 11, 4152, 311, 862, 8084, 38975, 11, 1632, 15985, 5888, 315, 13482, 71291, 11, 323, 862, 54480, 15024, 13, 758, 419, 5567, 582, 29614, 264, 11514, 1651, 315, 419, 15301, 3118, 389, 10001, 5413, 323, 451, 597, 441, 24892, 13, 758, 3953, 11, 582, 5244, 389, 279, 10822, 315, 264, 821, 1459, 448, 264, 2205, 13042, 3118, 389, 264, 10997, 448, 16745, 5424, 1091, 279, 1372, 315, 821, 3501, 11, 323, 1651, 432, 438, 458, 56204, 311, 279, 5042, 729, 429, 1035, 12564, 6716, 44439, 37623, 311, 678, 821, 3501, 320, 60817, 2238, 1657, 311, 12564, 304, 6588, 701, 8110, 553, 264, 451, 597, 441, 24892, 3019, 311, 3293, 264, 25993, 315, 678, 821, 3501, 13, 23405, 11, 2474, 14262, 525, 3881, 389, 279, 56204, 2355, 315, 451, 597, 441, 24892, 438, 264, 729, 315, 1246, 1657, 10469, 320, 72, 1734, 13, 10997, 1379, 8, 582, 2908, 11, 582, 646, 42430, 14262, 389, 279, 56204, 315, 279, 4734, 320, 8088, 11392, 311, 12564, 8, 10001, 6172, 11, 323, 990, 432, 438, 264, 13291, 311, 7023, 13403, 438, 264, 729, 315, 279, 10997, 1379, 13, 1096, 1614, 1231, 1492, 25021, 279, 6785, 2456, 315, 279, 2038, 2190, 1379, 323, 1101, 7766, 279, 1184, 311, 5611, 803, 13617, 320, 60817, 13862, 311, 438, 5538, 6832, 701, 438, 10063, 4119, 37869, 2673, 93477, 349, 438, 582, 912, 803, 23094, 382, 34764, 565, 13513, 55695, 198, 677, 77, 597, 441, 6, 364, 691, 3501, 6, 364, 2141, 12850, 6, 364, 12753, 6, 364, 48053, 5465, 6, 364, 34019, 1248, 364, 1688, 6, 364, 35671, 1379, 6, 364, 43111, 11129, 1248, 364, 32056, 6832, 3942, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 13403, 14262, 304, 4565, 10822, 57673, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 13403, 14262, 315, 4565, 10822, 10856, 448, 13482, 71291, 11, 51897, 13403, 3118, 389, 10997, 1379, 323, 25021, 279, 49743, 2456, 13166, 304, 6588, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 3410, 458, 6358, 315, 279, 13403, 14262, 315, 4565, 10822, 488, 13482, 33365, 57673, 13, 2379, 7023, 458, 44868, 13403, 6822, 2661, 279, 10997, 1379, 323, 12440, 16045, 279, 24844, 13166, 304, 279, 17206, 1380, 13403, 12703, 448, 10997, 1379, 714, 1083, 93477, 973, 13, 85401, 973, 9481, 315, 25600, 4119, 323, 8510, 83, 2673, 1101, 9606, 279, 990, 315, 19117, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 71124, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 10234, 8478, 57264, 25, 19998, 48075, 438, 451, 597, 441, 95309, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 279, 6366, 11129, 323, 5662, 6832, 3942, 702, 1012, 304, 4694, 315, 4565, 32189, 57673, 429, 17188, 389, 264, 10822, 3019, 8110, 553, 264, 13482, 33365, 11, 4152, 311, 862, 8084, 38975, 11, 1632, 15985, 5888, 315, 13482, 71291, 11, 323, 862, 54480, 15024, 13, 758, 419, 5567, 582, 29614, 264, 11514, 1651, 315, 419, 15301, 3118, 389, 10001, 5413, 323, 451, 597, 441, 24892, 13, 758, 3953, 11, 582, 5244, 389, 279, 10822, 315, 264, 821, 1459, 448, 264, 2205, 13042, 3118, 389, 264, 10997, 448, 16745, 5424, 1091, 279, 1372, 315, 821, 3501, 11, 323, 1651, 432, 438, 458, 56204, 311, 279, 5042, 729, 429, 1035, 12564, 6716, 44439, 37623, 311, 678, 821, 3501, 320, 60817, 2238, 1657, 311, 12564, 304, 6588, 701, 8110, 553, 264, 451, 597, 441, 24892, 3019, 311, 3293, 264, 25993, 315, 678, 821, 3501, 13, 23405, 11, 2474, 14262, 525, 3881, 389, 279, 56204, 2355, 315, 451, 597, 441, 24892, 438, 264, 729, 315, 1246, 1657, 10469, 320, 72, 1734, 13, 10997, 1379, 8, 582, 2908, 11, 582, 646, 42430, 14262, 389, 279, 56204, 315, 279, 4734, 320, 8088, 11392, 311, 12564, 8, 10001, 6172, 11, 323, 990, 432, 438, 264, 13291, 311, 7023, 13403, 438, 264, 729, 315, 279, 10997, 1379, 13, 1096, 1614, 1231, 1492, 25021, 279, 6785, 2456, 315, 279, 2038, 2190, 1379, 323, 1101, 7766, 279, 1184, 311, 5611, 803, 13617, 320, 60817, 13862, 311, 438, 5538, 6832, 701, 438, 10063, 4119, 37869, 2673, 93477, 349, 438, 582, 912, 803, 23094, 382, 34764, 565, 13513, 55695, 198, 677, 77, 597, 441, 6, 364, 691, 3501, 6, 364, 2141, 12850, 6, 364, 12753, 6, 364, 48053, 5465, 6, 364, 34019, 1248, 364, 1688, 6, 364, 35671, 1379, 6, 364, 43111, 11129, 1248, 364, 32056, 6832, 3942, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 10234, 8478, 57264, 25, 19998, 48075, 438, 451, 597, 441, 95309, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 279, 6366, 11129, 323, 5662, 6832, 3942, 702, 1012, 304, 4694, 315, 4565, 32189, 57673, 429, 17188, 389, 264, 10822, 3019, 8110, 553, 264, 13482, 33365, 11, 4152, 311, 862, 8084, 38975, 11, 1632, 15985, 5888, 315, 13482, 71291, 11, 323, 862, 54480, 15024, 13, 758, 419, 5567, 582, 29614, 264, 11514, 1651, 315, 419, 15301, 3118, 389, 10001, 5413, 323, 451, 597, 441, 24892, 13, 758, 3953, 11, 582, 5244, 389, 279, 10822, 315, 264, 821, 1459, 448, 264, 2205, 13042, 3118, 389, 264, 10997, 448, 16745, 5424, 1091, 279, 1372, 315, 821, 3501, 11, 323, 1651, 432, 438, 458, 56204, 311, 279, 5042, 729, 429, 1035, 12564, 6716, 44439, 37623, 311, 678, 821, 3501, 320, 60817, 2238, 1657, 311, 12564, 304, 6588, 701, 8110, 553, 264, 451, 597, 441, 24892, 3019, 311, 3293, 264, 25993, 315, 678, 821, 3501, 13, 23405, 11, 2474, 14262, 525, 3881, 389, 279, 56204, 2355, 315, 451, 597, 441, 24892, 438, 264, 729, 315, 1246, 1657, 10469, 320, 72, 1734, 13, 10997, 1379, 8, 582, 2908, 11, 582, 646, 42430, 14262, 389, 279, 56204, 315, 279, 4734, 320, 8088, 11392, 311, 12564, 8, 10001, 6172, 11, 323, 990, 432, 438, 264, 13291, 311, 7023, 13403, 438, 264, 729, 315, 279, 10997, 1379, 13, 1096, 1614, 1231, 1492, 25021, 279, 6785, 2456, 315, 279, 2038, 2190, 1379, 323, 1101, 7766, 279, 1184, 311, 5611, 803, 13617, 320, 60817, 13862, 311, 438, 5538, 6832, 701, 438, 10063, 4119, 37869, 2673, 93477, 349, 438, 582, 912, 803, 23094, 382, 34764, 565, 13513, 55695, 198, 677, 77, 597, 441, 6, 364, 691, 3501, 6, 364, 2141, 12850, 6, 364, 12753, 6, 364, 48053, 5465, 6, 364, 34019, 1248, 364, 1688, 6, 364, 35671, 1379, 6, 364, 43111, 11129, 1248, 364, 32056, 6832, 3942, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 13403, 14262, 304, 4565, 10822, 57673, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 13403, 14262, 315, 4565, 10822, 10856, 448, 13482, 71291, 11, 51897, 13403, 3118, 389, 10997, 1379, 323, 25021, 279, 49743, 2456, 13166, 304, 6588, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 3410, 458, 6358, 315, 279, 13403, 14262, 315, 4565, 10822, 488, 13482, 33365, 57673, 13, 2379, 7023, 458, 44868, 13403, 6822, 2661, 279, 10997, 1379, 323, 12440, 16045, 279, 24844, 13166, 304, 279, 17206, 1380, 13403, 12703, 448, 10997, 1379, 714, 1083, 93477, 973, 13, 85401, 973, 9481, 315, 25600, 4119, 323, 8510, 83, 2673, 1101, 9606, 279, 990, 315, 19117, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 71124, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 10234, 8478, 57264, 25, 19998, 48075, 438, 451, 597, 441, 95309, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 279, 6366, 11129, 323, 5662, 6832, 3942, 702, 1012, 304, 4694, 315, 4565, 32189, 57673, 429, 17188, 389, 264, 10822, 3019, 8110, 553, 264, 13482, 33365, 11, 4152, 311, 862, 8084, 38975, 11, 1632, 15985, 5888, 315, 13482, 71291, 11, 323, 862, 54480, 15024, 13, 758, 419, 5567, 582, 29614, 264, 11514, 1651, 315, 419, 15301, 3118, 389, 10001, 5413, 323, 451, 597, 441, 24892, 13, 758, 3953, 11, 582, 5244, 389, 279, 10822, 315, 264, 821, 1459, 448, 264, 2205, 13042, 3118, 389, 264, 10997, 448, 16745, 5424, 1091, 279, 1372, 315, 821, 3501, 11, 323, 1651, 432, 438, 458, 56204, 311, 279, 5042, 729, 429, 1035, 12564, 6716, 44439, 37623, 311, 678, 821, 3501, 320, 60817, 2238, 1657, 311, 12564, 304, 6588, 701, 8110, 553, 264, 451, 597, 441, 24892, 3019, 311, 3293, 264, 25993, 315, 678, 821, 3501, 13, 23405, 11, 2474, 14262, 525, 3881, 389, 279, 56204, 2355, 315, 451, 597, 441, 24892, 438, 264, 729, 315, 1246, 1657, 10469, 320, 72, 1734, 13, 10997, 1379, 8, 582, 2908, 11, 582, 646, 42430, 14262, 389, 279, 56204, 315, 279, 4734, 320, 8088, 11392, 311, 12564, 8, 10001, 6172, 11, 323, 990, 432, 438, 264, 13291, 311, 7023, 13403, 438, 264, 729, 315, 279, 10997, 1379, 13, 1096, 1614, 1231, 1492, 25021, 279, 6785, 2456, 315, 279, 2038, 2190, 1379, 323, 1101, 7766, 279, 1184, 311, 5611, 803, 13617, 320, 60817, 13862, 311, 438, 5538, 6832, 701, 438, 10063, 4119, 37869, 2673, 93477, 349, 438, 582, 912, 803, 23094, 382, 34764, 565, 13513, 55695, 198, 677, 77, 597, 441, 6, 364, 691, 3501, 6, 364, 2141, 12850, 6, 364, 12753, 6, 364, 48053, 5465, 6, 364, 34019, 1248, 364, 1688, 6, 364, 35671, 1379, 6, 364, 43111, 11129, 1248, 364, 32056, 6832, 3942, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 13403, 14262, 304, 4565, 10822, 57673, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 13403, 14262, 315, 4565, 10822, 10856, 448, 13482, 71291, 11, 51897, 13403, 3118, 389, 10997, 1379, 323, 25021, 279, 49743, 2456, 13166, 304, 6588, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 3410, 458, 6358, 315, 279, 13403, 14262, 315, 4565, 10822, 488, 13482, 33365, 57673, 13, 2379, 7023, 458, 44868, 13403, 6822, 2661, 279, 10997, 1379, 323, 12440, 16045, 279, 24844, 13166, 304, 279, 17206, 1380, 13403, 12703, 448, 10997, 1379, 714, 1083, 93477, 973, 13, 85401, 973, 9481, 315, 25600, 4119, 323, 8510, 83, 2673, 1101, 9606, 279, 990, 315, 19117, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 71124, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 785, 90767, 6358, 315, 4565, 32189, 4566, 451, 597, 441, 24892, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 11514, 31787, 6358, 315, 4565, 32189, 5942, 1667, 451, 597, 441, 24892, 369, 10001, 5413, 13, 1084, 63564, 264, 6822, 369, 279, 1465, 304, 14064, 279, 2480, 10997, 553, 264, 451, 597, 441, 1331, 65007, 2319, 323, 2239, 419, 311, 1473, 429, 279, 44868, 10001, 6172, 374, 3265, 311, 279, 830, 10001, 6172, 11, 8241, 264, 13291, 369, 23850, 1465, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 31787, 6358, 323, 45663, 10519, 315, 264, 11514, 1651, 315, 4565, 32189, 5942, 3118, 389, 279, 4522, 315, 451, 597, 441, 24892, 369, 10001, 5413, 13, 576, 1887, 4522, 374, 311, 23643, 279, 10001, 6172, 369, 264, 4565, 3550, 4512, 553, 458, 1007, 10603, 7514, 490, 4565, 32189, 1849, 13, 758, 1741, 264, 1849, 11, 264, 6822, 374, 10820, 369, 279, 1465, 304, 14064, 279, 364, 8878, 6, 10997, 23415, 315, 678, 821, 3501, 553, 264, 451, 597, 441, 9848, 7145, 2319, 320, 72, 1734, 2572, 15251, 553, 5147, 29709, 279, 821, 3501, 26618, 568, 576, 6822, 374, 1221, 11577, 311, 1473, 429, 279, 44868, 10001, 6172, 12180, 1667, 279, 451, 597, 441, 1331, 65007, 10997, 374, 3265, 311, 279, 830, 10001, 6172, 11, 323, 432, 374, 18280, 429, 279, 4271, 315, 279, 56204, 374, 264, 13276, 13291, 369, 279, 23850, 1465, 582, 646, 1720, 1283, 4862, 382, 34764, 565, 10294, 19216, 198, 19, 25, 71124, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 10234, 8478, 57264, 25, 19998, 48075, 438, 451, 597, 441, 95309, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 279, 6366, 11129, 323, 5662, 6832, 3942, 702, 1012, 304, 4694, 315, 4565, 32189, 57673, 429, 17188, 389, 264, 10822, 3019, 8110, 553, 264, 13482, 33365, 11, 4152, 311, 862, 8084, 38975, 11, 1632, 15985, 5888, 315, 13482, 71291, 11, 323, 862, 54480, 15024, 13, 758, 419, 5567, 582, 29614, 264, 11514, 1651, 315, 419, 15301, 3118, 389, 10001, 5413, 323, 451, 597, 441, 24892, 13, 758, 3953, 11, 582, 5244, 389, 279, 10822, 315, 264, 821, 1459, 448, 264, 2205, 13042, 3118, 389, 264, 10997, 448, 16745, 5424, 1091, 279, 1372, 315, 821, 3501, 11, 323, 1651, 432, 438, 458, 56204, 311, 279, 5042, 729, 429, 1035, 12564, 6716, 44439, 37623, 311, 678, 821, 3501, 320, 60817, 2238, 1657, 311, 12564, 304, 6588, 701, 8110, 553, 264, 451, 597, 441, 24892, 3019, 311, 3293, 264, 25993, 315, 678, 821, 3501, 13, 23405, 11, 2474, 14262, 525, 3881, 389, 279, 56204, 2355, 315, 451, 597, 441, 24892, 438, 264, 729, 315, 1246, 1657, 10469, 320, 72, 1734 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 785, 90767, 6358, 315, 4565, 32189, 4566, 451, 597, 441, 24892, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 11514, 31787, 6358, 315, 4565, 32189, 5942, 1667, 451, 597, 441, 24892, 369, 10001, 5413, 13, 1084, 63564, 264, 6822, 369, 279, 1465, 304, 14064, 279, 2480, 10997, 553, 264, 451, 597, 441, 1331, 65007, 2319, 323, 2239, 419, 311, 1473, 429, 279, 44868, 10001, 6172, 374, 3265, 311, 279, 830, 10001, 6172, 11, 8241, 264, 13291, 369, 23850, 1465, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 31787, 6358, 323, 45663, 10519, 315, 264, 11514, 1651, 315, 4565, 32189, 5942, 3118, 389, 279, 4522, 315, 451, 597, 441, 24892, 369, 10001, 5413, 13, 576, 1887, 4522, 374, 311, 23643, 279, 10001, 6172, 369, 264, 4565, 3550, 4512, 553, 458, 1007, 10603, 7514, 490, 4565, 32189, 1849, 13, 758, 1741, 264, 1849, 11, 264, 6822, 374, 10820, 369, 279, 1465, 304, 14064, 279, 364, 8878, 6, 10997, 23415, 315, 678, 821, 3501, 553, 264, 451, 597, 441, 9848, 7145, 2319, 320, 72, 1734, 2572, 15251, 553, 5147, 29709, 279, 821, 3501, 26618, 568, 576, 6822, 374, 1221, 11577, 311, 1473, 429, 279, 44868, 10001, 6172, 12180, 1667, 279, 451, 597, 441, 1331, 65007, 10997, 374, 3265, 311, 279, 830, 10001, 6172, 11, 323, 432, 374, 18280, 429, 279, 4271, 315, 279, 56204, 374, 264, 13276, 13291, 369, 279, 23850, 1465, 582, 646, 1720, 1283, 4862, 382, 34764, 565, 10294, 19216, 198, 19, 25, 71124, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 10234, 8478, 57264, 25, 19998, 48075, 438, 451, 597, 441, 95309, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 279, 6366, 11129, 323, 5662, 6832, 3942, 702, 1012, 304, 4694, 315, 4565, 32189, 57673, 429, 17188, 389, 264, 10822, 3019, 8110, 553, 264, 13482, 33365, 11, 4152, 311, 862, 8084, 38975, 11, 1632, 15985, 5888, 315, 13482, 71291, 11, 323, 862, 54480, 15024, 13, 758, 419, 5567, 582, 29614, 264, 11514, 1651, 315, 419, 15301, 3118, 389, 10001, 5413, 323, 451, 597, 441, 24892, 13, 758, 3953, 11, 582, 5244, 389, 279, 10822, 315, 264, 821, 1459, 448, 264, 2205, 13042, 3118, 389, 264, 10997, 448, 16745, 5424, 1091, 279, 1372, 315, 821, 3501, 11, 323, 1651, 432, 438, 458, 56204, 311, 279, 5042, 729, 429, 1035, 12564, 6716, 44439, 37623, 311, 678, 821, 3501, 320, 60817, 2238, 1657, 311, 12564, 304, 6588, 701, 8110, 553, 264, 451, 597, 441, 24892, 3019, 311, 3293, 264, 25993, 315, 678, 821, 3501, 13, 23405, 11, 2474, 14262, 525, 3881, 389, 279, 56204, 2355, 315, 451, 597, 441, 24892, 438, 264, 729, 315, 1246, 1657, 10469, 320, 72, 1734 ]
[ 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
[ 13, 10997, 1379, 8, 582, 2908, 11, 582, 646, 42430, 14262, 389, 279, 56204, 315, 279, 4734, 320, 8088, 11392, 311, 12564, 8, 10001, 6172, 11, 323, 990, 432, 438, 264, 13291, 311, 7023, 13403, 438, 264, 729, 315, 279, 10997, 1379, 13, 1096, 1614, 1231, 1492, 25021, 279, 6785, 2456, 315, 279, 2038, 2190, 1379, 323, 1101, 7766, 279, 1184, 311, 5611, 803, 13617, 320, 60817, 13862, 311, 438, 5538, 6832, 701, 438, 10063, 4119, 37869, 2673, 93477, 349, 438, 582, 912, 803, 23094, 382, 34764, 565, 13513, 55695, 198, 677, 77, 597, 441, 6, 364, 691, 3501, 6, 364, 2141, 12850, 6, 364, 12753, 6, 364, 48053, 5465, 6, 364, 34019, 1248, 364, 1688, 6, 364, 35671, 1379, 6, 364, 43111, 11129, 1248, 364, 32056, 6832, 3942, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13, 10997, 1379, 8, 582, 2908, 11, 582, 646, 42430, 14262, 389, 279, 56204, 315, 279, 4734, 320, 8088, 11392, 311, 12564, 8, 10001, 6172, 11, 323, 990, 432, 438, 264, 13291, 311, 7023, 13403, 438, 264, 729, 315, 279, 10997, 1379, 13, 1096, 1614, 1231, 1492, 25021, 279, 6785, 2456, 315, 279, 2038, 2190, 1379, 323, 1101, 7766, 279, 1184, 311, 5611, 803, 13617, 320, 60817, 13862, 311, 438, 5538, 6832, 701, 438, 10063, 4119, 37869, 2673, 93477, 349, 438, 582, 912, 803, 23094, 382, 34764, 565, 13513, 55695, 198, 677, 77, 597, 441, 6, 364, 691, 3501, 6, 364, 2141, 12850, 6, 364, 12753, 6, 364, 48053, 5465, 6, 364, 34019, 1248, 364, 1688, 6, 364, 35671, 1379, 6, 364, 43111, 11129, 1248, 364, 32056, 6832, 3942, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 10234, 8478, 57264, 25, 19998, 48075, 438, 451, 597, 441, 95309, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 279, 6366, 11129, 323, 5662, 6832, 3942, 702, 1012, 304, 4694, 315, 4565, 32189, 57673, 429, 17188, 389, 264, 10822, 3019, 8110, 553, 264, 13482, 33365, 11, 4152, 311, 862, 8084, 38975, 11, 1632, 15985, 5888, 315, 13482, 71291, 11, 323, 862, 54480, 15024, 13, 758, 419, 5567, 582, 29614, 264, 11514, 1651, 315, 419, 15301, 3118, 389, 10001, 5413, 323, 451, 597, 441, 24892, 13, 758, 3953, 11, 582, 5244, 389, 279, 10822, 315, 264, 821, 1459, 448, 264, 2205, 13042, 3118, 389, 264, 10997, 448, 16745, 5424, 1091, 279, 1372, 315, 821, 3501, 11, 323, 1651, 432, 438, 458, 56204, 311, 279, 5042, 729, 429, 1035, 12564, 6716, 44439, 37623, 311, 678, 821, 3501, 320, 60817, 2238, 1657, 311, 12564, 304, 6588, 701, 8110, 553, 264, 451, 597, 441, 24892, 3019, 311, 3293, 264, 25993, 315, 678, 821, 3501, 13, 23405, 11, 2474, 14262, 525, 3881, 389, 279, 56204, 2355, 315, 451, 597, 441, 24892, 438, 264, 729, 315, 1246, 1657, 10469, 320, 72, 1734, 13, 10997, 1379, 8, 582, 2908, 11, 582, 646, 42430, 14262, 389, 279, 56204, 315, 279, 4734, 320, 8088, 11392, 311, 12564, 8, 10001, 6172, 11, 323, 990, 432, 438, 264, 13291, 311, 7023, 13403, 438, 264, 729, 315, 279, 10997, 1379, 13, 1096, 1614, 1231, 1492, 25021, 279, 6785, 2456, 315, 279, 2038, 2190, 1379, 323, 1101, 7766, 279, 1184, 311, 5611, 803, 13617, 320, 60817, 13862, 311, 438, 5538, 6832, 701, 438, 10063, 4119, 37869, 2673, 93477, 349, 438, 582, 912, 803, 23094, 382, 34764, 565, 13513, 55695, 198, 677, 77, 597, 441, 6, 364, 691, 3501, 6, 364, 2141, 12850, 6, 364, 12753, 6, 364, 48053, 5465, 6, 364, 34019, 1248, 364, 1688, 6, 364, 35671, 1379, 6, 364, 43111, 11129, 1248, 364, 32056, 6832, 3942, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 785, 90767, 6358, 315, 4565, 32189, 4566, 451, 597, 441, 24892, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 11514, 31787, 6358, 315, 4565, 32189, 5942, 1667, 451, 597, 441, 24892, 369, 10001, 5413, 13, 1084, 63564, 264, 6822, 369, 279, 1465, 304, 14064, 279, 2480, 10997, 553, 264, 451, 597, 441, 1331, 65007, 2319, 323, 2239, 419, 311, 1473, 429, 279, 44868, 10001, 6172, 374, 3265, 311, 279, 830, 10001, 6172, 11, 8241, 264, 13291, 369, 23850, 1465, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 31787, 6358, 323, 45663, 10519, 315, 264, 11514, 1651, 315, 4565, 32189, 5942, 3118, 389, 279, 4522, 315, 451, 597, 441, 24892, 369, 10001, 5413, 13, 576, 1887, 4522, 374, 311, 23643, 279, 10001, 6172, 369, 264, 4565, 3550, 4512, 553, 458, 1007, 10603, 7514, 490, 4565, 32189, 1849, 13, 758, 1741, 264, 1849, 11, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 10234, 8478, 57264, 25, 19998, 48075, 438, 451, 597, 441, 95309, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 279, 6366, 11129, 323, 5662, 6832, 3942, 702, 1012, 304, 4694, 315, 4565, 32189, 57673, 429, 17188, 389, 264, 10822, 3019, 8110, 553, 264, 13482, 33365, 11, 4152, 311, 862, 8084, 38975, 11, 1632, 15985, 5888, 315, 13482, 71291, 11, 323, 862, 54480, 15024, 13, 758, 419, 5567, 582, 29614, 264, 11514, 1651, 315, 419, 15301, 3118, 389, 10001, 5413, 323, 451, 597, 441, 24892, 13, 758, 3953, 11, 582, 5244, 389, 279, 10822, 315, 264, 821, 1459, 448, 264, 2205, 13042, 3118, 389, 264, 10997, 448, 16745, 5424, 1091, 279, 1372, 315, 821, 3501, 11, 323, 1651, 432, 438, 458, 56204, 311, 279, 5042, 729, 429, 1035, 12564, 6716, 44439, 37623, 311, 678, 821, 3501, 320, 60817, 2238, 1657, 311, 12564, 304, 6588, 701, 8110, 553, 264, 451, 597, 441, 24892, 3019, 311, 3293, 264, 25993, 315, 678, 821, 3501, 13, 23405, 11, 2474, 14262, 525, 3881, 389, 279, 56204, 2355, 315, 451, 597, 441, 24892, 438, 264, 729, 315, 1246, 1657, 10469, 320, 72, 1734, 13, 10997, 1379, 8, 582, 2908, 11, 582, 646, 42430, 14262, 389, 279, 56204, 315, 279, 4734, 320, 8088, 11392, 311, 12564, 8, 10001, 6172, 11, 323, 990, 432, 438, 264, 13291, 311, 7023, 13403, 438, 264, 729, 315, 279, 10997, 1379, 13, 1096, 1614, 1231, 1492, 25021, 279, 6785, 2456, 315, 279, 2038, 2190, 1379, 323, 1101, 7766, 279, 1184, 311, 5611, 803, 13617, 320, 60817, 13862, 311, 438, 5538, 6832, 701, 438, 10063, 4119, 37869, 2673, 93477, 349, 438, 582, 912, 803, 23094, 382, 34764, 565, 13513, 55695, 198, 677, 77, 597, 441, 6, 364, 691, 3501, 6, 364, 2141, 12850, 6, 364, 12753, 6, 364, 48053, 5465, 6, 364, 34019, 1248, 364, 1688, 6, 364, 35671, 1379, 6, 364, 43111, 11129, 1248, 364, 32056, 6832, 3942, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 785, 90767, 6358, 315, 4565, 32189, 4566, 451, 597, 441, 24892, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 11514, 31787, 6358, 315, 4565, 32189, 5942, 1667, 451, 597, 441, 24892, 369, 10001, 5413, 13, 1084, 63564, 264, 6822, 369, 279, 1465, 304, 14064, 279, 2480, 10997, 553, 264, 451, 597, 441, 1331, 65007, 2319, 323, 2239, 419, 311, 1473, 429, 279, 44868, 10001, 6172, 374, 3265, 311, 279, 830, 10001, 6172, 11, 8241, 264, 13291, 369, 23850, 1465, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 31787, 6358, 323, 45663, 10519, 315, 264, 11514, 1651, 315, 4565, 32189, 5942, 3118, 389, 279, 4522, 315, 451, 597, 441, 24892, 369, 10001, 5413, 13, 576, 1887, 4522, 374, 311, 23643, 279, 10001, 6172, 369, 264, 4565, 3550, 4512, 553, 458, 1007, 10603, 7514, 490, 4565, 32189, 1849, 13, 758, 1741, 264, 1849, 11, 264 ]
[ 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
[ 6822, 374, 10820, 369, 279, 1465, 304, 14064, 279, 364, 8878, 6, 10997, 23415, 315, 678, 821, 3501, 553, 264, 451, 597, 441, 9848, 7145, 2319, 320, 72, 1734, 2572, 15251, 553, 5147, 29709, 279, 821, 3501, 26618, 568, 576, 6822, 374, 1221, 11577, 311, 1473, 429, 279, 44868, 10001, 6172, 12180, 1667, 279, 451, 597, 441, 1331, 65007, 10997, 374, 3265, 311, 279, 830, 10001, 6172, 11, 323, 432, 374, 18280, 429, 279, 4271, 315, 279, 56204, 374, 264, 13276, 13291, 369, 279, 23850, 1465, 582, 646, 1720, 1283, 4862, 382, 34764, 565, 10294, 19216, 198, 19, 25, 71124, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6822, 374, 10820, 369, 279, 1465, 304, 14064, 279, 364, 8878, 6, 10997, 23415, 315, 678, 821, 3501, 553, 264, 451, 597, 441, 9848, 7145, 2319, 320, 72, 1734, 2572, 15251, 553, 5147, 29709, 279, 821, 3501, 26618, 568, 576, 6822, 374, 1221, 11577, 311, 1473, 429, 279, 44868, 10001, 6172, 12180, 1667, 279, 451, 597, 441, 1331, 65007, 10997, 374, 3265, 311, 279, 830, 10001, 6172, 11, 323, 432, 374, 18280, 429, 279, 4271, 315, 279, 56204, 374, 264, 13276, 13291, 369, 279, 23850, 1465, 582, 646, 1720, 1283, 4862, 382, 34764, 565, 10294, 19216, 198, 19, 25, 71124, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 21685, 23450, 1506, 20668, 40325, 369, 444, 16, 28800, 1506, 451, 31607, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 501, 12111, 369, 444, 16, 5792, 1506, 451, 31607, 1667, 730, 617, 1419, 46168, 579, 1536, 81158, 11, 34171, 12557, 65266, 8837, 448, 264, 37236, 20668, 56204, 369, 11050, 25262, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 501, 12111, 369, 21828, 444, 16, 5792, 1506, 451, 31607, 5322, 304, 892, 279, 26345, 4647, 374, 279, 730, 617, 1419, 46168, 8629, 81158, 13, 576, 8282, 32411, 279, 11416, 12557, 65266, 8837, 448, 264, 37236, 56204, 315, 20668, 594, 1714, 369, 21828, 279, 730, 33539, 4682, 315, 279, 451, 31607, 25262, 3491, 13, 1096, 56204, 3059, 304, 264, 12557, 65266, 2647, 429, 374, 3716, 29054, 3100, 13, 8704, 279, 16538, 729, 2578, 5263, 1212, 279, 20668, 8837, 11, 279, 3150, 54625, 311, 24303, 12564, 2176, 12557, 65266, 323, 20668, 8837, 323, 5157, 279, 825, 429, 18644, 279, 7772, 36952, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 21685, 23450, 1506, 20668, 40325, 369, 444, 16, 28800, 1506, 451, 31607, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 501, 12111, 369, 444, 16, 5792, 1506, 451, 31607, 1667, 730, 617, 1419, 46168, 579, 1536, 81158, 11, 34171, 12557, 65266, 8837, 448, 264, 37236, 20668, 56204, 369, 11050, 25262, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 501, 12111, 369, 21828, 444, 16, 5792, 1506, 451, 31607, 5322, 304, 892, 279, 26345, 4647, 374, 279, 730, 617, 1419, 46168, 8629, 81158, 13, 576, 8282, 32411, 279, 11416, 12557, 65266, 8837, 448, 264, 37236, 56204, 315, 20668, 594, 1714, 369, 21828, 279, 730, 33539, 4682, 315, 279, 451, 31607, 25262, 3491, 13, 1096, 56204, 3059, 304, 264, 12557, 65266, 2647, 429, 374, 3716, 29054, 3100, 13, 8704, 279, 16538, 729, 2578, 5263, 1212, 279, 20668, 8837, 11, 279, 3150, 54625, 311, 24303, 12564, 2176, 12557, 65266, 323, 20668, 8837, 323, 5157, 279, 825, 429, 18644, 279, 7772, 36952, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 21685, 23450, 1506, 20668, 40325, 369, 444, 16, 28800, 1506, 451, 31607, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 501, 12111, 369, 444, 16, 5792, 1506, 451, 31607, 1667, 730, 617, 1419, 46168, 579, 1536, 81158, 11, 34171, 12557, 65266, 8837, 448, 264, 37236, 20668, 56204, 369, 11050, 25262, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 501, 12111, 369, 21828, 444, 16, 5792, 1506, 451, 31607, 5322, 304, 892, 279, 26345, 4647, 374, 279, 730, 617, 1419, 46168, 8629, 81158, 13, 576, 8282, 32411, 279, 11416, 12557, 65266, 8837, 448, 264, 37236, 56204, 315, 20668, 594, 1714, 369, 21828, 279, 730, 33539, 4682, 315, 279, 451, 31607, 25262, 3491, 13, 1096, 56204, 3059, 304, 264, 12557, 65266, 2647, 429, 374, 3716, 29054, 3100, 13, 8704, 279, 16538, 729, 2578, 5263, 1212, 279, 20668, 8837, 11, 279, 3150, 54625, 311, 24303, 12564, 2176, 12557, 65266, 323, 20668, 8837, 323, 5157, 279, 825, 429, 18644, 279, 7772, 36952, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 21685, 23450, 1506, 20668, 40325, 369, 444, 16, 28800, 1506, 451, 31607, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 501, 12111, 369, 444, 16, 5792, 1506, 451, 31607, 1667, 730, 617, 1419, 46168, 579, 1536, 81158, 11, 34171, 12557, 65266, 8837, 448, 264, 37236, 20668, 56204, 369, 11050, 25262, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 501, 12111, 369, 21828, 444, 16, 5792, 1506, 451, 31607, 5322, 304, 892, 279, 26345, 4647, 374, 279, 730, 617, 1419, 46168, 8629, 81158, 13, 576, 8282, 32411, 279, 11416, 12557, 65266, 8837, 448, 264, 37236, 56204, 315, 20668, 594, 1714, 369, 21828, 279, 730, 33539, 4682, 315, 279, 451, 31607, 25262, 3491, 13, 1096, 56204, 3059, 304, 264, 12557, 65266, 2647, 429, 374, 3716, 29054, 3100, 13, 8704, 279, 16538, 729, 2578, 5263, 1212, 279, 20668, 8837, 11, 279, 3150, 54625, 311, 24303, 12564, 2176, 12557, 65266, 323, 20668, 8837, 323, 5157, 279, 825, 429, 18644, 279, 7772, 36952, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 6172, 8168, 2022, 5413, 448, 8129, 4714, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 42465, 3807, 6172, 8168, 2022, 5413, 11, 21080, 389, 862, 6200, 19827, 323, 8129, 11513, 13, 576, 1887, 4522, 78376, 2163, 37563, 279, 5068, 315, 92733, 11, 15552, 11, 328, 4897, 35, 11, 323, 59786, 5413, 11, 448, 264, 3953, 24654, 389, 862, 12111, 292, 11799, 323, 14976, 9481, 382, 34764, 565, 10294, 8883, 198, 785, 3395, 42465, 3807, 6172, 8168, 2022, 5413, 25, 92733, 320, 1097, 508, 16, 22, 9719, 15552, 11, 328, 4897, 35, 320, 1097, 508, 16, 23, 9719, 323, 59786, 320, 77976, 65266, 8837, 568, 576, 5244, 374, 389, 862, 12111, 292, 19827, 323, 8129, 11513, 13, 328, 4897, 35, 7460, 16585, 17465, 323, 702, 4714, 448, 1181, 8129, 11, 7945, 304, 1555, 220, 16, 21, 315, 279, 17424, 2500, 2038, 13, 15552, 374, 26366, 438, 264, 3746, 48154, 11, 714, 279, 12313, 374, 27061, 553, 15473, 1707, 323, 7361, 11, 892, 68126, 973, 279, 16460, 315, 279, 5413, 6, 6200, 6708, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 4152, 311, 8129, 4714, 84205, 287, 279, 6200, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 6200, 4522, 323, 1181, 16460, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 6172, 8168, 2022, 5413, 448, 8129, 4714, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 42465, 3807, 6172, 8168, 2022, 5413, 11, 21080, 389, 862, 6200, 19827, 323, 8129, 11513, 13, 576, 1887, 4522, 78376, 2163, 37563, 279, 5068, 315, 92733, 11, 15552, 11, 328, 4897, 35, 11, 323, 59786, 5413, 11, 448, 264, 3953, 24654, 389, 862, 12111, 292, 11799, 323, 14976, 9481, 382, 34764, 565, 10294, 8883, 198, 785, 3395, 42465, 3807, 6172, 8168, 2022, 5413, 25, 92733, 320, 1097, 508, 16, 22, 9719, 15552, 11, 328, 4897, 35, 320, 1097, 508, 16, 23, 9719, 323, 59786, 320, 77976, 65266, 8837, 568, 576, 5244, 374, 389, 862, 12111, 292, 19827, 323, 8129, 11513, 13, 328, 4897, 35, 7460, 16585, 17465, 323, 702, 4714, 448, 1181, 8129, 11, 7945, 304, 1555, 220, 16, 21, 315, 279, 17424, 2500, 2038, 13, 15552, 374, 26366, 438, 264, 3746, 48154, 11, 714, 279, 12313, 374, 27061, 553, 15473, 1707, 323, 7361, 11, 892, 68126, 973, 279, 16460, 315, 279, 5413, 6, 6200, 6708, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 4152, 311, 8129, 4714, 84205, 287, 279, 6200, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 6200, 4522, 323, 1181, 16460, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 6172, 8168, 2022, 5413, 448, 8129, 4714, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 42465, 3807, 6172, 8168, 2022, 5413, 11, 21080, 389, 862, 6200, 19827, 323, 8129, 11513, 13, 576, 1887, 4522, 78376, 2163, 37563, 279, 5068, 315, 92733, 11, 15552, 11, 328, 4897, 35, 11, 323, 59786, 5413, 11, 448, 264, 3953, 24654, 389, 862, 12111, 292, 11799, 323, 14976, 9481, 382, 34764, 565, 10294, 8883, 198, 785, 3395, 42465, 3807, 6172, 8168, 2022, 5413, 25, 92733, 320, 1097, 508, 16, 22, 9719, 15552, 11, 328, 4897, 35, 320, 1097, 508, 16, 23, 9719, 323, 59786, 320, 77976, 65266, 8837, 568, 576, 5244, 374, 389, 862, 12111, 292, 19827, 323, 8129, 11513, 13, 328, 4897, 35, 7460, 16585, 17465, 323, 702, 4714, 448, 1181, 8129, 11, 7945, 304, 1555, 220, 16, 21, 315, 279, 17424, 2500, 2038, 13, 15552, 374, 26366, 438, 264, 3746, 48154, 11, 714, 279, 12313, 374, 27061, 553, 15473, 1707, 323, 7361, 11, 892, 68126, 973, 279, 16460, 315, 279, 5413, 6, 6200, 6708, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 4152, 311, 8129, 4714, 84205, 287, 279, 6200, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 6200, 4522, 323, 1181, 16460, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 6172, 8168, 2022, 5413, 448, 8129, 4714, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 42465, 3807, 6172, 8168, 2022, 5413, 11, 21080, 389, 862, 6200, 19827, 323, 8129, 11513, 13, 576, 1887, 4522, 78376, 2163, 37563, 279, 5068, 315, 92733, 11, 15552, 11, 328, 4897, 35, 11, 323, 59786, 5413, 11, 448, 264, 3953, 24654, 389, 862, 12111, 292, 11799, 323, 14976, 9481, 382, 34764, 565, 10294, 8883, 198, 785, 3395, 42465, 3807, 6172, 8168, 2022, 5413, 25, 92733, 320, 1097, 508, 16, 22, 9719, 15552, 11, 328, 4897, 35, 320, 1097, 508, 16, 23, 9719, 323, 59786, 320, 77976, 65266, 8837, 568, 576, 5244, 374, 389, 862, 12111, 292, 19827, 323, 8129, 11513, 13, 328, 4897, 35, 7460, 16585, 17465, 323, 702, 4714, 448, 1181, 8129, 11, 7945, 304, 1555, 220, 16, 21, 315, 279, 17424, 2500, 2038, 13, 15552, 374, 26366, 438, 264, 3746, 48154, 11, 714, 279, 12313, 374, 27061, 553, 15473, 1707, 323, 7361, 11, 892, 68126, 973, 279, 16460, 315, 279, 5413, 6, 6200, 6708, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 4152, 311, 8129, 4714, 84205, 287, 279, 6200, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 6200, 4522, 323, 1181, 16460, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 15552, 323, 92733, 369, 451, 31607, 55441, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 34334, 264, 12313, 1948, 15552, 323, 356, 65304, 41035, 3874, 1168, 320, 3706, 35, 8, 5413, 369, 11581, 60935, 11631, 37729, 2022, 320, 45, 31607, 701, 21080, 389, 55441, 7709, 323, 54480, 4628, 382, 34764, 565, 10294, 8883, 198, 785, 3395, 42465, 279, 10981, 15552, 1714, 448, 356, 65304, 41035, 3874, 1168, 320, 3706, 35, 8, 369, 11581, 60935, 11631, 37729, 2022, 320, 45, 31607, 568, 576, 12313, 374, 3118, 389, 55441, 7709, 323, 54480, 4628, 11, 1667, 264, 27268, 220, 16, 15, 15, 15, 87, 20, 15, 15, 4194, 6172, 315, 7077, 220, 16, 15, 13, 576, 3059, 13216, 429, 15552, 702, 29039, 55441, 7709, 311, 92733, 323, 374, 10596, 304, 8129, 11, 8818, 15552, 1660, 11537, 304, 97589, 323, 92733, 304, 356, 1027, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 15552, 323, 92733, 369, 451, 31607, 55441, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 34334, 264, 12313, 1948, 15552, 323, 356, 65304, 41035, 3874, 1168, 320, 3706, 35, 8, 5413, 369, 11581, 60935, 11631, 37729, 2022, 320, 45, 31607, 701, 21080, 389, 55441, 7709, 323, 54480, 4628, 382, 34764, 565, 10294, 8883, 198, 785, 3395, 42465, 279, 10981, 15552, 1714, 448, 356, 65304, 41035, 3874, 1168, 320, 3706, 35, 8, 369, 11581, 60935, 11631, 37729, 2022, 320, 45, 31607, 568, 576, 12313, 374, 3118, 389, 55441, 7709, 323, 54480, 4628, 11, 1667, 264, 27268, 220, 16, 15, 15, 15, 87, 20, 15, 15, 4194, 6172, 315, 7077, 220, 16, 15, 13, 576, 3059, 13216, 429, 15552, 702, 29039, 55441, 7709, 311, 92733, 323, 374, 10596, 304, 8129, 11, 8818, 15552, 1660, 11537, 304, 97589, 323, 92733, 304, 356, 1027, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 15552, 323, 92733, 369, 451, 31607, 55441, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 34334, 264, 12313, 1948, 15552, 323, 356, 65304, 41035, 3874, 1168, 320, 3706, 35, 8, 5413, 369, 11581, 60935, 11631, 37729, 2022, 320, 45, 31607, 701, 21080, 389, 55441, 7709, 323, 54480, 4628, 382, 34764, 565, 10294, 8883, 198, 785, 3395, 42465, 279, 10981, 15552, 1714, 448, 356, 65304, 41035, 3874, 1168, 320, 3706, 35, 8, 369, 11581, 60935, 11631, 37729, 2022, 320, 45, 31607, 568, 576, 12313, 374, 3118, 389, 55441, 7709, 323, 54480, 4628, 11, 1667, 264, 27268, 220, 16, 15, 15, 15, 87, 20, 15, 15, 4194, 6172, 315, 7077, 220, 16, 15, 13, 576, 3059, 13216, 429, 15552, 702, 29039, 55441, 7709, 311, 92733, 323, 374, 10596, 304, 8129, 11, 8818, 15552, 1660, 11537, 304, 97589, 323, 92733, 304, 356, 1027, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 15552, 323, 92733, 369, 451, 31607, 55441, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 34334, 264, 12313, 1948, 15552, 323, 356, 65304, 41035, 3874, 1168, 320, 3706, 35, 8, 5413, 369, 11581, 60935, 11631, 37729, 2022, 320, 45, 31607, 701, 21080, 389, 55441, 7709, 323, 54480, 4628, 382, 34764, 565, 10294, 8883, 198, 785, 3395, 42465, 279, 10981, 15552, 1714, 448, 356, 65304, 41035, 3874, 1168, 320, 3706, 35, 8, 369, 11581, 60935, 11631, 37729, 2022, 320, 45, 31607, 568, 576, 12313, 374, 3118, 389, 55441, 7709, 323, 54480, 4628, 11, 1667, 264, 27268, 220, 16, 15, 15, 15, 87, 20, 15, 15, 4194, 6172, 315, 7077, 220, 16, 15, 13, 576, 3059, 13216, 429, 15552, 702, 29039, 55441, 7709, 311, 92733, 323, 374, 10596, 304, 8129, 11, 8818, 15552, 1660, 11537, 304, 97589, 323, 92733, 304, 356, 1027, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 21685, 23450, 1506, 20668, 40325, 369, 451, 31607, 448, 59786, 4399, 15461, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 37236, 1506, 20668, 1714, 311, 42780, 279, 12557, 65266, 2647, 12111, 369, 451, 31607, 11, 22573, 77216, 14011, 5098, 1526, 264, 4399, 15461, 16953, 311, 59786, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 458, 2392, 44439, 320, 8579, 23450, 472, 74329, 8, 20668, 1714, 311, 4628, 705, 55441, 315, 279, 12557, 65266, 2647, 12111, 320, 59174, 8, 369, 451, 31607, 5322, 13, 3128, 354, 14011, 5098, 374, 19323, 553, 458, 2392, 44439, 4399, 15461, 16953, 311, 59786, 13, 15586, 287, 1948, 16902, 323, 20668, 2647, 320, 970, 53684, 374, 1850, 11, 2392, 44439, 8, 374, 458, 7040, 10555, 311, 803, 28824, 7586, 315, 1555, 2711, 382, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 4650, 11, 714, 36756, 26829, 12313, 323, 10219, 315, 19721, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 1887, 4522, 624, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 21685, 23450, 1506, 20668, 40325, 369, 451, 31607, 448, 59786, 4399, 15461, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 37236, 1506, 20668, 1714, 311, 42780, 279, 12557, 65266, 2647, 12111, 369, 451, 31607, 11, 22573, 77216, 14011, 5098, 1526, 264, 4399, 15461, 16953, 311, 59786, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 458, 2392, 44439, 320, 8579, 23450, 472, 74329, 8, 20668, 1714, 311, 4628, 705, 55441, 315, 279, 12557, 65266, 2647, 12111, 320, 59174, 8, 369, 451, 31607, 5322, 13, 3128, 354, 14011, 5098, 374, 19323, 553, 458, 2392, 44439, 4399, 15461, 16953, 311, 59786, 13, 15586, 287, 1948, 16902, 323, 20668, 2647, 320, 970, 53684, 374, 1850, 11, 2392, 44439, 8, 374, 458, 7040, 10555, 311, 803, 28824, 7586, 315, 1555, 2711, 382, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 4650, 11, 714, 36756, 26829, 12313, 323, 10219, 315, 19721, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 1887, 4522, 624, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 21685, 23450, 1506, 20668, 40325, 369, 451, 31607, 448, 59786, 4399, 15461, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 37236, 1506, 20668, 1714, 311, 42780, 279, 12557, 65266, 2647, 12111, 369, 451, 31607, 11, 22573, 77216, 14011, 5098, 1526, 264, 4399, 15461, 16953, 311, 59786, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 458, 2392, 44439, 320, 8579, 23450, 472, 74329, 8, 20668, 1714, 311, 4628, 705, 55441, 315, 279, 12557, 65266, 2647, 12111, 320, 59174, 8, 369, 451, 31607, 5322, 13, 3128, 354, 14011, 5098, 374, 19323, 553, 458, 2392, 44439, 4399, 15461, 16953, 311, 59786, 13, 15586, 287, 1948, 16902, 323, 20668, 2647, 320, 970, 53684, 374, 1850, 11, 2392, 44439, 8, 374, 458, 7040, 10555, 311, 803, 28824, 7586, 315, 1555, 2711, 382, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 4650, 11, 714, 36756, 26829, 12313, 323, 10219, 315, 19721, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 1887, 4522, 624, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 7767, 23450, 1506, 20668, 40325, 369, 11581, 42224, 11631, 37729, 2022, 271, 34764, 565, 13513, 8883, 198, 8121, 60935, 6172, 8168, 2022, 320, 45, 31607, 8, 702, 3635, 264, 5411, 5662, 6832, 5486, 311, 1657, 5322, 304, 1467, 11673, 11, 8806, 323, 2168, 8692, 11, 16905, 3419, 627, 28370, 323, 71479, 821, 6358, 311, 829, 264, 2421, 13, 758, 451, 31607, 11, 264, 6172, 315, 2477, 60935, 821, 374, 9848, 7145, 553, 279, 3347, 3795, 1180, 1985, 315, 1378, 35195, 448, 2477, 60935, 10695, 13, 758, 419, 5567, 11, 279, 56204, 4271, 374, 16878, 553, 279, 730, 617, 1419, 46168, 579, 1536, 81158, 1948, 279, 821, 323, 1181, 3347, 3795, 1180, 42638, 13, 576, 13885, 315, 279, 4285, 12557, 65266, 2647, 320, 59174, 8, 12111, 369, 24231, 279, 6172, 9363, 702, 19590, 311, 279, 2393, 315, 451, 31607, 13, 17715, 279, 18048, 315, 25185, 9027, 10596, 55441, 11, 59786, 8458, 5411, 4152, 311, 1181, 38975, 13, 758, 419, 5567, 11, 264, 37236, 1506, 20668, 12111, 320, 55320, 8, 374, 10981, 9027, 10596, 55441, 1393, 279, 8129, 8458, 4285, 323, 14452, 369, 1550, 3795, 1180, 5322, 382, 34764, 565, 13513, 55695, 198, 677, 8579, 23450, 1506, 501, 777, 12111, 6, 364, 19638, 69, 6, 364, 6280, 42224, 6172, 8168, 2022, 1248, 364, 691, 6, 364, 443, 80748, 6, 364, 18110, 8168, 2022, 6, 364, 43248, 5662, 1248, 364, 34576, 5322, 6, 364, 1318, 11673, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 21685, 23450, 1506, 20668, 40325, 369, 451, 31607, 448, 59786, 4399, 15461, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 37236, 1506, 20668, 1714, 311, 42780, 279, 12557, 65266, 2647, 12111, 369, 451, 31607, 11, 22573, 77216, 14011, 5098, 1526, 264, 4399, 15461, 16953, 311, 59786, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 458, 2392, 44439, 320, 8579, 23450, 472, 74329, 8, 20668, 1714, 311, 4628, 705, 55441, 315, 279, 12557, 65266, 2647, 12111, 320, 59174, 8, 369, 451, 31607, 5322, 13, 3128, 354, 14011, 5098, 374, 19323, 553, 458, 2392, 44439, 4399, 15461, 16953, 311, 59786, 13, 15586, 287, 1948, 16902, 323, 20668, 2647, 320, 970, 53684, 374, 1850, 11, 2392, 44439, 8, 374, 458, 7040, 10555, 311, 803, 28824, 7586, 315, 1555, 2711, 382, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 4650, 11, 714, 36756, 26829, 12313, 323, 10219, 315, 19721, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 1887, 4522, 624, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 17999, 63530, 6832, 448, 5312, 25120, 8317, 369, 63133, 6846, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 7168, 63530, 6832, 5486, 369, 2168, 23850, 11, 76482, 264, 10284, 2168, 25514, 13042, 3550, 323, 855, 68924, 3409, 70547, 311, 48129, 63133, 11059, 13, 1084, 38919, 264, 1714, 311, 3705, 2176, 3884, 323, 63133, 6846, 553, 26625, 63133, 6846, 438, 86663, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 7168, 63530, 6832, 5486, 311, 2168, 23850, 13, 576, 1614, 1156, 16297, 311, 11140, 3425, 458, 2168, 5610, 458, 1633, 504, 264, 773, 2220, 277, 63133, 5582, 13, 1416, 537, 11, 279, 1614, 33644, 389, 264, 5792, 11, 1584, 8668, 10603, 37821, 58989, 33365, 311, 9793, 279, 2168, 311, 3881, 6846, 13, 18214, 11, 432, 13553, 311, 10542, 1128, 419, 1633, 374, 11, 3118, 389, 264, 12313, 1948, 279, 2168, 323, 1817, 63133, 536, 11, 304, 264, 9498, 10284, 2168, 25514, 13042, 3550, 13, 576, 1714, 33644, 389, 855, 68924, 3409, 43613, 11, 27432, 504, 650, 1502, 832, 1467, 11, 311, 4009, 279, 6846, 13, 1096, 5567, 5780, 7797, 279, 1482, 975, 389, 7168, 63530, 6832, 304, 220, 17, 5510, 13, 5512, 11, 432, 4933, 429, 1602, 1661, 23850, 315, 3654, 13530, 315, 63133, 6846, 646, 387, 16994, 3118, 389, 9498, 320, 300, 16087, 311, 1424, 68856, 8, 43613, 369, 1493, 6846, 13, 576, 2086, 18527, 374, 304, 264, 1714, 369, 14550, 448, 3884, 323, 63133, 6846, 11, 3118, 389, 279, 4522, 429, 63133, 6846, 525, 86663, 382, 34764, 565, 10294, 19216, 198, 8936, 745, 3403, 12171, 11, 14977, 1156, 3019, 714, 3059, 525, 537, 3746, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 17999, 30261, 354, 20909, 16904, 11261, 12, 8080, 23200, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 38919, 264, 1614, 429, 646, 15282, 6171, 304, 5335, 1496, 421, 902, 4862, 821, 374, 2500, 369, 279, 6171, 13, 576, 1172, 5871, 6540, 911, 279, 63133, 11059, 4041, 504, 6975, 454, 77990, 3460, 1467, 8368, 64, 13, 758, 1039, 7168, 63530, 12626, 7982, 278, 1995, 304, 4128, 646, 387, 3884, 438, 55786, 264, 41733, 8037, 369, 8660, 1128, 6171, 1401, 1075, 13, 7496, 3681, 7168, 63530, 6832, 4119, 646, 1172, 53163, 1948, 63133, 6846, 13, 758, 12872, 11, 1039, 1614, 646, 2176, 6851, 1584, 315, 279, 1947, 5068, 389, 6846, 429, 614, 9037, 315, 4862, 5335, 323, 6851, 13276, 5068, 389, 63133, 6846, 13, 1096, 374, 16994, 553, 1156, 1667, 88160, 17984, 304, 279, 41733, 3550, 323, 1221, 1378, 8651, 17843, 4119, 13, 23405, 11, 1039, 1614, 1558, 537, 1373, 894, 20083, 4512, 41733, 4419, 369, 2987, 4244, 476, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 24188, 6, 364, 19210, 6, 364, 3642, 6, 364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 17999, 63530, 6832, 448, 5312, 25120, 8317, 369, 63133, 6846, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 7168, 63530, 6832, 5486, 369, 2168, 23850, 11, 76482, 264, 10284, 2168, 25514, 13042, 3550, 323, 855, 68924, 3409, 70547, 311, 48129, 63133, 11059, 13, 1084, 38919, 264, 1714, 311, 3705, 2176, 3884, 323, 63133, 6846, 553, 26625, 63133, 6846, 438, 86663, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 7168, 63530, 6832, 5486, 311, 2168, 23850, 13, 576, 1614, 1156, 16297, 311, 11140, 3425, 458, 2168, 5610, 458, 1633, 504, 264, 773, 2220, 277, 63133, 5582, 13, 1416, 537, 11, 279, 1614, 33644, 389, 264, 5792, 11, 1584, 8668, 10603, 37821, 58989, 33365, 311, 9793, 279, 2168, 311, 3881, 6846, 13, 18214, 11, 432, 13553, 311, 10542, 1128, 419, 1633, 374, 11, 3118, 389, 264, 12313, 1948, 279, 2168, 323, 1817, 63133, 536, 11, 304, 264, 9498, 10284, 2168, 25514, 13042, 3550, 13, 576, 1714, 33644, 389, 855, 68924, 3409, 43613, 11, 27432, 504, 650, 1502, 832, 1467, 11, 311, 4009, 279, 6846, 13, 1096, 5567, 5780, 7797, 279, 1482, 975, 389, 7168, 63530, 6832, 304, 220, 17, 5510, 13, 5512, 11, 432, 4933, 429, 1602, 1661, 23850, 315, 3654, 13530, 315, 63133, 6846, 646, 387, 16994, 3118, 389, 9498, 320, 300, 16087, 311, 1424, 68856, 8, 43613, 369, 1493, 6846, 13, 576, 2086, 18527, 374, 304, 264, 1714, 369, 14550, 448, 3884, 323, 63133, 6846, 11, 3118, 389, 279, 4522, 429, 63133, 6846, 525, 86663, 382, 34764, 565, 10294, 19216, 198, 8936, 745, 3403, 12171, 11, 14977, 1156, 3019, 714, 3059, 525, 537, 3746, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 17999, 30261, 354, 20909, 16904, 11261, 12, 8080, 23200, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 38919, 264, 1614, 429, 646, 15282, 6171, 304, 5335, 1496, 421, 902, 4862, 821, 374, 2500, 369, 279, 6171, 13, 576, 1172, 5871, 6540, 911, 279, 63133, 11059, 4041, 504, 6975, 454, 77990, 3460, 1467, 8368, 64, 13, 758, 1039, 7168, 63530, 12626, 7982, 278, 1995, 304, 4128, 646, 387, 3884, 438, 55786, 264, 41733, 8037, 369, 8660, 1128, 6171, 1401, 1075, 13, 7496, 3681, 7168, 63530, 6832, 4119, 646, 1172, 53163, 1948, 63133, 6846, 13, 758, 12872, 11, 1039, 1614, 646, 2176, 6851, 1584, 315, 279, 1947, 5068, 389, 6846, 429, 614, 9037, 315, 4862, 5335, 323, 6851, 13276, 5068, 389, 63133, 6846, 13, 1096, 374, 16994, 553, 1156, 1667, 88160, 17984, 304, 279, 41733, 3550, 323, 1221, 1378, 8651, 17843, 4119, 13, 23405, 11, 1039, 1614, 1558, 537, 1373, 894, 20083, 4512, 41733, 4419, 369, 2987, 4244, 476, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 24188, 6, 364, 19210, 6, 364, 3642, 6, 364 ]
[ 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
[ 359, 28312, 6846, 6, 364, 1778, 1248, 364, 30654, 821, 6, 364, 10334, 6, 364, 94217, 6540, 6, 364, 359, 28312, 11059, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 359, 28312, 6846, 6, 364, 1778, 1248, 364, 30654, 821, 6, 364, 10334, 6, 364, 94217, 6540, 6, 364, 359, 28312, 11059, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 17999, 30261, 354, 20909, 16904, 11261, 12, 8080, 23200, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 38919, 264, 1614, 429, 646, 15282, 6171, 304, 5335, 1496, 421, 902, 4862, 821, 374, 2500, 369, 279, 6171, 13, 576, 1172, 5871, 6540, 911, 279, 63133, 11059, 4041, 504, 6975, 454, 77990, 3460, 1467, 8368, 64, 13, 758, 1039, 7168, 63530, 12626, 7982, 278, 1995, 304, 4128, 646, 387, 3884, 438, 55786, 264, 41733, 8037, 369, 8660, 1128, 6171, 1401, 1075, 13, 7496, 3681, 7168, 63530, 6832, 4119, 646, 1172, 53163, 1948, 63133, 6846, 13, 758, 12872, 11, 1039, 1614, 646, 2176, 6851, 1584, 315, 279, 1947, 5068, 389, 6846, 429, 614, 9037, 315, 4862, 5335, 323, 6851, 13276, 5068, 389, 63133, 6846, 13, 1096, 374, 16994, 553, 1156, 1667, 88160, 17984, 304, 279, 41733, 3550, 323, 1221, 1378, 8651, 17843, 4119, 13, 23405, 11, 1039, 1614, 1558, 537, 1373, 894, 20083, 4512, 41733, 4419, 369, 2987, 4244, 476, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 24188, 6, 364, 19210, 6, 364, 3642, 6, 364, 359, 28312, 6846, 6, 364, 1778, 1248, 364, 30654, 821, 6, 364, 10334, 6, 364, 94217, 6540, 6, 364, 359, 28312, 11059, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 17999, 63530, 6832, 448, 5312, 25120, 8317, 369, 63133, 6846, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 7168, 63530, 6832, 5486, 369, 2168, 23850, 11, 76482, 264, 10284, 2168, 25514, 13042, 3550, 323, 855, 68924, 3409, 70547, 311, 48129, 63133, 11059, 13, 1084, 38919, 264, 1714, 311, 3705, 2176, 3884, 323, 63133, 6846, 553, 26625, 63133, 6846, 438, 86663, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 7168, 63530, 6832, 5486, 311, 2168, 23850, 13, 576, 1614, 1156, 16297, 311, 11140, 3425, 458, 2168, 5610, 458, 1633, 504, 264, 773, 2220, 277, 63133, 5582, 13, 1416, 537, 11, 279, 1614, 33644, 389, 264, 5792, 11, 1584, 8668, 10603, 37821, 58989, 33365, 311, 9793, 279, 2168, 311, 3881, 6846, 13, 18214, 11, 432, 13553, 311, 10542, 1128, 419, 1633, 374, 11, 3118, 389, 264, 12313, 1948, 279, 2168, 323, 1817, 63133, 536, 11, 304, 264, 9498, 10284, 2168, 25514, 13042, 3550, 13, 576, 1714, 33644, 389, 855, 68924, 3409, 43613, 11, 27432, 504, 650, 1502, 832, 1467, 11, 311, 4009, 279, 6846, 13, 1096, 5567, 5780, 7797, 279, 1482, 975, 389, 7168, 63530, 6832, 304, 220, 17, 5510, 13, 5512, 11, 432, 4933, 429, 1602, 1661, 23850, 315, 3654, 13530, 315, 63133, 6846, 646, 387, 16994, 3118, 389, 9498, 320, 300, 16087, 311, 1424, 68856, 8, 43613, 369, 1493, 6846, 13, 576, 2086, 18527, 374, 304, 264, 1714, 369, 14550, 448, 3884, 323, 63133, 6846, 11, 3118, 389, 279, 4522, 429, 63133, 6846, 525, 86663, 382, 34764, 565, 10294, 19216, 198, 8936, 745, 3403, 12171, 11, 14977, 1156, 3019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 17999, 30261, 354, 20909, 16904, 11261, 12, 8080, 23200, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 38919, 264, 1614, 429, 646, 15282, 6171, 304, 5335, 1496, 421, 902, 4862, 821, 374, 2500, 369, 279, 6171, 13, 576, 1172, 5871, 6540, 911, 279, 63133, 11059, 4041, 504, 6975, 454, 77990, 3460, 1467, 8368, 64, 13, 758, 1039, 7168, 63530, 12626, 7982, 278, 1995, 304, 4128, 646, 387, 3884, 438, 55786, 264, 41733, 8037, 369, 8660, 1128, 6171, 1401, 1075, 13, 7496, 3681, 7168, 63530, 6832, 4119, 646, 1172, 53163, 1948, 63133, 6846, 13, 758, 12872, 11, 1039, 1614, 646, 2176, 6851, 1584, 315, 279, 1947, 5068, 389, 6846, 429, 614, 9037, 315, 4862, 5335, 323, 6851, 13276, 5068, 389, 63133, 6846, 13, 1096, 374, 16994, 553, 1156, 1667, 88160, 17984, 304, 279, 41733, 3550, 323, 1221, 1378, 8651, 17843, 4119, 13, 23405, 11, 1039, 1614, 1558, 537, 1373, 894, 20083, 4512, 41733, 4419, 369, 2987, 4244, 476, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 24188, 6, 364, 19210, 6, 364, 3642, 6, 364, 359, 28312, 6846, 6, 364, 1778, 1248, 364, 30654, 821, 6, 364, 10334, 6, 364, 94217, 6540, 6, 364, 359, 28312, 11059, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 17999, 63530, 6832, 448, 5312, 25120, 8317, 369, 63133, 6846, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 7168, 63530, 6832, 5486, 369, 2168, 23850, 11, 76482, 264, 10284, 2168, 25514, 13042, 3550, 323, 855, 68924, 3409, 70547, 311, 48129, 63133, 11059, 13, 1084, 38919, 264, 1714, 311, 3705, 2176, 3884, 323, 63133, 6846, 553, 26625, 63133, 6846, 438, 86663, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 7168, 63530, 6832, 5486, 311, 2168, 23850, 13, 576, 1614, 1156, 16297, 311, 11140, 3425, 458, 2168, 5610, 458, 1633, 504, 264, 773, 2220, 277, 63133, 5582, 13, 1416, 537, 11, 279, 1614, 33644, 389, 264, 5792, 11, 1584, 8668, 10603, 37821, 58989, 33365, 311, 9793, 279, 2168, 311, 3881, 6846, 13, 18214, 11, 432, 13553, 311, 10542, 1128, 419, 1633, 374, 11, 3118, 389, 264, 12313, 1948, 279, 2168, 323, 1817, 63133, 536, 11, 304, 264, 9498, 10284, 2168, 25514, 13042, 3550, 13, 576, 1714, 33644, 389, 855, 68924, 3409, 43613, 11, 27432, 504, 650, 1502, 832, 1467, 11, 311, 4009, 279, 6846, 13, 1096, 5567, 5780, 7797, 279, 1482, 975, 389, 7168, 63530, 6832, 304, 220, 17, 5510, 13, 5512, 11, 432, 4933, 429, 1602, 1661, 23850, 315, 3654, 13530, 315, 63133, 6846, 646, 387, 16994, 3118, 389, 9498, 320, 300, 16087, 311, 1424, 68856, 8, 43613, 369, 1493, 6846, 13, 576, 2086, 18527, 374, 304, 264, 1714, 369, 14550, 448, 3884, 323, 63133, 6846, 11, 3118, 389, 279, 4522, 429, 63133, 6846, 525, 86663, 382, 34764, 565, 10294, 19216, 198, 8936, 745, 3403, 12171, 11, 14977, 1156, 3019 ]
[ 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
[ 714, 3059, 525, 537, 3746, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 714, 3059, 525, 537, 3746, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 17999, 63530, 6832, 4566, 10284, 39088, 323, 48568, 20980, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 12626, 369, 7168, 63530, 6832, 553, 12731, 5335, 323, 6846, 1119, 264, 10284, 39088, 3550, 323, 1667, 264, 20980, 315, 93216, 5380, 311, 16045, 279, 18927, 315, 458, 2168, 32052, 311, 458, 9788, 536, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 12626, 311, 3960, 311, 48129, 5335, 429, 646, 2525, 2987, 504, 3881, 476, 9788, 6846, 13, 1096, 374, 2814, 553, 1156, 12731, 2176, 5335, 323, 6846, 1119, 264, 10284, 39088, 3550, 13, 23405, 11, 279, 18927, 315, 458, 2168, 1660, 315, 458, 9788, 536, 374, 12943, 1667, 264, 20980, 315, 93216, 5380, 13, 576, 10981, 5486, 311, 16045, 279, 18927, 429, 458, 2168, 374, 315, 264, 3881, 536, 476, 537, 374, 3118, 389, 264, 20980, 315, 93216, 5380, 11, 1380, 825, 48568, 374, 12943, 369, 1817, 3881, 536, 1380, 279, 3076, 374, 279, 39088, 4621, 315, 279, 536, 323, 279, 5297, 37564, 374, 12943, 389, 279, 4862, 10469, 315, 429, 536, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 17999, 30261, 354, 20909, 16904, 11261, 12, 8080, 23200, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 38919, 264, 1614, 429, 646, 15282, 6171, 304, 5335, 1496, 421, 902, 4862, 821, 374, 2500, 369, 279, 6171, 13, 576, 1172, 5871, 6540, 911, 279, 63133, 11059, 4041, 504, 6975, 454, 77990, 3460, 1467, 8368, 64, 13, 758, 1039, 7168, 63530, 12626, 7982, 278, 1995, 304, 4128, 646, 387, 3884, 438, 55786, 264, 41733, 8037, 369, 8660, 1128, 6171, 1401, 1075, 13, 7496, 3681, 7168, 63530, 6832, 4119, 646, 1172, 53163, 1948, 63133, 6846, 13, 758, 12872, 11, 1039, 1614, 646, 2176, 6851, 1584, 315, 279, 1947, 5068, 389, 6846, 429, 614, 9037, 315, 4862, 5335, 323, 6851, 13276, 5068, 389, 63133, 6846, 13, 1096, 374, 16994, 553, 1156, 1667, 88160, 17984, 304, 279, 41733, 3550, 323, 1221, 1378, 8651, 17843, 4119, 13, 23405, 11, 1039, 1614, 1558, 537, 1373, 894, 20083, 4512, 41733, 4419, 369, 2987, 4244, 476, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 24188, 6, 364, 19210, 6, 364, 3642, 6, 364, 359, 28312, 6846, 6, 364, 1778, 1248, 364, 30654, 821, 6, 364, 10334, 6, 364, 94217, 6540, 6, 364, 359, 28312, 11059, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 17999, 63530, 6832, 4566, 10284, 39088, 323, 48568, 20980, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 12626, 369, 7168, 63530, 6832, 553, 12731, 5335, 323, 6846, 1119, 264, 10284, 39088, 3550, 323, 1667, 264, 20980, 315, 93216, 5380, 311, 16045, 279, 18927, 315, 458, 2168, 32052, 311, 458, 9788, 536, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 12626, 311, 3960, 311, 48129, 5335, 429, 646, 2525, 2987, 504, 3881, 476, 9788, 6846, 13, 1096, 374, 2814, 553, 1156, 12731, 2176, 5335, 323, 6846, 1119, 264, 10284, 39088, 3550, 13, 23405, 11, 279, 18927, 315, 458, 2168, 1660, 315, 458, 9788, 536, 374, 12943, 1667, 264, 20980, 315, 93216, 5380, 13, 576, 10981, 5486, 311, 16045, 279, 18927, 429, 458, 2168, 374, 315, 264, 3881, 536, 476, 537, 374, 3118, 389, 264, 20980, 315, 93216, 5380, 11, 1380, 825, 48568, 374, 12943, 369, 1817, 3881, 536, 1380, 279, 3076, 374, 279, 39088, 4621, 315, 279, 536, 323, 279, 5297, 37564, 374, 12943, 389, 279, 4862, 10469, 315, 429, 536, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 17999, 30261, 354, 20909, 16904, 11261, 12, 8080, 23200, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 38919, 264, 1614, 429, 646, 15282, 6171, 304, 5335, 1496, 421, 902, 4862, 821, 374, 2500, 369, 279, 6171, 13, 576, 1172, 5871, 6540, 911, 279, 63133, 11059, 4041, 504, 6975, 454, 77990, 3460, 1467, 8368, 64, 13, 758, 1039, 7168, 63530, 12626, 7982, 278, 1995, 304, 4128, 646, 387, 3884, 438, 55786, 264, 41733, 8037, 369, 8660, 1128, 6171, 1401, 1075, 13, 7496, 3681, 7168, 63530, 6832, 4119, 646, 1172, 53163, 1948, 63133, 6846, 13, 758, 12872, 11, 1039, 1614, 646, 2176, 6851, 1584, 315, 279, 1947, 5068, 389, 6846, 429, 614, 9037, 315, 4862, 5335, 323, 6851, 13276, 5068, 389, 63133, 6846, 13, 1096, 374, 16994, 553, 1156, 1667, 88160, 17984, 304, 279, 41733, 3550, 323, 1221, 1378, 8651, 17843, 4119, 13, 23405, 11, 1039, 1614, 1558, 537, 1373, 894, 20083, 4512, 41733, 4419, 369, 2987, 4244, 476, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 24188, 6, 364, 19210, 6, 364, 3642, 6, 364, 359, 28312, 6846, 6, 364, 1778, 1248, 364, 30654, 821, 6, 364, 10334, 6, 364, 94217, 6540, 6, 364, 359, 28312, 11059, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 17999, 30261, 354, 20909, 16904, 11261, 12, 8080, 23200, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 38919, 264, 1614, 429, 646, 15282, 6171, 304, 5335, 1496, 421, 902, 4862, 821, 374, 2500, 369, 279, 6171, 13, 576, 1172, 5871, 6540, 911, 279, 63133, 11059, 4041, 504, 6975, 454, 77990, 3460, 1467, 8368, 64, 13, 758, 1039, 7168, 63530, 12626, 7982, 278, 1995, 304, 4128, 646, 387, 3884, 438, 55786, 264, 41733, 8037, 369, 8660, 1128, 6171, 1401, 1075, 13, 7496, 3681, 7168, 63530, 6832, 4119, 646, 1172, 53163, 1948, 63133, 6846, 13, 758, 12872, 11, 1039, 1614, 646, 2176, 6851, 1584, 315, 279, 1947, 5068, 389, 6846, 429, 614, 9037, 315, 4862, 5335, 323, 6851, 13276, 5068, 389, 63133, 6846, 13, 1096, 374, 16994, 553, 1156, 1667, 88160, 17984, 304, 279, 41733, 3550, 323, 1221, 1378, 8651, 17843, 4119, 13, 23405, 11, 1039, 1614, 1558, 537, 1373, 894, 20083, 4512, 41733, 4419, 369, 2987, 4244, 476, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 24188, 6, 364, 19210, 6, 364, 3642, 6, 364, 359, 28312, 6846, 6, 364, 1778, 1248, 364, 30654, 821, 6, 364, 10334, 6, 364, 94217, 6540, 6, 364, 359, 28312, 11059, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 17999, 63530, 6832, 4566, 10284, 39088, 323, 48568, 20980, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 12626, 369, 7168, 63530, 6832, 553, 12731, 5335, 323, 6846, 1119, 264, 10284, 39088, 3550, 323, 1667, 264, 20980, 315, 93216, 5380, 311, 16045, 279, 18927, 315, 458, 2168, 32052, 311, 458, 9788, 536, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 12626, 311, 3960, 311, 48129, 5335, 429, 646, 2525, 2987, 504, 3881, 476, 9788, 6846, 13, 1096, 374, 2814, 553, 1156, 12731, 2176, 5335, 323, 6846, 1119, 264, 10284, 39088, 3550, 13, 23405, 11, 279, 18927, 315, 458, 2168, 1660, 315, 458, 9788, 536, 374, 12943, 1667, 264, 20980, 315, 93216, 5380, 13, 576, 10981, 5486, 311, 16045, 279, 18927, 429, 458, 2168, 374, 315, 264, 3881, 536, 476, 537, 374, 3118, 389, 264, 20980, 315, 93216, 5380, 11, 1380, 825, 48568, 374, 12943, 369, 1817, 3881, 536, 1380, 279, 3076, 374, 279, 39088, 4621, 315, 279, 536, 323, 279, 5297, 37564, 374, 12943, 389, 279, 4862, 10469, 315, 429, 536, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 17999, 30261, 354, 20909, 16904, 11261, 12, 8080, 23200, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 38919, 264, 1614, 429, 646, 15282, 6171, 304, 5335, 1496, 421, 902, 4862, 821, 374, 2500, 369, 279, 6171, 13, 576, 1172, 5871, 6540, 911, 279, 63133, 11059, 4041, 504, 6975, 454, 77990, 3460, 1467, 8368, 64, 13, 758, 1039, 7168, 63530, 12626, 7982, 278, 1995, 304, 4128, 646, 387, 3884, 438, 55786, 264, 41733, 8037, 369, 8660, 1128, 6171, 1401, 1075, 13, 7496, 3681, 7168, 63530, 6832, 4119, 646, 1172, 53163, 1948, 63133, 6846, 13, 758, 12872, 11, 1039, 1614, 646, 2176, 6851, 1584, 315, 279, 1947, 5068, 389, 6846, 429, 614, 9037, 315, 4862, 5335, 323, 6851, 13276, 5068, 389, 63133, 6846, 13, 1096, 374, 16994, 553, 1156, 1667, 88160, 17984, 304, 279, 41733, 3550, 323, 1221, 1378, 8651, 17843, 4119, 13, 23405, 11, 1039, 1614, 1558, 537, 1373, 894, 20083, 4512, 41733, 4419, 369, 2987, 4244, 476, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 24188, 6, 364, 19210, 6, 364, 3642, 6, 364, 359, 28312, 6846, 6, 364, 1778, 1248, 364, 30654, 821, 6, 364, 10334, 6, 364, 94217, 6540, 6, 364, 359, 28312, 11059, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 17999, 63530, 6832, 4566, 10284, 39088, 323, 48568, 20980, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 12626, 369, 7168, 63530, 6832, 553, 12731, 5335, 323, 6846, 1119, 264, 10284, 39088, 3550, 323, 1667, 264, 20980, 315, 93216, 5380, 311, 16045, 279, 18927, 315, 458, 2168, 32052, 311, 458, 9788, 536, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 12626, 311, 3960, 311, 48129, 5335, 429, 646, 2525, 2987, 504, 3881, 476, 9788, 6846, 13, 1096, 374, 2814, 553, 1156, 12731, 2176, 5335, 323, 6846, 1119, 264, 10284, 39088, 3550, 13, 23405, 11, 279, 18927, 315, 458, 2168, 1660, 315, 458, 9788, 536, 374, 12943, 1667, 264, 20980, 315, 93216, 5380, 13, 576, 10981, 5486, 311, 16045, 279, 18927, 429, 458, 2168, 374, 315, 264, 3881, 536, 476, 537, 374, 3118, 389, 264, 20980, 315, 93216, 5380, 11, 1380, 825, 48568, 374, 12943, 369, 1817, 3881, 536, 1380, 279, 3076, 374, 279, 39088, 4621, 315, 279, 536, 323, 279, 5297, 37564, 374, 12943, 389, 279, 4862, 10469, 315, 429, 536, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8033, 385, 416, 44378, 304, 949, 54756, 4119, 448, 54480, 6358, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1614, 34171, 4937, 11, 44868, 44378, 518, 279, 1909, 2188, 448, 28393, 11, 4734, 44378, 518, 4722, 5866, 11, 323, 85181, 1181, 54480, 23094, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 40324, 1246, 44378, 646, 387, 2814, 304, 264, 949, 54756, 1614, 323, 279, 54480, 2783, 315, 3730, 773, 13, 1084, 33644, 389, 364, 11748, 6704, 68922, 6, 1380, 1817, 6193, 1172, 9982, 44868, 1995, 911, 279, 6193, 3685, 13, 576, 12014, 1083, 3920, 279, 54480, 23094, 315, 419, 44378, 304, 5257, 5003, 13, 576, 1614, 32411, 4937, 323, 44868, 44378, 320, 48053, 3426, 304, 279, 5530, 429, 279, 3644, 4008, 315, 279, 6109, 36756, 3565, 8, 448, 264, 28393, 323, 4734, 44378, 320, 258, 279, 5530, 429, 432, 6147, 4734, 44378, 315, 279, 5479, 315, 279, 1614, 3593, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 18879, 10601, 315, 44378, 19827, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 8660, 315, 279, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8033, 385, 416, 44378, 304, 949, 54756, 4119, 448, 54480, 6358, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1614, 34171, 4937, 11, 44868, 44378, 518, 279, 1909, 2188, 448, 28393, 11, 4734, 44378, 518, 4722, 5866, 11, 323, 85181, 1181, 54480, 23094, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 40324, 1246, 44378, 646, 387, 2814, 304, 264, 949, 54756, 1614, 323, 279, 54480, 2783, 315, 3730, 773, 13, 1084, 33644, 389, 364, 11748, 6704, 68922, 6, 1380, 1817, 6193, 1172, 9982, 44868, 1995, 911, 279, 6193, 3685, 13, 576, 12014, 1083, 3920, 279, 54480, 23094, 315, 419, 44378, 304, 5257, 5003, 13, 576, 1614, 32411, 4937, 323, 44868, 44378, 320, 48053, 3426, 304, 279, 5530, 429, 279, 3644, 4008, 315, 279, 6109, 36756, 3565, 8, 448, 264, 28393, 323, 4734, 44378, 320, 258, 279, 5530, 429, 432, 6147, 4734, 44378, 315, 279, 5479, 315, 279, 1614, 3593, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 18879, 10601, 315, 44378, 19827, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 8660, 315, 279, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6 ]
[ 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
[ 364, 46103, 18495, 6, 364, 3294, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 364, 46103, 18495, 6, 364, 3294, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 ]
13
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8033, 385, 416, 44378, 304, 949, 54756, 4119, 448, 54480, 6358, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1614, 34171, 4937, 11, 44868, 44378, 518, 279, 1909, 2188, 448, 28393, 11, 4734, 44378, 518, 4722, 5866, 11, 323, 85181, 1181, 54480, 23094, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 40324, 1246, 44378, 646, 387, 2814, 304, 264, 949, 54756, 1614, 323, 279, 54480, 2783, 315, 3730, 773, 13, 1084, 33644, 389, 364, 11748, 6704, 68922, 6, 1380, 1817, 6193, 1172, 9982, 44868, 1995, 911, 279, 6193, 3685, 13, 576, 12014, 1083, 3920, 279, 54480, 23094, 315, 419, 44378, 304, 5257, 5003, 13, 576, 1614, 32411, 4937, 323, 44868, 44378, 320, 48053, 3426, 304, 279, 5530, 429, 279, 3644, 4008, 315, 279, 6109, 36756, 3565, 8, 448, 264, 28393, 323, 4734, 44378, 320, 258, 279, 5530, 429, 432, 6147, 4734, 44378, 315, 279, 5479, 315, 279, 1614, 3593, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 18879, 10601, 315, 44378, 19827, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 8033, 385, 416, 44378, 304, 949, 54756, 4119, 448, 54480, 6358, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1614, 34171, 4937, 11, 44868, 44378, 518, 279, 1909, 2188, 448, 28393, 11, 4734, 44378, 518, 4722, 5866, 11, 323, 85181, 1181, 54480, 23094, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 40324, 1246, 44378, 646, 387, 2814, 304, 264, 949, 54756, 1614, 323, 279, 54480, 2783, 315, 3730, 773, 13, 1084, 33644, 389, 364, 11748, 6704, 68922, 6, 1380, 1817, 6193, 1172, 9982, 44868, 1995, 911, 279, 6193, 3685, 13, 576, 12014, 1083, 3920, 279, 54480, 23094, 315, 419, 44378, 304, 5257, 5003, 13, 576, 1614, 32411, 4937, 323, 44868, 44378, 320, 48053, 3426, 304, 279, 5530, 429, 279, 3644, 4008, 315, 279, 6109, 36756, 3565, 8, 448, 264, 28393, 323, 4734, 44378, 320, 258, 279, 5530, 429, 432, 6147, 4734, 44378, 315, 279, 5479, 315, 279, 1614, 3593, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 18879, 10601, 315, 44378, 19827, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847 ]
[ 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
[ 8660, 315, 279, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8660, 315, 279, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 ]
12
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2753, 66649, 3395, 2213, 3897, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 1558, 537, 6644, 894, 66649, 2213, 911, 279, 5567, 594, 1887, 4522, 476, 37052, 382, 34764, 565, 10294, 8883, 1406, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2753, 66649, 3395, 2213, 3897, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 1558, 537, 6644, 894, 66649, 2213, 911, 279, 5567, 594, 1887, 4522, 476, 37052, 382, 34764, 565, 10294, 8883, 1406, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2753, 66649, 3395, 2213, 3897, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 1558, 537, 6644, 894, 66649, 2213, 911, 279, 5567, 594, 1887, 4522, 476, 37052, 382, 34764, 565, 10294, 8883, 1406, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2753, 66649, 3395, 2213, 3897, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 1558, 537, 6644, 894, 66649, 2213, 911, 279, 5567, 594, 1887, 4522, 476, 37052, 382, 34764, 565, 10294, 8883, 1406, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 31137, 487, 6358, 315, 44378, 304, 39221, 3005, 949, 54756, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 23094, 315, 44378, 25185, 369, 39221, 3005, 4119, 429, 32064, 949, 11560, 11, 21080, 389, 1633, 17984, 323, 2309, 44378, 1667, 8741, 15473, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 23094, 6358, 315, 3654, 44378, 25185, 369, 39221, 3005, 4119, 315, 5335, 3118, 389, 949, 11560, 13, 576, 56251, 4815, 1493, 4119, 374, 429, 6171, 525, 23415, 315, 5479, 323, 429, 1817, 315, 1493, 5479, 646, 4994, 304, 1657, 2155, 6171, 13, 576, 12014, 4263, 458, 5486, 369, 1633, 17984, 323, 1633, 33524, 44378, 70601, 949, 11560, 323, 8741, 15473, 11, 323, 15442, 1181, 6146, 323, 15279, 23094, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 11, 6437, 18527, 448, 7040, 31787, 3059, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 31137, 487, 6358, 315, 44378, 304, 39221, 3005, 949, 54756, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 23094, 315, 44378, 25185, 369, 39221, 3005, 4119, 429, 32064, 949, 11560, 11, 21080, 389, 1633, 17984, 323, 2309, 44378, 1667, 8741, 15473, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 23094, 6358, 315, 3654, 44378, 25185, 369, 39221, 3005, 4119, 315, 5335, 3118, 389, 949, 11560, 13, 576, 56251, 4815, 1493, 4119, 374, 429, 6171, 525, 23415, 315, 5479, 323, 429, 1817, 315, 1493, 5479, 646, 4994, 304, 1657, 2155, 6171, 13, 576, 12014, 4263, 458, 5486, 369, 1633, 17984, 323, 1633, 33524, 44378, 70601, 949, 11560, 323, 8741, 15473, 11, 323, 15442, 1181, 6146, 323, 15279, 23094, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 11, 6437, 18527, 448, 7040, 31787, 3059, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 31137, 487, 6358, 315, 44378, 304, 39221, 3005, 949, 54756, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 23094, 315, 44378, 25185, 369, 39221, 3005, 4119, 429, 32064, 949, 11560, 11, 21080, 389, 1633, 17984, 323, 2309, 44378, 1667, 8741, 15473, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 23094, 6358, 315, 3654, 44378, 25185, 369, 39221, 3005, 4119, 315, 5335, 3118, 389, 949, 11560, 13, 576, 56251, 4815, 1493, 4119, 374, 429, 6171, 525, 23415, 315, 5479, 323, 429, 1817, 315, 1493, 5479, 646, 4994, 304, 1657, 2155, 6171, 13, 576, 12014, 4263, 458, 5486, 369, 1633, 17984, 323, 1633, 33524, 44378, 70601, 949, 11560, 323, 8741, 15473, 11, 323, 15442, 1181, 6146, 323, 15279, 23094, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 11, 6437, 18527, 448, 7040, 31787, 3059, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 31137, 487, 6358, 315, 44378, 304, 39221, 3005, 949, 54756, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 85181, 279, 23094, 315, 44378, 25185, 369, 39221, 3005, 4119, 429, 32064, 949, 11560, 11, 21080, 389, 1633, 17984, 323, 2309, 44378, 1667, 8741, 15473, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 23094, 6358, 315, 3654, 44378, 25185, 369, 39221, 3005, 4119, 315, 5335, 3118, 389, 949, 11560, 13, 576, 56251, 4815, 1493, 4119, 374, 429, 6171, 525, 23415, 315, 5479, 323, 429, 1817, 315, 1493, 5479, 646, 4994, 304, 1657, 2155, 6171, 13, 576, 12014, 4263, 458, 5486, 369, 1633, 17984, 323, 1633, 33524, 44378, 70601, 949, 11560, 323, 8741, 15473, 11, 323, 15442, 1181, 6146, 323, 15279, 23094, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 11, 6437, 18527, 448, 7040, 31787, 3059, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 5567, 594, 1887, 4522, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1092, 966, 3005, 1633, 4119, 448, 949, 11560, 369, 17843, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 69894, 1766, 1388, 1614, 369, 1633, 17843, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 39221, 3005, 1633, 1614, 429, 4990, 279, 1352, 315, 69894, 1766, 1388, 4119, 13, 362, 34847, 4565, 315, 419, 1614, 374, 279, 5726, 311, 1824, 364, 4480, 11560, 6, 1576, 279, 1852, 949, 1614, 646, 387, 1483, 553, 5248, 6171, 323, 5144, 304, 5257, 3501, 315, 279, 1633, 69894, 4008, 13, 47598, 374, 1221, 16994, 448, 264, 647, 2015, 8221, 2711, 13, 576, 8622, 1459, 315, 279, 5567, 374, 311, 1473, 1246, 949, 11560, 5707, 10488, 311, 7949, 279, 54480, 23094, 315, 279, 2711, 1576, 82599, 646, 387, 68743, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 66309, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 5008, 16506, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1092, 966, 3005, 1633, 4119, 448, 949, 11560, 369, 17843, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 69894, 1766, 1388, 1614, 369, 1633, 17843, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 39221, 3005, 1633, 1614, 429, 4990, 279, 1352, 315, 69894, 1766, 1388, 4119, 13, 362, 34847, 4565, 315, 419, 1614, 374, 279, 5726, 311, 1824, 364, 4480, 11560, 6, 1576, 279, 1852, 949, 1614, 646, 387, 1483, 553, 5248, 6171, 323, 5144, 304, 5257, 3501, 315, 279, 1633, 69894, 4008, 13, 47598, 374, 1221, 16994, 448, 264, 647, 2015, 8221, 2711, 13, 576, 8622, 1459, 315, 279, 5567, 374, 311, 1473, 1246, 949, 11560, 5707, 10488, 311, 7949, 279, 54480, 23094, 315, 279, 2711, 1576, 82599, 646, 387, 68743, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 66309, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 5008, 16506, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1092, 966, 3005, 1633, 4119, 448, 949, 11560, 369, 17843, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 69894, 1766, 1388, 1614, 369, 1633, 17843, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 39221, 3005, 1633, 1614, 429, 4990, 279, 1352, 315, 69894, 1766, 1388, 4119, 13, 362, 34847, 4565, 315, 419, 1614, 374, 279, 5726, 311, 1824, 364, 4480, 11560, 6, 1576, 279, 1852, 949, 1614, 646, 387, 1483, 553, 5248, 6171, 323, 5144, 304, 5257, 3501, 315, 279, 1633, 69894, 4008, 13, 47598, 374, 1221, 16994, 448, 264, 647, 2015, 8221, 2711, 13, 576, 8622, 1459, 315, 279, 5567, 374, 311, 1473, 1246, 949, 11560, 5707, 10488, 311, 7949, 279, 54480, 23094, 315, 279, 2711, 1576, 82599, 646, 387, 68743, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 66309, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 5008, 16506, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 31137, 487, 315, 78046, 323, 758, 2202, 304, 1198, 966, 3005, 26874, 448, 319, 262, 3660, 56035, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 16555, 6146, 323, 15279, 39221, 3005, 4119, 315, 5248, 6171, 448, 949, 11560, 13, 24114, 525, 5798, 553, 949, 17967, 4480, 61544, 323, 13302, 304, 3793, 315, 264, 69894, 10997, 315, 1633, 5479, 13, 4220, 5479, 525, 15251, 389, 326, 1587, 1216, 315, 43549, 12282, 892, 7540, 458, 10905, 12126, 4008, 13, 1205, 7512, 44378, 323, 6832, 25185, 369, 1493, 4119, 13, 1205, 23643, 279, 23094, 315, 419, 1614, 304, 3793, 315, 34447, 882, 320, 1958, 6146, 18495, 8, 323, 5109, 315, 7798, 320, 68, 1302, 2572, 364, 811, 53669, 863, 369, 15279, 18495, 13, 758, 3953, 11, 582, 12564, 279, 23094, 19619, 553, 949, 11560, 323, 1181, 43293, 389, 1246, 279, 10997, 28405, 448, 279, 2188, 315, 279, 28922, 13, 1205, 13186, 2326, 60811, 315, 26943, 7709, 1380, 279, 10997, 1379, 320, 72, 8, 12703, 74151, 448, 279, 2188, 11, 320, 3808, 8, 374, 10838, 553, 458, 6975, 454, 77990, 39221, 3005, 6832, 12111, 9251, 311, 1931, 821, 11, 320, 34594, 8, 42054, 74151, 448, 5452, 13, 1096, 6358, 4933, 429, 304, 1045, 60811, 279, 990, 315, 6094, 5479, 20081, 25185, 892, 646, 2736, 44378, 304, 882, 13482, 304, 279, 1372, 315, 5866, 369, 458, 58755, 1372, 315, 6171, 13, 758, 1008, 60811, 949, 11560, 702, 2632, 9423, 369, 6146, 18495, 714, 646, 2968, 13482, 8692, 389, 15279, 18495, 382, 34764, 565, 13513, 55695, 198, 677, 258, 2202, 6, 364, 23247, 487, 6, 364, 4480, 6, 364, 83116, 6, 364, 874, 966, 3005, 4119, 1248, 364, 19210, 6, 364, 18347, 6, 364, 10182, 18495, 6, 364, 46103, 18495, 6, 364, 3294, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1092, 966, 3005, 1633, 4119, 448, 949, 11560, 369, 17843, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 69894, 1766, 1388, 1614, 369, 1633, 17843, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 39221, 3005, 1633, 1614, 429, 4990, 279, 1352, 315, 69894, 1766, 1388, 4119, 13, 362, 34847, 4565, 315, 419, 1614, 374, 279, 5726, 311, 1824, 364, 4480, 11560, 6, 1576, 279, 1852, 949, 1614, 646, 387, 1483, 553, 5248, 6171, 323, 5144, 304, 5257, 3501, 315, 279, 1633, 69894, 4008, 13, 47598, 374, 1221, 16994, 448, 264, 647, 2015, 8221, 2711, 13, 576, 8622, 1459, 315, 279, 5567, 374, 311, 1473, 1246, 949, 11560, 5707, 10488, 311, 7949, 279, 54480, 23094, 315, 279, 2711, 1576, 82599, 646, 387, 68743, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 66309, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 5008, 16506, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1425, 10692, 41733, 59752, 1667, 7990, 323, 7299, 12934, 19769, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 29519, 41733, 59752, 1667, 7990, 1995, 323, 264, 7299, 12934, 1932, 74410, 19769, 17646, 382, 34764, 565, 10294, 8883, 198, 21086, 367, 448, 7299, 12934, 1932, 74410, 19769, 11, 9251, 311, 29519, 11129, 11, 1667, 7990, 1995, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 11, 11514, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1425, 10692, 41733, 59752, 1667, 7990, 323, 7299, 12934, 19769, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 29519, 41733, 59752, 1667, 7990, 1995, 323, 264, 7299, 12934, 1932, 74410, 19769, 17646, 382, 34764, 565, 10294, 8883, 198, 21086, 367, 448, 7299, 12934, 1932, 74410, 19769, 11, 9251, 311, 29519, 11129, 11, 1667, 7990, 1995, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 11, 11514, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1425, 10692, 41733, 59752, 1667, 7990, 323, 7299, 12934, 19769, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 29519, 41733, 59752, 1667, 7990, 1995, 323, 264, 7299, 12934, 1932, 74410, 19769, 17646, 382, 34764, 565, 10294, 8883, 198, 21086, 367, 448, 7299, 12934, 1932, 74410, 19769, 11, 9251, 311, 29519, 11129, 11, 1667, 7990, 1995, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 11, 11514, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1425, 10692, 41733, 59752, 1667, 7990, 323, 7299, 12934, 19769, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 29519, 41733, 59752, 1667, 7990, 1995, 323, 264, 7299, 12934, 1932, 74410, 19769, 17646, 382, 34764, 565, 10294, 8883, 198, 21086, 367, 448, 7299, 12934, 1932, 74410, 19769, 11, 9251, 311, 29519, 11129, 11, 1667, 7990, 1995, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 11, 11514, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18184, 35, 41733, 59752, 1667, 7990, 1995, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 48706, 287, 12955, 69193, 42914, 448, 7990, 2415, 1995, 504, 264, 94503, 20978, 35, 6249, 369, 29519, 41733, 59752, 13, 5976, 279, 4522, 374, 1632, 1448, 354, 54686, 323, 5810, 11, 279, 52299, 897, 315, 7990, 1995, 374, 537, 9355, 20459, 382, 34764, 565, 10294, 8883, 198, 1986, 975, 22111, 389, 3213, 1633, 7806, 9070, 367, 975, 553, 13452, 10237, 1842, 452, 2572, 553, 48706, 287, 279, 12955, 69193, 42914, 448, 6174, 429, 11364, 264, 7990, 2415, 504, 264, 94503, 20978, 35, 6249, 13, 1096, 975, 4977, 311, 752, 264, 1632, 1448, 354, 54686, 323, 5810, 8894, 1431, 429, 20978, 35, 25092, 525, 30268, 2500, 13, 576, 52299, 897, 315, 279, 7990, 5496, 374, 537, 11368, 2797, 504, 419, 5567, 13, 758, 17508, 11, 279, 7990, 1995, 1265, 387, 15172, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 11, 1410, 728, 2987, 1616, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18184, 35, 41733, 59752, 1667, 7990, 1995, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 48706, 287, 12955, 69193, 42914, 448, 7990, 2415, 1995, 504, 264, 94503, 20978, 35, 6249, 369, 29519, 41733, 59752, 13, 5976, 279, 4522, 374, 1632, 1448, 354, 54686, 323, 5810, 11, 279, 52299, 897, 315, 7990, 1995, 374, 537, 9355, 20459, 382, 34764, 565, 10294, 8883, 198, 1986, 975, 22111, 389, 3213, 1633, 7806, 9070, 367, 975, 553, 13452, 10237, 1842, 452, 2572, 553, 48706, 287, 279, 12955, 69193, 42914, 448, 6174, 429, 11364, 264, 7990, 2415, 504, 264, 94503, 20978, 35, 6249, 13, 1096, 975, 4977, 311, 752, 264, 1632, 1448, 354, 54686, 323, 5810, 8894, 1431, 429, 20978, 35, 25092, 525, 30268, 2500, 13, 576, 52299, 897, 315, 279, 7990, 5496, 374, 537, 11368, 2797, 504, 419, 5567, 13, 758, 17508, 11, 279, 7990, 1995, 1265, 387, 15172, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 11, 1410, 728, 2987, 1616, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18184, 35, 41733, 59752, 1667, 7990, 1995, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 48706, 287, 12955, 69193, 42914, 448, 7990, 2415, 1995, 504, 264, 94503, 20978, 35, 6249, 369, 29519, 41733, 59752, 13, 5976, 279, 4522, 374, 1632, 1448, 354, 54686, 323, 5810, 11, 279, 52299, 897, 315, 7990, 1995, 374, 537, 9355, 20459, 382, 34764, 565, 10294, 8883, 198, 1986, 975, 22111, 389, 3213, 1633, 7806, 9070, 367, 975, 553, 13452, 10237, 1842, 452, 2572, 553, 48706, 287, 279, 12955, 69193, 42914, 448, 6174, 429, 11364, 264, 7990, 2415, 504, 264, 94503, 20978, 35, 6249, 13, 1096, 975, 4977, 311, 752, 264, 1632, 1448, 354, 54686, 323, 5810, 8894, 1431, 429, 20978, 35, 25092, 525, 30268, 2500, 13, 576, 52299, 897, 315, 279, 7990, 5496, 374, 537, 11368, 2797, 504, 419, 5567, 13, 758, 17508, 11, 279, 7990, 1995, 1265, 387, 15172, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 11, 1410, 728, 2987, 1616, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18184, 35, 41733, 59752, 1667, 7990, 1995, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 48706, 287, 12955, 69193, 42914, 448, 7990, 2415, 1995, 504, 264, 94503, 20978, 35, 6249, 369, 29519, 41733, 59752, 13, 5976, 279, 4522, 374, 1632, 1448, 354, 54686, 323, 5810, 11, 279, 52299, 897, 315, 7990, 1995, 374, 537, 9355, 20459, 382, 34764, 565, 10294, 8883, 198, 1986, 975, 22111, 389, 3213, 1633, 7806, 9070, 367, 975, 553, 13452, 10237, 1842, 452, 2572, 553, 48706, 287, 279, 12955, 69193, 42914, 448, 6174, 429, 11364, 264, 7990, 2415, 504, 264, 94503, 20978, 35, 6249, 13, 1096, 975, 4977, 311, 752, 264, 1632, 1448, 354, 54686, 323, 5810, 8894, 1431, 429, 20978, 35, 25092, 525, 30268, 2500, 13, 576, 52299, 897, 315, 279, 7990, 5496, 374, 537, 11368, 2797, 504, 419, 5567, 13, 758, 17508, 11, 279, 7990, 1995, 1265, 387, 15172, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 11, 1410, 728, 2987, 1616, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 34892, 3214, 278, 29728, 14155, 369, 20978, 9420, 29519, 6109, 59752, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 16790, 55712, 278, 29728, 14155, 311, 20978, 9420, 29519, 6109, 59752, 11, 44196, 429, 7842, 7990, 1995, 438, 264, 8651, 5496, 34950, 5068, 369, 1429, 59752, 6846, 13, 4354, 11, 279, 5486, 374, 30339, 323, 36756, 19117, 26403, 315, 1246, 311, 1850, 31072, 7990, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 975, 16790, 55712, 278, 29728, 14155, 311, 279, 3383, 315, 20978, 9420, 29519, 6109, 59752, 13, 576, 12014, 8597, 25070, 279, 1852, 7299, 12934, 5686, 4179, 17646, 389, 279, 821, 1667, 1172, 20978, 1995, 11, 419, 975, 31116, 429, 369, 1429, 59752, 6846, 8241, 7990, 1995, 311, 279, 5686, 4179, 12703, 5068, 13, 576, 1614, 4936, 11367, 7990, 438, 264, 8651, 5496, 311, 279, 6350, 20978, 11744, 304, 264, 5686, 4179, 13, 43920, 702, 1045, 4911, 5888, 384, 1302, 13, 54910, 608, 7402, 2750, 11649, 389, 279, 12002, 13, 1084, 1035, 387, 6419, 311, 1490, 1045, 17879, 476, 21204, 389, 1246, 311, 10277, 31072, 7990, 821, 1119, 279, 6350, 1614, 382, 34764, 565, 10294, 19216, 198, 21681, 745, 3403, 12171, 25, 6437, 714, 537, 63855, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 34892, 3214, 278, 29728, 14155, 369, 20978, 9420, 29519, 6109, 59752, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 16790, 55712, 278, 29728, 14155, 311, 20978, 9420, 29519, 6109, 59752, 11, 44196, 429, 7842, 7990, 1995, 438, 264, 8651, 5496, 34950, 5068, 369, 1429, 59752, 6846, 13, 4354, 11, 279, 5486, 374, 30339, 323, 36756, 19117, 26403, 315, 1246, 311, 1850, 31072, 7990, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 975, 16790, 55712, 278, 29728, 14155, 311, 279, 3383, 315, 20978, 9420, 29519, 6109, 59752, 13, 576, 12014, 8597, 25070, 279, 1852, 7299, 12934, 5686, 4179, 17646, 389, 279, 821, 1667, 1172, 20978, 1995, 11, 419, 975, 31116, 429, 369, 1429, 59752, 6846, 8241, 7990, 1995, 311, 279, 5686, 4179, 12703, 5068, 13, 576, 1614, 4936, 11367, 7990, 438, 264, 8651, 5496, 311, 279, 6350, 20978, 11744, 304, 264, 5686, 4179, 13, 43920, 702, 1045, 4911, 5888, 384, 1302, 13, 54910, 608, 7402, 2750, 11649, 389, 279, 12002, 13, 1084, 1035, 387, 6419, 311, 1490, 1045, 17879, 476, 21204, 389, 1246, 311, 10277, 31072, 7990, 821, 1119, 279, 6350, 1614, 382, 34764, 565, 10294, 19216, 198, 21681, 745, 3403, 12171, 25, 6437, 714, 537, 63855, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 34892, 3214, 278, 29728, 14155, 369, 20978, 9420, 29519, 6109, 59752, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 16790, 55712, 278, 29728, 14155, 311, 20978, 9420, 29519, 6109, 59752, 11, 44196, 429, 7842, 7990, 1995, 438, 264, 8651, 5496, 34950, 5068, 369, 1429, 59752, 6846, 13, 4354, 11, 279, 5486, 374, 30339, 323, 36756, 19117, 26403, 315, 1246, 311, 1850, 31072, 7990, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 975, 16790, 55712, 278, 29728, 14155, 311, 279, 3383, 315, 20978, 9420, 29519, 6109, 59752, 13, 576, 12014, 8597, 25070, 279, 1852, 7299, 12934, 5686, 4179, 17646, 389, 279, 821, 1667, 1172, 20978, 1995, 11, 419, 975, 31116, 429, 369, 1429, 59752, 6846, 8241, 7990, 1995, 311, 279, 5686, 4179, 12703, 5068, 13, 576, 1614, 4936, 11367, 7990, 438, 264, 8651, 5496, 311, 279, 6350, 20978, 11744, 304, 264, 5686, 4179, 13, 43920, 702, 1045, 4911, 5888, 384, 1302, 13, 54910, 608, 7402, 2750, 11649, 389, 279, 12002, 13, 1084, 1035, 387, 6419, 311, 1490, 1045, 17879, 476, 21204, 389, 1246, 311, 10277, 31072, 7990, 821, 1119, 279, 6350, 1614, 382, 34764, 565, 10294, 19216, 198, 21681, 745, 3403, 12171, 25, 6437, 714, 537, 63855, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 1425, 10692, 74333, 17209, 31099, 1667, 7990, 1995, 271, 34764, 565, 13513, 8883, 198, 1986, 975, 14230, 7299, 14800, 59752, 315, 29519, 16065, 448, 20978, 9420, 11127, 13, 5976, 419, 3082, 315, 3412, 702, 18163, 1753, 6529, 5926, 11, 1429, 4278, 2058, 17188, 389, 1424, 1786, 60769, 4419, 13, 758, 12872, 11, 582, 3796, 264, 74737, 2246, 55712, 278, 3922, 311, 3960, 4419, 5961, 504, 279, 5335, 323, 279, 7990, 1995, 13, 1205, 40368, 279, 54302, 315, 29519, 16065, 304, 2766, 23700, 429, 1410, 387, 15233, 304, 1931, 7246, 1667, 8311, 11773, 1741, 438, 458, 89462, 382, 34764, 565, 13513, 55695, 198, 677, 17561, 1995, 6, 364, 484, 10692, 16065, 6, 364, 20304, 1248, 364, 484, 10692, 41733, 59752, 6, 364, 1778, 6, 364, 23169, 367, 6, 364, 24941, 6, 364, 4798, 1248, 364, 60464, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 34892, 3214, 278, 29728, 14155, 369, 20978, 9420, 29519, 6109, 59752, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 16790, 55712, 278, 29728, 14155, 311, 20978, 9420, 29519, 6109, 59752, 11, 44196, 429, 7842, 7990, 1995, 438, 264, 8651, 5496, 34950, 5068, 369, 1429, 59752, 6846, 13, 4354, 11, 279, 5486, 374, 30339, 323, 36756, 19117, 26403, 315, 1246, 311, 1850, 31072, 7990, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 975, 16790, 55712, 278, 29728, 14155, 311, 279, 3383, 315, 20978, 9420, 29519, 6109, 59752, 13, 576, 12014, 8597, 25070, 279, 1852, 7299, 12934, 5686, 4179, 17646, 389, 279, 821, 1667, 1172, 20978, 1995, 11, 419, 975, 31116, 429, 369, 1429, 59752, 6846, 8241, 7990, 1995, 311, 279, 5686, 4179, 12703, 5068, 13, 576, 1614, 4936, 11367, 7990, 438, 264, 8651, 5496, 311, 279, 6350, 20978, 11744, 304, 264, 5686, 4179, 13, 43920, 702, 1045, 4911, 5888, 384, 1302, 13, 54910, 608, 7402, 2750, 11649, 389, 279, 12002, 13, 1084, 1035, 387, 6419, 311, 1490, 1045, 17879, 476, 21204, 389, 1246, 311, 10277, 31072, 7990, 821, 1119, 279, 6350, 1614, 382, 34764, 565, 10294, 19216, 198, 21681, 745, 3403, 12171, 25, 6437, 714, 537, 63855, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 54281, 53107, 77619, 369, 16151, 45947, 89, 17562, 43904, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 18448, 53107, 14762, 369, 4862, 45947, 89, 17562, 12645, 11, 76482, 279, 35504, 1995, 6172, 323, 458, 11050, 59756, 12111, 311, 11625, 369, 4680, 8837, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 18448, 53107, 14762, 311, 5426, 45947, 89, 17562, 12645, 13, 1096, 374, 15791, 279, 5486, 315, 3303, 2780, 1842, 452, 320, 16, 24, 24, 17, 8, 1380, 279, 35504, 1995, 6172, 374, 13302, 11, 323, 279, 12014, 16045, 279, 35504, 1995, 6172, 444, 448, 10295, 48876, 504, 279, 1614, 7982, 1667, 264, 386, 9985, 34, 5486, 448, 5248, 26179, 13, 576, 20169, 342, 374, 12943, 504, 75917, 9118, 11, 323, 279, 4680, 2647, 856, 374, 12180, 553, 21828, 444, 87, 37162, 448, 458, 11050, 59756, 12111, 13, 43145, 773, 4317, 3132, 1035, 387, 1602, 33248, 1576, 279, 6172, 444, 374, 3460, 13, 576, 14068, 374, 311, 3158, 444, 438, 279, 59308, 315, 279, 24521, 1103, 328, 448, 5091, 311, 279, 1614, 7982, 323, 1896, 9423, 315, 279, 13482, 6993, 315, 279, 6077, 5461, 311, 16045, 279, 1985, 444, 86, 304, 264, 11566, 429, 1172, 7460, 279, 5819, 315, 279, 24521, 1103, 369, 1817, 6077, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 54281, 53107, 77619, 369, 16151, 45947, 89, 17562, 43904, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 18448, 53107, 14762, 369, 4862, 45947, 89, 17562, 12645, 11, 76482, 279, 35504, 1995, 6172, 323, 458, 11050, 59756, 12111, 311, 11625, 369, 4680, 8837, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 18448, 53107, 14762, 311, 5426, 45947, 89, 17562, 12645, 13, 1096, 374, 15791, 279, 5486, 315, 3303, 2780, 1842, 452, 320, 16, 24, 24, 17, 8, 1380, 279, 35504, 1995, 6172, 374, 13302, 11, 323, 279, 12014, 16045, 279, 35504, 1995, 6172, 444, 448, 10295, 48876, 504, 279, 1614, 7982, 1667, 264, 386, 9985, 34, 5486, 448, 5248, 26179, 13, 576, 20169, 342, 374, 12943, 504, 75917, 9118, 11, 323, 279, 4680, 2647, 856, 374, 12180, 553, 21828, 444, 87, 37162, 448, 458, 11050, 59756, 12111, 13, 43145, 773, 4317, 3132, 1035, 387, 1602, 33248, 1576, 279, 6172, 444, 374, 3460, 13, 576, 14068, 374, 311, 3158, 444, 438, 279, 59308, 315, 279, 24521, 1103, 328, 448, 5091, 311, 279, 1614, 7982, 323, 1896, 9423, 315, 279, 13482, 6993, 315, 279, 6077, 5461, 311, 16045, 279, 1985, 444, 86, 304, 264, 11566, 429, 1172, 7460, 279, 5819, 315, 279, 24521, 1103, 369, 1817, 6077, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 54281, 53107, 77619, 369, 16151, 45947, 89, 17562, 43904, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 18448, 53107, 14762, 369, 4862, 45947, 89, 17562, 12645, 11, 76482, 279, 35504, 1995, 6172, 323, 458, 11050, 59756, 12111, 311, 11625, 369, 4680, 8837, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 18448, 53107, 14762, 311, 5426, 45947, 89, 17562, 12645, 13, 1096, 374, 15791, 279, 5486, 315, 3303, 2780, 1842, 452, 320, 16, 24, 24, 17, 8, 1380, 279, 35504, 1995, 6172, 374, 13302, 11, 323, 279, 12014, 16045, 279, 35504, 1995, 6172, 444, 448, 10295, 48876, 504, 279, 1614, 7982, 1667, 264, 386, 9985, 34, 5486, 448, 5248, 26179, 13, 576, 20169, 342, 374, 12943, 504, 75917, 9118, 11, 323, 279, 4680, 2647, 856, 374, 12180, 553, 21828, 444, 87, 37162, 448, 458, 11050, 59756, 12111, 13, 43145, 773, 4317, 3132, 1035, 387, 1602, 33248, 1576, 279, 6172, 444, 374, 3460, 13, 576, 14068, 374, 311, 3158, 444, 438, 279, 59308, 315, 279, 24521, 1103, 328, 448, 5091, 311, 279, 1614, 7982, 323, 1896, 9423, 315, 279, 13482, 6993, 315, 279, 6077, 5461, 311, 16045, 279, 1985, 444, 86, 304, 264, 11566, 429, 1172, 7460, 279, 5819, 315, 279, 24521, 1103, 369, 1817, 6077, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 54281, 53107, 77619, 369, 16151, 45947, 89, 17562, 43904, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 18448, 53107, 14762, 369, 4862, 45947, 89, 17562, 12645, 11, 76482, 279, 35504, 1995, 6172, 323, 458, 11050, 59756, 12111, 311, 11625, 369, 4680, 8837, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 18448, 53107, 14762, 311, 5426, 45947, 89, 17562, 12645, 13, 1096, 374, 15791, 279, 5486, 315, 3303, 2780, 1842, 452, 320, 16, 24, 24, 17, 8, 1380, 279, 35504, 1995, 6172, 374, 13302, 11, 323, 279, 12014, 16045, 279, 35504, 1995, 6172, 444, 448, 10295, 48876, 504, 279, 1614, 7982, 1667, 264, 386, 9985, 34, 5486, 448, 5248, 26179, 13, 576, 20169, 342, 374, 12943, 504, 75917, 9118, 11, 323, 279, 4680, 2647, 856, 374, 12180, 553, 21828, 444, 87, 37162, 448, 458, 11050, 59756, 12111, 13, 43145, 773, 4317, 3132, 1035, 387, 1602, 33248, 1576, 279, 6172, 444, 374, 3460, 13, 576, 14068, 374, 311, 3158, 444, 438, 279, 59308, 315, 279, 24521, 1103, 328, 448, 5091, 311, 279, 1614, 7982, 323, 1896, 9423, 315, 279, 13482, 6993, 315, 279, 6077, 5461, 311, 16045, 279, 1985, 444, 86, 304, 264, 11566, 429, 1172, 7460, 279, 5819, 315, 279, 24521, 1103, 369, 1817, 6077, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 54281, 20169, 12111, 369, 5538, 45947, 89, 17562, 12645, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 5810, 20169, 12111, 369, 4862, 5538, 45947, 89, 17562, 12645, 11, 448, 264, 2797, 323, 98632, 4008, 315, 279, 5810, 20169, 1714, 13, 576, 5486, 374, 62134, 5112, 11, 714, 1181, 14976, 22146, 916, 95240, 7192, 28636, 525, 537, 7225, 35031, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 5810, 20169, 12111, 369, 5538, 45947, 89, 17562, 12645, 13, 576, 12014, 1969, 387, 1063, 2883, 369, 862, 9016, 2797, 323, 98632, 4008, 315, 279, 5810, 20169, 1714, 304, 11113, 220, 17, 13, 1096, 15496, 374, 7945, 5390, 1576, 11, 12824, 11, 1657, 315, 279, 15689, 389, 1995, 17047, 525, 2588, 311, 1795, 13, 576, 18763, 804, 525, 1083, 4396, 323, 5112, 13, 576, 18763, 804, 304, 279, 87577, 525, 28824, 13142, 3059, 11, 714, 862, 5256, 374, 4363, 311, 7269, 91494, 315, 279, 5567, 13, 576, 6559, 63939, 315, 2086, 1973, 19041, 1156, 1973, 25262, 5413, 525, 1632, 3881, 304, 279, 72349, 1142, 13, 2619, 374, 374, 1083, 1045, 31787, 18821, 369, 279, 95240, 1142, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3685, 25505, 12171, 11, 714, 1410, 387, 31728, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 54281, 20169, 12111, 369, 5538, 45947, 89, 17562, 12645, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 5810, 20169, 12111, 369, 4862, 5538, 45947, 89, 17562, 12645, 11, 448, 264, 2797, 323, 98632, 4008, 315, 279, 5810, 20169, 1714, 13, 576, 5486, 374, 62134, 5112, 11, 714, 1181, 14976, 22146, 916, 95240, 7192, 28636, 525, 537, 7225, 35031, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 5810, 20169, 12111, 369, 5538, 45947, 89, 17562, 12645, 13, 576, 12014, 1969, 387, 1063, 2883, 369, 862, 9016, 2797, 323, 98632, 4008, 315, 279, 5810, 20169, 1714, 304, 11113, 220, 17, 13, 1096, 15496, 374, 7945, 5390, 1576, 11, 12824, 11, 1657, 315, 279, 15689, 389, 1995, 17047, 525, 2588, 311, 1795, 13, 576, 18763, 804, 525, 1083, 4396, 323, 5112, 13, 576, 18763, 804, 304, 279, 87577, 525, 28824, 13142, 3059, 11, 714, 862, 5256, 374, 4363, 311, 7269, 91494, 315, 279, 5567, 13, 576, 6559, 63939, 315, 2086, 1973, 19041, 1156, 1973, 25262, 5413, 525, 1632, 3881, 304, 279, 72349, 1142, 13, 2619, 374, 374, 1083, 1045, 31787, 18821, 369, 279, 95240, 1142, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3685, 25505, 12171, 11, 714, 1410, 387, 31728, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 54281, 20169, 12111, 369, 5538, 45947, 89, 17562, 12645, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 5810, 20169, 12111, 369, 4862, 5538, 45947, 89, 17562, 12645, 11, 448, 264, 2797, 323, 98632, 4008, 315, 279, 5810, 20169, 1714, 13, 576, 5486, 374, 62134, 5112, 11, 714, 1181, 14976, 22146, 916, 95240, 7192, 28636, 525, 537, 7225, 35031, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 5810, 20169, 12111, 369, 5538, 45947, 89, 17562, 12645, 13, 576, 12014, 1969, 387, 1063, 2883, 369, 862, 9016, 2797, 323, 98632, 4008, 315, 279, 5810, 20169, 1714, 304, 11113, 220, 17, 13, 1096, 15496, 374, 7945, 5390, 1576, 11, 12824, 11, 1657, 315, 279, 15689, 389, 1995, 17047, 525, 2588, 311, 1795, 13, 576, 18763, 804, 525, 1083, 4396, 323, 5112, 13, 576, 18763, 804, 304, 279, 87577, 525, 28824, 13142, 3059, 11, 714, 862, 5256, 374, 4363, 311, 7269, 91494, 315, 279, 5567, 13, 576, 6559, 63939, 315, 2086, 1973, 19041, 1156, 1973, 25262, 5413, 525, 1632, 3881, 304, 279, 72349, 1142, 13, 2619, 374, 374, 1083, 1045, 31787, 18821, 369, 279, 95240, 1142, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3685, 25505, 12171, 11, 714, 1410, 387, 31728, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 54281, 20169, 12111, 369, 5538, 45947, 89, 17562, 12645, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 5810, 20169, 12111, 369, 4862, 5538, 45947, 89, 17562, 12645, 11, 448, 264, 2797, 323, 98632, 4008, 315, 279, 5810, 20169, 1714, 13, 576, 5486, 374, 62134, 5112, 11, 714, 1181, 14976, 22146, 916, 95240, 7192, 28636, 525, 537, 7225, 35031, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 5810, 20169, 12111, 369, 5538, 45947, 89, 17562, 12645, 13, 576, 12014, 1969, 387, 1063, 2883, 369, 862, 9016, 2797, 323, 98632, 4008, 315, 279, 5810, 20169, 1714, 304, 11113, 220, 17, 13, 1096, 15496, 374, 7945, 5390, 1576, 11, 12824, 11, 1657, 315, 279, 15689, 389, 1995, 17047, 525, 2588, 311, 1795, 13, 576, 18763, 804, 525, 1083, 4396, 323, 5112, 13, 576, 18763, 804, 304, 279, 87577, 525, 28824, 13142, 3059, 11, 714, 862, 5256, 374, 4363, 311, 7269, 91494, 315, 279, 5567, 13, 576, 6559, 63939, 315, 2086, 1973, 19041, 1156, 1973, 25262, 5413, 525, 1632, 3881, 304, 279, 72349, 1142, 13, 2619, 374, 374, 1083, 1045, 31787, 18821, 369, 279, 95240, 1142, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3685, 25505, 12171, 11, 714, 1410, 387, 31728, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 472, 74329, 12577, 25262, 1667, 35504, 1995, 6172, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 501, 20169, 36952, 12111, 429, 40700, 279, 44868, 472, 74329, 65192, 1985, 448, 458, 44868, 35504, 1995, 6172, 65192, 1985, 11, 37078, 311, 56632, 349, 279, 2456, 315, 5862, 58005, 291, 98705, 5380, 304, 4862, 5952, 21634, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 501, 20169, 36952, 12111, 429, 32411, 374, 3118, 389, 472, 74329, 12577, 25262, 11, 714, 40700, 279, 44868, 472, 74329, 65192, 1985, 553, 458, 44868, 35504, 1995, 6172, 65192, 1985, 13, 1084, 374, 1483, 311, 5426, 264, 5952, 44, 11, 10596, 1091, 279, 25869, 12111, 304, 3793, 315, 39346, 4362, 11, 714, 518, 279, 2783, 315, 264, 54480, 73917, 320, 9096, 264, 8168, 220, 18, 15, 568, 576, 5567, 374, 1632, 66283, 11, 279, 12111, 374, 11514, 11, 7892, 537, 42493, 773, 13, 758, 3793, 315, 24798, 11, 279, 501, 12111, 21538, 311, 56632, 349, 279, 2456, 315, 5862, 58005, 291, 98705, 5380, 382, 34764, 565, 10294, 19216, 198, 21, 25, 71124, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 472, 74329, 12577, 25262, 1667, 35504, 1995, 6172, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 501, 20169, 36952, 12111, 429, 40700, 279, 44868, 472, 74329, 65192, 1985, 448, 458, 44868, 35504, 1995, 6172, 65192, 1985, 11, 37078, 311, 56632, 349, 279, 2456, 315, 5862, 58005, 291, 98705, 5380, 304, 4862, 5952, 21634, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 501, 20169, 36952, 12111, 429, 32411, 374, 3118, 389, 472, 74329, 12577, 25262, 11, 714, 40700, 279, 44868, 472, 74329, 65192, 1985, 553, 458, 44868, 35504, 1995, 6172, 65192, 1985, 13, 1084, 374, 1483, 311, 5426, 264, 5952, 44, 11, 10596, 1091, 279, 25869, 12111, 304, 3793, 315, 39346, 4362, 11, 714, 518, 279, 2783, 315, 264, 54480, 73917, 320, 9096, 264, 8168, 220, 18, 15, 568, 576, 5567, 374, 1632, 66283, 11, 279, 12111, 374, 11514, 11, 7892, 537, 42493, 773, 13, 758, 3793, 315, 24798, 11, 279, 501, 12111, 21538, 311, 56632, 349, 279, 2456, 315, 5862, 58005, 291, 98705, 5380, 382, 34764, 565, 10294, 19216, 198, 21, 25, 71124, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 472, 74329, 12577, 25262, 1667, 35504, 1995, 6172, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 501, 20169, 36952, 12111, 429, 40700, 279, 44868, 472, 74329, 65192, 1985, 448, 458, 44868, 35504, 1995, 6172, 65192, 1985, 11, 37078, 311, 56632, 349, 279, 2456, 315, 5862, 58005, 291, 98705, 5380, 304, 4862, 5952, 21634, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 501, 20169, 36952, 12111, 429, 32411, 374, 3118, 389, 472, 74329, 12577, 25262, 11, 714, 40700, 279, 44868, 472, 74329, 65192, 1985, 553, 458, 44868, 35504, 1995, 6172, 65192, 1985, 13, 1084, 374, 1483, 311, 5426, 264, 5952, 44, 11, 10596, 1091, 279, 25869, 12111, 304, 3793, 315, 39346, 4362, 11, 714, 518, 279, 2783, 315, 264, 54480, 73917, 320, 9096, 264, 8168, 220, 18, 15, 568, 576, 5567, 374, 1632, 66283, 11, 279, 12111, 374, 11514, 11, 7892, 537, 42493, 773, 13, 758, 3793, 315, 24798, 11, 279, 501, 12111, 21538, 311, 56632, 349, 279, 2456, 315, 5862, 58005, 291, 98705, 5380, 382, 34764, 565, 10294, 19216, 198, 21, 25, 71124, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 54310, 62890, 18448, 53107, 369, 29733, 12, 36930, 315, 45947, 89, 17562, 43904, 271, 34764, 565, 13513, 8883, 198, 1986, 5567, 38919, 279, 52458, 62890, 18448, 53107, 320, 31607, 6140, 8, 12111, 369, 4862, 45947, 89, 17562, 43904, 13, 21476, 304, 8913, 311, 279, 472, 74329, 62890, 1714, 315, 8127, 724, 508, 23, 1125, 1039, 12111, 17180, 311, 279, 2997, 315, 59756, 20668, 5413, 323, 62388, 458, 11050, 6172, 65192, 1985, 311, 5648, 20975, 27572, 279, 5810, 20169, 18266, 400, 43, 12947, 1096, 18266, 374, 6839, 311, 387, 279, 3601, 2086, 31805, 315, 279, 1487, 28037, 680, 729, 320, 7995, 279, 1614, 7982, 701, 476, 43454, 4402, 11, 279, 32273, 315, 279, 4621, 315, 7130, 42545, 315, 279, 4802, 729, 13, 1205, 15442, 1039, 1714, 389, 279, 3383, 315, 10284, 85370, 264, 220, 18, 47335, 18183, 45947, 89, 17562, 12960, 323, 1473, 429, 38254, 6140, 1558, 12824, 614, 10596, 817, 12, 20197, 55441, 7707, 311, 794, 65954, 26599, 32929, 19906, 448, 4126, 287, 382, 34764, 565, 13513, 55695, 198, 677, 52880, 20169, 6, 364, 52433, 89, 17562, 12645, 6, 364, 28124, 968, 6, 364, 19688, 6, 364, 64287, 1248, 364, 85290, 6, 364, 33472, 724, 6, 364, 19688, 17180, 6, 364, 18984, 1248, 364, 376, 38007, 501, 777, 5413, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 472, 74329, 12577, 25262, 1667, 35504, 1995, 6172, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 501, 20169, 36952, 12111, 429, 40700, 279, 44868, 472, 74329, 65192, 1985, 448, 458, 44868, 35504, 1995, 6172, 65192, 1985, 11, 37078, 311, 56632, 349, 279, 2456, 315, 5862, 58005, 291, 98705, 5380, 304, 4862, 5952, 21634, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 501, 20169, 36952, 12111, 429, 32411, 374, 3118, 389, 472, 74329, 12577, 25262, 11, 714, 40700, 279, 44868, 472, 74329, 65192, 1985, 553, 458, 44868, 35504, 1995, 6172, 65192, 1985, 13, 1084, 374, 1483, 311, 5426, 264, 5952, 44, 11, 10596, 1091, 279, 25869, 12111, 304, 3793, 315, 39346, 4362, 11, 714, 518, 279, 2783, 315, 264, 54480, 73917, 320, 9096, 264, 8168, 220, 18, 15, 568, 576, 5567, 374, 1632, 66283, 11, 279, 12111, 374, 11514, 11, 7892, 537, 42493, 773, 13, 758, 3793, 315, 24798, 11, 279, 501, 12111, 21538, 311, 56632, 349, 279, 2456, 315, 5862, 58005, 291, 98705, 5380, 382, 34764, 565, 10294, 19216, 198, 21, 25, 71124, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 8894, 315, 69894, 33444, 10822, 448, 35915, 1995, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 1614, 34171, 5622, 5239, 11, 1909, 14875, 11, 323, 35915, 1995, 369, 6975, 454, 77990, 6832, 315, 1766, 1388, 4119, 389, 6803, 13, 576, 1614, 5711, 5302, 369, 35915, 28137, 323, 11137, 438, 41667, 7332, 67595, 504, 5335, 13, 5976, 279, 4522, 374, 11514, 11, 279, 16148, 374, 38432, 16965, 11, 323, 279, 1614, 7952, 311, 387, 264, 22990, 315, 33444, 10822, 448, 3694, 35915, 3793, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 501, 1614, 892, 32411, 5622, 5239, 11, 1909, 14875, 11, 323, 35915, 1995, 311, 6832, 264, 1766, 1388, 1614, 304, 458, 6975, 454, 77990, 11153, 389, 6803, 13, 576, 1614, 374, 59294, 304, 3793, 315, 5302, 11, 892, 6777, 35915, 28137, 1995, 1948, 882, 7354, 11, 323, 11137, 892, 525, 279, 41667, 7332, 67595, 504, 279, 1946, 2168, 429, 4774, 311, 10339, 1128, 374, 304, 279, 2168, 13, 576, 5567, 38919, 264, 11514, 8894, 311, 69894, 33444, 10822, 1714, 553, 51813, 35915, 1995, 518, 1817, 6193, 315, 279, 1614, 13, 576, 7852, 16148, 315, 419, 12040, 4285, 4522, 9982, 279, 5567, 1182, 10078, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 5567, 11, 7469, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 8894, 315, 69894, 33444, 10822, 448, 35915, 1995, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 1614, 34171, 5622, 5239, 11, 1909, 14875, 11, 323, 35915, 1995, 369, 6975, 454, 77990, 6832, 315, 1766, 1388, 4119, 389, 6803, 13, 576, 1614, 5711, 5302, 369, 35915, 28137, 323, 11137, 438, 41667, 7332, 67595, 504, 5335, 13, 5976, 279, 4522, 374, 11514, 11, 279, 16148, 374, 38432, 16965, 11, 323, 279, 1614, 7952, 311, 387, 264, 22990, 315, 33444, 10822, 448, 3694, 35915, 3793, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 501, 1614, 892, 32411, 5622, 5239, 11, 1909, 14875, 11, 323, 35915, 1995, 311, 6832, 264, 1766, 1388, 1614, 304, 458, 6975, 454, 77990, 11153, 389, 6803, 13, 576, 1614, 374, 59294, 304, 3793, 315, 5302, 11, 892, 6777, 35915, 28137, 1995, 1948, 882, 7354, 11, 323, 11137, 892, 525, 279, 41667, 7332, 67595, 504, 279, 1946, 2168, 429, 4774, 311, 10339, 1128, 374, 304, 279, 2168, 13, 576, 5567, 38919, 264, 11514, 8894, 311, 69894, 33444, 10822, 1714, 553, 51813, 35915, 1995, 518, 1817, 6193, 315, 279, 1614, 13, 576, 7852, 16148, 315, 419, 12040, 4285, 4522, 9982, 279, 5567, 1182, 10078, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 5567, 11, 7469, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880 ]
[ 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
[ 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 ]
17
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 8894, 315, 69894, 33444, 10822, 448, 35915, 1995, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 1614, 34171, 5622, 5239, 11, 1909, 14875, 11, 323, 35915, 1995, 369, 6975, 454, 77990, 6832, 315, 1766, 1388, 4119, 389, 6803, 13, 576, 1614, 5711, 5302, 369, 35915, 28137, 323, 11137, 438, 41667, 7332, 67595, 504, 5335, 13, 5976, 279, 4522, 374, 11514, 11, 279, 16148, 374, 38432, 16965, 11, 323, 279, 1614, 7952, 311, 387, 264, 22990, 315, 33444, 10822, 448, 3694, 35915, 3793, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 501, 1614, 892, 32411, 5622, 5239, 11, 1909, 14875, 11, 323, 35915, 1995, 311, 6832, 264, 1766, 1388, 1614, 304, 458, 6975, 454, 77990, 11153, 389, 6803, 13, 576, 1614, 374, 59294, 304, 3793, 315, 5302, 11, 892, 6777, 35915, 28137, 1995, 1948, 882, 7354, 11, 323, 11137, 892, 525, 279, 41667, 7332, 67595, 504, 279, 1946, 2168, 429, 4774, 311, 10339, 1128, 374, 304, 279, 2168, 13, 576, 5567, 38919, 264, 11514, 8894, 311, 69894, 33444, 10822, 1714, 553, 51813, 35915, 1995, 518, 1817, 6193, 315, 279, 1614, 13, 576, 7852, 16148, 315, 419, 12040, 4285, 4522, 9982, 279, 5567, 1182, 10078, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 5567, 11, 7469, 4193, 271, 34764, 565, 10294, 86324, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 8894, 315, 69894, 33444, 10822, 448, 35915, 1995, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 1614, 34171, 5622, 5239, 11, 1909, 14875, 11, 323, 35915, 1995, 369, 6975, 454, 77990, 6832, 315, 1766, 1388, 4119, 389, 6803, 13, 576, 1614, 5711, 5302, 369, 35915, 28137, 323, 11137, 438, 41667, 7332, 67595, 504, 5335, 13, 5976, 279, 4522, 374, 11514, 11, 279, 16148, 374, 38432, 16965, 11, 323, 279, 1614, 7952, 311, 387, 264, 22990, 315, 33444, 10822, 448, 3694, 35915, 3793, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 501, 1614, 892, 32411, 5622, 5239, 11, 1909, 14875, 11, 323, 35915, 1995, 311, 6832, 264, 1766, 1388, 1614, 304, 458, 6975, 454, 77990, 11153, 389, 6803, 13, 576, 1614, 374, 59294, 304, 3793, 315, 5302, 11, 892, 6777, 35915, 28137, 1995, 1948, 882, 7354, 11, 323, 11137, 892, 525, 279, 41667, 7332, 67595, 504, 279, 1946, 2168, 429, 4774, 311, 10339, 1128, 374, 304, 279, 2168, 13, 576, 5567, 38919, 264, 11514, 8894, 311, 69894, 33444, 10822, 1714, 553, 51813, 35915, 1995, 518, 1817, 6193, 315, 279, 1614, 13, 576, 7852, 16148, 315, 419, 12040, 4285, 4522, 9982, 279, 5567, 1182, 10078, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 5567, 11, 7469, 4193, 271, 34764, 565, 10294, 86324, 198 ]
[ 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
[ 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15 ]
16
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 32710, 533, 48075, 38710, 369, 35915, 29195, 323, 1909, 14875, 44378, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 5538, 1614, 311, 12322, 35915, 29195, 323, 1909, 14875, 13234, 369, 44378, 11, 448, 264, 3633, 311, 17544, 938, 5942, 13, 576, 1614, 5944, 374, 37661, 11, 714, 279, 35972, 15496, 374, 827, 62216, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 13553, 311, 12322, 2176, 279, 35915, 29195, 315, 17289, 323, 279, 18527, 315, 1909, 1495, 13234, 369, 44378, 1667, 264, 5538, 1614, 13, 576, 1614, 5944, 4977, 1075, 264, 37661, 5106, 311, 22729, 13, 358, 1075, 279, 3633, 311, 17544, 938, 5942, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 32710, 533, 48075, 38710, 369, 35915, 29195, 323, 1909, 14875, 44378, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 5538, 1614, 311, 12322, 35915, 29195, 323, 1909, 14875, 13234, 369, 44378, 11, 448, 264, 3633, 311, 17544, 938, 5942, 13, 576, 1614, 5944, 374, 37661, 11, 714, 279, 35972, 15496, 374, 827, 62216, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 13553, 311, 12322, 2176, 279, 35915, 29195, 315, 17289, 323, 279, 18527, 315, 1909, 1495, 13234, 369, 44378, 1667, 264, 5538, 1614, 13, 576, 1614, 5944, 4977, 1075, 264, 37661, 5106, 311, 22729, 13, 358, 1075, 279, 3633, 311, 17544, 938, 5942, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 32710, 533, 48075, 38710, 369, 35915, 29195, 323, 1909, 14875, 44378, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 5538, 1614, 311, 12322, 35915, 29195, 323, 1909, 14875, 13234, 369, 44378, 11, 448, 264, 3633, 311, 17544, 938, 5942, 13, 576, 1614, 5944, 374, 37661, 11, 714, 279, 35972, 15496, 374, 827, 62216, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 13553, 311, 12322, 2176, 279, 35915, 29195, 315, 17289, 323, 279, 18527, 315, 1909, 1495, 13234, 369, 44378, 1667, 264, 5538, 1614, 13, 576, 1614, 5944, 4977, 1075, 264, 37661, 5106, 311, 22729, 13, 358, 1075, 279, 3633, 311, 17544, 938, 5942, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 32710, 533, 48075, 38710, 369, 35915, 29195, 323, 1909, 14875, 44378, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 5538, 1614, 311, 12322, 35915, 29195, 323, 1909, 14875, 13234, 369, 44378, 11, 448, 264, 3633, 311, 17544, 938, 5942, 13, 576, 1614, 5944, 374, 37661, 11, 714, 279, 35972, 15496, 374, 827, 62216, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 13553, 311, 12322, 2176, 279, 35915, 29195, 315, 17289, 323, 279, 18527, 315, 1909, 1495, 13234, 369, 44378, 1667, 264, 5538, 1614, 13, 576, 1614, 5944, 4977, 1075, 264, 37661, 5106, 311, 22729, 13, 358, 1075, 279, 3633, 311, 17544, 938, 5942, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 74909, 45234, 33444, 1766, 1388, 1614, 369, 35915, 821, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 69894, 33444, 1766, 1388, 1614, 369, 39780, 35915, 19543, 304, 882, 8273, 658, 287, 821, 11, 51813, 17544, 938, 5942, 323, 27362, 5622, 5239, 35282, 14875, 44378, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 69894, 33444, 1766, 1388, 1614, 304, 279, 2266, 315, 264, 17544, 938, 1849, 13, 576, 1614, 646, 12322, 35915, 19543, 304, 882, 8273, 658, 287, 821, 11, 323, 1909, 14875, 1995, 320, 1499, 1550, 11591, 65151, 80591, 35414, 8153, 8, 646, 1463, 6334, 279, 5302, 323, 23722, 304, 4722, 13617, 13, 1096, 975, 646, 387, 19334, 438, 264, 11514, 8894, 315, 69894, 33444, 10822, 311, 35915, 821, 13, 44763, 11, 432, 374, 7040, 311, 1490, 1246, 311, 32335, 17544, 938, 5942, 1119, 33444, 69894, 4119, 320, 9033, 24609, 1948, 1584, 8153, 323, 58457, 8153, 701, 323, 1246, 279, 1614, 646, 2736, 5622, 5239, 35282, 14875, 44378, 13, 576, 990, 315, 38905, 39394, 748, 1714, 311, 44868, 279, 2477, 4668, 6491, 1584, 9142, 3793, 304, 23606, 220, 20, 374, 7040, 382, 34764, 565, 10294, 19216, 198, 8936, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 74909, 45234, 33444, 1766, 1388, 1614, 369, 35915, 821, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 69894, 33444, 1766, 1388, 1614, 369, 39780, 35915, 19543, 304, 882, 8273, 658, 287, 821, 11, 51813, 17544, 938, 5942, 323, 27362, 5622, 5239, 35282, 14875, 44378, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 69894, 33444, 1766, 1388, 1614, 304, 279, 2266, 315, 264, 17544, 938, 1849, 13, 576, 1614, 646, 12322, 35915, 19543, 304, 882, 8273, 658, 287, 821, 11, 323, 1909, 14875, 1995, 320, 1499, 1550, 11591, 65151, 80591, 35414, 8153, 8, 646, 1463, 6334, 279, 5302, 323, 23722, 304, 4722, 13617, 13, 1096, 975, 646, 387, 19334, 438, 264, 11514, 8894, 315, 69894, 33444, 10822, 311, 35915, 821, 13, 44763, 11, 432, 374, 7040, 311, 1490, 1246, 311, 32335, 17544, 938, 5942, 1119, 33444, 69894, 4119, 320, 9033, 24609, 1948, 1584, 8153, 323, 58457, 8153, 701, 323, 1246, 279, 1614, 646, 2736, 5622, 5239, 35282, 14875, 44378, 13, 576, 990, 315, 38905, 39394, 748, 1714, 311, 44868, 279, 2477, 4668, 6491, 1584, 9142, 3793, 304, 23606, 220, 20, 374, 7040, 382, 34764, 565, 10294, 19216, 198, 8936, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 74909, 45234, 33444, 1766, 1388, 1614, 369, 35915, 821, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 69894, 33444, 1766, 1388, 1614, 369, 39780, 35915, 19543, 304, 882, 8273, 658, 287, 821, 11, 51813, 17544, 938, 5942, 323, 27362, 5622, 5239, 35282, 14875, 44378, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 69894, 33444, 1766, 1388, 1614, 304, 279, 2266, 315, 264, 17544, 938, 1849, 13, 576, 1614, 646, 12322, 35915, 19543, 304, 882, 8273, 658, 287, 821, 11, 323, 1909, 14875, 1995, 320, 1499, 1550, 11591, 65151, 80591, 35414, 8153, 8, 646, 1463, 6334, 279, 5302, 323, 23722, 304, 4722, 13617, 13, 1096, 975, 646, 387, 19334, 438, 264, 11514, 8894, 315, 69894, 33444, 10822, 311, 35915, 821, 13, 44763, 11, 432, 374, 7040, 311, 1490, 1246, 311, 32335, 17544, 938, 5942, 1119, 33444, 69894, 4119, 320, 9033, 24609, 1948, 1584, 8153, 323, 58457, 8153, 701, 323, 1246, 279, 1614, 646, 2736, 5622, 5239, 35282, 14875, 44378, 13, 576, 990, 315, 38905, 39394, 748, 1714, 311, 44868, 279, 2477, 4668, 6491, 1584, 9142, 3793, 304, 23606, 220, 20, 374, 7040, 382, 34764, 565, 10294, 19216, 198, 8936, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 33464, 32710, 533, 48075, 38710, 271, 34764, 565, 13513, 8883, 198, 785, 4271, 315, 821, 13042, 304, 5538, 6832, 5413, 374, 5961, 5435, 311, 279, 4867, 1614, 25980, 389, 279, 43613, 26, 4764, 11, 8789, 1483, 8356, 12493, 1087, 525, 537, 12875, 315, 42368, 311, 279, 2266, 304, 279, 821, 13, 2014, 2621, 419, 4265, 11, 582, 29614, 5538, 59236, 10822, 14155, 11, 264, 69894, 1766, 1388, 1614, 429, 37869, 2673, 87587, 12493, 1087, 389, 279, 41667, 43613, 304, 264, 8741, 323, 2266, 56667, 11566, 13, 1096, 1614, 40155, 279, 35915, 19543, 304, 882, 8273, 658, 287, 17289, 323, 5711, 1909, 14875, 1995, 311, 1463, 6334, 279, 13042, 304, 4722, 13617, 13, 576, 90753, 315, 1039, 1614, 374, 264, 11514, 10324, 311, 23583, 33444, 5302, 315, 264, 8741, 1614, 26, 892, 374, 1483, 369, 4565, 32189, 13, 1205, 1083, 13036, 419, 4565, 32189, 2504, 311, 19131, 264, 74410, 729, 429, 40155, 23490, 57620, 43613, 13, 3197, 9251, 389, 264, 5810, 2766, 821, 11, 582, 1473, 429, 1039, 1714, 374, 2952, 311, 3960, 1550, 11591, 9124, 4419, 13, 1205, 1083, 19869, 279, 3476, 315, 279, 1909, 14875, 13234, 553, 9027, 279, 21765, 2090, 315, 279, 10981, 1614, 311, 32930, 11980, 382, 34764, 565, 13513, 55695, 198, 677, 2528, 6, 364, 17511, 82, 6, 364, 79, 21175, 6, 364, 32880, 59236, 6, 364, 34698, 533, 6, 364, 10473, 1248, 364, 691, 13042, 6, 364, 32880, 6832, 5413, 6, 364, 64233, 1614, 1248, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 74909, 45234, 33444, 1766, 1388, 1614, 369, 35915, 821, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 69894, 33444, 1766, 1388, 1614, 369, 39780, 35915, 19543, 304, 882, 8273, 658, 287, 821, 11, 51813, 17544, 938, 5942, 323, 27362, 5622, 5239, 35282, 14875, 44378, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 69894, 33444, 1766, 1388, 1614, 304, 279, 2266, 315, 264, 17544, 938, 1849, 13, 576, 1614, 646, 12322, 35915, 19543, 304, 882, 8273, 658, 287, 821, 11, 323, 1909, 14875, 1995, 320, 1499, 1550, 11591, 65151, 80591, 35414, 8153, 8, 646, 1463, 6334, 279, 5302, 323, 23722, 304, 4722, 13617, 13, 1096, 975, 646, 387, 19334, 438, 264, 11514, 8894, 315, 69894, 33444, 10822, 311, 35915, 821, 13, 44763, 11, 432, 374, 7040, 311, 1490, 1246, 311, 32335, 17544, 938, 5942, 1119, 33444, 69894, 4119, 320, 9033, 24609, 1948, 1584, 8153, 323, 58457, 8153, 701, 323, 1246, 279, 1614, 646, 2736, 5622, 5239, 35282, 14875, 44378, 13, 576, 990, 315, 38905, 39394, 748, 1714, 311, 44868, 279, 2477, 4668, 6491, 1584, 9142, 3793, 304, 23606, 220, 20, 374, 7040, 382, 34764, 565, 10294, 19216, 198, 8936, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 12111, 369, 6832, 6094, 323, 1651, 18906, 8177, 7798, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 12111, 369, 24303, 6832, 264, 8177, 6193, 369, 5248, 821, 6194, 323, 9463, 10238, 287, 432, 1119, 6094, 323, 1651, 18906, 7798, 13, 1084, 22111, 389, 279, 7299, 22503, 17774, 2356, 320, 66626, 39, 8, 12111, 553, 7842, 3398, 5029, 311, 2524, 13234, 1948, 6194, 323, 8177, 7798, 11, 73042, 1105, 4566, 20169, 36952, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 38919, 264, 501, 12111, 369, 24303, 6832, 264, 8177, 6193, 320, 50023, 13042, 8, 369, 5248, 821, 6194, 438, 1632, 438, 9463, 10238, 287, 429, 8177, 6193, 1119, 6094, 323, 1651, 18906, 7798, 13, 1084, 22111, 389, 279, 3681, 7299, 22503, 17774, 2356, 320, 66626, 39, 8, 12111, 553, 7842, 320, 88927, 278, 8, 3398, 5029, 429, 2484, 264, 3633, 389, 476, 1007, 1948, 264, 1651, 323, 8177, 2436, 323, 5711, 20169, 36952, 311, 3960, 1846, 3398, 5029, 13, 576, 25262, 374, 4428, 311, 42271, 39, 11, 448, 264, 8112, 17030, 389, 279, 10284, 7982, 1948, 6194, 323, 8177, 7798, 11, 12942, 304, 264, 2297, 304, 279, 52149, 369, 678, 5029, 323, 264, 501, 3398, 3890, 311, 54568, 389, 13, 576, 12111, 304, 279, 5567, 54625, 264, 1616, 311, 5648, 1424, 29729, 6094, 323, 869, 320, 1050, 18906, 8, 7798, 11, 892, 374, 458, 2989, 18527, 382, 34764, 565, 10294, 19216, 198, 785, 4522, 374, 11514, 323, 14230, 458, 2989, 3491, 11, 714, 35495, 311, 1008, 5413, 1410, 19681, 1181, 5421, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 5567, 594, 1887, 4522, 624, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 19710, 448, 28596, 12, 2589, 391, 1280, 17439, 22503, 1374, 59825, 12238, 319, 262, 39659, 2356, 82, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 53143, 1614, 369, 7299, 22503, 4565, 32189, 429, 9463, 38632, 2576, 1181, 5944, 311, 11075, 2664, 13042, 315, 821, 7982, 13, 576, 10981, 1614, 11, 5944, 25747, 391, 1280, 7299, 22503, 17774, 2356, 320, 7778, 5251, 53, 39, 701, 702, 3398, 5029, 429, 2524, 279, 3633, 1948, 8177, 7798, 323, 1946, 6194, 323, 46210, 279, 3398, 5733, 1393, 4862, 13, 47124, 938, 21204, 389, 27268, 323, 1931, 30084, 29425, 19869, 279, 5390, 7709, 315, 279, 16589, 5251, 53, 39, 7707, 311, 6350, 7299, 22503, 4565, 32189, 5413, 382, 34764, 565, 13513, 55695, 198, 677, 20304, 6, 364, 327, 59825, 2997, 17774, 2356, 82, 6, 364, 4439, 938, 1614, 1248, 364, 12753, 32189, 6, 364, 7837, 6, 364, 57134, 13042, 1248, 364, 691, 7982, 6, 364, 2528, 6, 364, 12982, 1645, 2356, 6, 364, 13786, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 12111, 369, 6832, 6094, 323, 1651, 18906, 8177, 7798, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 12111, 369, 24303, 6832, 264, 8177, 6193, 369, 5248, 821, 6194, 323, 9463, 10238, 287, 432, 1119, 6094, 323, 1651, 18906, 7798, 13, 1084, 22111, 389, 279, 7299, 22503, 17774, 2356, 320, 66626, 39, 8, 12111, 553, 7842, 3398, 5029, 311, 2524, 13234, 1948, 6194, 323, 8177, 7798, 11, 73042, 1105, 4566, 20169, 36952, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 38919, 264, 501, 12111, 369, 24303, 6832, 264, 8177, 6193, 320, 50023, 13042, 8, 369, 5248, 821, 6194, 438, 1632, 438, 9463, 10238, 287, 429, 8177, 6193, 1119, 6094, 323, 1651, 18906, 7798, 13, 1084, 22111, 389, 279, 3681, 7299, 22503, 17774, 2356, 320, 66626, 39, 8, 12111, 553, 7842, 320, 88927, 278, 8, 3398, 5029, 429, 2484, 264, 3633, 389, 476, 1007, 1948, 264, 1651, 323, 8177, 2436, 323, 5711, 20169, 36952, 311, 3960, 1846, 3398, 5029, 13, 576, 25262, 374, 4428, 311, 42271, 39, 11, 448, 264, 8112, 17030, 389, 279, 10284, 7982, 1948, 6194, 323, 8177, 7798, 11, 12942, 304, 264, 2297, 304, 279, 52149, 369, 678, 5029, 323, 264, 501, 3398, 3890, 311, 54568, 389, 13, 576, 12111, 304, 279, 5567, 54625, 264, 1616, 311, 5648, 1424, 29729, 6094, 323, 869, 320, 1050, 18906, 8, 7798, 11, 892, 374, 458, 2989, 18527, 382, 34764, 565, 10294, 19216, 198, 785, 4522, 374, 11514, 323, 14230, 458, 2989, 3491, 11, 714, 35495, 311, 1008, 5413, 1410, 19681, 1181, 5421, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 5567, 594, 1887, 4522, 624, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 19710, 448, 28596, 12, 2589, 391, 1280, 17439, 22503, 1374, 59825, 12238, 319, 262, 39659, 2356, 82, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 53143, 1614, 369, 7299, 22503, 4565, 32189, 429, 9463, 38632, 2576, 1181, 5944, 311, 11075, 2664, 13042, 315, 821, 7982, 13, 576, 10981, 1614, 11, 5944, 25747, 391, 1280, 7299, 22503, 17774, 2356, 320, 7778, 5251, 53, 39, 701, 702, 3398, 5029, 429, 2524, 279, 3633, 1948, 8177, 7798, 323, 1946, 6194, 323, 46210, 279, 3398, 5733, 1393, 4862, 13, 47124, 938, 21204, 389, 27268, 323, 1931, 30084, 29425, 19869, 279, 5390, 7709, 315, 279, 16589, 5251, 53, 39, 7707, 311, 6350, 7299, 22503, 4565, 32189, 5413, 382, 34764, 565, 13513, 55695, 198, 677, 20304, 6, 364, 327, 59825, 2997, 17774, 2356, 82, 6, 364, 4439, 938, 1614, 1248, 364, 12753, 32189, 6, 364, 7837, 6, 364, 57134, 13042, 1248, 364, 691, 7982, 6, 364, 2528, 6, 364, 12982, 1645, 2356, 6, 364, 13786, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 19710, 448, 28596, 12, 2589, 391, 1280, 17439, 22503, 1374, 59825, 12238, 319, 262, 39659, 2356, 82, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 53143, 1614, 369, 7299, 22503, 4565, 32189, 429, 9463, 38632, 2576, 1181, 5944, 311, 11075, 2664, 13042, 315, 821, 7982, 13, 576, 10981, 1614, 11, 5944, 25747, 391, 1280, 7299, 22503, 17774, 2356, 320, 7778, 5251, 53, 39, 701, 702, 3398, 5029, 429, 2524, 279, 3633, 1948, 8177, 7798, 323, 1946, 6194, 323, 46210, 279, 3398, 5733, 1393, 4862, 13, 47124, 938, 21204, 389, 27268, 323, 1931, 30084, 29425, 19869, 279, 5390, 7709, 315, 279, 16589, 5251, 53, 39, 7707, 311, 6350, 7299, 22503, 4565, 32189, 5413, 382, 34764, 565, 13513, 55695, 198, 677, 20304, 6, 364, 327, 59825, 2997, 17774, 2356, 82, 6, 364, 4439, 938, 1614, 1248, 364, 12753, 32189, 6, 364, 7837, 6, 364, 57134, 13042, 1248, 364, 691, 7982, 6, 364, 2528, 6, 364, 12982, 1645, 2356, 6, 364, 13786, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 12111, 369, 6832, 6094, 323, 1651, 18906, 8177, 7798, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 12111, 369, 24303, 6832, 264, 8177, 6193, 369, 5248, 821, 6194, 323, 9463, 10238, 287, 432, 1119, 6094, 323, 1651, 18906, 7798, 13, 1084, 22111, 389, 279, 7299, 22503, 17774, 2356, 320, 66626, 39, 8, 12111, 553, 7842, 3398, 5029, 311, 2524, 13234, 1948, 6194, 323, 8177, 7798, 11, 73042, 1105, 4566, 20169, 36952, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 38919, 264, 501, 12111, 369, 24303, 6832, 264, 8177, 6193, 320, 50023, 13042, 8, 369, 5248, 821, 6194, 438, 1632, 438, 9463, 10238, 287, 429, 8177, 6193, 1119, 6094, 323, 1651, 18906, 7798, 13, 1084, 22111, 389, 279, 3681, 7299, 22503, 17774, 2356, 320, 66626, 39, 8, 12111, 553, 7842, 320, 88927, 278, 8, 3398, 5029, 429, 2484, 264, 3633, 389, 476, 1007, 1948, 264, 1651, 323, 8177, 2436, 323, 5711, 20169, 36952, 311, 3960, 1846, 3398, 5029, 13, 576, 25262, 374, 4428, 311, 42271, 39, 11, 448, 264, 8112, 17030, 389, 279, 10284, 7982, 1948, 6194, 323, 8177, 7798, 11, 12942, 304, 264, 2297, 304, 279, 52149, 369, 678, 5029, 323, 264, 501, 3398, 3890, 311, 54568, 389, 13, 576, 12111, 304, 279, 5567, 54625, 264, 1616, 311, 5648, 1424, 29729, 6094, 323, 869, 320, 1050, 18906, 8, 7798, 11, 892, 374, 458, 2989, 18527, 382, 34764, 565, 10294, 19216, 198, 785, 4522, 374, 11514, 323, 14230, 458, 2989, 3491, 11, 714, 35495, 311, 1008, 5413, 1410, 19681, 1181, 5421, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 5567, 594, 1887, 4522, 624, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 19710, 448, 28596, 12, 2589, 391, 1280, 17439, 22503, 1374, 59825, 12238, 319, 262, 39659, 2356, 82, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 53143, 1614, 369, 7299, 22503, 4565, 32189, 429, 9463, 38632, 2576, 1181, 5944, 311, 11075, 2664, 13042, 315, 821, 7982, 13, 576, 10981, 1614, 11, 5944, 25747, 391, 1280, 7299, 22503, 17774, 2356, 320, 7778, 5251, 53, 39, 701, 702, 3398, 5029, 429, 2524, 279, 3633, 1948, 8177, 7798, 323, 1946, 6194, 323, 46210, 279, 3398, 5733, 1393, 4862, 13, 47124, 938, 21204, 389, 27268, 323, 1931, 30084, 29425, 19869, 279, 5390, 7709, 315, 279, 16589, 5251, 53, 39, 7707, 311, 6350, 7299, 22503, 4565, 32189, 5413, 382, 34764, 565, 13513, 55695, 198, 677, 20304, 6, 364, 327, 59825, 2997, 17774, 2356, 82, 6, 364, 4439, 938, 1614, 1248, 364, 12753, 32189, 6, 364, 7837, 6, 364, 57134, 13042, 1248, 364, 691, 7982, 6, 364, 2528, 6, 364, 12982, 1645, 2356, 6, 364, 13786, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 12111, 369, 6832, 6094, 323, 1651, 18906, 8177, 7798, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 12111, 369, 24303, 6832, 264, 8177, 6193, 369, 5248, 821, 6194, 323, 9463, 10238, 287, 432, 1119, 6094, 323, 1651, 18906, 7798, 13, 1084, 22111, 389, 279, 7299, 22503, 17774, 2356, 320, 66626, 39, 8, 12111, 553, 7842, 3398, 5029, 311, 2524, 13234, 1948, 6194, 323, 8177, 7798, 11, 73042, 1105, 4566, 20169, 36952, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 38919, 264, 501, 12111, 369, 24303, 6832, 264, 8177, 6193, 320, 50023, 13042, 8, 369, 5248, 821, 6194, 438, 1632, 438, 9463, 10238, 287, 429, 8177, 6193, 1119, 6094, 323, 1651, 18906, 7798, 13, 1084, 22111, 389, 279, 3681, 7299, 22503, 17774, 2356, 320, 66626, 39, 8, 12111, 553, 7842, 320, 88927, 278, 8, 3398, 5029, 429, 2484, 264, 3633, 389, 476, 1007, 1948, 264, 1651, 323, 8177, 2436, 323, 5711, 20169, 36952, 311, 3960, 1846, 3398, 5029, 13, 576, 25262, 374, 4428, 311, 42271, 39, 11, 448, 264, 8112, 17030, 389, 279, 10284, 7982, 1948, 6194, 323, 8177, 7798, 11, 12942, 304, 264, 2297, 304, 279, 52149, 369, 678, 5029, 323, 264, 501, 3398, 3890, 311, 54568, 389, 13, 576, 12111, 304, 279, 5567, 54625, 264, 1616, 311, 5648, 1424, 29729, 6094, 323, 869, 320, 1050, 18906, 8, 7798, 11, 892, 374, 458, 2989, 18527, 382, 34764, 565, 10294, 19216, 198, 785, 4522, 374, 11514, 323, 14230, 458, 2989, 3491, 11, 714, 35495, 311, 1008, 5413, 1410, 19681, 1181, 5421, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 8660, 315, 279, 5567, 594, 1887, 4522, 624, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 98637, 315, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 369, 4565, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 28878, 471, 632, 11, 2030, 74612, 53143, 1614, 2598, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 320, 7778, 5251, 53, 39, 8, 369, 2745, 344, 570, 6832, 13, 26048, 279, 3681, 2745, 344, 570, 17774, 2356, 320, 66626, 39, 701, 16589, 5251, 53, 39, 7225, 33061, 9434, 323, 8177, 8153, 448, 3398, 5029, 311, 13216, 1651, 43718, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 29614, 264, 28878, 471, 632, 11, 2030, 74612, 53143, 1614, 369, 2745, 344, 570, 6832, 11, 2598, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 320, 7778, 5251, 53, 39, 568, 576, 1614, 374, 3118, 389, 862, 6788, 1614, 2598, 2745, 344, 570, 17774, 2356, 320, 66626, 39, 8, 320, 42, 524, 5, 1143, 6728, 11, 220, 17, 15, 16, 16, 8, 1380, 8177, 8153, 1033, 18663, 1119, 264, 6094, 738, 323, 1651, 18906, 7289, 13, 26048, 42271, 39, 892, 20975, 8891, 82, 12822, 11, 279, 9434, 323, 8177, 8153, 304, 279, 10981, 16589, 5251, 53, 39, 525, 7225, 8433, 311, 1817, 1008, 448, 3398, 5029, 274, 15159, 92697, 92, 18860, 1246, 4363, 279, 502, 7563, 8177, 4982, 33210, 311, 279, 595, 7563, 1651, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 19710, 448, 28596, 12, 2589, 391, 1280, 17439, 22503, 1374, 59825, 12238, 319, 262, 39659, 2356, 82, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 53143, 1614, 369, 7299, 22503, 4565, 32189, 429, 9463, 38632, 2576, 1181, 5944, 311, 11075, 2664, 13042, 315, 821, 7982, 13, 576, 10981, 1614, 11, 5944, 25747, 391, 1280, 7299, 22503, 17774, 2356, 320, 7778, 5251, 53, 39, 701, 702, 3398, 5029, 429, 2524, 279, 3633, 1948, 8177, 7798, 323, 1946, 6194, 323, 46210, 279, 3398, 5733, 1393, 4862, 13, 47124, 938, 21204, 389, 27268, 323, 1931, 30084, 29425, 19869, 279, 5390, 7709, 315, 279, 16589, 5251, 53, 39, 7707, 311, 6350, 7299, 22503, 4565, 32189, 5413, 382, 34764, 565, 13513, 55695, 198, 677, 20304, 6, 364, 327, 59825, 2997, 17774, 2356, 82, 6, 364, 4439, 938, 1614, 1248, 364, 12753, 32189, 6, 364, 7837, 6, 364, 57134, 13042, 1248, 364, 691, 7982, 6, 364, 2528, 6, 364, 12982, 1645, 2356, 6, 364, 13786, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 98637, 315, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 369, 4565, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 28878, 471, 632, 11, 2030, 74612, 53143, 1614, 2598, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 320, 7778, 5251, 53, 39, 8, 369, 2745, 344, 570, 6832, 13, 26048, 279, 3681, 2745, 344, 570, 17774, 2356, 320, 66626, 39, 701, 16589, 5251, 53, 39, 7225, 33061, 9434, 323, 8177, 8153, 448, 3398, 5029, 311, 13216, 1651, 43718, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 29614, 264, 28878, 471, 632, 11, 2030, 74612, 53143, 1614, 369, 2745, 344, 570, 6832, 11, 2598, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 320, 7778, 5251, 53, 39, 568, 576, 1614, 374, 3118, 389, 862, 6788, 1614, 2598, 2745, 344, 570, 17774, 2356, 320, 66626, 39, 8, 320, 42, 524, 5, 1143, 6728, 11, 220, 17, 15, 16, 16, 8, 1380, 8177, 8153, 1033, 18663, 1119, 264, 6094, 738, 323, 1651, 18906, 7289, 13, 26048, 42271, 39, 892, 20975, 8891, 82, 12822, 11, 279, 9434, 323, 8177, 8153, 304, 279, 10981, 16589, 5251, 53, 39, 525, 7225, 8433, 311, 1817, 1008, 448, 3398, 5029, 274, 15159, 92697, 92, 18860, 1246, 4363, 279, 502, 7563, 8177, 4982, 33210, 311, 279, 595, 7563, 1651, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 19710, 448, 28596, 12, 2589, 391, 1280, 17439, 22503, 1374, 59825, 12238, 319, 262, 39659, 2356, 82, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 53143, 1614, 369, 7299, 22503, 4565, 32189, 429, 9463, 38632, 2576, 1181, 5944, 311, 11075, 2664, 13042, 315, 821, 7982, 13, 576, 10981, 1614, 11, 5944, 25747, 391, 1280, 7299, 22503, 17774, 2356, 320, 7778, 5251, 53, 39, 701, 702, 3398, 5029, 429, 2524, 279, 3633, 1948, 8177, 7798, 323, 1946, 6194, 323, 46210, 279, 3398, 5733, 1393, 4862, 13, 47124, 938, 21204, 389, 27268, 323, 1931, 30084, 29425, 19869, 279, 5390, 7709, 315, 279, 16589, 5251, 53, 39, 7707, 311, 6350, 7299, 22503, 4565, 32189, 5413, 382, 34764, 565, 13513, 55695, 198, 677, 20304, 6, 364, 327, 59825, 2997, 17774, 2356, 82, 6, 364, 4439, 938, 1614, 1248, 364, 12753, 32189, 6, 364, 7837, 6, 364, 57134, 13042, 1248, 364, 691, 7982, 6, 364, 2528, 6, 364, 12982, 1645, 2356, 6, 364, 13786, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 19710, 448, 28596, 12, 2589, 391, 1280, 17439, 22503, 1374, 59825, 12238, 319, 262, 39659, 2356, 82, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 53143, 1614, 369, 7299, 22503, 4565, 32189, 429, 9463, 38632, 2576, 1181, 5944, 311, 11075, 2664, 13042, 315, 821, 7982, 13, 576, 10981, 1614, 11, 5944, 25747, 391, 1280, 7299, 22503, 17774, 2356, 320, 7778, 5251, 53, 39, 701, 702, 3398, 5029, 429, 2524, 279, 3633, 1948, 8177, 7798, 323, 1946, 6194, 323, 46210, 279, 3398, 5733, 1393, 4862, 13, 47124, 938, 21204, 389, 27268, 323, 1931, 30084, 29425, 19869, 279, 5390, 7709, 315, 279, 16589, 5251, 53, 39, 7707, 311, 6350, 7299, 22503, 4565, 32189, 5413, 382, 34764, 565, 13513, 55695, 198, 677, 20304, 6, 364, 327, 59825, 2997, 17774, 2356, 82, 6, 364, 4439, 938, 1614, 1248, 364, 12753, 32189, 6, 364, 7837, 6, 364, 57134, 13042, 1248, 364, 691, 7982, 6, 364, 2528, 6, 364, 12982, 1645, 2356, 6, 364, 13786, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 98637, 315, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 369, 4565, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 28878, 471, 632, 11, 2030, 74612, 53143, 1614, 2598, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 320, 7778, 5251, 53, 39, 8, 369, 2745, 344, 570, 6832, 13, 26048, 279, 3681, 2745, 344, 570, 17774, 2356, 320, 66626, 39, 701, 16589, 5251, 53, 39, 7225, 33061, 9434, 323, 8177, 8153, 448, 3398, 5029, 311, 13216, 1651, 43718, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 29614, 264, 28878, 471, 632, 11, 2030, 74612, 53143, 1614, 369, 2745, 344, 570, 6832, 11, 2598, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 320, 7778, 5251, 53, 39, 568, 576, 1614, 374, 3118, 389, 862, 6788, 1614, 2598, 2745, 344, 570, 17774, 2356, 320, 66626, 39, 8, 320, 42, 524, 5, 1143, 6728, 11, 220, 17, 15, 16, 16, 8, 1380, 8177, 8153, 1033, 18663, 1119, 264, 6094, 738, 323, 1651, 18906, 7289, 13, 26048, 42271, 39, 892, 20975, 8891, 82, 12822, 11, 279, 9434, 323, 8177, 8153, 304, 279, 10981, 16589, 5251, 53, 39, 525, 7225, 8433, 311, 1817, 1008, 448, 3398, 5029, 274, 15159, 92697, 92, 18860, 1246, 4363, 279, 502, 7563, 8177, 4982, 33210, 311, 279, 595, 7563, 1651, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 47467, 19710, 448, 28596, 12, 2589, 391, 1280, 17439, 22503, 1374, 59825, 12238, 319, 262, 39659, 2356, 82, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 53143, 1614, 369, 7299, 22503, 4565, 32189, 429, 9463, 38632, 2576, 1181, 5944, 311, 11075, 2664, 13042, 315, 821, 7982, 13, 576, 10981, 1614, 11, 5944, 25747, 391, 1280, 7299, 22503, 17774, 2356, 320, 7778, 5251, 53, 39, 701, 702, 3398, 5029, 429, 2524, 279, 3633, 1948, 8177, 7798, 323, 1946, 6194, 323, 46210, 279, 3398, 5733, 1393, 4862, 13, 47124, 938, 21204, 389, 27268, 323, 1931, 30084, 29425, 19869, 279, 5390, 7709, 315, 279, 16589, 5251, 53, 39, 7707, 311, 6350, 7299, 22503, 4565, 32189, 5413, 382, 34764, 565, 13513, 55695, 198, 677, 20304, 6, 364, 327, 59825, 2997, 17774, 2356, 82, 6, 364, 4439, 938, 1614, 1248, 364, 12753, 32189, 6, 364, 7837, 6, 364, 57134, 13042, 1248, 364, 691, 7982, 6, 364, 2528, 6, 364, 12982, 1645, 2356, 6, 364, 13786, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 98637, 315, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 369, 4565, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 28878, 471, 632, 11, 2030, 74612, 53143, 1614, 2598, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 320, 7778, 5251, 53, 39, 8, 369, 2745, 344, 570, 6832, 13, 26048, 279, 3681, 2745, 344, 570, 17774, 2356, 320, 66626, 39, 701, 16589, 5251, 53, 39, 7225, 33061, 9434, 323, 8177, 8153, 448, 3398, 5029, 311, 13216, 1651, 43718, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 29614, 264, 28878, 471, 632, 11, 2030, 74612, 53143, 1614, 369, 2745, 344, 570, 6832, 11, 2598, 5944, 25747, 391, 1280, 2745, 344, 570, 17774, 2356, 320, 7778, 5251, 53, 39, 568, 576, 1614, 374, 3118, 389, 862, 6788, 1614, 2598, 2745, 344, 570, 17774, 2356, 320, 66626, 39, 8, 320, 42, 524, 5, 1143, 6728, 11, 220, 17, 15, 16, 16, 8, 1380, 8177, 8153, 1033, 18663, 1119, 264, 6094, 738, 323, 1651, 18906, 7289, 13, 26048, 42271, 39, 892, 20975, 8891, 82, 12822, 11, 279, 9434, 323, 8177, 8153, 304, 279, 10981, 16589, 5251, 53, 39, 525, 7225, 8433, 311, 1817, 1008, 448, 3398, 5029, 274, 15159, 92697, 92, 18860, 1246, 4363, 279, 502, 7563, 8177, 4982, 33210, 311, 279, 595, 7563, 1651, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1806, 12776, 77990, 18266, 6832, 4566, 17457, 41204, 448, 4270, 5679, 11030, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 6975, 454, 77990, 18266, 6832, 5486, 1667, 17457, 41204, 448, 4270, 5679, 11030, 323, 21963, 50078, 18266, 11, 50197, 7192, 28636, 323, 16902, 25185, 13, 1084, 374, 10449, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 382, 34764, 565, 10294, 8883, 198, 641, 419, 5567, 11, 279, 12014, 2908, 6975, 454, 77990, 18266, 6832, 438, 264, 17457, 41204, 3491, 448, 264, 4270, 5679, 11030, 67298, 3118, 389, 21963, 50078, 18266, 13, 2379, 990, 7192, 28636, 1714, 323, 16902, 12111, 369, 48089, 264, 1714, 429, 1231, 387, 6509, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 448, 5089, 43567, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1806, 12776, 77990, 18266, 6832, 4566, 17457, 41204, 448, 4270, 5679, 11030, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 6975, 454, 77990, 18266, 6832, 5486, 1667, 17457, 41204, 448, 4270, 5679, 11030, 323, 21963, 50078, 18266, 11, 50197, 7192, 28636, 323, 16902, 25185, 13, 1084, 374, 10449, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 382, 34764, 565, 10294, 8883, 198, 641, 419, 5567, 11, 279, 12014, 2908, 6975, 454, 77990, 18266, 6832, 438, 264, 17457, 41204, 3491, 448, 264, 4270, 5679, 11030, 67298, 3118, 389, 21963, 50078, 18266, 13, 2379, 990, 7192, 28636, 1714, 323, 16902, 12111, 369, 48089, 264, 1714, 429, 1231, 387, 6509, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 448, 5089, 43567, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1806, 12776, 77990, 18266, 6832, 4566, 17457, 41204, 448, 4270, 5679, 11030, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 6975, 454, 77990, 18266, 6832, 5486, 1667, 17457, 41204, 448, 4270, 5679, 11030, 323, 21963, 50078, 18266, 11, 50197, 7192, 28636, 323, 16902, 25185, 13, 1084, 374, 10449, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 382, 34764, 565, 10294, 8883, 198, 641, 419, 5567, 11, 279, 12014, 2908, 6975, 454, 77990, 18266, 6832, 438, 264, 17457, 41204, 3491, 448, 264, 4270, 5679, 11030, 67298, 3118, 389, 21963, 50078, 18266, 13, 2379, 990, 7192, 28636, 1714, 323, 16902, 12111, 369, 48089, 264, 1714, 429, 1231, 387, 6509, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 448, 5089, 43567, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1806, 12776, 77990, 18266, 6832, 4566, 17457, 41204, 448, 4270, 5679, 11030, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 6975, 454, 77990, 18266, 6832, 5486, 1667, 17457, 41204, 448, 4270, 5679, 11030, 323, 21963, 50078, 18266, 11, 50197, 7192, 28636, 323, 16902, 25185, 13, 1084, 374, 10449, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 382, 34764, 565, 10294, 8883, 198, 641, 419, 5567, 11, 279, 12014, 2908, 6975, 454, 77990, 18266, 6832, 438, 264, 17457, 41204, 3491, 448, 264, 4270, 5679, 11030, 67298, 3118, 389, 21963, 50078, 18266, 13, 2379, 990, 7192, 28636, 1714, 323, 16902, 12111, 369, 48089, 264, 1714, 429, 1231, 387, 6509, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 448, 5089, 43567, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 17457, 41204, 1667, 4270, 5679, 11030, 323, 48568, 11980, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 21765, 17457, 41204, 1714, 553, 33479, 279, 17457, 438, 264, 1985, 315, 1378, 9489, 42685, 25, 825, 504, 4270, 5679, 11030, 369, 3347, 32420, 883, 333, 18431, 323, 2441, 504, 48568, 42685, 369, 11980, 13, 576, 5486, 5711, 5274, 18589, 9794, 1487, 12, 61130, 323, 32085, 367, 55525, 2022, 11, 448, 42964, 9904, 369, 25262, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 21765, 12111, 369, 17457, 41204, 13, 576, 1887, 4522, 374, 311, 1614, 279, 17457, 1119, 264, 1985, 315, 1378, 9489, 42685, 25, 825, 504, 264, 4270, 5679, 11030, 41204, 320, 1958, 33479, 264, 3347, 55887, 72829, 8, 323, 279, 1008, 504, 264, 48568, 7982, 320, 1958, 33479, 11980, 568, 44763, 11, 5274, 18589, 9794, 1487, 12, 61130, 374, 1483, 438, 279, 16538, 729, 315, 4270, 5679, 3241, 67298, 11, 323, 279, 10284, 1614, 646, 387, 33340, 1667, 32085, 367, 55525, 2022, 12111, 13, 758, 5256, 11, 279, 5567, 18404, 458, 42964, 6291, 369, 386, 29208, 1667, 28724, 6810, 76807, 13, 576, 12014, 1083, 29614, 3807, 566, 324, 5589, 311, 2621, 2205, 3387, 7523, 5322, 323, 311, 7269, 54480, 15024, 13, 576, 1887, 6708, 320, 970, 5274, 18589, 9794, 1487, 12, 61130, 323, 28502, 8314, 279, 17457, 438, 264, 1985, 315, 4270, 5679, 11030, 67298, 323, 264, 48568, 7982, 8, 525, 1602, 7040, 13, 576, 1714, 374, 1632, 26664, 11, 323, 279, 10916, 9904, 525, 5008, 25777, 323, 9355, 7481, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 17457, 41204, 1667, 4270, 5679, 11030, 323, 48568, 11980, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 21765, 17457, 41204, 1714, 553, 33479, 279, 17457, 438, 264, 1985, 315, 1378, 9489, 42685, 25, 825, 504, 4270, 5679, 11030, 369, 3347, 32420, 883, 333, 18431, 323, 2441, 504, 48568, 42685, 369, 11980, 13, 576, 5486, 5711, 5274, 18589, 9794, 1487, 12, 61130, 323, 32085, 367, 55525, 2022, 11, 448, 42964, 9904, 369, 25262, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 21765, 12111, 369, 17457, 41204, 13, 576, 1887, 4522, 374, 311, 1614, 279, 17457, 1119, 264, 1985, 315, 1378, 9489, 42685, 25, 825, 504, 264, 4270, 5679, 11030, 41204, 320, 1958, 33479, 264, 3347, 55887, 72829, 8, 323, 279, 1008, 504, 264, 48568, 7982, 320, 1958, 33479, 11980, 568, 44763, 11, 5274, 18589, 9794, 1487, 12, 61130, 374, 1483, 438, 279, 16538, 729, 315, 4270, 5679, 3241, 67298, 11, 323, 279, 10284, 1614, 646, 387, 33340, 1667, 32085, 367, 55525, 2022, 12111, 13, 758, 5256, 11, 279, 5567, 18404, 458, 42964, 6291, 369, 386, 29208, 1667, 28724, 6810, 76807, 13, 576, 12014, 1083, 29614, 3807, 566, 324, 5589, 311, 2621, 2205, 3387, 7523, 5322, 323, 311, 7269, 54480, 15024, 13, 576, 1887, 6708, 320, 970, 5274, 18589, 9794, 1487, 12, 61130, 323, 28502, 8314, 279, 17457, 438, 264, 1985, 315, 4270, 5679, 11030, 67298, 323, 264, 48568, 7982, 8, 525, 1602, 7040, 13, 576, 1714, 374, 1632, 26664, 11, 323, 279, 10916, 9904, 525, 5008, 25777, 323, 9355, 7481, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11 ]
[ 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
[ 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 17457, 41204, 1667, 4270, 5679, 11030, 323, 48568, 11980, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 21765, 17457, 41204, 1714, 553, 33479, 279, 17457, 438, 264, 1985, 315, 1378, 9489, 42685, 25, 825, 504, 4270, 5679, 11030, 369, 3347, 32420, 883, 333, 18431, 323, 2441, 504, 48568, 42685, 369, 11980, 13, 576, 5486, 5711, 5274, 18589, 9794, 1487, 12, 61130, 323, 32085, 367, 55525, 2022, 11, 448, 42964, 9904, 369, 25262, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 21765, 12111, 369, 17457, 41204, 13, 576, 1887, 4522, 374, 311, 1614, 279, 17457, 1119, 264, 1985, 315, 1378, 9489, 42685, 25, 825, 504, 264, 4270, 5679, 11030, 41204, 320, 1958, 33479, 264, 3347, 55887, 72829, 8, 323, 279, 1008, 504, 264, 48568, 7982, 320, 1958, 33479, 11980, 568, 44763, 11, 5274, 18589, 9794, 1487, 12, 61130, 374, 1483, 438, 279, 16538, 729, 315, 4270, 5679, 3241, 67298, 11, 323, 279, 10284, 1614, 646, 387, 33340, 1667, 32085, 367, 55525, 2022, 12111, 13, 758, 5256, 11, 279, 5567, 18404, 458, 42964, 6291, 369, 386, 29208, 1667, 28724, 6810, 76807, 13, 576, 12014, 1083, 29614, 3807, 566, 324, 5589, 311, 2621, 2205, 3387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 17457, 41204, 1667, 4270, 5679, 11030, 323, 48568, 11980, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 21765, 17457, 41204, 1714, 553, 33479, 279, 17457, 438, 264, 1985, 315, 1378, 9489, 42685, 25, 825, 504, 4270, 5679, 11030, 369, 3347, 32420, 883, 333, 18431, 323, 2441, 504, 48568, 42685, 369, 11980, 13, 576, 5486, 5711, 5274, 18589, 9794, 1487, 12, 61130, 323, 32085, 367, 55525, 2022, 11, 448, 42964, 9904, 369, 25262, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 21765, 12111, 369, 17457, 41204, 13, 576, 1887, 4522, 374, 311, 1614, 279, 17457, 1119, 264, 1985, 315, 1378, 9489, 42685, 25, 825, 504, 264, 4270, 5679, 11030, 41204, 320, 1958, 33479, 264, 3347, 55887, 72829, 8, 323, 279, 1008, 504, 264, 48568, 7982, 320, 1958, 33479, 11980, 568, 44763, 11, 5274, 18589, 9794, 1487, 12, 61130, 374, 1483, 438, 279, 16538, 729, 315, 4270, 5679, 3241, 67298, 11, 323, 279, 10284, 1614, 646, 387, 33340, 1667, 32085, 367, 55525, 2022, 12111, 13, 758, 5256, 11, 279, 5567, 18404, 458, 42964, 6291, 369, 386, 29208, 1667, 28724, 6810, 76807, 13, 576, 12014, 1083, 29614, 3807, 566, 324, 5589, 311, 2621, 2205, 3387 ]
[ 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
[ 7523, 5322, 323, 311, 7269, 54480, 15024, 13, 576, 1887, 6708, 320, 970, 5274, 18589, 9794, 1487, 12, 61130, 323, 28502, 8314, 279, 17457, 438, 264, 1985, 315, 4270, 5679, 11030, 67298, 323, 264, 48568, 7982, 8, 525, 1602, 7040, 13, 576, 1714, 374, 1632, 26664, 11, 323, 279, 10916, 9904, 525, 5008, 25777, 323, 9355, 7481, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7523, 5322, 323, 311, 7269, 54480, 15024, 13, 576, 1887, 6708, 320, 970, 5274, 18589, 9794, 1487, 12, 61130, 323, 28502, 8314, 279, 17457, 438, 264, 1985, 315, 4270, 5679, 11030, 67298, 323, 264, 48568, 7982, 8, 525, 1602, 7040, 13, 576, 1714, 374, 1632, 26664, 11, 323, 279, 10916, 9904, 525, 5008, 25777, 323, 9355, 7481, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1806, 12776, 77990, 8774, 5578, 18320, 448, 16902, 323, 55795, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 6975, 454, 77990, 8774, 5578, 18320, 320, 43, 5049, 8, 12626, 429, 17530, 4270, 5679, 3241, 59308, 553, 87178, 5274, 18589, 9794, 17457, 13, 1084, 38919, 458, 8894, 34171, 4270, 5679, 3241, 323, 3644, 48568, 42685, 11, 323, 28405, 279, 25185, 369, 3460, 29425, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 10981, 458, 6975, 454, 77990, 2205, 3692, 6358, 320, 43, 5049, 8, 12626, 429, 17530, 279, 4270, 5679, 3241, 59308, 4566, 87178, 279, 5274, 18589, 9794, 17457, 13, 576, 6770, 12111, 374, 458, 16902, 10324, 448, 7877, 1352, 8837, 13, 3776, 4623, 8894, 315, 444, 5049, 572, 11523, 11, 892, 21484, 1378, 12557, 65266, 89716, 11, 825, 374, 4270, 5679, 3241, 320, 6280, 48568, 8, 323, 279, 1008, 374, 264, 3644, 48568, 7982, 13, 85759, 1033, 6188, 311, 5452, 705, 279, 25185, 311, 3460, 821, 7289, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3685, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1806, 12776, 77990, 8774, 5578, 18320, 448, 16902, 323, 55795, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 6975, 454, 77990, 8774, 5578, 18320, 320, 43, 5049, 8, 12626, 429, 17530, 4270, 5679, 3241, 59308, 553, 87178, 5274, 18589, 9794, 17457, 13, 1084, 38919, 458, 8894, 34171, 4270, 5679, 3241, 323, 3644, 48568, 42685, 11, 323, 28405, 279, 25185, 369, 3460, 29425, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 10981, 458, 6975, 454, 77990, 2205, 3692, 6358, 320, 43, 5049, 8, 12626, 429, 17530, 279, 4270, 5679, 3241, 59308, 4566, 87178, 279, 5274, 18589, 9794, 17457, 13, 576, 6770, 12111, 374, 458, 16902, 10324, 448, 7877, 1352, 8837, 13, 3776, 4623, 8894, 315, 444, 5049, 572, 11523, 11, 892, 21484, 1378, 12557, 65266, 89716, 11, 825, 374, 4270, 5679, 3241, 320, 6280, 48568, 8, 323, 279, 1008, 374, 264, 3644, 48568, 7982, 13, 85759, 1033, 6188, 311, 5452, 705, 279, 25185, 311, 3460, 821, 7289, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3685, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1806, 12776, 77990, 8774, 5578, 18320, 448, 16902, 323, 55795, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 6975, 454, 77990, 8774, 5578, 18320, 320, 43, 5049, 8, 12626, 429, 17530, 4270, 5679, 3241, 59308, 553, 87178, 5274, 18589, 9794, 17457, 13, 1084, 38919, 458, 8894, 34171, 4270, 5679, 3241, 323, 3644, 48568, 42685, 11, 323, 28405, 279, 25185, 369, 3460, 29425, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 10981, 458, 6975, 454, 77990, 2205, 3692, 6358, 320, 43, 5049, 8, 12626, 429, 17530, 279, 4270, 5679, 3241, 59308, 4566, 87178, 279, 5274, 18589, 9794, 17457, 13, 576, 6770, 12111, 374, 458, 16902, 10324, 448, 7877, 1352, 8837, 13, 3776, 4623, 8894, 315, 444, 5049, 572, 11523, 11, 892, 21484, 1378, 12557, 65266, 89716, 11, 825, 374, 4270, 5679, 3241, 320, 6280, 48568, 8, 323, 279, 1008, 374, 264, 3644, 48568, 7982, 13, 85759, 1033, 6188, 311, 5452, 705, 279, 25185, 311, 3460, 821, 7289, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3685, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 7319, 5578, 18320, 271, 34764, 565, 13513, 8883, 198, 26343, 17457, 41204, 11, 264, 5202, 5849, 13, 4270, 5679, 11030, 11, 374, 264, 5411, 17457, 41204, 1714, 11, 892, 646, 387, 1483, 369, 88160, 17984, 476, 58354, 13, 3085, 2745, 55422, 821, 11, 1181, 5068, 374, 16916, 88127, 389, 279, 18266, 1483, 2878, 279, 10001, 13, 7496, 6788, 975, 702, 10735, 389, 6832, 1172, 279, 33394, 315, 279, 10001, 320, 72, 1734, 2572, 264, 17274, 12557, 65266, 8168, 568, 758, 419, 5567, 11, 582, 29614, 311, 3960, 264, 2480, 21963, 50078, 18266, 1526, 458, 30193, 13398, 65964, 320, 2716, 8, 10324, 11, 892, 646, 387, 3884, 438, 458, 6975, 454, 77990, 44016, 311, 39342, 3692, 6358, 320, 45, 5049, 568, 758, 1973, 311, 5648, 916, 6276, 1280, 448, 264, 7225, 2477, 903, 16340, 17457, 67298, 304, 1550, 15336, 11, 582, 1083, 2908, 264, 18267, 72966, 16340, 48568, 12, 4272, 5679, 17457, 1614, 11, 1380, 1045, 315, 279, 7332, 525, 1614, 832, 1526, 264, 52158, 48568, 17457, 11, 1393, 3800, 525, 1614, 832, 1526, 4270, 5679, 11030, 13, 1752, 1493, 1378, 4119, 11, 16902, 11508, 311, 4285, 7877, 8460, 8837, 3118, 389, 6172, 1529, 35279, 323, 28724, 957, 28502, 27436, 13, 17375, 11, 582, 3042, 264, 95240, 56204, 12859, 892, 6147, 369, 279, 990, 315, 419, 1714, 304, 264, 3460, 12934, 6243, 382, 34764, 565, 13513, 55695, 198, 677, 1732, 5679, 11030, 6, 364, 23248, 6, 364, 43262, 6, 364, 43248, 17457, 41204, 1248, 364, 411, 5623, 17984, 6, 364, 564, 36694, 6, 364, 25875, 55422, 821, 6, 364, 61244, 1248, 364, 265, 742, 517, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 1806, 12776, 77990, 8774, 5578, 18320, 448, 16902, 323, 55795, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 6975, 454, 77990, 8774, 5578, 18320, 320, 43, 5049, 8, 12626, 429, 17530, 4270, 5679, 3241, 59308, 553, 87178, 5274, 18589, 9794, 17457, 13, 1084, 38919, 458, 8894, 34171, 4270, 5679, 3241, 323, 3644, 48568, 42685, 11, 323, 28405, 279, 25185, 369, 3460, 29425, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 10981, 458, 6975, 454, 77990, 2205, 3692, 6358, 320, 43, 5049, 8, 12626, 429, 17530, 279, 4270, 5679, 3241, 59308, 4566, 87178, 279, 5274, 18589, 9794, 17457, 13, 576, 6770, 12111, 374, 458, 16902, 10324, 448, 7877, 1352, 8837, 13, 3776, 4623, 8894, 315, 444, 5049, 572, 11523, 11, 892, 21484, 1378, 12557, 65266, 89716, 11, 825, 374, 4270, 5679, 3241, 320, 6280, 48568, 8, 323, 279, 1008, 374, 264, 3644, 48568, 7982, 13, 85759, 1033, 6188, 311, 5452, 705, 279, 25185, 311, 3460, 821, 7289, 382, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3685, 279, 25505, 12171, 11, 714, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2008, 14421, 52970, 311, 7269, 20169, 36952, 55441, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 7842, 264, 26943, 5733, 311, 2477, 61299, 1361, 304, 29728, 14155, 311, 1281, 279, 37236, 3793, 315, 279, 472, 74329, 12318, 38572, 8085, 6172, 12128, 311, 30326, 11, 4752, 389, 3681, 975, 389, 5702, 323, 30232, 4126, 287, 13, 576, 12014, 23643, 279, 2456, 315, 1493, 52970, 389, 279, 472, 74329, 6172, 11, 20169, 17961, 11, 323, 55441, 4628, 304, 5257, 3922, 77235, 382, 34764, 565, 10294, 8883, 198, 641, 508, 16, 15, 1125, 279, 12014, 1030, 8597, 10981, 46041, 279, 3922, 1685, 17366, 2022, 11, 304, 1973, 311, 5978, 7168, 82996, 8177, 4982, 92495, 3941, 4862, 10295, 320, 7175, 4126, 287, 8, 323, 7168, 82996, 42545, 320, 96512, 4126, 287, 568, 1096, 572, 16994, 553, 31918, 10706, 12, 49986, 1948, 13617, 326, 12, 16, 323, 326, 10, 16, 323, 7842, 13482, 6813, 311, 279, 2477, 8447, 10748, 315, 6193, 326, 25, 1493, 501, 5029, 7629, 944, 49250, 4764, 11, 714, 4518, 525, 23368, 6315, 37110, 311, 28162, 5702, 323, 30232, 4126, 287, 13, 4220, 6708, 1030, 15102, 1012, 10981, 553, 5016, 97957, 42970, 304, 6788, 975, 11, 448, 508, 16, 15, 60, 9027, 429, 1493, 28762, 11941, 12944, 55441, 315, 5538, 14155, 1393, 1083, 3259, 279, 3633, 311, 2086, 1973, 5413, 13, 758, 419, 975, 11, 279, 12014, 10981, 7842, 458, 4960, 26943, 5733, 311, 279, 2477, 8447, 10748, 11, 892, 374, 23368, 304, 1973, 311, 1281, 279, 37236, 3793, 315, 279, 472, 74329, 608, 35504, 8085, 6172, 12128, 311, 30326, 13, 576, 12014, 3920, 279, 2456, 315, 1493, 220, 18, 52970, 553, 25, 320, 16, 8, 28990, 5888, 315, 279, 472, 74329, 6172, 448, 323, 2041, 52970, 11, 438, 1632, 438, 20314, 6010, 315, 279, 12942, 52149, 311, 220, 17, 303, 1973, 52149, 26, 320, 17, 8, 26297, 279, 8084, 23850, 55441, 4628, 369, 264, 220, 17, 323, 220, 18, 6193, 94891, 82, 389, 34995, 3846, 323, 5499, 26, 320, 18, 8, 20956, 1181, 2456, 389, 264, 5538, 3233, 12, 27008, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 5567, 11, 7469, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16644, 287, 794, 65954, 53107, 6974, 10440, 12, 4431, 18801, 1177, 6841, 2674, 27137, 20909, 448, 15226, 804, 304, 11581, 22763, 1361, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 582, 10981, 311, 5165, 279, 16275, 315, 1817, 8177, 48284, 304, 264, 7299, 47335, 61722, 94710, 3922, 311, 614, 7168, 2550, 323, 7168, 30232, 389, 5461, 11, 323, 990, 8651, 37115, 13234, 311, 1614, 279, 13482, 19543, 4518, 13, 1205, 3060, 279, 975, 553, 93952, 31918, 264, 4843, 17991, 311, 21694, 279, 5452, 315, 279, 16275, 315, 1817, 8177, 48284, 11, 323, 2086 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2008, 14421, 52970, 311, 7269, 20169, 36952, 55441, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 7842, 264, 26943, 5733, 311, 2477, 61299, 1361, 304, 29728, 14155, 311, 1281, 279, 37236, 3793, 315, 279, 472, 74329, 12318, 38572, 8085, 6172, 12128, 311, 30326, 11, 4752, 389, 3681, 975, 389, 5702, 323, 30232, 4126, 287, 13, 576, 12014, 23643, 279, 2456, 315, 1493, 52970, 389, 279, 472, 74329, 6172, 11, 20169, 17961, 11, 323, 55441, 4628, 304, 5257, 3922, 77235, 382, 34764, 565, 10294, 8883, 198, 641, 508, 16, 15, 1125, 279, 12014, 1030, 8597, 10981, 46041, 279, 3922, 1685, 17366, 2022, 11, 304, 1973, 311, 5978, 7168, 82996, 8177, 4982, 92495, 3941, 4862, 10295, 320, 7175, 4126, 287, 8, 323, 7168, 82996, 42545, 320, 96512, 4126, 287, 568, 1096, 572, 16994, 553, 31918, 10706, 12, 49986, 1948, 13617, 326, 12, 16, 323, 326, 10, 16, 323, 7842, 13482, 6813, 311, 279, 2477, 8447, 10748, 315, 6193, 326, 25, 1493, 501, 5029, 7629, 944, 49250, 4764, 11, 714, 4518, 525, 23368, 6315, 37110, 311, 28162, 5702, 323, 30232, 4126, 287, 13, 4220, 6708, 1030, 15102, 1012, 10981, 553, 5016, 97957, 42970, 304, 6788, 975, 11, 448, 508, 16, 15, 60, 9027, 429, 1493, 28762, 11941, 12944, 55441, 315, 5538, 14155, 1393, 1083, 3259, 279, 3633, 311, 2086, 1973, 5413, 13, 758, 419, 975, 11, 279, 12014, 10981, 7842, 458, 4960, 26943, 5733, 311, 279, 2477, 8447, 10748, 11, 892, 374, 23368, 304, 1973, 311, 1281, 279, 37236, 3793, 315, 279, 472, 74329, 608, 35504, 8085, 6172, 12128, 311, 30326, 13, 576, 12014, 3920, 279, 2456, 315, 1493, 220, 18, 52970, 553, 25, 320, 16, 8, 28990, 5888, 315, 279, 472, 74329, 6172, 448, 323, 2041, 52970, 11, 438, 1632, 438, 20314, 6010, 315, 279, 12942, 52149, 311, 220, 17, 303, 1973, 52149, 26, 320, 17, 8, 26297, 279, 8084, 23850, 55441, 4628, 369, 264, 220, 17, 323, 220, 18, 6193, 94891, 82, 389, 34995, 3846, 323, 5499, 26, 320, 18, 8, 20956, 1181, 2456, 389, 264, 5538, 3233, 12, 27008, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 5567, 11, 7469, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16644, 287, 794, 65954, 53107, 6974, 10440, 12, 4431, 18801, 1177, 6841, 2674, 27137, 20909, 448, 15226, 804, 304, 11581, 22763, 1361, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 582, 10981, 311, 5165, 279, 16275, 315, 1817, 8177, 48284, 304, 264, 7299, 47335, 61722, 94710, 3922, 311, 614, 7168, 2550, 323, 7168, 30232, 389, 5461, 11, 323, 990, 8651, 37115, 13234, 311, 1614, 279, 13482, 19543, 4518, 13, 1205, 3060, 279, 975, 553, 93952, 31918, 264, 4843, 17991, 311, 21694, 279, 5452, 315, 279, 16275, 315, 1817, 8177, 48284, 11, 323, 2086 ]
[ 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
[ 398, 553, 41018, 279, 13234, 311, 2086, 1973, 25262, 5413, 13, 1205, 1473, 429, 279, 52970, 1281, 264, 4285, 95240, 20169, 35692, 12128, 311, 2086, 23810, 25262, 5413, 323, 8450, 4628, 705, 6832, 13, 1096, 374, 6839, 2176, 304, 10126, 323, 448, 21204, 13, 576, 21204, 389, 279, 4843, 17991, 1473, 429, 1393, 432, 4623, 12703, 279, 4628, 315, 6832, 11, 432, 646, 1083, 12898, 5068, 553, 19313, 3173, 311, 264, 10960, 2205, 53667, 382, 34764, 565, 13513, 55695, 198, 677, 4701, 804, 6, 364, 41006, 6, 364, 267, 65954, 20169, 6, 364, 35742, 1248, 364, 1419, 2674, 27137, 6, 364, 6280, 22763, 1361, 6, 364, 6263, 48284, 6, 364, 327, 49632, 1248, 364, 712, 346, 94710, 3922, 6, 364, 3006, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 398, 553, 41018, 279, 13234, 311, 2086, 1973, 25262, 5413, 13, 1205, 1473, 429, 279, 52970, 1281, 264, 4285, 95240, 20169, 35692, 12128, 311, 2086, 23810, 25262, 5413, 323, 8450, 4628, 705, 6832, 13, 1096, 374, 6839, 2176, 304, 10126, 323, 448, 21204, 13, 576, 21204, 389, 279, 4843, 17991, 1473, 429, 1393, 432, 4623, 12703, 279, 4628, 315, 6832, 11, 432, 646, 1083, 12898, 5068, 553, 19313, 3173, 311, 264, 10960, 2205, 53667, 382, 34764, 565, 13513, 55695, 198, 677, 4701, 804, 6, 364, 41006, 6, 364, 267, 65954, 20169, 6, 364, 35742, 1248, 364, 1419, 2674, 27137, 6, 364, 6280, 22763, 1361, 6, 364, 6263, 48284, 6, 364, 327, 49632, 1248, 364, 712, 346, 94710, 3922, 6, 364, 3006, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16644, 287, 794, 65954, 53107, 6974, 10440, 12, 4431, 18801, 1177, 6841, 2674, 27137, 20909, 448, 15226, 804, 304, 11581, 22763, 1361, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 582, 10981, 311, 5165, 279, 16275, 315, 1817, 8177, 48284, 304, 264, 7299, 47335, 61722, 94710, 3922, 311, 614, 7168, 2550, 323, 7168, 30232, 389, 5461, 11, 323, 990, 8651, 37115, 13234, 311, 1614, 279, 13482, 19543, 4518, 13, 1205, 3060, 279, 975, 553, 93952, 31918, 264, 4843, 17991, 311, 21694, 279, 5452, 315, 279, 16275, 315, 1817, 8177, 48284, 11, 323, 2086, 398, 553, 41018, 279, 13234, 311, 2086, 1973, 25262, 5413, 13, 1205, 1473, 429, 279, 52970, 1281, 264, 4285, 95240, 20169, 35692, 12128, 311, 2086, 23810, 25262, 5413, 323, 8450, 4628, 705, 6832, 13, 1096, 374, 6839, 2176, 304, 10126, 323, 448, 21204, 13, 576, 21204, 389, 279, 4843, 17991, 1473, 429, 1393, 432, 4623, 12703, 279, 4628, 315, 6832, 11, 432, 646, 1083, 12898, 5068, 553, 19313, 3173, 311, 264, 10960, 2205, 53667, 382, 34764, 565, 13513, 55695, 198, 677, 4701, 804, 6, 364, 41006, 6, 364, 267, 65954, 20169, 6, 364, 35742, 1248, 364, 1419, 2674, 27137, 6, 364, 6280, 22763, 1361, 6, 364, 6263, 48284, 6, 364, 327, 49632, 1248, 364, 712, 346, 94710, 3922, 6, 364, 3006, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2008, 14421, 52970, 311, 7269, 20169, 36952, 55441, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 7842, 264, 26943, 5733, 311, 2477, 61299, 1361, 304, 29728, 14155, 311, 1281, 279, 37236, 3793, 315, 279, 472, 74329, 12318, 38572, 8085, 6172, 12128, 311, 30326, 11, 4752, 389, 3681, 975, 389, 5702, 323, 30232, 4126, 287, 13, 576, 12014, 23643, 279, 2456, 315, 1493, 52970, 389, 279, 472, 74329, 6172, 11, 20169, 17961, 11, 323, 55441, 4628, 304, 5257, 3922, 77235, 382, 34764, 565, 10294, 8883, 198, 641, 508, 16, 15, 1125, 279, 12014, 1030, 8597, 10981, 46041, 279, 3922, 1685, 17366, 2022, 11, 304, 1973, 311, 5978, 7168, 82996, 8177, 4982, 92495, 3941, 4862, 10295, 320, 7175, 4126, 287, 8, 323, 7168, 82996, 42545, 320, 96512, 4126, 287, 568, 1096, 572, 16994, 553, 31918, 10706, 12, 49986, 1948, 13617, 326, 12, 16, 323, 326, 10, 16, 323, 7842, 13482, 6813, 311, 279, 2477, 8447, 10748, 315, 6193, 326, 25, 1493, 501, 5029, 7629, 944, 49250, 4764, 11, 714, 4518, 525, 23368, 6315, 37110, 311, 28162, 5702, 323, 30232, 4126, 287, 13, 4220, 6708, 1030, 15102, 1012, 10981, 553, 5016, 97957, 42970, 304, 6788, 975, 11, 448, 508, 16, 15, 60, 9027, 429, 1493, 28762, 11941, 12944, 55441, 315, 5538, 14155, 1393, 1083, 3259, 279, 3633, 311, 2086, 1973, 5413, 13, 758, 419, 975, 11, 279, 12014, 10981, 7842, 458, 4960, 26943, 5733, 311, 279, 2477, 8447, 10748, 11, 892, 374, 23368, 304, 1973, 311, 1281, 279, 37236, 3793 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16644, 287, 794, 65954, 53107, 6974, 10440, 12, 4431, 18801, 1177, 6841, 2674, 27137, 20909, 448, 15226, 804, 304, 11581, 22763, 1361, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 582, 10981, 311, 5165, 279, 16275, 315, 1817, 8177, 48284, 304, 264, 7299, 47335, 61722, 94710, 3922, 311, 614, 7168, 2550, 323, 7168, 30232, 389, 5461, 11, 323, 990, 8651, 37115, 13234, 311, 1614, 279, 13482, 19543, 4518, 13, 1205, 3060, 279, 975, 553, 93952, 31918, 264, 4843, 17991, 311, 21694, 279, 5452, 315, 279, 16275, 315, 1817, 8177, 48284, 11, 323, 2086, 398, 553, 41018, 279, 13234, 311, 2086, 1973, 25262, 5413, 13, 1205, 1473, 429, 279, 52970, 1281, 264, 4285, 95240, 20169, 35692, 12128, 311, 2086, 23810, 25262, 5413, 323, 8450, 4628, 705, 6832, 13, 1096, 374, 6839, 2176, 304, 10126, 323, 448, 21204, 13, 576, 21204, 389, 279, 4843, 17991, 1473, 429, 1393, 432, 4623, 12703, 279, 4628, 315, 6832, 11, 432, 646, 1083, 12898, 5068, 553, 19313, 3173, 311, 264, 10960, 2205, 53667, 382, 34764, 565, 13513, 55695, 198, 677, 4701, 804, 6, 364, 41006, 6, 364, 267, 65954, 20169, 6, 364, 35742, 1248, 364, 1419, 2674, 27137, 6, 364, 6280, 22763, 1361, 6, 364, 6263, 48284, 6, 364, 327, 49632, 1248, 364, 712, 346, 94710, 3922, 6, 364, 3006, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2008, 14421, 52970, 311, 7269, 20169, 36952, 55441, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 7842, 264, 26943, 5733, 311, 2477, 61299, 1361, 304, 29728, 14155, 311, 1281, 279, 37236, 3793, 315, 279, 472, 74329, 12318, 38572, 8085, 6172, 12128, 311, 30326, 11, 4752, 389, 3681, 975, 389, 5702, 323, 30232, 4126, 287, 13, 576, 12014, 23643, 279, 2456, 315, 1493, 52970, 389, 279, 472, 74329, 6172, 11, 20169, 17961, 11, 323, 55441, 4628, 304, 5257, 3922, 77235, 382, 34764, 565, 10294, 8883, 198, 641, 508, 16, 15, 1125, 279, 12014, 1030, 8597, 10981, 46041, 279, 3922, 1685, 17366, 2022, 11, 304, 1973, 311, 5978, 7168, 82996, 8177, 4982, 92495, 3941, 4862, 10295, 320, 7175, 4126, 287, 8, 323, 7168, 82996, 42545, 320, 96512, 4126, 287, 568, 1096, 572, 16994, 553, 31918, 10706, 12, 49986, 1948, 13617, 326, 12, 16, 323, 326, 10, 16, 323, 7842, 13482, 6813, 311, 279, 2477, 8447, 10748, 315, 6193, 326, 25, 1493, 501, 5029, 7629, 944, 49250, 4764, 11, 714, 4518, 525, 23368, 6315, 37110, 311, 28162, 5702, 323, 30232, 4126, 287, 13, 4220, 6708, 1030, 15102, 1012, 10981, 553, 5016, 97957, 42970, 304, 6788, 975, 11, 448, 508, 16, 15, 60, 9027, 429, 1493, 28762, 11941, 12944, 55441, 315, 5538, 14155, 1393, 1083, 3259, 279, 3633, 311, 2086, 1973, 5413, 13, 758, 419, 975, 11, 279, 12014, 10981, 7842, 458, 4960, 26943, 5733, 311, 279, 2477, 8447, 10748, 11, 892, 374, 23368, 304, 1973, 311, 1281, 279, 37236, 3793 ]
[ 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
[ 315, 279, 472, 74329, 608, 35504, 8085, 6172, 12128, 311, 30326, 13, 576, 12014, 3920, 279, 2456, 315, 1493, 220, 18, 52970, 553, 25, 320, 16, 8, 28990, 5888, 315, 279, 472, 74329, 6172, 448, 323, 2041, 52970, 11, 438, 1632, 438, 20314, 6010, 315, 279, 12942, 52149, 311, 220, 17, 303, 1973, 52149, 26, 320, 17, 8, 26297, 279, 8084, 23850, 55441, 4628, 369, 264, 220, 17, 323, 220, 18, 6193, 94891, 82, 389, 34995, 3846, 323, 5499, 26, 320, 18, 8, 20956, 1181, 2456, 389, 264, 5538, 3233, 12, 27008, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 5567, 11, 7469, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 315, 279, 472, 74329, 608, 35504, 8085, 6172, 12128, 311, 30326, 13, 576, 12014, 3920, 279, 2456, 315, 1493, 220, 18, 52970, 553, 25, 320, 16, 8, 28990, 5888, 315, 279, 472, 74329, 6172, 448, 323, 2041, 52970, 11, 438, 1632, 438, 20314, 6010, 315, 279, 12942, 52149, 311, 220, 17, 303, 1973, 52149, 26, 320, 17, 8, 26297, 279, 8084, 23850, 55441, 4628, 369, 264, 220, 17, 323, 220, 18, 6193, 94891, 82, 389, 34995, 3846, 323, 5499, 26, 320, 18, 8, 20956, 1181, 2456, 389, 264, 5538, 3233, 12, 27008, 382, 34764, 565, 10294, 19216, 198, 20, 25, 88514, 5567, 11, 7469, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 6756, 2459, 29728, 4179, 52970, 369, 2664, 25262, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 8894, 311, 3681, 975, 389, 29728, 4179, 52970, 553, 31918, 264, 26943, 17991, 429, 4622, 4756, 279, 16275, 315, 8177, 8153, 13, 1096, 374, 16994, 1526, 264, 87294, 5733, 429, 36067, 279, 52484, 3076, 315, 279, 5452, 323, 30232, 311, 387, 825, 13, 576, 12014, 3410, 31787, 6358, 9027, 429, 279, 52970, 1281, 279, 35504, 1995, 6172, 5424, 12128, 311, 7168, 323, 803, 13794, 304, 5452, 11, 4428, 311, 5810, 20169, 5413, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 2239, 279, 12014, 6, 3681, 975, 389, 3259, 2704, 429, 279, 8177, 8153, 304, 264, 29728, 4179, 614, 7168, 2550, 323, 30232, 389, 5461, 11, 553, 1083, 1667, 2118, 13234, 429, 1614, 20975, 279, 13482, 19543, 13, 576, 8894, 38919, 2441, 17991, 892, 4344, 279, 5452, 315, 279, 16275, 315, 279, 8177, 8153, 25, 15791, 11, 807, 1430, 311, 21694, 2176, 279, 5452, 323, 279, 30232, 315, 279, 16275, 311, 825, 13, 1096, 374, 2814, 320, 433, 30568, 8, 553, 31918, 264, 87294, 5733, 429, 36067, 279, 52484, 3076, 315, 279, 5452, 323, 279, 30232, 311, 387, 825, 13, 576, 5567, 594, 19026, 525, 1083, 311, 2968, 264, 31787, 6358, 315, 279, 2456, 315, 279, 10981, 52970, 13, 576, 2669, 10981, 28762, 525, 6839, 311, 1281, 279, 2477, 50289, 23450, 5424, 315, 279, 35504, 1995, 6172, 12128, 311, 7168, 13, 576, 501, 17991, 3643, 279, 37236, 5424, 12128, 311, 1817, 1008, 304, 5452, 11, 892, 374, 7040, 438, 432, 594, 4428, 311, 1128, 5810, 20169, 1558, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16644, 287, 794, 65954, 53107, 6974, 10440, 12, 4431, 18801, 1177, 6841, 2674, 27137, 20909, 448, 15226, 804, 304, 11581, 22763, 1361, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 582, 10981, 311, 5165, 279, 16275, 315, 1817, 8177, 48284, 304, 264, 7299, 47335, 61722, 94710, 3922, 311, 614, 7168, 2550, 323, 7168, 30232, 389, 5461, 11, 323, 990, 8651, 37115, 13234, 311, 1614, 279, 13482, 19543, 4518, 13, 1205, 3060, 279, 975, 553, 93952, 31918, 264, 4843, 17991, 311, 21694, 279, 5452, 315, 279, 16275, 315, 1817, 8177, 48284, 11, 323, 2086, 398, 553, 41018, 279, 13234, 311, 2086, 1973, 25262, 5413, 13, 1205, 1473, 429, 279, 52970, 1281, 264, 4285, 95240, 20169, 35692, 12128, 311, 2086, 23810, 25262, 5413, 323, 8450, 4628, 705, 6832, 13, 1096, 374, 6839, 2176, 304, 10126, 323, 448, 21204, 13, 576, 21204, 389, 279, 4843, 17991, 1473, 429, 1393, 432, 4623, 12703, 279, 4628, 315, 6832, 11, 432, 646, 1083, 12898, 5068, 553, 19313, 3173, 311, 264, 10960, 2205, 53667, 382, 34764, 565, 13513, 55695, 198 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 6756, 2459, 29728, 4179, 52970, 369, 2664, 25262, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 8894, 311, 3681, 975, 389, 29728, 4179, 52970, 553, 31918, 264, 26943, 17991, 429, 4622, 4756, 279, 16275, 315, 8177, 8153, 13, 1096, 374, 16994, 1526, 264, 87294, 5733, 429, 36067, 279, 52484, 3076, 315, 279, 5452, 323, 30232, 311, 387, 825, 13, 576, 12014, 3410, 31787, 6358, 9027, 429, 279, 52970, 1281, 279, 35504, 1995, 6172, 5424, 12128, 311, 7168, 323, 803, 13794, 304, 5452, 11, 4428, 311, 5810, 20169, 5413, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 2239, 279, 12014, 6, 3681, 975, 389, 3259, 2704, 429, 279, 8177, 8153, 304, 264, 29728, 4179, 614, 7168, 2550, 323, 30232, 389, 5461, 11, 553, 1083, 1667, 2118, 13234, 429, 1614, 20975, 279, 13482, 19543, 13, 576, 8894, 38919, 2441, 17991, 892, 4344, 279, 5452, 315, 279, 16275, 315, 279, 8177, 8153, 25, 15791, 11, 807, 1430, 311, 21694, 2176, 279, 5452, 323, 279, 30232, 315, 279, 16275, 311, 825, 13, 1096, 374, 2814, 320, 433, 30568, 8, 553, 31918, 264, 87294, 5733, 429, 36067, 279, 52484, 3076, 315, 279, 5452, 323, 279, 30232, 311, 387, 825, 13, 576, 5567, 594, 19026, 525, 1083, 311, 2968, 264, 31787, 6358, 315, 279, 2456, 315, 279, 10981, 52970, 13, 576, 2669, 10981, 28762, 525, 6839, 311, 1281, 279, 2477, 50289, 23450, 5424, 315, 279, 35504, 1995, 6172, 12128, 311, 7168, 13, 576, 501, 17991, 3643, 279, 37236, 5424, 12128, 311, 1817, 1008, 304, 5452, 11, 892, 374, 7040, 438, 432, 594, 4428, 311, 1128, 5810, 20169, 1558, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16644, 287, 794, 65954, 53107, 6974, 10440, 12, 4431, 18801, 1177, 6841, 2674, 27137, 20909, 448, 15226, 804, 304, 11581, 22763, 1361, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 582, 10981, 311, 5165, 279, 16275, 315, 1817, 8177, 48284, 304, 264, 7299, 47335, 61722, 94710, 3922, 311, 614, 7168, 2550, 323, 7168, 30232, 389, 5461, 11, 323, 990, 8651, 37115, 13234, 311, 1614, 279, 13482, 19543, 4518, 13, 1205, 3060, 279, 975, 553, 93952, 31918, 264, 4843, 17991, 311, 21694, 279, 5452, 315, 279, 16275, 315, 1817, 8177, 48284, 11, 323, 2086, 398, 553, 41018, 279, 13234, 311, 2086, 1973, 25262, 5413, 13, 1205, 1473, 429, 279, 52970, 1281, 264, 4285, 95240, 20169, 35692, 12128, 311, 2086, 23810, 25262, 5413, 323, 8450, 4628, 705, 6832, 13, 1096, 374, 6839, 2176, 304, 10126, 323, 448, 21204, 13, 576, 21204, 389, 279, 4843, 17991, 1473, 429, 1393, 432, 4623, 12703, 279, 4628, 315, 6832, 11, 432, 646, 1083, 12898, 5068, 553, 19313, 3173, 311, 264, 10960, 2205, 53667, 382, 34764, 565, 13513, 55695, 198 ]
[ 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
[ 677, 4701, 804, 6, 364, 41006, 6, 364, 267, 65954, 20169, 6, 364, 35742, 1248, 364, 1419, 2674, 27137, 6, 364, 6280, 22763, 1361, 6, 364, 6263, 48284, 6, 364, 327, 49632, 1248, 364, 712, 346, 94710, 3922, 6, 364, 3006, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 677, 4701, 804, 6, 364, 41006, 6, 364, 267, 65954, 20169, 6, 364, 35742, 1248, 364, 1419, 2674, 27137, 6, 364, 6280, 22763, 1361, 6, 364, 6263, 48284, 6, 364, 327, 49632, 1248, 364, 712, 346, 94710, 3922, 6, 364, 3006, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16644, 287, 794, 65954, 53107, 6974, 10440, 12, 4431, 18801, 1177, 6841, 2674, 27137, 20909, 448, 15226, 804, 304, 11581, 22763, 1361, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 582, 10981, 311, 5165, 279, 16275, 315, 1817, 8177, 48284, 304, 264, 7299, 47335, 61722, 94710, 3922, 311, 614, 7168, 2550, 323, 7168, 30232, 389, 5461, 11, 323, 990, 8651, 37115, 13234, 311, 1614, 279, 13482, 19543, 4518, 13, 1205, 3060, 279, 975, 553, 93952, 31918, 264, 4843, 17991, 311, 21694, 279, 5452, 315, 279, 16275, 315, 1817, 8177, 48284, 11, 323, 2086, 398, 553, 41018, 279, 13234, 311, 2086, 1973, 25262, 5413, 13, 1205, 1473, 429, 279, 52970, 1281, 264, 4285, 95240, 20169, 35692, 12128, 311, 2086, 23810, 25262, 5413, 323, 8450, 4628, 705, 6832, 13, 1096, 374, 6839, 2176, 304, 10126, 323, 448, 21204, 13, 576, 21204, 389, 279, 4843, 17991, 1473, 429, 1393, 432, 4623, 12703, 279, 4628, 315, 6832, 11, 432, 646, 1083, 12898, 5068, 553, 19313, 3173, 311, 264, 10960, 2205, 53667, 382, 34764, 565, 13513, 55695, 198, 677, 4701, 804, 6, 364, 41006, 6, 364, 267, 65954, 20169, 6, 364, 35742, 1248, 364, 1419, 2674, 27137, 6, 364, 6280, 22763, 1361, 6, 364, 6263, 48284, 6, 364, 327, 49632, 1248, 364, 712, 346, 94710, 3922, 6, 364, 3006, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 6756, 2459, 29728, 4179, 52970, 369, 2664, 25262, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 8894, 311, 3681, 975, 389, 29728, 4179, 52970, 553, 31918, 264, 26943, 17991, 429, 4622, 4756, 279, 16275, 315, 8177, 8153, 13, 1096, 374, 16994, 1526, 264, 87294, 5733, 429, 36067, 279, 52484, 3076, 315, 279, 5452, 323, 30232, 311, 387, 825, 13, 576, 12014, 3410, 31787, 6358, 9027, 429, 279, 52970, 1281, 279, 35504, 1995, 6172, 5424, 12128, 311, 7168, 323, 803, 13794, 304, 5452, 11, 4428, 311, 5810, 20169, 5413, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 2239, 279, 12014, 6, 3681, 975, 389, 3259, 2704, 429, 279, 8177, 8153, 304, 264, 29728, 4179, 614, 7168, 2550, 323, 30232, 389, 5461, 11, 553, 1083, 1667, 2118, 13234, 429, 1614, 20975, 279, 13482, 19543, 13, 576, 8894, 38919, 2441, 17991, 892, 4344, 279, 5452, 315, 279, 16275, 315, 279, 8177, 8153, 25, 15791, 11, 807, 1430, 311, 21694, 2176, 279, 5452, 323, 279, 30232, 315, 279, 16275, 311, 825, 13, 1096, 374, 2814, 320, 433, 30568, 8, 553, 31918, 264, 87294, 5733, 429, 36067, 279, 52484, 3076, 315, 279, 5452, 323, 279, 30232, 311, 387, 825, 13, 576, 5567, 594, 19026, 525, 1083, 311, 2968, 264, 31787, 6358, 315, 279, 2456, 315, 279, 10981, 52970, 13, 576, 2669, 10981, 28762, 525, 6839, 311, 1281, 279, 2477, 50289, 23450, 5424, 315, 279, 35504, 1995, 6172, 12128, 311, 7168, 13, 576, 501, 17991, 3643, 279, 37236, 5424, 12128, 311, 1817 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 16644, 287, 794, 65954, 53107, 6974, 10440, 12, 4431, 18801, 1177, 6841, 2674, 27137, 20909, 448, 15226, 804, 304, 11581, 22763, 1361, 271, 34764, 565, 13513, 8883, 198, 45137, 11, 582, 10981, 311, 5165, 279, 16275, 315, 1817, 8177, 48284, 304, 264, 7299, 47335, 61722, 94710, 3922, 311, 614, 7168, 2550, 323, 7168, 30232, 389, 5461, 11, 323, 990, 8651, 37115, 13234, 311, 1614, 279, 13482, 19543, 4518, 13, 1205, 3060, 279, 975, 553, 93952, 31918, 264, 4843, 17991, 311, 21694, 279, 5452, 315, 279, 16275, 315, 1817, 8177, 48284, 11, 323, 2086, 398, 553, 41018, 279, 13234, 311, 2086, 1973, 25262, 5413, 13, 1205, 1473, 429, 279, 52970, 1281, 264, 4285, 95240, 20169, 35692, 12128, 311, 2086, 23810, 25262, 5413, 323, 8450, 4628, 705, 6832, 13, 1096, 374, 6839, 2176, 304, 10126, 323, 448, 21204, 13, 576, 21204, 389, 279, 4843, 17991, 1473, 429, 1393, 432, 4623, 12703, 279, 4628, 315, 6832, 11, 432, 646, 1083, 12898, 5068, 553, 19313, 3173, 311, 264, 10960, 2205, 53667, 382, 34764, 565, 13513, 55695, 198, 677, 4701, 804, 6, 364, 41006, 6, 364, 267, 65954, 20169, 6, 364, 35742, 1248, 364, 1419, 2674, 27137, 6, 364, 6280, 22763, 1361, 6, 364, 6263, 48284, 6, 364, 327, 49632, 1248, 364, 712, 346, 94710, 3922, 6, 364, 3006, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 6756, 2459, 29728, 4179, 52970, 369, 2664, 25262, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 8894, 311, 3681, 975, 389, 29728, 4179, 52970, 553, 31918, 264, 26943, 17991, 429, 4622, 4756, 279, 16275, 315, 8177, 8153, 13, 1096, 374, 16994, 1526, 264, 87294, 5733, 429, 36067, 279, 52484, 3076, 315, 279, 5452, 323, 30232, 311, 387, 825, 13, 576, 12014, 3410, 31787, 6358, 9027, 429, 279, 52970, 1281, 279, 35504, 1995, 6172, 5424, 12128, 311, 7168, 323, 803, 13794, 304, 5452, 11, 4428, 311, 5810, 20169, 5413, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 2239, 279, 12014, 6, 3681, 975, 389, 3259, 2704, 429, 279, 8177, 8153, 304, 264, 29728, 4179, 614, 7168, 2550, 323, 30232, 389, 5461, 11, 553, 1083, 1667, 2118, 13234, 429, 1614, 20975, 279, 13482, 19543, 13, 576, 8894, 38919, 2441, 17991, 892, 4344, 279, 5452, 315, 279, 16275, 315, 279, 8177, 8153, 25, 15791, 11, 807, 1430, 311, 21694, 2176, 279, 5452, 323, 279, 30232, 315, 279, 16275, 311, 825, 13, 1096, 374, 2814, 320, 433, 30568, 8, 553, 31918, 264, 87294, 5733, 429, 36067, 279, 52484, 3076, 315, 279, 5452, 323, 279, 30232, 311, 387, 825, 13, 576, 5567, 594, 19026, 525, 1083, 311, 2968, 264, 31787, 6358, 315, 279, 2456, 315, 279, 10981, 52970, 13, 576, 2669, 10981, 28762, 525, 6839, 311, 1281, 279, 2477, 50289, 23450, 5424, 315, 279, 35504, 1995, 6172, 12128, 311, 7168, 13, 576, 501, 17991, 3643, 279, 37236, 5424, 12128, 311, 1817 ]
[ 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
[ 1008, 304, 5452, 11, 892, 374, 7040, 438, 432, 594, 4428, 311, 1128, 5810, 20169, 1558, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1008, 304, 5452, 11, 892, 374, 7040, 438, 432, 594, 4428, 311, 1128, 5810, 20169, 1558, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 20980, 315, 3871, 323, 27974, 21634, 36756, 4586, 2734, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 20980, 315, 52962, 42685, 320, 3031, 42685, 8, 311, 27974, 21634, 553, 41018, 31787, 5888, 11, 1741, 438, 279, 24632, 4119, 14064, 42685, 448, 3746, 19777, 13, 4354, 11, 279, 5244, 389, 3151, 5888, 323, 6853, 315, 41679, 40841, 3930, 1181, 26829, 40861, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 13553, 518, 26297, 20980, 315, 52962, 42685, 320, 43882, 1985, 42685, 8, 311, 27974, 21634, 13, 1084, 1558, 773, 553, 41018, 3807, 31787, 5888, 11, 1741, 438, 279, 24632, 4119, 892, 646, 4009, 894, 7982, 448, 264, 2661, 1372, 315, 3746, 19777, 320, 269, 518, 3245, 825, 315, 1493, 42685, 8, 476, 279, 24632, 20980, 892, 646, 4009, 678, 279, 42685, 315, 264, 2661, 27974, 44, 13, 576, 5025, 1948, 27974, 21634, 323, 1008, 4119, 1667, 8177, 5302, 374, 537, 7225, 15985, 323, 894, 63684, 374, 10565, 13, 18656, 11, 537, 1172, 358, 1079, 537, 2704, 279, 6050, 47, 374, 279, 1429, 7040, 536, 315, 4119, 311, 23643, 11, 714, 279, 279, 460, 1011, 5244, 389, 9016, 3151, 5888, 892, 34806, 13388, 862, 75864, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 20980, 315, 3871, 323, 27974, 21634, 36756, 4586, 2734, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 20980, 315, 52962, 42685, 320, 3031, 42685, 8, 311, 27974, 21634, 553, 41018, 31787, 5888, 11, 1741, 438, 279, 24632, 4119, 14064, 42685, 448, 3746, 19777, 13, 4354, 11, 279, 5244, 389, 3151, 5888, 323, 6853, 315, 41679, 40841, 3930, 1181, 26829, 40861, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 13553, 518, 26297, 20980, 315, 52962, 42685, 320, 43882, 1985, 42685, 8, 311, 27974, 21634, 13, 1084, 1558, 773, 553, 41018, 3807, 31787, 5888, 11, 1741, 438, 279, 24632, 4119, 892, 646, 4009, 894, 7982, 448, 264, 2661, 1372, 315, 3746, 19777, 320, 269, 518, 3245, 825, 315, 1493, 42685, 8, 476, 279, 24632, 20980, 892, 646, 4009, 678, 279, 42685, 315, 264, 2661, 27974, 44, 13, 576, 5025, 1948, 27974, 21634, 323, 1008, 4119, 1667, 8177, 5302, 374, 537, 7225, 15985, 323, 894, 63684, 374, 10565, 13, 18656, 11, 537, 1172, 358, 1079, 537, 2704, 279, 6050, 47, 374, 279, 1429, 7040, 536, 315, 4119, 311, 23643, 11, 714, 279, 279, 460, 1011, 5244, 389, 9016, 3151, 5888, 892, 34806, 13388, 862, 75864, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 20980, 315, 3871, 323, 27974, 21634, 36756, 4586, 2734, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 20980, 315, 52962, 42685, 320, 3031, 42685, 8, 311, 27974, 21634, 553, 41018, 31787, 5888, 11, 1741, 438, 279, 24632, 4119, 14064, 42685, 448, 3746, 19777, 13, 4354, 11, 279, 5244, 389, 3151, 5888, 323, 6853, 315, 41679, 40841, 3930, 1181, 26829, 40861, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 13553, 518, 26297, 20980, 315, 52962, 42685, 320, 43882, 1985, 42685, 8, 311, 27974, 21634, 13, 1084, 1558, 773, 553, 41018, 3807, 31787, 5888, 11, 1741, 438, 279, 24632, 4119, 892, 646, 4009, 894, 7982, 448, 264, 2661, 1372, 315, 3746, 19777, 320, 269, 518, 3245, 825, 315, 1493, 42685, 8, 476, 279, 24632, 20980, 892, 646, 4009, 678, 279, 42685, 315, 264, 2661, 27974, 44, 13, 576, 5025, 1948, 27974, 21634, 323, 1008, 4119, 1667, 8177, 5302, 374, 537, 7225, 15985, 323, 894, 63684, 374, 10565, 13, 18656, 11, 537, 1172, 358, 1079, 537, 2704, 279, 6050, 47, 374, 279, 1429, 7040, 536, 315, 4119, 311, 23643, 11, 714, 279, 279, 460, 1011, 5244, 389, 9016, 3151, 5888, 892, 34806, 13388, 862, 75864, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 20980, 315, 3871, 323, 27974, 21634, 36756, 4586, 2734, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 20980, 315, 52962, 42685, 320, 3031, 42685, 8, 311, 27974, 21634, 553, 41018, 31787, 5888, 11, 1741, 438, 279, 24632, 4119, 14064, 42685, 448, 3746, 19777, 13, 4354, 11, 279, 5244, 389, 3151, 5888, 323, 6853, 315, 41679, 40841, 3930, 1181, 26829, 40861, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 13553, 518, 26297, 20980, 315, 52962, 42685, 320, 43882, 1985, 42685, 8, 311, 27974, 21634, 13, 1084, 1558, 773, 553, 41018, 3807, 31787, 5888, 11, 1741, 438, 279, 24632, 4119, 892, 646, 4009, 894, 7982, 448, 264, 2661, 1372, 315, 3746, 19777, 320, 269, 518, 3245, 825, 315, 1493, 42685, 8, 476, 279, 24632, 20980, 892, 646, 4009, 678, 279, 42685, 315, 264, 2661, 27974, 44, 13, 576, 5025, 1948, 27974, 21634, 323, 1008, 4119, 1667, 8177, 5302, 374, 537, 7225, 15985, 323, 894, 63684, 374, 10565, 13, 18656, 11, 537, 1172, 358, 1079, 537, 2704, 279, 6050, 47, 374, 279, 1429, 7040, 536, 315, 4119, 311, 23643, 11, 714, 279, 279, 460, 1011, 5244, 389, 9016, 3151, 5888, 892, 34806, 13388, 862, 75864, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 785, 90767, 12313, 315, 27974, 21634, 323, 6514, 18513, 315, 1985, 42685, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 62134, 42465, 279, 4009, 1663, 2355, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 448, 6514, 18513, 315, 1985, 42685, 11, 9027, 429, 27974, 21634, 646, 387, 74151, 803, 11050, 304, 14064, 3654, 18927, 42685, 13, 1096, 5707, 264, 31787, 16266, 369, 279, 990, 315, 4237, 43613, 304, 5662, 6832, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 279, 4009, 1663, 2355, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 448, 429, 315, 6514, 18513, 315, 1985, 42685, 13, 576, 1887, 1102, 374, 429, 27974, 21634, 646, 387, 74151, 803, 11050, 320, 258, 3793, 315, 279, 1372, 315, 5029, 2567, 8, 311, 4009, 1045, 6846, 315, 18927, 42685, 13, 1096, 5707, 31787, 1101, 7029, 311, 279, 56251, 4815, 279, 24798, 369, 4237, 43613, 11, 600, 1734, 13, 429, 279, 27459, 315, 458, 431, 15594, 594, 8177, 8153, 646, 2968, 10000, 311, 7548, 28765, 42685, 11, 448, 264, 1372, 315, 19777, 58755, 304, 279, 1614, 594, 1379, 382, 34764, 565, 10294, 19216, 198, 47586, 31787, 18527, 11, 9760, 311, 1482, 3412, 389, 6832, 43613, 271, 34764, 565, 10294, 86324, 198, 60795, 398, 16506, 11, 714, 1045, 5479, 315, 279, 5567, 1033, 537, 7225, 15985, 4152, 311, 1181, 17457, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 785, 90767, 12313, 315, 27974, 21634, 323, 6514, 18513, 315, 1985, 42685, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 62134, 42465, 279, 4009, 1663, 2355, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 448, 6514, 18513, 315, 1985, 42685, 11, 9027, 429, 27974, 21634, 646, 387, 74151, 803, 11050, 304, 14064, 3654, 18927, 42685, 13, 1096, 5707, 264, 31787, 16266, 369, 279, 990, 315, 4237, 43613, 304, 5662, 6832, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 279, 4009, 1663, 2355, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 448, 429, 315, 6514, 18513, 315, 1985, 42685, 13, 576, 1887, 1102, 374, 429, 27974, 21634, 646, 387, 74151, 803, 11050, 320, 258, 3793, 315, 279, 1372, 315, 5029, 2567, 8, 311, 4009, 1045, 6846, 315, 18927, 42685, 13, 1096, 5707, 31787, 1101, 7029, 311, 279, 56251, 4815, 279, 24798, 369, 4237, 43613, 11, 600, 1734, 13, 429, 279, 27459, 315, 458, 431, 15594, 594, 8177, 8153, 646, 2968, 10000, 311, 7548, 28765, 42685, 11, 448, 264, 1372, 315, 19777, 58755, 304, 279, 1614, 594, 1379, 382, 34764, 565, 10294, 19216, 198, 47586, 31787, 18527, 11, 9760, 311, 1482, 3412, 389, 6832, 43613, 271, 34764, 565, 10294, 86324, 198, 60795, 398, 16506, 11, 714, 1045, 5479, 315, 279, 5567, 1033, 537, 7225, 15985, 4152, 311, 1181, 17457, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 785, 90767, 12313, 315, 27974, 21634, 323, 6514, 18513, 315, 1985, 42685, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 62134, 42465, 279, 4009, 1663, 2355, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 448, 6514, 18513, 315, 1985, 42685, 11, 9027, 429, 27974, 21634, 646, 387, 74151, 803, 11050, 304, 14064, 3654, 18927, 42685, 13, 1096, 5707, 264, 31787, 16266, 369, 279, 990, 315, 4237, 43613, 304, 5662, 6832, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 279, 4009, 1663, 2355, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 448, 429, 315, 6514, 18513, 315, 1985, 42685, 13, 576, 1887, 1102, 374, 429, 27974, 21634, 646, 387, 74151, 803, 11050, 320, 258, 3793, 315, 279, 1372, 315, 5029, 2567, 8, 311, 4009, 1045, 6846, 315, 18927, 42685, 13, 1096, 5707, 31787, 1101, 7029, 311, 279, 56251, 4815, 279, 24798, 369, 4237, 43613, 11, 600, 1734, 13, 429, 279, 27459, 315, 458, 431, 15594, 594, 8177, 8153, 646, 2968, 10000, 311, 7548, 28765, 42685, 11, 448, 264, 1372, 315, 19777, 58755, 304, 279, 1614, 594, 1379, 382, 34764, 565, 10294, 19216, 198, 47586, 31787, 18527, 11, 9760, 311, 1482, 3412, 389, 6832, 43613, 271, 34764, 565, 10294, 86324, 198, 60795, 398, 16506, 11, 714, 1045, 5479, 315, 279, 5567, 1033, 537, 7225, 15985, 4152, 311, 1181, 17457, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 785, 90767, 12313, 315, 27974, 21634, 323, 6514, 18513, 315, 1985, 42685, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 62134, 42465, 279, 4009, 1663, 2355, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 448, 6514, 18513, 315, 1985, 42685, 11, 9027, 429, 27974, 21634, 646, 387, 74151, 803, 11050, 304, 14064, 3654, 18927, 42685, 13, 1096, 5707, 264, 31787, 16266, 369, 279, 990, 315, 4237, 43613, 304, 5662, 6832, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 279, 4009, 1663, 2355, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 448, 429, 315, 6514, 18513, 315, 1985, 42685, 13, 576, 1887, 1102, 374, 429, 27974, 21634, 646, 387, 74151, 803, 11050, 320, 258, 3793, 315, 279, 1372, 315, 5029, 2567, 8, 311, 4009, 1045, 6846, 315, 18927, 42685, 13, 1096, 5707, 31787, 1101, 7029, 311, 279, 56251, 4815, 279, 24798, 369, 4237, 43613, 11, 600, 1734, 13, 429, 279, 27459, 315, 458, 431, 15594, 594, 8177, 8153, 646, 2968, 10000, 311, 7548, 28765, 42685, 11, 448, 264, 1372, 315, 19777, 58755, 304, 279, 1614, 594, 1379, 382, 34764, 565, 10294, 19216, 198, 47586, 31787, 18527, 11, 9760, 311, 1482, 3412, 389, 6832, 43613, 271, 34764, 565, 10294, 86324, 198, 60795, 398, 16506, 11, 714, 1045, 5479, 315, 279, 5567, 1033, 537, 7225, 15985, 4152, 311, 1181, 17457, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 27974, 44, 4009, 1663, 8654, 7707, 311, 1008, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 47995, 279, 4009, 1663, 8654, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 323, 82279, 432, 448, 1008, 4285, 4119, 11, 10004, 501, 25709, 9760, 311, 11811, 304, 279, 2070, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 27960, 279, 4009, 1663, 8654, 315, 27974, 44, 594, 11, 73955, 432, 448, 1008, 4285, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 18, 25, 358, 1079, 14138, 16506, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 27974, 44, 4009, 1663, 8654, 7707, 311, 1008, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 47995, 279, 4009, 1663, 8654, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 323, 82279, 432, 448, 1008, 4285, 4119, 11, 10004, 501, 25709, 9760, 311, 11811, 304, 279, 2070, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 27960, 279, 4009, 1663, 8654, 315, 27974, 44, 594, 11, 73955, 432, 448, 1008, 4285, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 18, 25, 358, 1079, 14138, 16506, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 27974, 44, 4009, 1663, 8654, 7707, 311, 1008, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 47995, 279, 4009, 1663, 8654, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 323, 82279, 432, 448, 1008, 4285, 4119, 11, 10004, 501, 25709, 9760, 311, 11811, 304, 279, 2070, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 27960, 279, 4009, 1663, 8654, 315, 27974, 44, 594, 11, 73955, 432, 448, 1008, 4285, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 18, 25, 358, 1079, 14138, 16506, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 4498, 12553, 264, 386, 12735, 315, 15530, 2093, 466, 264, 5643, 315, 19219, 18513, 1939, 34764, 565, 13513, 8883, 198, 1654, 19314, 279, 8674, 4009, 1663, 2355, 315, 6514, 18513, 315, 1985, 42685, 323, 21739, 45947, 89, 17562, 12645, 320, 10144, 315, 6514, 18513, 315, 13530, 315, 1985, 42685, 568, 13852, 315, 9489, 2734, 525, 7881, 11, 2670, 3856, 5980, 9861, 71, 35520, 9848, 96376, 16216, 3322, 311, 9429, 2480, 32420, 4119, 11, 323, 3668, 8040, 315, 3204, 19777, 323, 1824, 7289, 315, 2745, 55422, 18927, 42685, 429, 646, 387, 15251, 553, 2176, 1614, 6846, 13, 576, 2265, 3405, 374, 95652, 5435, 311, 4755, 304, 10822, 10126, 323, 1459, 32383, 304, 17071, 19025, 27804, 382, 34764, 565, 13513, 55695, 198, 677, 35071, 18513, 6, 364, 10144, 6, 364, 76, 12735, 6, 364, 3031, 6, 364, 3031, 42685, 1248, 364, 50797, 31842, 89, 17562, 12645, 6, 364, 8074, 1248, 364, 20432, 4009, 1663, 2355, 6, 364, 77256, 6, 364, 15918, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 27974, 44, 4009, 1663, 8654, 7707, 311, 1008, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 47995, 279, 4009, 1663, 8654, 315, 93860, 45947, 89, 17562, 43904, 320, 29259, 21634, 8, 323, 82279, 432, 448, 1008, 4285, 4119, 11, 10004, 501, 25709, 9760, 311, 11811, 304, 279, 2070, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 27960, 279, 4009, 1663, 8654, 315, 27974, 44, 594, 11, 73955, 432, 448, 1008, 4285, 4119, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 18, 25, 358, 1079, 14138, 16506, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 30898, 52191, 4867, 975, 389, 30819, 3233, 954, 52498, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 1614, 4428, 311, 4867, 975, 389, 18267, 58515, 77990, 30819, 3233, 954, 52498, 11, 448, 8922, 11799, 304, 15099, 5746, 323, 5944, 382, 34764, 565, 10294, 8883, 198, 1986, 5868, 264, 4361, 2696, 1075, 279, 18267, 58515, 77990, 30819, 3233, 27008, 429, 582, 11523, 518, 16902, 45, 12567, 220, 17, 15, 16, 16, 508, 16, 60, 323, 279, 32731, 30819, 3233, 27008, 429, 582, 11523, 518, 451, 25944, 220, 17, 15, 16, 16, 13, 4220, 4119, 1083, 614, 264, 42638, 488, 5312, 47502, 1465, 518, 1449, 19569, 323, 16085, 653, 537, 7676, 504, 279, 5242, 10976, 20169, 3491, 13, 576, 1887, 320, 3243, 10170, 11799, 525, 279, 10431, 315, 264, 7608, 1870, 13482, 4982, 4518, 315, 14197, 71, 323, 64851, 6133, 311, 614, 264, 8781, 5944, 892, 374, 1101, 264, 3281, 1142, 315, 264, 4916, 5944, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 30898, 52191, 4867, 975, 389, 30819, 3233, 954, 52498, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 1614, 4428, 311, 4867, 975, 389, 18267, 58515, 77990, 30819, 3233, 954, 52498, 11, 448, 8922, 11799, 304, 15099, 5746, 323, 5944, 382, 34764, 565, 10294, 8883, 198, 1986, 5868, 264, 4361, 2696, 1075, 279, 18267, 58515, 77990, 30819, 3233, 27008, 429, 582, 11523, 518, 16902, 45, 12567, 220, 17, 15, 16, 16, 508, 16, 60, 323, 279, 32731, 30819, 3233, 27008, 429, 582, 11523, 518, 451, 25944, 220, 17, 15, 16, 16, 13, 4220, 4119, 1083, 614, 264, 42638, 488, 5312, 47502, 1465, 518, 1449, 19569, 323, 16085, 653, 537, 7676, 504, 279, 5242, 10976, 20169, 3491, 13, 576, 1887, 320, 3243, 10170, 11799, 525, 279, 10431, 315, 264, 7608, 1870, 13482, 4982, 4518, 315, 14197, 71, 323, 64851, 6133, 311, 614, 264, 8781, 5944, 892, 374, 1101, 264, 3281, 1142, 315, 264, 4916, 5944, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432 ]
[ 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
[ 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1 ]
[ 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5 ]
6