Datasets:

---

sumuks

/

purple_wintermute_0.1_training_data_in_progress

like 0

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]

[ 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 ]