Datasets:
sumuks
/
purple_wintermute_0.1_training_data_in_progress

Dataset card Data Studio Files Community
Search is not available for this dataset
input_ids
sequencelengths
2
512
attention_mask
sequencelengths
2
512
labels
sequencelengths
2
512
position_ids
sequencelengths
2
512
length
int64
2
512
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 30898, 52191, 4867, 975, 389, 30819, 3233, 954, 52498, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 1614, 4428, 311, 4867, 975, 389, 18267, 58515, 77990, 30819, 3233, 954, 52498, 11, 448, 8922, 11799, 304, 15099, 5746, 323, 5944, 382, 34764, 565, 10294, 8883, 198, 1986, 5868, 264, 4361, 2696, 1075, 279, 18267, 58515, 77990, 30819, 3233, 27008, 429, 582, 11523, 518, 16902, 45, 12567, 220, 17, 15, 16, 16, 508, 16, 60, 323, 279, 32731, 30819, 3233, 27008, 429, 582, 11523, 518, 451, 25944, 220, 17, 15, 16, 16, 13, 4220, 4119, 1083, 614, 264, 42638, 488, 5312, 47502, 1465, 518, 1449, 19569, 323, 16085, 653, 537, 7676, 504, 279, 5242, 10976, 20169, 3491, 13, 576, 1887, 320, 3243, 10170, 11799, 525, 279, 10431, 315, 264, 7608, 1870, 13482, 4982, 4518, 315, 14197, 71, 323, 64851, 6133, 311, 614, 264, 8781, 5944, 892, 374, 1101, 264, 3281, 1142, 315, 264, 4916, 5944, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 14374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 30898, 52191, 4867, 975, 389, 30819, 3233, 954, 52498, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 18404, 264, 1614, 4428, 311, 4867, 975, 389, 18267, 58515, 77990, 30819, 3233, 954, 52498, 11, 448, 8922, 11799, 304, 15099, 5746, 323, 5944, 382, 34764, 565, 10294, 8883, 198, 1986, 5868, 264, 4361, 2696, 1075, 279, 18267, 58515, 77990, 30819, 3233, 27008, 429, 582, 11523, 518, 16902, 45, 12567, 220, 17, 15, 16, 16, 508, 16, 60, 323, 279, 32731, 30819, 3233, 27008, 429, 582, 11523, 518, 451, 25944, 220, 17, 15, 16, 16, 13, 4220, 4119, 1083, 614, 264, 42638, 488, 5312, 47502, 1465, 518, 1449, 19569, 323, 16085, 653, 537, 7676, 504, 279, 5242, 10976, 20169, 3491, 13, 576, 1887, 320, 3243, 10170, 11799, 525, 279, 10431, 315, 264, 7608, 1870, 13482, 4982, 4518, 315, 14197, 71, 323, 64851, 6133, 311, 614, 264, 8781, 5944, 892, 374, 1101, 264, 3281, 1142, 315, 264, 4916, 5944, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 198, 14374 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1 ]
[ 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4 ]
5
[ 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, 71021, 389, 2783, 3793, 323, 5242, 10976, 52149, 304, 75682, 14155, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 34334, 279, 9481, 315, 1667, 2783, 3793, 518, 1817, 19569, 304, 75682, 14155, 11, 7945, 304, 27020, 279, 5242, 10976, 20169, 3491, 323, 6832, 1293, 9663, 19543, 382, 34764, 565, 10294, 8883, 198, 687, 52312, 11, 3432, 264, 2783, 4647, 518, 1817, 19569, 320, 1678, 3019, 315, 279, 75682, 3922, 8, 1558, 537, 21725, 279, 5242, 10976, 20169, 3491, 12069, 576, 2805, 9663, 19543, 646, 1431, 387, 9498, 1526, 279, 20169, 389, 279, 2783, 389, 279, 4124, 25687, 11, 714, 279, 1293, 9663, 6239, 1231, 2058, 387, 74198, 9498, 13, 4695, 432, 1231, 387, 429, 825, 374, 17605, 320, 437, 429, 1410, 3796, 304, 697, 6243, 8, 323, 429, 279, 14324, 429, 525, 8311, 369, 2087, 504, 279, 1584, 518, 259, 311, 264, 2613, 2783, 518, 259, 10, 20255, 448, 2613, 9477, 525, 1083, 8311, 369, 76291, 279, 5021, 4647, 7049, 369, 3460, 9477, 13, 2619, 525, 1661, 10295, 315, 429, 304, 279, 17206, 13, 362, 21357, 3110, 374, 279, 64074, 3922, 429, 46210, 279, 49615, 315, 264, 8500, 13, 9211, 315, 279, 30819, 6993, 315, 279, 6291, 11, 421, 498, 653, 264, 1602, 1661, 2618, 518, 51897, 279, 49615, 369, 2805, 23700, 11, 1052, 374, 264, 1661, 6012, 429, 279, 6291, 686, 92540, 10277, 311, 1753, 5021, 23700, 13, 31040, 264, 29576, 429, 8471, 448, 2805, 23700, 323, 26024, 2239, 311, 5021, 6174, 374, 2952, 311, 11625, 279, 3491, 11, 1380, 1172, 4862, 504, 1293, 6174, 2041, 28439, 11550, 518, 1449, 882, 3019, 6587, 14525, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 71021, 389, 2783, 3793, 323, 5242, 10976, 52149, 304, 75682, 14155, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 34334, 279, 9481, 315, 1667, 2783, 3793, 518, 1817, 19569, 304, 75682, 14155, 11, 7945, 304, 27020, 279, 5242, 10976, 20169, 3491, 323, 6832, 1293, 9663, 19543, 382, 34764, 565, 10294, 8883, 198, 687, 52312, 11, 3432, 264, 2783, 4647, 518, 1817, 19569, 320, 1678, 3019, 315, 279, 75682, 3922, 8, 1558, 537, 21725, 279, 5242, 10976, 20169, 3491, 12069, 576, 2805, 9663, 19543, 646, 1431, 387, 9498, 1526, 279, 20169, 389, 279, 2783, 389, 279, 4124, 25687, 11, 714, 279, 1293, 9663, 6239, 1231, 2058, 387, 74198, 9498, 13, 4695, 432, 1231, 387, 429, 825, 374, 17605, 320, 437, 429, 1410, 3796, 304, 697, 6243, 8, 323, 429, 279, 14324, 429, 525, 8311, 369, 2087, 504, 279, 1584, 518, 259, 311, 264, 2613, 2783, 518, 259, 10, 20255, 448, 2613, 9477, 525, 1083, 8311, 369, 76291, 279, 5021, 4647, 7049, 369, 3460, 9477, 13, 2619, 525, 1661, 10295, 315, 429, 304, 279, 17206, 13, 362, 21357, 3110, 374, 279, 64074, 3922, 429, 46210, 279, 49615, 315, 264, 8500, 13, 9211, 315, 279, 30819, 6993, 315, 279, 6291, 11, 421, 498, 653, 264, 1602, 1661, 2618, 518, 51897, 279, 49615, 369, 2805, 23700, 11, 1052, 374, 264, 1661, 6012, 429, 279, 6291, 686, 92540, 10277, 311, 1753, 5021, 23700, 13, 31040, 264, 29576, 429, 8471, 448, 2805, 23700, 323, 26024, 2239, 311, 5021, 6174, 374, 2952, 311, 11625, 279, 3491, 11, 1380, 1172, 4862, 504, 1293, 6174, 2041, 28439, 11550, 518, 1449, 882, 3019, 6587, 14525, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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 ]
[ 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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
[ 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 71021, 389, 2783, 3793, 323, 5242, 10976, 52149, 304, 75682, 14155, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 34334, 279, 9481, 315, 1667, 2783, 3793, 518, 1817, 19569, 304, 75682, 14155, 11, 7945, 304, 27020, 279, 5242, 10976, 20169, 3491, 323, 6832, 1293, 9663, 19543, 382, 34764, 565, 10294, 8883, 198, 687, 52312, 11, 3432, 264, 2783, 4647, 518, 1817, 19569, 320, 1678, 3019, 315, 279, 75682, 3922, 8, 1558, 537, 21725, 279, 5242, 10976, 20169, 3491, 12069, 576, 2805, 9663, 19543, 646, 1431, 387, 9498, 1526, 279, 20169, 389, 279, 2783, 389, 279, 4124, 25687, 11, 714, 279, 1293, 9663, 6239, 1231, 2058, 387, 74198, 9498, 13, 4695, 432, 1231, 387, 429, 825, 374, 17605, 320, 437, 429, 1410, 3796, 304, 697, 6243, 8, 323, 429, 279, 14324, 429, 525, 8311, 369, 2087, 504, 279, 1584, 518, 259, 311, 264, 2613, 2783, 518, 259, 10, 20255, 448, 2613, 9477, 525, 1083, 8311, 369, 76291, 279, 5021, 4647, 7049, 369, 3460, 9477, 13, 2619, 525, 1661, 10295, 315, 429, 304, 279, 17206, 13, 362, 21357, 3110, 374 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 71021, 389, 2783, 3793, 323, 5242, 10976, 52149, 304, 75682, 14155, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 34334, 279, 9481, 315, 1667, 2783, 3793, 518, 1817, 19569, 304, 75682, 14155, 11, 7945, 304, 27020, 279, 5242, 10976, 20169, 3491, 323, 6832, 1293, 9663, 19543, 382, 34764, 565, 10294, 8883, 198, 687, 52312, 11, 3432, 264, 2783, 4647, 518, 1817, 19569, 320, 1678, 3019, 315, 279, 75682, 3922, 8, 1558, 537, 21725, 279, 5242, 10976, 20169, 3491, 12069, 576, 2805, 9663, 19543, 646, 1431, 387, 9498, 1526, 279, 20169, 389, 279, 2783, 389, 279, 4124, 25687, 11, 714, 279, 1293, 9663, 6239, 1231, 2058, 387, 74198, 9498, 13, 4695, 432, 1231, 387, 429, 825, 374, 17605, 320, 437, 429, 1410, 3796, 304, 697, 6243, 8, 323, 429, 279, 14324, 429, 525, 8311, 369, 2087, 504, 279, 1584, 518, 259, 311, 264, 2613, 2783, 518, 259, 10, 20255, 448, 2613, 9477, 525, 1083, 8311, 369, 76291, 279, 5021, 4647, 7049, 369, 3460, 9477, 13, 2619, 525, 1661, 10295, 315, 429, 304, 279, 17206, 13, 362, 21357, 3110, 374 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 279, 64074, 3922, 429, 46210, 279, 49615, 315, 264, 8500, 13, 9211, 315, 279, 30819, 6993, 315, 279, 6291, 11, 421, 498, 653, 264, 1602, 1661, 2618, 518, 51897, 279, 49615, 369, 2805, 23700, 11, 1052, 374, 264, 1661, 6012, 429, 279, 6291, 686, 92540, 10277, 311, 1753, 5021, 23700, 13, 31040, 264, 29576, 429, 8471, 448, 2805, 23700, 323, 26024, 2239, 311, 5021, 6174, 374, 2952, 311, 11625, 279, 3491, 11, 1380, 1172, 4862, 504, 1293, 6174, 2041, 28439, 11550, 518, 1449, 882, 3019, 6587, 14525, 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 ]
[ 279, 64074, 3922, 429, 46210, 279, 49615, 315, 264, 8500, 13, 9211, 315, 279, 30819, 6993, 315, 279, 6291, 11, 421, 498, 653, 264, 1602, 1661, 2618, 518, 51897, 279, 49615, 369, 2805, 23700, 11, 1052, 374, 264, 1661, 6012, 429, 279, 6291, 686, 92540, 10277, 311, 1753, 5021, 23700, 13, 31040, 264, 29576, 429, 8471, 448, 2805, 23700, 323, 26024, 2239, 311, 5021, 6174, 374, 2952, 311, 11625, 279, 3491, 11, 1380, 1172, 4862, 504, 1293, 6174, 2041, 28439, 11550, 518, 1449, 882, 3019, 6587, 14525, 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
[ 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, 69123, 7101, 315, 8177, 8153, 304, 5538, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 58938, 315, 8177, 8153, 1119, 536, 8153, 323, 5479, 8153, 11, 37078, 311, 827, 306, 4044, 16533, 9363, 315, 22990, 304, 5538, 6832, 43613, 382, 34764, 565, 10294, 8883, 198, 785, 58938, 315, 8177, 8153, 1119, 536, 8153, 323, 5479, 8153, 374, 26291, 323, 33061, 448, 1128, 358, 2908, 264, 8622, 16538, 369, 5538, 6832, 11, 600, 1734, 2572, 6832, 43613, 1380, 279, 9498, 4419, 827, 306, 4044, 279, 16533, 9363, 315, 22990, 13, 8429, 653, 498, 1744, 419, 58938, 374, 12482, 30, 3555, 525, 279, 16587, 13966, 315, 697, 6505, 429, 525, 5871, 311, 22986, 429, 2456, 1939, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 4650, 369, 5089, 5421, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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 ]
[ 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, 69123, 7101, 315, 8177, 8153, 304, 5538, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 58938, 315, 8177, 8153, 1119, 536, 8153, 323, 5479, 8153, 11, 37078, 311, 827, 306, 4044, 16533, 9363, 315, 22990, 304, 5538, 6832, 43613, 382, 34764, 565, 10294, 8883, 198, 785, 58938, 315, 8177, 8153, 1119, 536, 8153, 323, 5479, 8153, 374, 26291, 323, 33061, 448, 1128, 358, 2908, 264, 8622, 16538, 369, 5538, 6832, 11, 600, 1734, 2572, 6832, 43613, 1380, 279, 9498, 4419, 827, 306, 4044, 279, 16533, 9363, 315, 22990, 13, 8429, 653, 498, 1744, 419, 58938, 374, 12482, 30, 3555, 525, 279, 16587, 13966, 315, 697, 6505, 429, 525, 5871, 311, 22986, 429, 2456, 1939, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 4650, 369, 5089, 5421, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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
[ 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 69123, 7101, 315, 8177, 8153, 304, 5538, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 58938, 315, 8177, 8153, 1119, 536, 8153, 323, 5479, 8153, 11, 37078, 311, 827, 306, 4044, 16533, 9363, 315, 22990, 304, 5538, 6832, 43613, 382, 34764, 565, 10294, 8883, 198, 785, 58938, 315, 8177, 8153, 1119, 536, 8153, 323, 5479, 8153, 374, 26291, 323, 33061, 448, 1128, 358, 2908, 264, 8622, 16538, 369, 5538, 6832, 11, 600, 1734, 2572, 6832, 43613, 1380, 279, 9498, 4419, 827, 306, 4044, 279, 16533, 9363, 315, 22990, 13, 8429, 653, 498, 1744, 419, 58938, 374, 12482, 30, 3555, 525, 279, 16587, 13966, 315, 697, 6505, 429, 525, 5871, 311, 22986, 429, 2456, 1939, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 4650, 369, 5089, 5421, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 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 ]
[ 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 69123, 7101, 315, 8177, 8153, 304, 5538, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 279, 58938, 315, 8177, 8153, 1119, 536, 8153, 323, 5479, 8153, 11, 37078, 311, 827, 306, 4044, 16533, 9363, 315, 22990, 304, 5538, 6832, 43613, 382, 34764, 565, 10294, 8883, 198, 785, 58938, 315, 8177, 8153, 1119, 536, 8153, 323, 5479, 8153, 374, 26291, 323, 33061, 448, 1128, 358, 2908, 264, 8622, 16538, 369, 5538, 6832, 11, 600, 1734, 2572, 6832, 43613, 1380, 279, 9498, 4419, 827, 306, 4044, 279, 16533, 9363, 315, 22990, 13, 8429, 653, 498, 1744, 419, 58938, 374, 12482, 30, 3555, 525, 279, 16587, 13966, 315, 697, 6505, 429, 525, 5871, 311, 22986, 429, 2456, 1939, 34764, 565, 10294, 19216, 198, 47586, 4522, 448, 4650, 369, 5089, 5421, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 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
[ 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, 693, 3231, 5538, 14155, 448, 17339, 14324, 369, 2168, 23850, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 11514, 5486, 1667, 5538, 29728, 14155, 448, 17339, 14324, 304, 264, 64074, 17646, 369, 2168, 23850, 13, 576, 1887, 4522, 374, 7040, 323, 702, 4650, 369, 10219, 11, 3498, 1181, 66309, 8674, 311, 4867, 975, 374, 24416, 382, 34764, 565, 10294, 8883, 198, 57890, 29614, 458, 7040, 4522, 311, 990, 5538, 29728, 14155, 448, 17339, 14324, 320, 2758, 951, 17646, 8, 369, 2168, 23850, 13, 4354, 11, 358, 1079, 537, 11285, 3322, 448, 279, 4867, 975, 311, 11651, 66309, 315, 279, 4522, 13, 16377, 11, 358, 2908, 279, 1887, 4522, 7040, 11, 323, 358, 4411, 432, 1035, 2990, 311, 7040, 20333, 518, 279, 9816, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 18, 25, 358, 1079, 14138, 16506, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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, 693, 3231, 5538, 14155, 448, 17339, 14324, 369, 2168, 23850, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 11514, 5486, 1667, 5538, 29728, 14155, 448, 17339, 14324, 304, 264, 64074, 17646, 369, 2168, 23850, 13, 576, 1887, 4522, 374, 7040, 323, 702, 4650, 369, 10219, 11, 3498, 1181, 66309, 8674, 311, 4867, 975, 374, 24416, 382, 34764, 565, 10294, 8883, 198, 57890, 29614, 458, 7040, 4522, 311, 990, 5538, 29728, 14155, 448, 17339, 14324, 320, 2758, 951, 17646, 8, 369, 2168, 23850, 13, 4354, 11, 358, 1079, 537, 11285, 3322, 448, 279, 4867, 975, 311, 11651, 66309, 315, 279, 4522, 13, 16377, 11, 358, 2908, 279, 1887, 4522, 7040, 11, 323, 358, 4411, 432, 1035, 2990, 311, 7040, 20333, 518, 279, 9816, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 18, 25, 358, 1079, 14138, 16506, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490 ]
491
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 693, 3231, 5538, 14155, 448, 17339, 14324, 369, 2168, 23850, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 11514, 5486, 1667, 5538, 29728, 14155, 448, 17339, 14324, 304, 264, 64074, 17646, 369, 2168, 23850, 13, 576, 1887, 4522, 374, 7040, 323, 702, 4650, 369, 10219, 11, 3498, 1181, 66309, 8674, 311, 4867, 975, 374, 24416, 382, 34764, 565, 10294, 8883, 198, 57890, 29614, 458, 7040, 4522, 311, 990, 5538, 29728, 14155, 448, 17339, 14324, 320, 2758, 951, 17646, 8, 369, 2168, 23850, 13, 4354, 11, 358, 1079, 537, 11285, 3322, 448, 279, 4867, 975, 311, 11651, 66309, 315, 279, 4522, 13, 16377, 11, 358, 2908, 279, 1887, 4522, 7040, 11, 323, 358, 4411, 432, 1035, 2990, 311, 7040, 20333, 518, 279, 9816, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 18, 25, 358, 1079, 14138, 16506, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 693, 3231, 5538, 14155, 448, 17339, 14324, 369, 2168, 23850, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 11514, 5486, 1667, 5538, 29728, 14155, 448, 17339, 14324, 304, 264, 64074, 17646, 369, 2168, 23850, 13, 576, 1887, 4522, 374, 7040, 323, 702, 4650, 369, 10219, 11, 3498, 1181, 66309, 8674, 311, 4867, 975, 374, 24416, 382, 34764, 565, 10294, 8883, 198, 57890, 29614, 458, 7040, 4522, 311, 990, 5538, 29728, 14155, 448, 17339, 14324, 320, 2758, 951, 17646, 8, 369, 2168, 23850, 13, 4354, 11, 358, 1079, 537, 11285, 3322, 448, 279, 4867, 975, 311, 11651, 66309, 315, 279, 4522, 13, 16377, 11, 358, 2908, 279, 1887, 4522, 7040, 11, 323, 358, 4411, 432, 1035, 2990, 311, 7040, 20333, 518, 279, 9816, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 18, 25, 358, 1079, 14138, 16506, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489 ]
490
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 693, 3231, 71794, 8979, 12, 7408, 52498, 448, 3660, 7658, 46047, 7954, 33099, 367, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 3233, 27008, 17646, 1380, 458, 23668, 374, 5367, 657, 916, 5248, 7354, 11, 448, 23722, 8241, 49083, 369, 8177, 8153, 518, 1817, 3019, 13, 576, 1614, 5646, 264, 24551, 369, 42638, 323, 264, 76369, 369, 23850, 11, 16176, 1667, 264, 10601, 315, 42638, 323, 23850, 4709, 13, 576, 1376, 4522, 374, 429, 8177, 8153, 53163, 1119, 949, 19892, 1199, 320, 1958, 42638, 8, 323, 69536, 8153, 320, 1958, 23850, 701, 10004, 264, 4911, 5486, 311, 8660, 23850, 23783, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 279, 2701, 22990, 315, 458, 3233, 27008, 25, 1527, 23668, 320, 4197, 92874, 2477, 1056, 10748, 8, 374, 5367, 657, 369, 220, 16, 16, 7354, 11, 448, 23722, 8241, 49083, 369, 279, 305, 1772, 724, 518, 1817, 3019, 13, 86540, 11, 264, 24551, 43828, 82, 279, 821, 504, 279, 1537, 29208, 305, 1772, 724, 13, 758, 5256, 11, 264, 76369, 57203, 536, 6942, 82, 504, 279, 1537, 29208, 305, 1772, 724, 13, 576, 1614, 374, 16176, 389, 29829, 821, 1667, 279, 2629, 315, 42638, 323, 23850, 4709, 13, 2014, 2736, 6975, 454, 77990, 855, 85370, 279, 23850, 4709, 646, 387, 12036, 15102, 13, 1084, 374, 18280, 429, 4862, 279, 17646, 11137, 305, 1772, 724, 311, 53163, 1119, 1378, 12829, 315, 4982, 320, 269, 7196, 264, 85801, 1648, 949, 19892, 1199, 11, 892, 14576, 1430, 311, 2736, 42638, 11, 323, 69536, 8153, 11, 892, 1430, 311, 2736, 23850, 382, 34764, 565, 10294, 19216, 198, 22, 25, 7684, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 693, 3231, 71794, 8979, 12, 7408, 52498, 448, 3660, 7658, 46047, 7954, 33099, 367, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 3233, 27008, 17646, 1380, 458, 23668, 374, 5367, 657, 916, 5248, 7354, 11, 448, 23722, 8241, 49083, 369, 8177, 8153, 518, 1817, 3019, 13, 576, 1614, 5646, 264, 24551, 369, 42638, 323, 264, 76369, 369, 23850, 11, 16176, 1667, 264, 10601, 315, 42638, 323, 23850, 4709, 13, 576, 1376, 4522, 374, 429, 8177, 8153, 53163, 1119, 949, 19892, 1199, 320, 1958, 42638, 8, 323, 69536, 8153, 320, 1958, 23850, 701, 10004, 264, 4911, 5486, 311, 8660, 23850, 23783, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 279, 2701, 22990, 315, 458, 3233, 27008, 25, 1527, 23668, 320, 4197, 92874, 2477, 1056, 10748, 8, 374, 5367, 657, 369, 220, 16, 16, 7354, 11, 448, 23722, 8241, 49083, 369, 279, 305, 1772, 724, 518, 1817, 3019, 13, 86540, 11, 264, 24551, 43828, 82, 279, 821, 504, 279, 1537, 29208, 305, 1772, 724, 13, 758, 5256, 11, 264, 76369, 57203, 536, 6942, 82, 504, 279, 1537, 29208, 305, 1772, 724, 13, 576, 1614, 374, 16176, 389, 29829, 821, 1667, 279, 2629, 315, 42638, 323, 23850, 4709, 13, 2014, 2736, 6975, 454, 77990, 855, 85370, 279, 23850, 4709, 646, 387, 12036, 15102, 13, 1084, 374, 18280, 429, 4862, 279, 17646, 11137, 305, 1772, 724, 311, 53163, 1119, 1378, 12829, 315, 4982, 320, 269, 7196, 264, 85801, 1648, 949, 19892, 1199, 11, 892, 14576, 1430, 311, 2736, 42638, 11, 323, 69536, 8153, 11, 892, 1430, 311, 2736, 23850, 382, 34764, 565, 10294, 19216, 198, 22, 25, 7684, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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 ]
[ 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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
[ 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 693, 3231, 71794, 8979, 12, 7408, 52498, 448, 3660, 7658, 46047, 7954, 33099, 367, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 3233, 27008, 17646, 1380, 458, 23668, 374, 5367, 657, 916, 5248, 7354, 11, 448, 23722, 8241, 49083, 369, 8177, 8153, 518, 1817, 3019, 13, 576, 1614, 5646, 264, 24551, 369, 42638, 323, 264, 76369, 369, 23850, 11, 16176, 1667, 264, 10601, 315, 42638, 323, 23850, 4709, 13, 576, 1376, 4522, 374, 429, 8177, 8153, 53163, 1119, 949, 19892, 1199, 320, 1958, 42638, 8, 323, 69536, 8153, 320, 1958, 23850, 701, 10004, 264, 4911, 5486, 311, 8660, 23850, 23783, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 279, 2701, 22990, 315, 458, 3233, 27008, 25, 1527, 23668, 320, 4197, 92874, 2477, 1056, 10748, 8, 374, 5367, 657, 369, 220, 16, 16, 7354, 11, 448, 23722, 8241, 49083, 369, 279, 305, 1772, 724, 518, 1817, 3019, 13, 86540, 11, 264, 24551, 43828, 82, 279, 821, 504, 279, 1537, 29208, 305, 1772, 724, 13, 758, 5256, 11, 264, 76369, 57203, 536, 6942, 82, 504, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 693, 3231, 71794, 8979, 12, 7408, 52498, 448, 3660, 7658, 46047, 7954, 33099, 367, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 3233, 27008, 17646, 1380, 458, 23668, 374, 5367, 657, 916, 5248, 7354, 11, 448, 23722, 8241, 49083, 369, 8177, 8153, 518, 1817, 3019, 13, 576, 1614, 5646, 264, 24551, 369, 42638, 323, 264, 76369, 369, 23850, 11, 16176, 1667, 264, 10601, 315, 42638, 323, 23850, 4709, 13, 576, 1376, 4522, 374, 429, 8177, 8153, 53163, 1119, 949, 19892, 1199, 320, 1958, 42638, 8, 323, 69536, 8153, 320, 1958, 23850, 701, 10004, 264, 4911, 5486, 311, 8660, 23850, 23783, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 279, 2701, 22990, 315, 458, 3233, 27008, 25, 1527, 23668, 320, 4197, 92874, 2477, 1056, 10748, 8, 374, 5367, 657, 369, 220, 16, 16, 7354, 11, 448, 23722, 8241, 49083, 369, 279, 305, 1772, 724, 518, 1817, 3019, 13, 86540, 11, 264, 24551, 43828, 82, 279, 821, 504, 279, 1537, 29208, 305, 1772, 724, 13, 758, 5256, 11, 264, 76369, 57203, 536, 6942, 82, 504, 279 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 1537, 29208, 305, 1772, 724, 13, 576, 1614, 374, 16176, 389, 29829, 821, 1667, 279, 2629, 315, 42638, 323, 23850, 4709, 13, 2014, 2736, 6975, 454, 77990, 855, 85370, 279, 23850, 4709, 646, 387, 12036, 15102, 13, 1084, 374, 18280, 429, 4862, 279, 17646, 11137, 305, 1772, 724, 311, 53163, 1119, 1378, 12829, 315, 4982, 320, 269, 7196, 264, 85801, 1648, 949, 19892, 1199, 11, 892, 14576, 1430, 311, 2736, 42638, 11, 323, 69536, 8153, 11, 892, 1430, 311, 2736, 23850, 382, 34764, 565, 10294, 19216, 198, 22, 25, 7684, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1537, 29208, 305, 1772, 724, 13, 576, 1614, 374, 16176, 389, 29829, 821, 1667, 279, 2629, 315, 42638, 323, 23850, 4709, 13, 2014, 2736, 6975, 454, 77990, 855, 85370, 279, 23850, 4709, 646, 387, 12036, 15102, 13, 1084, 374, 18280, 429, 4862, 279, 17646, 11137, 305, 1772, 724, 311, 53163, 1119, 1378, 12829, 315, 4982, 320, 269, 7196, 264, 85801, 1648, 949, 19892, 1199, 11, 892, 14576, 1430, 311, 2736, 42638, 11, 323, 69536, 8153, 11, 892, 1430, 311, 2736, 23850, 382, 34764, 565, 10294, 19216, 198, 22, 25, 7684, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114 ]
115
[ 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, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 320, 8847, 7778, 36, 701, 21080, 389, 279, 69894, 58938, 315, 8177, 13617, 1119, 949, 8153, 323, 69536, 8153, 13, 576, 1614, 374, 29139, 304, 12313, 311, 64074, 29728, 14155, 323, 5538, 4119, 448, 17339, 14324, 11, 448, 20333, 389, 4862, 23783, 323, 16982, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 38919, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 11, 264, 501, 1614, 11, 714, 803, 22813, 264, 16585, 6358, 315, 279, 16999, 315, 419, 1614, 13, 1084, 13230, 429, 279, 8177, 13617, 315, 279, 1614, 3960, 311, 53163, 1119, 264, 69894, 5944, 11, 448, 949, 8153, 518, 279, 5622, 323, 69536, 8153, 389, 1909, 13, 16246, 23606, 320, 17, 8, 432, 4977, 429, 1614, 374, 1602, 4428, 311, 64074, 29728, 3922, 448, 7608, 3049, 8153, 438, 279, 825, 1483, 369, 384, 1302, 13, 304, 508, 16, 936, 576, 1887, 6672, 1035, 387, 1246, 279, 1614, 374, 1660, 16176, 320, 1782, 855, 85370, 6430, 438, 1632, 438, 279, 5107, 7049, 323, 4680, 7465, 16982, 568, 5542, 419, 13057, 11, 279, 58938, 1035, 387, 429, 949, 8153, 614, 7469, 64074, 13234, 323, 525, 10838, 10008, 553, 279, 1946, 320, 72, 1734, 13, 35692, 438, 296, 13545, 8153, 1035, 701, 1393, 69536, 8153, 614, 3746, 64074, 13234, 13, 3197, 44291, 429, 279, 1614, 374, 4428, 311, 264, 5538, 1614, 448, 17339, 14324, 11, 825, 1265, 315, 3308, 1281, 432, 2797, 429, 36838, 311, 17339, 14324, 11, 498, 5395, 279, 1946, 320, 24063, 1946, 8, 518, 1817, 6193, 13, 2411, 3245, 419, 374, 1128, 23606, 320, 17, 8, 13230, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 320, 8847, 7778, 36, 701, 21080, 389, 279, 69894, 58938, 315, 8177, 13617, 1119, 949, 8153, 323, 69536, 8153, 13, 576, 1614, 374, 29139, 304, 12313, 311, 64074, 29728, 14155, 323, 5538, 4119, 448, 17339, 14324, 11, 448, 20333, 389, 4862, 23783, 323, 16982, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 38919, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 11, 264, 501, 1614, 11, 714, 803, 22813, 264, 16585, 6358, 315, 279, 16999, 315, 419, 1614, 13, 1084, 13230, 429, 279, 8177, 13617, 315, 279, 1614, 3960, 311, 53163, 1119, 264, 69894, 5944, 11, 448, 949, 8153, 518, 279, 5622, 323, 69536, 8153, 389, 1909, 13, 16246, 23606, 320, 17, 8, 432, 4977, 429, 1614, 374, 1602, 4428, 311, 64074, 29728, 3922, 448, 7608, 3049, 8153, 438, 279, 825, 1483, 369, 384, 1302, 13, 304, 508, 16, 936, 576, 1887, 6672, 1035, 387, 1246, 279, 1614, 374, 1660, 16176, 320, 1782, 855, 85370, 6430, 438, 1632, 438, 279, 5107, 7049, 323, 4680, 7465, 16982, 568, 5542, 419, 13057, 11, 279, 58938, 1035, 387, 429, 949, 8153, 614, 7469, 64074, 13234, 323, 525, 10838, 10008, 553, 279, 1946, 320, 72, 1734, 13, 35692, 438, 296, 13545, 8153, 1035, 701, 1393, 69536, 8153, 614, 3746, 64074, 13234, 13, 3197, 44291, 429, 279, 1614, 374, 4428, 311, 264, 5538, 1614, 448, 17339, 14324, 11, 825, 1265, 315, 3308, 1281, 432, 2797, 429, 36838, 311, 17339, 14324, 11, 498, 5395, 279, 1946, 320, 24063, 1946, 8, 518, 1817, 6193, 13, 2411, 3245, 419, 374, 1128, 23606, 320, 17, 8, 13230, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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 ]
[ 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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
[ 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 320, 8847, 7778, 36, 701, 21080, 389, 279, 69894, 58938, 315, 8177, 13617, 1119, 949, 8153, 323, 69536, 8153, 13, 576, 1614, 374, 29139, 304, 12313, 311, 64074, 29728, 14155, 323, 5538, 4119, 448, 17339, 14324, 11, 448, 20333, 389, 4862, 23783, 323, 16982, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 38919, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 11, 264, 501, 1614, 11, 714, 803, 22813, 264, 16585, 6358, 315, 279, 16999, 315, 419, 1614, 13, 1084, 13230, 429, 279, 8177, 13617, 315, 279, 1614, 3960, 311, 53163, 1119, 264, 69894, 5944, 11, 448, 949, 8153, 518, 279, 5622, 323, 69536, 8153, 389, 1909, 13, 16246, 23606, 320, 17, 8, 432, 4977, 429, 1614, 374, 1602, 4428, 311, 64074, 29728, 3922, 448, 7608, 3049, 8153, 438, 279, 825, 1483, 369, 384, 1302, 13, 304, 508, 16, 936, 576, 1887, 6672, 1035, 387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 26573, 315, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 320, 8847, 7778, 36, 701, 21080, 389, 279, 69894, 58938, 315, 8177, 13617, 1119, 949, 8153, 323, 69536, 8153, 13, 576, 1614, 374, 29139, 304, 12313, 311, 64074, 29728, 14155, 323, 5538, 4119, 448, 17339, 14324, 11, 448, 20333, 389, 4862, 23783, 323, 16982, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 38919, 77300, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 11, 264, 501, 1614, 11, 714, 803, 22813, 264, 16585, 6358, 315, 279, 16999, 315, 419, 1614, 13, 1084, 13230, 429, 279, 8177, 13617, 315, 279, 1614, 3960, 311, 53163, 1119, 264, 69894, 5944, 11, 448, 949, 8153, 518, 279, 5622, 323, 69536, 8153, 389, 1909, 13, 16246, 23606, 320, 17, 8, 432, 4977, 429, 1614, 374, 1602, 4428, 311, 64074, 29728, 3922, 448, 7608, 3049, 8153, 438, 279, 825, 1483, 369, 384, 1302, 13, 304, 508, 16, 936, 576, 1887, 6672, 1035, 387 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 1246, 279, 1614, 374, 1660, 16176, 320, 1782, 855, 85370, 6430, 438, 1632, 438, 279, 5107, 7049, 323, 4680, 7465, 16982, 568, 5542, 419, 13057, 11, 279, 58938, 1035, 387, 429, 949, 8153, 614, 7469, 64074, 13234, 323, 525, 10838, 10008, 553, 279, 1946, 320, 72, 1734, 13, 35692, 438, 296, 13545, 8153, 1035, 701, 1393, 69536, 8153, 614, 3746, 64074, 13234, 13, 3197, 44291, 429, 279, 1614, 374, 4428, 311, 264, 5538, 1614, 448, 17339, 14324, 11, 825, 1265, 315, 3308, 1281, 432, 2797, 429, 36838, 311, 17339, 14324, 11, 498, 5395, 279, 1946, 320, 24063, 1946, 8, 518, 1817, 6193, 13, 2411, 3245, 419, 374, 1128, 23606, 320, 17, 8, 13230, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1246, 279, 1614, 374, 1660, 16176, 320, 1782, 855, 85370, 6430, 438, 1632, 438, 279, 5107, 7049, 323, 4680, 7465, 16982, 568, 5542, 419, 13057, 11, 279, 58938, 1035, 387, 429, 949, 8153, 614, 7469, 64074, 13234, 323, 525, 10838, 10008, 553, 279, 1946, 320, 72, 1734, 13, 35692, 438, 296, 13545, 8153, 1035, 701, 1393, 69536, 8153, 614, 3746, 64074, 13234, 13, 3197, 44291, 429, 279, 1614, 374, 4428, 311, 264, 5538, 1614, 448, 17339, 14324, 11, 825, 1265, 315, 3308, 1281, 432, 2797, 429, 36838, 311, 17339, 14324, 11, 498, 5395, 279, 1946, 320, 24063, 1946, 8, 518, 1817, 6193, 13, 2411, 3245, 419, 374, 1128, 23606, 320, 17, 8, 13230, 382, 34764, 565, 10294, 19216, 198, 18, 25, 7850, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 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
[ 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, 1351, 52, 8153, 304, 431, 9745, 82, 369, 11980, 13951, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 83263, 279, 990, 315, 1351, 52, 8153, 304, 431, 9745, 82, 11, 26297, 1105, 311, 8606, 14197, 71, 8153, 11, 323, 40324, 862, 4650, 369, 11980, 13951, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 990, 315, 1351, 52, 8153, 304, 458, 431, 9745, 374, 2494, 358, 8990, 944, 3884, 1573, 13, 358, 4172, 387, 8014, 304, 1045, 10219, 389, 1246, 1351, 52, 42465, 311, 384, 1302, 13, 14197, 71, 8153, 304, 279, 64074, 6243, 13, 358, 12793, 1351, 52, 8153, 1231, 7676, 2686, 504, 5242, 10976, 2687, 266, 2017, 2337, 431, 9745, 4862, 13, 1084, 1035, 387, 6419, 311, 2664, 3535, 1246, 279, 12538, 498, 3042, 646, 387, 9251, 304, 264, 30549, 6243, 438, 16087, 311, 23850, 382, 34764, 565, 10294, 19216, 198, 22, 25, 3746, 20503, 11, 714, 537, 63855, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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 ]
[ 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, 1351, 52, 8153, 304, 431, 9745, 82, 369, 11980, 13951, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 83263, 279, 990, 315, 1351, 52, 8153, 304, 431, 9745, 82, 11, 26297, 1105, 311, 8606, 14197, 71, 8153, 11, 323, 40324, 862, 4650, 369, 11980, 13951, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 990, 315, 1351, 52, 8153, 304, 458, 431, 9745, 374, 2494, 358, 8990, 944, 3884, 1573, 13, 358, 4172, 387, 8014, 304, 1045, 10219, 389, 1246, 1351, 52, 42465, 311, 384, 1302, 13, 14197, 71, 8153, 304, 279, 64074, 6243, 13, 358, 12793, 1351, 52, 8153, 1231, 7676, 2686, 504, 5242, 10976, 2687, 266, 2017, 2337, 431, 9745, 4862, 13, 1084, 1035, 387, 6419, 311, 2664, 3535, 1246, 279, 12538, 498, 3042, 646, 387, 9251, 304, 264, 30549, 6243, 438, 16087, 311, 23850, 382, 34764, 565, 10294, 19216, 198, 22, 25, 3746, 20503, 11, 714, 537, 63855, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 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
[ 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 1351, 52, 8153, 304, 431, 9745, 82, 369, 11980, 13951, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 83263, 279, 990, 315, 1351, 52, 8153, 304, 431, 9745, 82, 11, 26297, 1105, 311, 8606, 14197, 71, 8153, 11, 323, 40324, 862, 4650, 369, 11980, 13951, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 990, 315, 1351, 52, 8153, 304, 458, 431, 9745, 374, 2494, 358, 8990, 944, 3884, 1573, 13, 358, 4172, 387, 8014, 304, 1045, 10219, 389, 1246, 1351, 52, 42465, 311, 384, 1302, 13, 14197, 71, 8153, 304, 279, 64074, 6243, 13, 358, 12793, 1351, 52, 8153, 1231, 7676, 2686, 504, 5242, 10976, 2687, 266, 2017, 2337, 431, 9745, 4862, 13, 1084, 1035, 387, 6419, 311, 2664, 3535, 1246, 279, 12538, 498, 3042, 646, 387, 9251, 304, 264, 30549, 6243, 438, 16087, 311, 23850, 382, 34764, 565, 10294, 19216, 198, 22, 25, 3746, 20503, 11, 714, 537, 63855, 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 ]
[ 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 1351, 52, 8153, 304, 431, 9745, 82, 369, 11980, 13951, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 83263, 279, 990, 315, 1351, 52, 8153, 304, 431, 9745, 82, 11, 26297, 1105, 311, 8606, 14197, 71, 8153, 11, 323, 40324, 862, 4650, 369, 11980, 13951, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 990, 315, 1351, 52, 8153, 304, 458, 431, 9745, 374, 2494, 358, 8990, 944, 3884, 1573, 13, 358, 4172, 387, 8014, 304, 1045, 10219, 389, 1246, 1351, 52, 42465, 311, 384, 1302, 13, 14197, 71, 8153, 304, 279, 64074, 6243, 13, 358, 12793, 1351, 52, 8153, 1231, 7676, 2686, 504, 5242, 10976, 2687, 266, 2017, 2337, 431, 9745, 4862, 13, 1084, 1035, 387, 6419, 311, 2664, 3535, 1246, 279, 12538, 498, 3042, 646, 387, 9251, 304, 264, 30549, 6243, 438, 16087, 311, 23850, 382, 34764, 565, 10294, 19216, 198, 22, 25, 3746, 20503, 11, 714, 537, 63855, 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
[ 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, 311, 4867, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 4362, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 4755, 279, 66309, 315, 279, 5486, 553, 26297, 432, 311, 4867, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 320, 5609, 1402, 82, 8, 323, 6975, 454, 77990, 3840, 25111, 11, 323, 21314, 279, 1184, 369, 63684, 389, 279, 5025, 311, 1493, 6788, 5413, 382, 34764, 565, 10294, 8883, 198, 3983, 1246, 374, 419, 5486, 5435, 311, 279, 4024, 11, 650, 36591, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 320, 5609, 1402, 82, 8, 553, 24385, 473, 320, 16, 24, 24, 15, 8, 323, 17639, 30, 3555, 594, 279, 1887, 6672, 11, 421, 894, 30, 21476, 369, 3681, 8357, 315, 28456, 1402, 82, 311, 6975, 454, 77990, 3840, 25111, 11, 384, 1302, 2572, 320, 38, 1038, 2892, 1842, 452, 11, 15082, 40, 220, 17, 15, 16, 16, 3593, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 36756, 66309, 476, 3746, 3633, 311, 4867, 975, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 12313, 311, 4867, 975, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 311, 4867, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 4362, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 4755, 279, 66309, 315, 279, 5486, 553, 26297, 432, 311, 4867, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 320, 5609, 1402, 82, 8, 323, 6975, 454, 77990, 3840, 25111, 11, 323, 21314, 279, 1184, 369, 63684, 389, 279, 5025, 311, 1493, 6788, 5413, 382, 34764, 565, 10294, 8883, 198, 3983, 1246, 374, 419, 5486, 5435, 311, 279, 4024, 11, 650, 36591, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 320, 5609, 1402, 82, 8, 553, 24385, 473, 320, 16, 24, 24, 15, 8, 323, 17639, 30, 3555, 594, 279, 1887, 6672, 11, 421, 894, 30, 21476, 369, 3681, 8357, 315, 28456, 1402, 82, 311, 6975, 454, 77990, 3840, 25111, 11, 384, 1302, 2572, 320, 38, 1038, 2892, 1842, 452, 11, 15082, 40, 220, 17, 15, 16, 16, 3593, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 36756, 66309, 476, 3746, 3633, 311, 4867, 975, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 12313, 311, 4867, 975, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 ]
15
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 311, 4867, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 4362, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 4755, 279, 66309, 315, 279, 5486, 553, 26297, 432, 311, 4867, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 320, 5609, 1402, 82, 8, 323, 6975, 454, 77990, 3840, 25111, 11, 323, 21314, 279, 1184, 369, 63684, 389, 279, 5025, 311, 1493, 6788, 5413, 382, 34764, 565, 10294, 8883, 198, 3983, 1246, 374, 419, 5486, 5435, 311, 279, 4024, 11, 650, 36591, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 320, 5609, 1402, 82, 8, 553, 24385, 473, 320, 16, 24, 24, 15, 8, 323, 17639, 30, 3555, 594, 279, 1887, 6672, 11, 421, 894, 30, 21476, 369, 3681, 8357, 315, 28456, 1402, 82, 311, 6975, 454, 77990, 3840, 25111, 11, 384, 1302, 2572, 320, 38, 1038, 2892, 1842, 452, 11, 15082, 40, 220, 17, 15, 16, 16, 3593, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 36756, 66309, 476, 3746, 3633, 311, 4867, 975, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23477, 6283, 258, 1388, 4067, 951, 71794, 8979, 12, 7408, 52498, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 49319, 1388, 64074, 33444, 3233, 12, 27008, 1614, 11, 892, 17167, 315, 458, 23668, 6693, 8177, 6193, 374, 64074, 11, 323, 1378, 13482, 1622, 52498, 11, 825, 311, 43828, 279, 1946, 11, 323, 825, 311, 7023, 279, 2550, 13, 576, 8177, 6193, 374, 23415, 315, 7608, 1870, 13482, 8153, 320, 79652, 8, 323, 374, 3832, 311, 264, 978, 70880, 16346, 13, 576, 3922, 374, 1156, 16176, 304, 6975, 454, 77990, 3856, 311, 43828, 279, 1946, 11, 323, 27420, 16176, 49319, 7887, 311, 1083, 8193, 279, 12685, 2550, 13, 576, 64074, 3922, 374, 882, 19892, 19961, 291, 448, 264, 2661, 1372, 315, 25687, 11, 323, 16176, 1667, 1182, 76571, 27137, 1526, 882, 13, 758, 1181, 882, 19892, 19961, 291, 1352, 11, 279, 3922, 646, 387, 3884, 438, 264, 1602, 5538, 7299, 47335, 3922, 304, 892, 279, 14324, 525, 6094, 1948, 279, 8177, 13617, 13, 576, 7990, 6147, 279, 1849, 311, 30224, 678, 279, 2355, 315, 5538, 3922, 1393, 31202, 17719, 279, 1372, 315, 87661, 5029, 13, 4710, 3830, 458, 15102, 650, 51143, 64074, 3922, 11, 279, 8177, 8153, 315, 49319, 1388, 64074, 33444, 3233, 12, 954, 52498, 17712, 30235, 1119, 264, 28922, 315, 4419, 13, 576, 5942, 87458, 46210, 69536, 19892, 1199, 11, 6693, 5702, 1936, 705, 916, 882, 1526, 21880, 448, 949, 19892, 1199, 11, 892, 4009, 78112, 804, 315, 19911, 382, 34764, 565, 13513, 55695, 198, 677, 16822, 6283, 258, 1388, 64074, 33444, 6, 364, 17511, 6, 364, 6263, 6193, 6, 364, 1355, 1248, 364, 4082, 6, 364, 1678, 6, 364, 6263, 8153, 6, 364, 2528, 6, 364, 27008, 6, 364, 2758, 951, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 311, 4867, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 4362, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 4755, 279, 66309, 315, 279, 5486, 553, 26297, 432, 311, 4867, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 320, 5609, 1402, 82, 8, 323, 6975, 454, 77990, 3840, 25111, 11, 323, 21314, 279, 1184, 369, 63684, 389, 279, 5025, 311, 1493, 6788, 5413, 382, 34764, 565, 10294, 8883, 198, 3983, 1246, 374, 419, 5486, 5435, 311, 279, 4024, 11, 650, 36591, 975, 389, 4067, 951, 8979, 12, 7408, 52498, 320, 5609, 1402, 82, 8, 553, 24385, 473, 320, 16, 24, 24, 15, 8, 323, 17639, 30, 3555, 594, 279, 1887, 6672, 11, 421, 894, 30, 21476, 369, 3681, 8357, 315, 28456, 1402, 82, 311, 6975, 454, 77990, 3840, 25111, 11, 384, 1302, 2572, 320, 38, 1038, 2892, 1842, 452, 11, 15082, 40, 220, 17, 15, 16, 16, 3593, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 36756, 66309, 476, 3746, 3633, 311, 4867, 975, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 3654, 911, 279, 12313, 311, 4867, 975, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3654, 911, 279, 12313, 311, 4867, 975, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 ]
14
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 10284, 4862, 1714, 369, 5952, 21634, 1667, 431, 9745, 12681, 5486, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 1714, 311, 52158, 5426, 279, 13617, 315, 264, 18183, 45947, 89, 17562, 12960, 320, 3506, 44, 8, 553, 45790, 432, 1119, 264, 4067, 951, 60477, 8141, 320, 49, 9745, 8, 323, 1667, 264, 3371, 78, 3791, 3233, 12, 27008, 12681, 4709, 13, 1096, 5486, 374, 11514, 323, 702, 4650, 311, 7269, 5952, 44, 19382, 9745, 4862, 11, 7945, 369, 2168, 13904, 9079, 382, 34764, 565, 10294, 8883, 198, 1986, 14719, 45251, 5567, 54625, 264, 501, 1714, 311, 52158, 5426, 279, 13617, 315, 264, 5952, 44, 13, 5952, 44, 525, 5990, 364, 1726, 68924, 6, 304, 264, 6193, 44439, 11566, 1667, 27974, 21634, 11, 264, 19669, 344, 2845, 1186, 2912, 2861, 10324, 13, 5692, 279, 12014, 29614, 311, 990, 264, 72349, 35957, 429, 13221, 10577, 279, 5952, 44, 1119, 264, 431, 9745, 13, 1096, 431, 9745, 374, 16176, 448, 264, 4709, 429, 52191, 429, 825, 315, 3371, 78, 3791, 3233, 12, 954, 52498, 320, 14689, 11127, 518, 4194, 525, 7402, 323, 279, 3383, 374, 311, 7023, 862, 2750, 504, 279, 13166, 6174, 568, 576, 1651, 315, 264, 5952, 44, 438, 3281, 3093, 315, 431, 9745, 374, 537, 501, 323, 279, 32344, 70859, 35957, 374, 537, 501, 2987, 11, 4764, 862, 10601, 374, 13, 358, 1079, 1602, 22208, 311, 1490, 3425, 419, 686, 975, 1576, 432, 1231, 19131, 264, 501, 1616, 311, 5426, 431, 9745, 82, 429, 646, 10767, 975, 1632, 369, 2168, 5435, 9079, 382, 34764, 565, 10294, 19216, 198, 15216, 4650, 11, 69251, 4024, 271, 34764, 565, 10294, 86324, 198, 60795, 398, 16506, 11, 714, 1045, 13566, 1184, 63684, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 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 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 10284, 4862, 1714, 369, 5952, 21634, 1667, 431, 9745, 12681, 5486, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 1714, 311, 52158, 5426, 279, 13617, 315, 264, 18183, 45947, 89, 17562, 12960, 320, 3506, 44, 8, 553, 45790, 432, 1119, 264, 4067, 951, 60477, 8141, 320, 49, 9745, 8, 323, 1667, 264, 3371, 78, 3791, 3233, 12, 27008, 12681, 4709, 13, 1096, 5486, 374, 11514, 323, 702, 4650, 311, 7269, 5952, 44, 19382, 9745, 4862, 11, 7945, 369, 2168, 13904, 9079, 382, 34764, 565, 10294, 8883, 198, 1986, 14719, 45251, 5567, 54625, 264, 501, 1714, 311, 52158, 5426, 279, 13617, 315, 264, 5952, 44, 13, 5952, 44, 525, 5990, 364, 1726, 68924, 6, 304, 264, 6193, 44439, 11566, 1667, 27974, 21634, 11, 264, 19669, 344, 2845, 1186, 2912, 2861, 10324, 13, 5692, 279, 12014, 29614, 311, 990, 264, 72349, 35957, 429, 13221, 10577, 279, 5952, 44, 1119, 264, 431, 9745, 13, 1096, 431, 9745, 374, 16176, 448, 264, 4709, 429, 52191, 429, 825, 315, 3371, 78, 3791, 3233, 12, 954, 52498, 320, 14689, 11127, 518, 4194, 525, 7402, 323, 279, 3383, 374, 311, 7023, 862, 2750, 504, 279, 13166, 6174, 568, 576, 1651, 315, 264, 5952, 44, 438, 3281, 3093, 315, 431, 9745, 374, 537, 501, 323, 279, 32344, 70859, 35957, 374, 537, 501, 2987, 11, 4764, 862, 10601, 374, 13, 358, 1079, 1602, 22208, 311, 1490, 3425, 419, 686, 975, 1576, 432, 1231, 19131, 264, 501, 1616, 311, 5426, 431, 9745, 82, 429, 646, 10767, 975, 1632, 369, 2168, 5435, 9079, 382, 34764, 565, 10294, 19216, 198, 15216, 4650, 11, 69251, 4024, 271, 34764, 565, 10294, 86324, 198, 60795, 398, 16506, 11, 714, 1045, 13566, 1184, 63684, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 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
[ 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, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 10284, 4862, 1714, 369, 5952, 21634, 1667, 431, 9745, 12681, 5486, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 1714, 311, 52158, 5426, 279, 13617, 315, 264, 18183, 45947, 89, 17562, 12960, 320, 3506, 44, 8, 553, 45790, 432, 1119, 264, 4067, 951, 60477, 8141, 320, 49, 9745, 8, 323, 1667, 264, 3371, 78, 3791, 3233, 12, 27008, 12681, 4709, 13, 1096, 5486, 374, 11514, 323, 702, 4650, 311, 7269, 5952, 44, 19382, 9745, 4862, 11, 7945, 369, 2168, 13904, 9079, 382, 34764, 565, 10294, 8883, 198, 1986, 14719, 45251, 5567, 54625, 264, 501, 1714, 311, 52158, 5426, 279, 13617, 315, 264, 5952, 44, 13, 5952, 44, 525, 5990, 364, 1726, 68924, 6, 304, 264, 6193, 44439, 11566, 1667, 27974, 21634, 11, 264, 19669, 344, 2845, 1186, 2912, 2861, 10324, 13, 5692, 279, 12014, 29614, 311, 990, 264, 72349, 35957, 429, 13221, 10577, 279, 5952, 44, 1119, 264, 431, 9745, 13, 1096, 431, 9745, 374, 16176, 448, 264, 4709, 429, 52191, 429, 825, 315, 3371, 78, 3791, 3233, 12, 954, 52498, 320, 14689, 11127, 518, 4194, 525, 7402, 323, 279, 3383, 374, 311, 7023, 862, 2750, 504, 279, 13166, 6174, 568, 576, 1651, 315, 264, 5952, 44, 438, 3281, 3093, 315, 431, 9745, 374, 537, 501, 323, 279, 32344, 70859, 35957, 374, 537, 501, 2987, 11, 4764, 862, 10601, 374, 13, 358, 1079, 1602, 22208, 311, 1490, 3425, 419, 686, 975, 1576, 432, 1231, 19131, 264, 501, 1616, 311, 5426, 431, 9745, 82, 429, 646, 10767, 975, 1632, 369, 2168, 5435, 9079, 382, 34764, 565, 10294, 19216, 198, 15216, 4650, 11, 69251, 4024, 271, 34764, 565, 10294, 86324, 198, 60795, 398, 16506, 11, 714, 1045, 13566, 1184, 63684, 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 ]
[ 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, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 10284, 4862, 1714, 369, 5952, 21634, 1667, 431, 9745, 12681, 5486, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 1714, 311, 52158, 5426, 279, 13617, 315, 264, 18183, 45947, 89, 17562, 12960, 320, 3506, 44, 8, 553, 45790, 432, 1119, 264, 4067, 951, 60477, 8141, 320, 49, 9745, 8, 323, 1667, 264, 3371, 78, 3791, 3233, 12, 27008, 12681, 4709, 13, 1096, 5486, 374, 11514, 323, 702, 4650, 311, 7269, 5952, 44, 19382, 9745, 4862, 11, 7945, 369, 2168, 13904, 9079, 382, 34764, 565, 10294, 8883, 198, 1986, 14719, 45251, 5567, 54625, 264, 501, 1714, 311, 52158, 5426, 279, 13617, 315, 264, 5952, 44, 13, 5952, 44, 525, 5990, 364, 1726, 68924, 6, 304, 264, 6193, 44439, 11566, 1667, 27974, 21634, 11, 264, 19669, 344, 2845, 1186, 2912, 2861, 10324, 13, 5692, 279, 12014, 29614, 311, 990, 264, 72349, 35957, 429, 13221, 10577, 279, 5952, 44, 1119, 264, 431, 9745, 13, 1096, 431, 9745, 374, 16176, 448, 264, 4709, 429, 52191, 429, 825, 315, 3371, 78, 3791, 3233, 12, 954, 52498, 320, 14689, 11127, 518, 4194, 525, 7402, 323, 279, 3383, 374, 311, 7023, 862, 2750, 504, 279, 13166, 6174, 568, 576, 1651, 315, 264, 5952, 44, 438, 3281, 3093, 315, 431, 9745, 374, 537, 501, 323, 279, 32344, 70859, 35957, 374, 537, 501, 2987, 11, 4764, 862, 10601, 374, 13, 358, 1079, 1602, 22208, 311, 1490, 3425, 419, 686, 975, 1576, 432, 1231, 19131, 264, 501, 1616, 311, 5426, 431, 9745, 82, 429, 646, 10767, 975, 1632, 369, 2168, 5435, 9079, 382, 34764, 565, 10294, 19216, 198, 15216, 4650, 11, 69251, 4024, 271, 34764, 565, 10294, 86324, 198, 60795, 398, 16506, 11, 714, 1045, 13566, 1184, 63684, 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
[ 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, 3564, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 448, 3233, 27008, 17646, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 1667, 264, 1378, 13306, 47335, 3233, 27008, 448, 64074, 13234, 13, 576, 5486, 43828, 82, 825, 25993, 315, 15751, 504, 2441, 11, 4428, 311, 3371, 78, 3791, 3233, 954, 52498, 323, 20662, 1150, 13, 5976, 279, 4522, 315, 34171, 6975, 454, 77990, 323, 58989, 12890, 374, 537, 501, 11, 279, 17646, 594, 4650, 369, 6832, 4419, 374, 10342, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 9213, 311, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 13, 64825, 553, 44378, 10324, 807, 2484, 279, 1614, 1119, 1378, 8177, 13617, 3233, 27008, 448, 64074, 13234, 13, 12090, 315, 43828, 287, 678, 15751, 504, 678, 320, 65272, 49400, 8, 15751, 807, 43828, 825, 25993, 315, 15751, 504, 279, 1008, 320, 1782, 22766, 568, 576, 3163, 70859, 16538, 374, 4428, 311, 3371, 78, 3791, 481, 825, 16297, 311, 11731, 4024, 1995, 504, 2987, 25993, 315, 15751, 476, 504, 49400, 2168, 13, 2055, 419, 374, 5008, 4428, 311, 3371, 78, 3791, 3233, 954, 52498, 13, 1084, 374, 3520, 6896, 279, 1852, 438, 279, 20662, 1150, 12111, 11, 892, 646, 387, 43454, 4402, 16176, 553, 279, 1852, 35957, 320, 265, 7596, 287, 825, 738, 315, 15751, 504, 279, 1008, 481, 5008, 8036, 8, 4518, 315, 2087, 94559, 1526, 15751, 13, 576, 17646, 374, 458, 3233, 27008, 714, 264, 803, 16965, 825, 1221, 5297, 3175, 6193, 481, 432, 702, 1378, 320, 269, 803, 8, 8177, 13617, 323, 374, 64074, 13, 758, 5256, 1052, 374, 279, 2383, 19639, 2783, 13, 576, 4522, 315, 264, 803, 16965, 11170, 729, 11, 2670, 75193, 11, 374, 7040, 714, 7838, 537, 501, 323, 13866, 374, 34171, 6975, 454, 77990, 323, 58989, 35957, 304, 825, 35957, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 7040, 4522, 714, 36756, 66309, 323, 14016, 26403, 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, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3564, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 448, 3233, 27008, 17646, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 1667, 264, 1378, 13306, 47335, 3233, 27008, 448, 64074, 13234, 13, 576, 5486, 43828, 82, 825, 25993, 315, 15751, 504, 2441, 11, 4428, 311, 3371, 78, 3791, 3233, 954, 52498, 323, 20662, 1150, 13, 5976, 279, 4522, 315, 34171, 6975, 454, 77990, 323, 58989, 12890, 374, 537, 501, 11, 279, 17646, 594, 4650, 369, 6832, 4419, 374, 10342, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 9213, 311, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 13, 64825, 553, 44378, 10324, 807, 2484, 279, 1614, 1119, 1378, 8177, 13617, 3233, 27008, 448, 64074, 13234, 13, 12090, 315, 43828, 287, 678, 15751, 504, 678, 320, 65272, 49400, 8, 15751, 807, 43828, 825, 25993, 315, 15751, 504, 279, 1008, 320, 1782, 22766, 568, 576, 3163, 70859, 16538, 374, 4428, 311, 3371, 78, 3791, 481, 825, 16297, 311, 11731, 4024, 1995, 504, 2987, 25993, 315, 15751, 476, 504, 49400, 2168, 13, 2055, 419, 374, 5008, 4428, 311, 3371, 78, 3791, 3233, 954, 52498, 13, 1084, 374, 3520, 6896, 279, 1852, 438, 279, 20662, 1150, 12111, 11, 892, 646, 387, 43454, 4402, 16176, 553, 279, 1852, 35957, 320, 265, 7596, 287, 825, 738, 315, 15751, 504, 279, 1008, 481, 5008, 8036, 8, 4518, 315, 2087, 94559, 1526, 15751, 13, 576, 17646, 374, 458, 3233, 27008, 714, 264, 803, 16965, 825, 1221, 5297, 3175, 6193, 481, 432, 702, 1378, 320, 269, 803, 8, 8177, 13617, 323, 374, 64074, 13, 758, 5256, 1052, 374, 279, 2383, 19639, 2783, 13, 576, 4522, 315, 264, 803, 16965, 11170, 729, 11, 2670, 75193, 11, 374, 7040, 714, 7838, 537, 501, 323, 13866, 374, 34171, 6975, 454, 77990, 323, 58989, 35957, 304, 825, 35957, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 7040, 4522, 714, 36756, 66309, 323, 14016, 26403, 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, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 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 ]
[ 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 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
[ 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, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 3564, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 448, 3233, 27008, 17646, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 1667, 264, 1378, 13306, 47335, 3233, 27008, 448, 64074, 13234, 13, 576, 5486, 43828, 82, 825, 25993, 315, 15751, 504, 2441, 11, 4428, 311, 3371, 78, 3791, 3233, 954, 52498, 323, 20662, 1150, 13, 5976, 279, 4522, 315, 34171, 6975, 454, 77990, 323, 58989, 12890, 374, 537, 501, 11, 279, 17646, 594, 4650, 369, 6832, 4419, 374, 10342, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 9213, 311, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 13, 64825, 553, 44378, 10324, 807, 2484, 279, 1614, 1119, 1378, 8177, 13617, 3233, 27008, 448, 64074, 13234, 13, 12090, 315, 43828, 287, 678, 15751, 504, 678, 320, 65272, 49400, 8, 15751, 807, 43828, 825, 25993, 315, 15751, 504, 279, 1008, 320, 1782, 22766, 568, 576, 3163, 70859, 16538, 374, 4428, 311, 3371, 78, 3791, 481, 825, 16297, 311, 11731, 4024, 1995, 504, 2987, 25993, 315, 15751, 476, 504, 49400, 2168, 13, 2055, 419, 374, 5008, 4428, 311, 3371, 78, 3791, 3233, 954, 52498, 13, 1084, 374, 3520, 6896, 279, 1852, 438, 279, 20662, 1150, 12111, 11, 892, 646, 387, 43454, 4402, 16176, 553, 279, 1852, 35957, 320, 265, 7596, 287, 825, 738, 315, 15751, 504, 279, 1008, 481, 5008, 8036, 8, 4518, 315, 2087, 94559, 1526, 15751, 13, 576, 17646, 374, 458, 3233, 27008, 714, 264, 803, 16965, 825, 1221, 5297, 3175, 6193, 481, 432, 702, 1378, 320, 269, 803, 8, 8177, 13617, 323, 374, 64074, 13, 758, 5256, 1052, 374, 279, 2383, 19639, 2783, 13, 576, 4522, 315, 264, 803, 16965, 11170, 729, 11, 2670, 75193, 11, 374, 7040, 714, 7838, 537, 501, 323, 13866, 374, 34171, 6975, 454, 77990, 323, 58989, 35957, 304, 825, 35957, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 7040, 4522, 714, 36756, 66309, 323, 14016, 26403, 271, 34764, 565 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 3564, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 448, 3233, 27008, 17646, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 1667, 264, 1378, 13306, 47335, 3233, 27008, 448, 64074, 13234, 13, 576, 5486, 43828, 82, 825, 25993, 315, 15751, 504, 2441, 11, 4428, 311, 3371, 78, 3791, 3233, 954, 52498, 323, 20662, 1150, 13, 5976, 279, 4522, 315, 34171, 6975, 454, 77990, 323, 58989, 12890, 374, 537, 501, 11, 279, 17646, 594, 4650, 369, 6832, 4419, 374, 10342, 382, 34764, 565, 10294, 8883, 198, 785, 12014, 9213, 311, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 13, 64825, 553, 44378, 10324, 807, 2484, 279, 1614, 1119, 1378, 8177, 13617, 3233, 27008, 448, 64074, 13234, 13, 12090, 315, 43828, 287, 678, 15751, 504, 678, 320, 65272, 49400, 8, 15751, 807, 43828, 825, 25993, 315, 15751, 504, 279, 1008, 320, 1782, 22766, 568, 576, 3163, 70859, 16538, 374, 4428, 311, 3371, 78, 3791, 481, 825, 16297, 311, 11731, 4024, 1995, 504, 2987, 25993, 315, 15751, 476, 504, 49400, 2168, 13, 2055, 419, 374, 5008, 4428, 311, 3371, 78, 3791, 3233, 954, 52498, 13, 1084, 374, 3520, 6896, 279, 1852, 438, 279, 20662, 1150, 12111, 11, 892, 646, 387, 43454, 4402, 16176, 553, 279, 1852, 35957, 320, 265, 7596, 287, 825, 738, 315, 15751, 504, 279, 1008, 481, 5008, 8036, 8, 4518, 315, 2087, 94559, 1526, 15751, 13, 576, 17646, 374, 458, 3233, 27008, 714, 264, 803, 16965, 825, 1221, 5297, 3175, 6193, 481, 432, 702, 1378, 320, 269, 803, 8, 8177, 13617, 323, 374, 64074, 13, 758, 5256, 1052, 374, 279, 2383, 19639, 2783, 13, 576, 4522, 315, 264, 803, 16965, 11170, 729, 11, 2670, 75193, 11, 374, 7040, 714, 7838, 537, 501, 323, 13866, 374, 34171, 6975, 454, 77990, 323, 58989, 35957, 304, 825, 35957, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 7850, 11, 7040, 4522, 714, 36756, 66309, 323, 14016, 26403, 271, 34764, 565 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 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 ]
[ 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
[ 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, 4194, 1973, 4862, 304, 20662, 1150, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 10555, 4862, 5486, 369, 20662, 1150, 4119, 553, 1667, 4194, 1973, 4862, 11, 892, 374, 13578, 311, 51897, 9664, 15751, 1283, 26618, 10113, 287, 1045, 382, 34764, 565, 10294, 8883, 198, 19781, 1616, 311, 5426, 20662, 1150, 374, 311, 728, 304, 279, 8356, 1973, 13, 4354, 11, 498, 646, 1083, 5157, 264, 4194, 1973, 369, 1817, 1946, 320, 275, 11508, 311, 10960, 28636, 3498, 568, 1096, 374, 1221, 13578, 311, 10113, 287, 4194, 296, 15751, 323, 51897, 9664, 308, 1448, 1380, 308, 374, 279, 1946, 1379, 323, 296, 374, 11882, 26618, 504, 220, 15, 496, 77, 12, 16, 448, 8311, 88939, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 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 ]
[ 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, 4194, 1973, 4862, 304, 20662, 1150, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 10555, 4862, 5486, 369, 20662, 1150, 4119, 553, 1667, 4194, 1973, 4862, 11, 892, 374, 13578, 311, 51897, 9664, 15751, 1283, 26618, 10113, 287, 1045, 382, 34764, 565, 10294, 8883, 198, 19781, 1616, 311, 5426, 20662, 1150, 374, 311, 728, 304, 279, 8356, 1973, 13, 4354, 11, 498, 646, 1083, 5157, 264, 4194, 1973, 369, 1817, 1946, 320, 275, 11508, 311, 10960, 28636, 3498, 568, 1096, 374, 1221, 13578, 311, 10113, 287, 4194, 296, 15751, 323, 51897, 9664, 308, 1448, 1380, 308, 374, 279, 1946, 1379, 323, 296, 374, 11882, 26618, 504, 220, 15, 496, 77, 12, 16, 448, 8311, 88939, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 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
[ 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, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 4194, 1973, 4862, 304, 20662, 1150, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 10555, 4862, 5486, 369, 20662, 1150, 4119, 553, 1667, 4194, 1973, 4862, 11, 892, 374, 13578, 311, 51897, 9664, 15751, 1283, 26618, 10113, 287, 1045, 382, 34764, 565, 10294, 8883, 198, 19781, 1616, 311, 5426, 20662, 1150, 374, 311, 728, 304, 279, 8356, 1973, 13, 4354, 11, 498, 646, 1083, 5157, 264, 4194, 1973, 369, 1817, 1946, 320, 275, 11508, 311, 10960, 28636, 3498, 568, 1096, 374, 1221, 13578, 311, 10113, 287, 4194, 296, 15751, 323, 51897, 9664, 308, 1448, 1380, 308, 374, 279, 1946, 1379, 323, 296, 374, 11882, 26618, 504, 220, 15, 496, 77, 12, 16, 448, 8311, 88939, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 40997, 16151, 18183, 45947, 89, 17562, 43904, 369, 54882, 271, 34764, 565, 13513, 8883, 198, 1654, 19131, 264, 501, 1714, 369, 4862, 5538, 45947, 89, 17562, 12645, 52158, 13, 31399, 5413, 1373, 458, 2856, 6832, 1494, 429, 27688, 279, 5538, 45947, 89, 17562, 5662, 55826, 1541, 11, 825, 6193, 518, 264, 882, 11, 476, 653, 537, 2736, 1632, 389, 23850, 9079, 13, 758, 1039, 5486, 11, 582, 5426, 678, 13617, 315, 279, 5952, 44, 24303, 11, 1667, 264, 11514, 32344, 70859, 5980, 16538, 729, 429, 72533, 2086, 1973, 25262, 323, 1555, 26475, 382, 34764, 565, 13513, 55695, 198, 677, 65381, 6, 364, 931, 6, 364, 32880, 31842, 89, 17562, 12645, 6, 364, 64233, 5413, 1248, 364, 9426, 6832, 1494, 6, 364, 32880, 31842, 89, 17562, 5662, 6, 364, 10333, 6, 364, 1678, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 4194, 1973, 4862, 304, 20662, 1150, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 458, 10555, 4862, 5486, 369, 20662, 1150, 4119, 553, 1667, 4194, 1973, 4862, 11, 892, 374, 13578, 311, 51897, 9664, 15751, 1283, 26618, 10113, 287, 1045, 382, 34764, 565, 10294, 8883, 198, 19781, 1616, 311, 5426, 20662, 1150, 374, 311, 728, 304, 279, 8356, 1973, 13, 4354, 11, 498, 646, 1083, 5157, 264, 4194, 1973, 369, 1817, 1946, 320, 275, 11508, 311, 10960, 28636, 3498, 568, 1096, 374, 1221, 13578, 311, 10113, 287, 4194, 296, 15751, 323, 51897, 9664, 308, 1448, 1380, 308, 374, 279, 1946, 1379, 323, 296, 374, 11882, 26618, 504, 220, 15, 496, 77, 12, 16, 448, 8311, 88939, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332 ]
333
[ 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, 48712, 389, 5387, 323, 12687, 70547, 369, 41733, 44378, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 12538, 369, 33479, 14744, 323, 4300, 1667, 70547, 311, 2736, 41733, 44378, 9079, 11, 1741, 438, 51897, 4300, 1948, 14744, 13, 576, 5486, 374, 7040, 323, 702, 4650, 369, 4586, 2022, 311, 803, 6351, 29425, 323, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 7822, 12538, 369, 4132, 14443, 264, 1614, 315, 14744, 323, 4300, 12875, 315, 16380, 6770, 4494, 315, 41733, 44378, 320, 68, 1302, 2572, 51897, 421, 264, 3151, 12687, 9982, 369, 264, 2661, 6716, 315, 14744, 568, 576, 4119, 32194, 2155, 4494, 315, 70547, 315, 14744, 323, 4300, 13, 576, 8544, 315, 279, 5567, 374, 7040, 323, 279, 18527, 4977, 5008, 14016, 369, 264, 25073, 5567, 13, 1084, 1265, 61325, 458, 7040, 10219, 389, 1246, 1493, 4119, 646, 387, 66117, 311, 387, 9251, 311, 803, 6351, 29425, 323, 41733, 9079, 320, 68, 1302, 2572, 4132, 14443, 1493, 13042, 504, 5810, 4128, 21984, 701, 323, 11, 304, 4586, 11, 389, 13042, 37056, 5413, 369, 41733, 9079, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 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, 48712, 389, 5387, 323, 12687, 70547, 369, 41733, 44378, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 12538, 369, 33479, 14744, 323, 4300, 1667, 70547, 311, 2736, 41733, 44378, 9079, 11, 1741, 438, 51897, 4300, 1948, 14744, 13, 576, 5486, 374, 7040, 323, 702, 4650, 369, 4586, 2022, 311, 803, 6351, 29425, 323, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 7822, 12538, 369, 4132, 14443, 264, 1614, 315, 14744, 323, 4300, 12875, 315, 16380, 6770, 4494, 315, 41733, 44378, 320, 68, 1302, 2572, 51897, 421, 264, 3151, 12687, 9982, 369, 264, 2661, 6716, 315, 14744, 568, 576, 4119, 32194, 2155, 4494, 315, 70547, 315, 14744, 323, 4300, 13, 576, 8544, 315, 279, 5567, 374, 7040, 323, 279, 18527, 4977, 5008, 14016, 369, 264, 25073, 5567, 13, 1084, 1265, 61325, 458, 7040, 10219, 389, 1246, 1493, 4119, 646, 387, 66117, 311, 387, 9251, 311, 803, 6351, 29425, 323, 41733, 9079, 320, 68, 1302, 2572, 4132, 14443, 1493, 13042, 504, 5810, 4128, 21984, 701, 323, 11, 304, 4586, 11, 389, 13042, 37056, 5413, 369, 41733, 9079, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478 ]
479
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 48712, 389, 5387, 323, 12687, 70547, 369, 41733, 44378, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 12538, 369, 33479, 14744, 323, 4300, 1667, 70547, 311, 2736, 41733, 44378, 9079, 11, 1741, 438, 51897, 4300, 1948, 14744, 13, 576, 5486, 374, 7040, 323, 702, 4650, 369, 4586, 2022, 311, 803, 6351, 29425, 323, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 7822, 12538, 369, 4132, 14443, 264, 1614, 315, 14744, 323, 4300, 12875, 315, 16380, 6770, 4494, 315, 41733, 44378, 320, 68, 1302, 2572, 51897, 421, 264, 3151, 12687, 9982, 369, 264, 2661, 6716, 315, 14744, 568, 576, 4119, 32194, 2155, 4494, 315, 70547, 315, 14744, 323, 4300, 13, 576, 8544, 315, 279, 5567, 374, 7040, 323, 279, 18527, 4977, 5008, 14016, 369, 264, 25073, 5567, 13, 1084, 1265, 61325, 458, 7040, 10219, 389, 1246, 1493, 4119, 646, 387, 66117, 311, 387, 9251, 311, 803, 6351, 29425, 323, 41733, 9079, 320, 68, 1302, 2572, 4132, 14443, 1493, 13042, 504, 5810, 4128, 21984, 701, 323, 11, 304, 4586, 11, 389, 13042, 37056, 5413, 369, 41733, 9079, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 48712, 389, 5387, 323, 12687, 70547, 369, 41733, 44378, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 40324, 12538, 369, 33479, 14744, 323, 4300, 1667, 70547, 311, 2736, 41733, 44378, 9079, 11, 1741, 438, 51897, 4300, 1948, 14744, 13, 576, 5486, 374, 7040, 323, 702, 4650, 369, 4586, 2022, 311, 803, 6351, 29425, 323, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 7822, 12538, 369, 4132, 14443, 264, 1614, 315, 14744, 323, 4300, 12875, 315, 16380, 6770, 4494, 315, 41733, 44378, 320, 68, 1302, 2572, 51897, 421, 264, 3151, 12687, 9982, 369, 264, 2661, 6716, 315, 14744, 568, 576, 4119, 32194, 2155, 4494, 315, 70547, 315, 14744, 323, 4300, 13, 576, 8544, 315, 279, 5567, 374, 7040, 323, 279, 18527, 4977, 5008, 14016, 369, 264, 25073, 5567, 13, 1084, 1265, 61325, 458, 7040, 10219, 389, 1246, 1493, 4119, 646, 387, 66117, 311, 387, 9251, 311, 803, 6351, 29425, 323, 41733, 9079, 320, 68, 1302, 2572, 4132, 14443, 1493, 13042, 504, 5810, 4128, 21984, 701, 323, 11, 304, 4586, 11, 389, 13042, 37056, 5413, 369, 41733, 9079, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 5567, 11, 4193, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477 ]
478
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 36192, 5740, 6540, 23092, 323, 1467, 369, 1787, 1995, 32189, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 12626, 369, 1787, 1995, 32189, 553, 34171, 855, 38717, 61800, 504, 6540, 23092, 448, 35118, 61800, 27432, 504, 1910, 1467, 11, 37078, 311, 14164, 279, 12929, 1948, 32930, 323, 650, 51143, 821, 8173, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 12626, 369, 1787, 1995, 32189, 13, 1096, 3491, 374, 5990, 81357, 2987, 4566, 28727, 7469, 37117, 504, 264, 6540, 2331, 320, 776, 1301, 287, 5944, 323, 71183, 61800, 8, 476, 304, 264, 12473, 6975, 454, 77990, 11153, 320, 28996, 894, 855, 38717, 61800, 568, 576, 3042, 5486, 21538, 518, 34171, 2176, 18339, 448, 279, 16800, 315, 20178, 61800, 429, 646, 20334, 855, 38717, 6174, 504, 6540, 23092, 323, 35118, 6174, 27432, 504, 1910, 1467, 13, 576, 4522, 315, 96829, 91095, 1568, 4221, 12687, 374, 32252, 714, 1181, 8129, 304, 279, 1614, 8458, 24416, 13, 576, 1887, 23078, 315, 279, 1849, 438, 432, 374, 10449, 1588, 374, 429, 432, 33644, 389, 279, 2097, 429, 14744, 8952, 10607, 45225, 504, 279, 6540, 2331, 320, 10940, 3152, 1588, 8, 323, 45225, 27432, 504, 279, 1467, 614, 1012, 6896, 18054, 51059, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 11, 714, 537, 3746, 3322, 369, 25505, 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, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 36192, 5740, 6540, 23092, 323, 1467, 369, 1787, 1995, 32189, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 12626, 369, 1787, 1995, 32189, 553, 34171, 855, 38717, 61800, 504, 6540, 23092, 448, 35118, 61800, 27432, 504, 1910, 1467, 11, 37078, 311, 14164, 279, 12929, 1948, 32930, 323, 650, 51143, 821, 8173, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 12626, 369, 1787, 1995, 32189, 13, 1096, 3491, 374, 5990, 81357, 2987, 4566, 28727, 7469, 37117, 504, 264, 6540, 2331, 320, 776, 1301, 287, 5944, 323, 71183, 61800, 8, 476, 304, 264, 12473, 6975, 454, 77990, 11153, 320, 28996, 894, 855, 38717, 61800, 568, 576, 3042, 5486, 21538, 518, 34171, 2176, 18339, 448, 279, 16800, 315, 20178, 61800, 429, 646, 20334, 855, 38717, 6174, 504, 6540, 23092, 323, 35118, 6174, 27432, 504, 1910, 1467, 13, 576, 4522, 315, 96829, 91095, 1568, 4221, 12687, 374, 32252, 714, 1181, 8129, 304, 279, 1614, 8458, 24416, 13, 576, 1887, 23078, 315, 279, 1849, 438, 432, 374, 10449, 1588, 374, 429, 432, 33644, 389, 279, 2097, 429, 14744, 8952, 10607, 45225, 504, 279, 6540, 2331, 320, 10940, 3152, 1588, 8, 323, 45225, 27432, 504, 279, 1467, 614, 1012, 6896, 18054, 51059, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 11, 714, 537, 3746, 3322, 369, 25505, 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, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 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, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 36192, 5740, 6540, 23092, 323, 1467, 369, 1787, 1995, 32189, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 12626, 369, 1787, 1995, 32189, 553, 34171, 855, 38717, 61800, 504, 6540, 23092, 448, 35118, 61800, 27432, 504, 1910, 1467, 11, 37078, 311, 14164, 279, 12929, 1948, 32930, 323, 650, 51143, 821, 8173, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 12626, 369, 1787, 1995, 32189, 13, 1096, 3491, 374, 5990, 81357, 2987, 4566, 28727, 7469, 37117, 504, 264, 6540, 2331, 320, 776, 1301, 287, 5944, 323, 71183, 61800, 8, 476, 304, 264, 12473, 6975, 454, 77990, 11153, 320, 28996, 894, 855, 38717, 61800, 568, 576, 3042, 5486, 21538, 518, 34171, 2176, 18339, 448, 279, 16800, 315, 20178, 61800, 429, 646, 20334, 855, 38717, 6174, 504, 6540, 23092, 323, 35118, 6174, 27432, 504, 1910, 1467, 13, 576, 4522, 315, 96829, 91095, 1568, 4221, 12687, 374, 32252, 714, 1181, 8129, 304, 279, 1614, 8458, 24416, 13, 576, 1887, 23078, 315, 279, 1849, 438, 432, 374, 10449, 1588, 374, 429, 432, 33644, 389, 279, 2097, 429, 14744, 8952, 10607, 45225, 504, 279, 6540, 2331, 320, 10940, 3152, 1588, 8, 323, 45225, 27432, 504, 279, 1467, 614, 1012, 6896, 18054, 51059, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 11, 714, 537, 3746, 3322, 369, 25505, 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, 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, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 36192, 5740, 6540, 23092, 323, 1467, 369, 1787, 1995, 32189, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 12626, 369, 1787, 1995, 32189, 553, 34171, 855, 38717, 61800, 504, 6540, 23092, 448, 35118, 61800, 27432, 504, 1910, 1467, 11, 37078, 311, 14164, 279, 12929, 1948, 32930, 323, 650, 51143, 821, 8173, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 18404, 264, 12626, 369, 1787, 1995, 32189, 13, 1096, 3491, 374, 5990, 81357, 2987, 4566, 28727, 7469, 37117, 504, 264, 6540, 2331, 320, 776, 1301, 287, 5944, 323, 71183, 61800, 8, 476, 304, 264, 12473, 6975, 454, 77990, 11153, 320, 28996, 894, 855, 38717, 61800, 568, 576, 3042, 5486, 21538, 518, 34171, 2176, 18339, 448, 279, 16800, 315, 20178, 61800, 429, 646, 20334, 855, 38717, 6174, 504, 6540, 23092, 323, 35118, 6174, 27432, 504, 1910, 1467, 13, 576, 4522, 315, 96829, 91095, 1568, 4221, 12687, 374, 32252, 714, 1181, 8129, 304, 279, 1614, 8458, 24416, 13, 576, 1887, 23078, 315, 279, 1849, 438, 432, 374, 10449, 1588, 374, 429, 432, 33644, 389, 279, 2097, 429, 14744, 8952, 10607, 45225, 504, 279, 6540, 2331, 320, 10940, 3152, 1588, 8, 323, 45225, 27432, 504, 279, 1467, 614, 1012, 6896, 18054, 51059, 382, 34764, 565, 10294, 19216, 198, 22, 25, 1661, 11, 714, 537, 3746, 3322, 369, 25505, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510 ]
511
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2271, 3395, 369, 5185, 311, 656, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 374, 264, 1273, 5185, 311, 656, 11, 31061, 66649, 2213, 911, 264, 3412, 5567, 594, 1887, 4522, 476, 37052, 382, 34764, 565, 10294, 8883, 198, 1986, 374, 264, 1273, 315, 264, 5185, 311, 656, 382, 34764, 565, 10294, 19216, 198, 16, 25, 2308, 66649, 2213, 5435, 311, 279, 5567, 594, 1887, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 6853, 315, 66649, 2213, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 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 ]
[ 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, 2271, 3395, 369, 5185, 311, 656, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 374, 264, 1273, 5185, 311, 656, 11, 31061, 66649, 2213, 911, 264, 3412, 5567, 594, 1887, 4522, 476, 37052, 382, 34764, 565, 10294, 8883, 198, 1986, 374, 264, 1273, 315, 264, 5185, 311, 656, 382, 34764, 565, 10294, 19216, 198, 16, 25, 2308, 66649, 2213, 5435, 311, 279, 5567, 594, 1887, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 6853, 315, 66649, 2213, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 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
[ 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, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2271, 3395, 369, 5185, 311, 656, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 374, 264, 1273, 5185, 311, 656, 11, 31061, 66649, 2213, 911, 264, 3412, 5567, 594, 1887, 4522, 476, 37052, 382, 34764, 565, 10294, 8883, 198, 1986, 374, 264, 1273, 315, 264, 5185, 311, 656, 382, 34764, 565, 10294, 19216, 198, 16, 25, 2308, 66649, 2213, 5435, 311, 279, 5567, 594, 1887, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 6853, 315, 66649, 2213, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 23140, 306, 50024, 21950, 804, 369, 25500, 328, 31126, 271, 34764, 565, 13513, 8883, 198, 84682, 12687, 32189, 55878, 4300, 2878, 1045, 8356, 323, 34226, 2169, 10802, 13, 12960, 6832, 19827, 311, 419, 3383, 1373, 2987, 11376, 21223, 476, 11, 304, 279, 1142, 315, 28727, 37117, 11, 6350, 32930, 8173, 315, 279, 1852, 10802, 13, 576, 1184, 369, 6350, 29425, 646, 387, 30790, 553, 1667, 264, 20178, 10802, 25, 279, 11300, 315, 678, 6398, 61800, 320, 39746, 1352, 80027, 438, 304, 5264, 5371, 11, 323, 4300, 304, 279, 61800, 315, 855, 49357, 31806, 568, 1096, 10802, 702, 458, 4558, 26764, 738, 315, 4300, 320, 23646, 311, 7329, 7586, 701, 323, 11554, 17590, 448, 6350, 32930, 821, 320, 19742, 279, 12687, 4494, 315, 6350, 31806, 568, 2014, 30446, 264, 4625, 315, 1741, 10802, 582, 3042, 264, 2997, 315, 6172, 8168, 2022, 4119, 429, 7023, 50452, 1948, 4625, 45225, 323, 4300, 13, 3216, 10350, 24303, 389, 4300, 13166, 304, 1467, 323, 304, 855, 49357, 32930, 5952, 82, 1741, 438, 3574, 3152, 11, 582, 525, 2952, 311, 2874, 911, 650, 51143, 323, 32930, 821, 304, 52479, 55947, 287, 5510, 382, 34764, 565, 13513, 55695, 198, 677, 65334, 6, 364, 17349, 6, 364, 56543, 6, 364, 67, 23822, 1248, 364, 50023, 12687, 43613, 6, 364, 22021, 6, 364, 25722, 2169, 10802, 1248, 364, 32056, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2271, 3395, 369, 5185, 311, 656, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 374, 264, 1273, 5185, 311, 656, 11, 31061, 66649, 2213, 911, 264, 3412, 5567, 594, 1887, 4522, 476, 37052, 382, 34764, 565, 10294, 8883, 198, 1986, 374, 264, 1273, 315, 264, 5185, 311, 656, 382, 34764, 565, 10294, 19216, 198, 16, 25, 2308, 66649, 2213, 5435, 311, 279, 5567, 594, 1887, 4522, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 911, 279, 6853, 315, 66649, 2213, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360 ]
361
[ 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, 5066, 36694, 5980, 4565, 6832, 369, 58001, 11129, 9079, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 58354, 5980, 4565, 6832, 1714, 369, 2168, 17843, 323, 14849, 304, 73606, 11, 80903, 4628, 323, 11773, 80628, 13, 576, 5486, 5711, 264, 58354, 12111, 311, 5426, 13406, 323, 16790, 1105, 55712, 745, 448, 264, 2629, 96410, 1737, 18192, 5666, 11, 8110, 553, 8356, 8692, 17628, 323, 58989, 6832, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 458, 3766, 315, 58354, 5980, 4565, 6832, 4319, 3140, 863, 311, 2168, 17843, 9079, 323, 14849, 9079, 369, 73606, 13, 576, 6770, 1849, 5711, 264, 58354, 12111, 311, 5426, 13406, 504, 2613, 28660, 323, 1221, 16790, 1105, 55712, 745, 1667, 264, 2629, 96410, 1737, 18192, 320, 64837, 315, 9179, 1985, 8, 5666, 13, 1096, 374, 8110, 448, 264, 8356, 10601, 315, 8692, 17628, 320, 10285, 287, 11, 2477, 1056, 10748, 11, 48723, 8, 323, 5823, 311, 264, 58989, 6832, 12111, 13, 576, 1887, 66309, 1588, 7952, 311, 387, 389, 264, 5625, 315, 3501, 25, 320, 16, 8, 279, 3953, 5754, 315, 17646, 320, 8206, 374, 26664, 518, 3245, 304, 949, 553, 279, 12591, 311, 1598, 304, 55486, 480, 11773, 1741, 438, 434, 11383, 2121, 701, 320, 17, 8, 66971, 279, 4628, 9423, 323, 6785, 14849, 3059, 304, 8357, 11, 2176, 315, 892, 525, 47676, 8845, 13, 39288, 323, 4862, 4628, 11, 438, 279, 12014, 5185, 11, 525, 537, 1632, 1737, 36684, 304, 5538, 6832, 975, 323, 419, 374, 264, 3491, 369, 1931, 7246, 8357, 1075, 73606, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 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 ]
[ 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, 5066, 36694, 5980, 4565, 6832, 369, 58001, 11129, 9079, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 58354, 5980, 4565, 6832, 1714, 369, 2168, 17843, 323, 14849, 304, 73606, 11, 80903, 4628, 323, 11773, 80628, 13, 576, 5486, 5711, 264, 58354, 12111, 311, 5426, 13406, 323, 16790, 1105, 55712, 745, 448, 264, 2629, 96410, 1737, 18192, 5666, 11, 8110, 553, 8356, 8692, 17628, 323, 58989, 6832, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 458, 3766, 315, 58354, 5980, 4565, 6832, 4319, 3140, 863, 311, 2168, 17843, 9079, 323, 14849, 9079, 369, 73606, 13, 576, 6770, 1849, 5711, 264, 58354, 12111, 311, 5426, 13406, 504, 2613, 28660, 323, 1221, 16790, 1105, 55712, 745, 1667, 264, 2629, 96410, 1737, 18192, 320, 64837, 315, 9179, 1985, 8, 5666, 13, 1096, 374, 8110, 448, 264, 8356, 10601, 315, 8692, 17628, 320, 10285, 287, 11, 2477, 1056, 10748, 11, 48723, 8, 323, 5823, 311, 264, 58989, 6832, 12111, 13, 576, 1887, 66309, 1588, 7952, 311, 387, 389, 264, 5625, 315, 3501, 25, 320, 16, 8, 279, 3953, 5754, 315, 17646, 320, 8206, 374, 26664, 518, 3245, 304, 949, 553, 279, 12591, 311, 1598, 304, 55486, 480, 11773, 1741, 438, 434, 11383, 2121, 701, 320, 17, 8, 66971, 279, 4628, 9423, 323, 6785, 14849, 3059, 304, 8357, 11, 2176, 315, 892, 525, 47676, 8845, 13, 39288, 323, 4862, 4628, 11, 438, 279, 12014, 5185, 11, 525, 537, 1632, 1737, 36684, 304, 5538, 6832, 975, 323, 419, 374, 264, 3491, 369, 1931, 7246, 8357, 1075, 73606, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 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
[ 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, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 5066, 36694, 5980, 4565, 6832, 369, 58001, 11129, 9079, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 58354, 5980, 4565, 6832, 1714, 369, 2168, 17843, 323, 14849, 304, 73606, 11, 80903, 4628, 323, 11773, 80628, 13, 576, 5486, 5711, 264, 58354, 12111, 311, 5426, 13406, 323, 16790, 1105, 55712, 745, 448, 264, 2629, 96410, 1737, 18192, 5666, 11, 8110, 553, 8356, 8692, 17628, 323, 58989, 6832, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 458, 3766, 315, 58354, 5980, 4565, 6832, 4319, 3140, 863, 311, 2168, 17843, 9079, 323, 14849, 9079, 369, 73606, 13, 576, 6770, 1849, 5711, 264, 58354, 12111, 311, 5426, 13406, 504, 2613, 28660, 323, 1221, 16790, 1105, 55712, 745, 1667, 264, 2629, 96410, 1737, 18192, 320, 64837, 315, 9179, 1985, 8, 5666, 13, 1096, 374, 8110, 448, 264, 8356, 10601, 315, 8692, 17628, 320, 10285, 287, 11, 2477, 1056, 10748, 11, 48723, 8, 323, 5823, 311, 264, 58989, 6832, 12111, 13, 576, 1887, 66309, 1588, 7952, 311, 387, 389, 264, 5625, 315, 3501, 25, 320, 16, 8, 279, 3953, 5754, 315, 17646, 320, 8206, 374, 26664, 518, 3245, 304, 949, 553, 279, 12591, 311, 1598, 304, 55486, 480, 11773, 1741, 438, 434, 11383, 2121, 701, 320, 17, 8, 66971, 279, 4628, 9423, 323, 6785, 14849, 3059, 304, 8357, 11, 2176, 315, 892, 525, 47676, 8845, 13, 39288, 323, 4862, 4628, 11, 438, 279, 12014, 5185, 11, 525, 537, 1632, 1737, 36684, 304, 5538, 6832, 975, 323, 419, 374, 264, 3491, 369, 1931, 7246, 8357, 1075, 73606, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 5066, 36694, 5980, 4565, 6832, 369, 58001, 11129, 9079, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 58354, 5980, 4565, 6832, 1714, 369, 2168, 17843, 323, 14849, 304, 73606, 11, 80903, 4628, 323, 11773, 80628, 13, 576, 5486, 5711, 264, 58354, 12111, 311, 5426, 13406, 323, 16790, 1105, 55712, 745, 448, 264, 2629, 96410, 1737, 18192, 5666, 11, 8110, 553, 8356, 8692, 17628, 323, 58989, 6832, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 458, 3766, 315, 58354, 5980, 4565, 6832, 4319, 3140, 863, 311, 2168, 17843, 9079, 323, 14849, 9079, 369, 73606, 13, 576, 6770, 1849, 5711, 264, 58354, 12111, 311, 5426, 13406, 504, 2613, 28660, 323, 1221, 16790, 1105, 55712, 745, 1667, 264, 2629, 96410, 1737, 18192, 320, 64837, 315, 9179, 1985, 8, 5666, 13, 1096, 374, 8110, 448, 264, 8356, 10601, 315, 8692, 17628, 320, 10285, 287, 11, 2477, 1056, 10748, 11, 48723, 8, 323, 5823, 311, 264, 58989, 6832, 12111, 13, 576, 1887, 66309, 1588, 7952, 311, 387, 389, 264, 5625, 315, 3501, 25, 320, 16, 8, 279, 3953, 5754, 315, 17646, 320, 8206, 374, 26664, 518, 3245, 304, 949, 553, 279, 12591, 311, 1598, 304, 55486, 480, 11773, 1741, 438, 434, 11383, 2121, 701, 320, 17, 8, 66971, 279, 4628, 9423, 323, 6785, 14849, 3059, 304, 8357, 11, 2176, 315, 892, 525, 47676, 8845, 13, 39288, 323, 4862, 4628, 11, 438, 279, 12014, 5185, 11, 525, 537, 1632, 1737, 36684, 304, 5538, 6832, 975, 323, 419, 374, 264, 3491, 369, 1931, 7246, 8357, 1075, 73606, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 537, 3746, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 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
[ 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, 11050, 5538, 14155, 369, 12002, 821, 8660, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 21538, 311, 2225, 4285, 11, 7373, 11, 323, 4937, 5538, 14155, 369, 8660, 12002, 821, 11, 448, 264, 5244, 389, 15024, 304, 6832, 5413, 13, 4354, 11, 1045, 1376, 13566, 525, 26239, 311, 3853, 975, 11, 323, 279, 8129, 3565, 525, 24416, 382, 34764, 565, 10294, 8883, 198, 40, 1079, 353, 1204, 9, 52364, 311, 279, 21538, 315, 279, 12014, 25, 7379, 4285, 11, 7373, 323, 4937, 5538, 14155, 311, 3535, 12002, 821, 13, 576, 12014, 17956, 1045, 315, 279, 803, 7040, 9472, 311, 3853, 975, 4764, 25, 807, 5185, 429, 2629, 96410, 1737, 3092, 1265, 387, 1753, 803, 11050, 304, 50592, 8129, 1221, 55712, 1707, 3059, 13, 2938, 1035, 12824, 387, 7040, 11, 323, 1035, 1281, 419, 5567, 678, 279, 803, 13245, 13, 18801, 429, 1281, 1741, 6832, 11050, 525, 7838, 2989, 13, 576, 2097, 429, 2086, 13617, 429, 525, 4194, 2058, 4278, 1632, 374, 7040, 25, 364, 785, 26618, 8433, 220, 17, 303, 6193, 1483, 264, 8356, 19769, 6193, 438, 7481, 304, 3772, 220, 17, 13, 17, 21696, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 448, 5089, 10520, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 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 ]
[ 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, 11050, 5538, 14155, 369, 12002, 821, 8660, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 21538, 311, 2225, 4285, 11, 7373, 11, 323, 4937, 5538, 14155, 369, 8660, 12002, 821, 11, 448, 264, 5244, 389, 15024, 304, 6832, 5413, 13, 4354, 11, 1045, 1376, 13566, 525, 26239, 311, 3853, 975, 11, 323, 279, 8129, 3565, 525, 24416, 382, 34764, 565, 10294, 8883, 198, 40, 1079, 353, 1204, 9, 52364, 311, 279, 21538, 315, 279, 12014, 25, 7379, 4285, 11, 7373, 323, 4937, 5538, 14155, 311, 3535, 12002, 821, 13, 576, 12014, 17956, 1045, 315, 279, 803, 7040, 9472, 311, 3853, 975, 4764, 25, 807, 5185, 429, 2629, 96410, 1737, 3092, 1265, 387, 1753, 803, 11050, 304, 50592, 8129, 1221, 55712, 1707, 3059, 13, 2938, 1035, 12824, 387, 7040, 11, 323, 1035, 1281, 419, 5567, 678, 279, 803, 13245, 13, 18801, 429, 1281, 1741, 6832, 11050, 525, 7838, 2989, 13, 576, 2097, 429, 2086, 13617, 429, 525, 4194, 2058, 4278, 1632, 374, 7040, 25, 364, 785, 26618, 8433, 220, 17, 303, 6193, 1483, 264, 8356, 19769, 6193, 438, 7481, 304, 3772, 220, 17, 13, 17, 21696, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 448, 5089, 10520, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 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
[ 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, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 11050, 5538, 14155, 369, 12002, 821, 8660, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 21538, 311, 2225, 4285, 11, 7373, 11, 323, 4937, 5538, 14155, 369, 8660, 12002, 821, 11, 448, 264, 5244, 389, 15024, 304, 6832, 5413, 13, 4354, 11, 1045, 1376, 13566, 525, 26239, 311, 3853, 975, 11, 323, 279, 8129, 3565, 525, 24416, 382, 34764, 565, 10294, 8883, 198, 40, 1079, 353, 1204, 9, 52364, 311, 279, 21538, 315, 279, 12014, 25, 7379, 4285, 11, 7373, 323, 4937, 5538, 14155, 311, 3535, 12002, 821, 13, 576, 12014, 17956, 1045, 315, 279, 803, 7040, 9472, 311, 3853, 975, 4764, 25, 807, 5185, 429, 2629, 96410, 1737, 3092, 1265, 387, 1753, 803, 11050, 304, 50592, 8129, 1221, 55712, 1707, 3059, 13, 2938, 1035, 12824, 387, 7040, 11, 323, 1035, 1281, 419, 5567, 678, 279, 803, 13245, 13, 18801, 429, 1281, 1741, 6832, 11050, 525, 7838, 2989, 13, 576, 2097, 429, 2086, 13617, 429, 525, 4194, 2058, 4278, 1632, 374, 7040, 25, 364, 785, 26618, 8433, 220, 17, 303, 6193, 1483, 264, 8356, 19769, 6193, 438, 7481, 304, 3772, 220, 17, 13, 17, 21696, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 448, 5089, 10520, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43953, 5503, 11050, 5538, 14155, 369, 12002, 821, 8660, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 21538, 311, 2225, 4285, 11, 7373, 11, 323, 4937, 5538, 14155, 369, 8660, 12002, 821, 11, 448, 264, 5244, 389, 15024, 304, 6832, 5413, 13, 4354, 11, 1045, 1376, 13566, 525, 26239, 311, 3853, 975, 11, 323, 279, 8129, 3565, 525, 24416, 382, 34764, 565, 10294, 8883, 198, 40, 1079, 353, 1204, 9, 52364, 311, 279, 21538, 315, 279, 12014, 25, 7379, 4285, 11, 7373, 323, 4937, 5538, 14155, 311, 3535, 12002, 821, 13, 576, 12014, 17956, 1045, 315, 279, 803, 7040, 9472, 311, 3853, 975, 4764, 25, 807, 5185, 429, 2629, 96410, 1737, 3092, 1265, 387, 1753, 803, 11050, 304, 50592, 8129, 1221, 55712, 1707, 3059, 13, 2938, 1035, 12824, 387, 7040, 11, 323, 1035, 1281, 419, 5567, 678, 279, 803, 13245, 13, 18801, 429, 1281, 1741, 6832, 11050, 525, 7838, 2989, 13, 576, 2097, 429, 2086, 13617, 429, 525, 4194, 2058, 4278, 1632, 374, 7040, 25, 364, 785, 26618, 8433, 220, 17, 303, 6193, 1483, 264, 8356, 19769, 6193, 438, 7481, 304, 3772, 220, 17, 13, 17, 21696, 34764, 565, 10294, 19216, 198, 19, 25, 4745, 745, 3403, 279, 25505, 12171, 11, 714, 448, 5089, 10520, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 11, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408 ]
409
[ 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, 13482, 323, 6010, 29670, 304, 19769, 82, 369, 2168, 8692, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 13482, 29670, 323, 6010, 29670, 304, 55712, 278, 29728, 14155, 369, 2168, 8692, 9079, 11, 58316, 369, 6010, 29670, 4152, 311, 31787, 15024, 389, 11773, 1075, 434, 11383, 2121, 13, 4354, 11, 279, 5567, 36756, 7990, 304, 50246, 1246, 311, 13036, 279, 21204, 323, 1558, 537, 9355, 19869, 279, 66309, 315, 279, 5486, 7707, 311, 4867, 975, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 1378, 4494, 315, 29670, 5675, 320, 22763, 29670, 6165, 13, 6010, 29670, 8, 304, 55712, 278, 29728, 14155, 369, 2168, 8692, 13, 576, 5567, 66249, 1378, 14138, 85657, 11582, 8313, 77235, 389, 279, 97590, 934, 12, 16, 15, 323, 17481, 43165, 2168, 54302, 9079, 11, 323, 4933, 429, 13866, 315, 1493, 77235, 374, 1602, 7373, 11, 714, 429, 279, 20692, 13482, 5675, 4278, 2664, 13, 576, 5567, 37230, 27324, 279, 990, 315, 279, 6010, 29670, 5666, 389, 20664, 315, 16353, 31787, 15024, 389, 384, 1302, 13, 89462, 11773, 11, 714, 3565, 315, 419, 5693, 323, 45663, 10913, 7101, 525, 2115, 369, 3853, 975, 13, 576, 12014, 1083, 45932, 279, 897, 315, 4937, 6975, 454, 77990, 6832, 3118, 389, 58354, 11, 714, 279, 18527, 315, 419, 975, 7797, 429, 315, 3539, 973, 1842, 452, 13, 4652, 304, 220, 17, 15, 16, 16, 323, 220, 17, 15, 16, 17, 374, 537, 2797, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7850, 11, 7469, 18527, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 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 ]
[ 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, 13482, 323, 6010, 29670, 304, 19769, 82, 369, 2168, 8692, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 13482, 29670, 323, 6010, 29670, 304, 55712, 278, 29728, 14155, 369, 2168, 8692, 9079, 11, 58316, 369, 6010, 29670, 4152, 311, 31787, 15024, 389, 11773, 1075, 434, 11383, 2121, 13, 4354, 11, 279, 5567, 36756, 7990, 304, 50246, 1246, 311, 13036, 279, 21204, 323, 1558, 537, 9355, 19869, 279, 66309, 315, 279, 5486, 7707, 311, 4867, 975, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 1378, 4494, 315, 29670, 5675, 320, 22763, 29670, 6165, 13, 6010, 29670, 8, 304, 55712, 278, 29728, 14155, 369, 2168, 8692, 13, 576, 5567, 66249, 1378, 14138, 85657, 11582, 8313, 77235, 389, 279, 97590, 934, 12, 16, 15, 323, 17481, 43165, 2168, 54302, 9079, 11, 323, 4933, 429, 13866, 315, 1493, 77235, 374, 1602, 7373, 11, 714, 429, 279, 20692, 13482, 5675, 4278, 2664, 13, 576, 5567, 37230, 27324, 279, 990, 315, 279, 6010, 29670, 5666, 389, 20664, 315, 16353, 31787, 15024, 389, 384, 1302, 13, 89462, 11773, 11, 714, 3565, 315, 419, 5693, 323, 45663, 10913, 7101, 525, 2115, 369, 3853, 975, 13, 576, 12014, 1083, 45932, 279, 897, 315, 4937, 6975, 454, 77990, 6832, 3118, 389, 58354, 11, 714, 279, 18527, 315, 419, 975, 7797, 429, 315, 3539, 973, 1842, 452, 13, 4652, 304, 220, 17, 15, 16, 16, 323, 220, 17, 15, 16, 17, 374, 537, 2797, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7850, 11, 7469, 18527, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 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
[ 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, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 13482, 323, 6010, 29670, 304, 19769, 82, 369, 2168, 8692, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 13482, 29670, 323, 6010, 29670, 304, 55712, 278, 29728, 14155, 369, 2168, 8692, 9079, 11, 58316, 369, 6010, 29670, 4152, 311, 31787, 15024, 389, 11773, 1075, 434, 11383, 2121, 13, 4354, 11, 279, 5567, 36756, 7990, 304, 50246, 1246, 311, 13036, 279, 21204, 323, 1558, 537, 9355, 19869, 279, 66309, 315, 279, 5486, 7707, 311, 4867, 975, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 1378, 4494, 315, 29670, 5675, 320, 22763, 29670, 6165, 13, 6010, 29670, 8, 304, 55712, 278, 29728, 14155, 369, 2168, 8692, 13, 576, 5567, 66249, 1378, 14138, 85657, 11582, 8313, 77235, 389, 279, 97590, 934, 12, 16, 15, 323, 17481, 43165, 2168, 54302, 9079, 11, 323, 4933, 429, 13866, 315, 1493, 77235, 374, 1602, 7373, 11, 714, 429, 279, 20692, 13482, 5675, 4278, 2664, 13, 576, 5567, 37230, 27324, 279, 990, 315, 279, 6010, 29670, 5666, 389, 20664, 315, 16353, 31787, 15024, 389, 384, 1302, 13, 89462, 11773, 11, 714, 3565, 315, 419, 5693, 323, 45663, 10913, 7101, 525, 2115, 369, 3853, 975, 13, 576, 12014, 1083, 45932, 279, 897, 315, 4937, 6975, 454, 77990, 6832, 3118, 389, 58354, 11, 714, 279, 18527, 315, 419, 975, 7797, 429, 315, 3539, 973, 1842, 452, 13, 4652, 304, 220, 17, 15, 16, 16, 323, 220, 17, 15, 16, 17, 374, 537, 2797, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7850, 11, 7469, 18527, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5066, 36694, 20909, 369, 4892, 14212, 30441, 271, 34764, 565, 13513, 8883, 198, 1654, 3042, 279, 58354, 6832, 14762, 9251, 311, 7299, 47335, 5395, 13435, 5538, 29728, 14155, 13, 1205, 1473, 429, 419, 6975, 454, 77990, 6832, 14762, 646, 12564, 3922, 13406, 448, 1172, 264, 2421, 4420, 323, 264, 1753, 11046, 738, 315, 5029, 13, 576, 5795, 315, 419, 5567, 374, 311, 11926, 279, 14762, 369, 4586, 58238, 58001, 11129, 5942, 13, 1205, 1895, 1181, 990, 304, 1099, 2168, 29425, 323, 1633, 14849, 29425, 382, 34764, 565, 13513, 55695, 198, 677, 18247, 292, 11129, 6, 364, 564, 36694, 6832, 14762, 1248, 364, 10862, 454, 77990, 6832, 14762, 6, 364, 17511, 13406, 6, 364, 37037, 6, 364, 746, 1248, 364, 2396, 2424, 6, 364, 33939, 6, 364, 25444, 2372, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 13482, 323, 6010, 29670, 304, 19769, 82, 369, 2168, 8692, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 13482, 29670, 323, 6010, 29670, 304, 55712, 278, 29728, 14155, 369, 2168, 8692, 9079, 11, 58316, 369, 6010, 29670, 4152, 311, 31787, 15024, 389, 11773, 1075, 434, 11383, 2121, 13, 4354, 11, 279, 5567, 36756, 7990, 304, 50246, 1246, 311, 13036, 279, 21204, 323, 1558, 537, 9355, 19869, 279, 66309, 315, 279, 5486, 7707, 311, 4867, 975, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 1378, 4494, 315, 29670, 5675, 320, 22763, 29670, 6165, 13, 6010, 29670, 8, 304, 55712, 278, 29728, 14155, 369, 2168, 8692, 13, 576, 5567, 66249, 1378, 14138, 85657, 11582, 8313, 77235, 389, 279, 97590, 934, 12, 16, 15, 323, 17481, 43165, 2168, 54302, 9079, 11, 323, 4933, 429, 13866, 315, 1493, 77235, 374, 1602, 7373, 11, 714, 429, 279, 20692, 13482, 5675, 4278, 2664, 13, 576, 5567, 37230, 27324, 279, 990, 315, 279, 6010, 29670, 5666, 389, 20664, 315, 16353, 31787, 15024, 389, 384, 1302, 13, 89462, 11773, 11, 714, 3565, 315, 419, 5693, 323, 45663, 10913, 7101, 525, 2115, 369, 3853, 975, 13, 576, 12014, 1083, 45932, 279, 897, 315, 4937, 6975, 454, 77990, 6832, 3118, 389, 58354, 11, 714, 279, 18527, 315, 419, 975, 7797, 429, 315, 3539, 973, 1842, 452, 13, 4652, 304, 220, 17, 15, 16, 16, 323, 220, 17, 15, 16, 17, 374, 537, 2797, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7850, 11, 7469, 18527, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2753, 3395, 2213, 3897, 271, 34764, 565, 10294, 21517, 198, 2753, 3395, 2213, 572, 3897, 311, 8649, 458, 4522, 15382, 3395, 382, 34764, 565, 10294, 8883, 198, 2753, 3395, 2213, 572, 3897, 311, 8649, 458, 4522, 15382, 3395, 382, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2753, 3395, 2213, 3897, 271, 34764, 565, 10294, 21517, 198, 2753, 3395, 2213, 572, 3897, 311, 8649, 458, 4522, 15382, 3395, 382, 34764, 565, 10294, 8883, 198, 2753, 3395, 2213, 572, 3897, 311, 8649, 458, 4522, 15382, 3395, 382, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279 ]
280
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2753, 3395, 2213, 3897, 271, 34764, 565, 10294, 21517, 198, 2753, 3395, 2213, 572, 3897, 311, 8649, 458, 4522, 15382, 3395, 382, 34764, 565, 10294, 8883, 198, 2753, 3395, 2213, 572, 3897, 311, 8649, 458, 4522, 15382, 3395, 382, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2753, 3395, 2213, 3897, 271, 34764, 565, 10294, 21517, 198, 2753, 3395, 2213, 572, 3897, 311, 8649, 458, 4522, 15382, 3395, 382, 34764, 565, 10294, 8883, 198, 2753, 3395, 2213, 572, 3897, 311, 8649, 458, 4522, 15382, 3395, 382, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 4152, 311, 6853, 315, 3395, 2213, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278 ]
279
[ 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, 47467, 74410, 5537, 14324, 304, 29728, 14155, 369, 17843, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 3960, 279, 14324, 315, 74410, 13604, 304, 29728, 14155, 369, 17843, 9079, 13, 576, 5486, 374, 37661, 323, 26257, 279, 14260, 31846, 911, 74410, 86606, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 311, 3960, 279, 14324, 315, 279, 74410, 5537, 304, 264, 29728, 3922, 369, 17843, 13, 576, 4522, 374, 264, 1661, 825, 13, 1084, 4977, 1075, 264, 37661, 5486, 323, 5802, 12827, 13, 3776, 646, 1651, 432, 438, 264, 10519, 315, 279, 74410, 34398, 429, 374, 11136, 19110, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 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 ]
[ 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, 47467, 74410, 5537, 14324, 304, 29728, 14155, 369, 17843, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 3960, 279, 14324, 315, 74410, 13604, 304, 29728, 14155, 369, 17843, 9079, 13, 576, 5486, 374, 37661, 323, 26257, 279, 14260, 31846, 911, 74410, 86606, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 311, 3960, 279, 14324, 315, 279, 74410, 5537, 304, 264, 29728, 3922, 369, 17843, 13, 576, 4522, 374, 264, 1661, 825, 13, 1084, 4977, 1075, 264, 37661, 5486, 323, 5802, 12827, 13, 3776, 646, 1651, 432, 438, 264, 10519, 315, 279, 74410, 34398, 429, 374, 11136, 19110, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 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
[ 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, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 47467, 74410, 5537, 14324, 304, 29728, 14155, 369, 17843, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 3960, 279, 14324, 315, 74410, 13604, 304, 29728, 14155, 369, 17843, 9079, 13, 576, 5486, 374, 37661, 323, 26257, 279, 14260, 31846, 911, 74410, 86606, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 311, 3960, 279, 14324, 315, 279, 74410, 5537, 304, 264, 29728, 3922, 369, 17843, 13, 576, 4522, 374, 264, 1661, 825, 13, 1084, 4977, 1075, 264, 37661, 5486, 323, 5802, 12827, 13, 3776, 646, 1651, 432, 438, 264, 10519, 315, 279, 74410, 34398, 429, 374, 11136, 19110, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 47467, 74410, 5537, 14324, 304, 29728, 14155, 369, 17843, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 3960, 279, 14324, 315, 74410, 13604, 304, 29728, 14155, 369, 17843, 9079, 13, 576, 5486, 374, 37661, 323, 26257, 279, 14260, 31846, 911, 74410, 86606, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 311, 3960, 279, 14324, 315, 279, 74410, 5537, 304, 264, 29728, 3922, 369, 17843, 13, 576, 4522, 374, 264, 1661, 825, 13, 1084, 4977, 1075, 264, 37661, 5486, 323, 5802, 12827, 13, 3776, 646, 1651, 432, 438, 264, 10519, 315, 279, 74410, 34398, 429, 374, 11136, 19110, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 15449, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342 ]
343
[ 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, 29369, 31405, 74410, 25262, 304, 27979, 46797, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 20169, 31405, 5486, 311, 29436, 74410, 7525, 304, 27979, 46797, 77235, 11, 27362, 6832, 315, 74410, 87551, 5043, 4566, 1182, 76571, 27137, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 501, 5486, 369, 73042, 17071, 13786, 304, 27979, 46797, 12681, 77235, 13, 44763, 11, 458, 17646, 374, 10449, 892, 33210, 311, 264, 27979, 46797, 1380, 264, 1378, 47335, 29728, 4179, 40700, 279, 90009, 304, 279, 1590, 23850, 6430, 13, 576, 1376, 18527, 374, 311, 88859, 279, 74410, 5666, 304, 279, 27979, 46797, 438, 264, 36824, 2629, 916, 11127, 892, 20081, 6832, 315, 279, 74410, 87551, 5043, 4566, 1182, 76571, 27137, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 4193, 11, 7199, 714, 11514, 18527, 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, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 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 ]
[ 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, 29369, 31405, 74410, 25262, 304, 27979, 46797, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 20169, 31405, 5486, 311, 29436, 74410, 7525, 304, 27979, 46797, 77235, 11, 27362, 6832, 315, 74410, 87551, 5043, 4566, 1182, 76571, 27137, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 501, 5486, 369, 73042, 17071, 13786, 304, 27979, 46797, 12681, 77235, 13, 44763, 11, 458, 17646, 374, 10449, 892, 33210, 311, 264, 27979, 46797, 1380, 264, 1378, 47335, 29728, 4179, 40700, 279, 90009, 304, 279, 1590, 23850, 6430, 13, 576, 1376, 18527, 374, 311, 88859, 279, 74410, 5666, 304, 279, 27979, 46797, 438, 264, 36824, 2629, 916, 11127, 892, 20081, 6832, 315, 279, 74410, 87551, 5043, 4566, 1182, 76571, 27137, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 4193, 11, 7199, 714, 11514, 18527, 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, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 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
[ 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, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 29369, 31405, 74410, 25262, 304, 27979, 46797, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 20169, 31405, 5486, 311, 29436, 74410, 7525, 304, 27979, 46797, 77235, 11, 27362, 6832, 315, 74410, 87551, 5043, 4566, 1182, 76571, 27137, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 501, 5486, 369, 73042, 17071, 13786, 304, 27979, 46797, 12681, 77235, 13, 44763, 11, 458, 17646, 374, 10449, 892, 33210, 311, 264, 27979, 46797, 1380, 264, 1378, 47335, 29728, 4179, 40700, 279, 90009, 304, 279, 1590, 23850, 6430, 13, 576, 1376, 18527, 374, 311, 88859, 279, 74410, 5666, 304, 279, 27979, 46797, 438, 264, 36824, 2629, 916, 11127, 892, 20081, 6832, 315, 279, 74410, 87551, 5043, 4566, 1182, 76571, 27137, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 4193, 11, 7199, 714, 11514, 18527, 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 ]
[ 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, 29369, 2926, 2071, 20909, 369, 22728, 287, 304, 20185, 40907, 19998, 94506, 26874, 271, 34764, 565, 13513, 8883, 198, 73946, 89412, 6589, 8458, 264, 56597, 3383, 979, 4752, 264, 5383, 17843, 17646, 892, 26674, 1632, 11, 7945, 304, 5926, 20346, 9124, 15301, 4119, 369, 4565, 32189, 13, 1205, 312, 8460, 6334, 74410, 304, 458, 6350, 15301, 438, 264, 729, 315, 35930, 74410, 2415, 4680, 5029, 323, 29614, 279, 990, 315, 58989, 1465, 17289, 504, 20169, 36952, 311, 25240, 279, 9555, 14043, 2878, 279, 1614, 13, 1096, 14762, 6147, 601, 311, 3960, 1128, 1035, 5937, 387, 264, 2884, 5754, 2878, 279, 1614, 323, 47344, 279, 14043, 311, 23192, 5671, 315, 304, 947, 5284, 369, 279, 3383, 10449, 382, 34764, 565, 13513, 55695, 198, 677, 8202, 6, 364, 17640, 6, 364, 2528, 6, 364, 26394, 6, 364, 23617, 1248, 364, 14339, 17843, 17646, 6, 364, 29218, 15301, 4119, 1248, 364, 12753, 32189, 6, 364, 51258, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 29369, 31405, 74410, 25262, 304, 27979, 46797, 4119, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 20169, 31405, 5486, 311, 29436, 74410, 7525, 304, 27979, 46797, 77235, 11, 27362, 6832, 315, 74410, 87551, 5043, 4566, 1182, 76571, 27137, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 16555, 264, 501, 5486, 369, 73042, 17071, 13786, 304, 27979, 46797, 12681, 77235, 13, 44763, 11, 458, 17646, 374, 10449, 892, 33210, 311, 264, 27979, 46797, 1380, 264, 1378, 47335, 29728, 4179, 40700, 279, 90009, 304, 279, 1590, 23850, 6430, 13, 576, 1376, 18527, 374, 311, 88859, 279, 74410, 5666, 304, 279, 27979, 46797, 438, 264, 36824, 2629, 916, 11127, 892, 20081, 6832, 315, 279, 74410, 87551, 5043, 4566, 1182, 76571, 27137, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 4193, 11, 7199, 714, 11514, 18527, 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
[ 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, 623, 65954, 472, 74329, 62890, 57739, 448, 81132, 40069, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 2239, 472, 74329, 12577, 25262, 311, 264, 95240, 6243, 11, 51813, 23327, 6159, 8473, 11, 1995, 11560, 11, 13420, 1455, 754, 32974, 11, 323, 43281, 17590, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 3643, 458, 4774, 518, 32359, 279, 472, 74329, 12577, 6832, 975, 311, 264, 95240, 6243, 13, 758, 264, 92913, 11, 279, 4344, 525, 25, 23327, 6159, 8473, 11, 27699, 261, 1995, 11560, 3941, 6159, 8473, 429, 702, 458, 85897, 6132, 2456, 11, 1667, 21303, 27835, 13420, 1455, 9118, 369, 20169, 323, 82133, 41204, 320, 34527, 12282, 1660, 8131, 701, 323, 1667, 264, 10078, 10807, 83514, 9700, 369, 12459, 1091, 8127, 724, 6, 46414, 12890, 11, 892, 36067, 16745, 42424, 804, 13, 13293, 18527, 315, 279, 5567, 374, 279, 17590, 315, 5943, 11672, 1119, 95240, 50558, 304, 264, 37661, 1616, 13, 576, 12014, 1083, 2924, 458, 74151, 6810, 66, 17270, 23270, 11297, 4647, 1119, 279, 5733, 8837, 382, 34764, 565, 10294, 19216, 198, 21, 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, 11, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 36930, 60477, 38710, 448, 794, 65954, 472, 74329, 62890, 57739, 271, 34764, 565, 13513, 8883, 198, 39, 74329, 12577, 320, 49716, 8, 25262, 702, 1012, 7790, 1483, 369, 4862, 5538, 3233, 954, 52498, 323, 64074, 14155, 13, 50558, 5711, 279, 63280, 349, 20169, 12111, 311, 9245, 2647, 17961, 1526, 82133, 65192, 3871, 429, 646, 387, 24182, 389, 279, 1852, 1973, 315, 882, 438, 52149, 13, 758, 419, 5567, 582, 32194, 419, 3343, 323, 3920, 95240, 50558, 448, 2613, 20169, 323, 82133, 13420, 1455, 9118, 9489, 315, 279, 10337, 1379, 369, 23850, 13, 1205, 5602, 8127, 724, 6, 50558, 369, 419, 6243, 323, 31072, 43281, 11, 264, 1714, 369, 26160, 1062, 25747, 2689, 367, 315, 4565, 67987, 11, 311, 7616, 2348, 916, 6276, 1280, 13, 1913, 23850, 9079, 11, 95240, 50558, 82591, 48758, 4862, 323, 14680, 3059, 304, 12313, 448, 43281, 93983, 2041, 279, 1184, 311, 25240, 6832, 7813, 382, 34764, 565, 13513, 55695, 198, 677, 19133, 2022, 6, 364, 811, 4176, 14155, 6, 364, 267, 65954, 6, 364, 32880, 3233, 954, 52498, 1248, 364, 2758, 951, 14155, 6, 364, 443, 47702, 349, 20169, 12111, 6, 364, 2386, 17961, 1248, 364, 10144, 6, 364, 1358, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 623, 65954, 472, 74329, 62890, 57739, 448, 81132, 40069, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 2239, 472, 74329, 12577, 25262, 311, 264, 95240, 6243, 11, 51813, 23327, 6159, 8473, 11, 1995, 11560, 11, 13420, 1455, 754, 32974, 11, 323, 43281, 17590, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 3643, 458, 4774, 518, 32359, 279, 472, 74329, 12577, 6832, 975, 311, 264, 95240, 6243, 13, 758, 264, 92913, 11, 279, 4344, 525, 25, 23327, 6159, 8473, 11, 27699, 261, 1995, 11560, 3941, 6159, 8473, 429, 702, 458, 85897, 6132, 2456, 11, 1667, 21303, 27835, 13420, 1455, 9118, 369, 20169, 323, 82133, 41204, 320, 34527, 12282, 1660, 8131, 701, 323, 1667, 264, 10078, 10807, 83514, 9700, 369, 12459, 1091, 8127, 724, 6, 46414, 12890, 11, 892, 36067, 16745, 42424, 804, 13, 13293, 18527, 315, 279, 5567, 374, 279, 17590, 315, 5943, 11672, 1119, 95240, 50558, 304, 264, 37661, 1616, 13, 576, 12014, 1083, 2924, 458, 74151, 6810, 66, 17270, 23270, 11297, 4647, 1119, 279, 5733, 8837, 382, 34764, 565, 10294, 19216, 198, 21, 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, 11, 714, 537, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 36930, 60477, 38710, 448, 794, 65954, 472, 74329, 62890, 57739, 271, 34764, 565, 13513, 8883, 198, 39, 74329, 12577, 320, 49716, 8, 25262, 702, 1012, 7790, 1483, 369, 4862, 5538, 3233, 954, 52498, 323, 64074, 14155, 13, 50558, 5711, 279, 63280, 349, 20169, 12111, 311, 9245, 2647, 17961, 1526, 82133, 65192, 3871, 429, 646, 387, 24182, 389, 279, 1852, 1973, 315, 882, 438, 52149, 13, 758, 419, 5567, 582, 32194, 419, 3343, 323, 3920, 95240, 50558, 448, 2613, 20169, 323, 82133, 13420, 1455, 9118, 9489, 315, 279, 10337, 1379, 369, 23850, 13, 1205, 5602, 8127, 724, 6, 50558, 369, 419, 6243, 323, 31072, 43281, 11, 264, 1714, 369, 26160, 1062, 25747, 2689, 367, 315, 4565, 67987, 11, 311, 7616, 2348, 916, 6276, 1280, 13, 1913, 23850, 9079, 11, 95240, 50558, 82591, 48758, 4862, 323, 14680, 3059, 304, 12313, 448, 43281, 93983, 2041, 279, 1184, 311, 25240, 6832, 7813, 382, 34764, 565, 13513, 55695, 198, 677, 19133, 2022, 6, 364, 811, 4176, 14155, 6, 364, 267, 65954, 6, 364, 32880, 3233, 954, 52498, 1248, 364, 2758, 951, 14155, 6, 364, 443, 47702, 349, 20169, 12111, 6, 364, 2386, 17961, 1248, 364, 10144, 6, 364, 1358, 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, 36930, 60477, 38710, 448, 794, 65954, 472, 74329, 62890, 57739, 271, 34764, 565, 13513, 8883, 198, 39, 74329, 12577, 320, 49716, 8, 25262, 702, 1012, 7790, 1483, 369, 4862, 5538, 3233, 954, 52498, 323, 64074, 14155, 13, 50558, 5711, 279, 63280, 349, 20169, 12111, 311, 9245, 2647, 17961, 1526, 82133, 65192, 3871, 429, 646, 387, 24182, 389, 279, 1852, 1973, 315, 882, 438, 52149, 13, 758, 419, 5567, 582, 32194, 419, 3343, 323, 3920, 95240, 50558, 448, 2613, 20169, 323, 82133, 13420, 1455, 9118, 9489, 315, 279, 10337, 1379, 369, 23850, 13, 1205, 5602, 8127, 724, 6, 50558, 369, 419, 6243, 323, 31072, 43281, 11, 264, 1714, 369, 26160, 1062, 25747, 2689, 367, 315, 4565, 67987, 11, 311, 7616, 2348, 916, 6276, 1280, 13, 1913, 23850, 9079, 11, 95240, 50558, 82591, 48758, 4862, 323, 14680, 3059, 304, 12313, 448, 43281, 93983, 2041, 279, 1184, 311, 25240, 6832, 7813, 382, 34764, 565, 13513, 55695, 198, 677, 19133, 2022, 6, 364, 811, 4176, 14155, 6, 364, 267, 65954, 6, 364, 32880, 3233, 954, 52498, 1248, 364, 2758, 951, 14155, 6, 364, 443, 47702, 349, 20169, 12111, 6, 364, 2386, 17961, 1248, 364, 10144, 6, 364, 1358, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 623, 65954, 472, 74329, 62890, 57739, 448, 81132, 40069, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 2239, 472, 74329, 12577, 25262, 311, 264, 95240, 6243, 11, 51813, 23327, 6159, 8473, 11, 1995, 11560, 11, 13420, 1455, 754, 32974, 11, 323, 43281, 17590, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 3643, 458, 4774, 518, 32359, 279, 472, 74329, 12577, 6832, 975, 311, 264, 95240, 6243, 13, 758, 264, 92913, 11, 279, 4344, 525, 25, 23327, 6159, 8473, 11, 27699, 261, 1995, 11560, 3941, 6159, 8473, 429, 702, 458, 85897, 6132, 2456, 11, 1667, 21303, 27835, 13420, 1455, 9118, 369, 20169, 323, 82133, 41204, 320, 34527, 12282, 1660, 8131, 701, 323, 1667, 264, 10078, 10807, 83514, 9700, 369, 12459, 1091, 8127, 724, 6, 46414, 12890, 11, 892, 36067, 16745, 42424, 804, 13, 13293, 18527, 315, 279, 5567, 374, 279, 17590, 315, 5943, 11672, 1119, 95240, 50558, 304, 264, 37661, 1616, 13, 576, 12014, 1083, 2924, 458, 74151, 6810, 66, 17270, 23270, 11297, 4647, 1119, 279, 5733, 8837, 382, 34764, 565, 10294, 19216, 198, 21, 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, 11, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 36930, 60477, 38710, 448, 794, 65954, 472, 74329, 62890, 57739, 271, 34764, 565, 13513, 8883, 198, 39, 74329, 12577, 320, 49716, 8, 25262, 702, 1012, 7790, 1483, 369, 4862, 5538, 3233, 954, 52498, 323, 64074, 14155, 13, 50558, 5711, 279, 63280, 349, 20169, 12111, 311, 9245, 2647, 17961, 1526, 82133, 65192, 3871, 429, 646, 387, 24182, 389, 279, 1852, 1973, 315, 882, 438, 52149, 13, 758, 419, 5567, 582, 32194, 419, 3343, 323, 3920, 95240, 50558, 448, 2613, 20169, 323, 82133, 13420, 1455, 9118, 9489, 315, 279, 10337, 1379, 369, 23850, 13, 1205, 5602, 8127, 724, 6, 50558, 369, 419, 6243, 323, 31072, 43281, 11, 264, 1714, 369, 26160, 1062, 25747, 2689, 367, 315, 4565, 67987, 11, 311, 7616, 2348, 916, 6276, 1280, 13, 1913, 23850, 9079, 11, 95240, 50558, 82591, 48758, 4862, 323, 14680, 3059, 304, 12313, 448, 43281, 93983, 2041, 279, 1184, 311, 25240, 6832, 7813, 382, 34764, 565, 13513, 55695, 198, 677, 19133, 2022, 6, 364, 811, 4176, 14155, 6, 364, 267, 65954, 6, 364, 32880, 3233, 954, 52498, 1248, 364, 2758, 951, 14155, 6, 364, 443, 47702, 349, 20169, 12111, 6, 364, 2386, 17961, 1248, 364, 10144, 6, 364, 1358, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 623, 65954, 472, 74329, 62890, 57739, 448, 81132, 40069, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 2239, 472, 74329, 12577, 25262, 311, 264, 95240, 6243, 11, 51813, 23327, 6159, 8473, 11, 1995, 11560, 11, 13420, 1455, 754, 32974, 11, 323, 43281, 17590, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 3643, 458, 4774, 518, 32359, 279, 472, 74329, 12577, 6832, 975, 311, 264, 95240, 6243, 13, 758, 264, 92913, 11, 279, 4344, 525, 25, 23327, 6159, 8473, 11, 27699, 261, 1995, 11560, 3941, 6159, 8473, 429, 702, 458, 85897, 6132, 2456, 11, 1667, 21303, 27835, 13420, 1455, 9118, 369, 20169, 323, 82133, 41204, 320, 34527, 12282, 1660, 8131, 701, 323, 1667, 264, 10078, 10807, 83514, 9700, 369, 12459, 1091, 8127, 724, 6, 46414, 12890, 11, 892, 36067, 16745, 42424, 804, 13, 13293, 18527, 315, 279, 5567, 374, 279, 17590, 315, 5943, 11672, 1119, 95240, 50558, 304, 264, 37661, 1616, 13, 576, 12014, 1083, 2924, 458, 74151, 6810, 66, 17270, 23270, 11297, 4647, 1119, 279, 5733, 8837, 382, 34764, 565, 10294, 19216, 198, 21, 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, 11, 714, 537, 10875, 3654, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 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, 2078, 18048, 369, 14503, 6125, 3059, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 33845, 279, 18048, 315, 2038, 323, 19502, 311, 22800, 279, 3059, 10449, 304, 279, 5567, 382, 34764, 565, 10294, 8883, 198, 2078, 374, 1431, 2500, 25, 1758, 1110, 2136, 13, 928, 9160, 64, 24138, 53796, 81, 6642, 3630, 11930, 45964, 525, 19502, 311, 22800, 279, 3059, 304, 279, 5567, 382, 34764, 565, 10294, 19216, 198, 16, 25, 2308, 16460, 315, 279, 1887, 4522, 3897, 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, 36930, 60477, 38710, 448, 794, 65954, 472, 74329, 62890, 57739, 271, 34764, 565, 13513, 8883, 198, 39, 74329, 12577, 320, 49716, 8, 25262, 702, 1012, 7790, 1483, 369, 4862, 5538, 3233, 954, 52498, 323, 64074, 14155, 13, 50558, 5711, 279, 63280, 349, 20169, 12111, 311, 9245, 2647, 17961, 1526, 82133, 65192, 3871, 429, 646, 387, 24182, 389, 279, 1852, 1973, 315, 882, 438, 52149, 13, 758, 419, 5567, 582, 32194, 419, 3343, 323, 3920, 95240, 50558, 448, 2613, 20169, 323, 82133, 13420, 1455, 9118, 9489, 315, 279, 10337, 1379, 369, 23850, 13, 1205, 5602, 8127, 724, 6, 50558, 369, 419, 6243, 323, 31072, 43281, 11, 264, 1714, 369, 26160, 1062, 25747, 2689, 367, 315, 4565, 67987, 11, 311, 7616, 2348, 916, 6276, 1280, 13, 1913, 23850, 9079, 11, 95240, 50558, 82591, 48758, 4862, 323, 14680, 3059, 304, 12313, 448, 43281, 93983, 2041, 279, 1184, 311, 25240, 6832, 7813, 382, 34764, 565, 13513, 55695, 198, 677, 19133, 2022, 6, 364, 811, 4176, 14155, 6, 364, 267, 65954, 6, 364, 32880, 3233, 954, 52498, 1248, 364, 2758, 951, 14155, 6, 364, 443, 47702, 349, 20169, 12111, 6, 364, 2386, 17961, 1248, 364, 10144, 6, 364, 1358, 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 ]
[ 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, 2078, 18048, 369, 14503, 6125, 3059, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 33845, 279, 18048, 315, 2038, 323, 19502, 311, 22800, 279, 3059, 10449, 304, 279, 5567, 382, 34764, 565, 10294, 8883, 198, 2078, 374, 1431, 2500, 25, 1758, 1110, 2136, 13, 928, 9160, 64, 24138, 53796, 81, 6642, 3630, 11930, 45964, 525, 19502, 311, 22800, 279, 3059, 304, 279, 5567, 382, 34764, 565, 10294, 19216, 198, 16, 25, 2308, 16460, 315, 279, 1887, 4522, 3897, 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, 36930, 60477, 38710, 448, 794, 65954, 472, 74329, 62890, 57739, 271, 34764, 565, 13513, 8883, 198, 39, 74329, 12577, 320, 49716, 8, 25262, 702, 1012, 7790, 1483, 369, 4862, 5538, 3233, 954, 52498, 323, 64074, 14155, 13, 50558, 5711, 279, 63280, 349, 20169, 12111, 311, 9245, 2647, 17961, 1526, 82133, 65192, 3871, 429, 646, 387, 24182, 389, 279, 1852, 1973, 315, 882, 438, 52149, 13, 758, 419, 5567, 582, 32194, 419, 3343, 323, 3920, 95240, 50558, 448, 2613, 20169, 323, 82133, 13420, 1455, 9118, 9489, 315, 279, 10337, 1379, 369, 23850, 13, 1205, 5602, 8127, 724, 6, 50558, 369, 419, 6243, 323, 31072, 43281, 11, 264, 1714, 369, 26160, 1062, 25747, 2689, 367, 315, 4565, 67987, 11, 311, 7616, 2348, 916, 6276, 1280, 13, 1913, 23850, 9079, 11, 95240, 50558, 82591, 48758, 4862, 323, 14680, 3059, 304, 12313, 448, 43281, 93983, 2041, 279, 1184, 311, 25240, 6832, 7813, 382, 34764, 565, 13513, 55695, 198, 677, 19133, 2022, 6, 364, 811, 4176, 14155, 6, 364, 267, 65954, 6, 364, 32880, 3233, 954, 52498, 1248, 364, 2758, 951, 14155, 6, 364, 443, 47702, 349, 20169, 12111, 6, 364, 2386, 17961, 1248, 364, 10144, 6, 364, 1358, 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
[ 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, 36930, 60477, 38710, 448, 794, 65954, 472, 74329, 62890, 57739, 271, 34764, 565, 13513, 8883, 198, 39, 74329, 12577, 320, 49716, 8, 25262, 702, 1012, 7790, 1483, 369, 4862, 5538, 3233, 954, 52498, 323, 64074, 14155, 13, 50558, 5711, 279, 63280, 349, 20169, 12111, 311, 9245, 2647, 17961, 1526, 82133, 65192, 3871, 429, 646, 387, 24182, 389, 279, 1852, 1973, 315, 882, 438, 52149, 13, 758, 419, 5567, 582, 32194, 419, 3343, 323, 3920, 95240, 50558, 448, 2613, 20169, 323, 82133, 13420, 1455, 9118, 9489, 315, 279, 10337, 1379, 369, 23850, 13, 1205, 5602, 8127, 724, 6, 50558, 369, 419, 6243, 323, 31072, 43281, 11, 264, 1714, 369, 26160, 1062, 25747, 2689, 367, 315, 4565, 67987, 11, 311, 7616, 2348, 916, 6276, 1280, 13, 1913, 23850, 9079, 11, 95240, 50558, 82591, 48758, 4862, 323, 14680, 3059, 304, 12313, 448, 43281, 93983, 2041, 279, 1184, 311, 25240, 6832, 7813, 382, 34764, 565, 13513, 55695, 198, 677, 19133, 2022, 6, 364, 811, 4176, 14155, 6, 364, 267, 65954, 6, 364, 32880, 3233, 954, 52498, 1248, 364, 2758, 951, 14155, 6, 364, 443, 47702, 349, 20169, 12111, 6, 364, 2386, 17961, 1248, 364, 10144, 6, 364, 1358, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2078, 18048, 369, 14503, 6125, 3059, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 33845, 279, 18048, 315, 2038, 323, 19502, 311, 22800, 279, 3059, 10449, 304, 279, 5567, 382, 34764, 565, 10294, 8883, 198, 2078, 374, 1431, 2500, 25, 1758, 1110, 2136, 13, 928, 9160, 64, 24138, 53796, 81, 6642, 3630, 11930, 45964, 525, 19502, 311, 22800, 279, 3059, 304, 279, 5567, 382, 34764, 565, 10294, 19216, 198, 16, 25, 2308, 16460, 315, 279, 1887, 4522, 3897, 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 ]
[ 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, 36930, 60477, 38710, 448, 794, 65954, 472, 74329, 62890, 57739, 271, 34764, 565, 13513, 8883, 198, 39, 74329, 12577, 320, 49716, 8, 25262, 702, 1012, 7790, 1483, 369, 4862, 5538, 3233, 954, 52498, 323, 64074, 14155, 13, 50558, 5711, 279, 63280, 349, 20169, 12111, 311, 9245, 2647, 17961, 1526, 82133, 65192, 3871, 429, 646, 387, 24182, 389, 279, 1852, 1973, 315, 882, 438, 52149, 13, 758, 419, 5567, 582, 32194, 419, 3343, 323, 3920, 95240, 50558, 448, 2613, 20169, 323, 82133, 13420, 1455, 9118, 9489, 315, 279, 10337, 1379, 369, 23850, 13, 1205, 5602, 8127, 724, 6, 50558, 369, 419, 6243, 323, 31072, 43281, 11, 264, 1714, 369, 26160, 1062, 25747, 2689, 367, 315, 4565, 67987, 11, 311, 7616, 2348, 916, 6276, 1280, 13, 1913, 23850, 9079, 11, 95240, 50558, 82591, 48758, 4862, 323, 14680, 3059, 304, 12313, 448, 43281, 93983, 2041, 279, 1184, 311, 25240, 6832, 7813, 382, 34764, 565, 13513, 55695, 198, 677, 19133, 2022, 6, 364, 811, 4176, 14155, 6, 364, 267, 65954, 6, 364, 32880, 3233, 954, 52498, 1248, 364, 2758, 951, 14155, 6, 364, 443, 47702, 349, 20169, 12111, 6, 364, 2386, 17961, 1248, 364, 10144, 6, 364, 1358, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2078, 18048, 369, 14503, 6125, 3059, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 33845, 279, 18048, 315, 2038, 323, 19502, 311, 22800, 279, 3059, 10449, 304, 279, 5567, 382, 34764, 565, 10294, 8883, 198, 2078, 374, 1431, 2500, 25, 1758, 1110, 2136, 13, 928, 9160, 64, 24138, 53796, 81, 6642, 3630, 11930, 45964, 525, 19502, 311, 22800, 279, 3059, 304, 279, 5567, 382, 34764, 565, 10294, 19216, 198, 16, 25, 2308, 16460, 315, 279, 1887, 4522, 3897, 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
[ 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, 14155, 369, 2779, 12, 28764, 17984, 304, 6803, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 1667, 5538, 14155, 311, 9463, 11140, 2779, 12, 28764, 4357, 304, 2766, 23700, 382, 34764, 565, 10294, 8883, 198, 39992, 25, 9463, 7702, 279, 1459, 304, 264, 2766, 8500, 1380, 264, 2779, 12, 28764, 13666, 13, 70670, 3766, 315, 5538, 14155, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 4522, 11, 11514, 3766, 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, 32, 4229, 23375, 55692, 369, 13972, 9420, 344, 1816, 57353, 271, 34764, 565, 13513, 8883, 198, 1654, 7512, 264, 1714, 369, 2779, 12, 28764, 17984, 3118, 389, 264, 52484, 31405, 16414, 429, 646, 387, 15251, 438, 264, 220, 20, 2852, 5074, 8692, 3922, 11, 3118, 14576, 389, 12060, 1149, 29670, 323, 264, 1273, 369, 17846, 45120, 1948, 13530, 315, 15751, 13, 4636, 279, 80043, 315, 279, 47517, 525, 24182, 369, 264, 8500, 315, 14087, 11, 279, 1378, 5477, 7124, 6573, 4482, 6783, 729, 429, 1850, 18304, 279, 8500, 315, 80043, 26569, 279, 4034, 1380, 279, 12804, 13666, 382, 34764, 565, 13513, 55695, 198, 677, 67, 22280, 6, 364, 709, 23375, 16414, 6, 364, 1168, 40094, 6, 364, 15512, 6, 364, 53132, 1248, 364, 20660, 3922, 6, 364, 30398, 1149, 29670, 6, 364, 1944, 6, 364, 73225, 45120, 6, 364, 77256, 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 ]
[ 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, 14155, 369, 2779, 12, 28764, 17984, 304, 6803, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 1667, 5538, 14155, 311, 9463, 11140, 2779, 12, 28764, 4357, 304, 2766, 23700, 382, 34764, 565, 10294, 8883, 198, 39992, 25, 9463, 7702, 279, 1459, 304, 264, 2766, 8500, 1380, 264, 2779, 12, 28764, 13666, 13, 70670, 3766, 315, 5538, 14155, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 4522, 11, 11514, 3766, 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, 32, 4229, 23375, 55692, 369, 13972, 9420, 344, 1816, 57353, 271, 34764, 565, 13513, 8883, 198, 1654, 7512, 264, 1714, 369, 2779, 12, 28764, 17984, 3118, 389, 264, 52484, 31405, 16414, 429, 646, 387, 15251, 438, 264, 220, 20, 2852, 5074, 8692, 3922, 11, 3118, 14576, 389, 12060, 1149, 29670, 323, 264, 1273, 369, 17846, 45120, 1948, 13530, 315, 15751, 13, 4636, 279, 80043, 315, 279, 47517, 525, 24182, 369, 264, 8500, 315, 14087, 11, 279, 1378, 5477, 7124, 6573, 4482, 6783, 729, 429, 1850, 18304, 279, 8500, 315, 80043, 26569, 279, 4034, 1380, 279, 12804, 13666, 382, 34764, 565, 13513, 55695, 198, 677, 67, 22280, 6, 364, 709, 23375, 16414, 6, 364, 1168, 40094, 6, 364, 15512, 6, 364, 53132, 1248, 364, 20660, 3922, 6, 364, 30398, 1149, 29670, 6, 364, 1944, 6, 364, 73225, 45120, 6, 364, 77256, 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
[ 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, 32, 4229, 23375, 55692, 369, 13972, 9420, 344, 1816, 57353, 271, 34764, 565, 13513, 8883, 198, 1654, 7512, 264, 1714, 369, 2779, 12, 28764, 17984, 3118, 389, 264, 52484, 31405, 16414, 429, 646, 387, 15251, 438, 264, 220, 20, 2852, 5074, 8692, 3922, 11, 3118, 14576, 389, 12060, 1149, 29670, 323, 264, 1273, 369, 17846, 45120, 1948, 13530, 315, 15751, 13, 4636, 279, 80043, 315, 279, 47517, 525, 24182, 369, 264, 8500, 315, 14087, 11, 279, 1378, 5477, 7124, 6573, 4482, 6783, 729, 429, 1850, 18304, 279, 8500, 315, 80043, 26569, 279, 4034, 1380, 279, 12804, 13666, 382, 34764, 565, 13513, 55695, 198, 677, 67, 22280, 6, 364, 709, 23375, 16414, 6, 364, 1168, 40094, 6, 364, 15512, 6, 364, 53132, 1248, 364, 20660, 3922, 6, 364, 30398, 1149, 29670, 6, 364, 1944, 6, 364, 73225, 45120, 6, 364, 77256, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 14155, 369, 2779, 12, 28764, 17984, 304, 6803, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 1667, 5538, 14155, 311, 9463, 11140, 2779, 12, 28764, 4357, 304, 2766, 23700, 382, 34764, 565, 10294, 8883, 198, 39992, 25, 9463, 7702, 279, 1459, 304, 264, 2766, 8500, 1380, 264, 2779, 12, 28764, 13666, 13, 70670, 3766, 315, 5538, 14155, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 4522, 11, 11514, 3766, 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 ]
[ 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, 32, 4229, 23375, 55692, 369, 13972, 9420, 344, 1816, 57353, 271, 34764, 565, 13513, 8883, 198, 1654, 7512, 264, 1714, 369, 2779, 12, 28764, 17984, 3118, 389, 264, 52484, 31405, 16414, 429, 646, 387, 15251, 438, 264, 220, 20, 2852, 5074, 8692, 3922, 11, 3118, 14576, 389, 12060, 1149, 29670, 323, 264, 1273, 369, 17846, 45120, 1948, 13530, 315, 15751, 13, 4636, 279, 80043, 315, 279, 47517, 525, 24182, 369, 264, 8500, 315, 14087, 11, 279, 1378, 5477, 7124, 6573, 4482, 6783, 729, 429, 1850, 18304, 279, 8500, 315, 80043, 26569, 279, 4034, 1380, 279, 12804, 13666, 382, 34764, 565, 13513, 55695, 198, 677, 67, 22280, 6, 364, 709, 23375, 16414, 6, 364, 1168, 40094, 6, 364, 15512, 6, 364, 53132, 1248, 364, 20660, 3922, 6, 364, 30398, 1149, 29670, 6, 364, 1944, 6, 364, 73225, 45120, 6, 364, 77256, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33464, 14155, 369, 2779, 12, 28764, 17984, 304, 6803, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 1667, 5538, 14155, 311, 9463, 11140, 2779, 12, 28764, 4357, 304, 2766, 23700, 382, 34764, 565, 10294, 8883, 198, 39992, 25, 9463, 7702, 279, 1459, 304, 264, 2766, 8500, 1380, 264, 2779, 12, 28764, 13666, 13, 70670, 3766, 315, 5538, 14155, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 4522, 11, 11514, 3766, 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
[ 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, 9499, 23375, 16414, 369, 2779, 12, 28764, 17984, 2041, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 11140, 2779, 12804, 304, 2766, 23700, 1667, 264, 52484, 16414, 11, 714, 432, 1558, 537, 21058, 6832, 5980, 19827, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 21538, 311, 88398, 279, 1459, 518, 892, 7761, 21749, 304, 264, 2766, 8500, 13, 1084, 1558, 537, 2803, 311, 21058, 894, 6832, 11, 432, 9355, 1558, 537, 4946, 518, 358, 74058, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 6832, 5980, 5486, 271, 34764, 565, 10294, 86324, 198, 40, 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, 32, 4229, 23375, 55692, 369, 13972, 9420, 344, 1816, 57353, 271, 34764, 565, 13513, 8883, 198, 1654, 7512, 264, 1714, 369, 2779, 12, 28764, 17984, 3118, 389, 264, 52484, 31405, 16414, 429, 646, 387, 15251, 438, 264, 220, 20, 2852, 5074, 8692, 3922, 11, 3118, 14576, 389, 12060, 1149, 29670, 323, 264, 1273, 369, 17846, 45120, 1948, 13530, 315, 15751, 13, 4636, 279, 80043, 315, 279, 47517, 525, 24182, 369, 264, 8500, 315, 14087, 11, 279, 1378, 5477, 7124, 6573, 4482, 6783, 729, 429, 1850, 18304, 279, 8500, 315, 80043, 26569, 279, 4034, 1380, 279, 12804, 13666, 382, 34764, 565, 13513, 55695, 198, 677, 67, 22280, 6, 364, 709, 23375, 16414, 6, 364, 1168, 40094, 6, 364, 15512, 6, 364, 53132, 1248, 364, 20660, 3922, 6, 364, 30398, 1149, 29670, 6, 364, 1944, 6, 364, 73225, 45120, 6, 364, 77256, 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 ]
[ 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, 9499, 23375, 16414, 369, 2779, 12, 28764, 17984, 2041, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 11140, 2779, 12804, 304, 2766, 23700, 1667, 264, 52484, 16414, 11, 714, 432, 1558, 537, 21058, 6832, 5980, 19827, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 21538, 311, 88398, 279, 1459, 518, 892, 7761, 21749, 304, 264, 2766, 8500, 13, 1084, 1558, 537, 2803, 311, 21058, 894, 6832, 11, 432, 9355, 1558, 537, 4946, 518, 358, 74058, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 6832, 5980, 5486, 271, 34764, 565, 10294, 86324, 198, 40, 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, 32, 4229, 23375, 55692, 369, 13972, 9420, 344, 1816, 57353, 271, 34764, 565, 13513, 8883, 198, 1654, 7512, 264, 1714, 369, 2779, 12, 28764, 17984, 3118, 389, 264, 52484, 31405, 16414, 429, 646, 387, 15251, 438, 264, 220, 20, 2852, 5074, 8692, 3922, 11, 3118, 14576, 389, 12060, 1149, 29670, 323, 264, 1273, 369, 17846, 45120, 1948, 13530, 315, 15751, 13, 4636, 279, 80043, 315, 279, 47517, 525, 24182, 369, 264, 8500, 315, 14087, 11, 279, 1378, 5477, 7124, 6573, 4482, 6783, 729, 429, 1850, 18304, 279, 8500, 315, 80043, 26569, 279, 4034, 1380, 279, 12804, 13666, 382, 34764, 565, 13513, 55695, 198, 677, 67, 22280, 6, 364, 709, 23375, 16414, 6, 364, 1168, 40094, 6, 364, 15512, 6, 364, 53132, 1248, 364, 20660, 3922, 6, 364, 30398, 1149, 29670, 6, 364, 1944, 6, 364, 73225, 45120, 6, 364, 77256, 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
[ 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, 32, 4229, 23375, 55692, 369, 13972, 9420, 344, 1816, 57353, 271, 34764, 565, 13513, 8883, 198, 1654, 7512, 264, 1714, 369, 2779, 12, 28764, 17984, 3118, 389, 264, 52484, 31405, 16414, 429, 646, 387, 15251, 438, 264, 220, 20, 2852, 5074, 8692, 3922, 11, 3118, 14576, 389, 12060, 1149, 29670, 323, 264, 1273, 369, 17846, 45120, 1948, 13530, 315, 15751, 13, 4636, 279, 80043, 315, 279, 47517, 525, 24182, 369, 264, 8500, 315, 14087, 11, 279, 1378, 5477, 7124, 6573, 4482, 6783, 729, 429, 1850, 18304, 279, 8500, 315, 80043, 26569, 279, 4034, 1380, 279, 12804, 13666, 382, 34764, 565, 13513, 55695, 198, 677, 67, 22280, 6, 364, 709, 23375, 16414, 6, 364, 1168, 40094, 6, 364, 15512, 6, 364, 53132, 1248, 364, 20660, 3922, 6, 364, 30398, 1149, 29670, 6, 364, 1944, 6, 364, 73225, 45120, 6, 364, 77256, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 9499, 23375, 16414, 369, 2779, 12, 28764, 17984, 2041, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 11140, 2779, 12804, 304, 2766, 23700, 1667, 264, 52484, 16414, 11, 714, 432, 1558, 537, 21058, 6832, 5980, 19827, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 21538, 311, 88398, 279, 1459, 518, 892, 7761, 21749, 304, 264, 2766, 8500, 13, 1084, 1558, 537, 2803, 311, 21058, 894, 6832, 11, 432, 9355, 1558, 537, 4946, 518, 358, 74058, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 6832, 5980, 5486, 271, 34764, 565, 10294, 86324, 198, 40, 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 ]
[ 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, 32, 4229, 23375, 55692, 369, 13972, 9420, 344, 1816, 57353, 271, 34764, 565, 13513, 8883, 198, 1654, 7512, 264, 1714, 369, 2779, 12, 28764, 17984, 3118, 389, 264, 52484, 31405, 16414, 429, 646, 387, 15251, 438, 264, 220, 20, 2852, 5074, 8692, 3922, 11, 3118, 14576, 389, 12060, 1149, 29670, 323, 264, 1273, 369, 17846, 45120, 1948, 13530, 315, 15751, 13, 4636, 279, 80043, 315, 279, 47517, 525, 24182, 369, 264, 8500, 315, 14087, 11, 279, 1378, 5477, 7124, 6573, 4482, 6783, 729, 429, 1850, 18304, 279, 8500, 315, 80043, 26569, 279, 4034, 1380, 279, 12804, 13666, 382, 34764, 565, 13513, 55695, 198, 677, 67, 22280, 6, 364, 709, 23375, 16414, 6, 364, 1168, 40094, 6, 364, 15512, 6, 364, 53132, 1248, 364, 20660, 3922, 6, 364, 30398, 1149, 29670, 6, 364, 1944, 6, 364, 73225, 45120, 6, 364, 77256, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 9499, 23375, 16414, 369, 2779, 12, 28764, 17984, 2041, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 11140, 2779, 12804, 304, 2766, 23700, 1667, 264, 52484, 16414, 11, 714, 432, 1558, 537, 21058, 6832, 5980, 19827, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 21538, 311, 88398, 279, 1459, 518, 892, 7761, 21749, 304, 264, 2766, 8500, 13, 1084, 1558, 537, 2803, 311, 21058, 894, 6832, 11, 432, 9355, 1558, 537, 4946, 518, 358, 74058, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 6832, 5980, 5486, 271, 34764, 565, 10294, 86324, 198, 40, 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
[ 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, 19432, 8388, 37623, 311, 472, 7306, 594, 47639, 975, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 21314, 264, 37623, 1948, 279, 5567, 594, 5486, 323, 472, 7306, 594, 975, 389, 64779, 11, 22561, 264, 44377, 311, 472, 7306, 594, 5567, 382, 34764, 565, 10294, 8883, 198, 785, 975, 29724, 1045, 42774, 311, 472, 7306, 594, 3213, 975, 389, 364, 48233, 2425, 6, 323, 432, 1231, 387, 5802, 32164, 429, 5567, 25, 472, 7306, 11, 479, 13, 468, 2572, 16447, 449, 80813, 26684, 11, 362, 13, 323, 28246, 11, 328, 13, 320, 17, 15, 16, 16, 8, 15226, 287, 8979, 12, 954, 52498, 13, 19288, 12003, 12, 16, 16, 25, 7179, 14872, 389, 58194, 60477, 38710, 11, 76334, 382, 34764, 565, 10294, 19216, 198, 2753, 10728, 3897, 11, 1172, 264, 3980, 389, 37623, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 37623, 10342, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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 ]
[ 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, 19432, 8388, 37623, 311, 472, 7306, 594, 47639, 975, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 21314, 264, 37623, 1948, 279, 5567, 594, 5486, 323, 472, 7306, 594, 975, 389, 64779, 11, 22561, 264, 44377, 311, 472, 7306, 594, 5567, 382, 34764, 565, 10294, 8883, 198, 785, 975, 29724, 1045, 42774, 311, 472, 7306, 594, 3213, 975, 389, 364, 48233, 2425, 6, 323, 432, 1231, 387, 5802, 32164, 429, 5567, 25, 472, 7306, 11, 479, 13, 468, 2572, 16447, 449, 80813, 26684, 11, 362, 13, 323, 28246, 11, 328, 13, 320, 17, 15, 16, 16, 8, 15226, 287, 8979, 12, 954, 52498, 13, 19288, 12003, 12, 16, 16, 25, 7179, 14872, 389, 58194, 60477, 38710, 11, 76334, 382, 34764, 565, 10294, 19216, 198, 2753, 10728, 3897, 11, 1172, 264, 3980, 389, 37623, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 37623, 10342, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 19432, 8388, 37623, 311, 472, 7306, 594, 47639, 975, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 21314, 264, 37623, 1948, 279, 5567, 594, 5486, 323, 472, 7306, 594, 975, 389, 64779, 11, 22561, 264, 44377, 311, 472, 7306, 594, 5567, 382, 34764, 565, 10294, 8883, 198, 785, 975, 29724, 1045, 42774, 311, 472, 7306, 594, 3213, 975, 389, 364, 48233, 2425, 6, 323, 432, 1231, 387, 5802, 32164, 429, 5567, 25, 472, 7306, 11, 479, 13, 468, 2572, 16447, 449, 80813, 26684, 11, 362, 13, 323, 28246, 11, 328, 13, 320, 17, 15, 16, 16, 8, 15226, 287, 8979, 12, 954, 52498, 13, 19288, 12003, 12, 16, 16, 25, 7179, 14872, 389, 58194, 60477, 38710, 11, 76334, 382, 34764, 565, 10294, 19216, 198, 2753, 10728, 3897, 11, 1172, 264, 3980, 389, 37623, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 37623, 10342, 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 ]
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 19432, 8388, 37623, 311, 472, 7306, 594, 47639, 975, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 21314, 264, 37623, 1948, 279, 5567, 594, 5486, 323, 472, 7306, 594, 975, 389, 64779, 11, 22561, 264, 44377, 311, 472, 7306, 594, 5567, 382, 34764, 565, 10294, 8883, 198, 785, 975, 29724, 1045, 42774, 311, 472, 7306, 594, 3213, 975, 389, 364, 48233, 2425, 6, 323, 432, 1231, 387, 5802, 32164, 429, 5567, 25, 472, 7306, 11, 479, 13, 468, 2572, 16447, 449, 80813, 26684, 11, 362, 13, 323, 28246, 11, 328, 13, 320, 17, 15, 16, 16, 8, 15226, 287, 8979, 12, 954, 52498, 13, 19288, 12003, 12, 16, 16, 25, 7179, 14872, 389, 58194, 60477, 38710, 11, 76334, 382, 34764, 565, 10294, 19216, 198, 2753, 10728, 3897, 11, 1172, 264, 3980, 389, 37623, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 37623, 10342, 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
[ 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, 2016, 333, 2005, 10997, 6832, 369, 7299, 10188, 530, 17773, 63365, 17289, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 1714, 369, 6832, 557, 333, 2005, 10997, 5424, 11, 10693, 1817, 10997, 311, 6407, 311, 1181, 22823, 2309, 311, 1614, 8286, 5944, 13, 576, 5486, 34950, 916, 5792, 33444, 10822, 10997, 6832, 323, 374, 9251, 311, 7299, 10188, 530, 17773, 63365, 17289, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 1714, 369, 6832, 557, 333, 2005, 10997, 5424, 481, 600, 1734, 2572, 1817, 10997, 374, 5420, 311, 6407, 311, 1181, 22823, 2309, 311, 1614, 5944, 304, 264, 8286, 13, 1096, 5486, 1410, 387, 6707, 21815, 369, 264, 55712, 1614, 13, 576, 6672, 1588, 374, 429, 279, 36829, 525, 52479, 13761, 916, 6407, 13, 576, 12014, 1231, 1366, 311, 1459, 700, 279, 42774, 323, 11799, 311, 264, 55712, 33444, 10822, 1614, 369, 279, 6604, 382, 34764, 565, 10294, 19216, 198, 22, 25, 4193, 11, 1661, 4522, 448, 4650, 5421, 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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 ]
[ 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, 2016, 333, 2005, 10997, 6832, 369, 7299, 10188, 530, 17773, 63365, 17289, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 1714, 369, 6832, 557, 333, 2005, 10997, 5424, 11, 10693, 1817, 10997, 311, 6407, 311, 1181, 22823, 2309, 311, 1614, 8286, 5944, 13, 576, 5486, 34950, 916, 5792, 33444, 10822, 10997, 6832, 323, 374, 9251, 311, 7299, 10188, 530, 17773, 63365, 17289, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 1714, 369, 6832, 557, 333, 2005, 10997, 5424, 481, 600, 1734, 2572, 1817, 10997, 374, 5420, 311, 6407, 311, 1181, 22823, 2309, 311, 1614, 5944, 304, 264, 8286, 13, 1096, 5486, 1410, 387, 6707, 21815, 369, 264, 55712, 1614, 13, 576, 6672, 1588, 374, 429, 279, 36829, 525, 52479, 13761, 916, 6407, 13, 576, 12014, 1231, 1366, 311, 1459, 700, 279, 42774, 323, 11799, 311, 264, 55712, 33444, 10822, 1614, 369, 279, 6604, 382, 34764, 565, 10294, 19216, 198, 22, 25, 4193, 11, 1661, 4522, 448, 4650, 5421, 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2016, 333, 2005, 10997, 6832, 369, 7299, 10188, 530, 17773, 63365, 17289, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 1714, 369, 6832, 557, 333, 2005, 10997, 5424, 11, 10693, 1817, 10997, 311, 6407, 311, 1181, 22823, 2309, 311, 1614, 8286, 5944, 13, 576, 5486, 34950, 916, 5792, 33444, 10822, 10997, 6832, 323, 374, 9251, 311, 7299, 10188, 530, 17773, 63365, 17289, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 1714, 369, 6832, 557, 333, 2005, 10997, 5424, 481, 600, 1734, 2572, 1817, 10997, 374, 5420, 311, 6407, 311, 1181, 22823, 2309, 311, 1614, 5944, 304, 264, 8286, 13, 1096, 5486, 1410, 387, 6707, 21815, 369, 264, 55712, 1614, 13, 576, 6672, 1588, 374, 429, 279, 36829, 525, 52479, 13761, 916, 6407, 13, 576, 12014, 1231, 1366, 311, 1459, 700, 279, 42774, 323, 11799, 311, 264, 55712, 33444, 10822, 1614, 369, 279, 6604, 382, 34764, 565, 10294, 19216, 198, 22, 25, 4193, 11, 1661, 4522, 448, 4650, 5421, 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 ]
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 2016, 333, 2005, 10997, 6832, 369, 7299, 10188, 530, 17773, 63365, 17289, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 1714, 369, 6832, 557, 333, 2005, 10997, 5424, 11, 10693, 1817, 10997, 311, 6407, 311, 1181, 22823, 2309, 311, 1614, 8286, 5944, 13, 576, 5486, 34950, 916, 5792, 33444, 10822, 10997, 6832, 323, 374, 9251, 311, 7299, 10188, 530, 17773, 63365, 17289, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 1714, 369, 6832, 557, 333, 2005, 10997, 5424, 481, 600, 1734, 2572, 1817, 10997, 374, 5420, 311, 6407, 311, 1181, 22823, 2309, 311, 1614, 5944, 304, 264, 8286, 13, 1096, 5486, 1410, 387, 6707, 21815, 369, 264, 55712, 1614, 13, 576, 6672, 1588, 374, 429, 279, 36829, 525, 52479, 13761, 916, 6407, 13, 576, 12014, 1231, 1366, 311, 1459, 700, 279, 42774, 323, 11799, 311, 264, 55712, 33444, 10822, 1614, 369, 279, 6604, 382, 34764, 565, 10294, 19216, 198, 22, 25, 4193, 11, 1661, 4522, 448, 4650, 5421, 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
[ 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, 85518, 7388, 312, 5655, 23819, 1283, 8837, 271, 34764, 565, 10294, 21517, 198, 785, 55514, 7388, 264, 312, 5655, 23819, 315, 279, 5567, 1283, 12831, 279, 12014, 6, 14507, 323, 279, 6049, 2319, 382, 34764, 565, 10294, 8883, 198, 5501, 1349, 279, 3150, 594, 14507, 311, 697, 3395, 323, 279, 6049, 2319, 315, 279, 5567, 13, 3155, 807, 2297, 697, 16460, 315, 279, 5567, 1939, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 11, 15280, 312, 5655, 23819, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 11, 15280, 312, 5655, 23819, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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 ]
[ 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, 85518, 7388, 312, 5655, 23819, 1283, 8837, 271, 34764, 565, 10294, 21517, 198, 785, 55514, 7388, 264, 312, 5655, 23819, 315, 279, 5567, 1283, 12831, 279, 12014, 6, 14507, 323, 279, 6049, 2319, 382, 34764, 565, 10294, 8883, 198, 5501, 1349, 279, 3150, 594, 14507, 311, 697, 3395, 323, 279, 6049, 2319, 315, 279, 5567, 13, 3155, 807, 2297, 697, 16460, 315, 279, 5567, 1939, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 11, 15280, 312, 5655, 23819, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 11, 15280, 312, 5655, 23819, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 85518, 7388, 312, 5655, 23819, 1283, 8837, 271, 34764, 565, 10294, 21517, 198, 785, 55514, 7388, 264, 312, 5655, 23819, 315, 279, 5567, 1283, 12831, 279, 12014, 6, 14507, 323, 279, 6049, 2319, 382, 34764, 565, 10294, 8883, 198, 5501, 1349, 279, 3150, 594, 14507, 311, 697, 3395, 323, 279, 6049, 2319, 315, 279, 5567, 13, 3155, 807, 2297, 697, 16460, 315, 279, 5567, 1939, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 11, 15280, 312, 5655, 23819, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 11, 15280, 312, 5655, 23819, 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 ]
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 85518, 7388, 312, 5655, 23819, 1283, 8837, 271, 34764, 565, 10294, 21517, 198, 785, 55514, 7388, 264, 312, 5655, 23819, 315, 279, 5567, 1283, 12831, 279, 12014, 6, 14507, 323, 279, 6049, 2319, 382, 34764, 565, 10294, 8883, 198, 5501, 1349, 279, 3150, 594, 14507, 311, 697, 3395, 323, 279, 6049, 2319, 315, 279, 5567, 13, 3155, 807, 2297, 697, 16460, 315, 279, 5567, 1939, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 11, 15280, 312, 5655, 23819, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 11, 15280, 312, 5655, 23819, 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
[ 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, 41, 3248, 25747, 27781, 33444, 10822, 369, 75808, 8286, 65166, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 84392, 25747, 27781, 33444, 10822, 1714, 311, 7269, 8286, 65166, 304, 75808, 821, 553, 48706, 287, 264, 10997, 448, 18965, 745, 28973, 5424, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 33444, 10822, 11424, 2598, 364, 73, 3248, 25747, 27781, 6, 33444, 10822, 11, 19469, 518, 18392, 279, 15024, 315, 33444, 10822, 553, 48706, 287, 264, 10997, 448, 18965, 745, 28973, 5424, 13, 576, 88589, 990, 1142, 374, 75808, 821, 11, 1380, 29728, 5702, 646, 30789, 518, 894, 882, 11, 304, 32199, 429, 9390, 5248, 14633, 11744, 13, 66701, 1493, 83889, 1035, 387, 14975, 438, 279, 10997, 6813, 553, 264, 10997, 70756, 12111, 13, 75808, 821, 702, 1012, 29139, 448, 33444, 10822, 1573, 11, 438, 10342, 553, 279, 12014, 11, 323, 279, 5244, 315, 419, 5567, 374, 279, 990, 315, 84392, 25747, 27781, 10997, 6832, 311, 11075, 264, 803, 5390, 8286, 65166, 13, 576, 990, 315, 84392, 47132, 10997, 6832, 374, 12824, 458, 41679, 323, 7373, 8282, 369, 41286, 279, 32199, 315, 27268, 323, 5042, 821, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 11, 714, 537, 3746, 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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 ]
[ 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, 41, 3248, 25747, 27781, 33444, 10822, 369, 75808, 8286, 65166, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 84392, 25747, 27781, 33444, 10822, 1714, 311, 7269, 8286, 65166, 304, 75808, 821, 553, 48706, 287, 264, 10997, 448, 18965, 745, 28973, 5424, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 33444, 10822, 11424, 2598, 364, 73, 3248, 25747, 27781, 6, 33444, 10822, 11, 19469, 518, 18392, 279, 15024, 315, 33444, 10822, 553, 48706, 287, 264, 10997, 448, 18965, 745, 28973, 5424, 13, 576, 88589, 990, 1142, 374, 75808, 821, 11, 1380, 29728, 5702, 646, 30789, 518, 894, 882, 11, 304, 32199, 429, 9390, 5248, 14633, 11744, 13, 66701, 1493, 83889, 1035, 387, 14975, 438, 279, 10997, 6813, 553, 264, 10997, 70756, 12111, 13, 75808, 821, 702, 1012, 29139, 448, 33444, 10822, 1573, 11, 438, 10342, 553, 279, 12014, 11, 323, 279, 5244, 315, 419, 5567, 374, 279, 990, 315, 84392, 25747, 27781, 10997, 6832, 311, 11075, 264, 803, 5390, 8286, 65166, 13, 576, 990, 315, 84392, 47132, 10997, 6832, 374, 12824, 458, 41679, 323, 7373, 8282, 369, 41286, 279, 32199, 315, 27268, 323, 5042, 821, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 11, 714, 537, 3746, 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 41, 3248, 25747, 27781, 33444, 10822, 369, 75808, 8286, 65166, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 84392, 25747, 27781, 33444, 10822, 1714, 311, 7269, 8286, 65166, 304, 75808, 821, 553, 48706, 287, 264, 10997, 448, 18965, 745, 28973, 5424, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 33444, 10822, 11424, 2598, 364, 73, 3248, 25747, 27781, 6, 33444, 10822, 11, 19469, 518, 18392, 279, 15024, 315, 33444, 10822, 553, 48706, 287, 264, 10997, 448, 18965, 745, 28973, 5424, 13, 576, 88589, 990, 1142, 374, 75808, 821, 11, 1380, 29728, 5702, 646, 30789, 518, 894, 882, 11, 304, 32199, 429, 9390, 5248, 14633, 11744, 13, 66701, 1493, 83889, 1035, 387, 14975, 438, 279, 10997, 6813, 553, 264, 10997, 70756, 12111, 13, 75808, 821, 702, 1012, 29139, 448, 33444, 10822, 1573, 11, 438, 10342, 553, 279, 12014, 11, 323, 279, 5244, 315, 419, 5567, 374, 279, 990, 315, 84392, 25747, 27781, 10997, 6832, 311, 11075, 264, 803, 5390, 8286, 65166, 13, 576, 990, 315, 84392, 47132, 10997, 6832, 374, 12824, 458, 41679, 323, 7373, 8282, 369, 41286, 279, 32199, 315, 27268, 323, 5042, 821, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 11, 714, 537, 3746, 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 ]
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 41, 3248, 25747, 27781, 33444, 10822, 369, 75808, 8286, 65166, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 84392, 25747, 27781, 33444, 10822, 1714, 311, 7269, 8286, 65166, 304, 75808, 821, 553, 48706, 287, 264, 10997, 448, 18965, 745, 28973, 5424, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 38919, 264, 33444, 10822, 11424, 2598, 364, 73, 3248, 25747, 27781, 6, 33444, 10822, 11, 19469, 518, 18392, 279, 15024, 315, 33444, 10822, 553, 48706, 287, 264, 10997, 448, 18965, 745, 28973, 5424, 13, 576, 88589, 990, 1142, 374, 75808, 821, 11, 1380, 29728, 5702, 646, 30789, 518, 894, 882, 11, 304, 32199, 429, 9390, 5248, 14633, 11744, 13, 66701, 1493, 83889, 1035, 387, 14975, 438, 279, 10997, 6813, 553, 264, 10997, 70756, 12111, 13, 75808, 821, 702, 1012, 29139, 448, 33444, 10822, 1573, 11, 438, 10342, 553, 279, 12014, 11, 323, 279, 5244, 315, 419, 5567, 374, 279, 990, 315, 84392, 25747, 27781, 10997, 6832, 311, 11075, 264, 803, 5390, 8286, 65166, 13, 576, 990, 315, 84392, 47132, 10997, 6832, 374, 12824, 458, 41679, 323, 7373, 8282, 369, 41286, 279, 32199, 315, 27268, 323, 5042, 821, 382, 34764, 565, 10294, 19216, 198, 21, 25, 4745, 745, 3403, 25505, 12171, 11, 714, 537, 3746, 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
[ 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, 85518, 7388, 312, 5655, 23819, 1283, 8837, 271, 34764, 565, 10294, 21517, 198, 785, 55514, 17064, 369, 264, 312, 5655, 23819, 315, 279, 5567, 1283, 33888, 279, 3150, 594, 14507, 323, 279, 6049, 2319, 382, 34764, 565, 10294, 8883, 198, 5501, 1349, 279, 3150, 594, 14507, 311, 697, 3395, 323, 279, 6049, 2319, 315, 279, 5567, 13, 3155, 807, 2297, 697, 16460, 315, 279, 5567, 1939, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 11, 15280, 312, 5655, 23819, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 11, 15280, 312, 5655, 23819, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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 ]
[ 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, 85518, 7388, 312, 5655, 23819, 1283, 8837, 271, 34764, 565, 10294, 21517, 198, 785, 55514, 17064, 369, 264, 312, 5655, 23819, 315, 279, 5567, 1283, 33888, 279, 3150, 594, 14507, 323, 279, 6049, 2319, 382, 34764, 565, 10294, 8883, 198, 5501, 1349, 279, 3150, 594, 14507, 311, 697, 3395, 323, 279, 6049, 2319, 315, 279, 5567, 13, 3155, 807, 2297, 697, 16460, 315, 279, 5567, 1939, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 11, 15280, 312, 5655, 23819, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 11, 15280, 312, 5655, 23819, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 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
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 85518, 7388, 312, 5655, 23819, 1283, 8837, 271, 34764, 565, 10294, 21517, 198, 785, 55514, 17064, 369, 264, 312, 5655, 23819, 315, 279, 5567, 1283, 33888, 279, 3150, 594, 14507, 323, 279, 6049, 2319, 382, 34764, 565, 10294, 8883, 198, 5501, 1349, 279, 3150, 594, 14507, 311, 697, 3395, 323, 279, 6049, 2319, 315, 279, 5567, 13, 3155, 807, 2297, 697, 16460, 315, 279, 5567, 1939, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 11, 15280, 312, 5655, 23819, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 11, 15280, 312, 5655, 23819, 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 ]
[ 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, 41, 3248, 12, 2589, 27781, 10466, 20909, 481, 7323, 311, 17439, 9285, 6619, 31259, 63365, 82499, 271, 34764, 565, 13513, 8883, 198, 8517, 20909, 702, 16622, 311, 387, 264, 7988, 5392, 369, 1657, 2168, 8692, 9079, 11, 1380, 32199, 525, 11136, 4512, 389, 2613, 2168, 28660, 13, 1634, 264, 87520, 11, 279, 10997, 1172, 3209, 2539, 6770, 14389, 13, 758, 5256, 11, 419, 5486, 31739, 28660, 315, 2155, 10468, 304, 825, 3175, 738, 11, 892, 3363, 264, 4709, 315, 1995, 979, 4419, 525, 1632, 97451, 3941, 17289, 13, 1096, 374, 279, 1142, 11, 369, 2867, 11, 304, 7299, 10188, 530, 8455, 11023, 12, 476, 24394, 763, 759, 278, 5696, 320, 44, 14, 7099, 38, 568, 20909, 279, 10997, 389, 279, 4453, 17289, 1410, 1281, 990, 315, 279, 17189, 323, 16400, 5080, 11591, 4419, 13, 758, 419, 1142, 11, 4764, 11, 2613, 5786, 6612, 1368, 476, 10262, 26244, 315, 4419, 1035, 537, 387, 65882, 369, 13, 758, 419, 5567, 11, 582, 29614, 458, 8894, 311, 279, 4185, 10997, 6832, 12626, 311, 22279, 1493, 9481, 553, 10693, 32199, 311, 10515, 862, 2309, 3941, 17289, 13, 576, 1714, 374, 32332, 389, 45736, 323, 1931, 17773, 63365, 821, 382, 34764, 565, 13513, 55695, 198, 677, 35671, 6, 364, 20304, 6, 364, 5132, 6, 364, 65550, 6, 364, 60615, 6, 364, 5638, 1248, 364, 811, 2798, 63365, 17289, 6, 364, 13175, 1262, 5392, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 85518, 7388, 312, 5655, 23819, 1283, 8837, 271, 34764, 565, 10294, 21517, 198, 785, 55514, 17064, 369, 264, 312, 5655, 23819, 315, 279, 5567, 1283, 33888, 279, 3150, 594, 14507, 323, 279, 6049, 2319, 382, 34764, 565, 10294, 8883, 198, 5501, 1349, 279, 3150, 594, 14507, 311, 697, 3395, 323, 279, 6049, 2319, 315, 279, 5567, 13, 3155, 807, 2297, 697, 16460, 315, 279, 5567, 1939, 34764, 565, 10294, 19216, 198, 2753, 5456, 3897, 11, 15280, 312, 5655, 23819, 271, 34764, 565, 10294, 86324, 198, 2753, 12136, 5456, 3897, 11, 15280, 312, 5655, 23819, 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
[ 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, 42, 7268, 39, 369, 18267, 58515, 77990, 933, 75046, 1388, 58354, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 1667, 10001, 1506, 68087, 56667, 72355, 320, 42, 7268, 39, 8, 448, 264, 9498, 37623, 18266, 311, 42780, 933, 75046, 1388, 58354, 11, 37078, 311, 8708, 536, 5944, 504, 29829, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 311, 990, 10001, 1506, 68087, 56667, 72355, 320, 42, 7268, 39, 701, 3118, 389, 264, 37623, 18266, 9498, 504, 29829, 821, 11, 311, 42780, 933, 75046, 1388, 320, 71, 98950, 8, 58354, 13, 4598, 75046, 1388, 58354, 7460, 11, 518, 1817, 19569, 11, 311, 1477, 279, 6716, 315, 18093, 26968, 13, 576, 4522, 4815, 419, 5567, 374, 429, 730, 7268, 39, 646, 387, 1483, 311, 42780, 279, 2711, 369, 1493, 13530, 315, 26968, 13, 7281, 11, 279, 990, 315, 264, 9498, 11, 58989, 18266, 1265, 14907, 279, 32189, 315, 264, 58354, 429, 25963, 279, 536, 5944, 315, 279, 821, 7982, 11, 1496, 421, 24182, 504, 264, 12040, 2613, 25993, 315, 29829, 821, 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, 26343, 1506, 13600, 2719, 6222, 18723, 6531, 287, 369, 54638, 6222, 454, 77990, 4598, 75046, 1388, 2435, 36694, 271, 34764, 565, 13513, 8883, 198, 34253, 5452, 933, 75046, 1388, 58354, 374, 56680, 291, 553, 54480, 62974, 13, 1205, 29614, 264, 11514, 12859, 1380, 4734, 946, 73655, 6010, 21937, 374, 12575, 553, 279, 9582, 5311, 6010, 1948, 36603, 1506, 13600, 2719, 6222, 18723, 6531, 287, 320, 42, 7268, 39, 8, 50676, 2750, 13, 1096, 3059, 304, 264, 1714, 429, 47763, 42054, 34447, 882, 13, 22406, 11, 582, 1896, 9423, 315, 3654, 29829, 821, 3501, 4566, 6010, 18266, 6832, 311, 11075, 14680, 16052, 323, 19091, 382, 34764, 565, 13513, 55695, 198, 677, 8296, 287, 6, 364, 351, 75046, 1388, 6, 364, 64947, 1663, 62974, 6, 364, 38042, 301, 12859, 6, 364, 46385, 1248, 364, 19348, 21937, 6, 364, 19348, 6, 364, 10561, 927, 6, 364, 3661, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 42, 7268, 39, 369, 18267, 58515, 77990, 933, 75046, 1388, 58354, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 1667, 10001, 1506, 68087, 56667, 72355, 320, 42, 7268, 39, 8, 448, 264, 9498, 37623, 18266, 311, 42780, 933, 75046, 1388, 58354, 11, 37078, 311, 8708, 536, 5944, 504, 29829, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 311, 990, 10001, 1506, 68087, 56667, 72355, 320, 42, 7268, 39, 701, 3118, 389, 264, 37623, 18266, 9498, 504, 29829, 821, 11, 311, 42780, 933, 75046, 1388, 320, 71, 98950, 8, 58354, 13, 4598, 75046, 1388, 58354, 7460, 11, 518, 1817, 19569, 11, 311, 1477, 279, 6716, 315, 18093, 26968, 13, 576, 4522, 4815, 419, 5567, 374, 429, 730, 7268, 39, 646, 387, 1483, 311, 42780, 279, 2711, 369, 1493, 13530, 315, 26968, 13, 7281, 11, 279, 990, 315, 264, 9498, 11, 58989, 18266, 1265, 14907, 279, 32189, 315, 264, 58354, 429, 25963, 279, 536, 5944, 315, 279, 821, 7982, 11, 1496, 421, 24182, 504, 264, 12040, 2613, 25993, 315, 29829, 821, 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, 26343, 1506, 13600, 2719, 6222, 18723, 6531, 287, 369, 54638, 6222, 454, 77990, 4598, 75046, 1388, 2435, 36694, 271, 34764, 565, 13513, 8883, 198, 34253, 5452, 933, 75046, 1388, 58354, 374, 56680, 291, 553, 54480, 62974, 13, 1205, 29614, 264, 11514, 12859, 1380, 4734, 946, 73655, 6010, 21937, 374, 12575, 553, 279, 9582, 5311, 6010, 1948, 36603, 1506, 13600, 2719, 6222, 18723, 6531, 287, 320, 42, 7268, 39, 8, 50676, 2750, 13, 1096, 3059, 304, 264, 1714, 429, 47763, 42054, 34447, 882, 13, 22406, 11, 582, 1896, 9423, 315, 3654, 29829, 821, 3501, 4566, 6010, 18266, 6832, 311, 11075, 14680, 16052, 323, 19091, 382, 34764, 565, 13513, 55695, 198, 677, 8296, 287, 6, 364, 351, 75046, 1388, 6, 364, 64947, 1663, 62974, 6, 364, 38042, 301, 12859, 6, 364, 46385, 1248, 364, 19348, 21937, 6, 364, 19348, 6, 364, 10561, 927, 6, 364, 3661, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398 ]
399
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 26343, 1506, 13600, 2719, 6222, 18723, 6531, 287, 369, 54638, 6222, 454, 77990, 4598, 75046, 1388, 2435, 36694, 271, 34764, 565, 13513, 8883, 198, 34253, 5452, 933, 75046, 1388, 58354, 374, 56680, 291, 553, 54480, 62974, 13, 1205, 29614, 264, 11514, 12859, 1380, 4734, 946, 73655, 6010, 21937, 374, 12575, 553, 279, 9582, 5311, 6010, 1948, 36603, 1506, 13600, 2719, 6222, 18723, 6531, 287, 320, 42, 7268, 39, 8, 50676, 2750, 13, 1096, 3059, 304, 264, 1714, 429, 47763, 42054, 34447, 882, 13, 22406, 11, 582, 1896, 9423, 315, 3654, 29829, 821, 3501, 4566, 6010, 18266, 6832, 311, 11075, 14680, 16052, 323, 19091, 382, 34764, 565, 13513, 55695, 198, 677, 8296, 287, 6, 364, 351, 75046, 1388, 6, 364, 64947, 1663, 62974, 6, 364, 38042, 301, 12859, 6, 364, 46385, 1248, 364, 19348, 21937, 6, 364, 19348, 6, 364, 10561, 927, 6, 364, 3661, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 42, 7268, 39, 369, 18267, 58515, 77990, 933, 75046, 1388, 58354, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 1667, 10001, 1506, 68087, 56667, 72355, 320, 42, 7268, 39, 8, 448, 264, 9498, 37623, 18266, 311, 42780, 933, 75046, 1388, 58354, 11, 37078, 311, 8708, 536, 5944, 504, 29829, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 311, 990, 10001, 1506, 68087, 56667, 72355, 320, 42, 7268, 39, 701, 3118, 389, 264, 37623, 18266, 9498, 504, 29829, 821, 11, 311, 42780, 933, 75046, 1388, 320, 71, 98950, 8, 58354, 13, 4598, 75046, 1388, 58354, 7460, 11, 518, 1817, 19569, 11, 311, 1477, 279, 6716, 315, 18093, 26968, 13, 576, 4522, 4815, 419, 5567, 374, 429, 730, 7268, 39, 646, 387, 1483, 311, 42780, 279, 2711, 369, 1493, 13530, 315, 26968, 13, 7281, 11, 279, 990, 315, 264, 9498, 11, 58989, 18266, 1265, 14907, 279, 32189, 315, 264, 58354, 429, 25963, 279, 536, 5944, 315, 279, 821, 7982, 11, 1496, 421, 24182, 504, 264, 12040, 2613, 25993, 315, 29829, 821, 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 ]
[ 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, 26343, 1506, 13600, 2719, 6222, 18723, 6531, 287, 369, 54638, 6222, 454, 77990, 4598, 75046, 1388, 2435, 36694, 271, 34764, 565, 13513, 8883, 198, 34253, 5452, 933, 75046, 1388, 58354, 374, 56680, 291, 553, 54480, 62974, 13, 1205, 29614, 264, 11514, 12859, 1380, 4734, 946, 73655, 6010, 21937, 374, 12575, 553, 279, 9582, 5311, 6010, 1948, 36603, 1506, 13600, 2719, 6222, 18723, 6531, 287, 320, 42, 7268, 39, 8, 50676, 2750, 13, 1096, 3059, 304, 264, 1714, 429, 47763, 42054, 34447, 882, 13, 22406, 11, 582, 1896, 9423, 315, 3654, 29829, 821, 3501, 4566, 6010, 18266, 6832, 311, 11075, 14680, 16052, 323, 19091, 382, 34764, 565, 13513, 55695, 198, 677, 8296, 287, 6, 364, 351, 75046, 1388, 6, 364, 64947, 1663, 62974, 6, 364, 38042, 301, 12859, 6, 364, 46385, 1248, 364, 19348, 21937, 6, 364, 19348, 6, 364, 10561, 927, 6, 364, 3661, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 42, 7268, 39, 369, 18267, 58515, 77990, 933, 75046, 1388, 58354, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 1667, 10001, 1506, 68087, 56667, 72355, 320, 42, 7268, 39, 8, 448, 264, 9498, 37623, 18266, 311, 42780, 933, 75046, 1388, 58354, 11, 37078, 311, 8708, 536, 5944, 504, 29829, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 54625, 311, 990, 10001, 1506, 68087, 56667, 72355, 320, 42, 7268, 39, 701, 3118, 389, 264, 37623, 18266, 9498, 504, 29829, 821, 11, 311, 42780, 933, 75046, 1388, 320, 71, 98950, 8, 58354, 13, 4598, 75046, 1388, 58354, 7460, 11, 518, 1817, 19569, 11, 311, 1477, 279, 6716, 315, 18093, 26968, 13, 576, 4522, 4815, 419, 5567, 374, 429, 730, 7268, 39, 646, 387, 1483, 311, 42780, 279, 2711, 369, 1493, 13530, 315, 26968, 13, 7281, 11, 279, 990, 315, 264, 9498, 11, 58989, 18266, 1265, 14907, 279, 32189, 315, 264, 58354, 429, 25963, 279, 536, 5944, 315, 279, 821, 7982, 11, 1496, 421, 24182, 504, 264, 12040, 2613, 25993, 315, 29829, 821, 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
[ 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, 50, 21780, 58515, 77990, 444, 8590, 5980, 58354, 448, 6010, 18266, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 58354, 1714, 429, 32411, 18267, 58515, 77990, 6010, 18266, 6832, 448, 10001, 1506, 68087, 56667, 72355, 320, 7268, 39, 8, 369, 933, 75046, 1388, 58354, 13, 576, 5486, 21538, 311, 7269, 58354, 5068, 553, 6832, 264, 6010, 18266, 389, 264, 25993, 315, 821, 13530, 323, 76482, 444, 8590, 369, 1550, 32420, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 25073, 20503, 54625, 264, 1714, 369, 58354, 821, 892, 16790, 264, 18267, 58515, 77990, 6010, 18266, 311, 279, 821, 4867, 311, 18950, 10001, 1506, 68087, 56667, 72355, 369, 933, 75046, 1388, 58354, 13, 576, 56251, 374, 429, 6010, 6832, 389, 264, 25993, 315, 821, 13530, 686, 7269, 8084, 5068, 11, 323, 429, 279, 444, 8590, 5980, 58354, 686, 387, 264, 2664, 2432, 369, 1550, 1737, 18161, 821, 1091, 595, 33973, 596, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 26343, 1506, 13600, 2719, 6222, 18723, 6531, 287, 369, 54638, 6222, 454, 77990, 4598, 75046, 1388, 2435, 36694, 271, 34764, 565, 13513, 8883, 198, 34253, 5452, 933, 75046, 1388, 58354, 374, 56680, 291, 553, 54480, 62974, 13, 1205, 29614, 264, 11514, 12859, 1380, 4734, 946, 73655, 6010, 21937, 374, 12575, 553, 279, 9582, 5311, 6010, 1948, 36603, 1506, 13600, 2719, 6222, 18723, 6531, 287, 320, 42, 7268, 39, 8, 50676, 2750, 13, 1096, 3059, 304, 264, 1714, 429, 47763, 42054, 34447, 882, 13, 22406, 11, 582, 1896, 9423, 315, 3654, 29829, 821, 3501, 4566, 6010, 18266, 6832, 311, 11075, 14680, 16052, 323, 19091, 382, 34764, 565, 13513, 55695, 198, 677, 8296, 287, 6, 364, 351, 75046, 1388, 6, 364, 64947, 1663, 62974, 6, 364, 38042, 301, 12859, 6, 364, 46385, 1248, 364, 19348, 21937, 6, 364, 19348, 6, 364, 10561, 927, 6, 364, 3661, 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 ]
[ 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, 50, 21780, 58515, 77990, 444, 8590, 5980, 58354, 448, 6010, 18266, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 58354, 1714, 429, 32411, 18267, 58515, 77990, 6010, 18266, 6832, 448, 10001, 1506, 68087, 56667, 72355, 320, 7268, 39, 8, 369, 933, 75046, 1388, 58354, 13, 576, 5486, 21538, 311, 7269, 58354, 5068, 553, 6832, 264, 6010, 18266, 389, 264, 25993, 315, 821, 13530, 323, 76482, 444, 8590, 369, 1550, 32420, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 25073, 20503, 54625, 264, 1714, 369, 58354, 821, 892, 16790, 264, 18267, 58515, 77990, 6010, 18266, 311, 279, 821, 4867, 311, 18950, 10001, 1506, 68087, 56667, 72355, 369, 933, 75046, 1388, 58354, 13, 576, 56251, 374, 429, 6010, 6832, 389, 264, 25993, 315, 821, 13530, 686, 7269, 8084, 5068, 11, 323, 429, 279, 444, 8590, 5980, 58354, 686, 387, 264, 2664, 2432, 369, 1550, 1737, 18161, 821, 1091, 595, 33973, 596, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 26343, 1506, 13600, 2719, 6222, 18723, 6531, 287, 369, 54638, 6222, 454, 77990, 4598, 75046, 1388, 2435, 36694, 271, 34764, 565, 13513, 8883, 198, 34253, 5452, 933, 75046, 1388, 58354, 374, 56680, 291, 553, 54480, 62974, 13, 1205, 29614, 264, 11514, 12859, 1380, 4734, 946, 73655, 6010, 21937, 374, 12575, 553, 279, 9582, 5311, 6010, 1948, 36603, 1506, 13600, 2719, 6222, 18723, 6531, 287, 320, 42, 7268, 39, 8, 50676, 2750, 13, 1096, 3059, 304, 264, 1714, 429, 47763, 42054, 34447, 882, 13, 22406, 11, 582, 1896, 9423, 315, 3654, 29829, 821, 3501, 4566, 6010, 18266, 6832, 311, 11075, 14680, 16052, 323, 19091, 382, 34764, 565, 13513, 55695, 198, 677, 8296, 287, 6, 364, 351, 75046, 1388, 6, 364, 64947, 1663, 62974, 6, 364, 38042, 301, 12859, 6, 364, 46385, 1248, 364, 19348, 21937, 6, 364, 19348, 6, 364, 10561, 927, 6, 364, 3661, 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
[ 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, 26343, 1506, 13600, 2719, 6222, 18723, 6531, 287, 369, 54638, 6222, 454, 77990, 4598, 75046, 1388, 2435, 36694, 271, 34764, 565, 13513, 8883, 198, 34253, 5452, 933, 75046, 1388, 58354, 374, 56680, 291, 553, 54480, 62974, 13, 1205, 29614, 264, 11514, 12859, 1380, 4734, 946, 73655, 6010, 21937, 374, 12575, 553, 279, 9582, 5311, 6010, 1948, 36603, 1506, 13600, 2719, 6222, 18723, 6531, 287, 320, 42, 7268, 39, 8, 50676, 2750, 13, 1096, 3059, 304, 264, 1714, 429, 47763, 42054, 34447, 882, 13, 22406, 11, 582, 1896, 9423, 315, 3654, 29829, 821, 3501, 4566, 6010, 18266, 6832, 311, 11075, 14680, 16052, 323, 19091, 382, 34764, 565, 13513, 55695, 198, 677, 8296, 287, 6, 364, 351, 75046, 1388, 6, 364, 64947, 1663, 62974, 6, 364, 38042, 301, 12859, 6, 364, 46385, 1248, 364, 19348, 21937, 6, 364, 19348, 6, 364, 10561, 927, 6, 364, 3661, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 50, 21780, 58515, 77990, 444, 8590, 5980, 58354, 448, 6010, 18266, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 58354, 1714, 429, 32411, 18267, 58515, 77990, 6010, 18266, 6832, 448, 10001, 1506, 68087, 56667, 72355, 320, 7268, 39, 8, 369, 933, 75046, 1388, 58354, 13, 576, 5486, 21538, 311, 7269, 58354, 5068, 553, 6832, 264, 6010, 18266, 389, 264, 25993, 315, 821, 13530, 323, 76482, 444, 8590, 369, 1550, 32420, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 25073, 20503, 54625, 264, 1714, 369, 58354, 821, 892, 16790, 264, 18267, 58515, 77990, 6010, 18266, 311, 279, 821, 4867, 311, 18950, 10001, 1506, 68087, 56667, 72355, 369, 933, 75046, 1388, 58354, 13, 576, 56251, 374, 429, 6010, 6832, 389, 264, 25993, 315, 821, 13530, 686, 7269, 8084, 5068, 11, 323, 429, 279, 444, 8590, 5980, 58354, 686, 387, 264, 2664, 2432, 369, 1550, 1737, 18161, 821, 1091, 595, 33973, 596, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 26343, 1506, 13600, 2719, 6222, 18723, 6531, 287, 369, 54638, 6222, 454, 77990, 4598, 75046, 1388, 2435, 36694, 271, 34764, 565, 13513, 8883, 198, 34253, 5452, 933, 75046, 1388, 58354, 374, 56680, 291, 553, 54480, 62974, 13, 1205, 29614, 264, 11514, 12859, 1380, 4734, 946, 73655, 6010, 21937, 374, 12575, 553, 279, 9582, 5311, 6010, 1948, 36603, 1506, 13600, 2719, 6222, 18723, 6531, 287, 320, 42, 7268, 39, 8, 50676, 2750, 13, 1096, 3059, 304, 264, 1714, 429, 47763, 42054, 34447, 882, 13, 22406, 11, 582, 1896, 9423, 315, 3654, 29829, 821, 3501, 4566, 6010, 18266, 6832, 311, 11075, 14680, 16052, 323, 19091, 382, 34764, 565, 13513, 55695, 198, 677, 8296, 287, 6, 364, 351, 75046, 1388, 6, 364, 64947, 1663, 62974, 6, 364, 38042, 301, 12859, 6, 364, 46385, 1248, 364, 19348, 21937, 6, 364, 19348, 6, 364, 10561, 927, 6, 364, 3661, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 50, 21780, 58515, 77990, 444, 8590, 5980, 58354, 448, 6010, 18266, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 58354, 1714, 429, 32411, 18267, 58515, 77990, 6010, 18266, 6832, 448, 10001, 1506, 68087, 56667, 72355, 320, 7268, 39, 8, 369, 933, 75046, 1388, 58354, 13, 576, 5486, 21538, 311, 7269, 58354, 5068, 553, 6832, 264, 6010, 18266, 389, 264, 25993, 315, 821, 13530, 323, 76482, 444, 8590, 369, 1550, 32420, 821, 382, 34764, 565, 10294, 8883, 198, 1986, 25073, 20503, 54625, 264, 1714, 369, 58354, 821, 892, 16790, 264, 18267, 58515, 77990, 6010, 18266, 311, 279, 821, 4867, 311, 18950, 10001, 1506, 68087, 56667, 72355, 369, 933, 75046, 1388, 58354, 13, 576, 56251, 374, 429, 6010, 6832, 389, 264, 25993, 315, 821, 13530, 686, 7269, 8084, 5068, 11, 323, 429, 279, 444, 8590, 5980, 58354, 686, 387, 264, 2664, 2432, 369, 1550, 1737, 18161, 821, 1091, 595, 33973, 596, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375 ]
376
[ 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, 80795, 315, 26465, 37, 369, 2477, 5477, 367, 658, 821, 448, 8741, 20803, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 17030, 311, 279, 67948, 34687, 4194, 2070, 320, 52320, 37, 8, 1614, 311, 3705, 2477, 5477, 367, 658, 821, 553, 3259, 279, 32273, 304, 264, 3566, 275, 1614, 17749, 389, 23722, 13, 1084, 38919, 8741, 20803, 11, 3498, 862, 3633, 311, 279, 1614, 374, 24416, 382, 34764, 565, 10294, 8883, 198, 1986, 11577, 8115, 34334, 264, 17030, 311, 458, 6350, 67948, 34687, 4194, 2070, 1614, 320, 52320, 37, 8, 773, 438, 311, 4228, 2477, 5477, 367, 658, 821, 13, 1096, 374, 2814, 553, 3259, 279, 32273, 304, 264, 3566, 275, 1614, 6761, 389, 279, 23722, 320, 87, 8, 323, 32252, 311, 3059, 389, 63515, 5413, 369, 12617, 48300, 553, 444, 2649, 1344, 1842, 452, 13, 576, 12014, 1083, 19131, 1128, 807, 1618, 8741, 20803, 11, 714, 432, 374, 11997, 311, 3535, 11, 504, 419, 3270, 5239, 11, 1246, 1493, 28143, 311, 279, 1614, 13, 2308, 56251, 374, 3897, 2987, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 4152, 311, 24416, 15496, 323, 6853, 315, 56251, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 8660, 315, 279, 1887, 4522, 11, 714, 3565, 525, 24416, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 39, 1404, 436, 1998, 5064, 91973, 30037, 977, 10612, 24580, 369, 34467, 1333, 7968, 319, 262, 9403, 5465, 504, 74522, 11779, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 11514, 1714, 369, 16962, 6646, 20612, 41204, 504, 27800, 5335, 3118, 389, 279, 12626, 315, 10001, 91973, 30037, 977, 10612, 24580, 320, 42, 52320, 37, 568, 1205, 13036, 419, 12626, 311, 2692, 369, 29448, 436, 1998, 5064, 487, 389, 279, 2550, 9201, 320, 72, 1734, 2572, 6646, 20612, 12205, 8, 323, 19131, 264, 11514, 8741, 4565, 11, 8741, 20803, 11, 429, 32230, 35915, 67948, 16982, 389, 279, 1099, 20803, 320, 72, 1734, 2572, 20612, 12205, 568, 5633, 22000, 3059, 1473, 429, 279, 10981, 5486, 700, 712, 9807, 1584, 8668, 10603, 37821, 5413, 369, 8500, 23850, 448, 67948, 821, 323, 1008, 67948, 30549, 4119, 382, 34764, 565, 13513, 55695, 198, 677, 91624, 20612, 41204, 6, 364, 22185, 530, 5335, 6, 364, 3794, 1248, 364, 396, 7968, 12205, 6, 364, 38042, 301, 6, 364, 74, 6005, 69, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 80795, 315, 26465, 37, 369, 2477, 5477, 367, 658, 821, 448, 8741, 20803, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 17030, 311, 279, 67948, 34687, 4194, 2070, 320, 52320, 37, 8, 1614, 311, 3705, 2477, 5477, 367, 658, 821, 553, 3259, 279, 32273, 304, 264, 3566, 275, 1614, 17749, 389, 23722, 13, 1084, 38919, 8741, 20803, 11, 3498, 862, 3633, 311, 279, 1614, 374, 24416, 382, 34764, 565, 10294, 8883, 198, 1986, 11577, 8115, 34334, 264, 17030, 311, 458, 6350, 67948, 34687, 4194, 2070, 1614, 320, 52320, 37, 8, 773, 438, 311, 4228, 2477, 5477, 367, 658, 821, 13, 1096, 374, 2814, 553, 3259, 279, 32273, 304, 264, 3566, 275, 1614, 6761, 389, 279, 23722, 320, 87, 8, 323, 32252, 311, 3059, 389, 63515, 5413, 369, 12617, 48300, 553, 444, 2649, 1344, 1842, 452, 13, 576, 12014, 1083, 19131, 1128, 807, 1618, 8741, 20803, 11, 714, 432, 374, 11997, 311, 3535, 11, 504, 419, 3270, 5239, 11, 1246, 1493, 28143, 311, 279, 1614, 13, 2308, 56251, 374, 3897, 2987, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 4152, 311, 24416, 15496, 323, 6853, 315, 56251, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 8660, 315, 279, 1887, 4522, 11, 714, 3565, 525, 24416, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 39, 1404, 436, 1998, 5064, 91973, 30037, 977, 10612, 24580, 369, 34467, 1333, 7968, 319, 262, 9403, 5465, 504, 74522, 11779, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 11514, 1714, 369, 16962, 6646, 20612, 41204, 504, 27800, 5335, 3118, 389, 279, 12626, 315, 10001, 91973, 30037, 977, 10612, 24580, 320, 42, 52320, 37, 568, 1205, 13036, 419, 12626, 311, 2692, 369, 29448, 436, 1998, 5064, 487, 389, 279, 2550, 9201, 320, 72, 1734, 2572, 6646, 20612, 12205, 8, 323, 19131, 264, 11514, 8741, 4565, 11, 8741, 20803, 11, 429, 32230, 35915, 67948, 16982, 389, 279, 1099, 20803, 320, 72, 1734, 2572, 20612, 12205, 568, 5633, 22000, 3059, 1473, 429, 279, 10981, 5486, 700, 712, 9807, 1584, 8668, 10603, 37821, 5413, 369, 8500, 23850, 448, 67948, 821, 323, 1008, 67948, 30549, 4119, 382, 34764, 565, 13513, 55695, 198, 677, 91624, 20612, 41204, 6, 364, 22185, 530, 5335, 6, 364, 3794, 1248, 364, 396, 7968, 12205, 6, 364, 38042, 301, 6, 364, 74, 6005, 69, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434 ]
435
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 39, 1404, 436, 1998, 5064, 91973, 30037, 977, 10612, 24580, 369, 34467, 1333, 7968, 319, 262, 9403, 5465, 504, 74522, 11779, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 11514, 1714, 369, 16962, 6646, 20612, 41204, 504, 27800, 5335, 3118, 389, 279, 12626, 315, 10001, 91973, 30037, 977, 10612, 24580, 320, 42, 52320, 37, 568, 1205, 13036, 419, 12626, 311, 2692, 369, 29448, 436, 1998, 5064, 487, 389, 279, 2550, 9201, 320, 72, 1734, 2572, 6646, 20612, 12205, 8, 323, 19131, 264, 11514, 8741, 4565, 11, 8741, 20803, 11, 429, 32230, 35915, 67948, 16982, 389, 279, 1099, 20803, 320, 72, 1734, 2572, 20612, 12205, 568, 5633, 22000, 3059, 1473, 429, 279, 10981, 5486, 700, 712, 9807, 1584, 8668, 10603, 37821, 5413, 369, 8500, 23850, 448, 67948, 821, 323, 1008, 67948, 30549, 4119, 382, 34764, 565, 13513, 55695, 198, 677, 91624, 20612, 41204, 6, 364, 22185, 530, 5335, 6, 364, 3794, 1248, 364, 396, 7968, 12205, 6, 364, 38042, 301, 6, 364, 74, 6005, 69, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 80795, 315, 26465, 37, 369, 2477, 5477, 367, 658, 821, 448, 8741, 20803, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 17030, 311, 279, 67948, 34687, 4194, 2070, 320, 52320, 37, 8, 1614, 311, 3705, 2477, 5477, 367, 658, 821, 553, 3259, 279, 32273, 304, 264, 3566, 275, 1614, 17749, 389, 23722, 13, 1084, 38919, 8741, 20803, 11, 3498, 862, 3633, 311, 279, 1614, 374, 24416, 382, 34764, 565, 10294, 8883, 198, 1986, 11577, 8115, 34334, 264, 17030, 311, 458, 6350, 67948, 34687, 4194, 2070, 1614, 320, 52320, 37, 8, 773, 438, 311, 4228, 2477, 5477, 367, 658, 821, 13, 1096, 374, 2814, 553, 3259, 279, 32273, 304, 264, 3566, 275, 1614, 6761, 389, 279, 23722, 320, 87, 8, 323, 32252, 311, 3059, 389, 63515, 5413, 369, 12617, 48300, 553, 444, 2649, 1344, 1842, 452, 13, 576, 12014, 1083, 19131, 1128, 807, 1618, 8741, 20803, 11, 714, 432, 374, 11997, 311, 3535, 11, 504, 419, 3270, 5239, 11, 1246, 1493, 28143, 311, 279, 1614, 13, 2308, 56251, 374, 3897, 2987, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 4152, 311, 24416, 15496, 323, 6853, 315, 56251, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 8660, 315, 279, 1887, 4522, 11, 714, 3565, 525, 24416, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 39, 1404, 436, 1998, 5064, 91973, 30037, 977, 10612, 24580, 369, 34467, 1333, 7968, 319, 262, 9403, 5465, 504, 74522, 11779, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 11514, 1714, 369, 16962, 6646, 20612, 41204, 504, 27800, 5335, 3118, 389, 279, 12626, 315, 10001, 91973, 30037, 977, 10612, 24580, 320, 42, 52320, 37, 568, 1205, 13036, 419, 12626, 311, 2692, 369, 29448, 436, 1998, 5064, 487, 389, 279, 2550, 9201, 320, 72, 1734, 2572, 6646, 20612, 12205, 8, 323, 19131, 264, 11514, 8741, 4565, 11, 8741, 20803, 11, 429, 32230, 35915, 67948, 16982, 389, 279, 1099, 20803, 320, 72, 1734, 2572, 20612, 12205, 568, 5633, 22000, 3059, 1473, 429, 279, 10981, 5486, 700, 712, 9807, 1584, 8668, 10603, 37821, 5413, 369, 8500, 23850, 448, 67948, 821, 323, 1008, 67948, 30549, 4119, 382, 34764, 565, 13513, 55695, 198, 677, 91624, 20612, 41204, 6, 364, 22185, 530, 5335, 6, 364, 3794, 1248, 364, 396, 7968, 12205, 6, 364, 38042, 301, 6, 364, 74, 6005, 69, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 80795, 315, 26465, 37, 369, 2477, 5477, 367, 658, 821, 448, 8741, 20803, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 17030, 311, 279, 67948, 34687, 4194, 2070, 320, 52320, 37, 8, 1614, 311, 3705, 2477, 5477, 367, 658, 821, 553, 3259, 279, 32273, 304, 264, 3566, 275, 1614, 17749, 389, 23722, 13, 1084, 38919, 8741, 20803, 11, 3498, 862, 3633, 311, 279, 1614, 374, 24416, 382, 34764, 565, 10294, 8883, 198, 1986, 11577, 8115, 34334, 264, 17030, 311, 458, 6350, 67948, 34687, 4194, 2070, 1614, 320, 52320, 37, 8, 773, 438, 311, 4228, 2477, 5477, 367, 658, 821, 13, 1096, 374, 2814, 553, 3259, 279, 32273, 304, 264, 3566, 275, 1614, 6761, 389, 279, 23722, 320, 87, 8, 323, 32252, 311, 3059, 389, 63515, 5413, 369, 12617, 48300, 553, 444, 2649, 1344, 1842, 452, 13, 576, 12014, 1083, 19131, 1128, 807, 1618, 8741, 20803, 11, 714, 432, 374, 11997, 311, 3535, 11, 504, 419, 3270, 5239, 11, 1246, 1493, 28143, 311, 279, 1614, 13, 2308, 56251, 374, 3897, 2987, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 4152, 311, 24416, 15496, 323, 6853, 315, 56251, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 8660, 315, 279, 1887, 4522, 11, 714, 3565, 525, 24416, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433 ]
434
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 12617, 37, 5486, 369, 67948, 6646, 20612, 41204, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 22990, 315, 264, 34687, 4194, 2070, 320, 8973, 37, 8, 369, 76372, 67948, 9201, 315, 6646, 20612, 504, 27800, 6803, 11, 31918, 279, 7286, 315, 364, 21544, 20803, 4427, 4354, 11, 279, 16148, 315, 279, 6200, 4522, 323, 37052, 374, 24416, 323, 36756, 14016, 7716, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 25654, 311, 16045, 67948, 9201, 315, 6646, 20612, 504, 6803, 315, 12300, 13, 576, 5567, 34334, 264, 501, 22990, 315, 264, 34687, 4194, 2070, 304, 892, 279, 8947, 9201, 525, 67948, 2750, 13, 576, 5567, 594, 1887, 3717, 311, 66309, 374, 279, 4522, 315, 364, 21544, 20803, 516, 714, 432, 374, 24416, 1128, 1493, 525, 13, 1084, 374, 537, 7069, 8036, 3170, 458, 67948, 30549, 3491, 18154, 264, 12617, 37, 11, 1753, 2686, 264, 10001, 1506, 29448, 436, 1998, 5064, 12617, 37, 13, 576, 4522, 315, 364, 21544, 20803, 6, 374, 537, 11247, 11, 7797, 84670, 320, 17, 701, 892, 374, 5086, 30615, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 39, 1404, 436, 1998, 5064, 91973, 30037, 977, 10612, 24580, 369, 34467, 1333, 7968, 319, 262, 9403, 5465, 504, 74522, 11779, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 11514, 1714, 369, 16962, 6646, 20612, 41204, 504, 27800, 5335, 3118, 389, 279, 12626, 315, 10001, 91973, 30037, 977, 10612, 24580, 320, 42, 52320, 37, 568, 1205, 13036, 419, 12626, 311, 2692, 369, 29448, 436, 1998, 5064, 487, 389, 279, 2550, 9201, 320, 72, 1734, 2572, 6646, 20612, 12205, 8, 323, 19131, 264, 11514, 8741, 4565, 11, 8741, 20803, 11, 429, 32230, 35915, 67948, 16982, 389, 279, 1099, 20803, 320, 72, 1734, 2572, 20612, 12205, 568, 5633, 22000, 3059, 1473, 429, 279, 10981, 5486, 700, 712, 9807, 1584, 8668, 10603, 37821, 5413, 369, 8500, 23850, 448, 67948, 821, 323, 1008, 67948, 30549, 4119, 382, 34764, 565, 13513, 55695, 198, 677, 91624, 20612, 41204, 6, 364, 22185, 530, 5335, 6, 364, 3794, 1248, 364, 396, 7968, 12205, 6, 364, 38042, 301, 6, 364, 74, 6005, 69, 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, 18944, 301, 12617, 37, 5486, 369, 67948, 6646, 20612, 41204, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 22990, 315, 264, 34687, 4194, 2070, 320, 8973, 37, 8, 369, 76372, 67948, 9201, 315, 6646, 20612, 504, 27800, 6803, 11, 31918, 279, 7286, 315, 364, 21544, 20803, 4427, 4354, 11, 279, 16148, 315, 279, 6200, 4522, 323, 37052, 374, 24416, 323, 36756, 14016, 7716, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 25654, 311, 16045, 67948, 9201, 315, 6646, 20612, 504, 6803, 315, 12300, 13, 576, 5567, 34334, 264, 501, 22990, 315, 264, 34687, 4194, 2070, 304, 892, 279, 8947, 9201, 525, 67948, 2750, 13, 576, 5567, 594, 1887, 3717, 311, 66309, 374, 279, 4522, 315, 364, 21544, 20803, 516, 714, 432, 374, 24416, 1128, 1493, 525, 13, 1084, 374, 537, 7069, 8036, 3170, 458, 67948, 30549, 3491, 18154, 264, 12617, 37, 11, 1753, 2686, 264, 10001, 1506, 29448, 436, 1998, 5064, 12617, 37, 13, 576, 4522, 315, 364, 21544, 20803, 6, 374, 537, 11247, 11, 7797, 84670, 320, 17, 701, 892, 374, 5086, 30615, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 39, 1404, 436, 1998, 5064, 91973, 30037, 977, 10612, 24580, 369, 34467, 1333, 7968, 319, 262, 9403, 5465, 504, 74522, 11779, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 11514, 1714, 369, 16962, 6646, 20612, 41204, 504, 27800, 5335, 3118, 389, 279, 12626, 315, 10001, 91973, 30037, 977, 10612, 24580, 320, 42, 52320, 37, 568, 1205, 13036, 419, 12626, 311, 2692, 369, 29448, 436, 1998, 5064, 487, 389, 279, 2550, 9201, 320, 72, 1734, 2572, 6646, 20612, 12205, 8, 323, 19131, 264, 11514, 8741, 4565, 11, 8741, 20803, 11, 429, 32230, 35915, 67948, 16982, 389, 279, 1099, 20803, 320, 72, 1734, 2572, 20612, 12205, 568, 5633, 22000, 3059, 1473, 429, 279, 10981, 5486, 700, 712, 9807, 1584, 8668, 10603, 37821, 5413, 369, 8500, 23850, 448, 67948, 821, 323, 1008, 67948, 30549, 4119, 382, 34764, 565, 13513, 55695, 198, 677, 91624, 20612, 41204, 6, 364, 22185, 530, 5335, 6, 364, 3794, 1248, 364, 396, 7968, 12205, 6, 364, 38042, 301, 6, 364, 74, 6005, 69, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422 ]
423
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 39, 1404, 436, 1998, 5064, 91973, 30037, 977, 10612, 24580, 369, 34467, 1333, 7968, 319, 262, 9403, 5465, 504, 74522, 11779, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 11514, 1714, 369, 16962, 6646, 20612, 41204, 504, 27800, 5335, 3118, 389, 279, 12626, 315, 10001, 91973, 30037, 977, 10612, 24580, 320, 42, 52320, 37, 568, 1205, 13036, 419, 12626, 311, 2692, 369, 29448, 436, 1998, 5064, 487, 389, 279, 2550, 9201, 320, 72, 1734, 2572, 6646, 20612, 12205, 8, 323, 19131, 264, 11514, 8741, 4565, 11, 8741, 20803, 11, 429, 32230, 35915, 67948, 16982, 389, 279, 1099, 20803, 320, 72, 1734, 2572, 20612, 12205, 568, 5633, 22000, 3059, 1473, 429, 279, 10981, 5486, 700, 712, 9807, 1584, 8668, 10603, 37821, 5413, 369, 8500, 23850, 448, 67948, 821, 323, 1008, 67948, 30549, 4119, 382, 34764, 565, 13513, 55695, 198, 677, 91624, 20612, 41204, 6, 364, 22185, 530, 5335, 6, 364, 3794, 1248, 364, 396, 7968, 12205, 6, 364, 38042, 301, 6, 364, 74, 6005, 69, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 12617, 37, 5486, 369, 67948, 6646, 20612, 41204, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 22990, 315, 264, 34687, 4194, 2070, 320, 8973, 37, 8, 369, 76372, 67948, 9201, 315, 6646, 20612, 504, 27800, 6803, 11, 31918, 279, 7286, 315, 364, 21544, 20803, 4427, 4354, 11, 279, 16148, 315, 279, 6200, 4522, 323, 37052, 374, 24416, 323, 36756, 14016, 7716, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 25654, 311, 16045, 67948, 9201, 315, 6646, 20612, 504, 6803, 315, 12300, 13, 576, 5567, 34334, 264, 501, 22990, 315, 264, 34687, 4194, 2070, 304, 892, 279, 8947, 9201, 525, 67948, 2750, 13, 576, 5567, 594, 1887, 3717, 311, 66309, 374, 279, 4522, 315, 364, 21544, 20803, 516, 714, 432, 374, 24416, 1128, 1493, 525, 13, 1084, 374, 537, 7069, 8036, 3170, 458, 67948, 30549, 3491, 18154, 264, 12617, 37, 11, 1753, 2686, 264, 10001, 1506, 29448, 436, 1998, 5064, 12617, 37, 13, 576, 4522, 315, 364, 21544, 20803, 6, 374, 537, 11247, 11, 7797, 84670, 320, 17, 701, 892, 374, 5086, 30615, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 39, 1404, 436, 1998, 5064, 91973, 30037, 977, 10612, 24580, 369, 34467, 1333, 7968, 319, 262, 9403, 5465, 504, 74522, 11779, 271, 34764, 565, 13513, 8883, 198, 1654, 29614, 264, 11514, 1714, 369, 16962, 6646, 20612, 41204, 504, 27800, 5335, 3118, 389, 279, 12626, 315, 10001, 91973, 30037, 977, 10612, 24580, 320, 42, 52320, 37, 568, 1205, 13036, 419, 12626, 311, 2692, 369, 29448, 436, 1998, 5064, 487, 389, 279, 2550, 9201, 320, 72, 1734, 2572, 6646, 20612, 12205, 8, 323, 19131, 264, 11514, 8741, 4565, 11, 8741, 20803, 11, 429, 32230, 35915, 67948, 16982, 389, 279, 1099, 20803, 320, 72, 1734, 2572, 20612, 12205, 568, 5633, 22000, 3059, 1473, 429, 279, 10981, 5486, 700, 712, 9807, 1584, 8668, 10603, 37821, 5413, 369, 8500, 23850, 448, 67948, 821, 323, 1008, 67948, 30549, 4119, 382, 34764, 565, 13513, 55695, 198, 677, 91624, 20612, 41204, 6, 364, 22185, 530, 5335, 6, 364, 3794, 1248, 364, 396, 7968, 12205, 6, 364, 38042, 301, 6, 364, 74, 6005, 69, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 12617, 37, 5486, 369, 67948, 6646, 20612, 41204, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 501, 22990, 315, 264, 34687, 4194, 2070, 320, 8973, 37, 8, 369, 76372, 67948, 9201, 315, 6646, 20612, 504, 27800, 6803, 11, 31918, 279, 7286, 315, 364, 21544, 20803, 4427, 4354, 11, 279, 16148, 315, 279, 6200, 4522, 323, 37052, 374, 24416, 323, 36756, 14016, 7716, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 25654, 311, 16045, 67948, 9201, 315, 6646, 20612, 504, 6803, 315, 12300, 13, 576, 5567, 34334, 264, 501, 22990, 315, 264, 34687, 4194, 2070, 304, 892, 279, 8947, 9201, 525, 67948, 2750, 13, 576, 5567, 594, 1887, 3717, 311, 66309, 374, 279, 4522, 315, 364, 21544, 20803, 516, 714, 432, 374, 24416, 1128, 1493, 525, 13, 1084, 374, 537, 7069, 8036, 3170, 458, 67948, 30549, 3491, 18154, 264, 12617, 37, 11, 1753, 2686, 264, 10001, 1506, 29448, 436, 1998, 5064, 12617, 37, 13, 576, 4522, 315, 364, 21544, 20803, 6, 374, 537, 11247, 11, 7797, 84670, 320, 17, 701, 892, 374, 5086, 30615, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421 ]
422
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 88939, 5486, 369, 49319, 517, 39088, 315, 2168, 47517, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 49319, 517, 6358, 315, 2168, 47517, 553, 44373, 29829, 2168, 29425, 1119, 3040, 11059, 320, 50195, 11, 22060, 11, 1964, 11, 11551, 8, 323, 87178, 279, 11341, 315, 26552, 1948, 39715, 323, 9760, 13530, 304, 264, 4722, 32420, 27348, 3550, 13, 576, 1887, 18527, 374, 279, 4911, 88939, 315, 1493, 40467, 7707, 311, 4867, 975, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 21538, 311, 3042, 264, 1714, 369, 49319, 517, 6358, 369, 2168, 47517, 13, 576, 54886, 40467, 264, 2661, 10337, 315, 29829, 5335, 1119, 220, 19, 11059, 11, 87416, 38151, 81, 97573, 323, 30394, 12318, 277, 13530, 320, 50195, 11, 17612, 11, 687, 11, 2773, 568, 576, 1590, 1352, 315, 279, 16538, 21538, 311, 34508, 279, 11341, 315, 2629, 315, 26552, 315, 39715, 13530, 17779, 553, 9760, 13530, 13, 576, 6010, 18266, 374, 16588, 518, 279, 4722, 55887, 27348, 3550, 13, 576, 1887, 18527, 315, 419, 975, 438, 11827, 304, 279, 5567, 374, 26301, 279, 88939, 315, 220, 19, 40467, 21303, 504, 3681, 975, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 4193, 11, 7040, 4522, 714, 36756, 3746, 41435, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 8660, 315, 279, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 30404, 1506, 77300, 85296, 37068, 6968, 369, 20185, 55692, 20909, 271, 34764, 565, 13513, 8883, 198, 14228, 646, 13289, 4092, 311, 4344, 304, 58385, 11, 10935, 11, 11980, 11, 323, 75952, 13, 758, 419, 5567, 11, 582, 9213, 311, 3960, 43613, 369, 458, 2168, 11, 892, 525, 21765, 311, 6884, 4344, 304, 1741, 12158, 4682, 11, 1667, 4862, 13530, 315, 12579, 323, 2477, 1448, 31924, 2205, 2168, 28660, 429, 525, 14548, 1212, 5257, 12158, 4682, 13, 1205, 3042, 264, 5792, 1506, 49319, 517, 6358, 429, 65059, 1378, 17003, 11059, 4221, 279, 2661, 4862, 13530, 25, 320, 16, 8, 12579, 11, 714, 3041, 10747, 13530, 323, 320, 17, 8, 2477, 1448, 31924, 11, 714, 3265, 13530, 304, 279, 4024, 4565, 3550, 320, 68, 1302, 2572, 328, 14292, 4565, 3550, 568, 58713, 311, 6350, 975, 389, 18266, 6832, 323, 49319, 517, 6358, 11, 1039, 1714, 646, 2664, 32037, 9760, 5335, 504, 39715, 11, 714, 1401, 18779, 2970, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 77256, 6, 364, 16822, 6283, 85296, 6, 364, 29218, 16414, 6, 364, 3642, 6, 364, 19365, 6, 364, 1050, 2768, 1248, 364, 55756, 6, 364, 52218, 6, 364, 76565, 2554, 6, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 88939, 5486, 369, 49319, 517, 39088, 315, 2168, 47517, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 49319, 517, 6358, 315, 2168, 47517, 553, 44373, 29829, 2168, 29425, 1119, 3040, 11059, 320, 50195, 11, 22060, 11, 1964, 11, 11551, 8, 323, 87178, 279, 11341, 315, 26552, 1948, 39715, 323, 9760, 13530, 304, 264, 4722, 32420, 27348, 3550, 13, 576, 1887, 18527, 374, 279, 4911, 88939, 315, 1493, 40467, 7707, 311, 4867, 975, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 21538, 311, 3042, 264, 1714, 369, 49319, 517, 6358, 369, 2168, 47517, 13, 576, 54886, 40467, 264, 2661, 10337, 315, 29829, 5335, 1119, 220, 19, 11059, 11, 87416, 38151, 81, 97573, 323, 30394, 12318, 277, 13530, 320, 50195, 11, 17612, 11, 687, 11, 2773, 568, 576, 1590, 1352, 315, 279, 16538, 21538, 311, 34508, 279, 11341, 315, 2629, 315, 26552, 315, 39715, 13530, 17779, 553, 9760, 13530, 13, 576, 6010, 18266, 374, 16588, 518, 279, 4722, 55887, 27348, 3550, 13, 576, 1887, 18527, 315, 419, 975, 438, 11827, 304, 279, 5567, 374, 26301, 279, 88939, 315, 220, 19, 40467, 21303, 504, 3681, 975, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 4193, 11, 7040, 4522, 714, 36756, 3746, 41435, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 8660, 315, 279, 1887, 4522, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 30404, 1506, 77300, 85296, 37068, 6968, 369, 20185, 55692, 20909, 271, 34764, 565, 13513, 8883, 198, 14228, 646, 13289, 4092, 311, 4344, 304, 58385, 11, 10935, 11, 11980, 11, 323, 75952, 13, 758, 419, 5567, 11, 582, 9213, 311, 3960, 43613, 369, 458, 2168, 11, 892, 525, 21765, 311, 6884, 4344, 304, 1741, 12158, 4682, 11, 1667, 4862, 13530, 315, 12579, 323, 2477, 1448, 31924, 2205, 2168, 28660, 429, 525, 14548, 1212, 5257, 12158, 4682, 13, 1205, 3042, 264, 5792, 1506, 49319, 517, 6358, 429, 65059, 1378, 17003, 11059, 4221, 279, 2661, 4862, 13530, 25, 320, 16, 8, 12579, 11, 714, 3041, 10747, 13530, 323, 320, 17, 8, 2477, 1448, 31924, 11, 714, 3265, 13530, 304, 279, 4024, 4565, 3550, 320, 68, 1302, 2572, 328, 14292, 4565, 3550, 568, 58713, 311, 6350, 975, 389, 18266, 6832, 323, 49319, 517, 6358, 11, 1039, 1714, 646, 2664, 32037, 9760, 5335, 504, 39715, 11, 714, 1401, 18779, 2970, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 77256, 6, 364, 16822, 6283, 85296, 6, 364, 29218, 16414, 6, 364, 3642, 6, 364, 19365, 6, 364, 1050, 2768, 1248, 364, 55756, 6, 364, 52218, 6, 364, 76565, 2554, 6, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478 ]
479
[ 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, 30404, 1506, 77300, 85296, 37068, 6968, 369, 20185, 55692, 20909, 271, 34764, 565, 13513, 8883, 198, 14228, 646, 13289, 4092, 311, 4344, 304, 58385, 11, 10935, 11, 11980, 11, 323, 75952, 13, 758, 419, 5567, 11, 582, 9213, 311, 3960, 43613, 369, 458, 2168, 11, 892, 525, 21765, 311, 6884, 4344, 304, 1741, 12158, 4682, 11, 1667, 4862, 13530, 315, 12579, 323, 2477, 1448, 31924, 2205, 2168, 28660, 429, 525, 14548, 1212, 5257, 12158, 4682, 13, 1205, 3042, 264, 5792, 1506, 49319, 517, 6358, 429, 65059, 1378, 17003, 11059, 4221, 279, 2661, 4862, 13530, 25, 320, 16, 8, 12579, 11, 714, 3041, 10747, 13530, 323, 320, 17, 8, 2477, 1448, 31924, 11, 714, 3265, 13530, 304, 279, 4024, 4565, 3550, 320, 68, 1302, 2572, 328, 14292, 4565, 3550, 568, 58713, 311, 6350, 975, 389, 18266, 6832, 323, 49319, 517, 6358, 11, 1039, 1714, 646, 2664, 32037, 9760, 5335, 504, 39715, 11, 714, 1401, 18779, 2970, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 77256, 6, 364, 16822, 6283, 85296, 6, 364, 29218, 16414, 6, 364, 3642, 6, 364, 19365, 6, 364, 1050, 2768, 1248, 364, 55756, 6, 364, 52218, 6, 364, 76565, 2554, 6, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 88939, 5486, 369, 49319, 517, 39088, 315, 2168, 47517, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 49319, 517, 6358, 315, 2168, 47517, 553, 44373, 29829, 2168, 29425, 1119, 3040, 11059, 320, 50195, 11, 22060, 11, 1964, 11, 11551, 8, 323, 87178, 279, 11341, 315, 26552, 1948, 39715, 323, 9760, 13530, 304, 264, 4722, 32420, 27348, 3550, 13, 576, 1887, 18527, 374, 279, 4911, 88939, 315, 1493, 40467, 7707, 311, 4867, 975, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 21538, 311, 3042, 264, 1714, 369, 49319, 517, 6358, 369, 2168, 47517, 13, 576, 54886, 40467, 264, 2661, 10337, 315, 29829, 5335, 1119, 220, 19, 11059, 11, 87416, 38151, 81, 97573, 323, 30394, 12318, 277, 13530, 320, 50195, 11, 17612, 11, 687, 11, 2773, 568, 576, 1590, 1352, 315, 279, 16538, 21538, 311, 34508, 279, 11341, 315, 2629, 315, 26552, 315, 39715, 13530, 17779, 553, 9760, 13530, 13, 576, 6010, 18266, 374, 16588, 518, 279, 4722, 55887, 27348, 3550, 13, 576, 1887, 18527, 315, 419, 975, 438, 11827, 304, 279, 5567, 374, 26301, 279, 88939, 315, 220, 19, 40467, 21303, 504, 3681, 975, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 4193, 11, 7040, 4522, 714, 36756, 3746, 41435, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 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 ]
[ 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, 30404, 1506, 77300, 85296, 37068, 6968, 369, 20185, 55692, 20909, 271, 34764, 565, 13513, 8883, 198, 14228, 646, 13289, 4092, 311, 4344, 304, 58385, 11, 10935, 11, 11980, 11, 323, 75952, 13, 758, 419, 5567, 11, 582, 9213, 311, 3960, 43613, 369, 458, 2168, 11, 892, 525, 21765, 311, 6884, 4344, 304, 1741, 12158, 4682, 11, 1667, 4862, 13530, 315, 12579, 323, 2477, 1448, 31924, 2205, 2168, 28660, 429, 525, 14548, 1212, 5257, 12158, 4682, 13, 1205, 3042, 264, 5792, 1506, 49319, 517, 6358, 429, 65059, 1378, 17003, 11059, 4221, 279, 2661, 4862, 13530, 25, 320, 16, 8, 12579, 11, 714, 3041, 10747, 13530, 323, 320, 17, 8, 2477, 1448, 31924, 11, 714, 3265, 13530, 304, 279, 4024, 4565, 3550, 320, 68, 1302, 2572, 328, 14292, 4565, 3550, 568, 58713, 311, 6350, 975, 389, 18266, 6832, 323, 49319, 517, 6358, 11, 1039, 1714, 646, 2664, 32037, 9760, 5335, 504, 39715, 11, 714, 1401, 18779, 2970, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 77256, 6, 364, 16822, 6283, 85296, 6, 364, 29218, 16414, 6, 364, 3642, 6, 364, 19365, 6, 364, 1050, 2768, 1248, 364, 55756, 6, 364, 52218, 6, 364, 76565, 2554, 6, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 18944, 301, 88939, 5486, 369, 49319, 517, 39088, 315, 2168, 47517, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 49319, 517, 6358, 315, 2168, 47517, 553, 44373, 29829, 2168, 29425, 1119, 3040, 11059, 320, 50195, 11, 22060, 11, 1964, 11, 11551, 8, 323, 87178, 279, 11341, 315, 26552, 1948, 39715, 323, 9760, 13530, 304, 264, 4722, 32420, 27348, 3550, 13, 576, 1887, 18527, 374, 279, 4911, 88939, 315, 1493, 40467, 7707, 311, 4867, 975, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 21538, 311, 3042, 264, 1714, 369, 49319, 517, 6358, 369, 2168, 47517, 13, 576, 54886, 40467, 264, 2661, 10337, 315, 29829, 5335, 1119, 220, 19, 11059, 11, 87416, 38151, 81, 97573, 323, 30394, 12318, 277, 13530, 320, 50195, 11, 17612, 11, 687, 11, 2773, 568, 576, 1590, 1352, 315, 279, 16538, 21538, 311, 34508, 279, 11341, 315, 2629, 315, 26552, 315, 39715, 13530, 17779, 553, 9760, 13530, 13, 576, 6010, 18266, 374, 16588, 518, 279, 4722, 55887, 27348, 3550, 13, 576, 1887, 18527, 315, 419, 975, 438, 11827, 304, 279, 5567, 374, 26301, 279, 88939, 315, 220, 19, 40467, 21303, 504, 3681, 975, 382, 34764, 565, 10294, 19216, 198, 19, 25, 7469, 4193, 11, 7040, 4522, 714, 36756, 3746, 41435, 271, 34764, 565, 10294, 86324, 198, 19, 25, 358, 1079, 16506, 304, 847, 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
[ 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, 30404, 1506, 13482, 21615, 369, 9124, 16414, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 6832, 9124, 4565, 47517, 57620, 311, 75952, 11, 58385, 11, 323, 2168, 4271, 13, 1084, 5711, 264, 5792, 1506, 13482, 21615, 315, 328, 14292, 4565, 47517, 11, 73042, 264, 36824, 37623, 6629, 13, 576, 66309, 15448, 304, 49247, 88939, 315, 821, 10469, 3118, 389, 41733, 323, 21963, 50078, 6010, 65849, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 16555, 264, 1714, 369, 6832, 9124, 4565, 47517, 429, 525, 57620, 311, 4344, 304, 75952, 11, 58385, 11, 323, 2168, 4271, 13, 576, 1714, 57203, 264, 5792, 1506, 13482, 21615, 315, 328, 14292, 4565, 47517, 311, 29436, 264, 36824, 37623, 6629, 13, 576, 6028, 18527, 315, 419, 25073, 20503, 374, 311, 19869, 429, 264, 49247, 88939, 315, 279, 821, 10469, 4092, 311, 279, 65849, 1948, 862, 41733, 6010, 323, 862, 21963, 50078, 6010, 304, 328, 14292, 16414, 3550, 13, 576, 12014, 5244, 389, 279, 88939, 315, 279, 6077, 13530, 311, 45932, 2176, 279, 18241, 60843, 4428, 13530, 323, 279, 18093, 13772, 78862, 13530, 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, 30404, 1506, 77300, 85296, 37068, 6968, 369, 20185, 55692, 20909, 271, 34764, 565, 13513, 8883, 198, 14228, 646, 13289, 4092, 311, 4344, 304, 58385, 11, 10935, 11, 11980, 11, 323, 75952, 13, 758, 419, 5567, 11, 582, 9213, 311, 3960, 43613, 369, 458, 2168, 11, 892, 525, 21765, 311, 6884, 4344, 304, 1741, 12158, 4682, 11, 1667, 4862, 13530, 315, 12579, 323, 2477, 1448, 31924, 2205, 2168, 28660, 429, 525, 14548, 1212, 5257, 12158, 4682, 13, 1205, 3042, 264, 5792, 1506, 49319, 517, 6358, 429, 65059, 1378, 17003, 11059, 4221, 279, 2661, 4862, 13530, 25, 320, 16, 8, 12579, 11, 714, 3041, 10747, 13530, 323, 320, 17, 8, 2477, 1448, 31924, 11, 714, 3265, 13530, 304, 279, 4024, 4565, 3550, 320, 68, 1302, 2572, 328, 14292, 4565, 3550, 568, 58713, 311, 6350, 975, 389, 18266, 6832, 323, 49319, 517, 6358, 11, 1039, 1714, 646, 2664, 32037, 9760, 5335, 504, 39715, 11, 714, 1401, 18779, 2970, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 77256, 6, 364, 16822, 6283, 85296, 6, 364, 29218, 16414, 6, 364, 3642, 6, 364, 19365, 6, 364, 1050, 2768, 1248, 364, 55756, 6, 364, 52218, 6, 364, 76565, 2554, 6, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 30404, 1506, 13482, 21615, 369, 9124, 16414, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 6832, 9124, 4565, 47517, 57620, 311, 75952, 11, 58385, 11, 323, 2168, 4271, 13, 1084, 5711, 264, 5792, 1506, 13482, 21615, 315, 328, 14292, 4565, 47517, 11, 73042, 264, 36824, 37623, 6629, 13, 576, 66309, 15448, 304, 49247, 88939, 315, 821, 10469, 3118, 389, 41733, 323, 21963, 50078, 6010, 65849, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 16555, 264, 1714, 369, 6832, 9124, 4565, 47517, 429, 525, 57620, 311, 4344, 304, 75952, 11, 58385, 11, 323, 2168, 4271, 13, 576, 1714, 57203, 264, 5792, 1506, 13482, 21615, 315, 328, 14292, 4565, 47517, 311, 29436, 264, 36824, 37623, 6629, 13, 576, 6028, 18527, 315, 419, 25073, 20503, 374, 311, 19869, 429, 264, 49247, 88939, 315, 279, 821, 10469, 4092, 311, 279, 65849, 1948, 862, 41733, 6010, 323, 862, 21963, 50078, 6010, 304, 328, 14292, 16414, 3550, 13, 576, 12014, 5244, 389, 279, 88939, 315, 279, 6077, 13530, 311, 45932, 2176, 279, 18241, 60843, 4428, 13530, 323, 279, 18093, 13772, 78862, 13530, 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, 30404, 1506, 77300, 85296, 37068, 6968, 369, 20185, 55692, 20909, 271, 34764, 565, 13513, 8883, 198, 14228, 646, 13289, 4092, 311, 4344, 304, 58385, 11, 10935, 11, 11980, 11, 323, 75952, 13, 758, 419, 5567, 11, 582, 9213, 311, 3960, 43613, 369, 458, 2168, 11, 892, 525, 21765, 311, 6884, 4344, 304, 1741, 12158, 4682, 11, 1667, 4862, 13530, 315, 12579, 323, 2477, 1448, 31924, 2205, 2168, 28660, 429, 525, 14548, 1212, 5257, 12158, 4682, 13, 1205, 3042, 264, 5792, 1506, 49319, 517, 6358, 429, 65059, 1378, 17003, 11059, 4221, 279, 2661, 4862, 13530, 25, 320, 16, 8, 12579, 11, 714, 3041, 10747, 13530, 323, 320, 17, 8, 2477, 1448, 31924, 11, 714, 3265, 13530, 304, 279, 4024, 4565, 3550, 320, 68, 1302, 2572, 328, 14292, 4565, 3550, 568, 58713, 311, 6350, 975, 389, 18266, 6832, 323, 49319, 517, 6358, 11, 1039, 1714, 646, 2664, 32037, 9760, 5335, 504, 39715, 11, 714, 1401, 18779, 2970, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 77256, 6, 364, 16822, 6283, 85296, 6, 364, 29218, 16414, 6, 364, 3642, 6, 364, 19365, 6, 364, 1050, 2768, 1248, 364, 55756, 6, 364, 52218, 6, 364, 76565, 2554, 6, 364, 35269, 804, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460 ]
461
[ 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, 30404, 1506, 77300, 85296, 37068, 6968, 369, 20185, 55692, 20909, 271, 34764, 565, 13513, 8883, 198, 14228, 646, 13289, 4092, 311, 4344, 304, 58385, 11, 10935, 11, 11980, 11, 323, 75952, 13, 758, 419, 5567, 11, 582, 9213, 311, 3960, 43613, 369, 458, 2168, 11, 892, 525, 21765, 311, 6884, 4344, 304, 1741, 12158, 4682, 11, 1667, 4862, 13530, 315, 12579, 323, 2477, 1448, 31924, 2205, 2168, 28660, 429, 525, 14548, 1212, 5257, 12158, 4682, 13, 1205, 3042, 264, 5792, 1506, 49319, 517, 6358, 429, 65059, 1378, 17003, 11059, 4221, 279, 2661, 4862, 13530, 25, 320, 16, 8, 12579, 11, 714, 3041, 10747, 13530, 323, 320, 17, 8, 2477, 1448, 31924, 11, 714, 3265, 13530, 304, 279, 4024, 4565, 3550, 320, 68, 1302, 2572, 328, 14292, 4565, 3550, 568, 58713, 311, 6350, 975, 389, 18266, 6832, 323, 49319, 517, 6358, 11, 1039, 1714, 646, 2664, 32037, 9760, 5335, 504, 39715, 11, 714, 1401, 18779, 2970, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 77256, 6, 364, 16822, 6283, 85296, 6, 364, 29218, 16414, 6, 364, 3642, 6, 364, 19365, 6, 364, 1050, 2768, 1248, 364, 55756, 6, 364, 52218, 6, 364, 76565, 2554, 6, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 30404, 1506, 13482, 21615, 369, 9124, 16414, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 6832, 9124, 4565, 47517, 57620, 311, 75952, 11, 58385, 11, 323, 2168, 4271, 13, 1084, 5711, 264, 5792, 1506, 13482, 21615, 315, 328, 14292, 4565, 47517, 11, 73042, 264, 36824, 37623, 6629, 13, 576, 66309, 15448, 304, 49247, 88939, 315, 821, 10469, 3118, 389, 41733, 323, 21963, 50078, 6010, 65849, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 16555, 264, 1714, 369, 6832, 9124, 4565, 47517, 429, 525, 57620, 311, 4344, 304, 75952, 11, 58385, 11, 323, 2168, 4271, 13, 576, 1714, 57203, 264, 5792, 1506, 13482, 21615, 315, 328, 14292, 4565, 47517, 311, 29436, 264, 36824, 37623, 6629, 13, 576, 6028, 18527, 315, 419, 25073, 20503, 374, 311, 19869, 429, 264, 49247, 88939, 315, 279, 821, 10469, 4092, 311, 279, 65849, 1948, 862, 41733, 6010, 323, 862, 21963, 50078, 6010, 304, 328, 14292, 16414, 3550, 13, 576, 12014, 5244, 389, 279, 88939, 315, 279, 6077, 13530, 311, 45932, 2176, 279, 18241, 60843, 4428, 13530, 323, 279, 18093, 13772, 78862, 13530, 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 ]
[ 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, 30404, 1506, 77300, 85296, 37068, 6968, 369, 20185, 55692, 20909, 271, 34764, 565, 13513, 8883, 198, 14228, 646, 13289, 4092, 311, 4344, 304, 58385, 11, 10935, 11, 11980, 11, 323, 75952, 13, 758, 419, 5567, 11, 582, 9213, 311, 3960, 43613, 369, 458, 2168, 11, 892, 525, 21765, 311, 6884, 4344, 304, 1741, 12158, 4682, 11, 1667, 4862, 13530, 315, 12579, 323, 2477, 1448, 31924, 2205, 2168, 28660, 429, 525, 14548, 1212, 5257, 12158, 4682, 13, 1205, 3042, 264, 5792, 1506, 49319, 517, 6358, 429, 65059, 1378, 17003, 11059, 4221, 279, 2661, 4862, 13530, 25, 320, 16, 8, 12579, 11, 714, 3041, 10747, 13530, 323, 320, 17, 8, 2477, 1448, 31924, 11, 714, 3265, 13530, 304, 279, 4024, 4565, 3550, 320, 68, 1302, 2572, 328, 14292, 4565, 3550, 568, 58713, 311, 6350, 975, 389, 18266, 6832, 323, 49319, 517, 6358, 11, 1039, 1714, 646, 2664, 32037, 9760, 5335, 504, 39715, 11, 714, 1401, 18779, 2970, 5335, 382, 34764, 565, 13513, 55695, 198, 677, 77256, 6, 364, 16822, 6283, 85296, 6, 364, 29218, 16414, 6, 364, 3642, 6, 364, 19365, 6, 364, 1050, 2768, 1248, 364, 55756, 6, 364, 52218, 6, 364, 76565, 2554, 6, 364, 35269, 804, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 30404, 1506, 13482, 21615, 369, 9124, 16414, 6832, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 369, 6832, 9124, 4565, 47517, 57620, 311, 75952, 11, 58385, 11, 323, 2168, 4271, 13, 1084, 5711, 264, 5792, 1506, 13482, 21615, 315, 328, 14292, 4565, 47517, 11, 73042, 264, 36824, 37623, 6629, 13, 576, 66309, 15448, 304, 49247, 88939, 315, 821, 10469, 3118, 389, 41733, 323, 21963, 50078, 6010, 65849, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 16555, 264, 1714, 369, 6832, 9124, 4565, 47517, 429, 525, 57620, 311, 4344, 304, 75952, 11, 58385, 11, 323, 2168, 4271, 13, 576, 1714, 57203, 264, 5792, 1506, 13482, 21615, 315, 328, 14292, 4565, 47517, 311, 29436, 264, 36824, 37623, 6629, 13, 576, 6028, 18527, 315, 419, 25073, 20503, 374, 311, 19869, 429, 264, 49247, 88939, 315, 279, 821, 10469, 4092, 311, 279, 65849, 1948, 862, 41733, 6010, 323, 862, 21963, 50078, 6010, 304, 328, 14292, 16414, 3550, 13, 576, 12014, 5244, 389, 279, 88939, 315, 279, 6077, 13530, 311, 45932, 2176, 279, 18241, 60843, 4428, 13530, 323, 279, 18093, 13772, 78862, 13530, 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
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 98637, 311, 8552, 3409, 13042, 4271, 369, 8848, 4244, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 13230, 7842, 458, 9342, 311, 15442, 279, 4271, 315, 3409, 43613, 369, 2686, 4185, 4244, 11, 892, 374, 2989, 369, 9079, 1075, 25975, 6358, 382, 34764, 565, 10294, 8883, 198, 1925, 279, 8544, 315, 26297, 3409, 43613, 11, 4271, 438, 264, 729, 315, 3409, 11639, 374, 2494, 358, 3003, 3545, 1730, 311, 387, 264, 3491, 13, 1752, 3110, 11, 8848, 4244, 525, 3545, 2989, 369, 25975, 6358, 11, 714, 1657, 3409, 13042, 52143, 8193, 7852, 43613, 369, 678, 714, 279, 1909, 220, 16, 15, 15, 15, 476, 773, 1429, 20757, 4244, 13, 1634, 419, 5567, 374, 10735, 389, 26297, 43613, 11, 358, 1744, 7842, 458, 9342, 311, 8552, 4271, 315, 2686, 4185, 4244, 1035, 71323, 1492, 279, 3942, 3535, 279, 6559, 32483, 1948, 3409, 13042, 5413, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 4522, 11, 714, 3880, 5107, 21204, 311, 19681, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 28108, 3495, 198, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 98637, 311, 8552, 3409, 13042, 4271, 369, 8848, 4244, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 13230, 7842, 458, 9342, 311, 15442, 279, 4271, 315, 3409, 43613, 369, 2686, 4185, 4244, 11, 892, 374, 2989, 369, 9079, 1075, 25975, 6358, 382, 34764, 565, 10294, 8883, 198, 1925, 279, 8544, 315, 26297, 3409, 43613, 11, 4271, 438, 264, 729, 315, 3409, 11639, 374, 2494, 358, 3003, 3545, 1730, 311, 387, 264, 3491, 13, 1752, 3110, 11, 8848, 4244, 525, 3545, 2989, 369, 25975, 6358, 11, 714, 1657, 3409, 13042, 52143, 8193, 7852, 43613, 369, 678, 714, 279, 1909, 220, 16, 15, 15, 15, 476, 773, 1429, 20757, 4244, 13, 1634, 419, 5567, 374, 10735, 389, 26297, 43613, 11, 358, 1744, 7842, 458, 9342, 311, 8552, 4271, 315, 2686, 4185, 4244, 1035, 71323, 1492, 279, 3942, 3535, 279, 6559, 32483, 1948, 3409, 13042, 5413, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 4522, 11, 714, 3880, 5107, 21204, 311, 19681, 271, 34764, 565, 10294, 86324, 198, 20, 25, 358, 1079, 10875, 3654, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407 ]
408
[ 2, 5430, 8085, 198, 565, 5430, 3988, 198, 12146, 32, 80051, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 98637, 311, 8552, 3409, 13042, 4271, 369, 8848, 4244, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 13230, 7842, 458, 9342, 311, 15442, 279, 4271, 315, 3409, 43613, 369, 2686, 4185, 4244, 11, 892, 374, 2989, 369, 9079, 1075, 25975, 6358, 382, 34764, 565, 10294, 8883, 198, 1925, 279, 8544, 315, 26297, 3409, 43613, 11, 4271, 438, 264, 729, 315, 3409, 11639, 374, 2494, 358, 3003, 3545, 1730, 311, 387, 264, 3491, 13, 1752, 3110, 11, 8848, 4244, 525, 3545, 2989, 369, 25975, 6358, 11, 714, 1657, 3409, 13042, 52143, 8193, 7852, 43613, 369, 678, 714, 279, 1909, 220, 16, 15, 15, 15, 476, 773, 1429, 20757, 4244, 13, 1634, 419, 5567, 374, 10735, 389, 26297, 43613, 11, 358, 1744, 7842, 458, 9342, 311, 8552, 4271, 315, 2686, 4185, 4244, 1035, 71323, 1492, 279, 3942, 3535, 279, 6559, 32483, 1948, 3409, 13042, 5413, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 4522, 11, 714, 3880, 5107, 21204, 311, 19681, 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 ]
[ 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, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 98637, 311, 8552, 3409, 13042, 4271, 369, 8848, 4244, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 13230, 7842, 458, 9342, 311, 15442, 279, 4271, 315, 3409, 43613, 369, 2686, 4185, 4244, 11, 892, 374, 2989, 369, 9079, 1075, 25975, 6358, 382, 34764, 565, 10294, 8883, 198, 1925, 279, 8544, 315, 26297, 3409, 43613, 11, 4271, 438, 264, 729, 315, 3409, 11639, 374, 2494, 358, 3003, 3545, 1730, 311, 387, 264, 3491, 13, 1752, 3110, 11, 8848, 4244, 525, 3545, 2989, 369, 25975, 6358, 11, 714, 1657, 3409, 13042, 52143, 8193, 7852, 43613, 369, 678, 714, 279, 1909, 220, 16, 15, 15, 15, 476, 773, 1429, 20757, 4244, 13, 1634, 419, 5567, 374, 10735, 389, 26297, 43613, 11, 358, 1744, 7842, 458, 9342, 311, 8552, 4271, 315, 2686, 4185, 4244, 1035, 71323, 1492, 279, 3942, 3535, 279, 6559, 32483, 1948, 3409, 13042, 5413, 382, 34764, 565, 10294, 19216, 198, 19, 25, 1661, 4522, 11, 714, 3880, 5107, 21204, 311, 19681, 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
[ 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, 82363, 1714, 369, 3409, 70547, 36756, 14071, 6505, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 15442, 3409, 70547, 1667, 23850, 9079, 11, 714, 279, 22000, 6505, 36756, 2524, 916, 1376, 7332, 11, 3259, 432, 5000, 311, 4038, 22414, 30242, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 1714, 369, 37563, 1931, 45154, 3260, 4621, 70547, 315, 4244, 3118, 389, 3807, 3409, 323, 3409, 2268, 1310, 23850, 9079, 13, 17594, 16460, 315, 1741, 70547, 374, 458, 7040, 323, 2989, 3491, 11, 279, 22000, 6505, 1483, 374, 21214, 11997, 311, 4038, 894, 7040, 30242, 13, 576, 22000, 16460, 315, 279, 70547, 374, 25822, 4558, 6587, 650, 40440, 1388, 4152, 311, 3807, 2335, 13586, 9363, 13, 576, 4119, 1483, 311, 8193, 279, 70547, 1033, 16176, 389, 2155, 29425, 11, 448, 2155, 23820, 1276, 550, 11, 2266, 12282, 11, 323, 1372, 315, 16211, 1526, 279, 821, 13, 17147, 25902, 369, 1493, 432, 374, 11997, 311, 1414, 279, 1931, 7966, 4815, 279, 11799, 304, 5068, 315, 279, 70547, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 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 ]
[ 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, 82363, 1714, 369, 3409, 70547, 36756, 14071, 6505, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 15442, 3409, 70547, 1667, 23850, 9079, 11, 714, 279, 22000, 6505, 36756, 2524, 916, 1376, 7332, 11, 3259, 432, 5000, 311, 4038, 22414, 30242, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 1714, 369, 37563, 1931, 45154, 3260, 4621, 70547, 315, 4244, 3118, 389, 3807, 3409, 323, 3409, 2268, 1310, 23850, 9079, 13, 17594, 16460, 315, 1741, 70547, 374, 458, 7040, 323, 2989, 3491, 11, 279, 22000, 6505, 1483, 374, 21214, 11997, 311, 4038, 894, 7040, 30242, 13, 576, 22000, 16460, 315, 279, 70547, 374, 25822, 4558, 6587, 650, 40440, 1388, 4152, 311, 3807, 2335, 13586, 9363, 13, 576, 4119, 1483, 311, 8193, 279, 70547, 1033, 16176, 389, 2155, 29425, 11, 448, 2155, 23820, 1276, 550, 11, 2266, 12282, 11, 323, 1372, 315, 16211, 1526, 279, 821, 13, 17147, 25902, 369, 1493, 432, 374, 11997, 311, 1414, 279, 1931, 7966, 4815, 279, 11799, 304, 5068, 315, 279, 70547, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 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
[ 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, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 82363, 1714, 369, 3409, 70547, 36756, 14071, 6505, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 15442, 3409, 70547, 1667, 23850, 9079, 11, 714, 279, 22000, 6505, 36756, 2524, 916, 1376, 7332, 11, 3259, 432, 5000, 311, 4038, 22414, 30242, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 1714, 369, 37563, 1931, 45154, 3260, 4621, 70547, 315, 4244, 3118, 389, 3807, 3409, 323, 3409, 2268, 1310, 23850, 9079, 13, 17594, 16460, 315, 1741, 70547, 374, 458, 7040, 323, 2989, 3491, 11, 279, 22000, 6505, 1483, 374, 21214, 11997, 311, 4038, 894, 7040, 30242, 13, 576, 22000, 16460, 315, 279, 70547, 374, 25822, 4558, 6587, 650, 40440, 1388, 4152, 311, 3807, 2335, 13586, 9363, 13, 576, 4119, 1483, 311, 8193, 279, 70547, 1033, 16176, 389, 2155, 29425, 11, 448, 2155, 23820, 1276, 550, 11, 2266, 12282, 11, 323, 1372, 315, 16211, 1526, 279, 821, 13, 17147, 25902, 369, 1493, 432, 374, 11997, 311, 1414, 279, 1931, 7966, 4815, 279, 11799, 304, 5068, 315, 279, 70547, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 82363, 1714, 369, 3409, 70547, 36756, 14071, 6505, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 54625, 264, 1714, 311, 15442, 3409, 70547, 1667, 23850, 9079, 11, 714, 279, 22000, 6505, 36756, 2524, 916, 1376, 7332, 11, 3259, 432, 5000, 311, 4038, 22414, 30242, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 54625, 264, 1714, 369, 37563, 1931, 45154, 3260, 4621, 70547, 315, 4244, 3118, 389, 3807, 3409, 323, 3409, 2268, 1310, 23850, 9079, 13, 17594, 16460, 315, 1741, 70547, 374, 458, 7040, 323, 2989, 3491, 11, 279, 22000, 6505, 1483, 374, 21214, 11997, 311, 4038, 894, 7040, 30242, 13, 576, 22000, 16460, 315, 279, 70547, 374, 25822, 4558, 6587, 650, 40440, 1388, 4152, 311, 3807, 2335, 13586, 9363, 13, 576, 4119, 1483, 311, 8193, 279, 70547, 1033, 16176, 389, 2155, 29425, 11, 448, 2155, 23820, 1276, 550, 11, 2266, 12282, 11, 323, 1372, 315, 16211, 1526, 279, 821, 13, 17147, 25902, 369, 1493, 432, 374, 11997, 311, 1414, 279, 1931, 7966, 4815, 279, 11799, 304, 5068, 315, 279, 70547, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427 ]
428
[ 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, 855, 68924, 3409, 70547, 3941, 9079, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 279, 5068, 315, 2326, 4494, 315, 855, 68924, 3409, 70547, 320, 44756, 7326, 11, 69894, 20316, 88921, 4128, 1614, 11, 323, 8705, 1103, 1842, 452, 3159, 82, 8129, 8, 3941, 4236, 9079, 13, 5976, 279, 12313, 374, 5390, 369, 26301, 70547, 11, 432, 1558, 537, 3410, 25709, 1119, 892, 5413, 525, 69568, 476, 279, 9363, 27887, 5068, 382, 34764, 565, 10294, 8883, 198, 785, 20503, 31138, 220, 18, 4494, 315, 17424, 93732, 4237, 43613, 315, 4244, 25, 8947, 553, 84807, 7326, 320, 6127, 1684, 529, 323, 90019, 11, 220, 16, 16, 701, 279, 69894, 20316, 88921, 4128, 1614, 320, 44, 86065, 323, 472, 7306, 11, 220, 17, 15, 15, 22, 8, 323, 8705, 1103, 1842, 452, 594, 320, 17, 15, 16, 15, 8, 8129, 315, 279, 84807, 7326, 1714, 13, 2379, 9429, 5068, 315, 71291, 1667, 279, 70547, 389, 220, 20, 2155, 9079, 320, 68, 1302, 2572, 25975, 75690, 11, 36921, 9825, 568, 758, 264, 1616, 11, 419, 20503, 374, 4428, 311, 279, 975, 315, 8705, 1103, 1842, 452, 320, 17, 15, 16, 15, 8, 1380, 2155, 4494, 315, 3409, 43613, 525, 7707, 11, 4764, 11, 1588, 279, 12014, 1101, 990, 2500, 43613, 4751, 1091, 48753, 862, 1828, 13, 52023, 11, 807, 4157, 24354, 279, 3100, 389, 892, 9363, 7802, 279, 12942, 5068, 279, 1429, 320, 68, 1302, 2572, 821, 1379, 11, 4709, 1483, 11, 87294, 17484, 568, 52023, 11, 279, 5567, 1231, 387, 5390, 979, 29130, 892, 43613, 311, 4139, 11, 714, 432, 1558, 537, 3410, 38944, 7040, 25709, 389, 892, 5413, 525, 69568, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 855, 68924, 3409, 70547, 3941, 9079, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 279, 5068, 315, 2326, 4494, 315, 855, 68924, 3409, 70547, 320, 44756, 7326, 11, 69894, 20316, 88921, 4128, 1614, 11, 323, 8705, 1103, 1842, 452, 3159, 82, 8129, 8, 3941, 4236, 9079, 13, 5976, 279, 12313, 374, 5390, 369, 26301, 70547, 11, 432, 1558, 537, 3410, 25709, 1119, 892, 5413, 525, 69568, 476, 279, 9363, 27887, 5068, 382, 34764, 565, 10294, 8883, 198, 785, 20503, 31138, 220, 18, 4494, 315, 17424, 93732, 4237, 43613, 315, 4244, 25, 8947, 553, 84807, 7326, 320, 6127, 1684, 529, 323, 90019, 11, 220, 16, 16, 701, 279, 69894, 20316, 88921, 4128, 1614, 320, 44, 86065, 323, 472, 7306, 11, 220, 17, 15, 15, 22, 8, 323, 8705, 1103, 1842, 452, 594, 320, 17, 15, 16, 15, 8, 8129, 315, 279, 84807, 7326, 1714, 13, 2379, 9429, 5068, 315, 71291, 1667, 279, 70547, 389, 220, 20, 2155, 9079, 320, 68, 1302, 2572, 25975, 75690, 11, 36921, 9825, 568, 758, 264, 1616, 11, 419, 20503, 374, 4428, 311, 279, 975, 315, 8705, 1103, 1842, 452, 320, 17, 15, 16, 15, 8, 1380, 2155, 4494, 315, 3409, 43613, 525, 7707, 11, 4764, 11, 1588, 279, 12014, 1101, 990, 2500, 43613, 4751, 1091, 48753, 862, 1828, 13, 52023, 11, 807, 4157, 24354, 279, 3100, 389, 892, 9363, 7802, 279, 12942, 5068, 279, 1429, 320, 68, 1302, 2572, 821, 1379, 11, 4709, 1483, 11, 87294, 17484, 568, 52023, 11, 279, 5567, 1231, 387, 5390, 979, 29130, 892, 43613, 311, 4139, 11, 714, 432, 1558, 537, 3410, 38944, 7040, 25709, 389, 892, 5413, 525, 69568, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271, 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 785, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 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 ]
[ 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 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
[ 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, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 855, 68924, 3409, 70547, 3941, 9079, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 279, 5068, 315, 2326, 4494, 315, 855, 68924, 3409, 70547, 320, 44756, 7326, 11, 69894, 20316, 88921, 4128, 1614, 11, 323, 8705, 1103, 1842, 452, 3159, 82, 8129, 8, 3941, 4236, 9079, 13, 5976, 279, 12313, 374, 5390, 369, 26301, 70547, 11, 432, 1558, 537, 3410, 25709, 1119, 892, 5413, 525, 69568, 476, 279, 9363, 27887, 5068, 382, 34764, 565, 10294, 8883, 198, 785, 20503, 31138, 220, 18, 4494, 315, 17424, 93732, 4237, 43613, 315, 4244, 25, 8947, 553, 84807, 7326, 320, 6127, 1684, 529, 323, 90019, 11, 220, 16, 16, 701, 279, 69894, 20316, 88921, 4128, 1614, 320, 44, 86065, 323, 472, 7306, 11, 220, 17, 15, 15, 22, 8, 323, 8705, 1103, 1842, 452, 594, 320, 17, 15, 16, 15, 8, 8129, 315, 279, 84807, 7326, 1714, 13, 2379, 9429, 5068, 315, 71291, 1667, 279, 70547, 389, 220, 20, 2155, 9079, 320, 68, 1302, 2572, 25975, 75690, 11, 36921, 9825, 568, 758, 264, 1616, 11, 419, 20503, 374, 4428, 311, 279, 975, 315, 8705, 1103, 1842, 452, 320, 17, 15, 16, 15, 8, 1380, 2155, 4494, 315, 3409, 43613, 525, 7707, 11, 4764, 11, 1588, 279, 12014, 1101, 990, 2500, 43613, 4751, 1091, 48753, 862, 1828, 13, 52023, 11, 807, 4157, 24354, 279, 3100, 389, 892, 9363, 7802, 279, 12942, 5068, 279, 1429, 320, 68, 1302, 2572, 821, 1379, 11, 4709, 1483, 11, 87294, 17484, 568, 52023, 11, 279, 5567, 1231, 387, 5390, 979, 29130, 892, 43613, 311, 4139, 11, 714, 432, 1558, 537, 3410, 38944, 7040, 25709, 389, 892, 5413, 525, 69568, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 855, 68924, 3409, 70547, 3941, 9079, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 279, 5068, 315, 2326, 4494, 315, 855, 68924, 3409, 70547, 320, 44756, 7326, 11, 69894, 20316, 88921, 4128, 1614, 11, 323, 8705, 1103, 1842, 452, 3159, 82, 8129, 8, 3941, 4236, 9079, 13, 5976, 279, 12313, 374, 5390, 369, 26301, 70547, 11, 432, 1558, 537, 3410, 25709, 1119, 892, 5413, 525, 69568, 476, 279, 9363, 27887, 5068, 382, 34764, 565, 10294, 8883, 198, 785, 20503, 31138, 220, 18, 4494, 315, 17424, 93732, 4237, 43613, 315, 4244, 25, 8947, 553, 84807, 7326, 320, 6127, 1684, 529, 323, 90019, 11, 220, 16, 16, 701, 279, 69894, 20316, 88921, 4128, 1614, 320, 44, 86065, 323, 472, 7306, 11, 220, 17, 15, 15, 22, 8, 323, 8705, 1103, 1842, 452, 594, 320, 17, 15, 16, 15, 8, 8129, 315, 279, 84807, 7326, 1714, 13, 2379, 9429, 5068, 315, 71291, 1667, 279, 70547, 389, 220, 20, 2155, 9079, 320, 68, 1302, 2572, 25975, 75690, 11, 36921, 9825, 568, 758, 264, 1616, 11, 419, 20503, 374, 4428, 311, 279, 975, 315, 8705, 1103, 1842, 452, 320, 17, 15, 16, 15, 8, 1380, 2155, 4494, 315, 3409, 43613, 525, 7707, 11, 4764, 11, 1588, 279, 12014, 1101, 990, 2500, 43613, 4751, 1091, 48753, 862, 1828, 13, 52023, 11, 807, 4157, 24354, 279, 3100, 389, 892, 9363, 7802, 279, 12942, 5068, 279, 1429, 320, 68, 1302, 2572, 821, 1379, 11, 4709, 1483, 11, 87294, 17484, 568, 52023, 11, 279, 5567, 1231, 387, 5390, 979, 29130, 892, 43613, 311, 4139, 11, 714, 432, 1558, 537, 3410, 38944, 7040, 25709, 389, 892, 5413, 525, 69568, 382, 34764, 565, 10294, 19216, 198, 46996, 11, 537, 3746, 3322, 271 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34764, 565, 10294, 86324, 198, 40, 1079, 16506, 304, 847, 15449, 198, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 ]
18
[ 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, 3409, 70547, 36756, 66309, 323, 7990, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 855, 68924, 3409, 70547, 714, 36756, 66309, 323, 7990, 304, 1181, 5486, 11, 438, 432, 1558, 537, 5426, 70547, 389, 279, 1852, 10337, 476, 15442, 389, 803, 17003, 9079, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 2326, 2500, 3409, 4621, 70547, 389, 3807, 9079, 13, 576, 5567, 36756, 14400, 304, 66309, 2474, 279, 22879, 525, 4936, 23293, 13, 1084, 1035, 387, 14400, 803, 7040, 421, 279, 5413, 1030, 1012, 16176, 389, 279, 1852, 10337, 323, 389, 15750, 476, 1931, 9079, 1741, 438, 451, 640, 320, 300, 2814, 553, 8705, 1103, 568, 1752, 264, 803, 41733, 16460, 279, 29425, 315, 9322, 14027, 18, 20, 18, 476, 58409, 1842, 452, 1410, 387, 1483, 311, 9429, 311, 3738, 58258, 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, 785, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 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 ]
[ 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, 3409, 70547, 36756, 66309, 323, 7990, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 855, 68924, 3409, 70547, 714, 36756, 66309, 323, 7990, 304, 1181, 5486, 11, 438, 432, 1558, 537, 5426, 70547, 389, 279, 1852, 10337, 476, 15442, 389, 803, 17003, 9079, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 2326, 2500, 3409, 4621, 70547, 389, 3807, 9079, 13, 576, 5567, 36756, 14400, 304, 66309, 2474, 279, 22879, 525, 4936, 23293, 13, 1084, 1035, 387, 14400, 803, 7040, 421, 279, 5413, 1030, 1012, 16176, 389, 279, 1852, 10337, 323, 389, 15750, 476, 1931, 9079, 1741, 438, 451, 640, 320, 300, 2814, 553, 8705, 1103, 568, 1752, 264, 803, 41733, 16460, 279, 29425, 315, 9322, 14027, 18, 20, 18, 476, 58409, 1842, 452, 1410, 387, 1483, 311, 9429, 311, 3738, 58258, 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, 785, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 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
[ 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, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 3409, 70547, 36756, 66309, 323, 7990, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 855, 68924, 3409, 70547, 714, 36756, 66309, 323, 7990, 304, 1181, 5486, 11, 438, 432, 1558, 537, 5426, 70547, 389, 279, 1852, 10337, 476, 15442, 389, 803, 17003, 9079, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 2326, 2500, 3409, 4621, 70547, 389, 3807, 9079, 13, 576, 5567, 36756, 14400, 304, 66309, 2474, 279, 22879, 525, 4936, 23293, 13, 1084, 1035, 387, 14400, 803, 7040, 421, 279, 5413, 1030, 1012, 16176, 389, 279, 1852, 10337, 323, 389, 15750, 476, 1931, 9079, 1741, 438, 451, 640, 320, 300, 2814, 553, 8705, 1103, 568, 1752, 264, 803, 41733, 16460, 279, 29425, 315, 9322, 14027, 18, 20, 18, 476, 58409, 1842, 452, 1410, 387, 1483, 311, 9429, 311, 3738, 58258, 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 ]
[ 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, 17399, 533, 7420, 315, 9322, 37068, 24602, 271, 34764, 565, 13513, 8883, 198, 1654, 5931, 311, 2664, 3535, 279, 6672, 304, 4271, 315, 279, 3807, 17424, 5880, 70547, 13, 1205, 29614, 3807, 9079, 429, 1492, 311, 32037, 279, 17452, 315, 2155, 70547, 13, 5633, 16460, 4933, 429, 70547, 525, 2952, 311, 12322, 5538, 52694, 1496, 304, 279, 19265, 315, 11652, 5944, 13, 22827, 11, 28431, 287, 279, 70547, 4933, 2244, 32273, 304, 4271, 323, 17452, 315, 279, 52694, 17006, 553, 279, 12510, 70547, 13, 17375, 11, 582, 1473, 279, 5421, 315, 28765, 279, 1372, 315, 15336, 323, 279, 10935, 315, 1817, 12871, 389, 279, 7373, 5390, 4419, 17006, 553, 279, 39088, 3550, 13, 5633, 19026, 11167, 279, 12650, 315, 70547, 369, 451, 12567, 9079, 323, 279, 2456, 315, 862, 4271, 389, 279, 1590, 3059, 382, 34764, 565, 13513, 55695, 198, 677, 12250, 24602, 6, 364, 10473, 6, 364, 13788, 533, 2355, 6, 364, 1158, 6, 364, 19190, 5589, 1248, 364, 59251, 6, 364, 325, 17539, 6, 364, 325, 17539, 9079, 6, 364, 63650, 70547, 1248, 364, 74014, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 33487, 315, 3409, 70547, 36756, 66309, 323, 7990, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 42465, 855, 68924, 3409, 70547, 714, 36756, 66309, 323, 7990, 304, 1181, 5486, 11, 438, 432, 1558, 537, 5426, 70547, 389, 279, 1852, 10337, 476, 15442, 389, 803, 17003, 9079, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 42465, 2326, 2500, 3409, 4621, 70547, 389, 3807, 9079, 13, 576, 5567, 36756, 14400, 304, 66309, 2474, 279, 22879, 525, 4936, 23293, 13, 1084, 1035, 387, 14400, 803, 7040, 421, 279, 5413, 1030, 1012, 16176, 389, 279, 1852, 10337, 323, 389, 15750, 476, 1931, 9079, 1741, 438, 451, 640, 320, 300, 2814, 553, 8705, 1103, 568, 1752, 264, 803, 41733, 16460, 279, 29425, 315, 9322, 14027, 18, 20, 18, 476, 58409, 1842, 452, 1410, 387, 1483, 311, 9429, 311, 3738, 58258, 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
[ 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, 84971, 369, 26297, 2168, 43613, 304, 34102, 323, 12645, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 28431, 369, 59726, 26297, 2168, 43613, 304, 1584, 8668, 10603, 37821, 5662, 6832, 4119, 323, 1931, 29728, 37040, 504, 8978, 64, 13968, 13, 576, 5486, 5711, 10001, 12435, 6813, 311, 23643, 23094, 323, 11980, 304, 43613, 11, 21080, 389, 2168, 22049, 2022, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 28431, 369, 26297, 43613, 315, 2168, 821, 304, 34102, 323, 12645, 13, 576, 28431, 17167, 315, 3330, 518, 1246, 279, 2168, 22049, 2022, 3383, 374, 20498, 304, 279, 6388, 10001, 12435, 6813, 315, 279, 13042, 11, 8450, 6388, 311, 458, 6358, 315, 23094, 323, 11980, 13, 576, 3412, 10449, 304, 419, 5567, 374, 1632, 14859, 53915, 11, 31000, 323, 7548, 18199, 13, 1084, 374, 311, 847, 6540, 279, 1156, 882, 11, 429, 43613, 12180, 448, 1584, 8668, 10603, 37821, 5662, 6832, 12538, 369, 11129, 525, 59726, 7707, 448, 1931, 29728, 43613, 13, 576, 12014, 61325, 279, 990, 315, 10001, 6358, 11, 553, 279, 304, 46239, 21765, 2090, 311, 6077, 1379, 1660, 34846, 304, 419, 97782, 6243, 13, 1096, 5567, 1083, 24886, 279, 2989, 3405, 315, 1128, 374, 279, 1850, 1616, 315, 26297, 43613, 382, 34764, 565, 10294, 19216, 198, 47586, 323, 18199, 4522, 11, 448, 4650, 369, 5089, 5421, 271, 34764, 565, 10294, 86324, 198, 40, 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, 785, 60477, 78046, 61622, 323, 1181, 39288, 389, 30317, 323, 319, 262, 12960, 271, 34764, 565, 13513, 8883, 198, 32, 1376, 16287, 369, 279, 4401, 315, 7373, 6832, 43613, 374, 862, 16460, 323, 12313, 311, 43613, 582, 1414, 311, 387, 7373, 13, 758, 5810, 47969, 30476, 11, 279, 3942, 702, 19334, 279, 8109, 438, 264, 2530, 315, 19760, 323, 438, 458, 17995, 28431, 369, 2393, 13, 4354, 11, 432, 702, 537, 1012, 3204, 311, 5961, 1273, 4009, 1663, 6832, 25185, 5961, 2348, 279, 43613, 12985, 304, 29728, 5942, 13, 5692, 11, 582, 29614, 264, 501, 28431, 369, 9124, 43613, 389, 892, 582, 614, 5961, 12510, 279, 29728, 13042, 304, 5248, 9124, 82519, 5671, 304, 8978, 19659, 320, 1314, 4849, 821, 504, 508, 44, 1630, 1630, 1842, 452, 2572, 220, 17, 15, 16, 17, 9719, 323, 389, 892, 894, 6366, 11129, 12111, 429, 18644, 264, 4565, 3550, 646, 387, 12510, 13, 576, 28431, 10953, 279, 26279, 315, 279, 29728, 476, 5662, 13042, 553, 24231, 279, 23850, 4709, 389, 279, 11457, 34734, 408, 65174, 3487, 315, 264, 10001, 6172, 508, 34415, 402, 263, 1842, 452, 2572, 220, 17, 15, 16, 16, 936, 758, 1039, 6358, 582, 1477, 429, 279, 29728, 13042, 304, 9124, 3082, 8700, 374, 16353, 311, 9124, 3082, 647, 19, 11, 18860, 458, 5263, 304, 4009, 1663, 5068, 304, 5080, 5866, 315 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 84971, 369, 26297, 2168, 43613, 304, 34102, 323, 12645, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 28431, 369, 59726, 26297, 2168, 43613, 304, 1584, 8668, 10603, 37821, 5662, 6832, 4119, 323, 1931, 29728, 37040, 504, 8978, 64, 13968, 13, 576, 5486, 5711, 10001, 12435, 6813, 311, 23643, 23094, 323, 11980, 304, 43613, 11, 21080, 389, 2168, 22049, 2022, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 28431, 369, 26297, 43613, 315, 2168, 821, 304, 34102, 323, 12645, 13, 576, 28431, 17167, 315, 3330, 518, 1246, 279, 2168, 22049, 2022, 3383, 374, 20498, 304, 279, 6388, 10001, 12435, 6813, 315, 279, 13042, 11, 8450, 6388, 311, 458, 6358, 315, 23094, 323, 11980, 13, 576, 3412, 10449, 304, 419, 5567, 374, 1632, 14859, 53915, 11, 31000, 323, 7548, 18199, 13, 1084, 374, 311, 847, 6540, 279, 1156, 882, 11, 429, 43613, 12180, 448, 1584, 8668, 10603, 37821, 5662, 6832, 12538, 369, 11129, 525, 59726, 7707, 448, 1931, 29728, 43613, 13, 576, 12014, 61325, 279, 990, 315, 10001, 6358, 11, 553, 279, 304, 46239, 21765, 2090, 311, 6077, 1379, 1660, 34846, 304, 419, 97782, 6243, 13, 1096, 5567, 1083, 24886, 279, 2989, 3405, 315, 1128, 374, 279, 1850, 1616, 315, 26297, 43613, 382, 34764, 565, 10294, 19216, 198, 47586, 323, 18199, 4522, 11, 448, 4650, 369, 5089, 5421, 271, 34764, 565, 10294, 86324, 198, 40, 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, 785, 60477, 78046, 61622, 323, 1181, 39288, 389, 30317, 323, 319, 262, 12960, 271, 34764, 565, 13513, 8883, 198, 32, 1376, 16287, 369, 279, 4401, 315, 7373, 6832, 43613, 374, 862, 16460, 323, 12313, 311, 43613, 582, 1414, 311, 387, 7373, 13, 758, 5810, 47969, 30476, 11, 279, 3942, 702, 19334, 279, 8109, 438, 264, 2530, 315, 19760, 323, 438, 458, 17995, 28431, 369, 2393, 13, 4354, 11, 432, 702, 537, 1012, 3204, 311, 5961, 1273, 4009, 1663, 6832, 25185, 5961, 2348, 279, 43613, 12985, 304, 29728, 5942, 13, 5692, 11, 582, 29614, 264, 501, 28431, 369, 9124, 43613, 389, 892, 582, 614, 5961, 12510, 279, 29728, 13042, 304, 5248, 9124, 82519, 5671, 304, 8978, 19659, 320, 1314, 4849, 821, 504, 508, 44, 1630, 1630, 1842, 452, 2572, 220, 17, 15, 16, 17, 9719, 323, 389, 892, 894, 6366, 11129, 12111, 429, 18644, 264, 4565, 3550, 646, 387, 12510, 13, 576, 28431, 10953, 279, 26279, 315, 279, 29728, 476, 5662, 13042, 553, 24231, 279, 23850, 4709, 389, 279, 11457, 34734, 408, 65174, 3487, 315, 264, 10001, 6172, 508, 34415, 402, 263, 1842, 452, 2572, 220, 17, 15, 16, 16, 936, 758, 1039, 6358, 582, 1477, 429, 279, 29728, 13042, 304, 9124, 3082, 8700, 374, 16353, 311, 9124, 3082, 647, 19, 11, 18860, 458, 5263, 304, 4009, 1663, 5068, 304, 5080, 5866, 315 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 279, 82519, 9124, 28922, 13, 1205, 4411, 419, 1102, 10868, 264, 3598, 42191, 25, 432, 374, 279, 1156, 6832, 12111, 582, 614, 1730, 429, 18644, 264, 13042, 389, 1346, 448, 8700, 389, 419, 3383, 315, 28439, 16829, 13, 1205, 3900, 429, 419, 28431, 686, 8683, 438, 458, 2856, 90056, 1459, 369, 4623, 43718, 1948, 43613, 14257, 304, 34102, 323, 12645, 382, 34764, 565, 13513, 55695, 198, 677, 74014, 6, 364, 53060, 6, 364, 811, 4176, 13042, 28431, 6, 364, 32056, 1248, 364, 35269, 804, 6, 364, 811, 4176, 13042, 6, 364, 79186, 6, 364, 34484, 1248, 364, 35269, 1663, 5068, 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 ]
[ 279, 82519, 9124, 28922, 13, 1205, 4411, 419, 1102, 10868, 264, 3598, 42191, 25, 432, 374, 279, 1156, 6832, 12111, 582, 614, 1730, 429, 18644, 264, 13042, 389, 1346, 448, 8700, 389, 419, 3383, 315, 28439, 16829, 13, 1205, 3900, 429, 419, 28431, 686, 8683, 438, 458, 2856, 90056, 1459, 369, 4623, 43718, 1948, 43613, 14257, 304, 34102, 323, 12645, 382, 34764, 565, 13513, 55695, 198, 677, 74014, 6, 364, 53060, 6, 364, 811, 4176, 13042, 28431, 6, 364, 32056, 1248, 364, 35269, 804, 6, 364, 811, 4176, 13042, 6, 364, 79186, 6, 364, 34484, 1248, 364, 35269, 1663, 5068, 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
[ 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, 60477, 78046, 61622, 323, 1181, 39288, 389, 30317, 323, 319, 262, 12960, 271, 34764, 565, 13513, 8883, 198, 32, 1376, 16287, 369, 279, 4401, 315, 7373, 6832, 43613, 374, 862, 16460, 323, 12313, 311, 43613, 582, 1414, 311, 387, 7373, 13, 758, 5810, 47969, 30476, 11, 279, 3942, 702, 19334, 279, 8109, 438, 264, 2530, 315, 19760, 323, 438, 458, 17995, 28431, 369, 2393, 13, 4354, 11, 432, 702, 537, 1012, 3204, 311, 5961, 1273, 4009, 1663, 6832, 25185, 5961, 2348, 279, 43613, 12985, 304, 29728, 5942, 13, 5692, 11, 582, 29614, 264, 501, 28431, 369, 9124, 43613, 389, 892, 582, 614, 5961, 12510, 279, 29728, 13042, 304, 5248, 9124, 82519, 5671, 304, 8978, 19659, 320, 1314, 4849, 821, 504, 508, 44, 1630, 1630, 1842, 452, 2572, 220, 17, 15, 16, 17, 9719, 323, 389, 892, 894, 6366, 11129, 12111, 429, 18644, 264, 4565, 3550, 646, 387, 12510, 13, 576, 28431, 10953, 279, 26279, 315, 279, 29728, 476, 5662, 13042, 553, 24231, 279, 23850, 4709, 389, 279, 11457, 34734, 408, 65174, 3487, 315, 264, 10001, 6172, 508, 34415, 402, 263, 1842, 452, 2572, 220, 17, 15, 16, 16, 936, 758, 1039, 6358, 582, 1477, 429, 279, 29728, 13042, 304, 9124, 3082, 8700, 374, 16353, 311, 9124, 3082, 647, 19, 11, 18860, 458, 5263, 304, 4009, 1663, 5068, 304, 5080, 5866, 315, 279, 82519, 9124, 28922, 13, 1205, 4411, 419, 1102, 10868, 264, 3598, 42191, 25, 432, 374, 279, 1156, 6832, 12111, 582, 614, 1730, 429, 18644, 264, 13042, 389, 1346, 448, 8700, 389, 419, 3383, 315, 28439, 16829, 13, 1205, 3900, 429, 419, 28431, 686, 8683, 438, 458, 2856, 90056, 1459, 369, 4623, 43718, 1948, 43613, 14257, 304, 34102, 323, 12645, 382, 34764, 565, 13513, 55695, 198, 677, 74014, 6, 364, 53060, 6, 364, 811, 4176, 13042, 28431, 6, 364, 32056, 1248, 364, 35269, 804, 6, 364, 811, 4176, 13042, 6, 364, 79186, 6, 364, 34484, 1248, 364, 35269, 1663, 5068, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 84971, 369, 26297, 2168, 43613, 304, 34102, 323, 12645, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 28431, 369, 59726, 26297, 2168, 43613, 304, 1584, 8668, 10603, 37821, 5662, 6832, 4119, 323, 1931, 29728, 37040, 504, 8978, 64, 13968, 13, 576, 5486, 5711, 10001, 12435, 6813, 311, 23643, 23094, 323, 11980, 304, 43613, 11, 21080, 389, 2168, 22049, 2022, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 28431, 369, 26297, 43613, 315, 2168, 821, 304, 34102, 323, 12645, 13, 576, 28431, 17167, 315, 3330, 518, 1246, 279, 2168, 22049, 2022, 3383, 374, 20498, 304, 279, 6388, 10001, 12435, 6813, 315, 279, 13042, 11, 8450, 6388, 311, 458, 6358, 315, 23094, 323, 11980, 13, 576, 3412, 10449, 304, 419, 5567, 374, 1632, 14859, 53915, 11, 31000, 323, 7548, 18199, 13, 1084, 374, 311, 847, 6540 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 60477, 78046, 61622, 323, 1181, 39288, 389, 30317, 323, 319, 262, 12960, 271, 34764, 565, 13513, 8883, 198, 32, 1376, 16287, 369, 279, 4401, 315, 7373, 6832, 43613, 374, 862, 16460, 323, 12313, 311, 43613, 582, 1414, 311, 387, 7373, 13, 758, 5810, 47969, 30476, 11, 279, 3942, 702, 19334, 279, 8109, 438, 264, 2530, 315, 19760, 323, 438, 458, 17995, 28431, 369, 2393, 13, 4354, 11, 432, 702, 537, 1012, 3204, 311, 5961, 1273, 4009, 1663, 6832, 25185, 5961, 2348, 279, 43613, 12985, 304, 29728, 5942, 13, 5692, 11, 582, 29614, 264, 501, 28431, 369, 9124, 43613, 389, 892, 582, 614, 5961, 12510, 279, 29728, 13042, 304, 5248, 9124, 82519, 5671, 304, 8978, 19659, 320, 1314, 4849, 821, 504, 508, 44, 1630, 1630, 1842, 452, 2572, 220, 17, 15, 16, 17, 9719, 323, 389, 892, 894, 6366, 11129, 12111, 429, 18644, 264, 4565, 3550, 646, 387, 12510, 13, 576, 28431, 10953, 279, 26279, 315, 279, 29728, 476, 5662, 13042, 553, 24231, 279, 23850, 4709, 389, 279, 11457, 34734, 408, 65174, 3487, 315, 264, 10001, 6172, 508, 34415, 402, 263, 1842, 452, 2572, 220, 17, 15, 16, 16, 936, 758, 1039, 6358, 582, 1477, 429, 279, 29728, 13042, 304, 9124, 3082, 8700, 374, 16353, 311, 9124, 3082, 647, 19, 11, 18860, 458, 5263, 304, 4009, 1663, 5068, 304, 5080, 5866, 315, 279, 82519, 9124, 28922, 13, 1205, 4411, 419, 1102, 10868, 264, 3598, 42191, 25, 432, 374, 279, 1156, 6832, 12111, 582, 614, 1730, 429, 18644, 264, 13042, 389, 1346, 448, 8700, 389, 419, 3383, 315, 28439, 16829, 13, 1205, 3900, 429, 419, 28431, 686, 8683, 438, 458, 2856, 90056, 1459, 369, 4623, 43718, 1948, 43613, 14257, 304, 34102, 323, 12645, 382, 34764, 565, 13513, 55695, 198, 677, 74014, 6, 364, 53060, 6, 364, 811, 4176, 13042, 28431, 6, 364, 32056, 1248, 364, 35269, 804, 6, 364, 811, 4176, 13042, 6, 364, 79186, 6, 364, 34484, 1248, 364, 35269, 1663, 5068, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 84971, 369, 26297, 2168, 43613, 304, 34102, 323, 12645, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 11514, 28431, 369, 59726, 26297, 2168, 43613, 304, 1584, 8668, 10603, 37821, 5662, 6832, 4119, 323, 1931, 29728, 37040, 504, 8978, 64, 13968, 13, 576, 5486, 5711, 10001, 12435, 6813, 311, 23643, 23094, 323, 11980, 304, 43613, 11, 21080, 389, 2168, 22049, 2022, 9079, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 18404, 264, 28431, 369, 26297, 43613, 315, 2168, 821, 304, 34102, 323, 12645, 13, 576, 28431, 17167, 315, 3330, 518, 1246, 279, 2168, 22049, 2022, 3383, 374, 20498, 304, 279, 6388, 10001, 12435, 6813, 315, 279, 13042, 11, 8450, 6388, 311, 458, 6358, 315, 23094, 323, 11980, 13, 576, 3412, 10449, 304, 419, 5567, 374, 1632, 14859, 53915, 11, 31000, 323, 7548, 18199, 13, 1084, 374, 311, 847, 6540 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 279, 1156, 882, 11, 429, 43613, 12180, 448, 1584, 8668, 10603, 37821, 5662, 6832, 12538, 369, 11129, 525, 59726, 7707, 448, 1931, 29728, 43613, 13, 576, 12014, 61325, 279, 990, 315, 10001, 6358, 11, 553, 279, 304, 46239, 21765, 2090, 311, 6077, 1379, 1660, 34846, 304, 419, 97782, 6243, 13, 1096, 5567, 1083, 24886, 279, 2989, 3405, 315, 1128, 374, 279, 1850, 1616, 315, 26297, 43613, 382, 34764, 565, 10294, 19216, 198, 47586, 323, 18199, 4522, 11, 448, 4650, 369, 5089, 5421, 271, 34764, 565, 10294, 86324, 198, 40, 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 ]
[ 279, 1156, 882, 11, 429, 43613, 12180, 448, 1584, 8668, 10603, 37821, 5662, 6832, 12538, 369, 11129, 525, 59726, 7707, 448, 1931, 29728, 43613, 13, 576, 12014, 61325, 279, 990, 315, 10001, 6358, 11, 553, 279, 304, 46239, 21765, 2090, 311, 6077, 1379, 1660, 34846, 304, 419, 97782, 6243, 13, 1096, 5567, 1083, 24886, 279, 2989, 3405, 315, 1128, 374, 279, 1850, 1616, 315, 26297, 43613, 382, 34764, 565, 10294, 19216, 198, 47586, 323, 18199, 4522, 11, 448, 4650, 369, 5089, 5421, 271, 34764, 565, 10294, 86324, 198, 40, 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
[ 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, 84971, 287, 4565, 6832, 2348, 29728, 43613, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 28431, 369, 37563, 4565, 6832, 25185, 553, 26297, 862, 5068, 311, 7401, 19659, 8700, 323, 647, 19, 33213, 1667, 264, 11514, 10337, 323, 10001, 6358, 1714, 13, 576, 5486, 23497, 389, 3383, 5504, 8367, 4009, 1663, 6832, 323, 21314, 279, 4650, 315, 5538, 55712, 278, 14155, 311, 52020, 29728, 5068, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 8552, 288, 4565, 6832, 25185, 553, 26297, 862, 5068, 389, 458, 1633, 23850, 3383, 311, 429, 315, 7401, 19659, 8700, 323, 647, 19, 33213, 13, 576, 975, 5707, 264, 501, 10337, 315, 5335, 11, 458, 6358, 1714, 369, 26297, 4565, 43613, 3118, 389, 10001, 6358, 11, 323, 29728, 4565, 22879, 12433, 504, 647, 19, 323, 8700, 33213, 304, 2033, 311, 1493, 5335, 13, 576, 12014, 15442, 264, 1372, 315, 3213, 4009, 1663, 6832, 25185, 11, 323, 10542, 264, 3213, 5486, 3118, 389, 5538, 55712, 278, 14155, 700, 712, 9807, 647, 19, 323, 8700, 33213, 13, 576, 5567, 374, 279, 1156, 315, 1181, 3093, 304, 8241, 4135, 7375, 311, 15442, 501, 43613, 2348, 1550, 2188, 29728, 9124, 43613, 13, 1084, 594, 12313, 1714, 43542, 504, 4867, 975, 553, 23890, 4009, 1663, 6832, 448, 5091, 311, 264, 3383, 11, 323, 16085, 374, 2686, 27061, 553, 13581, 3383, 12, 404, 97573, 877, 3530, 1721, 12784, 550, 315, 279, 29728, 2033, 13, 576, 10001, 6358, 18266, 17064, 3425, 29728, 323, 20443, 821, 646, 11075, 4428, 23850, 5068, 369, 264, 2661, 1614, 23094, 11, 714, 419, 374, 264, 8651, 3405, 504, 10161, 3425, 279, 29728, 13042, 374, 4428, 311, 279, 20443, 13042, 382, 34764, 565, 10294, 19216, 198, 47586, 323, 11514, 4522, 448, 2797, 4650, 369, 5421, 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, 785, 60477, 78046, 61622, 323, 1181, 39288, 389, 30317, 323, 319, 262, 12960, 271, 34764, 565, 13513, 8883, 198, 32, 1376, 16287, 369, 279, 4401, 315, 7373, 6832, 43613, 374, 862, 16460, 323, 12313, 311, 43613, 582, 1414, 311, 387, 7373, 13, 758, 5810, 47969, 30476, 11, 279, 3942, 702, 19334, 279, 8109, 438, 264, 2530, 315, 19760, 323, 438, 458, 17995, 28431, 369, 2393, 13, 4354, 11, 432, 702, 537, 1012, 3204, 311, 5961, 1273, 4009, 1663, 6832, 25185, 5961, 2348, 279, 43613, 12985, 304, 29728, 5942, 13, 5692, 11, 582, 29614, 264, 501, 28431, 369, 9124, 43613, 389, 892, 582, 614, 5961, 12510, 279, 29728, 13042, 304, 5248, 9124, 82519, 5671, 304, 8978, 19659, 320, 1314, 4849, 821, 504, 508, 44, 1630, 1630, 1842, 452, 2572, 220, 17, 15, 16, 17, 9719, 323, 389, 892, 894, 6366, 11129, 12111, 429, 18644, 264, 4565, 3550, 646, 387, 12510, 13, 576, 28431, 10953, 279, 26279, 315, 279, 29728 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 84971, 287, 4565, 6832, 2348, 29728, 43613, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 28431, 369, 37563, 4565, 6832, 25185, 553, 26297, 862, 5068, 311, 7401, 19659, 8700, 323, 647, 19, 33213, 1667, 264, 11514, 10337, 323, 10001, 6358, 1714, 13, 576, 5486, 23497, 389, 3383, 5504, 8367, 4009, 1663, 6832, 323, 21314, 279, 4650, 315, 5538, 55712, 278, 14155, 311, 52020, 29728, 5068, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 8552, 288, 4565, 6832, 25185, 553, 26297, 862, 5068, 389, 458, 1633, 23850, 3383, 311, 429, 315, 7401, 19659, 8700, 323, 647, 19, 33213, 13, 576, 975, 5707, 264, 501, 10337, 315, 5335, 11, 458, 6358, 1714, 369, 26297, 4565, 43613, 3118, 389, 10001, 6358, 11, 323, 29728, 4565, 22879, 12433, 504, 647, 19, 323, 8700, 33213, 304, 2033, 311, 1493, 5335, 13, 576, 12014, 15442, 264, 1372, 315, 3213, 4009, 1663, 6832, 25185, 11, 323, 10542, 264, 3213, 5486, 3118, 389, 5538, 55712, 278, 14155, 700, 712, 9807, 647, 19, 323, 8700, 33213, 13, 576, 5567, 374, 279, 1156, 315, 1181, 3093, 304, 8241, 4135, 7375, 311, 15442, 501, 43613, 2348, 1550, 2188, 29728, 9124, 43613, 13, 1084, 594, 12313, 1714, 43542, 504, 4867, 975, 553, 23890, 4009, 1663, 6832, 448, 5091, 311, 264, 3383, 11, 323, 16085, 374, 2686, 27061, 553, 13581, 3383, 12, 404, 97573, 877, 3530, 1721, 12784, 550, 315, 279, 29728, 2033, 13, 576, 10001, 6358, 18266, 17064, 3425, 29728, 323, 20443, 821, 646, 11075, 4428, 23850, 5068, 369, 264, 2661, 1614, 23094, 11, 714, 419, 374, 264, 8651, 3405, 504, 10161, 3425, 279, 29728, 13042, 374, 4428, 311, 279, 20443, 13042, 382, 34764, 565, 10294, 19216, 198, 47586, 323, 11514, 4522, 448, 2797, 4650, 369, 5421, 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, 785, 60477, 78046, 61622, 323, 1181, 39288, 389, 30317, 323, 319, 262, 12960, 271, 34764, 565, 13513, 8883, 198, 32, 1376, 16287, 369, 279, 4401, 315, 7373, 6832, 43613, 374, 862, 16460, 323, 12313, 311, 43613, 582, 1414, 311, 387, 7373, 13, 758, 5810, 47969, 30476, 11, 279, 3942, 702, 19334, 279, 8109, 438, 264, 2530, 315, 19760, 323, 438, 458, 17995, 28431, 369, 2393, 13, 4354, 11, 432, 702, 537, 1012, 3204, 311, 5961, 1273, 4009, 1663, 6832, 25185, 5961, 2348, 279, 43613, 12985, 304, 29728, 5942, 13, 5692, 11, 582, 29614, 264, 501, 28431, 369, 9124, 43613, 389, 892, 582, 614, 5961, 12510, 279, 29728, 13042, 304, 5248, 9124, 82519, 5671, 304, 8978, 19659, 320, 1314, 4849, 821, 504, 508, 44, 1630, 1630, 1842, 452, 2572, 220, 17, 15, 16, 17, 9719, 323, 389, 892, 894, 6366, 11129, 12111, 429, 18644, 264, 4565, 3550, 646, 387, 12510, 13, 576, 28431, 10953, 279, 26279, 315, 279, 29728 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 476, 5662, 13042, 553, 24231, 279, 23850, 4709, 389, 279, 11457, 34734, 408, 65174, 3487, 315, 264, 10001, 6172, 508, 34415, 402, 263, 1842, 452, 2572, 220, 17, 15, 16, 16, 936, 758, 1039, 6358, 582, 1477, 429, 279, 29728, 13042, 304, 9124, 3082, 8700, 374, 16353, 311, 9124, 3082, 647, 19, 11, 18860, 458, 5263, 304, 4009, 1663, 5068, 304, 5080, 5866, 315, 279, 82519, 9124, 28922, 13, 1205, 4411, 419, 1102, 10868, 264, 3598, 42191, 25, 432, 374, 279, 1156, 6832, 12111, 582, 614, 1730, 429, 18644, 264, 13042, 389, 1346, 448, 8700, 389, 419, 3383, 315, 28439, 16829, 13, 1205, 3900, 429, 419, 28431, 686, 8683, 438, 458, 2856, 90056, 1459, 369, 4623, 43718, 1948, 43613, 14257, 304, 34102, 323, 12645, 382, 34764, 565, 13513, 55695, 198, 677, 74014, 6, 364, 53060, 6, 364, 811, 4176, 13042, 28431, 6, 364, 32056, 1248, 364, 35269, 804, 6, 364, 811, 4176, 13042, 6, 364, 79186, 6, 364, 34484, 1248, 364, 35269, 1663, 5068, 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 ]
[ 476, 5662, 13042, 553, 24231, 279, 23850, 4709, 389, 279, 11457, 34734, 408, 65174, 3487, 315, 264, 10001, 6172, 508, 34415, 402, 263, 1842, 452, 2572, 220, 17, 15, 16, 16, 936, 758, 1039, 6358, 582, 1477, 429, 279, 29728, 13042, 304, 9124, 3082, 8700, 374, 16353, 311, 9124, 3082, 647, 19, 11, 18860, 458, 5263, 304, 4009, 1663, 5068, 304, 5080, 5866, 315, 279, 82519, 9124, 28922, 13, 1205, 4411, 419, 1102, 10868, 264, 3598, 42191, 25, 432, 374, 279, 1156, 6832, 12111, 582, 614, 1730, 429, 18644, 264, 13042, 389, 1346, 448, 8700, 389, 419, 3383, 315, 28439, 16829, 13, 1205, 3900, 429, 419, 28431, 686, 8683, 438, 458, 2856, 90056, 1459, 369, 4623, 43718, 1948, 43613, 14257, 304, 34102, 323, 12645, 382, 34764, 565, 13513, 55695, 198, 677, 74014, 6, 364, 53060, 6, 364, 811, 4176, 13042, 28431, 6, 364, 32056, 1248, 364, 35269, 804, 6, 364, 811, 4176, 13042, 6, 364, 79186, 6, 364, 34484, 1248, 364, 35269, 1663, 5068, 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
[ 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, 60477, 78046, 61622, 323, 1181, 39288, 389, 30317, 323, 319, 262, 12960, 271, 34764, 565, 13513, 8883, 198, 32, 1376, 16287, 369, 279, 4401, 315, 7373, 6832, 43613, 374, 862, 16460, 323, 12313, 311, 43613, 582, 1414, 311, 387, 7373, 13, 758, 5810, 47969, 30476, 11, 279, 3942, 702, 19334, 279, 8109, 438, 264, 2530, 315, 19760, 323, 438, 458, 17995, 28431, 369, 2393, 13, 4354, 11, 432, 702, 537, 1012, 3204, 311, 5961, 1273, 4009, 1663, 6832, 25185, 5961, 2348, 279, 43613, 12985, 304, 29728, 5942, 13, 5692, 11, 582, 29614, 264, 501, 28431, 369, 9124, 43613, 389, 892, 582, 614, 5961, 12510, 279, 29728, 13042, 304, 5248, 9124, 82519, 5671, 304, 8978, 19659, 320, 1314, 4849, 821, 504, 508, 44, 1630, 1630, 1842, 452, 2572, 220, 17, 15, 16, 17, 9719, 323, 389, 892, 894, 6366, 11129, 12111, 429, 18644, 264, 4565, 3550, 646, 387, 12510, 13, 576, 28431, 10953, 279, 26279, 315, 279, 29728, 476, 5662, 13042, 553, 24231, 279, 23850, 4709, 389, 279, 11457, 34734, 408, 65174, 3487, 315, 264, 10001, 6172, 508, 34415, 402, 263, 1842, 452, 2572, 220, 17, 15, 16, 16, 936, 758, 1039, 6358, 582, 1477, 429, 279, 29728, 13042, 304, 9124, 3082, 8700, 374, 16353, 311, 9124, 3082, 647, 19, 11, 18860, 458, 5263, 304, 4009, 1663, 5068, 304, 5080, 5866, 315, 279, 82519, 9124, 28922, 13, 1205, 4411, 419, 1102, 10868, 264, 3598, 42191, 25, 432, 374, 279, 1156, 6832, 12111, 582, 614, 1730, 429, 18644, 264, 13042, 389, 1346, 448, 8700, 389, 419, 3383, 315, 28439, 16829, 13, 1205, 3900, 429, 419, 28431, 686, 8683, 438, 458, 2856, 90056, 1459, 369, 4623, 43718, 1948, 43613, 14257, 304, 34102, 323, 12645, 382, 34764, 565, 13513, 55695, 198, 677, 74014, 6, 364, 53060, 6, 364, 811, 4176, 13042, 28431, 6, 364, 32056, 1248, 364, 35269, 804, 6, 364, 811, 4176, 13042, 6, 364, 79186, 6, 364, 34484, 1248, 364, 35269, 1663, 5068, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 84971, 287, 4565, 6832, 2348, 29728, 43613, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 28431, 369, 37563, 4565, 6832, 25185, 553, 26297, 862, 5068, 311, 7401, 19659, 8700, 323, 647, 19, 33213, 1667, 264, 11514, 10337, 323, 10001, 6358, 1714, 13, 576, 5486, 23497, 389, 3383, 5504, 8367, 4009, 1663, 6832, 323, 21314, 279, 4650, 315, 5538, 55712, 278, 14155, 311, 52020, 29728, 5068, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 8552, 288, 4565, 6832, 25185, 553, 26297, 862, 5068, 389, 458, 1633, 23850, 3383, 311, 429, 315, 7401, 19659, 8700, 323, 647, 19, 33213, 13, 576, 975, 5707, 264, 501, 10337, 315, 5335, 11, 458, 6358, 1714, 369, 26297, 4565, 43613, 3118, 389, 10001, 6358, 11, 323, 29728, 4565, 22879, 12433, 504, 647, 19, 323, 8700, 33213, 304, 2033, 311, 1493, 5335, 13, 576, 12014 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 60477, 78046, 61622, 323, 1181, 39288, 389, 30317, 323, 319, 262, 12960, 271, 34764, 565, 13513, 8883, 198, 32, 1376, 16287, 369, 279, 4401, 315, 7373, 6832, 43613, 374, 862, 16460, 323, 12313, 311, 43613, 582, 1414, 311, 387, 7373, 13, 758, 5810, 47969, 30476, 11, 279, 3942, 702, 19334, 279, 8109, 438, 264, 2530, 315, 19760, 323, 438, 458, 17995, 28431, 369, 2393, 13, 4354, 11, 432, 702, 537, 1012, 3204, 311, 5961, 1273, 4009, 1663, 6832, 25185, 5961, 2348, 279, 43613, 12985, 304, 29728, 5942, 13, 5692, 11, 582, 29614, 264, 501, 28431, 369, 9124, 43613, 389, 892, 582, 614, 5961, 12510, 279, 29728, 13042, 304, 5248, 9124, 82519, 5671, 304, 8978, 19659, 320, 1314, 4849, 821, 504, 508, 44, 1630, 1630, 1842, 452, 2572, 220, 17, 15, 16, 17, 9719, 323, 389, 892, 894, 6366, 11129, 12111, 429, 18644, 264, 4565, 3550, 646, 387, 12510, 13, 576, 28431, 10953, 279, 26279, 315, 279, 29728, 476, 5662, 13042, 553, 24231, 279, 23850, 4709, 389, 279, 11457, 34734, 408, 65174, 3487, 315, 264, 10001, 6172, 508, 34415, 402, 263, 1842, 452, 2572, 220, 17, 15, 16, 16, 936, 758, 1039, 6358, 582, 1477, 429, 279, 29728, 13042, 304, 9124, 3082, 8700, 374, 16353, 311, 9124, 3082, 647, 19, 11, 18860, 458, 5263, 304, 4009, 1663, 5068, 304, 5080, 5866, 315, 279, 82519, 9124, 28922, 13, 1205, 4411, 419, 1102, 10868, 264, 3598, 42191, 25, 432, 374, 279, 1156, 6832, 12111, 582, 614, 1730, 429, 18644, 264, 13042, 389, 1346, 448, 8700, 389, 419, 3383, 315, 28439, 16829, 13, 1205, 3900, 429, 419, 28431, 686, 8683, 438, 458, 2856, 90056, 1459, 369, 4623, 43718, 1948, 43613, 14257, 304, 34102, 323, 12645, 382, 34764, 565, 13513, 55695, 198, 677, 74014, 6, 364, 53060, 6, 364, 811, 4176, 13042, 28431, 6, 364, 32056, 1248, 364, 35269, 804, 6, 364, 811, 4176, 13042, 6, 364, 79186, 6, 364, 34484, 1248, 364, 35269, 1663, 5068, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 84971, 287, 4565, 6832, 2348, 29728, 43613, 271, 34764, 565, 10294, 21517, 198, 785, 5567, 38919, 264, 28431, 369, 37563, 4565, 6832, 25185, 553, 26297, 862, 5068, 311, 7401, 19659, 8700, 323, 647, 19, 33213, 1667, 264, 11514, 10337, 323, 10001, 6358, 1714, 13, 576, 5486, 23497, 389, 3383, 5504, 8367, 4009, 1663, 6832, 323, 21314, 279, 4650, 315, 5538, 55712, 278, 14155, 311, 52020, 29728, 5068, 382, 34764, 565, 10294, 8883, 198, 1986, 5567, 8552, 288, 4565, 6832, 25185, 553, 26297, 862, 5068, 389, 458, 1633, 23850, 3383, 311, 429, 315, 7401, 19659, 8700, 323, 647, 19, 33213, 13, 576, 975, 5707, 264, 501, 10337, 315, 5335, 11, 458, 6358, 1714, 369, 26297, 4565, 43613, 3118, 389, 10001, 6358, 11, 323, 29728, 4565, 22879, 12433, 504, 647, 19, 323, 8700, 33213, 304, 2033, 311, 1493, 5335, 13, 576, 12014 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511 ]
512
[ 15442, 264, 1372, 315, 3213, 4009, 1663, 6832, 25185, 11, 323, 10542, 264, 3213, 5486, 3118, 389, 5538, 55712, 278, 14155, 700, 712, 9807, 647, 19, 323, 8700, 33213, 13, 576, 5567, 374, 279, 1156, 315, 1181, 3093, 304, 8241, 4135, 7375, 311, 15442, 501, 43613, 2348, 1550, 2188, 29728, 9124, 43613, 13, 1084, 594, 12313, 1714, 43542, 504, 4867, 975, 553, 23890, 4009, 1663, 6832, 448, 5091, 311, 264, 3383, 11, 323, 16085, 374, 2686, 27061, 553, 13581, 3383, 12, 404, 97573, 877, 3530, 1721, 12784, 550, 315, 279, 29728, 2033, 13, 576, 10001, 6358, 18266, 17064, 3425, 29728, 323, 20443, 821, 646, 11075, 4428, 23850, 5068, 369, 264, 2661, 1614, 23094, 11, 714, 419, 374, 264, 8651, 3405, 504, 10161, 3425, 279, 29728, 13042, 374, 4428, 311, 279, 20443, 13042, 382, 34764, 565, 10294, 19216, 198, 47586, 323, 11514, 4522, 448, 2797, 4650, 369, 5421, 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 ]
[ 15442, 264, 1372, 315, 3213, 4009, 1663, 6832, 25185, 11, 323, 10542, 264, 3213, 5486, 3118, 389, 5538, 55712, 278, 14155, 700, 712, 9807, 647, 19, 323, 8700, 33213, 13, 576, 5567, 374, 279, 1156, 315, 1181, 3093, 304, 8241, 4135, 7375, 311, 15442, 501, 43613, 2348, 1550, 2188, 29728, 9124, 43613, 13, 1084, 594, 12313, 1714, 43542, 504, 4867, 975, 553, 23890, 4009, 1663, 6832, 448, 5091, 311, 264, 3383, 11, 323, 16085, 374, 2686, 27061, 553, 13581, 3383, 12, 404, 97573, 877, 3530, 1721, 12784, 550, 315, 279, 29728, 2033, 13, 576, 10001, 6358, 18266, 17064, 3425, 29728, 323, 20443, 821, 646, 11075, 4428, 23850, 5068, 369, 264, 2661, 1614, 23094, 11, 714, 419, 374, 264, 8651, 3405, 504, 10161, 3425, 279, 29728, 13042, 374, 4428, 311, 279, 20443, 13042, 382, 34764, 565, 10294, 19216, 198, 47586, 323, 11514, 4522, 448, 2797, 4650, 369, 5421, 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
[ 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, 43, 473, 315, 10219, 389, 4867, 23490, 3347, 3795, 1180, 17206, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 9741, 4756, 279, 5567, 369, 38313, 10219, 315, 4867, 975, 389, 23490, 3347, 3795, 1180, 43613, 11, 892, 702, 1012, 41717, 19476, 304, 5257, 37597, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 1558, 537, 38944, 4263, 279, 16376, 4867, 17206, 389, 23490, 3347, 3795, 1180, 43613, 11, 892, 12713, 1182, 311, 6788, 4278, 323, 5646, 1657, 3213, 7822, 13, 4220, 4278, 4009, 821, 438, 36824, 27459, 315, 2205, 3347, 3795, 1180, 35195, 11, 1741, 438, 304, 5147, 1306, 58354, 11, 17105, 4771, 70547, 11, 323, 23490, 13482, 10822, 13, 22406, 11, 72829, 6832, 15689, 3545, 1614, 821, 1667, 23490, 13482, 14389, 11, 892, 525, 48088, 23490, 3347, 3795, 1180, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 66309, 323, 38313, 10219, 315, 4867, 975, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 6853, 315, 10219, 389, 4867, 975, 624, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 6689, 43819, 5465, 1212, 8774, 12041, 10911, 1180, 2688, 60574, 271, 34764, 565, 13513, 8883, 198, 6689, 56204, 374, 264, 4185, 5392, 304, 5662, 6832, 369, 4752, 13382, 19639, 4119, 369, 27682, 5942, 11, 1467, 11673, 11, 323, 6366, 11129, 13, 362, 45841, 24335, 304, 49353, 6172, 9848, 96376, 374, 429, 279, 25244, 13166, 6172, 374, 315, 3347, 3795, 1180, 13, 1205, 29614, 264, 501, 6172, 56204, 1614, 1380, 582, 9658, 4518, 429, 279, 6172, 374, 1172, 23490, 315, 3347, 3795, 1180, 11, 6388, 311, 264, 13042, 315, 279, 13166, 6172, 438, 264, 36824, 2629, 315, 3347, 3795, 1180, 35195, 13, 1205, 23643, 279, 13403, 315, 279, 10981, 2205, 3347, 3795, 1180, 33479, 382, 34764, 565, 13513, 55695, 198, 677, 2438, 6, 364, 395, 60574, 6172, 56204, 6, 364, 5481, 2771, 6172, 1248, 364, 18110, 56204, 6, 364, 5464, 5392, 6, 364, 32056, 6832, 1248, 364, 35921, 349, 19639, 4119, 6, 364, 66589, 367, 5942, 6, 364, 1318, 11673, 1248, 364, 43111, 11129, 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 ]
[ 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, 43, 473, 315, 10219, 389, 4867, 23490, 3347, 3795, 1180, 17206, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 9741, 4756, 279, 5567, 369, 38313, 10219, 315, 4867, 975, 389, 23490, 3347, 3795, 1180, 43613, 11, 892, 702, 1012, 41717, 19476, 304, 5257, 37597, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 1558, 537, 38944, 4263, 279, 16376, 4867, 17206, 389, 23490, 3347, 3795, 1180, 43613, 11, 892, 12713, 1182, 311, 6788, 4278, 323, 5646, 1657, 3213, 7822, 13, 4220, 4278, 4009, 821, 438, 36824, 27459, 315, 2205, 3347, 3795, 1180, 35195, 11, 1741, 438, 304, 5147, 1306, 58354, 11, 17105, 4771, 70547, 11, 323, 23490, 13482, 10822, 13, 22406, 11, 72829, 6832, 15689, 3545, 1614, 821, 1667, 23490, 13482, 14389, 11, 892, 525, 48088, 23490, 3347, 3795, 1180, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 66309, 323, 38313, 10219, 315, 4867, 975, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 6853, 315, 10219, 389, 4867, 975, 624, 62986, 2, 13513, 8085, 198, 565, 13513, 3990, 198, 12146, 32, 14137, 74592, 271, 34764, 565, 13513, 10869, 198, 6689, 43819, 5465, 1212, 8774, 12041, 10911, 1180, 2688, 60574, 271, 34764, 565, 13513, 8883, 198, 6689, 56204, 374, 264, 4185, 5392, 304, 5662, 6832, 369, 4752, 13382, 19639, 4119, 369, 27682, 5942, 11, 1467, 11673, 11, 323, 6366, 11129, 13, 362, 45841, 24335, 304, 49353, 6172, 9848, 96376, 374, 429, 279, 25244, 13166, 6172, 374, 315, 3347, 3795, 1180, 13, 1205, 29614, 264, 501, 6172, 56204, 1614, 1380, 582, 9658, 4518, 429, 279, 6172, 374, 1172, 23490, 315, 3347, 3795, 1180, 11, 6388, 311, 264, 13042, 315, 279, 13166, 6172, 438, 264, 36824, 2629, 315, 3347, 3795, 1180, 35195, 13, 1205, 23643, 279, 13403, 315, 279, 10981, 2205, 3347, 3795, 1180, 33479, 382, 34764, 565, 13513, 55695, 198, 677, 2438, 6, 364, 395, 60574, 6172, 56204, 6, 364, 5481, 2771, 6172, 1248, 364, 18110, 56204, 6, 364, 5464, 5392, 6, 364, 32056, 6832, 1248, 364, 35921, 349, 19639, 4119, 6, 364, 66589, 367, 5942, 6, 364, 1318, 11673, 1248, 364, 43111, 11129, 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
[ 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, 6689, 43819, 5465, 1212, 8774, 12041, 10911, 1180, 2688, 60574, 271, 34764, 565, 13513, 8883, 198, 6689, 56204, 374, 264, 4185, 5392, 304, 5662, 6832, 369, 4752, 13382, 19639, 4119, 369, 27682, 5942, 11, 1467, 11673, 11, 323, 6366, 11129, 13, 362, 45841, 24335, 304, 49353, 6172, 9848, 96376, 374, 429, 279, 25244, 13166, 6172, 374, 315, 3347, 3795, 1180, 13, 1205, 29614, 264, 501, 6172, 56204, 1614, 1380, 582, 9658, 4518, 429, 279, 6172, 374, 1172, 23490, 315, 3347, 3795, 1180, 11, 6388, 311, 264, 13042, 315, 279, 13166, 6172, 438, 264, 36824, 2629, 315, 3347, 3795, 1180, 35195, 13, 1205, 23643, 279, 13403, 315, 279, 10981, 2205, 3347, 3795, 1180, 33479, 382, 34764, 565, 13513, 55695, 198, 677, 2438, 6, 364, 395, 60574, 6172, 56204, 6, 364, 5481, 2771, 6172, 1248, 364, 18110, 56204, 6, 364, 5464, 5392, 6, 364, 32056, 6832, 1248, 364, 35921, 349, 19639, 4119, 6, 364, 66589, 367, 5942, 6, 364, 1318, 11673, 1248, 364, 43111, 11129, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43, 473, 315, 10219, 389, 4867, 23490, 3347, 3795, 1180, 17206, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 9741, 4756, 279, 5567, 369, 38313, 10219, 315, 4867, 975, 389, 23490, 3347, 3795, 1180, 43613, 11, 892, 702, 1012, 41717, 19476, 304, 5257, 37597, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 1558, 537, 38944, 4263, 279, 16376, 4867, 17206, 389, 23490, 3347, 3795, 1180, 43613, 11, 892, 12713, 1182, 311, 6788, 4278, 323, 5646, 1657, 3213, 7822, 13, 4220, 4278, 4009, 821, 438, 36824, 27459, 315, 2205, 3347, 3795, 1180, 35195, 11, 1741, 438, 304, 5147, 1306, 58354, 11, 17105, 4771, 70547, 11, 323, 23490, 13482, 10822, 13, 22406, 11, 72829, 6832, 15689, 3545, 1614, 821, 1667, 23490, 13482, 14389, 11, 892, 525, 48088, 23490, 3347, 3795, 1180, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 66309, 323, 38313, 10219, 315, 4867, 975, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 6853, 315, 10219, 389, 4867, 975, 624, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 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, 6689, 43819, 5465, 1212, 8774, 12041, 10911, 1180, 2688, 60574, 271, 34764, 565, 13513, 8883, 198, 6689, 56204, 374, 264, 4185, 5392, 304, 5662, 6832, 369, 4752, 13382, 19639, 4119, 369, 27682, 5942, 11, 1467, 11673, 11, 323, 6366, 11129, 13, 362, 45841, 24335, 304, 49353, 6172, 9848, 96376, 374, 429, 279, 25244, 13166, 6172, 374, 315, 3347, 3795, 1180, 13, 1205, 29614, 264, 501, 6172, 56204, 1614, 1380, 582, 9658, 4518, 429, 279, 6172, 374, 1172, 23490, 315, 3347, 3795, 1180, 11, 6388, 311, 264, 13042, 315, 279, 13166, 6172, 438, 264, 36824, 2629, 315, 3347, 3795, 1180, 35195, 13, 1205, 23643, 279, 13403, 315, 279, 10981, 2205, 3347, 3795, 1180, 33479, 382, 34764, 565, 13513, 55695, 198, 677, 2438, 6, 364, 395, 60574, 6172, 56204, 6, 364, 5481, 2771, 6172, 1248, 364, 18110, 56204, 6, 364, 5464, 5392, 6, 364, 32056, 6832, 1248, 364, 35921, 349, 19639, 4119, 6, 364, 66589, 367, 5942, 6, 364, 1318, 11673, 1248, 364, 43111, 11129, 4432, 62986, 2, 10294, 8085, 198, 565, 10294, 3990, 198, 12146, 32, 80051, 271, 34764, 565, 10294, 10869, 198, 43, 473, 315, 10219, 389, 4867, 23490, 3347, 3795, 1180, 17206, 271, 34764, 565, 10294, 21517, 198, 785, 3395, 9741, 4756, 279, 5567, 369, 38313, 10219, 315, 4867, 975, 389, 23490, 3347, 3795, 1180, 43613, 11, 892, 702, 1012, 41717, 19476, 304, 5257, 37597, 382, 34764, 565, 10294, 8883, 198, 785, 5567, 1558, 537, 38944, 4263, 279, 16376, 4867, 17206, 389, 23490, 3347, 3795, 1180, 43613, 11, 892, 12713, 1182, 311, 6788, 4278, 323, 5646, 1657, 3213, 7822, 13, 4220, 4278, 4009, 821, 438, 36824, 27459, 315, 2205, 3347, 3795, 1180, 35195, 11, 1741, 438, 304, 5147, 1306, 58354, 11, 17105, 4771, 70547, 11, 323, 23490, 13482, 10822, 13, 22406, 11, 72829, 6832, 15689, 3545, 1614, 821, 1667, 23490, 13482, 14389, 11, 892, 525, 48088, 23490, 3347, 3795, 1180, 382, 34764, 565, 10294, 19216, 198, 78413, 11, 537, 3746, 3322, 4152, 311, 6853, 315, 66309, 323, 38313, 10219, 315, 4867, 975, 382, 34764, 565, 10294, 86324, 198, 40, 1079, 10875, 3654, 911, 279, 6853, 315, 10219, 389, 4867, 975, 624, 14374, 11176, 3008, 35768, 65287, 151643 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388 ]
389