Datasets:
ShiniChien
/
binhvq-news-dedup-filter-tokenize

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
2
4.1k
attention_mask
listlengths
2
4.1k
labels
listlengths
2
4.1k
position_ids
listlengths
2
4.1k
length
int64
2
4.1k
[ 40225, 84300, 83, 2162, 78, 128406, 128441, 11, 129455, 7491, 89218, 88, 69086, 128331, 128292, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129029, 133218, 129677, 47742, 50327, 125017, 128425, 128456, 130097, 78228, 133827, 133218, 129677, 47742, 50327, 125017, 128425, 11, 78228, 128275, 128331, 98127, 128854, 11, 126341, 128502, 128336, 128283, 14854, 84300, 83, 2162, 78, 128406, 128265, 128441, 11, 129455, 7491, 89218, 88, 69086, 128331, 128292, 94576, 128300, 220, 16, 14, 21, 14, 17, 15, 16, 17, 128263, 128300, 220, 18, 15, 14, 24, 14, 17, 15, 16, 17, 624, 785, 78, 128270, 11, 78228, 128666, 128444, 128360, 132668, 128818, 62029, 128400, 129023, 129677, 11, 135593, 129045, 128441, 11, 129455, 7491, 89218, 88, 2600, 128292, 97832, 11, 97832, 97483, 69086, 78228, 128623, 128285, 128703, 128626, 128350, 130192, 11, 130906, 131774, 11, 28649, 69611, 97832, 128623, 62029, 128394, 481, 128292, 97832, 11, 97832, 97483, 13, 126778, 128502, 78228, 128623, 128285, 296, 16095, 259, 20868, 11, 15122, 129866, 11, 128403, 128319, 128250, 128289, 135593, 129045, 128273, 128457, 128573, 92430, 24790, 59735, 128275, 128331, 624, 3357, 16685, 128285, 1319, 644, 489, 125017, 129556, 130780, 11, 129984, 128285, 128377, 130780, 23165, 2143, 128603, 128265, 128419, 129916, 128353, 128284, 7491, 89218, 88, 130641, 130224, 69086, 128292, 97832, 11, 97832, 97483, 26, 126341, 128502, 128448, 132625, 131484, 79668, 128424, 128370, 11, 129888, 128356, 92430, 24790, 59735, 128292, 97832, 11, 97832, 97483, 11, 132356, 128366, 11, 128275, 129023, 47742, 128310, 128394, 28776, 128542, 922, 276, 128263, 62029, 128400, 128441, 11, 129455, 7491, 89218, 88, 59735, 128275, 128331, 624, 40225, 124631, 128589, 11, 129029, 128498, 128451, 78228, 128331, 128360, 126341, 128502, 131797, 128738, 129700, 94994, 131535, 97832, 11, 131797, 128738, 129700, 128333, 128880, 2600, 128292, 97832, 11, 97832, 97483, 26, 129522, 9586, 11, 130985, 128990, 7777, 126652, 128452, 128289, 128353, 128284, 7491, 89218, 88, 47742, 130985, 128990, 14854, 94313, 128415, 94994, 128360, 128422, 128421, 128250, 128292, 97832, 11, 97832, 97483, 131763, 435, 6362, 134814, 11, 128362, 128283, 128292, 97832, 11, 97832, 97483, 128353, 128284, 130641, 130224, 128380, 7491, 89218, 88, 624, 51, 60257, 128502, 2600, 128292, 97832, 11, 97832, 97483, 11, 128553, 128254, 11, 128666, 128444, 129212, 6592, 128403, 47742, 342, 22516, 220, 124603, 61328, 141305, 53037, 128542, 922, 276, 128263, 139091, 132864, 7491, 89218, 88, 47742, 128761, 129541, 128441, 129455, 7491, 89218, 88, 86139, 128278, 128290, 128292, 220, 17, 15, 16, 17, 481, 220, 17, 15, 16, 18, 624, 34, 29341, 128275, 128331, 128268, 128360, 131628, 128319, 137277, 521, 124760, 128250, 128704, 128675, 11, 94995, 128890, 79668, 129270, 128356, 128292, 97832, 11, 97832, 97483, 69086, 137789, 131840, 136252, 13, 1599, 124317, 128855, 129991, 128331, 129023, 129677, 136382, 128818, 11, 128425, 128334, 129065, 79668, 128292, 97832, 11, 97832, 97483, 11, 132356, 128366, 128275, 129023, 128454, 132278, 270, 309, 94995, 86139, 78228, 128623, 128285, 129260, 133043, 128366, 11, 128683, 128781, 11, 128254, 270, 3441, 131763, 130314, 2162, 78, 129169, 128480, 259, 20868, 129719, 11, 131282, 71800, 139091, 132864, 7491, 89218, 88, 624, 26067, 71, 1163, 124411, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 84300, 83, 2162, 78, 128406, 128441, 11, 129455, 7491, 89218, 88, 69086, 128331, 128292, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129029, 133218, 129677, 47742, 50327, 125017, 128425, 128456, 130097, 78228, 133827, 133218, 129677, 47742, 50327, 125017, 128425, 11, 78228, 128275, 128331, 98127, 128854, 11, 126341, 128502, 128336, 128283, 14854, 84300, 83, 2162, 78, 128406, 128265, 128441, 11, 129455, 7491, 89218, 88, 69086, 128331, 128292, 94576, 128300, 220, 16, 14, 21, 14, 17, 15, 16, 17, 128263, 128300, 220, 18, 15, 14, 24, 14, 17, 15, 16, 17, 624, 785, 78, 128270, 11, 78228, 128666, 128444, 128360, 132668, 128818, 62029, 128400, 129023, 129677, 11, 135593, 129045, 128441, 11, 129455, 7491, 89218, 88, 2600, 128292, 97832, 11, 97832, 97483, 69086, 78228, 128623, 128285, 128703, 128626, 128350, 130192, 11, 130906, 131774, 11, 28649, 69611, 97832, 128623, 62029, 128394, 481, 128292, 97832, 11, 97832, 97483, 13, 126778, 128502, 78228, 128623, 128285, 296, 16095, 259, 20868, 11, 15122, 129866, 11, 128403, 128319, 128250, 128289, 135593, 129045, 128273, 128457, 128573, 92430, 24790, 59735, 128275, 128331, 624, 3357, 16685, 128285, 1319, 644, 489, 125017, 129556, 130780, 11, 129984, 128285, 128377, 130780, 23165, 2143, 128603, 128265, 128419, 129916, 128353, 128284, 7491, 89218, 88, 130641, 130224, 69086, 128292, 97832, 11, 97832, 97483, 26, 126341, 128502, 128448, 132625, 131484, 79668, 128424, 128370, 11, 129888, 128356, 92430, 24790, 59735, 128292, 97832, 11, 97832, 97483, 11, 132356, 128366, 11, 128275, 129023, 47742, 128310, 128394, 28776, 128542, 922, 276, 128263, 62029, 128400, 128441, 11, 129455, 7491, 89218, 88, 59735, 128275, 128331, 624, 40225, 124631, 128589, 11, 129029, 128498, 128451, 78228, 128331, 128360, 126341, 128502, 131797, 128738, 129700, 94994, 131535, 97832, 11, 131797, 128738, 129700, 128333, 128880, 2600, 128292, 97832, 11, 97832, 97483, 26, 129522, 9586, 11, 130985, 128990, 7777, 126652, 128452, 128289, 128353, 128284, 7491, 89218, 88, 47742, 130985, 128990, 14854, 94313, 128415, 94994, 128360, 128422, 128421, 128250, 128292, 97832, 11, 97832, 97483, 131763, 435, 6362, 134814, 11, 128362, 128283, 128292, 97832, 11, 97832, 97483, 128353, 128284, 130641, 130224, 128380, 7491, 89218, 88, 624, 51, 60257, 128502, 2600, 128292, 97832, 11, 97832, 97483, 11, 128553, 128254, 11, 128666, 128444, 129212, 6592, 128403, 47742, 342, 22516, 220, 124603, 61328, 141305, 53037, 128542, 922, 276, 128263, 139091, 132864, 7491, 89218, 88, 47742, 128761, 129541, 128441, 129455, 7491, 89218, 88, 86139, 128278, 128290, 128292, 220, 17, 15, 16, 17, 481, 220, 17, 15, 16, 18, 624, 34, 29341, 128275, 128331, 128268, 128360, 131628, 128319, 137277, 521, 124760, 128250, 128704, 128675, 11, 94995, 128890, 79668, 129270, 128356, 128292, 97832, 11, 97832, 97483, 69086, 137789, 131840, 136252, 13, 1599, 124317, 128855, 129991, 128331, 129023, 129677, 136382, 128818, 11, 128425, 128334, 129065, 79668, 128292, 97832, 11, 97832, 97483, 11, 132356, 128366, 128275, 129023, 128454, 132278, 270, 309, 94995, 86139, 78228, 128623, 128285, 129260, 133043, 128366, 11, 128683, 128781, 11, 128254, 270, 3441, 131763, 130314, 2162, 78, 129169, 128480, 259, 20868, 129719, 11, 131282, 71800, 139091, 132864, 7491, 89218, 88, 624, 26067, 71, 1163, 124411, 624, 151645 ]
[ 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
[ 1001, 42504, 131943, 130623, 129414, 47742, 134634, 129311, 128249, 65526, 132356, 128366, 131400, 128854, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 129212, 78228, 128784, 128333, 130623, 129414, 11, 134634, 129311, 47742, 132382, 129414, 128249, 65526, 132356, 128366, 131400, 128854, 129281, 129029, 130303, 24790, 47742, 141901, 92430, 11, 138737, 61758, 129645, 128301, 128324, 29974, 47742, 129018, 133314, 1163, 35928, 624, 34, 50483, 128254, 11, 128272, 3406, 88, 51580, 128333, 220, 17, 15, 15, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 130623, 129414, 128436, 136290, 135196, 131039, 11, 356, 92704, 129528, 356, 92704, 11401, 125115, 92430, 11, 129029, 130303, 24790, 47742, 141901, 92430, 129566, 128502, 132496, 129528, 129029, 130303, 24790, 47742, 141901, 92430, 624, 51, 37059, 3406, 88, 51580, 128333, 220, 17, 15, 22, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 130623, 129414, 128436, 128984, 13509, 1527, 71, 11, 647, 50483, 129528, 647, 50483, 126341, 128502, 132356, 128366, 11, 138737, 61758, 129645, 128301, 128324, 29974, 129566, 128502, 133761, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128324, 29974, 624, 51, 37059, 3406, 88, 51580, 128333, 220, 16, 24, 24, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 134634, 129311, 128289, 134311, 130623, 39339, 128502, 128367, 133761, 130085, 131443, 73061, 8065, 129018, 133314, 1163, 35928, 129414, 128880, 220, 17, 15, 16, 16, 12, 220, 17, 15, 16, 21, 128421, 128250, 128436, 128521, 328, 125093, 130717, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 133314, 1163, 35928, 624, 51, 37059, 3406, 88, 51580, 128333, 220, 16, 24, 21, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 134634, 129311, 128289, 134311, 130623, 39339, 128502, 98896, 142394, 97483, 73061, 8065, 129018, 133314, 1163, 35928, 129414, 128880, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 21, 128421, 128250, 128436, 132644, 142226, 663, 124933, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129393, 79584, 11, 137295, 133796, 128534, 458, 350, 127845, 624, 40225, 124483, 128327, 11, 128272, 3406, 88, 51580, 128333, 220, 16, 24, 19, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 134634, 129311, 128289, 132382, 129414, 128502, 98896, 142394, 97483, 73061, 8065, 129018, 133314, 1163, 35928, 129414, 128880, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 21, 128421, 128250, 128436, 131699, 128534, 422, 2185, 11, 59123, 92599, 131943, 11, 129031, 137295, 133796, 128534, 458, 350, 127845, 11, 79668, 131840, 62029, 128400, 133459, 131840, 305, 125672, 279, 78, 128751, 128368, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 42504, 131943, 130623, 129414, 47742, 134634, 129311, 128249, 65526, 132356, 128366, 131400, 128854, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 129212, 78228, 128784, 128333, 130623, 129414, 11, 134634, 129311, 47742, 132382, 129414, 128249, 65526, 132356, 128366, 131400, 128854, 129281, 129029, 130303, 24790, 47742, 141901, 92430, 11, 138737, 61758, 129645, 128301, 128324, 29974, 47742, 129018, 133314, 1163, 35928, 624, 34, 50483, 128254, 11, 128272, 3406, 88, 51580, 128333, 220, 17, 15, 15, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 130623, 129414, 128436, 136290, 135196, 131039, 11, 356, 92704, 129528, 356, 92704, 11401, 125115, 92430, 11, 129029, 130303, 24790, 47742, 141901, 92430, 129566, 128502, 132496, 129528, 129029, 130303, 24790, 47742, 141901, 92430, 624, 51, 37059, 3406, 88, 51580, 128333, 220, 17, 15, 22, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 130623, 129414, 128436, 128984, 13509, 1527, 71, 11, 647, 50483, 129528, 647, 50483, 126341, 128502, 132356, 128366, 11, 138737, 61758, 129645, 128301, 128324, 29974, 129566, 128502, 133761, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128324, 29974, 624, 51, 37059, 3406, 88, 51580, 128333, 220, 16, 24, 24, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 134634, 129311, 128289, 134311, 130623, 39339, 128502, 128367, 133761, 130085, 131443, 73061, 8065, 129018, 133314, 1163, 35928, 129414, 128880, 220, 17, 15, 16, 16, 12, 220, 17, 15, 16, 21, 128421, 128250, 128436, 128521, 328, 125093, 130717, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 133314, 1163, 35928, 624, 51, 37059, 3406, 88, 51580, 128333, 220, 16, 24, 21, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 134634, 129311, 128289, 134311, 130623, 39339, 128502, 98896, 142394, 97483, 73061, 8065, 129018, 133314, 1163, 35928, 129414, 128880, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 21, 128421, 128250, 128436, 132644, 142226, 663, 124933, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129393, 79584, 11, 137295, 133796, 128534, 458, 350, 127845, 624, 40225, 124483, 128327, 11, 128272, 3406, 88, 51580, 128333, 220, 16, 24, 19, 45274, 40225, 9285, 51, 70, 1154, 130390, 131943, 129591, 130388, 134634, 129311, 128289, 132382, 129414, 128502, 98896, 142394, 97483, 73061, 8065, 129018, 133314, 1163, 35928, 129414, 128880, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 21, 128421, 128250, 128436, 131699, 128534, 422, 2185, 11, 59123, 92599, 131943, 11, 129031, 137295, 133796, 128534, 458, 350, 127845, 11, 79668, 131840, 62029, 128400, 133459, 131840, 305, 125672, 279, 78, 128751, 128368, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 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
[ 49, 37678, 77, 135111, 129222, 142893, 128269, 133318, 1163, 2185, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129182, 129019, 136832, 435, 37678, 77, 135111, 128304, 293, 3441, 128626, 128906, 128269, 78228, 129018, 11, 64061, 128974, 127980, 128978, 133318, 1163, 2185, 13, 136067, 138028, 308, 124516, 78, 128448, 11, 134766, 128974, 489, 88602, 7777, 36745, 129222, 11386, 64, 142893, 11, 129054, 296, 88316, 130287, 126260, 128869, 595, 20658, 489, 524, 11, 259, 80459, 76, 129202, 11, 133691, 137968, 14854, 3165, 139548, 128290, 92105, 135595, 350, 143769, 220, 17, 15, 16, 18, 624, 45, 77354, 308, 352, 11, 29070, 451, 4223, 1163, 524, 126341, 128502, 136625, 11386, 64, 142893, 130668, 128272, 128448, 131699, 139329, 350, 61452, 11, 130393, 94576, 128448, 131479, 130751, 128263, 7777, 3202, 128379, 472, 88771, 138219, 135247, 128627, 78228, 128433, 11386, 64, 272, 124411, 11, 270, 57810, 294, 57810, 11, 11386, 64, 135342, 11, 81034, 2143, 131677, 133314, 128331, 220, 17, 14, 19, 11, 128253, 129407, 435, 124551, 856, 20868, 856, 124551, 63478, 489, 524, 128597, 79668, 128622, 128463, 274, 124312, 128285, 128425, 53037, 129019, 2600, 128310, 128394, 47742, 3845, 128351, 135902, 128492, 14854, 3165, 128290, 92105, 135595, 350, 143769, 624, 42074, 142893, 128272, 451, 4223, 1163, 524, 481, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 26068, 2350, 644, 624, 42074, 128351, 128301, 128703, 128745, 131999, 135902, 128338, 129480, 132686, 128272, 136625, 11386, 64, 142893, 29070, 451, 4223, 1163, 524, 481, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 26068, 2350, 644, 624, 51, 37059, 128974, 129057, 129935, 1527, 11, 22730, 126341, 128502, 129935, 136832, 135595, 350, 143769, 220, 17, 15, 16, 18, 128509, 133503, 128331, 46051, 128608, 293, 76294, 134782, 17275, 52551, 128266, 128406, 137429, 11, 128250, 78228, 129935, 11386, 64, 142893, 11, 425, 124415, 136832, 128378, 128251, 138816, 11, 129935, 61328, 444, 124483, 134400, 128568, 128720, 647, 11, 129935, 14854, 3165, 479, 22516, 135991, 11, 293, 124551, 1319, 77689, 11386, 64, 624, 35544, 51580, 129101, 128513, 128300, 142893, 128269, 128974, 129057, 129935, 1527, 481, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 26068, 2350, 644, 624, 39, 124489, 132710, 136832, 128272, 128974, 129057, 129935, 1527, 481, 220, 126884, 16719, 25, 647, 24430, 23354, 124489, 1527, 624, 1282, 644, 94994, 128270, 11, 29070, 129329, 135241, 128568, 128278, 128924, 128943, 128855, 130980, 128448, 11386, 64, 425, 125202, 50327, 125455, 131778, 129121, 128304, 220, 16, 13136, 11, 79668, 128904, 128367, 141580, 128451, 132720, 126339, 49886, 59735, 128251, 128394, 47742, 3845, 128351, 128310, 137789, 136832, 129057, 129045, 59735, 128394, 133952, 13, 133802, 129623, 128270, 128320, 28776, 128271, 390, 128448, 18698, 16719, 128688, 128266, 8943, 131571, 125440, 29070, 129329, 135241, 128570, 128317, 435, 92302, 435, 125726, 129222, 128865, 14854, 3165, 136832, 624, 40225, 77869, 11386, 64, 425, 125202, 50327, 125455, 128265, 131571, 481, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 26068, 2350, 644, 624, 1001, 26068, 2350, 644, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49, 37678, 77, 135111, 129222, 142893, 128269, 133318, 1163, 2185, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129182, 129019, 136832, 435, 37678, 77, 135111, 128304, 293, 3441, 128626, 128906, 128269, 78228, 129018, 11, 64061, 128974, 127980, 128978, 133318, 1163, 2185, 13, 136067, 138028, 308, 124516, 78, 128448, 11, 134766, 128974, 489, 88602, 7777, 36745, 129222, 11386, 64, 142893, 11, 129054, 296, 88316, 130287, 126260, 128869, 595, 20658, 489, 524, 11, 259, 80459, 76, 129202, 11, 133691, 137968, 14854, 3165, 139548, 128290, 92105, 135595, 350, 143769, 220, 17, 15, 16, 18, 624, 45, 77354, 308, 352, 11, 29070, 451, 4223, 1163, 524, 126341, 128502, 136625, 11386, 64, 142893, 130668, 128272, 128448, 131699, 139329, 350, 61452, 11, 130393, 94576, 128448, 131479, 130751, 128263, 7777, 3202, 128379, 472, 88771, 138219, 135247, 128627, 78228, 128433, 11386, 64, 272, 124411, 11, 270, 57810, 294, 57810, 11, 11386, 64, 135342, 11, 81034, 2143, 131677, 133314, 128331, 220, 17, 14, 19, 11, 128253, 129407, 435, 124551, 856, 20868, 856, 124551, 63478, 489, 524, 128597, 79668, 128622, 128463, 274, 124312, 128285, 128425, 53037, 129019, 2600, 128310, 128394, 47742, 3845, 128351, 135902, 128492, 14854, 3165, 128290, 92105, 135595, 350, 143769, 624, 42074, 142893, 128272, 451, 4223, 1163, 524, 481, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 26068, 2350, 644, 624, 42074, 128351, 128301, 128703, 128745, 131999, 135902, 128338, 129480, 132686, 128272, 136625, 11386, 64, 142893, 29070, 451, 4223, 1163, 524, 481, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 26068, 2350, 644, 624, 51, 37059, 128974, 129057, 129935, 1527, 11, 22730, 126341, 128502, 129935, 136832, 135595, 350, 143769, 220, 17, 15, 16, 18, 128509, 133503, 128331, 46051, 128608, 293, 76294, 134782, 17275, 52551, 128266, 128406, 137429, 11, 128250, 78228, 129935, 11386, 64, 142893, 11, 425, 124415, 136832, 128378, 128251, 138816, 11, 129935, 61328, 444, 124483, 134400, 128568, 128720, 647, 11, 129935, 14854, 3165, 479, 22516, 135991, 11, 293, 124551, 1319, 77689, 11386, 64, 624, 35544, 51580, 129101, 128513, 128300, 142893, 128269, 128974, 129057, 129935, 1527, 481, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 26068, 2350, 644, 624, 39, 124489, 132710, 136832, 128272, 128974, 129057, 129935, 1527, 481, 220, 126884, 16719, 25, 647, 24430, 23354, 124489, 1527, 624, 1282, 644, 94994, 128270, 11, 29070, 129329, 135241, 128568, 128278, 128924, 128943, 128855, 130980, 128448, 11386, 64, 425, 125202, 50327, 125455, 131778, 129121, 128304, 220, 16, 13136, 11, 79668, 128904, 128367, 141580, 128451, 132720, 126339, 49886, 59735, 128251, 128394, 47742, 3845, 128351, 128310, 137789, 136832, 129057, 129045, 59735, 128394, 133952, 13, 133802, 129623, 128270, 128320, 28776, 128271, 390, 128448, 18698, 16719, 128688, 128266, 8943, 131571, 125440, 29070, 129329, 135241, 128570, 128317, 435, 92302, 435, 125726, 129222, 128865, 14854, 3165, 136832, 624, 40225, 77869, 11386, 64, 425, 125202, 50327, 125455, 128265, 131571, 481, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 26068, 2350, 644, 624, 1001, 26068, 2350, 644, 624, 151645 ]
[ 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
[ 1001, 124315, 129572, 2600, 131500, 128750, 128421, 128250, 128275, 128278, 128379, 128301, 128703, 128272, 29070, 13, 129785, 131868, 92155, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129645, 128278, 128379, 128301, 128703, 128725, 79126, 143281, 129078, 128515, 131500, 128750, 220, 16, 128568, 2600, 125440, 128327, 342, 1103, 131500, 128750, 220, 20, 15, 128290, 128269, 29070, 13, 129785, 131868, 92155, 128291, 128327, 129572, 2600, 131500, 63478, 128439, 129078, 220, 20, 15, 128290, 130291, 94576, 128300, 28776, 128784, 128333, 2600, 131500, 128750, 128475, 130291, 94576, 128300, 129030, 342, 22516, 128750, 128273, 128336, 128384, 59735, 128376, 28776, 133024, 128918, 624, 40225, 124317, 37915, 128431, 128935, 98127, 128854, 59735, 130390, 131943, 129591, 130388, 128265, 128327, 342, 1103, 2600, 131500, 128750, 128421, 128250, 128275, 128278, 128379, 128301, 128703, 79126, 143281, 128515, 2600, 125440, 128327, 342, 1103, 131500, 128273, 128704, 129030, 64061, 128974, 129785, 131868, 92155, 13, 84137, 128270, 11, 128327, 129572, 128623, 128285, 59735, 126258, 128595, 342, 6023, 128273, 140288, 128977, 128370, 128278, 128379, 63478, 128334, 132314, 2600, 129831, 128319, 128250, 128327, 129572, 131500, 128750, 279, 78, 126370, 128333, 128272, 130406, 220, 20, 16, 128265, 128334, 132314, 126258, 128595, 128278, 128379, 128272, 141127, 128333, 65526, 220, 16, 15, 23, 14, 17, 15, 15, 21, 20290, 40225, 12, 7123, 126370, 128333, 25798, 128861, 47742, 128846, 128653, 61328, 128373, 128249, 65526, 128334, 59735, 136786, 137720, 128379, 13, 129932, 128974, 129785, 131868, 92155, 128336, 128283, 129315, 279, 78, 126370, 128333, 128283, 128373, 59735, 136786, 128750, 14854, 2143, 128265, 128289, 128439, 128327, 129572, 2600, 131500, 128750, 128421, 128250, 126341, 128502, 11, 58701, 128310, 128301, 128703, 128336, 128283, 126258, 128595, 128278, 128379, 128273, 128704, 129030, 13, 135433, 128327, 129572, 342, 22516, 128750, 11, 77374, 128515, 131500, 128750, 128421, 128250, 126258, 128595, 28776, 129054, 128761, 128750, 128465, 128282, 342, 22516, 128750, 128271, 128568, 47742, 128542, 922, 276, 128263, 128327, 129572, 342, 6023, 128273, 140288, 128977, 128370, 128278, 128379, 11, 130390, 131943, 342, 22516, 2600, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128427, 132630, 128250, 78228, 128322, 922, 276, 128542, 922, 276, 47742, 64061, 128974, 129785, 131868, 92155, 130693, 129156, 128456, 128415, 137261, 128513, 128486, 128784, 11, 128361, 130390, 131943, 128784, 128333, 13, 92155, 129938, 320, 143505, 25, 128534, 128683, 65526, 220, 17, 19, 17, 19, 14, 14903, 70, 15843, 29171, 4292, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 124315, 129572, 2600, 131500, 128750, 128421, 128250, 128275, 128278, 128379, 128301, 128703, 128272, 29070, 13, 129785, 131868, 92155, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129645, 128278, 128379, 128301, 128703, 128725, 79126, 143281, 129078, 128515, 131500, 128750, 220, 16, 128568, 2600, 125440, 128327, 342, 1103, 131500, 128750, 220, 20, 15, 128290, 128269, 29070, 13, 129785, 131868, 92155, 128291, 128327, 129572, 2600, 131500, 63478, 128439, 129078, 220, 20, 15, 128290, 130291, 94576, 128300, 28776, 128784, 128333, 2600, 131500, 128750, 128475, 130291, 94576, 128300, 129030, 342, 22516, 128750, 128273, 128336, 128384, 59735, 128376, 28776, 133024, 128918, 624, 40225, 124317, 37915, 128431, 128935, 98127, 128854, 59735, 130390, 131943, 129591, 130388, 128265, 128327, 342, 1103, 2600, 131500, 128750, 128421, 128250, 128275, 128278, 128379, 128301, 128703, 79126, 143281, 128515, 2600, 125440, 128327, 342, 1103, 131500, 128273, 128704, 129030, 64061, 128974, 129785, 131868, 92155, 13, 84137, 128270, 11, 128327, 129572, 128623, 128285, 59735, 126258, 128595, 342, 6023, 128273, 140288, 128977, 128370, 128278, 128379, 63478, 128334, 132314, 2600, 129831, 128319, 128250, 128327, 129572, 131500, 128750, 279, 78, 126370, 128333, 128272, 130406, 220, 20, 16, 128265, 128334, 132314, 126258, 128595, 128278, 128379, 128272, 141127, 128333, 65526, 220, 16, 15, 23, 14, 17, 15, 15, 21, 20290, 40225, 12, 7123, 126370, 128333, 25798, 128861, 47742, 128846, 128653, 61328, 128373, 128249, 65526, 128334, 59735, 136786, 137720, 128379, 13, 129932, 128974, 129785, 131868, 92155, 128336, 128283, 129315, 279, 78, 126370, 128333, 128283, 128373, 59735, 136786, 128750, 14854, 2143, 128265, 128289, 128439, 128327, 129572, 2600, 131500, 128750, 128421, 128250, 126341, 128502, 11, 58701, 128310, 128301, 128703, 128336, 128283, 126258, 128595, 128278, 128379, 128273, 128704, 129030, 13, 135433, 128327, 129572, 342, 22516, 128750, 11, 77374, 128515, 131500, 128750, 128421, 128250, 126258, 128595, 28776, 129054, 128761, 128750, 128465, 128282, 342, 22516, 128750, 128271, 128568, 47742, 128542, 922, 276, 128263, 128327, 129572, 342, 6023, 128273, 140288, 128977, 128370, 128278, 128379, 11, 130390, 131943, 342, 22516, 2600, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128427, 132630, 128250, 78228, 128322, 922, 276, 128542, 922, 276, 47742, 64061, 128974, 129785, 131868, 92155, 130693, 129156, 128456, 128415, 137261, 128513, 128486, 128784, 11, 128361, 130390, 131943, 128784, 128333, 13, 92155, 129938, 320, 143505, 25, 128534, 128683, 65526, 220, 17, 19, 17, 19, 14, 14903, 70, 15843, 29171, 4292, 151645 ]
[ 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
[ 67199, 25, 330, 35, 79823, 1, 127980, 133712, 95799, 94313, 128371, 270, 125913, 4337, 10861, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 730, 16739, 133712, 95799, 94313, 63798, 11, 128837, 128727, 128279, 129111, 129261, 47742, 129866, 129188, 489, 124644, 129470, 130535, 220, 18, 15, 14, 18, 11, 63478, 1062, 72, 37915, 128249, 69086, 128253, 128704, 128406, 1031, 61452, 128627, 7491, 89218, 88, 128465, 47742, 7777, 4076, 131491, 128281, 128272, 26961, 409, 60323, 624, 42, 33450, 94576, 128290, 220, 17, 15, 16, 16, 11, 128311, 130388, 15948, 79126, 129263, 128373, 272, 88602, 922, 10302, 47742, 14854, 94313, 130767, 78228, 126341, 128319, 128275, 133712, 95799, 94313, 79668, 129311, 128279, 2600, 128289, 129418, 272, 2143, 4337, 10861, 86139, 128526, 220, 21, 14, 17, 15, 16, 19, 624, 44, 546, 130668, 128914, 130514, 22708, 128664, 128384, 8364, 12011, 318, 11, 128837, 128267, 14854, 3165, 139548, 78228, 129984, 128285, 97483, 47742, 3845, 128351, 270, 309, 126258, 130604, 521, 2185, 128403, 129590, 129411, 128314, 128449, 320, 10134, 10861, 701, 128267, 23165, 2143, 296, 124904, 69086, 128526, 328, 1953, 84, 128447, 624, 53, 125017, 128688, 131969, 128300, 220, 18, 15, 14, 18, 11, 128304, 220, 16, 13, 15, 15, 15, 129111, 129261, 63478, 128277, 129481, 128886, 59735, 129866, 129188, 47742, 82790, 293, 82026, 142842, 308, 9917, 71, 131827, 129470, 129261, 127980, 133712, 95799, 94313, 63798, 12, 127980, 128978, 28776, 129168, 220, 16, 18, 15, 13, 15, 15, 15, 128394, 129447, 97832, 128480, 624, 56635, 70248, 128507, 128980, 85852, 489, 52885, 128377, 128272, 63798, 79126, 63478, 62029, 128888, 94576, 128371, 47742, 53037, 348, 124614, 128282, 128277, 138075, 272, 61031, 128352, 59735, 78228, 139829, 140431, 134057, 130375, 28776, 135343, 489, 524, 129522, 134814, 220, 16, 20, 127980, 128275, 133712, 95799, 94313, 129281, 126341, 128319, 624, 56635, 70248, 128507, 128802, 128278, 128730, 220, 20, 128626, 320, 8212, 76294, 128704, 128675, 8, 47742, 98127, 32154, 220, 16, 20, 130747, 128599, 128375, 458, 19550, 71, 79126, 128266, 128427, 126341, 128319, 624, 50, 2863, 128367, 14854, 94313, 130767, 11, 128599, 128375, 458, 19550, 71, 79126, 77374, 129566, 220, 19, 20, 15, 20972, 128360, 822, 47742, 135343, 129019, 78228, 128433, 11, 279, 78, 128603, 129410, 59735, 14854, 52551, 129045, 128338, 24373, 749, 14373, 13, 220, 17, 134248, 128419, 125021, 79126, 128279, 129111, 129261, 128802, 129566, 624, 35544, 126201, 128422, 128980, 489, 52885, 128377, 458, 19550, 71, 128272, 78228, 127980, 133712, 95799, 94313, 37915, 128249, 128463, 69086, 128253, 62029, 128289, 129311, 128279, 129418, 272, 2143, 4337, 10861, 220, 17, 15, 16, 19, 47742, 131346, 129984, 128410, 130567, 472, 4458, 128290, 220, 17, 15, 16, 21, 59735, 128311, 128918, 128542, 25441, 47742, 25441, 26961, 409, 60323, 624, 1282, 124603, 128270, 11, 130017, 128573, 52767, 1728, 97889, 542, 79126, 128329, 128431, 128498, 128451, 59735, 128573, 133796, 25441, 26961, 409, 60323, 128265, 128495, 130361, 2600, 129866, 129188, 128542, 25441, 63478, 128531, 23165, 2143, 128272, 78228, 127980, 133712, 95799, 94313, 23165, 10302, 128607, 128269, 128799, 130388, 25441, 96535, 69086, 130567, 4337, 10861, 624, 2082, 129336, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 67199, 25, 330, 35, 79823, 1, 127980, 133712, 95799, 94313, 128371, 270, 125913, 4337, 10861, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 730, 16739, 133712, 95799, 94313, 63798, 11, 128837, 128727, 128279, 129111, 129261, 47742, 129866, 129188, 489, 124644, 129470, 130535, 220, 18, 15, 14, 18, 11, 63478, 1062, 72, 37915, 128249, 69086, 128253, 128704, 128406, 1031, 61452, 128627, 7491, 89218, 88, 128465, 47742, 7777, 4076, 131491, 128281, 128272, 26961, 409, 60323, 624, 42, 33450, 94576, 128290, 220, 17, 15, 16, 16, 11, 128311, 130388, 15948, 79126, 129263, 128373, 272, 88602, 922, 10302, 47742, 14854, 94313, 130767, 78228, 126341, 128319, 128275, 133712, 95799, 94313, 79668, 129311, 128279, 2600, 128289, 129418, 272, 2143, 4337, 10861, 86139, 128526, 220, 21, 14, 17, 15, 16, 19, 624, 44, 546, 130668, 128914, 130514, 22708, 128664, 128384, 8364, 12011, 318, 11, 128837, 128267, 14854, 3165, 139548, 78228, 129984, 128285, 97483, 47742, 3845, 128351, 270, 309, 126258, 130604, 521, 2185, 128403, 129590, 129411, 128314, 128449, 320, 10134, 10861, 701, 128267, 23165, 2143, 296, 124904, 69086, 128526, 328, 1953, 84, 128447, 624, 53, 125017, 128688, 131969, 128300, 220, 18, 15, 14, 18, 11, 128304, 220, 16, 13, 15, 15, 15, 129111, 129261, 63478, 128277, 129481, 128886, 59735, 129866, 129188, 47742, 82790, 293, 82026, 142842, 308, 9917, 71, 131827, 129470, 129261, 127980, 133712, 95799, 94313, 63798, 12, 127980, 128978, 28776, 129168, 220, 16, 18, 15, 13, 15, 15, 15, 128394, 129447, 97832, 128480, 624, 56635, 70248, 128507, 128980, 85852, 489, 52885, 128377, 128272, 63798, 79126, 63478, 62029, 128888, 94576, 128371, 47742, 53037, 348, 124614, 128282, 128277, 138075, 272, 61031, 128352, 59735, 78228, 139829, 140431, 134057, 130375, 28776, 135343, 489, 524, 129522, 134814, 220, 16, 20, 127980, 128275, 133712, 95799, 94313, 129281, 126341, 128319, 624, 56635, 70248, 128507, 128802, 128278, 128730, 220, 20, 128626, 320, 8212, 76294, 128704, 128675, 8, 47742, 98127, 32154, 220, 16, 20, 130747, 128599, 128375, 458, 19550, 71, 79126, 128266, 128427, 126341, 128319, 624, 50, 2863, 128367, 14854, 94313, 130767, 11, 128599, 128375, 458, 19550, 71, 79126, 77374, 129566, 220, 19, 20, 15, 20972, 128360, 822, 47742, 135343, 129019, 78228, 128433, 11, 279, 78, 128603, 129410, 59735, 14854, 52551, 129045, 128338, 24373, 749, 14373, 13, 220, 17, 134248, 128419, 125021, 79126, 128279, 129111, 129261, 128802, 129566, 624, 35544, 126201, 128422, 128980, 489, 52885, 128377, 458, 19550, 71, 128272, 78228, 127980, 133712, 95799, 94313, 37915, 128249, 128463, 69086, 128253, 62029, 128289, 129311, 128279, 129418, 272, 2143, 4337, 10861, 220, 17, 15, 16, 19, 47742, 131346, 129984, 128410, 130567, 472, 4458, 128290, 220, 17, 15, 16, 21, 59735, 128311, 128918, 128542, 25441, 47742, 25441, 26961, 409, 60323, 624, 1282, 124603, 128270, 11, 130017, 128573, 52767, 1728, 97889, 542, 79126, 128329, 128431, 128498, 128451, 59735, 128573, 133796, 25441, 26961, 409, 60323, 128265, 128495, 130361, 2600, 129866, 129188, 128542, 25441, 63478, 128531, 23165, 2143, 128272, 78228, 127980, 133712, 95799, 94313, 23165, 10302, 128607, 128269, 128799, 130388, 25441, 96535, 69086, 130567, 4337, 10861, 624, 2082, 129336, 624, 151645 ]
[ 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
[ 40225, 72, 5498, 14926, 128373, 131538, 95082, 128360, 270, 124651, 137277, 132551, 129963, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 135996, 5498, 14926, 128479, 6032, 5498, 42504, 128494, 132658, 35928, 128329, 128419, 128289, 129591, 130388, 128456, 128415, 128494, 132658, 35928, 130314, 293, 9574, 35928, 25798, 131538, 95082, 128290, 220, 17, 15, 16, 18, 128350, 220, 20, 11, 18, 4, 128344, 128498, 47824, 14926, 128282, 270, 124651, 137277, 132551, 129963, 131538, 95082, 94576, 78228, 128290, 32154, 624, 50, 124397, 220, 17, 14, 16, 16, 11, 128494, 132658, 35928, 128826, 128309, 128403, 128432, 47742, 128495, 130361, 77374, 131538, 95082, 129645, 128301, 624, 45, 77354, 220, 17, 15, 16, 18, 37915, 128290, 14854, 8835, 14926, 128924, 77374, 131538, 95082, 53037, 129664, 126258, 130051, 128494, 132658, 35928, 128456, 15122, 94994, 220, 124603, 129664, 220, 22, 24, 15, 13, 23, 15, 15, 129427, 128329, 11, 137329, 78228, 130042, 342, 6023, 77374, 3043, 9745, 128703, 126258, 130051, 128291, 129822, 77374, 130660, 130287, 2426, 3043, 9745, 305, 50483, 83, 220, 21, 18, 13, 21, 18, 15, 129427, 128329, 624, 33, 60257, 39339, 129031, 128310, 305, 50483, 83, 77374, 773, 348, 38715, 2426, 128603, 129410, 128371, 128358, 11, 129029, 129528, 129029, 134352, 128311, 50327, 20868, 133778, 142840, 129101, 6362, 128370, 128826, 128309, 59735, 78228, 128479, 6032, 5498, 42504, 128494, 132658, 35928, 128265, 128322, 128751, 77374, 138178, 14854, 125055, 134375, 86139, 131538, 95082, 128651, 137277, 521, 124760, 128893, 128249, 65526, 130287, 2426, 129014, 326, 38715, 35928, 128284, 136514, 128284, 130498, 129645, 128301, 624, 131371, 968, 50327, 20868, 133778, 142840, 128268, 308, 124634, 128350, 128371, 128494, 132658, 35928, 78228, 128486, 128513, 129455, 130034, 77374, 131538, 95082, 94576, 138178, 14854, 125055, 134375, 128322, 128450, 11, 342, 1103, 326, 72115, 69086, 128643, 134375, 47592, 11, 128830, 128309, 279, 78, 78228, 128311, 95082, 126199, 129591, 130388, 11, 128981, 128704, 128675, 79126, 8943, 128373, 624, 51, 4076, 128452, 11, 128479, 6032, 5498, 42504, 356, 3441, 328, 124536, 29458, 38830, 128456, 130097, 129591, 130388, 128282, 128266, 129398, 78228, 128704, 98127, 128529, 77374, 131538, 95082, 94576, 308, 352, 128263, 6871, 9574, 2426, 128290, 128269, 78228, 132122, 128978, 128750, 14854, 2143, 11, 294, 8835, 14926, 129019, 11, 128830, 128309, 11, 138178, 134375, 11, 78228, 922, 125093, 130668, 128703, 131538, 95082, 11, 128757, 25798, 296, 4284, 274, 125238, 11, 135547, 128751, 11, 129675, 15122, 320, 50996, 72, 128301, 128703, 4292, 79759, 125431, 128580, 128456, 96535, 128463, 128465, 128877, 129281, 86139, 128322, 922, 276, 15122, 128311, 95082, 11, 98127, 128854, 13, 2350, 75050, 128266, 129398, 131368, 129414, 94576, 128376, 128273, 129630, 128376, 294, 80459, 2426, 79668, 28776, 128254, 128320, 128529, 128622, 77374, 131538, 95082, 11, 128479, 6032, 5498, 42504, 29458, 38830, 128339, 624, 1282, 644, 94994, 128270, 11, 128479, 6032, 5498, 42504, 128984, 472, 18934, 124310, 129938, 320, 33, 58506, 140401, 8, 128291, 2600, 128640, 25, 125807, 5498, 14926, 128373, 131538, 95082, 128290, 220, 17, 15, 16, 19, 128360, 136408, 128550, 11, 137277, 521, 124760, 11, 128281, 37915, 73586, 5498, 14926, 128373, 133844, 130669, 13535, 18934, 3202, 132645, 77374, 308, 9574, 35928, 128704, 47742, 129455, 130034, 77374, 11, 127306, 53037, 128317, 128459, 125021, 5498, 968, 128265, 129455, 130034, 77374, 13, 3155, 348, 8835, 143769, 128360, 128439, 130051, 11, 73586, 5498, 14926, 132314, 98127, 65526, 129822, 130498, 14854, 8835, 14926, 128379, 128401, 128847, 132658, 35928, 128350, 220, 18, 16, 4, 94576, 129738, 595, 20868, 128384, 128379, 128310, 128320, 124599, 5498, 14926, 136525, 128704, 624, 39, 50483, 83, 77374, 3043, 9745, 69086, 293, 9574, 2426, 129111, 126258, 130051, 25798, 128465, 128653, 128263, 128289, 128282, 130314, 293, 9574, 35928, 25798, 94576, 220, 19, 11, 23, 4, 128350, 220, 20, 11, 18, 4, 2600, 220, 17, 15, 16, 18, 47742, 220, 17, 15, 16, 20, 79668, 293, 14926, 14854, 125342, 37915, 73586, 5498, 14926, 129541, 130685, 79126, 348, 38715, 2426, 129591, 130388, 624, 40225, 37059, 6032, 5498, 42504, 131479, 15687, 141034, 135247, 132367, 92430, 128467, 94994, 128436, 128370, 130985, 25, 1599, 10302, 129822, 128254, 86139, 130917, 23531, 128406, 96535, 128651, 293, 3441, 128626, 595, 20868, 128384, 128324, 29974, 28776, 128444, 128597, 128465, 128260, 128283, 308, 352, 128344, 131538, 95082, 128787, 86139, 128643, 129111, 13535, 52885, 342, 8835, 6654, 57297, 39486, 13, 132019, 128310, 128268, 37915, 293, 38715, 71179, 308, 71431, 128599, 59735, 128347, 9450, 128553, 489, 2185, 14854, 8835, 14926, 128379, 131140, 131520, 130287, 126260, 11, 128847, 132658, 35928, 47742, 128757, 129036, 128585, 136949, 5279, 866, 4458, 78, 13535, 18934, 3202, 78228, 129838, 47742, 128358, 37915, 128253, 129031, 128310, 128761, 129541, 624, 51, 4076, 128452, 11, 128436, 141034, 128268, 98127, 15122, 128253, 137106, 128272, 69086, 128328, 25798, 128575, 131538, 95082, 47742, 138585, 270, 352, 130287, 71179, 128818, 137125, 128304, 128269, 128322, 128751, 129036, 130623, 3043, 9745, 11, 308, 5498, 6654, 53037, 128291, 128639, 129036, 130623, 15588, 5498, 50483, 128432, 13, 130676, 15122, 11, 53037, 128317, 348, 2185, 259, 352, 128459, 489, 11390, 94994, 128943, 128855, 134902, 128760, 128322, 922, 276, 11, 296, 4284, 274, 125238, 489, 524, 128422, 128279, 11, 128435, 130003, 13, 2350, 75050, 1062, 72, 128358, 37915, 25798, 128575, 128469, 127306, 53037, 128282, 25798, 14854, 8835, 14926, 128379, 128291, 134796, 2426, 128861, 135159, 63478, 11, 128479, 6032, 5498, 42504, 141034, 128339, 624, 79759, 125431, 129572, 128751, 128273, 128360, 131969, 63478, 132611, 128904, 79668, 128757, 293, 132540, 342, 124415, 132932, 2600, 131538, 95082, 128268, 128260, 270, 86728, 305, 50483, 83, 131538, 95082, 11, 130176, 129738, 128515, 79668, 14854, 8835, 14926, 128379, 11, 128362, 128531, 47742, 129477, 78228, 130042, 138178, 79126, 128263, 129572, 624, 1001, 48291, 87325, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 72, 5498, 14926, 128373, 131538, 95082, 128360, 270, 124651, 137277, 132551, 129963, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 135996, 5498, 14926, 128479, 6032, 5498, 42504, 128494, 132658, 35928, 128329, 128419, 128289, 129591, 130388, 128456, 128415, 128494, 132658, 35928, 130314, 293, 9574, 35928, 25798, 131538, 95082, 128290, 220, 17, 15, 16, 18, 128350, 220, 20, 11, 18, 4, 128344, 128498, 47824, 14926, 128282, 270, 124651, 137277, 132551, 129963, 131538, 95082, 94576, 78228, 128290, 32154, 624, 50, 124397, 220, 17, 14, 16, 16, 11, 128494, 132658, 35928, 128826, 128309, 128403, 128432, 47742, 128495, 130361, 77374, 131538, 95082, 129645, 128301, 624, 45, 77354, 220, 17, 15, 16, 18, 37915, 128290, 14854, 8835, 14926, 128924, 77374, 131538, 95082, 53037, 129664, 126258, 130051, 128494, 132658, 35928, 128456, 15122, 94994, 220, 124603, 129664, 220, 22, 24, 15, 13, 23, 15, 15, 129427, 128329, 11, 137329, 78228, 130042, 342, 6023, 77374, 3043, 9745, 128703, 126258, 130051, 128291, 129822, 77374, 130660, 130287, 2426, 3043, 9745, 305, 50483, 83, 220, 21, 18, 13, 21, 18, 15, 129427, 128329, 624, 33, 60257, 39339, 129031, 128310, 305, 50483, 83, 77374, 773, 348, 38715, 2426, 128603, 129410, 128371, 128358, 11, 129029, 129528, 129029, 134352, 128311, 50327, 20868, 133778, 142840, 129101, 6362, 128370, 128826, 128309, 59735, 78228, 128479, 6032, 5498, 42504, 128494, 132658, 35928, 128265, 128322, 128751, 77374, 138178, 14854, 125055, 134375, 86139, 131538, 95082, 128651, 137277, 521, 124760, 128893, 128249, 65526, 130287, 2426, 129014, 326, 38715, 35928, 128284, 136514, 128284, 130498, 129645, 128301, 624, 131371, 968, 50327, 20868, 133778, 142840, 128268, 308, 124634, 128350, 128371, 128494, 132658, 35928, 78228, 128486, 128513, 129455, 130034, 77374, 131538, 95082, 94576, 138178, 14854, 125055, 134375, 128322, 128450, 11, 342, 1103, 326, 72115, 69086, 128643, 134375, 47592, 11, 128830, 128309, 279, 78, 78228, 128311, 95082, 126199, 129591, 130388, 11, 128981, 128704, 128675, 79126, 8943, 128373, 624, 51, 4076, 128452, 11, 128479, 6032, 5498, 42504, 356, 3441, 328, 124536, 29458, 38830, 128456, 130097, 129591, 130388, 128282, 128266, 129398, 78228, 128704, 98127, 128529, 77374, 131538, 95082, 94576, 308, 352, 128263, 6871, 9574, 2426, 128290, 128269, 78228, 132122, 128978, 128750, 14854, 2143, 11, 294, 8835, 14926, 129019, 11, 128830, 128309, 11, 138178, 134375, 11, 78228, 922, 125093, 130668, 128703, 131538, 95082, 11, 128757, 25798, 296, 4284, 274, 125238, 11, 135547, 128751, 11, 129675, 15122, 320, 50996, 72, 128301, 128703, 4292, 79759, 125431, 128580, 128456, 96535, 128463, 128465, 128877, 129281, 86139, 128322, 922, 276, 15122, 128311, 95082, 11, 98127, 128854, 13, 2350, 75050, 128266, 129398, 131368, 129414, 94576, 128376, 128273, 129630, 128376, 294, 80459, 2426, 79668, 28776, 128254, 128320, 128529, 128622, 77374, 131538, 95082, 11, 128479, 6032, 5498, 42504, 29458, 38830, 128339, 624, 1282, 644, 94994, 128270, 11, 128479, 6032, 5498, 42504, 128984, 472, 18934, 124310, 129938, 320, 33, 58506, 140401, 8, 128291, 2600, 128640, 25, 125807, 5498, 14926, 128373, 131538, 95082, 128290, 220, 17, 15, 16, 19, 128360, 136408, 128550, 11, 137277, 521, 124760, 11, 128281, 37915, 73586, 5498, 14926, 128373, 133844, 130669, 13535, 18934, 3202, 132645, 77374, 308, 9574, 35928, 128704, 47742, 129455, 130034, 77374, 11, 127306, 53037, 128317, 128459, 125021, 5498, 968, 128265, 129455, 130034, 77374, 13, 3155, 348, 8835, 143769, 128360, 128439, 130051, 11, 73586, 5498, 14926, 132314, 98127, 65526, 129822, 130498, 14854, 8835, 14926, 128379, 128401, 128847, 132658, 35928, 128350, 220, 18, 16, 4, 94576, 129738, 595, 20868, 128384, 128379, 128310, 128320, 124599, 5498, 14926, 136525, 128704, 624, 39, 50483, 83, 77374, 3043, 9745, 69086, 293, 9574, 2426, 129111, 126258, 130051, 25798, 128465, 128653, 128263, 128289, 128282, 130314, 293, 9574, 35928, 25798, 94576, 220, 19, 11, 23, 4, 128350, 220, 20, 11, 18, 4, 2600, 220, 17, 15, 16, 18, 47742, 220, 17, 15, 16, 20, 79668, 293, 14926, 14854, 125342, 37915, 73586, 5498, 14926, 129541, 130685, 79126, 348, 38715, 2426, 129591, 130388, 624, 40225, 37059, 6032, 5498, 42504, 131479, 15687, 141034, 135247, 132367, 92430, 128467, 94994, 128436, 128370, 130985, 25, 1599, 10302, 129822, 128254, 86139, 130917, 23531, 128406, 96535, 128651, 293, 3441, 128626, 595, 20868, 128384, 128324, 29974, 28776, 128444, 128597, 128465, 128260, 128283, 308, 352, 128344, 131538, 95082, 128787, 86139, 128643, 129111, 13535, 52885, 342, 8835, 6654, 57297, 39486, 13, 132019, 128310, 128268, 37915, 293, 38715, 71179, 308, 71431, 128599, 59735, 128347, 9450, 128553, 489, 2185, 14854, 8835, 14926, 128379, 131140, 131520, 130287, 126260, 11, 128847, 132658, 35928, 47742, 128757, 129036, 128585, 136949, 5279, 866, 4458, 78, 13535, 18934, 3202, 78228, 129838, 47742, 128358, 37915, 128253, 129031, 128310, 128761, 129541, 624, 51, 4076, 128452, 11, 128436, 141034, 128268, 98127, 15122, 128253, 137106, 128272, 69086, 128328, 25798, 128575, 131538, 95082, 47742, 138585, 270, 352, 130287, 71179, 128818, 137125, 128304, 128269, 128322, 128751, 129036, 130623, 3043, 9745, 11, 308, 5498, 6654, 53037, 128291, 128639, 129036, 130623, 15588, 5498, 50483, 128432, 13, 130676, 15122, 11, 53037, 128317, 348, 2185, 259, 352, 128459, 489, 11390, 94994, 128943, 128855, 134902, 128760, 128322, 922, 276, 11, 296, 4284, 274, 125238, 489, 524, 128422, 128279, 11, 128435, 130003, 13, 2350, 75050, 1062, 72, 128358, 37915, 25798, 128575, 128469, 127306, 53037, 128282, 25798, 14854, 8835, 14926, 128379, 128291, 134796, 2426, 128861, 135159, 63478, 11, 128479, 6032, 5498, 42504, 141034, 128339, 624, 79759, 125431, 129572, 128751, 128273, 128360, 131969, 63478, 132611, 128904, 79668, 128757, 293, 132540, 342, 124415, 132932, 2600, 131538, 95082, 128268, 128260, 270, 86728, 305, 50483, 83, 131538, 95082, 11, 130176, 129738, 128515, 79668, 14854, 8835, 14926, 128379, 11, 128362, 128531, 47742, 129477, 78228, 130042, 138178, 79126, 128263, 129572, 624, 1001, 48291, 87325, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897 ]
898
[ 46788, 125641, 140996, 128930, 78228, 128311, 95082, 129481, 128886, 86139, 128564, 128480, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 128727, 8943, 128373, 141127, 128784, 133234, 136856, 129591, 130388, 128454, 128880, 128526, 220, 18, 128250, 128271, 128811, 85536, 922, 276, 128550, 128260, 23165, 125641, 140996, 128846, 128653, 47742, 128531, 23165, 2143, 128311, 95082, 129481, 128886, 129913, 128284, 79668, 126469, 94995, 128890, 11, 58701, 128310, 348, 352, 296, 4284, 128275, 128269, 128847, 128410, 11, 128275, 77374, 62572, 132058, 47742, 128275, 128269, 128560, 131537, 26, 128456, 128415, 128675, 128595, 129367, 129922, 128421, 129014, 296, 4284, 128275, 128269, 128421, 128250, 128251, 128301, 128703, 128272, 128324, 29974, 9338, 46788, 125641, 140996, 128846, 128653, 47742, 128531, 23165, 2143, 128311, 95082, 129481, 128886, 129913, 128284, 79668, 126469, 94995, 128890, 11, 58701, 128310, 348, 352, 296, 4284, 128275, 128269, 128847, 128410, 11, 128275, 77374, 62572, 132058, 47742, 128275, 128269, 128560, 131537, 481, 220, 126884, 16719, 1308, 71, 126247, 64, 624, 34, 50483, 128254, 11, 129591, 130388, 128498, 128451, 138737, 61758, 129645, 128301, 128324, 29974, 131628, 128319, 128250, 129029, 1599, 124317, 128855, 23165, 125641, 140996, 128846, 128653, 47742, 128531, 23165, 2143, 128311, 95082, 129481, 128886, 129913, 128284, 79668, 126469, 94995, 128890, 11, 58701, 128310, 348, 352, 296, 4284, 128275, 128269, 128847, 128410, 11, 128275, 77374, 62572, 132058, 47742, 128275, 128269, 128560, 131537, 28776, 129054, 128761, 129227, 220, 22, 15, 296, 220, 17, 128309, 128627, 129227, 220, 16, 20, 129077, 128329, 3183, 220, 17, 128250, 129240, 140694, 131531, 133713, 128333, 128269, 129240, 132058, 624, 33, 27021, 129623, 128270, 11, 138737, 61758, 129645, 128301, 128324, 29974, 128424, 128884, 128334, 128373, 128757, 140694, 131531, 129913, 128284, 7777, 352, 69086, 128278, 128526, 220, 19, 14, 17, 15, 16, 18, 26, 128529, 132300, 129522, 9586, 128289, 128531, 23165, 2143, 128336, 128283, 128272, 78228, 131538, 61758, 128560, 131537, 11, 270, 77689, 342, 125726, 128639, 130909, 128265, 128334, 129065, 11, 128799, 128884, 348, 352, 130498, 79668, 129913, 128284, 308, 9917, 71, 131827, 73586, 86139, 131167, 595, 20868, 128384, 26, 132668, 128818, 130483, 128924, 2600, 348, 352, 78228, 132122, 128978, 85636, 128415, 132234, 128386, 11, 132234, 138757, 26, 128424, 128884, 128334, 128373, 133713, 128333, 129427, 128309, 11, 129522, 134814, 137277, 128309, 128466, 128329, 128515, 128324, 29974, 624, 33, 37678, 1599, 124317, 128855, 23165, 125641, 140996, 128456, 128415, 128675, 128595, 132038, 128726, 128311, 95082, 279, 78, 128846, 129367, 129922, 128421, 129014, 47742, 128334, 129065, 296, 4284, 11, 128760, 129347, 128275, 128269, 128421, 128250, 128251, 128324, 29974, 128333, 129447, 128269, 128301, 128703, 11, 126341, 128502, 11, 58701, 128310, 128301, 128703, 128272, 128324, 29974, 11, 128361, 128376, 28776, 133024, 128918, 856, 336, 130985, 11, 128784, 128333, 624, 51, 125012, 130051, 128675, 128595, 128757, 134375, 77374, 62572, 653, 27924, 128386, 128265, 129240, 220, 17, 15, 4, 624, 1143, 125012, 130388, 128498, 128451, 129029, 134352, 128311, 98127, 128854, 128861, 135159, 25798, 11, 128788, 128589, 37915, 129522, 134814, 137277, 521, 124760, 25798, 94576, 129738, 126258, 128441, 131538, 95082, 26, 128427, 132630, 11, 131628, 128319, 128250, 78228, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 128826, 128309, 128289, 128336, 128283, 78228, 128311, 95082, 128556, 131774, 279, 78, 141127, 128784, 65526, 220, 15, 17, 20290, 48, 12, 7123, 1154, 129363, 128365, 130660, 128421, 131538, 95082, 128290, 220, 17, 15, 16, 18, 11, 128439, 130051, 128675, 128595, 128424, 128884, 128757, 134375, 77374, 62572, 653, 27924, 128386, 128265, 129240, 220, 17, 15, 4, 47742, 128675, 128595, 128757, 134375, 128309, 128466, 94995, 128529, 11, 128603, 129410, 129591, 130388, 69086, 128526, 220, 19, 14, 17, 15, 16, 18, 624, 33, 37678, 128534, 137048, 11, 129029, 134352, 128311, 11, 129029, 809, 128384, 131628, 128319, 128846, 128653, 279, 78, 133024, 128918, 130540, 128361, 128334, 132314, 128309, 128484, 11, 128309, 856, 58597, 131318, 11, 128309, 128507, 128367, 379, 128384, 128249, 128328, 128319, 128356, 11, 53037, 294, 125196, 86139, 128249, 128327, 128406, 11, 131763, 131282, 128400, 128285, 128882, 128529, 128309, 14854, 94313, 128871, 624, 33, 37678, 730, 26068, 130361, 47742, 137720, 128379, 128427, 132630, 11, 131628, 128319, 128250, 129029, 134352, 128311, 47742, 78228, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 128553, 489, 2185, 98127, 128854, 132668, 308, 9917, 71, 129263, 128368, 61328, 62029, 47742, 128486, 131538, 130498, 128278, 128379, 128943, 128855, 128322, 128450, 11, 128281, 37915, 78228, 129738, 130498, 131538, 95082, 128275, 128301, 11, 130641, 137535, 129591, 130388, 11, 506, 6352, 26, 129209, 126500, 128403, 128432, 128531, 23165, 2143, 47742, 141580, 128451, 128336, 128384, 11, 856, 336, 130985, 128289, 128740, 130498, 130641, 137535, 129591, 130388, 128495, 130361, 128290, 220, 17, 15, 16, 19, 11, 220, 17, 15, 16, 20, 128421, 128250, 78228, 126258, 128595, 128376, 128422, 11, 128360, 132668, 308, 9917, 71, 129263, 128368, 69086, 128290, 220, 17, 15, 16, 18, 11, 128417, 129551, 137277, 521, 124760, 11, 128423, 128432, 47742, 69086, 129363, 128365, 130660, 128421, 129738, 130498, 79126, 342, 22516, 11, 128603, 129410, 130390, 131943, 129591, 130388, 128784, 128333, 624, 51, 36745, 489, 2185, 98127, 128854, 129455, 129572, 128269, 133318, 1163, 2185, 11, 130951, 132019, 624, 45, 866, 35928, 128784, 308, 124634, 129398, 11, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 128553, 489, 2185, 98127, 128854, 129455, 129572, 128269, 133318, 1163, 2185, 11, 130951, 132019, 47742, 856, 86728, 62572, 296, 65762, 77, 128269, 133318, 29974, 26, 131628, 128319, 128250, 129029, 128534, 137048, 98127, 128854, 128336, 128283, 128417, 129551, 128484, 47742, 128334, 128861, 128301, 128272, 78228, 129122, 14854, 36745, 132601, 128484, 128273, 78228, 129480, 128978, 134782, 79668, 129455, 129572, 2600, 85636, 128415, 26, 131628, 128319, 128250, 129029, 134352, 128311, 856, 336, 130985, 128289, 129481, 128886, 348, 124431, 6558, 258, 128441, 11, 129455, 11, 294, 36745, 128507, 128453, 128273, 94995, 274, 124411, 11, 94995, 134650, 11, 132601, 85636, 47742, 128289, 129481, 128886, 129455, 129572, 11, 856, 86728, 62572, 296, 65762, 77, 2600, 78228, 129838, 128279, 128492, 129589, 26, 131628, 128319, 128250, 129029, 730, 26068, 130361, 47742, 137720, 128379, 128943, 128855, 128322, 128751, 128278, 128379, 128421, 128400, 62029, 128379, 320, 97252, 8, 69086, 132122, 128978, 132234, 128386, 624, 33, 37678, 128534, 137048, 137288, 128327, 28776, 137261, 128513, 132611, 128904, 128419, 129916, 129623, 23686, 71, 128415, 97610, 53037, 136382, 128818, 11, 130641, 128513, 129963, 69086, 128811, 128366, 78228, 653, 27924, 128386, 128324, 29974, 11, 128281, 37915, 69086, 132122, 128978, 128415, 97610, 143692, 11, 132601, 85636, 624, 33, 37678, 128685, 128367, 128427, 132630, 11, 131628, 128319, 128250, 78228, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 128761, 129541, 128531, 23165, 2143, 128336, 128283, 129207, 128333, 47742, 62029, 128888, 132026, 65526, 128265, 131867, 128328, 128373, 128311, 128290, 220, 17, 15, 16, 17, 624, 34, 6728, 128550, 131084, 137261, 128847, 128410, 94994, 128943, 128855, 128322, 128751, 11, 128311, 95082, 624, 34, 125432, 128272, 141127, 128784, 96535, 11, 129591, 130388, 128498, 128451, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128553, 489, 2185, 14854, 61452, 133796, 11, 129522, 9586, 62029, 128400, 128376, 131826, 128977, 128370, 128918, 128353, 128284, 128750, 11, 128918, 128760, 129347, 128275, 128269, 47742, 78228, 128556, 85636, 136822, 132726, 128250, 128750, 279, 78, 141127, 128784, 128880, 136856, 128720, 220, 18, 128494, 128410, 131774, 95760, 47742, 132026, 126260, 220, 16, 19, 22, 19, 14, 1162, 9285, 51, 70, 59735, 130390, 131943, 129591, 130388, 26, 131628, 128319, 128250, 78228, 129029, 11, 128322, 922, 276, 128542, 922, 276, 128486, 128784, 348, 125097, 131880, 69086, 128459, 128361, 128376, 131826, 128977, 128370, 128918, 128353, 128284, 128750, 128269, 78228, 128704, 128675, 624, 34, 29341, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 23165, 125641, 140996, 128336, 128283, 142303, 128595, 129822, 128254, 135578, 128322, 133795, 595, 20868, 128384, 26, 128943, 128855, 47742, 128531, 23165, 2143, 129784, 128361, 11, 128495, 130361, 135578, 128322, 133795, 279, 78, 129857, 11, 132122, 128978, 11, 129838, 279, 78, 128502, 128365, 11, 129414, 128367, 26, 130314, 2162, 78, 132551, 129963, 11, 132551, 272, 85375, 128373, 128311, 11, 128529, 132300, 14854, 61452, 133796, 11, 129522, 9586, 11, 1091, 71, 9586, 11, 128826, 128309, 11, 129522, 128406, 131763, 130314, 2162, 78, 128423, 128432, 59735, 128289, 126341, 128502, 128336, 128283, 11, 128930, 128322, 128751, 11, 128311, 95082, 73586, 86139, 128564, 128480, 26, 128761, 129541, 129311, 128279, 78228, 128456, 128595, 11, 128603, 129410, 128361, 128880, 136856, 128720, 220, 20, 128494, 128410, 131774, 95760, 624, 33, 37678, 130303, 24790, 47742, 141901, 92430, 47742, 78228, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 132668, 128818, 47742, 128427, 128285, 272, 2185, 128376, 92430, 24790, 11, 128529, 132300, 135593, 129045, 11, 128486, 128745, 11, 128421, 129752, 128265, 128311, 95082, 11, 128788, 128589, 37915, 78228, 128580, 128456, 136525, 129748, 922, 276, 128396, 13, 128678, 129029, 11, 128322, 922, 276, 129407, 128550, 128289, 129483, 128431, 128935, 128310, 128394, 11, 1062, 72, 128550, 131084, 137261, 128847, 128410, 94994, 128943, 128855, 47742, 8943, 128373, 128322, 128751, 11, 128311, 95082, 79668, 128417, 129551, 128277, 128329, 131678, 69086, 128336, 61328, 11, 128362, 305, 4076, 128423, 128432, 59735, 128322, 128751, 11, 128311, 95082, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46788, 125641, 140996, 128930, 78228, 128311, 95082, 129481, 128886, 86139, 128564, 128480, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 128727, 8943, 128373, 141127, 128784, 133234, 136856, 129591, 130388, 128454, 128880, 128526, 220, 18, 128250, 128271, 128811, 85536, 922, 276, 128550, 128260, 23165, 125641, 140996, 128846, 128653, 47742, 128531, 23165, 2143, 128311, 95082, 129481, 128886, 129913, 128284, 79668, 126469, 94995, 128890, 11, 58701, 128310, 348, 352, 296, 4284, 128275, 128269, 128847, 128410, 11, 128275, 77374, 62572, 132058, 47742, 128275, 128269, 128560, 131537, 26, 128456, 128415, 128675, 128595, 129367, 129922, 128421, 129014, 296, 4284, 128275, 128269, 128421, 128250, 128251, 128301, 128703, 128272, 128324, 29974, 9338, 46788, 125641, 140996, 128846, 128653, 47742, 128531, 23165, 2143, 128311, 95082, 129481, 128886, 129913, 128284, 79668, 126469, 94995, 128890, 11, 58701, 128310, 348, 352, 296, 4284, 128275, 128269, 128847, 128410, 11, 128275, 77374, 62572, 132058, 47742, 128275, 128269, 128560, 131537, 481, 220, 126884, 16719, 1308, 71, 126247, 64, 624, 34, 50483, 128254, 11, 129591, 130388, 128498, 128451, 138737, 61758, 129645, 128301, 128324, 29974, 131628, 128319, 128250, 129029, 1599, 124317, 128855, 23165, 125641, 140996, 128846, 128653, 47742, 128531, 23165, 2143, 128311, 95082, 129481, 128886, 129913, 128284, 79668, 126469, 94995, 128890, 11, 58701, 128310, 348, 352, 296, 4284, 128275, 128269, 128847, 128410, 11, 128275, 77374, 62572, 132058, 47742, 128275, 128269, 128560, 131537, 28776, 129054, 128761, 129227, 220, 22, 15, 296, 220, 17, 128309, 128627, 129227, 220, 16, 20, 129077, 128329, 3183, 220, 17, 128250, 129240, 140694, 131531, 133713, 128333, 128269, 129240, 132058, 624, 33, 27021, 129623, 128270, 11, 138737, 61758, 129645, 128301, 128324, 29974, 128424, 128884, 128334, 128373, 128757, 140694, 131531, 129913, 128284, 7777, 352, 69086, 128278, 128526, 220, 19, 14, 17, 15, 16, 18, 26, 128529, 132300, 129522, 9586, 128289, 128531, 23165, 2143, 128336, 128283, 128272, 78228, 131538, 61758, 128560, 131537, 11, 270, 77689, 342, 125726, 128639, 130909, 128265, 128334, 129065, 11, 128799, 128884, 348, 352, 130498, 79668, 129913, 128284, 308, 9917, 71, 131827, 73586, 86139, 131167, 595, 20868, 128384, 26, 132668, 128818, 130483, 128924, 2600, 348, 352, 78228, 132122, 128978, 85636, 128415, 132234, 128386, 11, 132234, 138757, 26, 128424, 128884, 128334, 128373, 133713, 128333, 129427, 128309, 11, 129522, 134814, 137277, 128309, 128466, 128329, 128515, 128324, 29974, 624, 33, 37678, 1599, 124317, 128855, 23165, 125641, 140996, 128456, 128415, 128675, 128595, 132038, 128726, 128311, 95082, 279, 78, 128846, 129367, 129922, 128421, 129014, 47742, 128334, 129065, 296, 4284, 11, 128760, 129347, 128275, 128269, 128421, 128250, 128251, 128324, 29974, 128333, 129447, 128269, 128301, 128703, 11, 126341, 128502, 11, 58701, 128310, 128301, 128703, 128272, 128324, 29974, 11, 128361, 128376, 28776, 133024, 128918, 856, 336, 130985, 11, 128784, 128333, 624, 51, 125012, 130051, 128675, 128595, 128757, 134375, 77374, 62572, 653, 27924, 128386, 128265, 129240, 220, 17, 15, 4, 624, 1143, 125012, 130388, 128498, 128451, 129029, 134352, 128311, 98127, 128854, 128861, 135159, 25798, 11, 128788, 128589, 37915, 129522, 134814, 137277, 521, 124760, 25798, 94576, 129738, 126258, 128441, 131538, 95082, 26, 128427, 132630, 11, 131628, 128319, 128250, 78228, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 128826, 128309, 128289, 128336, 128283, 78228, 128311, 95082, 128556, 131774, 279, 78, 141127, 128784, 65526, 220, 15, 17, 20290, 48, 12, 7123, 1154, 129363, 128365, 130660, 128421, 131538, 95082, 128290, 220, 17, 15, 16, 18, 11, 128439, 130051, 128675, 128595, 128424, 128884, 128757, 134375, 77374, 62572, 653, 27924, 128386, 128265, 129240, 220, 17, 15, 4, 47742, 128675, 128595, 128757, 134375, 128309, 128466, 94995, 128529, 11, 128603, 129410, 129591, 130388, 69086, 128526, 220, 19, 14, 17, 15, 16, 18, 624, 33, 37678, 128534, 137048, 11, 129029, 134352, 128311, 11, 129029, 809, 128384, 131628, 128319, 128846, 128653, 279, 78, 133024, 128918, 130540, 128361, 128334, 132314, 128309, 128484, 11, 128309, 856, 58597, 131318, 11, 128309, 128507, 128367, 379, 128384, 128249, 128328, 128319, 128356, 11, 53037, 294, 125196, 86139, 128249, 128327, 128406, 11, 131763, 131282, 128400, 128285, 128882, 128529, 128309, 14854, 94313, 128871, 624, 33, 37678, 730, 26068, 130361, 47742, 137720, 128379, 128427, 132630, 11, 131628, 128319, 128250, 129029, 134352, 128311, 47742, 78228, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 128553, 489, 2185, 98127, 128854, 132668, 308, 9917, 71, 129263, 128368, 61328, 62029, 47742, 128486, 131538, 130498, 128278, 128379, 128943, 128855, 128322, 128450, 11, 128281, 37915, 78228, 129738, 130498, 131538, 95082, 128275, 128301, 11, 130641, 137535, 129591, 130388, 11, 506, 6352, 26, 129209, 126500, 128403, 128432, 128531, 23165, 2143, 47742, 141580, 128451, 128336, 128384, 11, 856, 336, 130985, 128289, 128740, 130498, 130641, 137535, 129591, 130388, 128495, 130361, 128290, 220, 17, 15, 16, 19, 11, 220, 17, 15, 16, 20, 128421, 128250, 78228, 126258, 128595, 128376, 128422, 11, 128360, 132668, 308, 9917, 71, 129263, 128368, 69086, 128290, 220, 17, 15, 16, 18, 11, 128417, 129551, 137277, 521, 124760, 11, 128423, 128432, 47742, 69086, 129363, 128365, 130660, 128421, 129738, 130498, 79126, 342, 22516, 11, 128603, 129410, 130390, 131943, 129591, 130388, 128784, 128333, 624, 51, 36745, 489, 2185, 98127, 128854, 129455, 129572, 128269, 133318, 1163, 2185, 11, 130951, 132019, 624, 45, 866, 35928, 128784, 308, 124634, 129398, 11, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 128553, 489, 2185, 98127, 128854, 129455, 129572, 128269, 133318, 1163, 2185, 11, 130951, 132019, 47742, 856, 86728, 62572, 296, 65762, 77, 128269, 133318, 29974, 26, 131628, 128319, 128250, 129029, 128534, 137048, 98127, 128854, 128336, 128283, 128417, 129551, 128484, 47742, 128334, 128861, 128301, 128272, 78228, 129122, 14854, 36745, 132601, 128484, 128273, 78228, 129480, 128978, 134782, 79668, 129455, 129572, 2600, 85636, 128415, 26, 131628, 128319, 128250, 129029, 134352, 128311, 856, 336, 130985, 128289, 129481, 128886, 348, 124431, 6558, 258, 128441, 11, 129455, 11, 294, 36745, 128507, 128453, 128273, 94995, 274, 124411, 11, 94995, 134650, 11, 132601, 85636, 47742, 128289, 129481, 128886, 129455, 129572, 11, 856, 86728, 62572, 296, 65762, 77, 2600, 78228, 129838, 128279, 128492, 129589, 26, 131628, 128319, 128250, 129029, 730, 26068, 130361, 47742, 137720, 128379, 128943, 128855, 128322, 128751, 128278, 128379, 128421, 128400, 62029, 128379, 320, 97252, 8, 69086, 132122, 128978, 132234, 128386, 624, 33, 37678, 128534, 137048, 137288, 128327, 28776, 137261, 128513, 132611, 128904, 128419, 129916, 129623, 23686, 71, 128415, 97610, 53037, 136382, 128818, 11, 130641, 128513, 129963, 69086, 128811, 128366, 78228, 653, 27924, 128386, 128324, 29974, 11, 128281, 37915, 69086, 132122, 128978, 128415, 97610, 143692, 11, 132601, 85636, 624, 33, 37678, 128685, 128367, 128427, 132630, 11, 131628, 128319, 128250, 78228, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 128761, 129541, 128531, 23165, 2143, 128336, 128283, 129207, 128333, 47742, 62029, 128888, 132026, 65526, 128265, 131867, 128328, 128373, 128311, 128290, 220, 17, 15, 16, 17, 624, 34, 6728, 128550, 131084, 137261, 128847, 128410, 94994, 128943, 128855, 128322, 128751, 11, 128311, 95082, 624, 34, 125432, 128272, 141127, 128784, 96535, 11, 129591, 130388, 128498, 128451, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128553, 489, 2185, 14854, 61452, 133796, 11, 129522, 9586, 62029, 128400, 128376, 131826, 128977, 128370, 128918, 128353, 128284, 128750, 11, 128918, 128760, 129347, 128275, 128269, 47742, 78228, 128556, 85636, 136822, 132726, 128250, 128750, 279, 78, 141127, 128784, 128880, 136856, 128720, 220, 18, 128494, 128410, 131774, 95760, 47742, 132026, 126260, 220, 16, 19, 22, 19, 14, 1162, 9285, 51, 70, 59735, 130390, 131943, 129591, 130388, 26, 131628, 128319, 128250, 78228, 129029, 11, 128322, 922, 276, 128542, 922, 276, 128486, 128784, 348, 125097, 131880, 69086, 128459, 128361, 128376, 131826, 128977, 128370, 128918, 128353, 128284, 128750, 128269, 78228, 128704, 128675, 624, 34, 29341, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 23165, 125641, 140996, 128336, 128283, 142303, 128595, 129822, 128254, 135578, 128322, 133795, 595, 20868, 128384, 26, 128943, 128855, 47742, 128531, 23165, 2143, 129784, 128361, 11, 128495, 130361, 135578, 128322, 133795, 279, 78, 129857, 11, 132122, 128978, 11, 129838, 279, 78, 128502, 128365, 11, 129414, 128367, 26, 130314, 2162, 78, 132551, 129963, 11, 132551, 272, 85375, 128373, 128311, 11, 128529, 132300, 14854, 61452, 133796, 11, 129522, 9586, 11, 1091, 71, 9586, 11, 128826, 128309, 11, 129522, 128406, 131763, 130314, 2162, 78, 128423, 128432, 59735, 128289, 126341, 128502, 128336, 128283, 11, 128930, 128322, 128751, 11, 128311, 95082, 73586, 86139, 128564, 128480, 26, 128761, 129541, 129311, 128279, 78228, 128456, 128595, 11, 128603, 129410, 128361, 128880, 136856, 128720, 220, 20, 128494, 128410, 131774, 95760, 624, 33, 37678, 130303, 24790, 47742, 141901, 92430, 47742, 78228, 129029, 11, 128322, 922, 276, 11, 128704, 128675, 132668, 128818, 47742, 128427, 128285, 272, 2185, 128376, 92430, 24790, 11, 128529, 132300, 135593, 129045, 11, 128486, 128745, 11, 128421, 129752, 128265, 128311, 95082, 11, 128788, 128589, 37915, 78228, 128580, 128456, 136525, 129748, 922, 276, 128396, 13, 128678, 129029, 11, 128322, 922, 276, 129407, 128550, 128289, 129483, 128431, 128935, 128310, 128394, 11, 1062, 72, 128550, 131084, 137261, 128847, 128410, 94994, 128943, 128855, 47742, 8943, 128373, 128322, 128751, 11, 128311, 95082, 79668, 128417, 129551, 128277, 128329, 131678, 69086, 128336, 61328, 11, 128362, 305, 4076, 128423, 128432, 59735, 128322, 128751, 11, 128311, 95082, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439 ]
1,440
[ 40225, 37059, 128410, 134355, 53243, 128250, 78228, 23165, 124692, 14854, 94313, 129108, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133784, 132972, 142226, 136312, 128362, 128531, 595, 20868, 128384, 12, 128847, 128410, 220, 17, 15, 16, 16, 12, 220, 17, 15, 17, 15, 79126, 129506, 128509, 12789, 23165, 124692, 14854, 94313, 129108, 25, 128254, 128751, 11, 129738, 128310, 128599, 47742, 128403, 133795, 131140, 131520, 13, 130244, 128311, 37915, 521, 23531, 64, 131774, 922, 276, 128550, 79668, 132668, 128818, 128277, 128386, 24872, 39, 481, 472, 40225, 39, 11, 128930, 128750, 128301, 128362, 128531, 308, 9917, 71, 11, 135268, 135584, 624, 40225, 37059, 128410, 53243, 134406, 128960, 15122, 94994, 128290, 220, 17, 15, 16, 15, 128727, 23165, 963, 79, 85852, 128250, 128403, 128432, 129822, 922, 16685, 37915, 130203, 128830, 128444, 128314, 59735, 128324, 29974, 94576, 131270, 128301, 28776, 77374, 62572, 132058, 28240, 131270, 128301, 28776, 77374, 62572, 489, 2185, 128823, 26, 128444, 128314, 128750, 128301, 63478, 130314, 2162, 78, 128273, 128331, 128664, 128384, 26, 94994, 128290, 220, 17, 15, 16, 16, 128727, 92105, 128802, 128278, 11, 129367, 15122, 142122, 132551, 128250, 129203, 128575, 128263, 128290, 220, 17, 15, 17, 15, 128322, 128450, 128570, 64061, 128301, 62029, 128386, 279, 78, 128846, 128283, 128479, 13, 133784, 132972, 142226, 136312, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 220, 17, 15, 16, 16, 12, 220, 17, 15, 17, 15, 79126, 129506, 128509, 12789, 23165, 124692, 14854, 94313, 129108, 25, 128254, 128751, 11, 129738, 128310, 128599, 47742, 128403, 133795, 131140, 131520, 13, 17275, 88602, 130509, 128254, 128751, 451, 69243, 595, 20868, 128384, 126199, 134355, 11, 129645, 128301, 11, 128310, 128394, 9450, 129506, 128509, 37915, 131167, 595, 20868, 128384, 126260, 128331, 128333, 128846, 128847, 128410, 128427, 129598, 13, 730, 20868, 128384, 126260, 128331, 37915, 128403, 128432, 129202, 129553, 59735, 85636, 128415, 61758, 128585, 128271, 64061, 128463, 11, 37915, 128249, 69086, 128253, 128811, 85536, 272, 125456, 326, 11151, 72, 69086, 128448, 326, 87939, 50327, 97516, 92105, 59735, 134355, 9450, 13, 17275, 88602, 130509, 595, 20868, 128384, 126260, 128331, 37915, 128643, 130509, 78228, 129553, 129556, 11, 78228, 128433, 126260, 128331, 47742, 28776, 129991, 128331, 129623, 23686, 71, 128823, 136338, 11, 69086, 128270, 128550, 128396, 37915, 128425, 128980, 129991, 128331, 129623, 23686, 71, 128823, 136338, 481, 129623, 23686, 71, 128411, 128365, 131531, 11, 128380, 128375, 11, 128423, 128432, 13, 135433, 78228, 128387, 96535, 11, 128283, 128487, 128320, 128253, 129572, 128751, 11, 128633, 130569, 128360, 63478, 922, 276, 128396, 128643, 130509, 69086, 128253, 128290, 128447, 13, 84137, 6592, 128403, 94994, 94995, 62572, 126778, 128502, 137048, 131537, 131346, 128449, 320, 54, 5207, 701, 128327, 129572, 79668, 128324, 29974, 128830, 128726, 47742, 63478, 62029, 128370, 37915, 131167, 595, 20868, 128384, 126260, 128331, 138117, 128281, 37915, 220, 17, 15, 16, 22, 26, 128263, 308, 352, 79126, 28776, 128249, 65526, 64061, 97483, 99133, 79126, 62029, 128370, 47742, 922, 276, 128457, 1031, 61452, 128627, 11, 128278, 128379, 279, 78, 128575, 129311, 96535, 13, 128324, 29974, 128360, 132611, 128904, 128253, 129572, 128751, 11, 128633, 130569, 128283, 128272, 79668, 132668, 308, 9917, 71, 129263, 128361, 96535, 79668, 28776, 128444, 128314, 92105, 69086, 922, 276, 128457, 128560, 131537, 11, 128278, 128379, 128250, 78228, 64061, 97483, 69086, 99133, 13, 350, 4076, 128452, 11, 595, 20868, 128384, 126260, 128331, 128268, 28776, 128253, 128387, 130641, 59735, 128525, 13, 140401, 128846, 128847, 128410, 128427, 129598, 128265, 128336, 128380, 37915, 28776, 128277, 129270, 128356, 128275, 128301, 11, 279, 78, 128333, 128846, 128394, 136949, 11, 128301, 128818, 11, 128394, 128427, 11, 62029, 128411, 11, 128683, 1308, 71, 11, 128425, 128277, 128362, 128531, 135268, 135584, 2600, 128750, 128301, 13, 140401, 128846, 96535, 138585, 129087, 128282, 28776, 129030, 259, 352, 129347, 128338, 59735, 129645, 128301, 11, 128417, 129551, 2600, 128289, 128362, 128531, 595, 20868, 128384, 128282, 128403, 128319, 133844, 130669, 128250, 128362, 128531, 78228, 132122, 128978, 128683, 128585, 11, 128847, 128410, 11, 128336, 128283, 129263, 128366, 47742, 62029, 128411, 128847, 128410, 69086, 128981, 130203, 47742, 128981, 128311, 95082, 128362, 128531, 13, 1163, 644, 128270, 128550, 128396, 37915, 128425, 128980, 129991, 128331, 129623, 23686, 71, 11, 128823, 136338, 47742, 131867, 128328, 128373, 128311, 11, 128281, 37915, 128799, 128884, 128373, 128311, 13, 50327, 94313, 129108, 128265, 128254, 128751, 128727, 135984, 23165, 125531, 128266, 136949, 128319, 128513, 11, 23165, 2143, 133457, 78228, 129738, 128599, 59735, 78228, 64061, 128463, 595, 20868, 128384, 11, 128439, 128365, 128285, 128688, 128425, 11, 132611, 128904, 128439, 128823, 129866, 26, 128727, 132611, 128904, 128266, 136949, 128633, 128319, 128513, 11, 128425, 128334, 129065, 79668, 128251, 138816, 348, 18934, 67657, 128350, 136122, 138816, 11, 128757, 521, 5498, 16719, 130554, 331, 136949, 138816, 11, 135322, 128531, 129738, 128310, 128599, 451, 8717, 125196, 128310, 128599, 63478, 1062, 72, 37915, 128249, 14854, 94313, 129108, 11, 128249, 128387, 128415, 128362, 94576, 39486, 129659, 128788, 128589, 311, 128465, 59735, 129553, 129556, 96535, 130985, 69086, 78228, 134666, 922, 276, 128457, 129181, 128811, 128599, 47742, 130906, 128599, 11, 129181, 78228, 129553, 129556, 59735, 128529, 129528, 320, 75, 3441, 128285, 11, 130498, 128278, 128379, 11, 128556, 129031, 131265, 128452, 11, 128422, 128279, 11, 129531, 128859, 12, 62029, 128781, 59564, 128387, 128354, 128415, 128362, 94576, 128336, 129916, 11, 128788, 128589, 37915, 128253, 129572, 128751, 11, 128633, 130569, 128265, 128322, 133795, 1187, 78, 128285, 11, 128265, 129427, 130554, 1187, 78, 128285, 79126, 73525, 131912, 128425, 11, 128265, 128365, 131531, 1187, 78, 128285, 11, 50327, 94313, 129108, 128265, 129738, 128310, 128599, 11, 128249, 128387, 128282, 128401, 128284, 129738, 1187, 78, 128285, 320, 8212, 21742, 76, 129427, 130554, 130034, 128386, 11, 128757, 129427, 130554, 130502, 128289, 128266, 59564, 128830, 128507, 128322, 133795, 1187, 78, 128285, 320, 331, 125550, 1187, 78, 128285, 132234, 128386, 28240, 62029, 128386, 11, 128507, 128367, 11, 1215, 128387, 128354, 11, 922, 276, 128550, 128304, 37915, 130314, 2162, 78, 128380, 128375, 129738, 128310, 128599, 11, 79668, 130314, 2162, 78, 128365, 131531, 1187, 78, 128285, 481, 129553, 129556, 128322, 128450, 79668, 128529, 128423, 128432, 11, 128738, 129623, 23686, 71, 11, 19953, 125913, 128751, 326, 125252, 128362, 11, 19953, 125913, 128751, 62572, 132539, 11, 129024, 72067, 64, 128292, 481, 62029, 128781, 37915, 128285, 128599, 59735, 128529, 129528, 47742, 128362, 128531, 135268, 135584, 11, 128291, 129023, 129677, 481, 131912, 128425, 37915, 521, 23531, 64, 131774, 59735, 72067, 64, 128292, 481, 62029, 128781, 13, 130629, 128490, 11, 14854, 94313, 129108, 128265, 129738, 128310, 128599, 11, 128281, 37915, 129738, 128310, 128599, 28776, 128380, 128375, 2162, 78, 28776, 46051, 128811, 85536, 922, 276, 128550, 128281, 37915, 128726, 92105, 129209, 128450, 11, 128401, 129054, 131167, 129023, 129677, 128664, 128394, 26, 128329, 128327, 128362, 128531, 47742, 128740, 128284, 72067, 64, 128292, 12, 62029, 128781, 13, 50327, 97516, 92105, 129209, 128450, 11, 128401, 129054, 131167, 129023, 129677, 128664, 128394, 28776, 128271, 128811, 85536, 11, 128553, 489, 2185, 2600, 128289, 130314, 2162, 78, 128380, 128375, 129023, 129677, 13, 134914, 128250, 129023, 129677, 132175, 92430, 11, 128360, 130314, 2162, 78, 128380, 128375, 129023, 129677, 128265, 125440, 46051, 128387, 25, 132856, 132870, 11, 132856, 128935, 128482, 47742, 132856, 128251, 11, 82129, 77, 133247, 128310, 128328, 13, 134914, 128250, 129023, 129677, 128479, 128292, 11, 2162, 78, 136338, 11, 128273, 128322, 128760, 128417, 129551, 129188, 135518, 137384, 97483, 11, 128334, 129065, 132856, 47742, 128292, 79668, 129367, 129922, 126370, 130179, 47742, 130314, 2162, 78, 128380, 128375, 26, 128943, 128855, 128249, 65526, 128331, 128479, 128292, 128380, 128375, 2162, 78, 279, 78, 129784, 128361, 128319, 128400, 128250, 78228, 128301, 11, 78228, 126341, 128502, 128664, 128384, 13, 134914, 128250, 131912, 128425, 132197, 11, 128360, 128362, 128531, 128818, 128265, 65526, 128375, 47742, 128322, 133795, 279, 78, 128498, 128451, 59735, 126260, 128331, 13, 451, 8835, 968, 129427, 130554, 1187, 78, 128285, 73525, 131912, 128425, 128350, 220, 20, 20, 4, 128290, 220, 17, 15, 16, 20, 47742, 220, 22, 15, 4, 128290, 220, 17, 15, 17, 15, 13, 135322, 128531, 308, 9917, 71, 126260, 128331, 62029, 128781, 26, 28776, 128311, 95082, 135984, 23165, 125531, 653, 27924, 128386, 128740, 128284, 47742, 128726, 92105, 62029, 128781, 131763, 135578, 133795, 134383, 131167, 595, 20868, 128384, 11, 128830, 128726, 130179, 128338, 128529, 129528, 11, 130314, 129427, 130554, 130889, 131072, 59735, 128365, 131531, 78228, 128310, 129556, 129822, 128319, 128350, 220, 18, 16, 12, 220, 18, 17, 4, 86139, 128290, 220, 17, 15, 16, 20, 47742, 220, 18, 20, 4, 86139, 128290, 220, 17, 15, 17, 15, 13, 1599, 124317, 128855, 128457, 128573, 128403, 133795, 131140, 131520, 133817, 129506, 128509, 37915, 23165, 124692, 14854, 94313, 129108, 128415, 128362, 94576, 39486, 129659, 47742, 128336, 129916, 59735, 128457, 128573, 128403, 133795, 131140, 131520, 13, 136909, 133795, 131140, 131520, 37915, 131167, 65742, 968, 11, 37915, 128448, 128653, 2600, 128289, 128362, 128531, 11, 2600, 128289, 128830, 128507, 128322, 133795, 595, 20868, 128384, 13, 139333, 129655, 128289, 128278, 128379, 2600, 128403, 133795, 131140, 131520, 128327, 342, 1103, 73525, 79126, 77374, 130862, 128249, 128375, 130498, 129861, 130291, 11, 128344, 128320, 132058, 773, 128250, 128498, 128451, 128362, 128531, 47742, 128780, 521, 2185, 128487, 128320, 128271, 129553, 135153, 11, 128487, 37915, 128406, 124414, 124760, 77, 128465, 128263, 128277, 128362, 128531, 595, 20868, 128384, 128847, 128410, 13, 133357, 129553, 135153, 96535, 128266, 128757, 128738, 129455, 137205, 128250, 131265, 52537, 11, 138117, 128327, 342, 1103, 129480, 92430, 61758, 128585, 11, 128266, 128529, 25798, 128812, 11, 128757, 128423, 128432, 47742, 128738, 129623, 23686, 71, 11, 128266, 128529, 521, 5498, 16719, 130554, 331, 129240, 128480, 129181, 64061, 126260, 11, 132234, 138757, 11, 129181, 78228, 129838, 13, 386, 92704, 128575, 128263, 128290, 220, 17, 15, 17, 15, 11, 128324, 29974, 128322, 128450, 128570, 64061, 128301, 62029, 128386, 279, 78, 128846, 128283, 128479, 13, 129005, 69086, 128253, 128575, 128997, 59735, 128301, 62029, 128386, 279, 78, 128846, 128283, 128479, 37915, 128301, 28776, 128322, 128760, 128853, 128380, 129531, 128859, 11, 128403, 133795, 131140, 131520, 595, 20868, 128384, 12, 128847, 128410, 128283, 128479, 13, 129024, 128424, 136855, 279, 78, 62029, 128284, 129372, 128424, 11, 128301, 62029, 128386, 279, 78, 128846, 128283, 128479, 37915, 128301, 28776, 128403, 133795, 131140, 131520, 595, 20868, 128384, 47742, 128403, 133795, 131140, 131520, 128847, 128410, 128283, 128479, 13, 136909, 133795, 131140, 131520, 595, 20868, 128384, 37915, 128401, 128366, 128322, 128760, 131140, 131520, 128417, 129551, 129372, 128424, 2600, 128362, 128531, 595, 20868, 128384, 11, 130068, 25, 129461, 141593, 342, 22516, 92430, 129984, 130897, 26, 129461, 141593, 128376, 136122, 128301, 11, 128484, 11, 129019, 26, 129461, 141593, 293, 125672, 128311, 12, 3275, 125115, 92430, 11, 92430, 24790, 128542, 133043, 26, 128457, 128573, 132601, 128994, 13, 136909, 133795, 131140, 131520, 128847, 128410, 37915, 128401, 128366, 128322, 128760, 131140, 131520, 128417, 129551, 129372, 128424, 2600, 128362, 128531, 128847, 128410, 11, 130068, 25, 128275, 128269, 11, 78228, 128322, 128760, 128331, 128292, 11, 379, 128384, 11, 128683, 128585, 26, 128322, 128760, 130693, 129156, 72067, 64, 128292, 26, 62029, 128361, 62029, 130700, 26, 128322, 128760, 47742, 62029, 128361, 128417, 129067, 129991, 128331, 141937, 136855, 279, 78, 128431, 129598, 128853, 128380, 47742, 22693, 128853, 128380, 11, 128301, 62029, 128386, 128283, 128479, 28776, 128403, 133795, 131140, 131520, 137142, 47742, 128403, 133795, 131140, 131520, 131328, 13, 136909, 133795, 131140, 131520, 137142, 37915, 128401, 128366, 128322, 128760, 131140, 131520, 128853, 128380, 128417, 129551, 128362, 128531, 595, 20868, 128384, 12, 128847, 128410, 13, 136909, 133795, 131140, 131520, 131328, 37915, 128401, 128366, 128322, 128760, 129963, 128513, 11, 128322, 128751, 11, 128311, 95082, 11, 92430, 24790, 136822, 128250, 128597, 9765, 25232, 390, 128251, 11, 128417, 129551, 128362, 128531, 595, 20868, 128384, 12, 128847, 128410, 13, 129496, 259, 20868, 129719, 96535, 11, 79668, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 128750, 128301, 11, 134355, 9450, 79126, 129506, 128509, 12789, 23165, 124692, 14854, 94313, 129108, 308, 124634, 128273, 128311, 37915, 131763, 132668, 128818, 128277, 128386, 62029, 128386, 128585, 11, 128283, 128479, 128585, 11, 128930, 128750, 128301, 128362, 128531, 308, 9917, 71, 11, 135268, 135584, 47742, 128424, 128884, 130314, 2162, 78, 128444, 128314, 59735, 128324, 29974, 128273, 128331, 128664, 128384, 1725, 13, 92155, 132896, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 37059, 128410, 134355, 53243, 128250, 78228, 23165, 124692, 14854, 94313, 129108, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133784, 132972, 142226, 136312, 128362, 128531, 595, 20868, 128384, 12, 128847, 128410, 220, 17, 15, 16, 16, 12, 220, 17, 15, 17, 15, 79126, 129506, 128509, 12789, 23165, 124692, 14854, 94313, 129108, 25, 128254, 128751, 11, 129738, 128310, 128599, 47742, 128403, 133795, 131140, 131520, 13, 130244, 128311, 37915, 521, 23531, 64, 131774, 922, 276, 128550, 79668, 132668, 128818, 128277, 128386, 24872, 39, 481, 472, 40225, 39, 11, 128930, 128750, 128301, 128362, 128531, 308, 9917, 71, 11, 135268, 135584, 624, 40225, 37059, 128410, 53243, 134406, 128960, 15122, 94994, 128290, 220, 17, 15, 16, 15, 128727, 23165, 963, 79, 85852, 128250, 128403, 128432, 129822, 922, 16685, 37915, 130203, 128830, 128444, 128314, 59735, 128324, 29974, 94576, 131270, 128301, 28776, 77374, 62572, 132058, 28240, 131270, 128301, 28776, 77374, 62572, 489, 2185, 128823, 26, 128444, 128314, 128750, 128301, 63478, 130314, 2162, 78, 128273, 128331, 128664, 128384, 26, 94994, 128290, 220, 17, 15, 16, 16, 128727, 92105, 128802, 128278, 11, 129367, 15122, 142122, 132551, 128250, 129203, 128575, 128263, 128290, 220, 17, 15, 17, 15, 128322, 128450, 128570, 64061, 128301, 62029, 128386, 279, 78, 128846, 128283, 128479, 13, 133784, 132972, 142226, 136312, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 220, 17, 15, 16, 16, 12, 220, 17, 15, 17, 15, 79126, 129506, 128509, 12789, 23165, 124692, 14854, 94313, 129108, 25, 128254, 128751, 11, 129738, 128310, 128599, 47742, 128403, 133795, 131140, 131520, 13, 17275, 88602, 130509, 128254, 128751, 451, 69243, 595, 20868, 128384, 126199, 134355, 11, 129645, 128301, 11, 128310, 128394, 9450, 129506, 128509, 37915, 131167, 595, 20868, 128384, 126260, 128331, 128333, 128846, 128847, 128410, 128427, 129598, 13, 730, 20868, 128384, 126260, 128331, 37915, 128403, 128432, 129202, 129553, 59735, 85636, 128415, 61758, 128585, 128271, 64061, 128463, 11, 37915, 128249, 69086, 128253, 128811, 85536, 272, 125456, 326, 11151, 72, 69086, 128448, 326, 87939, 50327, 97516, 92105, 59735, 134355, 9450, 13, 17275, 88602, 130509, 595, 20868, 128384, 126260, 128331, 37915, 128643, 130509, 78228, 129553, 129556, 11, 78228, 128433, 126260, 128331, 47742, 28776, 129991, 128331, 129623, 23686, 71, 128823, 136338, 11, 69086, 128270, 128550, 128396, 37915, 128425, 128980, 129991, 128331, 129623, 23686, 71, 128823, 136338, 481, 129623, 23686, 71, 128411, 128365, 131531, 11, 128380, 128375, 11, 128423, 128432, 13, 135433, 78228, 128387, 96535, 11, 128283, 128487, 128320, 128253, 129572, 128751, 11, 128633, 130569, 128360, 63478, 922, 276, 128396, 128643, 130509, 69086, 128253, 128290, 128447, 13, 84137, 6592, 128403, 94994, 94995, 62572, 126778, 128502, 137048, 131537, 131346, 128449, 320, 54, 5207, 701, 128327, 129572, 79668, 128324, 29974, 128830, 128726, 47742, 63478, 62029, 128370, 37915, 131167, 595, 20868, 128384, 126260, 128331, 138117, 128281, 37915, 220, 17, 15, 16, 22, 26, 128263, 308, 352, 79126, 28776, 128249, 65526, 64061, 97483, 99133, 79126, 62029, 128370, 47742, 922, 276, 128457, 1031, 61452, 128627, 11, 128278, 128379, 279, 78, 128575, 129311, 96535, 13, 128324, 29974, 128360, 132611, 128904, 128253, 129572, 128751, 11, 128633, 130569, 128283, 128272, 79668, 132668, 308, 9917, 71, 129263, 128361, 96535, 79668, 28776, 128444, 128314, 92105, 69086, 922, 276, 128457, 128560, 131537, 11, 128278, 128379, 128250, 78228, 64061, 97483, 69086, 99133, 13, 350, 4076, 128452, 11, 595, 20868, 128384, 126260, 128331, 128268, 28776, 128253, 128387, 130641, 59735, 128525, 13, 140401, 128846, 128847, 128410, 128427, 129598, 128265, 128336, 128380, 37915, 28776, 128277, 129270, 128356, 128275, 128301, 11, 279, 78, 128333, 128846, 128394, 136949, 11, 128301, 128818, 11, 128394, 128427, 11, 62029, 128411, 11, 128683, 1308, 71, 11, 128425, 128277, 128362, 128531, 135268, 135584, 2600, 128750, 128301, 13, 140401, 128846, 96535, 138585, 129087, 128282, 28776, 129030, 259, 352, 129347, 128338, 59735, 129645, 128301, 11, 128417, 129551, 2600, 128289, 128362, 128531, 595, 20868, 128384, 128282, 128403, 128319, 133844, 130669, 128250, 128362, 128531, 78228, 132122, 128978, 128683, 128585, 11, 128847, 128410, 11, 128336, 128283, 129263, 128366, 47742, 62029, 128411, 128847, 128410, 69086, 128981, 130203, 47742, 128981, 128311, 95082, 128362, 128531, 13, 1163, 644, 128270, 128550, 128396, 37915, 128425, 128980, 129991, 128331, 129623, 23686, 71, 11, 128823, 136338, 47742, 131867, 128328, 128373, 128311, 11, 128281, 37915, 128799, 128884, 128373, 128311, 13, 50327, 94313, 129108, 128265, 128254, 128751, 128727, 135984, 23165, 125531, 128266, 136949, 128319, 128513, 11, 23165, 2143, 133457, 78228, 129738, 128599, 59735, 78228, 64061, 128463, 595, 20868, 128384, 11, 128439, 128365, 128285, 128688, 128425, 11, 132611, 128904, 128439, 128823, 129866, 26, 128727, 132611, 128904, 128266, 136949, 128633, 128319, 128513, 11, 128425, 128334, 129065, 79668, 128251, 138816, 348, 18934, 67657, 128350, 136122, 138816, 11, 128757, 521, 5498, 16719, 130554, 331, 136949, 138816, 11, 135322, 128531, 129738, 128310, 128599, 451, 8717, 125196, 128310, 128599, 63478, 1062, 72, 37915, 128249, 14854, 94313, 129108, 11, 128249, 128387, 128415, 128362, 94576, 39486, 129659, 128788, 128589, 311, 128465, 59735, 129553, 129556, 96535, 130985, 69086, 78228, 134666, 922, 276, 128457, 129181, 128811, 128599, 47742, 130906, 128599, 11, 129181, 78228, 129553, 129556, 59735, 128529, 129528, 320, 75, 3441, 128285, 11, 130498, 128278, 128379, 11, 128556, 129031, 131265, 128452, 11, 128422, 128279, 11, 129531, 128859, 12, 62029, 128781, 59564, 128387, 128354, 128415, 128362, 94576, 128336, 129916, 11, 128788, 128589, 37915, 128253, 129572, 128751, 11, 128633, 130569, 128265, 128322, 133795, 1187, 78, 128285, 11, 128265, 129427, 130554, 1187, 78, 128285, 79126, 73525, 131912, 128425, 11, 128265, 128365, 131531, 1187, 78, 128285, 11, 50327, 94313, 129108, 128265, 129738, 128310, 128599, 11, 128249, 128387, 128282, 128401, 128284, 129738, 1187, 78, 128285, 320, 8212, 21742, 76, 129427, 130554, 130034, 128386, 11, 128757, 129427, 130554, 130502, 128289, 128266, 59564, 128830, 128507, 128322, 133795, 1187, 78, 128285, 320, 331, 125550, 1187, 78, 128285, 132234, 128386, 28240, 62029, 128386, 11, 128507, 128367, 11, 1215, 128387, 128354, 11, 922, 276, 128550, 128304, 37915, 130314, 2162, 78, 128380, 128375, 129738, 128310, 128599, 11, 79668, 130314, 2162, 78, 128365, 131531, 1187, 78, 128285, 481, 129553, 129556, 128322, 128450, 79668, 128529, 128423, 128432, 11, 128738, 129623, 23686, 71, 11, 19953, 125913, 128751, 326, 125252, 128362, 11, 19953, 125913, 128751, 62572, 132539, 11, 129024, 72067, 64, 128292, 481, 62029, 128781, 37915, 128285, 128599, 59735, 128529, 129528, 47742, 128362, 128531, 135268, 135584, 11, 128291, 129023, 129677, 481, 131912, 128425, 37915, 521, 23531, 64, 131774, 59735, 72067, 64, 128292, 481, 62029, 128781, 13, 130629, 128490, 11, 14854, 94313, 129108, 128265, 129738, 128310, 128599, 11, 128281, 37915, 129738, 128310, 128599, 28776, 128380, 128375, 2162, 78, 28776, 46051, 128811, 85536, 922, 276, 128550, 128281, 37915, 128726, 92105, 129209, 128450, 11, 128401, 129054, 131167, 129023, 129677, 128664, 128394, 26, 128329, 128327, 128362, 128531, 47742, 128740, 128284, 72067, 64, 128292, 12, 62029, 128781, 13, 50327, 97516, 92105, 129209, 128450, 11, 128401, 129054, 131167, 129023, 129677, 128664, 128394, 28776, 128271, 128811, 85536, 11, 128553, 489, 2185, 2600, 128289, 130314, 2162, 78, 128380, 128375, 129023, 129677, 13, 134914, 128250, 129023, 129677, 132175, 92430, 11, 128360, 130314, 2162, 78, 128380, 128375, 129023, 129677, 128265, 125440, 46051, 128387, 25, 132856, 132870, 11, 132856, 128935, 128482, 47742, 132856, 128251, 11, 82129, 77, 133247, 128310, 128328, 13, 134914, 128250, 129023, 129677, 128479, 128292, 11, 2162, 78, 136338, 11, 128273, 128322, 128760, 128417, 129551, 129188, 135518, 137384, 97483, 11, 128334, 129065, 132856, 47742, 128292, 79668, 129367, 129922, 126370, 130179, 47742, 130314, 2162, 78, 128380, 128375, 26, 128943, 128855, 128249, 65526, 128331, 128479, 128292, 128380, 128375, 2162, 78, 279, 78, 129784, 128361, 128319, 128400, 128250, 78228, 128301, 11, 78228, 126341, 128502, 128664, 128384, 13, 134914, 128250, 131912, 128425, 132197, 11, 128360, 128362, 128531, 128818, 128265, 65526, 128375, 47742, 128322, 133795, 279, 78, 128498, 128451, 59735, 126260, 128331, 13, 451, 8835, 968, 129427, 130554, 1187, 78, 128285, 73525, 131912, 128425, 128350, 220, 20, 20, 4, 128290, 220, 17, 15, 16, 20, 47742, 220, 22, 15, 4, 128290, 220, 17, 15, 17, 15, 13, 135322, 128531, 308, 9917, 71, 126260, 128331, 62029, 128781, 26, 28776, 128311, 95082, 135984, 23165, 125531, 653, 27924, 128386, 128740, 128284, 47742, 128726, 92105, 62029, 128781, 131763, 135578, 133795, 134383, 131167, 595, 20868, 128384, 11, 128830, 128726, 130179, 128338, 128529, 129528, 11, 130314, 129427, 130554, 130889, 131072, 59735, 128365, 131531, 78228, 128310, 129556, 129822, 128319, 128350, 220, 18, 16, 12, 220, 18, 17, 4, 86139, 128290, 220, 17, 15, 16, 20, 47742, 220, 18, 20, 4, 86139, 128290, 220, 17, 15, 17, 15, 13, 1599, 124317, 128855, 128457, 128573, 128403, 133795, 131140, 131520, 133817, 129506, 128509, 37915, 23165, 124692, 14854, 94313, 129108, 128415, 128362, 94576, 39486, 129659, 47742, 128336, 129916, 59735, 128457, 128573, 128403, 133795, 131140, 131520, 13, 136909, 133795, 131140, 131520, 37915, 131167, 65742, 968, 11, 37915, 128448, 128653, 2600, 128289, 128362, 128531, 11, 2600, 128289, 128830, 128507, 128322, 133795, 595, 20868, 128384, 13, 139333, 129655, 128289, 128278, 128379, 2600, 128403, 133795, 131140, 131520, 128327, 342, 1103, 73525, 79126, 77374, 130862, 128249, 128375, 130498, 129861, 130291, 11, 128344, 128320, 132058, 773, 128250, 128498, 128451, 128362, 128531, 47742, 128780, 521, 2185, 128487, 128320, 128271, 129553, 135153, 11, 128487, 37915, 128406, 124414, 124760, 77, 128465, 128263, 128277, 128362, 128531, 595, 20868, 128384, 128847, 128410, 13, 133357, 129553, 135153, 96535, 128266, 128757, 128738, 129455, 137205, 128250, 131265, 52537, 11, 138117, 128327, 342, 1103, 129480, 92430, 61758, 128585, 11, 128266, 128529, 25798, 128812, 11, 128757, 128423, 128432, 47742, 128738, 129623, 23686, 71, 11, 128266, 128529, 521, 5498, 16719, 130554, 331, 129240, 128480, 129181, 64061, 126260, 11, 132234, 138757, 11, 129181, 78228, 129838, 13, 386, 92704, 128575, 128263, 128290, 220, 17, 15, 17, 15, 11, 128324, 29974, 128322, 128450, 128570, 64061, 128301, 62029, 128386, 279, 78, 128846, 128283, 128479, 13, 129005, 69086, 128253, 128575, 128997, 59735, 128301, 62029, 128386, 279, 78, 128846, 128283, 128479, 37915, 128301, 28776, 128322, 128760, 128853, 128380, 129531, 128859, 11, 128403, 133795, 131140, 131520, 595, 20868, 128384, 12, 128847, 128410, 128283, 128479, 13, 129024, 128424, 136855, 279, 78, 62029, 128284, 129372, 128424, 11, 128301, 62029, 128386, 279, 78, 128846, 128283, 128479, 37915, 128301, 28776, 128403, 133795, 131140, 131520, 595, 20868, 128384, 47742, 128403, 133795, 131140, 131520, 128847, 128410, 128283, 128479, 13, 136909, 133795, 131140, 131520, 595, 20868, 128384, 37915, 128401, 128366, 128322, 128760, 131140, 131520, 128417, 129551, 129372, 128424, 2600, 128362, 128531, 595, 20868, 128384, 11, 130068, 25, 129461, 141593, 342, 22516, 92430, 129984, 130897, 26, 129461, 141593, 128376, 136122, 128301, 11, 128484, 11, 129019, 26, 129461, 141593, 293, 125672, 128311, 12, 3275, 125115, 92430, 11, 92430, 24790, 128542, 133043, 26, 128457, 128573, 132601, 128994, 13, 136909, 133795, 131140, 131520, 128847, 128410, 37915, 128401, 128366, 128322, 128760, 131140, 131520, 128417, 129551, 129372, 128424, 2600, 128362, 128531, 128847, 128410, 11, 130068, 25, 128275, 128269, 11, 78228, 128322, 128760, 128331, 128292, 11, 379, 128384, 11, 128683, 128585, 26, 128322, 128760, 130693, 129156, 72067, 64, 128292, 26, 62029, 128361, 62029, 130700, 26, 128322, 128760, 47742, 62029, 128361, 128417, 129067, 129991, 128331, 141937, 136855, 279, 78, 128431, 129598, 128853, 128380, 47742, 22693, 128853, 128380, 11, 128301, 62029, 128386, 128283, 128479, 28776, 128403, 133795, 131140, 131520, 137142, 47742, 128403, 133795, 131140, 131520, 131328, 13, 136909, 133795, 131140, 131520, 137142, 37915, 128401, 128366, 128322, 128760, 131140, 131520, 128853, 128380, 128417, 129551, 128362, 128531, 595, 20868, 128384, 12, 128847, 128410, 13, 136909, 133795, 131140, 131520, 131328, 37915, 128401, 128366, 128322, 128760, 129963, 128513, 11, 128322, 128751, 11, 128311, 95082, 11, 92430, 24790, 136822, 128250, 128597, 9765, 25232, 390, 128251, 11, 128417, 129551, 128362, 128531, 595, 20868, 128384, 12, 128847, 128410, 13, 129496, 259, 20868, 129719, 96535, 11, 79668, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 128750, 128301, 11, 134355, 9450, 79126, 129506, 128509, 12789, 23165, 124692, 14854, 94313, 129108, 308, 124634, 128273, 128311, 37915, 131763, 132668, 128818, 128277, 128386, 62029, 128386, 128585, 11, 128283, 128479, 128585, 11, 128930, 128750, 128301, 128362, 128531, 308, 9917, 71, 11, 135268, 135584, 47742, 128424, 128884, 130314, 2162, 78, 128444, 128314, 59735, 128324, 29974, 128273, 128331, 128664, 128384, 1725, 13, 92155, 132896, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923 ]
1,924
[ 42, 127316, 132686, 220, 16, 15, 15, 128290, 128300, 97832, 128436, 131699, 129938, 663, 41603, 198, 785, 78, 521, 20868, 759, 84, 75157, 11, 128688, 220, 24, 12, 16, 15, 11, 129018, 29974, 140401, 79126, 126341, 128502, 296, 16095, 2385, 20868, 132551, 132686, 220, 16, 15, 15, 128290, 128300, 97832, 128436, 131699, 129938, 663, 41603, 320, 16, 15, 12, 16, 15, 12, 16, 24, 16, 16, 1365, 220, 16, 15, 12, 16, 15, 12, 17, 15, 16, 16, 4292, 51, 37059, 131309, 132551, 132686, 11, 128436, 131699, 135196, 1527, 71, 11, 142394, 97483, 129029, 129591, 128466, 11, 141948, 129372, 22730, 134082, 129101, 11, 136732, 128333, 128436, 326, 5498, 129938, 663, 41603, 37915, 128249, 69086, 128253, 128251, 128292, 129659, 128415, 129222, 59735, 130085, 131443, 129785, 131868, 92155, 11, 128251, 129009, 128916, 128328, 129461, 139824, 132300, 11, 128251, 132356, 128366, 131400, 128854, 128556, 128365, 11, 136949, 595, 20868, 128990, 624, 131371, 968, 131699, 129938, 663, 41603, 11, 129031, 142394, 97483, 129029, 129591, 128466, 11, 129031, 134082, 129101, 1163, 2185, 220, 85375, 134355, 11, 129031, 1163, 124886, 8943, 126778, 128502, 1163, 2185, 220, 85375, 11, 129031, 356, 27607, 128580, 22730, 910, 124614, 128373, 1163, 2185, 220, 85375, 134355, 11, 129064, 23165, 2143, 97832, 37915, 2350, 276, 136929, 20165, 75050, 11, 97832, 128300, 220, 16, 15, 12, 16, 15, 12, 16, 24, 16, 16, 128272, 128847, 50327, 124506, 444, 124417, 11, 131210, 128819, 444, 124510, 320, 77, 352, 37915, 128847, 29974, 136269, 11, 29070, 29974, 140401, 11, 129018, 29974, 140401, 4292, 34, 125432, 69086, 137789, 96535, 11, 129018, 29974, 140401, 79126, 129367, 129137, 128531, 131399, 76, 128492, 128379, 88057, 128265, 128564, 129169, 128623, 128285, 128328, 129461, 59735, 128436, 131699, 129938, 663, 41603, 26, 126341, 128502, 128285, 140926, 126258, 128595, 131867, 128425, 11, 130314, 128376, 127980, 129608, 132686, 128436, 128272, 128847, 29974, 136269, 624, 2954, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42, 127316, 132686, 220, 16, 15, 15, 128290, 128300, 97832, 128436, 131699, 129938, 663, 41603, 198, 785, 78, 521, 20868, 759, 84, 75157, 11, 128688, 220, 24, 12, 16, 15, 11, 129018, 29974, 140401, 79126, 126341, 128502, 296, 16095, 2385, 20868, 132551, 132686, 220, 16, 15, 15, 128290, 128300, 97832, 128436, 131699, 129938, 663, 41603, 320, 16, 15, 12, 16, 15, 12, 16, 24, 16, 16, 1365, 220, 16, 15, 12, 16, 15, 12, 17, 15, 16, 16, 4292, 51, 37059, 131309, 132551, 132686, 11, 128436, 131699, 135196, 1527, 71, 11, 142394, 97483, 129029, 129591, 128466, 11, 141948, 129372, 22730, 134082, 129101, 11, 136732, 128333, 128436, 326, 5498, 129938, 663, 41603, 37915, 128249, 69086, 128253, 128251, 128292, 129659, 128415, 129222, 59735, 130085, 131443, 129785, 131868, 92155, 11, 128251, 129009, 128916, 128328, 129461, 139824, 132300, 11, 128251, 132356, 128366, 131400, 128854, 128556, 128365, 11, 136949, 595, 20868, 128990, 624, 131371, 968, 131699, 129938, 663, 41603, 11, 129031, 142394, 97483, 129029, 129591, 128466, 11, 129031, 134082, 129101, 1163, 2185, 220, 85375, 134355, 11, 129031, 1163, 124886, 8943, 126778, 128502, 1163, 2185, 220, 85375, 11, 129031, 356, 27607, 128580, 22730, 910, 124614, 128373, 1163, 2185, 220, 85375, 134355, 11, 129064, 23165, 2143, 97832, 37915, 2350, 276, 136929, 20165, 75050, 11, 97832, 128300, 220, 16, 15, 12, 16, 15, 12, 16, 24, 16, 16, 128272, 128847, 50327, 124506, 444, 124417, 11, 131210, 128819, 444, 124510, 320, 77, 352, 37915, 128847, 29974, 136269, 11, 29070, 29974, 140401, 11, 129018, 29974, 140401, 4292, 34, 125432, 69086, 137789, 96535, 11, 129018, 29974, 140401, 79126, 129367, 129137, 128531, 131399, 76, 128492, 128379, 88057, 128265, 128564, 129169, 128623, 128285, 128328, 129461, 59735, 128436, 131699, 129938, 663, 41603, 26, 126341, 128502, 128285, 140926, 126258, 128595, 131867, 128425, 11, 130314, 128376, 127980, 129608, 132686, 128436, 128272, 128847, 29974, 136269, 624, 2954, 624, 151645 ]
[ 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
[ 45351, 124778, 128884, 128250, 128380, 128375, 2162, 78, 128304, 78228, 128564, 129984, 128285, 458, 97832, 128847, 128410, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 129591, 130388, 128267, 128340, 140366, 130121, 126778, 128664, 128324, 29974, 131628, 128319, 137277, 521, 124760, 128304, 69086, 128289, 128531, 23165, 2143, 78228, 128564, 129984, 128285, 128323, 128422, 128336, 47742, 28776, 128431, 129598, 96535, 11, 130390, 131943, 129591, 130388, 136732, 128333, 624, 20897, 53022, 220, 16, 23, 14, 16, 15, 11, 142394, 8943, 1163, 2185, 220, 85375, 140366, 130121, 126778, 128664, 320, 8505, 51, 48, 8, 128324, 29974, 79126, 126341, 128502, 129935, 130097, 128401, 128664, 129822, 128403, 220, 16, 20, 128290, 61328, 141305, 128336, 128283, 141380, 129984, 128285, 2014, 88602, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 47742, 220, 16, 15, 128290, 128336, 128283, 141380, 129984, 128285, 131160, 128378, 128251, 138816, 13, 130390, 131943, 128984, 350, 124644, 142840, 47742, 131400, 128854, 78228, 128366, 11, 8943, 11, 129857, 11, 131400, 128854, 78228, 129018, 11, 64061, 137930, 79126, 126258, 129935, 130097, 13, 328, 90063, 130489, 11, 128943, 128855, 128304, 220, 16, 129077, 129209, 128275, 2600, 126469, 138816, 133602, 129410, 59735, 142394, 8943, 1163, 2185, 220, 85375, 386, 14903, 48, 128324, 29974, 2600, 128345, 11, 32154, 220, 16, 20, 128290, 128336, 128283, 141380, 129984, 128285, 330, 1249, 88602, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 497, 79126, 28776, 128304, 220, 24, 23, 4, 127980, 128394, 129447, 128273, 125440, 128301, 320, 16, 15, 19, 14, 16, 15, 21, 142876, 127980, 128394, 129447, 8, 128761, 129541, 129589, 128740, 270, 309, 94995, 26, 79126, 28776, 128273, 220, 21, 16, 11, 19, 4, 127980, 128394, 129447, 320, 21, 20, 142876, 873, 63478, 62029, 128370, 98896, 128423, 128924, 129263, 26, 128304, 220, 20, 15, 4, 127980, 128394, 129447, 320, 20, 18, 142876, 8, 63478, 62029, 128370, 37915, 730, 16739, 128394, 129447, 128683, 128585, 47742, 128914, 220, 22, 15, 4, 94995, 128890, 320, 16, 20, 14, 17, 17, 11, 21, 142876, 8, 63478, 62029, 128370, 98896, 128423, 479, 685, 128890, 128683, 128585, 13, 129496, 128564, 129984, 128285, 131160, 128378, 128251, 138816, 11, 32154, 220, 16, 15, 128290, 128362, 128285, 1154, 128263, 128526, 220, 24, 14, 17, 15, 16, 15, 128269, 220, 19, 128376, 69086, 125440, 128301, 79126, 129984, 128285, 63478, 220, 20, 13, 16, 17, 15, 129427, 128329, 13, 130303, 73525, 141380, 129984, 128285, 11, 61758, 129077, 134628, 128251, 138816, 63478, 128430, 137205, 79668, 128362, 128531, 85636, 128415, 11, 131797, 130489, 128453, 11, 128292, 97832, 390, 94995, 128890, 138816, 28776, 128334, 129065, 73586, 128292, 11, 61758, 521, 92704, 348, 49886, 126469, 138816, 63478, 128430, 137205, 128730, 136832, 128263, 11, 94994, 13535, 125478, 134761, 128678, 129784, 128361, 128354, 128260, 451, 87939, 130604, 259, 352, 128465, 128378, 128251, 138816, 79126, 77374, 130862, 128271, 136562, 98170, 137658, 128396, 128260, 128272, 131571, 220, 18, 16, 14, 16, 17, 14, 17, 15, 15, 24, 65526, 128515, 129418, 129212, 141718, 126469, 128350, 128263, 220, 19, 13, 24, 15, 15, 129427, 128329, 13, 131786, 128361, 386, 124900, 220, 126424, 2600, 128251, 138816, 128837, 135547, 128449, 138650, 131638, 128268, 79126, 128370, 63478, 128277, 129589, 128740, 128761, 129541, 59735, 58701, 128310, 11, 126341, 128502, 11, 653, 27924, 128386, 13, 3406, 64, 220, 17, 128290, 128531, 23165, 2143, 79126, 129984, 128285, 129738, 128599, 128943, 128855, 63478, 220, 18, 13, 21, 21, 24, 129209, 128275, 129393, 129675, 128403, 11, 220, 16, 20, 15, 62029, 128361, 128394, 97832, 128466, 128309, 128914, 220, 16, 20, 15, 129427, 128329, 13, 130232, 129738, 3406, 125093, 128378, 128251, 138816, 47742, 128277, 129481, 128886, 59735, 129645, 128301, 11, 128277, 270, 309, 94995, 59735, 78228, 58701, 128310, 11, 653, 27924, 128386, 11, 128277, 348, 18934, 67657, 128350, 59735, 128311, 78228, 126469, 138816, 11, 128263, 308, 352, 125440, 128301, 79126, 128943, 128855, 47742, 132038, 130489, 220, 16, 13, 15, 20, 16, 13, 24, 22, 18, 129209, 128275, 2600, 126469, 138816, 13, 135433, 128675, 128846, 11, 129414, 128367, 128336, 128283, 220, 17, 128564, 129984, 128285, 69086, 220, 20, 128290, 128447, 11, 142394, 8943, 1163, 2185, 220, 85375, 386, 14903, 48, 128324, 29974, 2600, 128640, 11, 128360, 128424, 128884, 128336, 128283, 11, 130314, 2162, 78, 128380, 128375, 11, 130623, 39339, 128811, 85536, 128265, 128943, 128855, 132234, 138757, 92105, 11, 130287, 126260, 128683, 1308, 71, 128250, 128675, 521, 86728, 128846, 128265, 128322, 128760, 11, 130700, 128329, 128394, 129447, 13, 135322, 305, 4076, 39486, 129659, 128427, 128285, 11, 128688, 128425, 59735, 386, 14903, 48, 69086, 270, 309, 296, 125672, 128250, 128376, 137930, 11, 128311, 128918, 11, 78228, 126341, 128502, 64061, 97483, 128425, 128622, 129738, 128599, 2600, 220, 17, 128564, 129984, 128285, 13, 129591, 130388, 128267, 131628, 128319, 137277, 521, 124760, 128304, 128250, 386, 14903, 48, 135322, 129626, 128272, 129935, 130097, 11, 270, 352, 128387, 129591, 130388, 11, 130390, 131943, 128984, 350, 124644, 142840, 11386, 276, 124414, 5498, 16719, 128253, 128403, 128432, 79126, 129664, 63478, 59735, 220, 17, 128564, 129984, 128285, 47742, 128277, 130889, 131072, 311, 128465, 59735, 386, 14903, 48, 86139, 64061, 62029, 59735, 220, 17, 128564, 129984, 128285, 128268, 128260, 128459, 128361, 128943, 128855, 47742, 128726, 92105, 128750, 128301, 13, 130390, 131943, 137429, 128818, 11, 220, 17, 141380, 129984, 128285, 37915, 128406, 128688, 69086, 128623, 128285, 59735, 386, 14903, 48, 128324, 29974, 13, 129639, 130719, 128278, 129591, 130388, 2600, 128640, 11, 220, 16, 15, 128290, 73525, 11, 220, 17, 128564, 129984, 128285, 50196, 143219, 128439, 128310, 128683, 131307, 129222, 96535, 79126, 128336, 128277, 73586, 86139, 98170, 128251, 11, 128362, 305, 4076, 129045, 128573, 129509, 128672, 129509, 18698, 72, 11, 53638, 136382, 14854, 14926, 76, 53638, 48669, 331, 59735, 128394, 133952, 11, 63478, 78228, 128376, 11, 78228, 129857, 11, 78228, 653, 27924, 128386, 11, 128310, 128394, 69086, 128301, 11, 128329, 135774, 128269, 128301, 128703, 47742, 128271, 58701, 128310, 11, 128322, 922, 276, 11, 126341, 128502, 11, 653, 27924, 128386, 128301, 128703, 128272, 128324, 29974, 128761, 129541, 129589, 128740, 13, 142121, 128730, 128352, 128906, 128347, 9450, 129357, 128360, 128424, 128884, 141839, 132630, 47742, 129367, 129922, 78228, 128564, 129984, 128285, 11, 128362, 128285, 78228, 1319, 644, 489, 125017, 61328, 141305, 128498, 128301, 131763, 128362, 305, 4076, 2162, 78, 128368, 128738, 128818, 59735, 135836, 128479, 129675, 128403, 128401, 128394, 133952, 11, 23165, 2143, 133457, 47742, 128353, 128284, 28776, 128423, 128432, 78228, 129738, 128599, 11, 128788, 128589, 37915, 129738, 128599, 311, 128465, 69086, 128310, 128394, 79668, 131072, 128463, 128336, 128283, 131457, 128994, 78228, 129203, 128575, 595, 20868, 128384, 128847, 128410, 59735, 128750, 128301, 11, 272, 128042, 129234, 128943, 128855, 135584, 130052, 135836, 128479, 129675, 128403, 128401, 128394, 11, 69086, 128270, 386, 14903, 48, 128324, 29974, 47742, 78228, 126341, 128502, 64061, 97483, 37915, 128599, 128375, 308, 63775, 272, 125456, 13, 129591, 130388, 6592, 128403, 69086, 128327, 342, 1103, 128447, 128267, 128340, 386, 14903, 48, 131628, 128319, 137277, 521, 124760, 128304, 69086, 128289, 128531, 23165, 2143, 78228, 128564, 129984, 128285, 128323, 128422, 128336, 47742, 28776, 128431, 129598, 96535, 11, 130390, 131943, 136732, 128333, 13, 130526, 128424, 128884, 130314, 2162, 78, 128423, 128432, 46051, 128564, 129984, 128285, 128465, 308, 124634, 128273, 11, 78228, 128376, 137930, 134355, 128282, 1062, 72, 128358, 37915, 128249, 128811, 85536, 922, 276, 128550, 69086, 129784, 128361, 62029, 128400, 79668, 922, 276, 128396, 98127, 128854, 128289, 128531, 23165, 2143, 13, 130390, 131943, 137429, 128818, 11, 78228, 128376, 128311, 128918, 47742, 78228, 128322, 922, 276, 128502, 128365, 128360, 128427, 128285, 131628, 128319, 137277, 521, 124760, 11, 128425, 128334, 129065, 79668, 386, 14903, 48, 128424, 128884, 141839, 132630, 47742, 128362, 128531, 131307, 129922, 128304, 128870, 220, 17, 128564, 129984, 128285, 13, 128678, 128366, 11, 129857, 128427, 128285, 131628, 128319, 128250, 22730, 141948, 129372, 142394, 8943, 1163, 2185, 220, 85375, 386, 14903, 48, 128324, 29974, 132668, 128818, 135593, 129045, 11, 129984, 128285, 78228, 131520, 130192, 128310, 128394, 128336, 128283, 28776, 128423, 128432, 220, 17, 128564, 129984, 128285, 128273, 13, 73061, 8065, 78228, 128376, 128424, 128884, 130623, 39339, 11, 128643, 130509, 3406, 88, 128751, 131628, 128319, 128250, 142394, 8943, 386, 14903, 48, 128340, 128376, 11, 131763, 128529, 132300, 128423, 128432, 62029, 128400, 26, 1062, 72, 46051, 128564, 129984, 128285, 37915, 128249, 69086, 128253, 128811, 85536, 128550, 128396, 69086, 129784, 128361, 131628, 128319, 129181, 128311, 128918, 78228, 128376, 128250, 142394, 8943, 386, 14903, 48, 128340, 128376, 69086, 128253, 128290, 128447, 26, 14854, 61452, 133796, 11, 129522, 9586, 78228, 128322, 922, 276, 128502, 128365, 128336, 128283, 128418, 129784, 128361, 131628, 128319, 128250, 142394, 8943, 386, 14903, 48, 13, 129029, 130303, 24790, 47742, 141901, 92430, 128427, 132630, 11, 131628, 128319, 128250, 142394, 8943, 386, 14903, 48, 78228, 128376, 98127, 128854, 11, 128846, 128653, 78228, 128322, 922, 276, 92430, 24790, 128479, 128347, 128529, 132300, 62029, 128400, 135593, 129045, 128265, 220, 17, 128564, 129984, 128285, 11, 128449, 132786, 128253, 128328, 128266, 17669, 11, 128253, 130179, 128338, 128418, 11, 129626, 135676, 78228, 138713, 128338, 128924, 129263, 26, 128281, 37915, 128704, 128675, 63478, 595, 12032, 132720, 128272, 129935, 130097, 129822, 128403, 96535, 13, 129591, 130388, 128456, 130097, 142394, 8943, 386, 14903, 48, 78228, 128376, 128424, 128884, 128726, 92105, 125440, 128265, 128811, 85536, 47742, 128675, 128482, 128623, 128285, 11, 128846, 128265, 128322, 128760, 11, 127980, 128394, 129447, 26, 131969, 64061, 128980, 22730, 129984, 128285, 128564, 129984, 128285, 330, 1249, 88602, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 1, 94576, 1163, 2185, 220, 85375, 128263, 128322, 128760, 47742, 131628, 128319, 98127, 128854, 435, 6362, 134814, 11, 130623, 39339, 128575, 128997, 47742, 8943, 128373, 78228, 98896, 128423, 479, 685, 128890, 128683, 128585, 11, 730, 16739, 128394, 129447, 128683, 128585, 13, 137327, 128290, 129263, 128373, 129418, 129212, 11, 128823, 128509, 98896, 128423, 136822, 128250, 128289, 129822, 128403, 128564, 129984, 128285, 47742, 126341, 128502, 131160, 128410, 128479, 129675, 128403, 128401, 128394, 133952, 220, 16, 23, 14, 16, 16, 13, 142394, 8943, 386, 14903, 48, 78228, 128376, 128427, 128285, 128943, 128855, 128495, 130361, 129522, 9586, 11, 133804, 129261, 62029, 128400, 129984, 128285, 11, 128943, 128855, 11, 129270, 128356, 3406, 125093, 128378, 128251, 138816, 26, 129551, 128417, 62029, 23165, 2143, 11, 128394, 128427, 11, 1308, 71, 293, 125202, 69086, 62029, 128400, 129984, 128285, 47742, 128353, 128284, 3406, 125093, 78228, 128376, 13, 131699, 131279, 220, 126884, 16719, 129898, 130726, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 45351, 124778, 128884, 128250, 128380, 128375, 2162, 78, 128304, 78228, 128564, 129984, 128285, 458, 97832, 128847, 128410, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 129591, 130388, 128267, 128340, 140366, 130121, 126778, 128664, 128324, 29974, 131628, 128319, 137277, 521, 124760, 128304, 69086, 128289, 128531, 23165, 2143, 78228, 128564, 129984, 128285, 128323, 128422, 128336, 47742, 28776, 128431, 129598, 96535, 11, 130390, 131943, 129591, 130388, 136732, 128333, 624, 20897, 53022, 220, 16, 23, 14, 16, 15, 11, 142394, 8943, 1163, 2185, 220, 85375, 140366, 130121, 126778, 128664, 320, 8505, 51, 48, 8, 128324, 29974, 79126, 126341, 128502, 129935, 130097, 128401, 128664, 129822, 128403, 220, 16, 20, 128290, 61328, 141305, 128336, 128283, 141380, 129984, 128285, 2014, 88602, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 47742, 220, 16, 15, 128290, 128336, 128283, 141380, 129984, 128285, 131160, 128378, 128251, 138816, 13, 130390, 131943, 128984, 350, 124644, 142840, 47742, 131400, 128854, 78228, 128366, 11, 8943, 11, 129857, 11, 131400, 128854, 78228, 129018, 11, 64061, 137930, 79126, 126258, 129935, 130097, 13, 328, 90063, 130489, 11, 128943, 128855, 128304, 220, 16, 129077, 129209, 128275, 2600, 126469, 138816, 133602, 129410, 59735, 142394, 8943, 1163, 2185, 220, 85375, 386, 14903, 48, 128324, 29974, 2600, 128345, 11, 32154, 220, 16, 20, 128290, 128336, 128283, 141380, 129984, 128285, 330, 1249, 88602, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 497, 79126, 28776, 128304, 220, 24, 23, 4, 127980, 128394, 129447, 128273, 125440, 128301, 320, 16, 15, 19, 14, 16, 15, 21, 142876, 127980, 128394, 129447, 8, 128761, 129541, 129589, 128740, 270, 309, 94995, 26, 79126, 28776, 128273, 220, 21, 16, 11, 19, 4, 127980, 128394, 129447, 320, 21, 20, 142876, 873, 63478, 62029, 128370, 98896, 128423, 128924, 129263, 26, 128304, 220, 20, 15, 4, 127980, 128394, 129447, 320, 20, 18, 142876, 8, 63478, 62029, 128370, 37915, 730, 16739, 128394, 129447, 128683, 128585, 47742, 128914, 220, 22, 15, 4, 94995, 128890, 320, 16, 20, 14, 17, 17, 11, 21, 142876, 8, 63478, 62029, 128370, 98896, 128423, 479, 685, 128890, 128683, 128585, 13, 129496, 128564, 129984, 128285, 131160, 128378, 128251, 138816, 11, 32154, 220, 16, 15, 128290, 128362, 128285, 1154, 128263, 128526, 220, 24, 14, 17, 15, 16, 15, 128269, 220, 19, 128376, 69086, 125440, 128301, 79126, 129984, 128285, 63478, 220, 20, 13, 16, 17, 15, 129427, 128329, 13, 130303, 73525, 141380, 129984, 128285, 11, 61758, 129077, 134628, 128251, 138816, 63478, 128430, 137205, 79668, 128362, 128531, 85636, 128415, 11, 131797, 130489, 128453, 11, 128292, 97832, 390, 94995, 128890, 138816, 28776, 128334, 129065, 73586, 128292, 11, 61758, 521, 92704, 348, 49886, 126469, 138816, 63478, 128430, 137205, 128730, 136832, 128263, 11, 94994, 13535, 125478, 134761, 128678, 129784, 128361, 128354, 128260, 451, 87939, 130604, 259, 352, 128465, 128378, 128251, 138816, 79126, 77374, 130862, 128271, 136562, 98170, 137658, 128396, 128260, 128272, 131571, 220, 18, 16, 14, 16, 17, 14, 17, 15, 15, 24, 65526, 128515, 129418, 129212, 141718, 126469, 128350, 128263, 220, 19, 13, 24, 15, 15, 129427, 128329, 13, 131786, 128361, 386, 124900, 220, 126424, 2600, 128251, 138816, 128837, 135547, 128449, 138650, 131638, 128268, 79126, 128370, 63478, 128277, 129589, 128740, 128761, 129541, 59735, 58701, 128310, 11, 126341, 128502, 11, 653, 27924, 128386, 13, 3406, 64, 220, 17, 128290, 128531, 23165, 2143, 79126, 129984, 128285, 129738, 128599, 128943, 128855, 63478, 220, 18, 13, 21, 21, 24, 129209, 128275, 129393, 129675, 128403, 11, 220, 16, 20, 15, 62029, 128361, 128394, 97832, 128466, 128309, 128914, 220, 16, 20, 15, 129427, 128329, 13, 130232, 129738, 3406, 125093, 128378, 128251, 138816, 47742, 128277, 129481, 128886, 59735, 129645, 128301, 11, 128277, 270, 309, 94995, 59735, 78228, 58701, 128310, 11, 653, 27924, 128386, 11, 128277, 348, 18934, 67657, 128350, 59735, 128311, 78228, 126469, 138816, 11, 128263, 308, 352, 125440, 128301, 79126, 128943, 128855, 47742, 132038, 130489, 220, 16, 13, 15, 20, 16, 13, 24, 22, 18, 129209, 128275, 2600, 126469, 138816, 13, 135433, 128675, 128846, 11, 129414, 128367, 128336, 128283, 220, 17, 128564, 129984, 128285, 69086, 220, 20, 128290, 128447, 11, 142394, 8943, 1163, 2185, 220, 85375, 386, 14903, 48, 128324, 29974, 2600, 128640, 11, 128360, 128424, 128884, 128336, 128283, 11, 130314, 2162, 78, 128380, 128375, 11, 130623, 39339, 128811, 85536, 128265, 128943, 128855, 132234, 138757, 92105, 11, 130287, 126260, 128683, 1308, 71, 128250, 128675, 521, 86728, 128846, 128265, 128322, 128760, 11, 130700, 128329, 128394, 129447, 13, 135322, 305, 4076, 39486, 129659, 128427, 128285, 11, 128688, 128425, 59735, 386, 14903, 48, 69086, 270, 309, 296, 125672, 128250, 128376, 137930, 11, 128311, 128918, 11, 78228, 126341, 128502, 64061, 97483, 128425, 128622, 129738, 128599, 2600, 220, 17, 128564, 129984, 128285, 13, 129591, 130388, 128267, 131628, 128319, 137277, 521, 124760, 128304, 128250, 386, 14903, 48, 135322, 129626, 128272, 129935, 130097, 11, 270, 352, 128387, 129591, 130388, 11, 130390, 131943, 128984, 350, 124644, 142840, 11386, 276, 124414, 5498, 16719, 128253, 128403, 128432, 79126, 129664, 63478, 59735, 220, 17, 128564, 129984, 128285, 47742, 128277, 130889, 131072, 311, 128465, 59735, 386, 14903, 48, 86139, 64061, 62029, 59735, 220, 17, 128564, 129984, 128285, 128268, 128260, 128459, 128361, 128943, 128855, 47742, 128726, 92105, 128750, 128301, 13, 130390, 131943, 137429, 128818, 11, 220, 17, 141380, 129984, 128285, 37915, 128406, 128688, 69086, 128623, 128285, 59735, 386, 14903, 48, 128324, 29974, 13, 129639, 130719, 128278, 129591, 130388, 2600, 128640, 11, 220, 16, 15, 128290, 73525, 11, 220, 17, 128564, 129984, 128285, 50196, 143219, 128439, 128310, 128683, 131307, 129222, 96535, 79126, 128336, 128277, 73586, 86139, 98170, 128251, 11, 128362, 305, 4076, 129045, 128573, 129509, 128672, 129509, 18698, 72, 11, 53638, 136382, 14854, 14926, 76, 53638, 48669, 331, 59735, 128394, 133952, 11, 63478, 78228, 128376, 11, 78228, 129857, 11, 78228, 653, 27924, 128386, 11, 128310, 128394, 69086, 128301, 11, 128329, 135774, 128269, 128301, 128703, 47742, 128271, 58701, 128310, 11, 128322, 922, 276, 11, 126341, 128502, 11, 653, 27924, 128386, 128301, 128703, 128272, 128324, 29974, 128761, 129541, 129589, 128740, 13, 142121, 128730, 128352, 128906, 128347, 9450, 129357, 128360, 128424, 128884, 141839, 132630, 47742, 129367, 129922, 78228, 128564, 129984, 128285, 11, 128362, 128285, 78228, 1319, 644, 489, 125017, 61328, 141305, 128498, 128301, 131763, 128362, 305, 4076, 2162, 78, 128368, 128738, 128818, 59735, 135836, 128479, 129675, 128403, 128401, 128394, 133952, 11, 23165, 2143, 133457, 47742, 128353, 128284, 28776, 128423, 128432, 78228, 129738, 128599, 11, 128788, 128589, 37915, 129738, 128599, 311, 128465, 69086, 128310, 128394, 79668, 131072, 128463, 128336, 128283, 131457, 128994, 78228, 129203, 128575, 595, 20868, 128384, 128847, 128410, 59735, 128750, 128301, 11, 272, 128042, 129234, 128943, 128855, 135584, 130052, 135836, 128479, 129675, 128403, 128401, 128394, 11, 69086, 128270, 386, 14903, 48, 128324, 29974, 47742, 78228, 126341, 128502, 64061, 97483, 37915, 128599, 128375, 308, 63775, 272, 125456, 13, 129591, 130388, 6592, 128403, 69086, 128327, 342, 1103, 128447, 128267, 128340, 386, 14903, 48, 131628, 128319, 137277, 521, 124760, 128304, 69086, 128289, 128531, 23165, 2143, 78228, 128564, 129984, 128285, 128323, 128422, 128336, 47742, 28776, 128431, 129598, 96535, 11, 130390, 131943, 136732, 128333, 13, 130526, 128424, 128884, 130314, 2162, 78, 128423, 128432, 46051, 128564, 129984, 128285, 128465, 308, 124634, 128273, 11, 78228, 128376, 137930, 134355, 128282, 1062, 72, 128358, 37915, 128249, 128811, 85536, 922, 276, 128550, 69086, 129784, 128361, 62029, 128400, 79668, 922, 276, 128396, 98127, 128854, 128289, 128531, 23165, 2143, 13, 130390, 131943, 137429, 128818, 11, 78228, 128376, 128311, 128918, 47742, 78228, 128322, 922, 276, 128502, 128365, 128360, 128427, 128285, 131628, 128319, 137277, 521, 124760, 11, 128425, 128334, 129065, 79668, 386, 14903, 48, 128424, 128884, 141839, 132630, 47742, 128362, 128531, 131307, 129922, 128304, 128870, 220, 17, 128564, 129984, 128285, 13, 128678, 128366, 11, 129857, 128427, 128285, 131628, 128319, 128250, 22730, 141948, 129372, 142394, 8943, 1163, 2185, 220, 85375, 386, 14903, 48, 128324, 29974, 132668, 128818, 135593, 129045, 11, 129984, 128285, 78228, 131520, 130192, 128310, 128394, 128336, 128283, 28776, 128423, 128432, 220, 17, 128564, 129984, 128285, 128273, 13, 73061, 8065, 78228, 128376, 128424, 128884, 130623, 39339, 11, 128643, 130509, 3406, 88, 128751, 131628, 128319, 128250, 142394, 8943, 386, 14903, 48, 128340, 128376, 11, 131763, 128529, 132300, 128423, 128432, 62029, 128400, 26, 1062, 72, 46051, 128564, 129984, 128285, 37915, 128249, 69086, 128253, 128811, 85536, 128550, 128396, 69086, 129784, 128361, 131628, 128319, 129181, 128311, 128918, 78228, 128376, 128250, 142394, 8943, 386, 14903, 48, 128340, 128376, 69086, 128253, 128290, 128447, 26, 14854, 61452, 133796, 11, 129522, 9586, 78228, 128322, 922, 276, 128502, 128365, 128336, 128283, 128418, 129784, 128361, 131628, 128319, 128250, 142394, 8943, 386, 14903, 48, 13, 129029, 130303, 24790, 47742, 141901, 92430, 128427, 132630, 11, 131628, 128319, 128250, 142394, 8943, 386, 14903, 48, 78228, 128376, 98127, 128854, 11, 128846, 128653, 78228, 128322, 922, 276, 92430, 24790, 128479, 128347, 128529, 132300, 62029, 128400, 135593, 129045, 128265, 220, 17, 128564, 129984, 128285, 11, 128449, 132786, 128253, 128328, 128266, 17669, 11, 128253, 130179, 128338, 128418, 11, 129626, 135676, 78228, 138713, 128338, 128924, 129263, 26, 128281, 37915, 128704, 128675, 63478, 595, 12032, 132720, 128272, 129935, 130097, 129822, 128403, 96535, 13, 129591, 130388, 128456, 130097, 142394, 8943, 386, 14903, 48, 78228, 128376, 128424, 128884, 128726, 92105, 125440, 128265, 128811, 85536, 47742, 128675, 128482, 128623, 128285, 11, 128846, 128265, 128322, 128760, 11, 127980, 128394, 129447, 26, 131969, 64061, 128980, 22730, 129984, 128285, 128564, 129984, 128285, 330, 1249, 88602, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 1, 94576, 1163, 2185, 220, 85375, 128263, 128322, 128760, 47742, 131628, 128319, 98127, 128854, 435, 6362, 134814, 11, 130623, 39339, 128575, 128997, 47742, 8943, 128373, 78228, 98896, 128423, 479, 685, 128890, 128683, 128585, 11, 730, 16739, 128394, 129447, 128683, 128585, 13, 137327, 128290, 129263, 128373, 129418, 129212, 11, 128823, 128509, 98896, 128423, 136822, 128250, 128289, 129822, 128403, 128564, 129984, 128285, 47742, 126341, 128502, 131160, 128410, 128479, 129675, 128403, 128401, 128394, 133952, 220, 16, 23, 14, 16, 16, 13, 142394, 8943, 386, 14903, 48, 78228, 128376, 128427, 128285, 128943, 128855, 128495, 130361, 129522, 9586, 11, 133804, 129261, 62029, 128400, 129984, 128285, 11, 128943, 128855, 11, 129270, 128356, 3406, 125093, 128378, 128251, 138816, 26, 129551, 128417, 62029, 23165, 2143, 11, 128394, 128427, 11, 1308, 71, 293, 125202, 69086, 62029, 128400, 129984, 128285, 47742, 128353, 128284, 3406, 125093, 78228, 128376, 13, 131699, 131279, 220, 126884, 16719, 129898, 130726, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658 ]
1,659
[ 43, 125628, 128419, 128603, 305, 125593, 129752, 47742, 128367, 128595, 521, 124644, 128285, 136313, 136942, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133670, 220, 16, 24, 21, 24, 11, 141593, 138458, 128603, 472, 16, 15, 6691, 17, 17, 128279, 130540, 11, 140787, 128930, 78228, 128329, 128997, 69086, 141593, 15122, 130985, 129888, 128272, 65526, 220, 18, 425, 125202, 50327, 125455, 13, 647, 50483, 128595, 96535, 521, 124644, 128285, 125440, 136313, 136942, 47742, 128664, 128384, 128250, 128253, 128279, 646, 128260, 132644, 132896, 90453, 20229, 481, 129234, 128580, 129822, 128573, 26, 131699, 143965, 663, 6654, 88, 11, 128984, 133361, 472, 22190, 68, 1940, 37915, 128253, 62029, 132356, 137930, 97483, 128788, 128589, 2350, 42504, 129822, 128573, 624, 52, 19, 481, 125807, 125452, 97483, 128415, 129222, 59735, 128419, 128603, 129866, 9338, 34, 29341, 128329, 128997, 129281, 444, 125628, 73586, 125452, 129970, 472, 16, 15, 6691, 17, 17, 69086, 138075, 129009, 129455, 128819, 13, 220, 126884, 16719, 1207, 67, 303, 75157, 624, 45167, 27021, 136977, 28776, 128249, 53037, 46051, 11, 28776, 128387, 128449, 128603, 128997, 136313, 136942, 47742, 130906, 128664, 128447, 126258, 11, 128930, 24790, 79126, 128336, 128277, 128570, 64061, 128960, 129560, 79668, 78228, 330, 65, 35928, 646, 1, 129556, 129410, 134057, 18698, 66, 59735, 14854, 26068, 128664, 128819, 47742, 136078, 326, 124310, 259, 352, 71632, 128627, 128301, 13, 63813, 27021, 136977, 128268, 37915, 128837, 79668, 78228, 129009, 128916, 128419, 128603, 132367, 129398, 129019, 1319, 53061, 15588, 27021, 7777, 524, 128371, 129866, 136211, 128250, 128253, 128356, 132358, 129222, 293, 10394, 11, 128253, 308, 50483, 130692, 129009, 131457, 128273, 129991, 624, 20897, 4076, 125115, 133361, 472, 22190, 68, 97832, 128290, 220, 16, 24, 17, 18, 128272, 133361, 422, 92704, 11, 133314, 451, 20868, 11, 133314, 129336, 11, 128290, 220, 16, 24, 19, 23, 128436, 37915, 128249, 128597, 128482, 62029, 128502, 270, 309, 94995, 86139, 129935, 62029, 128502, 129156, 128664, 653, 64061, 137930, 21793, 26068, 131400, 128854, 13, 129496, 128253, 138063, 128439, 47742, 129363, 128365, 128745, 128319, 11, 128436, 63478, 128322, 922, 276, 128419, 128603, 133318, 1163, 2185, 131535, 128284, 86139, 128623, 128285, 11, 128290, 220, 16, 24, 20, 16, 37915, 128310, 97483, 129281, 141593, 50327, 33, 128623, 128285, 128272, 128704, 129030, 21793, 26068, 624, 53, 125044, 37915, 128249, 128597, 128482, 28776, 98170, 128498, 128301, 131307, 129222, 11, 128250, 128277, 308, 71431, 128599, 128761, 129541, 128292, 128553, 128556, 88057, 129023, 129677, 59735, 126341, 128502, 11, 63478, 78228, 128329, 128997, 131400, 128854, 294, 23531, 84, 294, 124651, 11, 293, 125058, 129852, 11, 128436, 79126, 130780, 142587, 128328, 129461, 128323, 308, 9917, 71, 47742, 28776, 595, 20868, 128990, 128623, 128285, 69086, 98170, 140787, 13, 130232, 128249, 129528, 128441, 59735, 133827, 134375, 11, 653, 128498, 128451, 24790, 129595, 128556, 88057, 128282, 50196, 134059, 129009, 136312, 26, 63478, 128277, 98127, 128854, 59735, 128273, 11, 128436, 79126, 129984, 128285, 86139, 63478, 129126, 128441, 2350, 42504, 130390, 15588, 70248, 1163, 2185, 128463, 653, 2350, 276, 129126, 133218, 130719, 128278, 624, 51, 37059, 128444, 128597, 131678, 128994, 96535, 11, 128436, 272, 2185, 128376, 2600, 126341, 128502, 128271, 128556, 88057, 11, 24790, 129595, 28776, 128309, 128466, 128260, 138737, 95082, 11, 25798, 128812, 59735, 128599, 128375, 128324, 9544, 71, 129675, 320, 66, 58996, 7777, 50483, 88, 1215, 131538, 95082, 132034, 128830, 2600, 2350, 42504, 130390, 15588, 70248, 11, 128249, 65526, 24790, 129595, 128265, 128683, 128441, 59735, 132847, 129393, 128272, 129329, 444, 124646, 624, 53, 51947, 128253, 64061, 128761, 132600, 128278, 128418, 128501, 11, 128250, 130498, 128935, 128482, 128265, 128311, 128466, 63478, 32965, 124644, 133247, 11, 128436, 79126, 128377, 128292, 129087, 11, 128761, 326, 124310, 88, 595, 20868, 128990, 128744, 130929, 128419, 128603, 79668, 128300, 129357, 272, 2185, 128376, 63478, 128253, 24790, 129595, 128380, 128375, 2162, 78, 128304, 13, 730, 6023, 1163, 2185, 220, 85375, 129367, 129009, 128507, 135601, 12100, 27021, 2350, 42504, 11, 141593, 128419, 128603, 133318, 1163, 2185, 63478, 342, 22516, 129414, 128367, 279, 78, 136753, 11, 135905, 130052, 128419, 128338, 129866, 129188, 132034, 128272, 133318, 1163, 2185, 13, 130798, 63478, 342, 22516, 129414, 128367, 128867, 128340, 922, 276, 128550, 47742, 79126, 128643, 64061, 128415, 129222, 25, 134845, 37915, 129372, 128424, 129483, 63478, 128495, 130361, 2411, 1933, 68, 59735, 140787, 13, 130244, 37915, 128495, 130361, 59735, 129029, 98127, 305, 4076, 129866, 129188, 132034, 128826, 86139, 129838, 128377, 653, 130578, 127980, 220, 20, 481, 128249, 128495, 130361, 28776, 126370, 130179, 128465, 305, 63775, 128575, 1853, 124382, 128278, 12393, 138075, 129009, 128272, 133318, 1163, 2185, 59735, 9450, 624, 40225, 33450, 28776, 63478, 128450, 128495, 130361, 129009, 136312, 96535, 11, 128436, 79126, 294, 125432, 128467, 11, 296, 125672, 128597, 132629, 73525, 129461, 141593, 458, 19550, 71, 136861, 128788, 59735, 140787, 11, 131282, 63478, 128728, 129582, 305, 78820, 13, 2014, 88602, 128366, 128495, 130361, 2411, 1933, 68, 128250, 220, 18, 14854, 84300, 83, 133270, 62029, 59735, 140787, 79126, 63478, 128376, 128273, 135905, 129398, 47742, 28776, 128495, 130361, 128427, 128285, 128826, 14197, 128564, 128373, 129866, 96535, 425, 125455, 128253, 129009, 62029, 128415, 129222, 11, 128250, 136562, 98170, 128787, 128846, 128265, 126341, 128502, 11, 128265, 128328, 129461, 11, 132465, 73525, 128564, 138075, 129009, 129455, 132034, 11, 128984, 133361, 472, 22190, 68, 79126, 128570, 64061, 128249, 129009, 128916, 128419, 128603, 296, 125672, 128597, 11, 294, 125432, 128467, 624, 40225, 33450, 128300, 129357, 272, 128042, 129234, 128444, 128597, 135584, 130052, 69086, 61758, 135518, 140787, 11, 128436, 128787, 129234, 137827, 132367, 129398, 128365, 128599, 59735, 128312, 47742, 128300, 129357, 63478, 2350, 276, 129126, 133218, 24790, 128469, 13, 41016, 140923, 128333, 15392, 38715, 834, 348, 38715, 128265, 130215, 130695, 11, 2350, 276, 129126, 133218, 128454, 134603, 128436, 73586, 136856, 128311, 130388, 128272, 136313, 136942, 128250, 98896, 129598, 128479, 129054, 2600, 130390, 15588, 70248, 13, 1163, 644, 78228, 128564, 136856, 96535, 11, 128436, 79126, 23686, 71, 128799, 129597, 128907, 128322, 128410, 77374, 142122, 128556, 88057, 11, 23165, 2143, 133457, 78228, 128421, 129014, 132034, 11, 128819, 85, 6362, 79126, 128362, 128283, 129610, 296, 125672, 128819, 305, 51358, 272, 124935, 132034, 94576, 32154, 140923, 128333, 15392, 38715, 834, 348, 38715, 11, 128603, 129410, 128350, 128273, 94576, 128290, 220, 16, 24, 20, 20, 624, 40225, 524, 128761, 129541, 11, 128427, 128285, 128336, 128283, 129414, 128367, 279, 78, 98127, 126260, 59735, 128273, 11, 128290, 220, 16, 24, 20, 23, 11, 128436, 128279, 128788, 128367, 133318, 1163, 2185, 653, 137192, 136929, 356, 125641, 98127, 305, 4076, 128802, 342, 4932, 128272, 136977, 23165, 86728, 21793, 26068, 13, 1163, 644, 128564, 129507, 128597, 128250, 136497, 128788, 128367, 128867, 128340, 856, 124491, 126370, 124382, 96535, 11, 128436, 128787, 139824, 128333, 128980, 128331, 11, 23165, 61452, 23165, 88477, 11, 128688, 128425, 128421, 142267, 85852, 128411, 128450, 132122, 59735, 128249, 129009, 128916, 128419, 128603, 13, 130798, 79126, 132629, 73525, 131885, 270, 53061, 11, 53037, 23165, 2143, 128603, 28776, 131579, 2600, 128328, 129461, 47742, 126341, 128502, 13, 26462, 87939, 128340, 140787, 14854, 48291, 128403, 129748, 128265, 128436, 25, 330, 34, 24015, 128502, 128672, 132034, 28776, 128373, 128285, 130502, 19953, 125913, 128751, 1, 47742, 129477, 128377, 653, 2600, 128436, 86139, 128290, 220, 16, 24, 21, 15, 624, 55535, 135735, 11, 128436, 128424, 128884, 128623, 128285, 69086, 141593, 50327, 33, 129227, 128277, 98127, 128854, 59735, 132850, 138458, 128603, 20740, 69243, 320, 41, 17, 17, 568, 444, 125582, 128284, 128277, 856, 77689, 489, 37678, 77, 69086, 128811, 128366, 140787, 11, 128436, 79126, 23165, 61452, 23165, 88477, 132629, 73525, 128277, 129522, 9586, 59735, 128347, 11, 270, 309, 94995, 128570, 85852, 128311, 128331, 11, 128266, 128427, 293, 124931, 137971, 128603, 137048, 131537, 136313, 136942, 11, 28776, 922, 276, 128457, 128250, 128449, 128379, 85636, 47742, 128597, 128482, 11, 922, 276, 128502, 2162, 78, 128376, 128311, 128918, 136313, 136942, 13, 90453, 76294, 128253, 134666, 922, 276, 128457, 128270, 11, 128436, 128570, 64061, 128249, 132356, 128366, 308, 63775, 272, 125456, 128430, 141593, 50327, 33, 135905, 63478, 78228, 128431, 128913, 59735, 140787, 11, 128253, 390, 128601, 126199, 128819, 128333, 128353, 128284, 624, 56635, 70248, 128916, 128419, 128603, 128984, 133361, 472, 22190, 68, 624, 42, 6023, 128984, 129126, 59123, 69220, 63478, 128819, 128855, 128350, 128266, 129822, 128573, 11, 128436, 63478, 489, 3441, 128502, 62029, 132356, 137930, 97483, 128877, 131368, 130693, 129156, 128311, 128466, 47742, 128603, 128997, 13, 139602, 128623, 128285, 69086, 141593, 59735, 128436, 128730, 96535, 37915, 128253, 128329, 128997, 132356, 128366, 128419, 128603, 128415, 129222, 128260, 132644, 132896, 90453, 20229, 481, 129234, 128580, 129822, 128573, 11, 131699, 143965, 663, 6654, 88, 481, 128877, 79584, 11, 128788, 131368, 128580, 128456, 134342, 129023, 11, 21793, 125562, 16719, 129126, 142741, 481, 128788, 131368, 130388, 129822, 128573, 11, 129234, 128580, 128311, 128466, 11, 128788, 131368, 128542, 128457, 128250, 128819, 11, 130597, 129785, 481, 128394, 129626, 128664, 128410, 13, 135359, 128589, 11, 128251, 976, 11122, 94313, 128984, 133361, 130717, 128266, 128289, 128269, 451, 4223, 128823, 128333, 132234, 138757, 59735, 140787, 128268, 37915, 128251, 521, 2185, 130121, 130980, 128250, 128436, 624, 1282, 644, 272, 85375, 128444, 92105, 11, 128436, 129357, 128362, 305, 4076, 128418, 128304, 128450, 132122, 128419, 128603, 128328, 129461, 11, 128603, 129410, 63478, 2600, 141593, 128253, 128580, 128456, 128811, 128366, 59735, 140787, 11, 128253, 128427, 140996, 59735, 128819, 129281, 128271, 132122, 128978, 128260, 25, 129336, 128333, 132234, 138757, 11, 458, 19550, 71, 128811, 130287, 136313, 136942, 11, 78228, 128580, 128456, 134342, 129023, 624, 785, 78, 128498, 128451, 59735, 128273, 11, 128250, 128597, 92430, 1308, 71, 47742, 128784, 128396, 11, 23165, 61452, 23165, 88477, 132629, 73525, 128277, 129522, 9586, 128417, 129067, 458, 19550, 71, 134168, 7777, 125022, 59735, 140787, 11, 128436, 79126, 129483, 63478, 128450, 128913, 129866, 128277, 92105, 128281, 59735, 128819, 128265, 128401, 128366, 133318, 29974, 13, 350, 126424, 128450, 128913, 129681, 128309, 96535, 79126, 63478, 128830, 279, 78, 128448, 342, 22516, 128542, 15122, 129209, 126500, 458, 128401, 11, 130925, 128740, 63478, 128498, 128451, 128376, 128422, 59735, 137833, 129188, 13, 129029, 128379, 139081, 20740, 69243, 47742, 129029, 130017, 270, 309, 296, 125672, 79126, 128353, 128284, 136562, 128450, 128913, 96535, 94576, 128290, 220, 16, 24, 21, 22, 128263, 128300, 133318, 29974, 128643, 128401, 128486, 136607, 624, 79759, 18934, 128273, 79126, 128339, 11, 32154, 128249, 128327, 342, 1103, 128623, 128285, 128423, 128432, 11, 128290, 220, 16, 24, 21, 24, 11, 141593, 362, 17, 17, 128279, 130540, 13, 50327, 124506, 128930, 78228, 128329, 128997, 69086, 141593, 15122, 130985, 129888, 13, 130798, 128279, 14854, 53022, 15122, 356, 61452, 50327, 124491, 13, 128965, 128290, 128526, 69086, 1187, 78, 135735, 59735, 128819, 82963, 50483, 88, 11, 128436, 79126, 129566, 135584, 79479, 128380, 11, 129019, 128861, 59735, 128251, 129009, 128916, 128419, 128603, 13, 133670, 220, 16, 24, 22, 18, 11, 32154, 94994, 129212, 140923, 128333, 12095, 11, 128249, 65526, 128329, 128997, 59735, 128419, 128603, 128279, 135735, 128269, 356, 61452, 50327, 124491, 63478, 489, 3441, 129477, 135735, 9544, 71, 11, 130008, 128436, 11, 140787, 128424, 128884, 342, 4932, 129566, 624, 3357, 75050, 128263, 128300, 128486, 136607, 133318, 29974, 11, 9450, 128424, 129270, 356, 61452, 50327, 124491, 92105, 128930, 63478, 128436, 128265, 136313, 136942, 13, 328, 94963, 129700, 128436, 128279, 913, 88, 19953, 124382, 134168, 128550, 32154, 128253, 128300, 128526, 129949, 143201, 128277, 9586, 133270, 11, 129433, 14854, 41603, 64, 59735, 128751, 128368, 128275, 135735, 130734, 132611, 59735, 140787, 13, 1527, 71, 976, 69086, 141593, 129233, 85852, 20303, 2863, 69086, 136141, 132242, 128285, 294, 8835, 968, 489, 125017, 624, 131371, 968, 128480, 63478, 128622, 220, 18, 128290, 69086, 128419, 128672, 220, 126424, 129470, 59735, 128329, 128997, 128329, 129188, 11, 94995, 128890, 11, 69086, 53037, 129019, 130669, 128823, 59735, 128750, 128301, 13, 133670, 220, 16, 24, 22, 23, 128436, 94576, 142035, 32154, 128249, 272, 67657, 913, 88, 6792, 132932, 624, 42, 6023, 129822, 128403, 128717, 128353, 129857, 128419, 128603, 79668, 128456, 128415, 128253, 128329, 128997, 856, 124656, 129861, 63478, 135593, 135676, 458, 71, 305, 88771, 11, 129064, 128436, 63478, 126341, 132972, 129748, 136674, 128263, 128250, 128253, 128419, 128467, 128906, 128738, 489, 39392, 128550, 13, 128965, 128382, 128436, 128266, 63478, 69086, 134601, 128459, 128361, 128623, 128285, 128419, 128603, 94576, 138075, 129009, 129455, 132034, 11, 128558, 129455, 128819, 128336, 128277, 856, 124656, 129861, 128250, 98896, 128423, 1527, 71, 305, 88771, 19504, 20457, 128310, 128394, 126199, 134355, 11, 129645, 128301, 489, 3441, 133269, 13, 128965, 129009, 128916, 128419, 128603, 296, 125672, 128597, 11, 128432, 128467, 59735, 141593, 128419, 128603, 458, 71, 305, 88771, 128260, 131699, 143965, 663, 6654, 88, 11, 128984, 133361, 472, 22190, 68, 11, 132644, 132896, 90453, 20229, 8212, 76294, 128358, 53037, 128320, 128870, 11, 78228, 128436, 134226, 131840, 69086, 136141, 128377, 305, 125017, 59735, 128314, 128457, 128634, 128324, 29974, 624, 785, 78, 1207, 67, 303, 75157, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 43, 125628, 128419, 128603, 305, 125593, 129752, 47742, 128367, 128595, 521, 124644, 128285, 136313, 136942, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133670, 220, 16, 24, 21, 24, 11, 141593, 138458, 128603, 472, 16, 15, 6691, 17, 17, 128279, 130540, 11, 140787, 128930, 78228, 128329, 128997, 69086, 141593, 15122, 130985, 129888, 128272, 65526, 220, 18, 425, 125202, 50327, 125455, 13, 647, 50483, 128595, 96535, 521, 124644, 128285, 125440, 136313, 136942, 47742, 128664, 128384, 128250, 128253, 128279, 646, 128260, 132644, 132896, 90453, 20229, 481, 129234, 128580, 129822, 128573, 26, 131699, 143965, 663, 6654, 88, 11, 128984, 133361, 472, 22190, 68, 1940, 37915, 128253, 62029, 132356, 137930, 97483, 128788, 128589, 2350, 42504, 129822, 128573, 624, 52, 19, 481, 125807, 125452, 97483, 128415, 129222, 59735, 128419, 128603, 129866, 9338, 34, 29341, 128329, 128997, 129281, 444, 125628, 73586, 125452, 129970, 472, 16, 15, 6691, 17, 17, 69086, 138075, 129009, 129455, 128819, 13, 220, 126884, 16719, 1207, 67, 303, 75157, 624, 45167, 27021, 136977, 28776, 128249, 53037, 46051, 11, 28776, 128387, 128449, 128603, 128997, 136313, 136942, 47742, 130906, 128664, 128447, 126258, 11, 128930, 24790, 79126, 128336, 128277, 128570, 64061, 128960, 129560, 79668, 78228, 330, 65, 35928, 646, 1, 129556, 129410, 134057, 18698, 66, 59735, 14854, 26068, 128664, 128819, 47742, 136078, 326, 124310, 259, 352, 71632, 128627, 128301, 13, 63813, 27021, 136977, 128268, 37915, 128837, 79668, 78228, 129009, 128916, 128419, 128603, 132367, 129398, 129019, 1319, 53061, 15588, 27021, 7777, 524, 128371, 129866, 136211, 128250, 128253, 128356, 132358, 129222, 293, 10394, 11, 128253, 308, 50483, 130692, 129009, 131457, 128273, 129991, 624, 20897, 4076, 125115, 133361, 472, 22190, 68, 97832, 128290, 220, 16, 24, 17, 18, 128272, 133361, 422, 92704, 11, 133314, 451, 20868, 11, 133314, 129336, 11, 128290, 220, 16, 24, 19, 23, 128436, 37915, 128249, 128597, 128482, 62029, 128502, 270, 309, 94995, 86139, 129935, 62029, 128502, 129156, 128664, 653, 64061, 137930, 21793, 26068, 131400, 128854, 13, 129496, 128253, 138063, 128439, 47742, 129363, 128365, 128745, 128319, 11, 128436, 63478, 128322, 922, 276, 128419, 128603, 133318, 1163, 2185, 131535, 128284, 86139, 128623, 128285, 11, 128290, 220, 16, 24, 20, 16, 37915, 128310, 97483, 129281, 141593, 50327, 33, 128623, 128285, 128272, 128704, 129030, 21793, 26068, 624, 53, 125044, 37915, 128249, 128597, 128482, 28776, 98170, 128498, 128301, 131307, 129222, 11, 128250, 128277, 308, 71431, 128599, 128761, 129541, 128292, 128553, 128556, 88057, 129023, 129677, 59735, 126341, 128502, 11, 63478, 78228, 128329, 128997, 131400, 128854, 294, 23531, 84, 294, 124651, 11, 293, 125058, 129852, 11, 128436, 79126, 130780, 142587, 128328, 129461, 128323, 308, 9917, 71, 47742, 28776, 595, 20868, 128990, 128623, 128285, 69086, 98170, 140787, 13, 130232, 128249, 129528, 128441, 59735, 133827, 134375, 11, 653, 128498, 128451, 24790, 129595, 128556, 88057, 128282, 50196, 134059, 129009, 136312, 26, 63478, 128277, 98127, 128854, 59735, 128273, 11, 128436, 79126, 129984, 128285, 86139, 63478, 129126, 128441, 2350, 42504, 130390, 15588, 70248, 1163, 2185, 128463, 653, 2350, 276, 129126, 133218, 130719, 128278, 624, 51, 37059, 128444, 128597, 131678, 128994, 96535, 11, 128436, 272, 2185, 128376, 2600, 126341, 128502, 128271, 128556, 88057, 11, 24790, 129595, 28776, 128309, 128466, 128260, 138737, 95082, 11, 25798, 128812, 59735, 128599, 128375, 128324, 9544, 71, 129675, 320, 66, 58996, 7777, 50483, 88, 1215, 131538, 95082, 132034, 128830, 2600, 2350, 42504, 130390, 15588, 70248, 11, 128249, 65526, 24790, 129595, 128265, 128683, 128441, 59735, 132847, 129393, 128272, 129329, 444, 124646, 624, 53, 51947, 128253, 64061, 128761, 132600, 128278, 128418, 128501, 11, 128250, 130498, 128935, 128482, 128265, 128311, 128466, 63478, 32965, 124644, 133247, 11, 128436, 79126, 128377, 128292, 129087, 11, 128761, 326, 124310, 88, 595, 20868, 128990, 128744, 130929, 128419, 128603, 79668, 128300, 129357, 272, 2185, 128376, 63478, 128253, 24790, 129595, 128380, 128375, 2162, 78, 128304, 13, 730, 6023, 1163, 2185, 220, 85375, 129367, 129009, 128507, 135601, 12100, 27021, 2350, 42504, 11, 141593, 128419, 128603, 133318, 1163, 2185, 63478, 342, 22516, 129414, 128367, 279, 78, 136753, 11, 135905, 130052, 128419, 128338, 129866, 129188, 132034, 128272, 133318, 1163, 2185, 13, 130798, 63478, 342, 22516, 129414, 128367, 128867, 128340, 922, 276, 128550, 47742, 79126, 128643, 64061, 128415, 129222, 25, 134845, 37915, 129372, 128424, 129483, 63478, 128495, 130361, 2411, 1933, 68, 59735, 140787, 13, 130244, 37915, 128495, 130361, 59735, 129029, 98127, 305, 4076, 129866, 129188, 132034, 128826, 86139, 129838, 128377, 653, 130578, 127980, 220, 20, 481, 128249, 128495, 130361, 28776, 126370, 130179, 128465, 305, 63775, 128575, 1853, 124382, 128278, 12393, 138075, 129009, 128272, 133318, 1163, 2185, 59735, 9450, 624, 40225, 33450, 28776, 63478, 128450, 128495, 130361, 129009, 136312, 96535, 11, 128436, 79126, 294, 125432, 128467, 11, 296, 125672, 128597, 132629, 73525, 129461, 141593, 458, 19550, 71, 136861, 128788, 59735, 140787, 11, 131282, 63478, 128728, 129582, 305, 78820, 13, 2014, 88602, 128366, 128495, 130361, 2411, 1933, 68, 128250, 220, 18, 14854, 84300, 83, 133270, 62029, 59735, 140787, 79126, 63478, 128376, 128273, 135905, 129398, 47742, 28776, 128495, 130361, 128427, 128285, 128826, 14197, 128564, 128373, 129866, 96535, 425, 125455, 128253, 129009, 62029, 128415, 129222, 11, 128250, 136562, 98170, 128787, 128846, 128265, 126341, 128502, 11, 128265, 128328, 129461, 11, 132465, 73525, 128564, 138075, 129009, 129455, 132034, 11, 128984, 133361, 472, 22190, 68, 79126, 128570, 64061, 128249, 129009, 128916, 128419, 128603, 296, 125672, 128597, 11, 294, 125432, 128467, 624, 40225, 33450, 128300, 129357, 272, 128042, 129234, 128444, 128597, 135584, 130052, 69086, 61758, 135518, 140787, 11, 128436, 128787, 129234, 137827, 132367, 129398, 128365, 128599, 59735, 128312, 47742, 128300, 129357, 63478, 2350, 276, 129126, 133218, 24790, 128469, 13, 41016, 140923, 128333, 15392, 38715, 834, 348, 38715, 128265, 130215, 130695, 11, 2350, 276, 129126, 133218, 128454, 134603, 128436, 73586, 136856, 128311, 130388, 128272, 136313, 136942, 128250, 98896, 129598, 128479, 129054, 2600, 130390, 15588, 70248, 13, 1163, 644, 78228, 128564, 136856, 96535, 11, 128436, 79126, 23686, 71, 128799, 129597, 128907, 128322, 128410, 77374, 142122, 128556, 88057, 11, 23165, 2143, 133457, 78228, 128421, 129014, 132034, 11, 128819, 85, 6362, 79126, 128362, 128283, 129610, 296, 125672, 128819, 305, 51358, 272, 124935, 132034, 94576, 32154, 140923, 128333, 15392, 38715, 834, 348, 38715, 11, 128603, 129410, 128350, 128273, 94576, 128290, 220, 16, 24, 20, 20, 624, 40225, 524, 128761, 129541, 11, 128427, 128285, 128336, 128283, 129414, 128367, 279, 78, 98127, 126260, 59735, 128273, 11, 128290, 220, 16, 24, 20, 23, 11, 128436, 128279, 128788, 128367, 133318, 1163, 2185, 653, 137192, 136929, 356, 125641, 98127, 305, 4076, 128802, 342, 4932, 128272, 136977, 23165, 86728, 21793, 26068, 13, 1163, 644, 128564, 129507, 128597, 128250, 136497, 128788, 128367, 128867, 128340, 856, 124491, 126370, 124382, 96535, 11, 128436, 128787, 139824, 128333, 128980, 128331, 11, 23165, 61452, 23165, 88477, 11, 128688, 128425, 128421, 142267, 85852, 128411, 128450, 132122, 59735, 128249, 129009, 128916, 128419, 128603, 13, 130798, 79126, 132629, 73525, 131885, 270, 53061, 11, 53037, 23165, 2143, 128603, 28776, 131579, 2600, 128328, 129461, 47742, 126341, 128502, 13, 26462, 87939, 128340, 140787, 14854, 48291, 128403, 129748, 128265, 128436, 25, 330, 34, 24015, 128502, 128672, 132034, 28776, 128373, 128285, 130502, 19953, 125913, 128751, 1, 47742, 129477, 128377, 653, 2600, 128436, 86139, 128290, 220, 16, 24, 21, 15, 624, 55535, 135735, 11, 128436, 128424, 128884, 128623, 128285, 69086, 141593, 50327, 33, 129227, 128277, 98127, 128854, 59735, 132850, 138458, 128603, 20740, 69243, 320, 41, 17, 17, 568, 444, 125582, 128284, 128277, 856, 77689, 489, 37678, 77, 69086, 128811, 128366, 140787, 11, 128436, 79126, 23165, 61452, 23165, 88477, 132629, 73525, 128277, 129522, 9586, 59735, 128347, 11, 270, 309, 94995, 128570, 85852, 128311, 128331, 11, 128266, 128427, 293, 124931, 137971, 128603, 137048, 131537, 136313, 136942, 11, 28776, 922, 276, 128457, 128250, 128449, 128379, 85636, 47742, 128597, 128482, 11, 922, 276, 128502, 2162, 78, 128376, 128311, 128918, 136313, 136942, 13, 90453, 76294, 128253, 134666, 922, 276, 128457, 128270, 11, 128436, 128570, 64061, 128249, 132356, 128366, 308, 63775, 272, 125456, 128430, 141593, 50327, 33, 135905, 63478, 78228, 128431, 128913, 59735, 140787, 11, 128253, 390, 128601, 126199, 128819, 128333, 128353, 128284, 624, 56635, 70248, 128916, 128419, 128603, 128984, 133361, 472, 22190, 68, 624, 42, 6023, 128984, 129126, 59123, 69220, 63478, 128819, 128855, 128350, 128266, 129822, 128573, 11, 128436, 63478, 489, 3441, 128502, 62029, 132356, 137930, 97483, 128877, 131368, 130693, 129156, 128311, 128466, 47742, 128603, 128997, 13, 139602, 128623, 128285, 69086, 141593, 59735, 128436, 128730, 96535, 37915, 128253, 128329, 128997, 132356, 128366, 128419, 128603, 128415, 129222, 128260, 132644, 132896, 90453, 20229, 481, 129234, 128580, 129822, 128573, 11, 131699, 143965, 663, 6654, 88, 481, 128877, 79584, 11, 128788, 131368, 128580, 128456, 134342, 129023, 11, 21793, 125562, 16719, 129126, 142741, 481, 128788, 131368, 130388, 129822, 128573, 11, 129234, 128580, 128311, 128466, 11, 128788, 131368, 128542, 128457, 128250, 128819, 11, 130597, 129785, 481, 128394, 129626, 128664, 128410, 13, 135359, 128589, 11, 128251, 976, 11122, 94313, 128984, 133361, 130717, 128266, 128289, 128269, 451, 4223, 128823, 128333, 132234, 138757, 59735, 140787, 128268, 37915, 128251, 521, 2185, 130121, 130980, 128250, 128436, 624, 1282, 644, 272, 85375, 128444, 92105, 11, 128436, 129357, 128362, 305, 4076, 128418, 128304, 128450, 132122, 128419, 128603, 128328, 129461, 11, 128603, 129410, 63478, 2600, 141593, 128253, 128580, 128456, 128811, 128366, 59735, 140787, 11, 128253, 128427, 140996, 59735, 128819, 129281, 128271, 132122, 128978, 128260, 25, 129336, 128333, 132234, 138757, 11, 458, 19550, 71, 128811, 130287, 136313, 136942, 11, 78228, 128580, 128456, 134342, 129023, 624, 785, 78, 128498, 128451, 59735, 128273, 11, 128250, 128597, 92430, 1308, 71, 47742, 128784, 128396, 11, 23165, 61452, 23165, 88477, 132629, 73525, 128277, 129522, 9586, 128417, 129067, 458, 19550, 71, 134168, 7777, 125022, 59735, 140787, 11, 128436, 79126, 129483, 63478, 128450, 128913, 129866, 128277, 92105, 128281, 59735, 128819, 128265, 128401, 128366, 133318, 29974, 13, 350, 126424, 128450, 128913, 129681, 128309, 96535, 79126, 63478, 128830, 279, 78, 128448, 342, 22516, 128542, 15122, 129209, 126500, 458, 128401, 11, 130925, 128740, 63478, 128498, 128451, 128376, 128422, 59735, 137833, 129188, 13, 129029, 128379, 139081, 20740, 69243, 47742, 129029, 130017, 270, 309, 296, 125672, 79126, 128353, 128284, 136562, 128450, 128913, 96535, 94576, 128290, 220, 16, 24, 21, 22, 128263, 128300, 133318, 29974, 128643, 128401, 128486, 136607, 624, 79759, 18934, 128273, 79126, 128339, 11, 32154, 128249, 128327, 342, 1103, 128623, 128285, 128423, 128432, 11, 128290, 220, 16, 24, 21, 24, 11, 141593, 362, 17, 17, 128279, 130540, 13, 50327, 124506, 128930, 78228, 128329, 128997, 69086, 141593, 15122, 130985, 129888, 13, 130798, 128279, 14854, 53022, 15122, 356, 61452, 50327, 124491, 13, 128965, 128290, 128526, 69086, 1187, 78, 135735, 59735, 128819, 82963, 50483, 88, 11, 128436, 79126, 129566, 135584, 79479, 128380, 11, 129019, 128861, 59735, 128251, 129009, 128916, 128419, 128603, 13, 133670, 220, 16, 24, 22, 18, 11, 32154, 94994, 129212, 140923, 128333, 12095, 11, 128249, 65526, 128329, 128997, 59735, 128419, 128603, 128279, 135735, 128269, 356, 61452, 50327, 124491, 63478, 489, 3441, 129477, 135735, 9544, 71, 11, 130008, 128436, 11, 140787, 128424, 128884, 342, 4932, 129566, 624, 3357, 75050, 128263, 128300, 128486, 136607, 133318, 29974, 11, 9450, 128424, 129270, 356, 61452, 50327, 124491, 92105, 128930, 63478, 128436, 128265, 136313, 136942, 13, 328, 94963, 129700, 128436, 128279, 913, 88, 19953, 124382, 134168, 128550, 32154, 128253, 128300, 128526, 129949, 143201, 128277, 9586, 133270, 11, 129433, 14854, 41603, 64, 59735, 128751, 128368, 128275, 135735, 130734, 132611, 59735, 140787, 13, 1527, 71, 976, 69086, 141593, 129233, 85852, 20303, 2863, 69086, 136141, 132242, 128285, 294, 8835, 968, 489, 125017, 624, 131371, 968, 128480, 63478, 128622, 220, 18, 128290, 69086, 128419, 128672, 220, 126424, 129470, 59735, 128329, 128997, 128329, 129188, 11, 94995, 128890, 11, 69086, 53037, 129019, 130669, 128823, 59735, 128750, 128301, 13, 133670, 220, 16, 24, 22, 23, 128436, 94576, 142035, 32154, 128249, 272, 67657, 913, 88, 6792, 132932, 624, 42, 6023, 129822, 128403, 128717, 128353, 129857, 128419, 128603, 79668, 128456, 128415, 128253, 128329, 128997, 856, 124656, 129861, 63478, 135593, 135676, 458, 71, 305, 88771, 11, 129064, 128436, 63478, 126341, 132972, 129748, 136674, 128263, 128250, 128253, 128419, 128467, 128906, 128738, 489, 39392, 128550, 13, 128965, 128382, 128436, 128266, 63478, 69086, 134601, 128459, 128361, 128623, 128285, 128419, 128603, 94576, 138075, 129009, 129455, 132034, 11, 128558, 129455, 128819, 128336, 128277, 856, 124656, 129861, 128250, 98896, 128423, 1527, 71, 305, 88771, 19504, 20457, 128310, 128394, 126199, 134355, 11, 129645, 128301, 489, 3441, 133269, 13, 128965, 129009, 128916, 128419, 128603, 296, 125672, 128597, 11, 128432, 128467, 59735, 141593, 128419, 128603, 458, 71, 305, 88771, 128260, 131699, 143965, 663, 6654, 88, 11, 128984, 133361, 472, 22190, 68, 11, 132644, 132896, 90453, 20229, 8212, 76294, 128358, 53037, 128320, 128870, 11, 78228, 128436, 134226, 131840, 69086, 136141, 128377, 305, 125017, 59735, 128314, 128457, 128634, 128324, 29974, 624, 785, 78, 1207, 67, 303, 75157, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028 ]
2,029
[ 1001, 42504, 131943, 128984, 350, 124644, 142840, 133171, 128311, 128482, 52355, 47742, 126258, 129935, 130097, 663, 98210, 140868, 479, 4826, 220, 19, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 142435, 128814, 137558, 59735, 130017, 128573, 52355, 576, 258, 1345, 258, 11, 130390, 131943, 128984, 350, 124644, 142840, 11, 2350, 84, 128310, 47742, 138120, 128376, 2162, 78, 129591, 130388, 128324, 29974, 133171, 128311, 128482, 52355, 47742, 270, 309, 126258, 129935, 130097, 663, 98210, 140868, 78228, 128301, 136746, 129838, 386, 1225, 644, 128568, 128720, 220, 19, 320, 38, 4826, 220, 19, 8, 94576, 128300, 220, 16, 24, 12, 17, 16, 14, 16, 17, 624, 1001, 125478, 259, 88771, 130390, 131943, 128984, 350, 124644, 142840, 28776, 129029, 129528, 11, 130085, 129414, 129126, 128441, 129591, 130388, 132644, 129938, 50327, 309, 11, 129029, 129528, 129029, 1599, 124317, 128855, 1163, 125438, 136929, 142840, 11, 129029, 129528, 129029, 730, 26068, 130361, 47742, 137720, 128379, 425, 14926, 72, 3406, 524, 20391, 71, 11, 129029, 129528, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 356, 3441, 129938, 135322, 11, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128984, 129126, 129336, 26, 131400, 128854, 78228, 129029, 25, 128494, 128441, 11, 128534, 458, 11, 142769, 342, 22516, 11, 134352, 128311, 11, 128534, 137048, 11, 809, 128384, 624, 51, 58597, 132300, 128319, 128400, 624, 40225, 124317, 37915, 135418, 133171, 52355, 128278, 128924, 59735, 130390, 131943, 128984, 350, 124644, 142840, 130291, 94576, 94994, 63478, 134311, 85852, 129566, 128502, 130390, 131943, 129591, 130388, 47742, 37915, 135418, 133171, 52355, 128568, 128720, 220, 18, 59735, 130390, 131943, 128984, 350, 124644, 142840, 130291, 94576, 128290, 220, 17, 15, 15, 22, 624, 1282, 644, 128253, 128290, 73525, 11, 922, 276, 128457, 129347, 130097, 129045, 128573, 11, 128319, 128400, 128271, 128387, 129181, 128324, 29974, 47742, 52355, 128424, 128884, 63478, 272, 128042, 129234, 47742, 128529, 132300, 13, 62682, 128608, 141839, 132630, 128454, 132278, 489, 3441, 128726, 129675, 78228, 128376, 47742, 128424, 132242, 128376, 2162, 78, 624, 39, 84300, 79, 128400, 595, 20868, 128384, 11, 128560, 131537, 11, 128278, 128379, 129181, 46051, 128301, 128424, 128884, 128273, 14854, 6362, 128362, 128531, 13, 13509, 7777, 125202, 128560, 131537, 46051, 131149, 128324, 29974, 481, 52355, 69086, 128290, 220, 17, 15, 16, 16, 220, 124603, 129664, 220, 16, 23, 15, 129077, 19551, 11, 128529, 220, 16, 23, 11, 19, 4, 773, 128250, 128290, 220, 17, 15, 16, 15, 11, 69086, 128270, 128324, 29974, 62572, 97610, 220, 24, 15, 129077, 19551, 61758, 128585, 94576, 52355, 624, 1282, 644, 128290, 220, 17, 15, 16, 16, 11, 46051, 128608, 79126, 126341, 128502, 64061, 62029, 129935, 136625, 61758, 52355, 128272, 128324, 29974, 320, 16, 14, 17, 15, 16, 16, 8, 47742, 129935, 136625, 61758, 128324, 29974, 128272, 52355, 320, 16, 16, 14, 17, 15, 16, 16, 4292, 53, 39938, 78228, 128322, 128751, 128319, 128400, 11, 46051, 128608, 79126, 128422, 128980, 142394, 8943, 472, 71431, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 11, 128683, 128585, 47742, 72067, 64, 128292, 129531, 128859, 47742, 270, 309, 132123, 128311, 128466, 128454, 132883, 129181, 129029, 142769, 342, 22516, 59735, 46051, 128301, 624, 128189, 88, 8943, 472, 71431, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 11, 128683, 128585, 47742, 72067, 64, 128292, 129531, 128859, 128324, 29974, 220, 52355, 79126, 136856, 63478, 220, 22, 128880, 13, 131677, 128880, 136856, 128914, 128358, 128281, 320, 339, 124397, 220, 16, 16, 14, 17, 15, 16, 16, 701, 46051, 128608, 79126, 129030, 128271, 137261, 128513, 129705, 128254, 131763, 133600, 132668, 128319, 128400, 128265, 132234, 2852, 86728, 128386, 11, 132601, 85636, 11, 342, 22516, 92430, 8273, 72115, 130897, 11, 128365, 128375, 11, 92430, 24790, 11, 379, 128384, 11, 128683, 128585, 11, 129023, 129677, 11, 3845, 128717, 624, 1001, 309, 132123, 128311, 128466, 128454, 132883, 129181, 46051, 129029, 142769, 342, 22516, 79126, 129263, 128373, 63478, 220, 21, 128880, 13, 131677, 78228, 128880, 136856, 11, 46051, 128608, 128454, 132278, 92430, 128603, 2600, 20303, 2863, 128265, 128419, 128338, 129058, 128301, 26, 489, 3441, 128726, 128431, 128935, 128265, 128253, 137261, 128513, 131763, 133600, 132668, 128319, 128400, 129181, 46051, 128301, 11, 128788, 128589, 37915, 128289, 128336, 128283, 78228, 139988, 131678, 128376, 2162, 78, 624, 39, 2143, 128608, 128320, 128319, 128400, 128418, 69086, 138411, 133787, 98867, 1093, 11, 128249, 65526, 126341, 128502, 128664, 128384, 47742, 127980, 128978, 128260, 136746, 129838, 386, 1225, 644, 320, 38, 4826, 701, 142226, 136312, 128362, 128531, 595, 20868, 128384, 220, 18, 130423, 134782, 320, 1706, 7462, 33545, 701, 129935, 130097, 128376, 2162, 78, 128324, 29974, 7658, 1121, 1387, 685, 8125, 125017, 12, 5050, 45716, 320, 3140, 66626, 568, 62682, 128301, 128268, 28776, 922, 276, 128406, 128914, 342, 124310, 72, 11, 128454, 132278, 131628, 128319, 47742, 141718, 126469, 20303, 2863, 128273, 78228, 128960, 129560, 128664, 128384, 47742, 127980, 128978, 624, 1282, 644, 135418, 133171, 128311, 128482, 59735, 130390, 131943, 128984, 350, 124644, 142840, 128568, 96535, 11, 46051, 128608, 128267, 489, 3441, 128726, 78228, 137261, 128513, 133600, 132668, 922, 276, 128457, 129347, 130097, 11, 129045, 128573, 47742, 128319, 128400, 128271, 128387, 129181, 46051, 128301, 26, 133600, 132668, 128531, 23165, 2143, 78228, 139988, 131678, 79126, 129664, 63478, 129181, 131400, 128854, 128376, 2162, 78, 46051, 128301, 26, 128486, 128784, 11, 270, 77689, 342, 125726, 128253, 128639, 130909, 2600, 653, 27924, 128386, 59735, 46051, 128301, 94994, 128424, 136855, 126260, 128331, 59735, 20303, 2863, 624, 40225, 124483, 128327, 11, 46051, 128608, 128268, 128267, 489, 3441, 128726, 128253, 137261, 128513, 128529, 132300, 131628, 128319, 128272, 78228, 128960, 129560, 127980, 128978, 47742, 128664, 128384, 624, 38, 4826, 128846, 128447, 128249, 142122, 132551, 128362, 128531, 92105, 624, 20897, 53022, 220, 17, 15, 14, 16, 17, 11, 131400, 128854, 220, 21, 128301, 136746, 129838, 386, 1225, 644, 129367, 129922, 37915, 9512, 1387, 685, 11, 444, 125017, 11, 52355, 11, 131053, 34782, 11, 128324, 29974, 47742, 1163, 2185, 128494, 128267, 126258, 129935, 130097, 663, 98210, 140868, 38, 4826, 220, 19, 83, 60257, 128502, 128272, 128799, 130287, 98073, 5355, 72, 350, 672, 59735, 52355, 624, 1001, 42504, 131943, 128984, 350, 124644, 142840, 128267, 270, 309, 126258, 129935, 130097, 96535, 624, 39, 124489, 130097, 28776, 128427, 128456, 25, 136745, 128447, 128249, 142122, 132551, 92105, 128265, 922, 276, 128457, 128421, 128400, 128362, 128531, 129009, 136312, 136746, 129838, 386, 1225, 644, 129367, 129922, 13, 84137, 129784, 128361, 130097, 128277, 11, 78228, 128275, 131400, 128854, 479, 4826, 128267, 128553, 489, 2185, 132972, 129748, 128265, 128253, 137261, 128513, 128529, 132300, 128423, 128432, 128319, 128400, 479, 4826, 11, 128328, 128482, 79668, 78228, 128704, 128675, 47742, 127980, 128978, 128379, 128310, 270, 309, 94995, 128271, 128304, 47742, 128423, 128432, 128304, 86139, 128336, 128283, 20165, 2185, 129009, 136312, 128319, 128400, 92105, 479, 4826, 94995, 72, 130393, 220, 17, 15, 16, 17, 220, 220, 17, 15, 17, 17, 47742, 128580, 128456, 305, 4076, 128285, 128278, 128379, 127980, 128978, 128379, 128310, 86139, 128362, 128531, 128373, 8688, 595, 20868, 128384, 624, 1282, 644, 138411, 133787, 129935, 130097, 11, 78228, 128275, 131400, 128854, 128267, 129212, 350, 124527, 128888, 98073, 5355, 72, 350, 672, 47742, 128977, 128935, 131309, 129212, 78228, 135547, 128450, 342, 6023, 130537, 128265, 128319, 128400, 128362, 128531, 128457, 128573, 132539, 71800, 130540, 92430, 24790, 47742, 128740, 128284, 69086, 127980, 128978, 479, 4826, 26, 128289, 64061, 128980, 140923, 128410, 647, 72115, 130897, 479, 4826, 624, 35544, 124382, 29974, 37915, 128249, 64061, 97483, 128761, 129541, 59735, 128319, 128400, 595, 20868, 128384, 479, 4826, 47742, 128268, 79126, 129589, 135364, 128271, 128918, 128994, 94576, 128688, 128935, 128319, 128400, 96535, 624, 20897, 4076, 125115, 130597, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 42504, 131943, 128984, 350, 124644, 142840, 133171, 128311, 128482, 52355, 47742, 126258, 129935, 130097, 663, 98210, 140868, 479, 4826, 220, 19, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 142435, 128814, 137558, 59735, 130017, 128573, 52355, 576, 258, 1345, 258, 11, 130390, 131943, 128984, 350, 124644, 142840, 11, 2350, 84, 128310, 47742, 138120, 128376, 2162, 78, 129591, 130388, 128324, 29974, 133171, 128311, 128482, 52355, 47742, 270, 309, 126258, 129935, 130097, 663, 98210, 140868, 78228, 128301, 136746, 129838, 386, 1225, 644, 128568, 128720, 220, 19, 320, 38, 4826, 220, 19, 8, 94576, 128300, 220, 16, 24, 12, 17, 16, 14, 16, 17, 624, 1001, 125478, 259, 88771, 130390, 131943, 128984, 350, 124644, 142840, 28776, 129029, 129528, 11, 130085, 129414, 129126, 128441, 129591, 130388, 132644, 129938, 50327, 309, 11, 129029, 129528, 129029, 1599, 124317, 128855, 1163, 125438, 136929, 142840, 11, 129029, 129528, 129029, 730, 26068, 130361, 47742, 137720, 128379, 425, 14926, 72, 3406, 524, 20391, 71, 11, 129029, 129528, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 356, 3441, 129938, 135322, 11, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128984, 129126, 129336, 26, 131400, 128854, 78228, 129029, 25, 128494, 128441, 11, 128534, 458, 11, 142769, 342, 22516, 11, 134352, 128311, 11, 128534, 137048, 11, 809, 128384, 624, 51, 58597, 132300, 128319, 128400, 624, 40225, 124317, 37915, 135418, 133171, 52355, 128278, 128924, 59735, 130390, 131943, 128984, 350, 124644, 142840, 130291, 94576, 94994, 63478, 134311, 85852, 129566, 128502, 130390, 131943, 129591, 130388, 47742, 37915, 135418, 133171, 52355, 128568, 128720, 220, 18, 59735, 130390, 131943, 128984, 350, 124644, 142840, 130291, 94576, 128290, 220, 17, 15, 15, 22, 624, 1282, 644, 128253, 128290, 73525, 11, 922, 276, 128457, 129347, 130097, 129045, 128573, 11, 128319, 128400, 128271, 128387, 129181, 128324, 29974, 47742, 52355, 128424, 128884, 63478, 272, 128042, 129234, 47742, 128529, 132300, 13, 62682, 128608, 141839, 132630, 128454, 132278, 489, 3441, 128726, 129675, 78228, 128376, 47742, 128424, 132242, 128376, 2162, 78, 624, 39, 84300, 79, 128400, 595, 20868, 128384, 11, 128560, 131537, 11, 128278, 128379, 129181, 46051, 128301, 128424, 128884, 128273, 14854, 6362, 128362, 128531, 13, 13509, 7777, 125202, 128560, 131537, 46051, 131149, 128324, 29974, 481, 52355, 69086, 128290, 220, 17, 15, 16, 16, 220, 124603, 129664, 220, 16, 23, 15, 129077, 19551, 11, 128529, 220, 16, 23, 11, 19, 4, 773, 128250, 128290, 220, 17, 15, 16, 15, 11, 69086, 128270, 128324, 29974, 62572, 97610, 220, 24, 15, 129077, 19551, 61758, 128585, 94576, 52355, 624, 1282, 644, 128290, 220, 17, 15, 16, 16, 11, 46051, 128608, 79126, 126341, 128502, 64061, 62029, 129935, 136625, 61758, 52355, 128272, 128324, 29974, 320, 16, 14, 17, 15, 16, 16, 8, 47742, 129935, 136625, 61758, 128324, 29974, 128272, 52355, 320, 16, 16, 14, 17, 15, 16, 16, 4292, 53, 39938, 78228, 128322, 128751, 128319, 128400, 11, 46051, 128608, 79126, 128422, 128980, 142394, 8943, 472, 71431, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 11, 128683, 128585, 47742, 72067, 64, 128292, 129531, 128859, 47742, 270, 309, 132123, 128311, 128466, 128454, 132883, 129181, 129029, 142769, 342, 22516, 59735, 46051, 128301, 624, 128189, 88, 8943, 472, 71431, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 11, 128683, 128585, 47742, 72067, 64, 128292, 129531, 128859, 128324, 29974, 220, 52355, 79126, 136856, 63478, 220, 22, 128880, 13, 131677, 128880, 136856, 128914, 128358, 128281, 320, 339, 124397, 220, 16, 16, 14, 17, 15, 16, 16, 701, 46051, 128608, 79126, 129030, 128271, 137261, 128513, 129705, 128254, 131763, 133600, 132668, 128319, 128400, 128265, 132234, 2852, 86728, 128386, 11, 132601, 85636, 11, 342, 22516, 92430, 8273, 72115, 130897, 11, 128365, 128375, 11, 92430, 24790, 11, 379, 128384, 11, 128683, 128585, 11, 129023, 129677, 11, 3845, 128717, 624, 1001, 309, 132123, 128311, 128466, 128454, 132883, 129181, 46051, 129029, 142769, 342, 22516, 79126, 129263, 128373, 63478, 220, 21, 128880, 13, 131677, 78228, 128880, 136856, 11, 46051, 128608, 128454, 132278, 92430, 128603, 2600, 20303, 2863, 128265, 128419, 128338, 129058, 128301, 26, 489, 3441, 128726, 128431, 128935, 128265, 128253, 137261, 128513, 131763, 133600, 132668, 128319, 128400, 129181, 46051, 128301, 11, 128788, 128589, 37915, 128289, 128336, 128283, 78228, 139988, 131678, 128376, 2162, 78, 624, 39, 2143, 128608, 128320, 128319, 128400, 128418, 69086, 138411, 133787, 98867, 1093, 11, 128249, 65526, 126341, 128502, 128664, 128384, 47742, 127980, 128978, 128260, 136746, 129838, 386, 1225, 644, 320, 38, 4826, 701, 142226, 136312, 128362, 128531, 595, 20868, 128384, 220, 18, 130423, 134782, 320, 1706, 7462, 33545, 701, 129935, 130097, 128376, 2162, 78, 128324, 29974, 7658, 1121, 1387, 685, 8125, 125017, 12, 5050, 45716, 320, 3140, 66626, 568, 62682, 128301, 128268, 28776, 922, 276, 128406, 128914, 342, 124310, 72, 11, 128454, 132278, 131628, 128319, 47742, 141718, 126469, 20303, 2863, 128273, 78228, 128960, 129560, 128664, 128384, 47742, 127980, 128978, 624, 1282, 644, 135418, 133171, 128311, 128482, 59735, 130390, 131943, 128984, 350, 124644, 142840, 128568, 96535, 11, 46051, 128608, 128267, 489, 3441, 128726, 78228, 137261, 128513, 133600, 132668, 922, 276, 128457, 129347, 130097, 11, 129045, 128573, 47742, 128319, 128400, 128271, 128387, 129181, 46051, 128301, 26, 133600, 132668, 128531, 23165, 2143, 78228, 139988, 131678, 79126, 129664, 63478, 129181, 131400, 128854, 128376, 2162, 78, 46051, 128301, 26, 128486, 128784, 11, 270, 77689, 342, 125726, 128253, 128639, 130909, 2600, 653, 27924, 128386, 59735, 46051, 128301, 94994, 128424, 136855, 126260, 128331, 59735, 20303, 2863, 624, 40225, 124483, 128327, 11, 46051, 128608, 128268, 128267, 489, 3441, 128726, 128253, 137261, 128513, 128529, 132300, 131628, 128319, 128272, 78228, 128960, 129560, 127980, 128978, 47742, 128664, 128384, 624, 38, 4826, 128846, 128447, 128249, 142122, 132551, 128362, 128531, 92105, 624, 20897, 53022, 220, 17, 15, 14, 16, 17, 11, 131400, 128854, 220, 21, 128301, 136746, 129838, 386, 1225, 644, 129367, 129922, 37915, 9512, 1387, 685, 11, 444, 125017, 11, 52355, 11, 131053, 34782, 11, 128324, 29974, 47742, 1163, 2185, 128494, 128267, 126258, 129935, 130097, 663, 98210, 140868, 38, 4826, 220, 19, 83, 60257, 128502, 128272, 128799, 130287, 98073, 5355, 72, 350, 672, 59735, 52355, 624, 1001, 42504, 131943, 128984, 350, 124644, 142840, 128267, 270, 309, 126258, 129935, 130097, 96535, 624, 39, 124489, 130097, 28776, 128427, 128456, 25, 136745, 128447, 128249, 142122, 132551, 92105, 128265, 922, 276, 128457, 128421, 128400, 128362, 128531, 129009, 136312, 136746, 129838, 386, 1225, 644, 129367, 129922, 13, 84137, 129784, 128361, 130097, 128277, 11, 78228, 128275, 131400, 128854, 479, 4826, 128267, 128553, 489, 2185, 132972, 129748, 128265, 128253, 137261, 128513, 128529, 132300, 128423, 128432, 128319, 128400, 479, 4826, 11, 128328, 128482, 79668, 78228, 128704, 128675, 47742, 127980, 128978, 128379, 128310, 270, 309, 94995, 128271, 128304, 47742, 128423, 128432, 128304, 86139, 128336, 128283, 20165, 2185, 129009, 136312, 128319, 128400, 92105, 479, 4826, 94995, 72, 130393, 220, 17, 15, 16, 17, 220, 220, 17, 15, 17, 17, 47742, 128580, 128456, 305, 4076, 128285, 128278, 128379, 127980, 128978, 128379, 128310, 86139, 128362, 128531, 128373, 8688, 595, 20868, 128384, 624, 1282, 644, 138411, 133787, 129935, 130097, 11, 78228, 128275, 131400, 128854, 128267, 129212, 350, 124527, 128888, 98073, 5355, 72, 350, 672, 47742, 128977, 128935, 131309, 129212, 78228, 135547, 128450, 342, 6023, 130537, 128265, 128319, 128400, 128362, 128531, 128457, 128573, 132539, 71800, 130540, 92430, 24790, 47742, 128740, 128284, 69086, 127980, 128978, 479, 4826, 26, 128289, 64061, 128980, 140923, 128410, 647, 72115, 130897, 479, 4826, 624, 35544, 124382, 29974, 37915, 128249, 64061, 97483, 128761, 129541, 59735, 128319, 128400, 595, 20868, 128384, 479, 4826, 47742, 128268, 79126, 129589, 135364, 128271, 128918, 128994, 94576, 128688, 128935, 128319, 128400, 96535, 624, 20897, 4076, 125115, 130597, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210 ]
1,211
[ 40225, 70248, 220, 17, 15, 17, 15, 11, 130821, 128368, 131500, 293, 3441, 8031, 127980, 128978, 132234, 138757, 129664, 220, 18, 15, 12, 19, 15, 13744, 7, 1143, 20868, 759, 84, 75157, 8, 481, 142303, 128595, 135322, 128531, 92430, 24790, 11, 129045, 92430, 132234, 138757, 94995, 72, 130393, 220, 17, 15, 16, 16, 481, 220, 17, 15, 17, 15, 128845, 129203, 128575, 37915, 220, 16, 15, 15, 4, 65526, 128847, 129838, 131307, 11, 129838, 71800, 11, 129838, 128788, 128589, 128639, 130909, 128267, 28776, 128406, 272, 2185, 128376, 128507, 128367, 293, 125672, 128311, 11, 3275, 125115, 92430, 62029, 130700, 26, 130821, 128368, 131500, 293, 3441, 8031, 127980, 128978, 132234, 138757, 129664, 220, 18, 15, 12, 19, 15, 4, 130821, 128368, 128823, 129866, 128401, 128664, 624, 40225, 39938, 128595, 96535, 79126, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 13, 142303, 128595, 128268, 128845, 129203, 128575, 220, 16, 15, 15, 4, 65526, 128847, 128329, 128411, 11, 489, 2185, 3845, 47742, 136402, 128906, 78228, 128847, 133318, 136192, 28776, 128603, 133404, 128394, 11, 128603, 134355, 59735, 134355, 128366, 128704, 128675, 69086, 128300, 13, 356, 2185, 128376, 128507, 128367, 62029, 129372, 130980, 128447, 128251, 128394, 135433, 272, 2185, 128376, 92430, 24790, 11, 129203, 128575, 128845, 15122, 37915, 128282, 128417, 129551, 136402, 128906, 78228, 126469, 94995, 128890, 127980, 128978, 132234, 138757, 7777, 383, 47742, 856, 336, 63478, 78228, 129784, 128361, 128362, 1091, 71, 11, 129045, 128338, 128904, 128367, 129414, 128367, 128311, 128466, 92430, 24790, 135593, 129045, 128422, 129553, 13, 128678, 128322, 922, 276, 128275, 128301, 94576, 128376, 132859, 11, 131210, 11, 128760, 11, 8943, 11, 129857, 128475, 129509, 138051, 128570, 128350, 28776, 129057, 968, 92430, 24790, 128484, 128804, 128475, 489, 524, 92430, 24790, 128484, 128804, 272, 2185, 128376, 129202, 125440, 78228, 128507, 128367, 62029, 129372, 130980, 129240, 128368, 2162, 78, 11, 128273, 129054, 129922, 128447, 128251, 128394, 47742, 653, 27924, 128386, 127980, 128978, 132234, 138757, 13, 128678, 128322, 922, 276, 134355, 11, 128311, 128918, 94576, 489, 2185, 220, 85375, 128447, 128376, 128847, 28776, 65526, 128392, 128484, 129752, 11, 139127, 129101, 128484, 128804, 62029, 23165, 2143, 79668, 128424, 128370, 47742, 129477, 128814, 128431, 128935, 131084, 18698, 16719, 59735, 128251, 128394, 13, 130017, 595, 20868, 128812, 128336, 128283, 142303, 128595, 96535, 37915, 128273, 220, 17, 19, 142876, 129427, 128329, 13, 130597, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 70248, 220, 17, 15, 17, 15, 11, 130821, 128368, 131500, 293, 3441, 8031, 127980, 128978, 132234, 138757, 129664, 220, 18, 15, 12, 19, 15, 13744, 7, 1143, 20868, 759, 84, 75157, 8, 481, 142303, 128595, 135322, 128531, 92430, 24790, 11, 129045, 92430, 132234, 138757, 94995, 72, 130393, 220, 17, 15, 16, 16, 481, 220, 17, 15, 17, 15, 128845, 129203, 128575, 37915, 220, 16, 15, 15, 4, 65526, 128847, 129838, 131307, 11, 129838, 71800, 11, 129838, 128788, 128589, 128639, 130909, 128267, 28776, 128406, 272, 2185, 128376, 128507, 128367, 293, 125672, 128311, 11, 3275, 125115, 92430, 62029, 130700, 26, 130821, 128368, 131500, 293, 3441, 8031, 127980, 128978, 132234, 138757, 129664, 220, 18, 15, 12, 19, 15, 4, 130821, 128368, 128823, 129866, 128401, 128664, 624, 40225, 39938, 128595, 96535, 79126, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 13, 142303, 128595, 128268, 128845, 129203, 128575, 220, 16, 15, 15, 4, 65526, 128847, 128329, 128411, 11, 489, 2185, 3845, 47742, 136402, 128906, 78228, 128847, 133318, 136192, 28776, 128603, 133404, 128394, 11, 128603, 134355, 59735, 134355, 128366, 128704, 128675, 69086, 128300, 13, 356, 2185, 128376, 128507, 128367, 62029, 129372, 130980, 128447, 128251, 128394, 135433, 272, 2185, 128376, 92430, 24790, 11, 129203, 128575, 128845, 15122, 37915, 128282, 128417, 129551, 136402, 128906, 78228, 126469, 94995, 128890, 127980, 128978, 132234, 138757, 7777, 383, 47742, 856, 336, 63478, 78228, 129784, 128361, 128362, 1091, 71, 11, 129045, 128338, 128904, 128367, 129414, 128367, 128311, 128466, 92430, 24790, 135593, 129045, 128422, 129553, 13, 128678, 128322, 922, 276, 128275, 128301, 94576, 128376, 132859, 11, 131210, 11, 128760, 11, 8943, 11, 129857, 128475, 129509, 138051, 128570, 128350, 28776, 129057, 968, 92430, 24790, 128484, 128804, 128475, 489, 524, 92430, 24790, 128484, 128804, 272, 2185, 128376, 129202, 125440, 78228, 128507, 128367, 62029, 129372, 130980, 129240, 128368, 2162, 78, 11, 128273, 129054, 129922, 128447, 128251, 128394, 47742, 653, 27924, 128386, 127980, 128978, 132234, 138757, 13, 128678, 128322, 922, 276, 134355, 11, 128311, 128918, 94576, 489, 2185, 220, 85375, 128447, 128376, 128847, 28776, 65526, 128392, 128484, 129752, 11, 139127, 129101, 128484, 128804, 62029, 23165, 2143, 79668, 128424, 128370, 47742, 129477, 128814, 128431, 128935, 131084, 18698, 16719, 59735, 128251, 128394, 13, 130017, 595, 20868, 128812, 128336, 128283, 142303, 128595, 96535, 37915, 128273, 220, 17, 19, 142876, 129427, 128329, 13, 130597, 7767, 27021, 624, 151645 ]
[ 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
[ 40225, 39938, 128415, 130623, 39339, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 11, 128415, 97610, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 129029, 134352, 128311, 128348, 126258, 132972, 141127, 128333, 270, 352, 128314, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128265, 129913, 128284, 128278, 128379, 47742, 129913, 128284, 128415, 97610, 59735, 128275, 128301, 13, 1163, 644, 128270, 11, 129029, 128456, 128415, 128433, 129017, 11, 128329, 128327, 128268, 130623, 39339, 128249, 65526, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 11, 129913, 128284, 128415, 97610, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 33, 37678, 134352, 128311, 2600, 128345, 11, 11563, 71, 129203, 78228, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 11, 129913, 128284, 128415, 97610, 63478, 128943, 128855, 129831, 128319, 128250, 129009, 136312, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 59735, 128750, 128301, 11, 293, 3441, 130068, 78228, 132122, 128978, 128322, 128760, 131140, 131520, 595, 20868, 128384, 6558, 3202, 128410, 11, 62029, 128386, 128877, 128886, 26, 132234, 128386, 132234, 138757, 26, 128847, 128410, 128585, 69086, 132122, 128978, 129023, 129677, 11, 379, 128384, 11, 128417, 129067, 129991, 128331, 47742, 62029, 128781, 856, 27924, 26, 128365, 128375, 131560, 47742, 128365, 128375, 135578, 128425, 26, 128421, 128250, 128623, 128285, 129913, 128284, 128415, 97610, 11, 128553, 489, 2185, 86139, 128253, 129857, 61758, 922, 276, 128550, 131881, 85852, 128309, 128466, 128415, 97610, 2162, 78, 624, 40225, 124483, 128327, 11, 128360, 128433, 130553, 98896, 129203, 348, 352, 130498, 126258, 128595, 129281, 128249, 65526, 129857, 11, 132122, 128978, 53037, 128320, 128360, 128422, 128282, 129481, 128886, 128475, 129481, 128886, 53037, 128362, 305, 4076, 63478, 128423, 128432, 128260, 78228, 126258, 128595, 28776, 128439, 128560, 131537, 2162, 78, 11, 128492, 129589, 128575, 129541, 128263, 129991, 128331, 624, 53, 23531, 128490, 11, 129029, 134352, 128311, 79126, 128456, 128415, 128433, 129017, 128249, 65526, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 128260, 25, 133784, 128595, 128278, 128379, 131140, 131520, 11, 129367, 129922, 11, 130314, 128376, 11, 128943, 128855, 92105, 47742, 128422, 128279, 69086, 132122, 128978, 128847, 128410, 128585, 128683, 128585, 47742, 128254, 270, 3441, 26, 133784, 128595, 131140, 131520, 127980, 62029, 128386, 11, 127980, 62029, 128386, 129481, 128886, 11, 127980, 128751, 128415, 11, 127980, 62029, 128781, 2162, 78, 653, 78228, 126258, 128595, 96535, 28776, 128439, 128560, 131537, 2162, 78, 11, 53037, 128360, 129645, 128301, 129481, 128886, 26, 133784, 128595, 128278, 128379, 128943, 128855, 132601, 128484, 128821, 11, 128250, 62029, 131531, 128821, 128304, 128475, 128411, 220, 20, 15, 54173, 129281, 128704, 129030, 28776, 128334, 129065, 595, 20868, 128384, 6558, 3202, 128410, 128788, 128589, 128639, 130909, 26, 133784, 128595, 128278, 128379, 128751, 128871, 131307, 94576, 922, 126011, 72067, 124397, 85636, 624, 40225, 124483, 128327, 11, 129029, 128268, 128456, 128415, 128622, 128253, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 293, 3441, 130068, 25, 129645, 128392, 128751, 128871, 132601, 2832, 75050, 85636, 128353, 128284, 62029, 128781, 2162, 78, 26, 128275, 128392, 85636, 128415, 11834, 87939, 62029, 128386, 26, 126258, 128595, 85636, 128415, 78228, 85636, 79479, 128904, 128367, 128322, 128449, 128585, 132234, 128386, 11, 132234, 138757, 26, 126258, 128595, 132601, 128484, 28776, 62029, 131531, 94576, 220, 20, 15, 54173, 128570, 128350, 128278, 128379, 128272, 128704, 129030, 28776, 128334, 129065, 595, 20868, 128384, 6558, 3202, 128410, 128639, 130909, 11, 128788, 128589, 128639, 130909, 26, 126258, 128595, 128272, 129838, 128329, 135774, 128394, 133952, 20165, 38715, 752, 97832, 128480, 128553, 489, 2185, 11, 78228, 128847, 129281, 129784, 128361, 220, 16, 18, 20, 47742, 78228, 128847, 135547, 128449, 129281, 129784, 128361, 220, 16, 17, 15, 11, 78228, 128847, 129838, 141109, 7777, 524, 9338, 38, 88316, 11, 2162, 78, 913, 63478, 348, 352, 130498, 129913, 128284, 128415, 97610, 624, 40225, 87939, 128250, 78228, 11563, 71, 129203, 128387, 61758, 63478, 348, 352, 130498, 129913, 128284, 128415, 97610, 11, 129029, 134352, 128311, 128456, 128415, 128433, 129017, 131270, 78228, 128387, 61758, 25, 425, 124890, 134400, 11, 133465, 130027, 653, 128387, 61758, 129590, 134400, 55784, 7777, 125202, 128415, 97610, 128821, 26, 128387, 61758, 133465, 130027, 128336, 128384, 53037, 128531, 23165, 2143, 63478, 653, 128492, 129589, 59735, 913, 88, 39325, 124900, 595, 20868, 128384, 11, 141580, 128451, 348, 352, 130498, 47742, 128365, 128599, 128336, 128283, 59735, 78228, 128275, 128392, 130889, 133465, 69086, 128301, 128320, 129572, 128751, 624, 40225, 124483, 128327, 11, 129029, 128456, 128415, 130623, 39339, 131270, 78228, 128387, 61758, 143692, 11, 2162, 78, 913, 13, 84137, 129029, 134352, 128311, 11, 78228, 128387, 61758, 96535, 129831, 128319, 128250, 128333, 128846, 128362, 128531, 128387, 61758, 128415, 97610, 128427, 128599, 59735, 128324, 29974, 13, 136138, 128384, 11, 128283, 308, 352, 138737, 61758, 135322, 128531, 128324, 29974, 128268, 128348, 2600, 348, 352, 128421, 128250, 128387, 61758, 143692, 128250, 65526, 653, 27924, 65526, 2600, 348, 352, 128914, 220, 17, 13, 15, 15, 15, 129427, 128329, 279, 78, 129784, 128361, 128319, 128400, 59735, 129591, 130388, 624, 53, 352, 129597, 128907, 220, 23, 20, 4, 128309, 128466, 128319, 128329, 128415, 97610, 624, 785, 78, 128456, 128415, 59735, 129029, 134352, 128311, 11, 128427, 128278, 128379, 28776, 126258, 128595, 129281, 11563, 71, 129203, 78228, 126258, 128595, 348, 352, 130498, 129913, 128284, 128278, 128379, 11, 128275, 128415, 97610, 28776, 141580, 128451, 348, 352, 130498, 79668, 128415, 97610, 61758, 128585, 129281, 11563, 71, 129203, 128387, 61758, 348, 352, 130498, 129913, 128284, 128415, 97610, 128267, 63478, 348, 352, 130498, 128725, 130925, 128740, 63478, 128253, 128334, 129065, 128281, 128333, 624, 785, 78, 126258, 132972, 11, 653, 27924, 128386, 28776, 141580, 128451, 348, 352, 130498, 79668, 132645, 132601, 85636, 128904, 128367, 128415, 97610, 128268, 128267, 63478, 348, 352, 129913, 128284, 128415, 97610, 624, 51, 4076, 128452, 11, 129029, 134352, 128311, 128268, 128456, 128415, 129705, 128254, 128449, 129572, 348, 352, 128421, 128250, 128253, 128421, 129014, 96535, 624, 34, 50483, 128254, 11, 129240, 130498, 2600, 348, 352, 129913, 128284, 128278, 128379, 129597, 128907, 128421, 128250, 129058, 126258, 128595, 128411, 220, 22, 15, 4, 129822, 129240, 130498, 128278, 128379, 59735, 126258, 128595, 320, 30664, 24015, 293, 3441, 130068, 130498, 129480, 128285, 1215, 129240, 130498, 2600, 348, 352, 129913, 128284, 128415, 97610, 129597, 128907, 128411, 220, 23, 20, 4, 128309, 128466, 128319, 128329, 128415, 97610, 11, 128319, 128329, 137930, 133457, 128415, 97610, 11, 25798, 128812, 128482, 128442, 132645, 132601, 85636, 128904, 128367, 128415, 97610, 624, 785, 78, 128456, 128415, 59735, 129029, 134352, 128311, 11, 129822, 129240, 136525, 138178, 2600, 348, 352, 128421, 128250, 128249, 128351, 61758, 53037, 63478, 132629, 128459, 220, 16, 20, 4, 130498, 128334, 130554, 128336, 28776, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 320, 50996, 67657, 128444, 128336, 128283, 128311, 95082, 129913, 128284, 128278, 128379, 11, 129913, 128284, 128415, 97610, 59735, 129645, 128301, 568, 130017, 129240, 136525, 138178, 2600, 348, 352, 128421, 128250, 128249, 128351, 61758, 47742, 128251, 28776, 128542, 922, 276, 53037, 63478, 132629, 128459, 220, 17, 20, 4, 130498, 128334, 130554, 128336, 28776, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 624, 785, 78, 129029, 134352, 128311, 11, 69086, 128331, 128319, 128788, 128589, 11, 129240, 2600, 348, 352, 11, 129822, 129240, 2600, 348, 352, 132629, 128459, 128449, 129572, 128273, 11, 138737, 61758, 135322, 128531, 128324, 29974, 128267, 128603, 129410, 129029, 134352, 128311, 79668, 128361, 130390, 131943, 129591, 130388, 856, 336, 130985, 11, 128784, 128333, 624, 44, 124315, 89437, 130606, 856, 336, 128401, 128683, 126258, 132972, 47742, 131072, 128431, 128272, 128358, 624, 26067, 71, 17275, 52551, 624, 51, 124185, 131774, 25, 220, 647, 352, 130498, 1154, 129913, 128284, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 39938, 128415, 130623, 39339, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 11, 128415, 97610, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 129029, 134352, 128311, 128348, 126258, 132972, 141127, 128333, 270, 352, 128314, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128265, 129913, 128284, 128278, 128379, 47742, 129913, 128284, 128415, 97610, 59735, 128275, 128301, 13, 1163, 644, 128270, 11, 129029, 128456, 128415, 128433, 129017, 11, 128329, 128327, 128268, 130623, 39339, 128249, 65526, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 11, 129913, 128284, 128415, 97610, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 33, 37678, 134352, 128311, 2600, 128345, 11, 11563, 71, 129203, 78228, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 11, 129913, 128284, 128415, 97610, 63478, 128943, 128855, 129831, 128319, 128250, 129009, 136312, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 59735, 128750, 128301, 11, 293, 3441, 130068, 78228, 132122, 128978, 128322, 128760, 131140, 131520, 595, 20868, 128384, 6558, 3202, 128410, 11, 62029, 128386, 128877, 128886, 26, 132234, 128386, 132234, 138757, 26, 128847, 128410, 128585, 69086, 132122, 128978, 129023, 129677, 11, 379, 128384, 11, 128417, 129067, 129991, 128331, 47742, 62029, 128781, 856, 27924, 26, 128365, 128375, 131560, 47742, 128365, 128375, 135578, 128425, 26, 128421, 128250, 128623, 128285, 129913, 128284, 128415, 97610, 11, 128553, 489, 2185, 86139, 128253, 129857, 61758, 922, 276, 128550, 131881, 85852, 128309, 128466, 128415, 97610, 2162, 78, 624, 40225, 124483, 128327, 11, 128360, 128433, 130553, 98896, 129203, 348, 352, 130498, 126258, 128595, 129281, 128249, 65526, 129857, 11, 132122, 128978, 53037, 128320, 128360, 128422, 128282, 129481, 128886, 128475, 129481, 128886, 53037, 128362, 305, 4076, 63478, 128423, 128432, 128260, 78228, 126258, 128595, 28776, 128439, 128560, 131537, 2162, 78, 11, 128492, 129589, 128575, 129541, 128263, 129991, 128331, 624, 53, 23531, 128490, 11, 129029, 134352, 128311, 79126, 128456, 128415, 128433, 129017, 128249, 65526, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 128260, 25, 133784, 128595, 128278, 128379, 131140, 131520, 11, 129367, 129922, 11, 130314, 128376, 11, 128943, 128855, 92105, 47742, 128422, 128279, 69086, 132122, 128978, 128847, 128410, 128585, 128683, 128585, 47742, 128254, 270, 3441, 26, 133784, 128595, 131140, 131520, 127980, 62029, 128386, 11, 127980, 62029, 128386, 129481, 128886, 11, 127980, 128751, 128415, 11, 127980, 62029, 128781, 2162, 78, 653, 78228, 126258, 128595, 96535, 28776, 128439, 128560, 131537, 2162, 78, 11, 53037, 128360, 129645, 128301, 129481, 128886, 26, 133784, 128595, 128278, 128379, 128943, 128855, 132601, 128484, 128821, 11, 128250, 62029, 131531, 128821, 128304, 128475, 128411, 220, 20, 15, 54173, 129281, 128704, 129030, 28776, 128334, 129065, 595, 20868, 128384, 6558, 3202, 128410, 128788, 128589, 128639, 130909, 26, 133784, 128595, 128278, 128379, 128751, 128871, 131307, 94576, 922, 126011, 72067, 124397, 85636, 624, 40225, 124483, 128327, 11, 129029, 128268, 128456, 128415, 128622, 128253, 126258, 128595, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 293, 3441, 130068, 25, 129645, 128392, 128751, 128871, 132601, 2832, 75050, 85636, 128353, 128284, 62029, 128781, 2162, 78, 26, 128275, 128392, 85636, 128415, 11834, 87939, 62029, 128386, 26, 126258, 128595, 85636, 128415, 78228, 85636, 79479, 128904, 128367, 128322, 128449, 128585, 132234, 128386, 11, 132234, 138757, 26, 126258, 128595, 132601, 128484, 28776, 62029, 131531, 94576, 220, 20, 15, 54173, 128570, 128350, 128278, 128379, 128272, 128704, 129030, 28776, 128334, 129065, 595, 20868, 128384, 6558, 3202, 128410, 128639, 130909, 11, 128788, 128589, 128639, 130909, 26, 126258, 128595, 128272, 129838, 128329, 135774, 128394, 133952, 20165, 38715, 752, 97832, 128480, 128553, 489, 2185, 11, 78228, 128847, 129281, 129784, 128361, 220, 16, 18, 20, 47742, 78228, 128847, 135547, 128449, 129281, 129784, 128361, 220, 16, 17, 15, 11, 78228, 128847, 129838, 141109, 7777, 524, 9338, 38, 88316, 11, 2162, 78, 913, 63478, 348, 352, 130498, 129913, 128284, 128415, 97610, 624, 40225, 87939, 128250, 78228, 11563, 71, 129203, 128387, 61758, 63478, 348, 352, 130498, 129913, 128284, 128415, 97610, 11, 129029, 134352, 128311, 128456, 128415, 128433, 129017, 131270, 78228, 128387, 61758, 25, 425, 124890, 134400, 11, 133465, 130027, 653, 128387, 61758, 129590, 134400, 55784, 7777, 125202, 128415, 97610, 128821, 26, 128387, 61758, 133465, 130027, 128336, 128384, 53037, 128531, 23165, 2143, 63478, 653, 128492, 129589, 59735, 913, 88, 39325, 124900, 595, 20868, 128384, 11, 141580, 128451, 348, 352, 130498, 47742, 128365, 128599, 128336, 128283, 59735, 78228, 128275, 128392, 130889, 133465, 69086, 128301, 128320, 129572, 128751, 624, 40225, 124483, 128327, 11, 129029, 128456, 128415, 130623, 39339, 131270, 78228, 128387, 61758, 143692, 11, 2162, 78, 913, 13, 84137, 129029, 134352, 128311, 11, 78228, 128387, 61758, 96535, 129831, 128319, 128250, 128333, 128846, 128362, 128531, 128387, 61758, 128415, 97610, 128427, 128599, 59735, 128324, 29974, 13, 136138, 128384, 11, 128283, 308, 352, 138737, 61758, 135322, 128531, 128324, 29974, 128268, 128348, 2600, 348, 352, 128421, 128250, 128387, 61758, 143692, 128250, 65526, 653, 27924, 65526, 2600, 348, 352, 128914, 220, 17, 13, 15, 15, 15, 129427, 128329, 279, 78, 129784, 128361, 128319, 128400, 59735, 129591, 130388, 624, 53, 352, 129597, 128907, 220, 23, 20, 4, 128309, 128466, 128319, 128329, 128415, 97610, 624, 785, 78, 128456, 128415, 59735, 129029, 134352, 128311, 11, 128427, 128278, 128379, 28776, 126258, 128595, 129281, 11563, 71, 129203, 78228, 126258, 128595, 348, 352, 130498, 129913, 128284, 128278, 128379, 11, 128275, 128415, 97610, 28776, 141580, 128451, 348, 352, 130498, 79668, 128415, 97610, 61758, 128585, 129281, 11563, 71, 129203, 128387, 61758, 348, 352, 130498, 129913, 128284, 128415, 97610, 128267, 63478, 348, 352, 130498, 128725, 130925, 128740, 63478, 128253, 128334, 129065, 128281, 128333, 624, 785, 78, 126258, 132972, 11, 653, 27924, 128386, 28776, 141580, 128451, 348, 352, 130498, 79668, 132645, 132601, 85636, 128904, 128367, 128415, 97610, 128268, 128267, 63478, 348, 352, 129913, 128284, 128415, 97610, 624, 51, 4076, 128452, 11, 129029, 134352, 128311, 128268, 128456, 128415, 129705, 128254, 128449, 129572, 348, 352, 128421, 128250, 128253, 128421, 129014, 96535, 624, 34, 50483, 128254, 11, 129240, 130498, 2600, 348, 352, 129913, 128284, 128278, 128379, 129597, 128907, 128421, 128250, 129058, 126258, 128595, 128411, 220, 22, 15, 4, 129822, 129240, 130498, 128278, 128379, 59735, 126258, 128595, 320, 30664, 24015, 293, 3441, 130068, 130498, 129480, 128285, 1215, 129240, 130498, 2600, 348, 352, 129913, 128284, 128415, 97610, 129597, 128907, 128411, 220, 23, 20, 4, 128309, 128466, 128319, 128329, 128415, 97610, 11, 128319, 128329, 137930, 133457, 128415, 97610, 11, 25798, 128812, 128482, 128442, 132645, 132601, 85636, 128904, 128367, 128415, 97610, 624, 785, 78, 128456, 128415, 59735, 129029, 134352, 128311, 11, 129822, 129240, 136525, 138178, 2600, 348, 352, 128421, 128250, 128249, 128351, 61758, 53037, 63478, 132629, 128459, 220, 16, 20, 4, 130498, 128334, 130554, 128336, 28776, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 320, 50996, 67657, 128444, 128336, 128283, 128311, 95082, 129913, 128284, 128278, 128379, 11, 129913, 128284, 128415, 97610, 59735, 129645, 128301, 568, 130017, 129240, 136525, 138178, 2600, 348, 352, 128421, 128250, 128249, 128351, 61758, 47742, 128251, 28776, 128542, 922, 276, 53037, 63478, 132629, 128459, 220, 17, 20, 4, 130498, 128334, 130554, 128336, 28776, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 624, 785, 78, 129029, 134352, 128311, 11, 69086, 128331, 128319, 128788, 128589, 11, 129240, 2600, 348, 352, 11, 129822, 129240, 2600, 348, 352, 132629, 128459, 128449, 129572, 128273, 11, 138737, 61758, 135322, 128531, 128324, 29974, 128267, 128603, 129410, 129029, 134352, 128311, 79668, 128361, 130390, 131943, 129591, 130388, 856, 336, 130985, 11, 128784, 128333, 624, 44, 124315, 89437, 130606, 856, 336, 128401, 128683, 126258, 132972, 47742, 131072, 128431, 128272, 128358, 624, 26067, 71, 17275, 52551, 624, 51, 124185, 131774, 25, 220, 647, 352, 130498, 1154, 129913, 128284, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211 ]
1,212
[ 38, 125726, 348, 125097, 69086, 62572, 97610, 128435, 83, 9574, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128329, 128431, 128265, 129031, 135352, 78228, 653, 27924, 128386, 63478, 128424, 128884, 62572, 97610, 82790, 128435, 130003, 279, 78, 128319, 128329, 79126, 129212, 320, 82, 27607, 128375, 11, 521, 128042, 128433, 8, 126199, 79126, 1091, 71, 130051, 128249, 128463, 128475, 128401, 128366, 128319, 128329, 128371, 128300, 8943, 128373, 130303, 128379, 220, 17, 15, 14, 17, 15, 16, 16, 14, 14903, 7671, 1162, 59735, 129029, 128534, 137048, 320, 968, 53022, 220, 16, 17, 14, 20, 14, 17, 15, 16, 16, 8, 279, 78, 78228, 128334, 129065, 129029, 128534, 137048, 128456, 128415, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 33, 37678, 128534, 137048, 28776, 129414, 128367, 128846, 128653, 129705, 128254, 11, 128417, 129551, 137277, 521, 124760, 11, 129315, 126370, 128333, 47742, 129477, 128814, 2600, 653, 27924, 128386, 128345, 624, 1282, 124603, 128270, 11, 128300, 220, 16, 17, 14, 20, 14, 17, 15, 16, 16, 11, 129029, 128534, 137048, 8943, 128373, 130303, 128379, 220, 17, 15, 14, 17, 15, 16, 16, 14, 14903, 7671, 1162, 13, 84137, 128270, 128560, 128310, 62572, 97610, 128435, 130003, 94576, 220, 24, 131501, 132055, 128570, 129630, 94994, 128266, 128799, 128884, 62572, 97610, 11, 128703, 128289, 128336, 128283, 78228, 126370, 128333, 128283, 128373, 11, 128282, 143281, 130623, 39339, 128253, 131826, 137971, 32154, 2600, 78228, 128322, 922, 276, 128275, 128301, 28776, 133024, 128918, 25, 140288, 98127, 128333, 128475, 140288, 137930, 128918, 37915, 128275, 62572, 97610, 11, 128275, 129036, 131628, 59735, 128311, 132159, 85636, 128415, 11, 595, 20868, 653, 27924, 128433, 128435, 130003, 128270, 128475, 128319, 128329, 128479, 128356, 59735, 128311, 132159, 85636, 128415, 11, 595, 20868, 653, 27924, 128433, 128435, 130003, 128270, 79126, 63478, 128322, 922, 276, 128479, 129054, 130906, 342, 22516, 128324, 29974, 128269, 128301, 128703, 128319, 128513, 128585, 131400, 128277, 279, 78, 126370, 128333, 59735, 128513, 129963, 26, 140288, 128977, 128370, 128322, 128760, 128417, 128373, 11, 128417, 129852, 128435, 130003, 129078, 128334, 129065, 653, 129029, 479, 22516, 92430, 129984, 130897, 128376, 624, 42, 6023, 128336, 128283, 128253, 126370, 128333, 128273, 11, 128271, 653, 27924, 128386, 62572, 97610, 128435, 130003, 79126, 129233, 128639, 130909, 11, 53037, 28776, 129078, 128334, 129065, 79668, 92430, 922, 276, 2600, 326, 9574, 61758, 59735, 128312, 13, 135359, 128589, 37915, 128253, 653, 27924, 128386, 62572, 97610, 79126, 129212, 128319, 128329, 47742, 79126, 1091, 71, 130051, 128249, 128463, 128475, 128401, 128366, 128319, 128329, 128371, 128300, 8943, 128373, 130303, 128379, 128273, 624, 2183, 124504, 128521, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 38, 125726, 348, 125097, 69086, 62572, 97610, 128435, 83, 9574, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128329, 128431, 128265, 129031, 135352, 78228, 653, 27924, 128386, 63478, 128424, 128884, 62572, 97610, 82790, 128435, 130003, 279, 78, 128319, 128329, 79126, 129212, 320, 82, 27607, 128375, 11, 521, 128042, 128433, 8, 126199, 79126, 1091, 71, 130051, 128249, 128463, 128475, 128401, 128366, 128319, 128329, 128371, 128300, 8943, 128373, 130303, 128379, 220, 17, 15, 14, 17, 15, 16, 16, 14, 14903, 7671, 1162, 59735, 129029, 128534, 137048, 320, 968, 53022, 220, 16, 17, 14, 20, 14, 17, 15, 16, 16, 8, 279, 78, 78228, 128334, 129065, 129029, 128534, 137048, 128456, 128415, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 33, 37678, 128534, 137048, 28776, 129414, 128367, 128846, 128653, 129705, 128254, 11, 128417, 129551, 137277, 521, 124760, 11, 129315, 126370, 128333, 47742, 129477, 128814, 2600, 653, 27924, 128386, 128345, 624, 1282, 124603, 128270, 11, 128300, 220, 16, 17, 14, 20, 14, 17, 15, 16, 16, 11, 129029, 128534, 137048, 8943, 128373, 130303, 128379, 220, 17, 15, 14, 17, 15, 16, 16, 14, 14903, 7671, 1162, 13, 84137, 128270, 128560, 128310, 62572, 97610, 128435, 130003, 94576, 220, 24, 131501, 132055, 128570, 129630, 94994, 128266, 128799, 128884, 62572, 97610, 11, 128703, 128289, 128336, 128283, 78228, 126370, 128333, 128283, 128373, 11, 128282, 143281, 130623, 39339, 128253, 131826, 137971, 32154, 2600, 78228, 128322, 922, 276, 128275, 128301, 28776, 133024, 128918, 25, 140288, 98127, 128333, 128475, 140288, 137930, 128918, 37915, 128275, 62572, 97610, 11, 128275, 129036, 131628, 59735, 128311, 132159, 85636, 128415, 11, 595, 20868, 653, 27924, 128433, 128435, 130003, 128270, 128475, 128319, 128329, 128479, 128356, 59735, 128311, 132159, 85636, 128415, 11, 595, 20868, 653, 27924, 128433, 128435, 130003, 128270, 79126, 63478, 128322, 922, 276, 128479, 129054, 130906, 342, 22516, 128324, 29974, 128269, 128301, 128703, 128319, 128513, 128585, 131400, 128277, 279, 78, 126370, 128333, 59735, 128513, 129963, 26, 140288, 128977, 128370, 128322, 128760, 128417, 128373, 11, 128417, 129852, 128435, 130003, 129078, 128334, 129065, 653, 129029, 479, 22516, 92430, 129984, 130897, 128376, 624, 42, 6023, 128336, 128283, 128253, 126370, 128333, 128273, 11, 128271, 653, 27924, 128386, 62572, 97610, 128435, 130003, 79126, 129233, 128639, 130909, 11, 53037, 28776, 129078, 128334, 129065, 79668, 92430, 922, 276, 2600, 326, 9574, 61758, 59735, 128312, 13, 135359, 128589, 37915, 128253, 653, 27924, 128386, 62572, 97610, 79126, 129212, 128319, 128329, 47742, 79126, 1091, 71, 130051, 128249, 128463, 128475, 128401, 128366, 128319, 128329, 128371, 128300, 8943, 128373, 130303, 128379, 128273, 624, 2183, 124504, 128521, 624, 151645 ]
[ 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
[ 42, 25214, 137384, 129393, 128292, 730, 22455, 45, 128521, 128685, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129393, 128292, 730, 98661, 128292, 47742, 128534, 128781, 320, 42, 22455, 45, 8, 128521, 128685, 11, 128331, 128479, 128292, 62029, 128980, 128664, 128384, 128278, 128924, 127980, 128978, 129854, 130726, 23165, 2143, 137384, 128290, 128292, 92105, 86139, 131149, 220, 22, 14, 16, 15, 624, 40225, 37059, 128292, 730, 22455, 45, 128521, 128685, 63478, 64061, 128980, 279, 78, 140923, 128333, 5492, 128675, 129181, 129591, 130388, 128324, 29974, 47742, 132034, 128300, 220, 16, 18, 14, 16, 16, 14, 17, 15, 15, 24, 47742, 3406, 88, 51580, 128333, 220, 17, 15, 21, 22, 45274, 40225, 9285, 51, 70, 59735, 130390, 131943, 129591, 130388, 13, 131431, 129393, 128292, 730, 22455, 45, 128521, 128685, 63478, 128333, 128846, 37915, 128331, 128479, 128292, 130693, 129156, 279, 78, 130179, 128338, 128924, 129263, 59735, 78228, 128479, 128292, 132034, 47742, 128249, 69086, 128253, 489, 2185, 128396, 130693, 129156, 61758, 128278, 59735, 128324, 29974, 129664, 129311, 128664, 128384, 13, 663, 309, 94995, 137384, 132856, 128272, 128331, 28776, 78228, 129023, 129773, 94576, 128304, 220, 21, 15, 128331, 128479, 128292, 11, 128292, 129972, 129144, 128607, 59735, 132034, 26, 78228, 132356, 128366, 72067, 64, 128292, 59735, 141004, 730, 98661, 128292, 47742, 128534, 128781, 128324, 29974, 47742, 78228, 128331, 128479, 128292, 128818, 59735, 128324, 29974, 13, 2014, 88602, 128366, 129784, 128361, 137384, 132856, 63478, 128336, 128283, 128411, 128607, 1527, 71, 2587, 126341, 128502, 128376, 128411, 128542, 92430, 132034, 19625, 72, 124382, 2600, 130224, 97832, 97483, 28776, 128254, 128424, 128884, 128292, 128553, 47742, 128266, 128289, 69086, 129991, 128331, 128664, 128384, 13, 22730, 137295, 128423, 128275, 128331, 2600, 128345, 11, 128250, 220, 21, 132122, 128978, 131912, 128425, 11, 69086, 128270, 28776, 128253, 129857, 128260, 62029, 128781, 97832, 128292, 481, 294, 57810, 128292, 2587, 128301, 481, 129991, 128331, 12, 50996, 37059, 135676, 128292, 26, 128853, 88057, 481, 62029, 128781, 62951, 47742, 28776, 129857, 128651, 128981, 63478, 131912, 128425, 128269, 128324, 29974, 128260, 72067, 64, 128292, 61758, 53037, 47742, 135343, 134902, 128267, 130925, 128740, 128418, 128498, 128451, 128362, 128531, 59735, 128324, 29974, 69086, 94995, 72, 130393, 128447, 13, 129393, 128292, 730, 22455, 45, 128521, 128685, 128267, 63478, 128943, 128855, 128273, 129054, 128761, 220, 21, 20, 4223, 128272, 730, 16739, 62029, 128781, 2162, 78, 134315, 444, 124904, 11, 128344, 69086, 220, 20, 128290, 128278, 128924, 128331, 126341, 128502, 137384, 132856, 69086, 138411, 97483, 141004, 730, 98661, 128292, 47742, 128534, 128781, 128324, 29974, 11, 220, 16, 23, 130597, 128494, 128324, 11, 356, 91012, 140288, 11, 128521, 128685, 13, 129393, 128292, 730, 22455, 45, 128521, 128685, 128845, 129203, 128575, 128263, 128290, 220, 17, 15, 17, 20, 12, 17, 15, 18, 15, 28776, 128387, 69086, 6909, 220, 17, 15, 15, 128479, 128292, 61758, 128278, 128314, 128449, 13, 133784, 131309, 23165, 2143, 137384, 128290, 128292, 128278, 128924, 59735, 129393, 128292, 730, 22455, 45, 128521, 128685, 11, 133761, 130390, 131943, 128984, 59123, 51054, 133404, 74542, 128491, 128275, 128331, 128943, 128855, 63478, 130179, 128338, 131912, 128425, 132310, 129643, 11, 128380, 128375, 2162, 78, 11, 136822, 128403, 137277, 521, 124760, 129181, 128275, 128331, 5279, 75076, 27021, 129156, 72067, 64, 128292, 29559, 27924, 128386, 13, 130232, 444, 85375, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42, 25214, 137384, 129393, 128292, 730, 22455, 45, 128521, 128685, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129393, 128292, 730, 98661, 128292, 47742, 128534, 128781, 320, 42, 22455, 45, 8, 128521, 128685, 11, 128331, 128479, 128292, 62029, 128980, 128664, 128384, 128278, 128924, 127980, 128978, 129854, 130726, 23165, 2143, 137384, 128290, 128292, 92105, 86139, 131149, 220, 22, 14, 16, 15, 624, 40225, 37059, 128292, 730, 22455, 45, 128521, 128685, 63478, 64061, 128980, 279, 78, 140923, 128333, 5492, 128675, 129181, 129591, 130388, 128324, 29974, 47742, 132034, 128300, 220, 16, 18, 14, 16, 16, 14, 17, 15, 15, 24, 47742, 3406, 88, 51580, 128333, 220, 17, 15, 21, 22, 45274, 40225, 9285, 51, 70, 59735, 130390, 131943, 129591, 130388, 13, 131431, 129393, 128292, 730, 22455, 45, 128521, 128685, 63478, 128333, 128846, 37915, 128331, 128479, 128292, 130693, 129156, 279, 78, 130179, 128338, 128924, 129263, 59735, 78228, 128479, 128292, 132034, 47742, 128249, 69086, 128253, 489, 2185, 128396, 130693, 129156, 61758, 128278, 59735, 128324, 29974, 129664, 129311, 128664, 128384, 13, 663, 309, 94995, 137384, 132856, 128272, 128331, 28776, 78228, 129023, 129773, 94576, 128304, 220, 21, 15, 128331, 128479, 128292, 11, 128292, 129972, 129144, 128607, 59735, 132034, 26, 78228, 132356, 128366, 72067, 64, 128292, 59735, 141004, 730, 98661, 128292, 47742, 128534, 128781, 128324, 29974, 47742, 78228, 128331, 128479, 128292, 128818, 59735, 128324, 29974, 13, 2014, 88602, 128366, 129784, 128361, 137384, 132856, 63478, 128336, 128283, 128411, 128607, 1527, 71, 2587, 126341, 128502, 128376, 128411, 128542, 92430, 132034, 19625, 72, 124382, 2600, 130224, 97832, 97483, 28776, 128254, 128424, 128884, 128292, 128553, 47742, 128266, 128289, 69086, 129991, 128331, 128664, 128384, 13, 22730, 137295, 128423, 128275, 128331, 2600, 128345, 11, 128250, 220, 21, 132122, 128978, 131912, 128425, 11, 69086, 128270, 28776, 128253, 129857, 128260, 62029, 128781, 97832, 128292, 481, 294, 57810, 128292, 2587, 128301, 481, 129991, 128331, 12, 50996, 37059, 135676, 128292, 26, 128853, 88057, 481, 62029, 128781, 62951, 47742, 28776, 129857, 128651, 128981, 63478, 131912, 128425, 128269, 128324, 29974, 128260, 72067, 64, 128292, 61758, 53037, 47742, 135343, 134902, 128267, 130925, 128740, 128418, 128498, 128451, 128362, 128531, 59735, 128324, 29974, 69086, 94995, 72, 130393, 128447, 13, 129393, 128292, 730, 22455, 45, 128521, 128685, 128267, 63478, 128943, 128855, 128273, 129054, 128761, 220, 21, 20, 4223, 128272, 730, 16739, 62029, 128781, 2162, 78, 134315, 444, 124904, 11, 128344, 69086, 220, 20, 128290, 128278, 128924, 128331, 126341, 128502, 137384, 132856, 69086, 138411, 97483, 141004, 730, 98661, 128292, 47742, 128534, 128781, 128324, 29974, 11, 220, 16, 23, 130597, 128494, 128324, 11, 356, 91012, 140288, 11, 128521, 128685, 13, 129393, 128292, 730, 22455, 45, 128521, 128685, 128845, 129203, 128575, 128263, 128290, 220, 17, 15, 17, 20, 12, 17, 15, 18, 15, 28776, 128387, 69086, 6909, 220, 17, 15, 15, 128479, 128292, 61758, 128278, 128314, 128449, 13, 133784, 131309, 23165, 2143, 137384, 128290, 128292, 128278, 128924, 59735, 129393, 128292, 730, 22455, 45, 128521, 128685, 11, 133761, 130390, 131943, 128984, 59123, 51054, 133404, 74542, 128491, 128275, 128331, 128943, 128855, 63478, 130179, 128338, 131912, 128425, 132310, 129643, 11, 128380, 128375, 2162, 78, 11, 136822, 128403, 137277, 521, 124760, 129181, 128275, 128331, 5279, 75076, 27021, 129156, 72067, 64, 128292, 29559, 27924, 128386, 13, 130232, 444, 85375, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519 ]
520
[ 45, 77354, 220, 17, 15, 16, 17, 128267, 28776, 128486, 128513, 129481, 128886, 126260, 128331, 128977, 72067, 11390, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133670, 220, 17, 15, 16, 17, 11, 129029, 134352, 128311, 128424, 128884, 128943, 128855, 78228, 128486, 128513, 270, 77689, 342, 125726, 128265, 128387, 128556, 128311, 128268, 128260, 78228, 128486, 128513, 128354, 129481, 128886, 126260, 128331, 128977, 72067, 11390, 624, 33, 37678, 129528, 138219, 136929, 21793, 25232, 25, 129029, 134352, 128311, 79126, 128643, 64061, 128401, 128366, 142303, 128595, 135578, 133795, 134383, 653, 27924, 128386, 128275, 128301, 481, 220, 126884, 16719, 910, 20868, 759, 84, 75157, 624, 20897, 53022, 220, 17, 19, 14, 16, 17, 11, 129029, 134352, 128311, 128311, 128482, 126341, 128502, 129935, 130097, 128826, 128309, 128336, 128283, 129414, 128367, 128556, 128311, 11, 131538, 95082, 129645, 128301, 131763, 129203, 128575, 19953, 125913, 128751, 326, 125252, 128362, 11, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 129551, 128417, 458, 97832, 128847, 128410, 128290, 220, 17, 15, 16, 16, 11, 129203, 128575, 11, 128486, 128513, 128336, 128283, 129414, 128367, 128556, 128311, 11, 131538, 95082, 129645, 128301, 128290, 220, 17, 15, 16, 17, 47742, 94995, 72, 130393, 128263, 128290, 220, 17, 15, 16, 20, 624, 33, 27021, 326, 39938, 129935, 130097, 11, 129029, 129528, 129029, 134352, 128311, 138219, 136929, 21793, 25232, 79126, 28776, 128564, 489, 3441, 128726, 128250, 128603, 128997, 128249, 65526, 128333, 128846, 59735, 129857, 134352, 128311, 624, 1001, 92358, 129029, 129528, 11, 128290, 220, 17, 15, 16, 17, 37915, 128290, 128553, 489, 2185, 128336, 128283, 128334, 128373, 128311, 95082, 128556, 128311, 128515, 139091, 279, 78, 128846, 137277, 521, 124760, 128260, 128490, 128271, 653, 27924, 128386, 128487, 128267, 129233, 128639, 130909, 128265, 130498, 5267, 33, 37678, 129528, 138219, 136929, 21793, 25232, 25, 129591, 130388, 79126, 128531, 23165, 2143, 128410, 130097, 128250, 78228, 129029, 11, 129857, 47742, 128704, 128675, 136732, 128333, 128290, 220, 17, 15, 16, 17, 11, 128424, 128884, 19953, 125913, 128751, 326, 125252, 128362, 11, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 129551, 128417, 458, 97832, 128847, 128410, 13, 129029, 134352, 128311, 293, 35234, 129261, 128336, 128283, 129203, 128575, 59735, 129591, 130388, 11, 69086, 293, 87939, 129111, 128314, 128449, 47742, 69086, 128301, 128639, 130909, 11, 128253, 137261, 128513, 128260, 128490, 37915, 128360, 128422, 11, 128608, 129623, 128289, 128334, 128373, 128311, 95082, 128556, 131774, 11, 128515, 139091, 137277, 521, 124760, 11, 128487, 128360, 78228, 128486, 128513, 270, 77689, 342, 125726, 348, 125097, 131880, 128639, 130909, 131763, 129664, 129203, 128575, 128529, 129528, 220, 21, 13384, 142665, 128450, 128418, 37915, 220, 21, 11, 20, 4, 624, 45, 77354, 220, 17, 15, 16, 17, 11, 129029, 134352, 128311, 128424, 128884, 128943, 128855, 78228, 128486, 128513, 270, 77689, 342, 125726, 128265, 128387, 128556, 128311, 11, 270, 309, 296, 125672, 78228, 137261, 128513, 143164, 11, 132382, 134375, 11, 128725, 69086, 130375, 3275, 133024, 128918, 59735, 129591, 130388, 128291, 128361, 129591, 130388, 11, 132629, 130375, 3275, 128291, 128267, 128361, 128494, 128410, 856, 336, 130985, 13, 129393, 129054, 73061, 8065, 29070, 13, 128521, 128685, 128268, 79126, 128935, 130097, 128265, 140694, 131531, 130483, 79126, 72, 2600, 653, 27924, 128386, 11, 129029, 134352, 128311, 128267, 130693, 129156, 856, 336, 130985, 135736, 86139, 128960, 128871, 128419, 128338, 11, 129481, 128886, 128282, 28776, 129203, 128575, 129705, 128254, 11, 129572, 128751, 128492, 129589, 128263, 19953, 125913, 128751, 326, 125252, 128362, 624, 53, 39938, 129270, 128356, 129738, 77374, 11, 129029, 134352, 128311, 128267, 128553, 489, 2185, 86139, 128580, 128456, 23165, 2143, 133457, 129738, 77374, 11, 129455, 130034, 77374, 134375, 129455, 128830, 128309, 53037, 98127, 69086, 78228, 653, 27924, 128386, 434, 17625, 126199, 128320, 128269, 129202, 125440, 78228, 128553, 129675, 595, 20868, 128384, 11, 129822, 62029, 13580, 128275, 128301, 624, 33, 37678, 134352, 128311, 128348, 128943, 128855, 128456, 128595, 129822, 128254, 131763, 129270, 128356, 137277, 521, 124760, 11, 129455, 130034, 77374, 134375, 69086, 132122, 128978, 139511, 62572, 135578, 128415, 624, 40225, 125438, 128846, 128334, 128373, 521, 2185, 128309, 125440, 128290, 220, 17, 15, 16, 17, 128314, 128352, 270, 92358, 129029, 129528, 5267, 33, 37678, 129528, 138219, 136929, 21793, 25232, 25, 135433, 128289, 128336, 128283, 129031, 135352, 128309, 126260, 128331, 11, 69086, 128290, 220, 17, 15, 16, 17, 128267, 139824, 132630, 128336, 128283, 11, 128281, 37915, 128421, 128250, 78228, 128387, 61758, 128484, 11, 1091, 11, 856, 58597, 131318, 13, 133670, 220, 17, 15, 16, 17, 128494, 128410, 128267, 856, 336, 130985, 92430, 73525, 136786, 131310, 11, 129029, 134352, 128311, 128268, 128267, 8943, 128373, 78228, 128683, 128450, 11, 130303, 128379, 11, 128846, 128653, 136786, 131310, 11, 128371, 128668, 131628, 128319, 78228, 129029, 11, 129857, 128542, 922, 276, 128643, 130509, 128322, 128751, 128334, 128373, 128265, 128484, 11, 856, 58597, 131318, 11, 78228, 126370, 128751, 128265, 128823, 133713, 128309, 11, 279, 78, 128846, 136786, 131310, 79126, 126370, 128333, 624, 53, 39938, 128334, 132314, 128309, 128484, 11, 9765, 39392, 128799, 279, 78, 130540, 128361, 11, 293, 14926, 14854, 125342, 63478, 25798, 128812, 11, 128994, 141581, 129831, 128319, 53037, 98127, 128421, 128250, 14892, 45, 126199, 128320, 79668, 77374, 130862, 78228, 128275, 128278, 128379, 128354, 11, 128378, 128283, 128272, 141580, 128451, 128265, 128484, 59735, 128347, 9450, 128323, 128465, 13, 133817, 128334, 132314, 128309, 128268, 128360, 73586, 136944, 128250, 128486, 128513, 129481, 128886, 2600, 128251, 138816, 11, 77374, 62572, 132058, 11, 130291, 125440, 77374, 62572, 489, 2185, 128823, 11, 128250, 128421, 129014, 96535, 11, 129240, 128529, 128309, 128267, 132058, 128304, 13, 129591, 130388, 128267, 856, 336, 130985, 128334, 132314, 128309, 96535, 128250, 129031, 135352, 128334, 132314, 898, 124477, 128375, 47742, 128327, 128406, 279, 78, 130540, 128361, 129831, 128319, 13, 135433, 128580, 128456, 96535, 11, 128296, 128456, 130097, 128603, 128997, 92430, 134601, 47742, 135593, 129045, 129315, 128250, 128427, 140996, 13, 84137, 129036, 128761, 59735, 356, 92704, 140428, 128356, 128309, 11, 128289, 128529, 128309, 128484, 128727, 73525, 128400, 128285, 128447, 86539, 128323, 128821, 11, 128347, 9450, 128360, 128329, 131678, 521, 685, 129958, 128250, 128275, 128301, 11, 131282, 128425, 128396, 128356, 330, 128294, 128301, 279, 78, 136733, 22956, 51, 4076, 128452, 11, 128268, 128360, 128498, 128451, 14892, 45, 128861, 128757, 25798, 128812, 78228, 23165, 124692, 11, 128757, 293, 132540, 128575, 305, 3441, 128484, 128365, 1112, 66, 88771, 128250, 128270, 37915, 128336, 128283, 129263, 128361, 39325, 124900, 130498, 128278, 128379, 128703, 129857, 79668, 128553, 489, 2185, 128362, 128531, 129857, 128484, 11, 128788, 128589, 128371, 128668, 128362, 128531, 128457, 128573, 141593, 128484, 11, 129551, 128417, 128329, 128366, 78228, 23165, 124692, 85636, 128415, 11, 272, 2185, 128740, 11, 129045, 130897, 128484, 63478, 92430, 134601, 624, 34, 29341, 137261, 128513, 1091, 71, 9586, 11, 129522, 9586, 128265, 128309, 37915, 128906, 128738, 128360, 128422, 13, 133670, 308, 352, 11, 129029, 134352, 128311, 128529, 132300, 78228, 128704, 129030, 128550, 128406, 128371, 128668, 37915, 136832, 130695, 128717, 47742, 136832, 132019, 14854, 11390, 128290, 308, 352, 128323, 128914, 20303, 2863, 13, 128678, 128322, 922, 276, 128260, 663, 27924, 9586, 129591, 130388, 11, 29458, 88488, 130051, 129645, 128301, 11, 129029, 134352, 128311, 128267, 131628, 128319, 1091, 71, 129522, 9586, 11, 129234, 137827, 128846, 128447, 78228, 128421, 129014, 28776, 128387, 61758, 128422, 129553, 128260, 128484, 11, 856, 58597, 131318, 45, 77354, 308, 352, 11, 29458, 88488, 130051, 129645, 128301, 128267, 129522, 130051, 128401, 129054, 11333, 1080, 318, 327, 13, 663, 27924, 9586, 129591, 130388, 128267, 1091, 71, 9586, 137408, 129675, 135601, 128599, 128324, 29974, 320, 46010, 45, 701, 128703, 15122, 11, 128267, 128553, 489, 2185, 1091, 71, 9586, 11, 129522, 9586, 78228, 128666, 128444, 128703, 129857, 128484, 11, 128627, 128484, 2600, 129857, 128484, 11, 1091, 128627, 2600, 128484, 11, 128273, 128322, 128760, 128270, 28776, 133954, 23686, 71, 129433, 129078, 128421, 128250, 128484, 128599, 11, 131763, 1308, 71, 293, 125202, 128459, 128361, 96535, 11, 129551, 128417, 2600, 128334, 128373, 128309, 59735, 129591, 130388, 279, 78, 129315, 128427, 140996, 79126, 348, 125202, 15122, 13, 134914, 128250, 129857, 1091, 128290, 220, 17, 15, 16, 17, 128267, 129234, 137827, 128334, 132314, 128411, 220, 23, 15, 4, 128309, 1091, 128415, 2600, 78228, 129857, 128354, 624, 55, 258, 129029, 129528, 2600, 128345, 129263, 128361, 128336, 128283, 78228, 142303, 128595, 135578, 133795, 134383, 59735, 129029, 134352, 128311, 69086, 128327, 342, 1103, 128447, 5267, 33, 37678, 129528, 138219, 136929, 21793, 25232, 25, 129496, 128580, 128456, 135578, 133795, 134383, 11, 128296, 2600, 128640, 128282, 135578, 133795, 134383, 220, 20, 132122, 128978, 126199, 129029, 134352, 128311, 28776, 128542, 922, 276, 37915, 25, 350, 124900, 133795, 134383, 128278, 128379, 62029, 26, 135578, 133795, 134383, 653, 27924, 128386, 11, 128788, 128589, 37915, 78228, 128553, 129675, 11, 129822, 62029, 13580, 128275, 128301, 26, 128457, 128573, 131538, 61758, 128560, 131537, 26, 126260, 128331, 128977, 72067, 11390, 11, 128417, 131491, 11, 130498, 26, 129742, 128340, 37915, 128529, 132300, 23165, 124692, 14854, 94313, 129108, 128265, 128377, 128427, 128556, 128311, 78228, 128666, 128444, 128277, 128386, 62029, 128980, 13, 129024, 53037, 128486, 128784, 128377, 128427, 128556, 128311, 128291, 128639, 28776, 129738, 128486, 128784, 128515, 135803, 624, 40225, 70248, 308, 352, 11, 129029, 134352, 128311, 79126, 128643, 64061, 128401, 128366, 142303, 128595, 135578, 133795, 134383, 653, 27924, 128386, 128275, 128301, 11, 79126, 128643, 64061, 129483, 128431, 128935, 129591, 130388, 128568, 129742, 128371, 94994, 128361, 15122, 22730, 132677, 128373, 1163, 2185, 220, 85375, 47742, 129029, 129591, 128466, 128784, 128333, 624, 53, 39938, 132122, 128978, 128977, 72067, 11390, 11, 128296, 79126, 98127, 128854, 142394, 8943, 128977, 72067, 11390, 320, 4493, 3021, 8, 62029, 128888, 128486, 128513, 134780, 129572, 47742, 129121, 129572, 2600, 126260, 128331, 128977, 72067, 11390, 13, 328, 125342, 128447, 128289, 129057, 128463, 128585, 422, 9745, 45, 128267, 128424, 128884, 63478, 132668, 128818, 11, 128788, 128589, 128250, 78228, 60656, 128465, 128291, 128380, 128375, 61758, 128585, 128273, 126260, 128331, 128977, 72067, 11390, 128267, 2162, 78, 128304, 13, 130676, 15122, 11, 129029, 134352, 128311, 128268, 128348, 128943, 128855, 142303, 128595, 128265, 128278, 128379, 13535, 11390, 128424, 11, 130693, 129156, 128529, 132300, 128439, 128573, 128281, 126260, 128331, 11, 129481, 128886, 92430, 24790, 11, 128334, 128373, 126260, 128331, 128977, 72067, 11390, 279, 78, 92430, 130554, 128664, 128384, 13, 129718, 24790, 128640, 94994, 595, 20868, 128384, 348, 124536, 130179, 128418, 128350, 47742, 128486, 128513, 2600, 126260, 128331, 128977, 72067, 11390, 63478, 128336, 61328, 128291, 126260, 128331, 128977, 72067, 11390, 128267, 132629, 73525, 128639, 130909, 47742, 128424, 128884, 128904, 130344, 11, 128362, 128531, 69086, 128290, 220, 17, 15, 16, 17, 624, 40225, 57810, 128345, 138737, 61758, 129645, 128301, 79126, 128439, 130051, 130042, 129481, 128886, 129913, 128284, 126260, 128331, 128977, 72067, 11390, 69086, 293, 87939, 129111, 128283, 128272, 11, 129029, 134352, 128311, 47742, 138737, 61758, 129645, 128301, 79126, 28776, 128277, 131628, 128319, 128260, 128314, 128352, 5267, 33, 37678, 129528, 138219, 136929, 21793, 25232, 549, 129029, 134352, 128311, 28776, 128683, 128450, 128603, 129410, 129822, 128254, 128265, 126260, 128331, 128977, 72067, 11390, 47742, 128249, 65526, 128486, 128513, 129822, 128254, 133600, 132668, 126260, 128331, 128361, 129591, 130388, 11, 69086, 128270, 28776, 128580, 128456, 131628, 128319, 129857, 134352, 128311, 47742, 138737, 61758, 129645, 128301, 69086, 129270, 128356, 47742, 133600, 132668, 126260, 128331, 128977, 72067, 11390, 624, 1282, 39392, 128550, 128467, 133170, 129029, 129528, 4894, 39, 4076, 663, 124933, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 45, 77354, 220, 17, 15, 16, 17, 128267, 28776, 128486, 128513, 129481, 128886, 126260, 128331, 128977, 72067, 11390, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133670, 220, 17, 15, 16, 17, 11, 129029, 134352, 128311, 128424, 128884, 128943, 128855, 78228, 128486, 128513, 270, 77689, 342, 125726, 128265, 128387, 128556, 128311, 128268, 128260, 78228, 128486, 128513, 128354, 129481, 128886, 126260, 128331, 128977, 72067, 11390, 624, 33, 37678, 129528, 138219, 136929, 21793, 25232, 25, 129029, 134352, 128311, 79126, 128643, 64061, 128401, 128366, 142303, 128595, 135578, 133795, 134383, 653, 27924, 128386, 128275, 128301, 481, 220, 126884, 16719, 910, 20868, 759, 84, 75157, 624, 20897, 53022, 220, 17, 19, 14, 16, 17, 11, 129029, 134352, 128311, 128311, 128482, 126341, 128502, 129935, 130097, 128826, 128309, 128336, 128283, 129414, 128367, 128556, 128311, 11, 131538, 95082, 129645, 128301, 131763, 129203, 128575, 19953, 125913, 128751, 326, 125252, 128362, 11, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 129551, 128417, 458, 97832, 128847, 128410, 128290, 220, 17, 15, 16, 16, 11, 129203, 128575, 11, 128486, 128513, 128336, 128283, 129414, 128367, 128556, 128311, 11, 131538, 95082, 129645, 128301, 128290, 220, 17, 15, 16, 17, 47742, 94995, 72, 130393, 128263, 128290, 220, 17, 15, 16, 20, 624, 33, 27021, 326, 39938, 129935, 130097, 11, 129029, 129528, 129029, 134352, 128311, 138219, 136929, 21793, 25232, 79126, 28776, 128564, 489, 3441, 128726, 128250, 128603, 128997, 128249, 65526, 128333, 128846, 59735, 129857, 134352, 128311, 624, 1001, 92358, 129029, 129528, 11, 128290, 220, 17, 15, 16, 17, 37915, 128290, 128553, 489, 2185, 128336, 128283, 128334, 128373, 128311, 95082, 128556, 128311, 128515, 139091, 279, 78, 128846, 137277, 521, 124760, 128260, 128490, 128271, 653, 27924, 128386, 128487, 128267, 129233, 128639, 130909, 128265, 130498, 5267, 33, 37678, 129528, 138219, 136929, 21793, 25232, 25, 129591, 130388, 79126, 128531, 23165, 2143, 128410, 130097, 128250, 78228, 129029, 11, 129857, 47742, 128704, 128675, 136732, 128333, 128290, 220, 17, 15, 16, 17, 11, 128424, 128884, 19953, 125913, 128751, 326, 125252, 128362, 11, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 129551, 128417, 458, 97832, 128847, 128410, 13, 129029, 134352, 128311, 293, 35234, 129261, 128336, 128283, 129203, 128575, 59735, 129591, 130388, 11, 69086, 293, 87939, 129111, 128314, 128449, 47742, 69086, 128301, 128639, 130909, 11, 128253, 137261, 128513, 128260, 128490, 37915, 128360, 128422, 11, 128608, 129623, 128289, 128334, 128373, 128311, 95082, 128556, 131774, 11, 128515, 139091, 137277, 521, 124760, 11, 128487, 128360, 78228, 128486, 128513, 270, 77689, 342, 125726, 348, 125097, 131880, 128639, 130909, 131763, 129664, 129203, 128575, 128529, 129528, 220, 21, 13384, 142665, 128450, 128418, 37915, 220, 21, 11, 20, 4, 624, 45, 77354, 220, 17, 15, 16, 17, 11, 129029, 134352, 128311, 128424, 128884, 128943, 128855, 78228, 128486, 128513, 270, 77689, 342, 125726, 128265, 128387, 128556, 128311, 11, 270, 309, 296, 125672, 78228, 137261, 128513, 143164, 11, 132382, 134375, 11, 128725, 69086, 130375, 3275, 133024, 128918, 59735, 129591, 130388, 128291, 128361, 129591, 130388, 11, 132629, 130375, 3275, 128291, 128267, 128361, 128494, 128410, 856, 336, 130985, 13, 129393, 129054, 73061, 8065, 29070, 13, 128521, 128685, 128268, 79126, 128935, 130097, 128265, 140694, 131531, 130483, 79126, 72, 2600, 653, 27924, 128386, 11, 129029, 134352, 128311, 128267, 130693, 129156, 856, 336, 130985, 135736, 86139, 128960, 128871, 128419, 128338, 11, 129481, 128886, 128282, 28776, 129203, 128575, 129705, 128254, 11, 129572, 128751, 128492, 129589, 128263, 19953, 125913, 128751, 326, 125252, 128362, 624, 53, 39938, 129270, 128356, 129738, 77374, 11, 129029, 134352, 128311, 128267, 128553, 489, 2185, 86139, 128580, 128456, 23165, 2143, 133457, 129738, 77374, 11, 129455, 130034, 77374, 134375, 129455, 128830, 128309, 53037, 98127, 69086, 78228, 653, 27924, 128386, 434, 17625, 126199, 128320, 128269, 129202, 125440, 78228, 128553, 129675, 595, 20868, 128384, 11, 129822, 62029, 13580, 128275, 128301, 624, 33, 37678, 134352, 128311, 128348, 128943, 128855, 128456, 128595, 129822, 128254, 131763, 129270, 128356, 137277, 521, 124760, 11, 129455, 130034, 77374, 134375, 69086, 132122, 128978, 139511, 62572, 135578, 128415, 624, 40225, 125438, 128846, 128334, 128373, 521, 2185, 128309, 125440, 128290, 220, 17, 15, 16, 17, 128314, 128352, 270, 92358, 129029, 129528, 5267, 33, 37678, 129528, 138219, 136929, 21793, 25232, 25, 135433, 128289, 128336, 128283, 129031, 135352, 128309, 126260, 128331, 11, 69086, 128290, 220, 17, 15, 16, 17, 128267, 139824, 132630, 128336, 128283, 11, 128281, 37915, 128421, 128250, 78228, 128387, 61758, 128484, 11, 1091, 11, 856, 58597, 131318, 13, 133670, 220, 17, 15, 16, 17, 128494, 128410, 128267, 856, 336, 130985, 92430, 73525, 136786, 131310, 11, 129029, 134352, 128311, 128268, 128267, 8943, 128373, 78228, 128683, 128450, 11, 130303, 128379, 11, 128846, 128653, 136786, 131310, 11, 128371, 128668, 131628, 128319, 78228, 129029, 11, 129857, 128542, 922, 276, 128643, 130509, 128322, 128751, 128334, 128373, 128265, 128484, 11, 856, 58597, 131318, 11, 78228, 126370, 128751, 128265, 128823, 133713, 128309, 11, 279, 78, 128846, 136786, 131310, 79126, 126370, 128333, 624, 53, 39938, 128334, 132314, 128309, 128484, 11, 9765, 39392, 128799, 279, 78, 130540, 128361, 11, 293, 14926, 14854, 125342, 63478, 25798, 128812, 11, 128994, 141581, 129831, 128319, 53037, 98127, 128421, 128250, 14892, 45, 126199, 128320, 79668, 77374, 130862, 78228, 128275, 128278, 128379, 128354, 11, 128378, 128283, 128272, 141580, 128451, 128265, 128484, 59735, 128347, 9450, 128323, 128465, 13, 133817, 128334, 132314, 128309, 128268, 128360, 73586, 136944, 128250, 128486, 128513, 129481, 128886, 2600, 128251, 138816, 11, 77374, 62572, 132058, 11, 130291, 125440, 77374, 62572, 489, 2185, 128823, 11, 128250, 128421, 129014, 96535, 11, 129240, 128529, 128309, 128267, 132058, 128304, 13, 129591, 130388, 128267, 856, 336, 130985, 128334, 132314, 128309, 96535, 128250, 129031, 135352, 128334, 132314, 898, 124477, 128375, 47742, 128327, 128406, 279, 78, 130540, 128361, 129831, 128319, 13, 135433, 128580, 128456, 96535, 11, 128296, 128456, 130097, 128603, 128997, 92430, 134601, 47742, 135593, 129045, 129315, 128250, 128427, 140996, 13, 84137, 129036, 128761, 59735, 356, 92704, 140428, 128356, 128309, 11, 128289, 128529, 128309, 128484, 128727, 73525, 128400, 128285, 128447, 86539, 128323, 128821, 11, 128347, 9450, 128360, 128329, 131678, 521, 685, 129958, 128250, 128275, 128301, 11, 131282, 128425, 128396, 128356, 330, 128294, 128301, 279, 78, 136733, 22956, 51, 4076, 128452, 11, 128268, 128360, 128498, 128451, 14892, 45, 128861, 128757, 25798, 128812, 78228, 23165, 124692, 11, 128757, 293, 132540, 128575, 305, 3441, 128484, 128365, 1112, 66, 88771, 128250, 128270, 37915, 128336, 128283, 129263, 128361, 39325, 124900, 130498, 128278, 128379, 128703, 129857, 79668, 128553, 489, 2185, 128362, 128531, 129857, 128484, 11, 128788, 128589, 128371, 128668, 128362, 128531, 128457, 128573, 141593, 128484, 11, 129551, 128417, 128329, 128366, 78228, 23165, 124692, 85636, 128415, 11, 272, 2185, 128740, 11, 129045, 130897, 128484, 63478, 92430, 134601, 624, 34, 29341, 137261, 128513, 1091, 71, 9586, 11, 129522, 9586, 128265, 128309, 37915, 128906, 128738, 128360, 128422, 13, 133670, 308, 352, 11, 129029, 134352, 128311, 128529, 132300, 78228, 128704, 129030, 128550, 128406, 128371, 128668, 37915, 136832, 130695, 128717, 47742, 136832, 132019, 14854, 11390, 128290, 308, 352, 128323, 128914, 20303, 2863, 13, 128678, 128322, 922, 276, 128260, 663, 27924, 9586, 129591, 130388, 11, 29458, 88488, 130051, 129645, 128301, 11, 129029, 134352, 128311, 128267, 131628, 128319, 1091, 71, 129522, 9586, 11, 129234, 137827, 128846, 128447, 78228, 128421, 129014, 28776, 128387, 61758, 128422, 129553, 128260, 128484, 11, 856, 58597, 131318, 45, 77354, 308, 352, 11, 29458, 88488, 130051, 129645, 128301, 128267, 129522, 130051, 128401, 129054, 11333, 1080, 318, 327, 13, 663, 27924, 9586, 129591, 130388, 128267, 1091, 71, 9586, 137408, 129675, 135601, 128599, 128324, 29974, 320, 46010, 45, 701, 128703, 15122, 11, 128267, 128553, 489, 2185, 1091, 71, 9586, 11, 129522, 9586, 78228, 128666, 128444, 128703, 129857, 128484, 11, 128627, 128484, 2600, 129857, 128484, 11, 1091, 128627, 2600, 128484, 11, 128273, 128322, 128760, 128270, 28776, 133954, 23686, 71, 129433, 129078, 128421, 128250, 128484, 128599, 11, 131763, 1308, 71, 293, 125202, 128459, 128361, 96535, 11, 129551, 128417, 2600, 128334, 128373, 128309, 59735, 129591, 130388, 279, 78, 129315, 128427, 140996, 79126, 348, 125202, 15122, 13, 134914, 128250, 129857, 1091, 128290, 220, 17, 15, 16, 17, 128267, 129234, 137827, 128334, 132314, 128411, 220, 23, 15, 4, 128309, 1091, 128415, 2600, 78228, 129857, 128354, 624, 55, 258, 129029, 129528, 2600, 128345, 129263, 128361, 128336, 128283, 78228, 142303, 128595, 135578, 133795, 134383, 59735, 129029, 134352, 128311, 69086, 128327, 342, 1103, 128447, 5267, 33, 37678, 129528, 138219, 136929, 21793, 25232, 25, 129496, 128580, 128456, 135578, 133795, 134383, 11, 128296, 2600, 128640, 128282, 135578, 133795, 134383, 220, 20, 132122, 128978, 126199, 129029, 134352, 128311, 28776, 128542, 922, 276, 37915, 25, 350, 124900, 133795, 134383, 128278, 128379, 62029, 26, 135578, 133795, 134383, 653, 27924, 128386, 11, 128788, 128589, 37915, 78228, 128553, 129675, 11, 129822, 62029, 13580, 128275, 128301, 26, 128457, 128573, 131538, 61758, 128560, 131537, 26, 126260, 128331, 128977, 72067, 11390, 11, 128417, 131491, 11, 130498, 26, 129742, 128340, 37915, 128529, 132300, 23165, 124692, 14854, 94313, 129108, 128265, 128377, 128427, 128556, 128311, 78228, 128666, 128444, 128277, 128386, 62029, 128980, 13, 129024, 53037, 128486, 128784, 128377, 128427, 128556, 128311, 128291, 128639, 28776, 129738, 128486, 128784, 128515, 135803, 624, 40225, 70248, 308, 352, 11, 129029, 134352, 128311, 79126, 128643, 64061, 128401, 128366, 142303, 128595, 135578, 133795, 134383, 653, 27924, 128386, 128275, 128301, 11, 79126, 128643, 64061, 129483, 128431, 128935, 129591, 130388, 128568, 129742, 128371, 94994, 128361, 15122, 22730, 132677, 128373, 1163, 2185, 220, 85375, 47742, 129029, 129591, 128466, 128784, 128333, 624, 53, 39938, 132122, 128978, 128977, 72067, 11390, 11, 128296, 79126, 98127, 128854, 142394, 8943, 128977, 72067, 11390, 320, 4493, 3021, 8, 62029, 128888, 128486, 128513, 134780, 129572, 47742, 129121, 129572, 2600, 126260, 128331, 128977, 72067, 11390, 13, 328, 125342, 128447, 128289, 129057, 128463, 128585, 422, 9745, 45, 128267, 128424, 128884, 63478, 132668, 128818, 11, 128788, 128589, 128250, 78228, 60656, 128465, 128291, 128380, 128375, 61758, 128585, 128273, 126260, 128331, 128977, 72067, 11390, 128267, 2162, 78, 128304, 13, 130676, 15122, 11, 129029, 134352, 128311, 128268, 128348, 128943, 128855, 142303, 128595, 128265, 128278, 128379, 13535, 11390, 128424, 11, 130693, 129156, 128529, 132300, 128439, 128573, 128281, 126260, 128331, 11, 129481, 128886, 92430, 24790, 11, 128334, 128373, 126260, 128331, 128977, 72067, 11390, 279, 78, 92430, 130554, 128664, 128384, 13, 129718, 24790, 128640, 94994, 595, 20868, 128384, 348, 124536, 130179, 128418, 128350, 47742, 128486, 128513, 2600, 126260, 128331, 128977, 72067, 11390, 63478, 128336, 61328, 128291, 126260, 128331, 128977, 72067, 11390, 128267, 132629, 73525, 128639, 130909, 47742, 128424, 128884, 128904, 130344, 11, 128362, 128531, 69086, 128290, 220, 17, 15, 16, 17, 624, 40225, 57810, 128345, 138737, 61758, 129645, 128301, 79126, 128439, 130051, 130042, 129481, 128886, 129913, 128284, 126260, 128331, 128977, 72067, 11390, 69086, 293, 87939, 129111, 128283, 128272, 11, 129029, 134352, 128311, 47742, 138737, 61758, 129645, 128301, 79126, 28776, 128277, 131628, 128319, 128260, 128314, 128352, 5267, 33, 37678, 129528, 138219, 136929, 21793, 25232, 549, 129029, 134352, 128311, 28776, 128683, 128450, 128603, 129410, 129822, 128254, 128265, 126260, 128331, 128977, 72067, 11390, 47742, 128249, 65526, 128486, 128513, 129822, 128254, 133600, 132668, 126260, 128331, 128361, 129591, 130388, 11, 69086, 128270, 28776, 128580, 128456, 131628, 128319, 129857, 134352, 128311, 47742, 138737, 61758, 129645, 128301, 69086, 129270, 128356, 47742, 133600, 132668, 126260, 128331, 128977, 72067, 11390, 624, 1282, 39392, 128550, 128467, 133170, 129029, 129528, 4894, 39, 4076, 663, 124933, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790 ]
1,791
[ 53, 352, 130498, 129913, 128284, 128278, 128379, 128282, 28776, 129597, 141700, 220, 17, 15, 4, 130498, 128427, 128760, 129347, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130526, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 59735, 129645, 128301, 11, 128427, 128278, 128379, 128282, 28776, 129597, 141700, 220, 17, 15, 4, 130498, 128427, 128760, 129347, 270, 309, 94995, 126258, 128595, 47742, 128282, 128417, 129551, 129078, 129738, 130498, 79668, 128336, 128283, 126258, 128595, 624, 40225, 124317, 37915, 128249, 69086, 128253, 126370, 128333, 92105, 63478, 130623, 39339, 86139, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128265, 129913, 128284, 128278, 128379, 47742, 129913, 128284, 128415, 97610, 59735, 129645, 128301, 13, 141127, 128333, 96535, 28776, 128423, 128599, 61328, 128373, 94576, 128300, 220, 17, 15, 14, 16, 15, 14, 17, 15, 16, 16, 11, 270, 352, 128314, 141127, 128333, 220, 16, 20, 16, 14, 17, 15, 15, 21, 20290, 40225, 12, 7123, 47742, 141127, 128333, 220, 16, 15, 21, 14, 17, 15, 15, 23, 20290, 40225, 12, 7123, 13, 141127, 128333, 92105, 308, 124634, 129398, 11, 128421, 129014, 2600, 348, 352, 37915, 128427, 128278, 128379, 28776, 126258, 128595, 128278, 128379, 129281, 11563, 71, 129203, 78228, 126258, 128595, 348, 352, 130498, 129913, 128284, 128278, 128379, 320, 6850, 128373, 136944, 279, 78, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 568, 130526, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 59735, 129645, 128301, 11, 128427, 128278, 128379, 128339, 128273, 128282, 28776, 126258, 128595, 11, 128675, 128595, 85636, 128415, 11, 595, 20868, 653, 27924, 11, 28776, 128423, 128432, 11, 128417, 129551, 129477, 63478, 138178, 26, 63478, 138737, 61758, 135322, 128531, 128324, 29974, 320, 51271, 2828, 71961, 8, 133024, 128333, 128675, 128595, 128556, 128311, 11, 128675, 128595, 129477, 138178, 47742, 132677, 131678, 2600, 348, 352, 26, 128336, 128283, 128417, 129551, 128515, 348, 352, 47742, 128282, 296, 4284, 128417, 131491, 128556, 85636, 128272, 128249, 62029, 13580, 128417, 131491, 128623, 128285, 128319, 128513, 128272, 128324, 29974, 128421, 128250, 128556, 85636, 128338, 64061, 94576, 130498, 348, 352, 129281, 128421, 129014, 296, 4284, 128417, 131491, 128802, 135571, 69086, 134601, 128327, 129572, 348, 352, 130498, 1112, 135359, 128589, 11, 128427, 128278, 128379, 128282, 28776, 129597, 141700, 220, 17, 15, 4, 130498, 128427, 128760, 129347, 270, 309, 94995, 126258, 128595, 47742, 128282, 128417, 129551, 129078, 129738, 130498, 79668, 128336, 128283, 126258, 128595, 11, 78228, 128334, 129065, 128556, 128311, 129705, 128254, 59735, 128463, 130498, 128278, 128379, 128703, 128463, 130498, 348, 352, 129913, 128284, 128278, 128379, 59735, 129645, 128301, 13, 130244, 37915, 126370, 128333, 92105, 63478, 130623, 39339, 131763, 130314, 2162, 78, 131368, 129414, 305, 4076, 128285, 130498, 59735, 653, 27924, 128386, 128336, 128283, 126258, 128595, 92430, 73525, 78228, 128338, 128482, 128362, 128373, 130641, 137535, 11, 305, 4076, 128285, 128354, 11, 92430, 73525, 128270, 128757, 293, 132540, 435, 42504, 72, 926, 2600, 78228, 128608, 13, 129005, 128334, 129065, 2600, 348, 352, 128354, 128268, 92105, 63478, 130623, 39339, 37915, 128427, 128278, 128379, 128282, 128336, 128283, 128751, 128368, 305, 125202, 130051, 128495, 130051, 11, 128603, 129410, 128556, 128311, 279, 78, 126370, 128333, 59735, 128513, 129963, 26, 128603, 129410, 128556, 128311, 61758, 128290, 128282, 63478, 129522, 130051, 128944, 128322, 922, 276, 129522, 130051, 129703, 128980, 13, 386, 94963, 130498, 2600, 348, 352, 129597, 128907, 84137, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128291, 129240, 130498, 2600, 348, 352, 129597, 128907, 128421, 128250, 129058, 126258, 128595, 128487, 63478, 129566, 129031, 128260, 126370, 128333, 128272, 141127, 128333, 220, 16, 20, 16, 14, 17, 15, 15, 21, 20290, 40225, 12, 7123, 37915, 128411, 220, 22, 15, 4, 129822, 129240, 130498, 128278, 128379, 59735, 126258, 128595, 320, 30664, 24015, 293, 3441, 130068, 130498, 129480, 128285, 568, 350, 4076, 128452, 11, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128268, 130623, 39339, 128622, 126370, 128333, 25, 129240, 130498, 2600, 348, 352, 129597, 128907, 128421, 128250, 129058, 128427, 128278, 128379, 53037, 63478, 132629, 128459, 220, 16, 20, 4, 130498, 128334, 130554, 128336, 28776, 59735, 34831, 2828, 71961, 13, 133827, 294, 124536, 28776, 126370, 128333, 96535, 128378, 279, 78, 129029, 134352, 128311, 11, 129363, 128365, 129738, 130498, 59735, 34831, 2828, 71961, 128320, 129572, 140242, 79, 26, 128608, 129623, 128270, 11, 78228, 128427, 128278, 128379, 128268, 128360, 305, 4076, 128285, 128622, 78228, 129738, 130498, 128354, 79668, 128336, 128283, 126258, 128595, 320, 85, 125044, 348, 352, 131538, 61758, 128560, 131537, 11, 128362, 128373, 130641, 137535, 701, 53037, 128317, 128459, 140494, 133459, 86139, 129738, 130498, 129913, 128284, 59735, 34831, 2828, 71961, 11, 128653, 128263, 128277, 220, 127316, 85852, 47742, 53037, 135984, 23165, 125531, 78228, 126258, 128595, 28776, 128380, 128375, 128418, 11, 128623, 128285, 279, 78, 129031, 135352, 595, 20868, 128384, 126260, 128331, 13, 135433, 128327, 129572, 2600, 348, 352, 11, 141127, 128333, 308, 124634, 129398, 37915, 129207, 128333, 279, 78, 129363, 128365, 77374, 130344, 130498, 59735, 126258, 128595, 47742, 129363, 128365, 129477, 138178, 59735, 128427, 128278, 128379, 129831, 128319, 128250, 128788, 128406, 85636, 128415, 11, 595, 20868, 653, 27924, 59735, 126258, 128595, 128344, 53037, 128459, 220, 16, 17, 128290, 13, 444, 126175, 131531, 2600, 348, 352, 129831, 128319, 128250, 129031, 135352, 126260, 128331, 84137, 126370, 128333, 128272, 141127, 128333, 220, 16, 15, 21, 14, 17, 15, 15, 23, 20290, 40225, 12, 7123, 128371, 128358, 11, 140694, 131531, 348, 352, 130498, 128278, 128379, 128411, 128329, 128324, 29974, 128411, 140694, 131531, 130641, 137535, 129591, 130388, 128880, 129572, 220, 20, 128290, 130700, 220, 16, 53381, 77, 77354, 13, 129840, 79668, 129551, 128417, 128439, 9805, 71, 128623, 69086, 128334, 128373, 140694, 131531, 129913, 128284, 128278, 128379, 11, 128430, 34831, 2828, 71961, 129263, 128447, 128377, 128427, 47742, 130660, 128411, 128265, 128556, 128311, 11, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 79126, 28776, 126370, 128333, 92105, 25, 444, 126175, 131531, 2600, 348, 352, 128278, 128379, 53037, 132058, 128304, 140694, 131531, 128823, 129866, 78228, 129738, 130498, 130700, 128250, 128812, 128623, 128285, 59735, 34831, 2828, 71961, 13, 130017, 137295, 133796, 34831, 2828, 71961, 128439, 130051, 129240, 140694, 131531, 128823, 129866, 78228, 129738, 130498, 47742, 25798, 128812, 128623, 128285, 128603, 129410, 130085, 131443, 129935, 128329, 129270, 128356, 34831, 2828, 71961, 128361, 129029, 134352, 128311, 62029, 128888, 140694, 131531, 2600, 348, 352, 129913, 128284, 128278, 128379, 13, 131431, 128319, 140694, 131531, 305, 4076, 128285, 128823, 129866, 28776, 128871, 128285, 128465, 11, 130085, 131443, 129935, 128329, 129270, 128356, 34831, 2828, 71961, 128603, 129410, 129029, 134352, 128311, 128334, 132314, 140694, 131531, 2600, 129831, 128319, 13, 140593, 20165, 524, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 53, 352, 130498, 129913, 128284, 128278, 128379, 128282, 28776, 129597, 141700, 220, 17, 15, 4, 130498, 128427, 128760, 129347, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130526, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 59735, 129645, 128301, 11, 128427, 128278, 128379, 128282, 28776, 129597, 141700, 220, 17, 15, 4, 130498, 128427, 128760, 129347, 270, 309, 94995, 126258, 128595, 47742, 128282, 128417, 129551, 129078, 129738, 130498, 79668, 128336, 128283, 126258, 128595, 624, 40225, 124317, 37915, 128249, 69086, 128253, 126370, 128333, 92105, 63478, 130623, 39339, 86139, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128265, 129913, 128284, 128278, 128379, 47742, 129913, 128284, 128415, 97610, 59735, 129645, 128301, 13, 141127, 128333, 96535, 28776, 128423, 128599, 61328, 128373, 94576, 128300, 220, 17, 15, 14, 16, 15, 14, 17, 15, 16, 16, 11, 270, 352, 128314, 141127, 128333, 220, 16, 20, 16, 14, 17, 15, 15, 21, 20290, 40225, 12, 7123, 47742, 141127, 128333, 220, 16, 15, 21, 14, 17, 15, 15, 23, 20290, 40225, 12, 7123, 13, 141127, 128333, 92105, 308, 124634, 129398, 11, 128421, 129014, 2600, 348, 352, 37915, 128427, 128278, 128379, 28776, 126258, 128595, 128278, 128379, 129281, 11563, 71, 129203, 78228, 126258, 128595, 348, 352, 130498, 129913, 128284, 128278, 128379, 320, 6850, 128373, 136944, 279, 78, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 568, 130526, 63478, 348, 352, 130498, 129913, 128284, 128278, 128379, 59735, 129645, 128301, 11, 128427, 128278, 128379, 128339, 128273, 128282, 28776, 126258, 128595, 11, 128675, 128595, 85636, 128415, 11, 595, 20868, 653, 27924, 11, 28776, 128423, 128432, 11, 128417, 129551, 129477, 63478, 138178, 26, 63478, 138737, 61758, 135322, 128531, 128324, 29974, 320, 51271, 2828, 71961, 8, 133024, 128333, 128675, 128595, 128556, 128311, 11, 128675, 128595, 129477, 138178, 47742, 132677, 131678, 2600, 348, 352, 26, 128336, 128283, 128417, 129551, 128515, 348, 352, 47742, 128282, 296, 4284, 128417, 131491, 128556, 85636, 128272, 128249, 62029, 13580, 128417, 131491, 128623, 128285, 128319, 128513, 128272, 128324, 29974, 128421, 128250, 128556, 85636, 128338, 64061, 94576, 130498, 348, 352, 129281, 128421, 129014, 296, 4284, 128417, 131491, 128802, 135571, 69086, 134601, 128327, 129572, 348, 352, 130498, 1112, 135359, 128589, 11, 128427, 128278, 128379, 128282, 28776, 129597, 141700, 220, 17, 15, 4, 130498, 128427, 128760, 129347, 270, 309, 94995, 126258, 128595, 47742, 128282, 128417, 129551, 129078, 129738, 130498, 79668, 128336, 128283, 126258, 128595, 11, 78228, 128334, 129065, 128556, 128311, 129705, 128254, 59735, 128463, 130498, 128278, 128379, 128703, 128463, 130498, 348, 352, 129913, 128284, 128278, 128379, 59735, 129645, 128301, 13, 130244, 37915, 126370, 128333, 92105, 63478, 130623, 39339, 131763, 130314, 2162, 78, 131368, 129414, 305, 4076, 128285, 130498, 59735, 653, 27924, 128386, 128336, 128283, 126258, 128595, 92430, 73525, 78228, 128338, 128482, 128362, 128373, 130641, 137535, 11, 305, 4076, 128285, 128354, 11, 92430, 73525, 128270, 128757, 293, 132540, 435, 42504, 72, 926, 2600, 78228, 128608, 13, 129005, 128334, 129065, 2600, 348, 352, 128354, 128268, 92105, 63478, 130623, 39339, 37915, 128427, 128278, 128379, 128282, 128336, 128283, 128751, 128368, 305, 125202, 130051, 128495, 130051, 11, 128603, 129410, 128556, 128311, 279, 78, 126370, 128333, 59735, 128513, 129963, 26, 128603, 129410, 128556, 128311, 61758, 128290, 128282, 63478, 129522, 130051, 128944, 128322, 922, 276, 129522, 130051, 129703, 128980, 13, 386, 94963, 130498, 2600, 348, 352, 129597, 128907, 84137, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128291, 129240, 130498, 2600, 348, 352, 129597, 128907, 128421, 128250, 129058, 126258, 128595, 128487, 63478, 129566, 129031, 128260, 126370, 128333, 128272, 141127, 128333, 220, 16, 20, 16, 14, 17, 15, 15, 21, 20290, 40225, 12, 7123, 37915, 128411, 220, 22, 15, 4, 129822, 129240, 130498, 128278, 128379, 59735, 126258, 128595, 320, 30664, 24015, 293, 3441, 130068, 130498, 129480, 128285, 568, 350, 4076, 128452, 11, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128268, 130623, 39339, 128622, 126370, 128333, 25, 129240, 130498, 2600, 348, 352, 129597, 128907, 128421, 128250, 129058, 128427, 128278, 128379, 53037, 63478, 132629, 128459, 220, 16, 20, 4, 130498, 128334, 130554, 128336, 28776, 59735, 34831, 2828, 71961, 13, 133827, 294, 124536, 28776, 126370, 128333, 96535, 128378, 279, 78, 129029, 134352, 128311, 11, 129363, 128365, 129738, 130498, 59735, 34831, 2828, 71961, 128320, 129572, 140242, 79, 26, 128608, 129623, 128270, 11, 78228, 128427, 128278, 128379, 128268, 128360, 305, 4076, 128285, 128622, 78228, 129738, 130498, 128354, 79668, 128336, 128283, 126258, 128595, 320, 85, 125044, 348, 352, 131538, 61758, 128560, 131537, 11, 128362, 128373, 130641, 137535, 701, 53037, 128317, 128459, 140494, 133459, 86139, 129738, 130498, 129913, 128284, 59735, 34831, 2828, 71961, 11, 128653, 128263, 128277, 220, 127316, 85852, 47742, 53037, 135984, 23165, 125531, 78228, 126258, 128595, 28776, 128380, 128375, 128418, 11, 128623, 128285, 279, 78, 129031, 135352, 595, 20868, 128384, 126260, 128331, 13, 135433, 128327, 129572, 2600, 348, 352, 11, 141127, 128333, 308, 124634, 129398, 37915, 129207, 128333, 279, 78, 129363, 128365, 77374, 130344, 130498, 59735, 126258, 128595, 47742, 129363, 128365, 129477, 138178, 59735, 128427, 128278, 128379, 129831, 128319, 128250, 128788, 128406, 85636, 128415, 11, 595, 20868, 653, 27924, 59735, 126258, 128595, 128344, 53037, 128459, 220, 16, 17, 128290, 13, 444, 126175, 131531, 2600, 348, 352, 129831, 128319, 128250, 129031, 135352, 126260, 128331, 84137, 126370, 128333, 128272, 141127, 128333, 220, 16, 15, 21, 14, 17, 15, 15, 23, 20290, 40225, 12, 7123, 128371, 128358, 11, 140694, 131531, 348, 352, 130498, 128278, 128379, 128411, 128329, 128324, 29974, 128411, 140694, 131531, 130641, 137535, 129591, 130388, 128880, 129572, 220, 20, 128290, 130700, 220, 16, 53381, 77, 77354, 13, 129840, 79668, 129551, 128417, 128439, 9805, 71, 128623, 69086, 128334, 128373, 140694, 131531, 129913, 128284, 128278, 128379, 11, 128430, 34831, 2828, 71961, 129263, 128447, 128377, 128427, 47742, 130660, 128411, 128265, 128556, 128311, 11, 141127, 128333, 220, 22, 20, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 79126, 28776, 126370, 128333, 92105, 25, 444, 126175, 131531, 2600, 348, 352, 128278, 128379, 53037, 132058, 128304, 140694, 131531, 128823, 129866, 78228, 129738, 130498, 130700, 128250, 128812, 128623, 128285, 59735, 34831, 2828, 71961, 13, 130017, 137295, 133796, 34831, 2828, 71961, 128439, 130051, 129240, 140694, 131531, 128823, 129866, 78228, 129738, 130498, 47742, 25798, 128812, 128623, 128285, 128603, 129410, 130085, 131443, 129935, 128329, 129270, 128356, 34831, 2828, 71961, 128361, 129029, 134352, 128311, 62029, 128888, 140694, 131531, 2600, 348, 352, 129913, 128284, 128278, 128379, 13, 131431, 128319, 140694, 131531, 305, 4076, 128285, 128823, 129866, 28776, 128871, 128285, 128465, 11, 130085, 131443, 129935, 128329, 129270, 128356, 34831, 2828, 71961, 128603, 129410, 129029, 134352, 128311, 128334, 132314, 140694, 131531, 2600, 129831, 128319, 13, 140593, 20165, 524, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071 ]
1,072
[ 39, 84300, 79, 128400, 130693, 129156, 11, 128362, 128531, 129368, 135803, 128336, 47742, 129368, 128336, 79479, 128272, 386, 9574, 1737, 77354, 1455, 125531, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 134634, 141840, 140923, 128333, 129181, 129591, 130388, 128324, 29974, 47742, 129591, 130388, 386, 9574, 1737, 77354, 1455, 125531, 2600, 133784, 128595, 1036, 39, 84300, 79, 128400, 130693, 129156, 11, 128362, 128531, 129368, 135803, 128336, 47742, 129368, 128336, 79479, 128272, 386, 9574, 1737, 77354, 1455, 125531, 94995, 72, 130393, 220, 17, 15, 16, 18, 12, 17, 15, 16, 22, 854, 624, 1001, 42504, 131943, 137930, 128918, 2600, 131400, 128854, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 270, 352, 128387, 129591, 130388, 128324, 29974, 129212, 140923, 128333, 128273, 128250, 128479, 129054, 28776, 133024, 128918, 59735, 129591, 130388, 386, 9574, 1737, 77354, 1455, 125531, 624, 33, 37678, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 128427, 132630, 11, 131628, 128319, 128250, 78228, 128322, 922, 276, 128542, 922, 276, 128531, 23165, 2143, 128336, 128283, 126258, 128595, 279, 78, 129315, 126370, 128333, 128283, 128373, 47742, 128431, 128935, 98127, 128854, 59735, 130390, 131943, 129591, 130388, 128272, 128683, 128450, 65526, 220, 20, 20, 18, 15, 27233, 4872, 47, 28242, 39, 43678, 128300, 220, 23, 14, 22, 14, 17, 15, 16, 18, 59735, 129126, 128441, 129591, 130388, 624, 33, 37678, 142769, 342, 22516, 128643, 129202, 78228, 128799, 128884, 128360, 128422, 279, 78, 126370, 128333, 59735, 128513, 129963, 128283, 128373, 2600, 128289, 129212, 78228, 140923, 128333, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39, 84300, 79, 128400, 130693, 129156, 11, 128362, 128531, 129368, 135803, 128336, 47742, 129368, 128336, 79479, 128272, 386, 9574, 1737, 77354, 1455, 125531, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 134634, 141840, 140923, 128333, 129181, 129591, 130388, 128324, 29974, 47742, 129591, 130388, 386, 9574, 1737, 77354, 1455, 125531, 2600, 133784, 128595, 1036, 39, 84300, 79, 128400, 130693, 129156, 11, 128362, 128531, 129368, 135803, 128336, 47742, 129368, 128336, 79479, 128272, 386, 9574, 1737, 77354, 1455, 125531, 94995, 72, 130393, 220, 17, 15, 16, 18, 12, 17, 15, 16, 22, 854, 624, 1001, 42504, 131943, 137930, 128918, 2600, 131400, 128854, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 270, 352, 128387, 129591, 130388, 128324, 29974, 129212, 140923, 128333, 128273, 128250, 128479, 129054, 28776, 133024, 128918, 59735, 129591, 130388, 386, 9574, 1737, 77354, 1455, 125531, 624, 33, 37678, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 128427, 132630, 11, 131628, 128319, 128250, 78228, 128322, 922, 276, 128542, 922, 276, 128531, 23165, 2143, 128336, 128283, 126258, 128595, 279, 78, 129315, 126370, 128333, 128283, 128373, 47742, 128431, 128935, 98127, 128854, 59735, 130390, 131943, 129591, 130388, 128272, 128683, 128450, 65526, 220, 20, 20, 18, 15, 27233, 4872, 47, 28242, 39, 43678, 128300, 220, 23, 14, 22, 14, 17, 15, 16, 18, 59735, 129126, 128441, 129591, 130388, 624, 33, 37678, 142769, 342, 22516, 128643, 129202, 78228, 128799, 128884, 128360, 128422, 279, 78, 126370, 128333, 59735, 128513, 129963, 128283, 128373, 2600, 128289, 129212, 78228, 140923, 128333, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 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
[ 51, 88316, 129991, 128331, 128266, 128289, 128484, 128804, 129181, 128322, 922, 276, 128275, 128301, 128250, 128251, 128394, 47742, 60656, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131786, 128361, 128664, 94995, 128265, 128740, 128284, 356, 6408, 51, 69086, 128623, 128285, 59735, 128322, 922, 276, 128275, 128301, 131763, 129551, 128417, 131140, 131520, 129531, 128859, 128904, 128367, 128740, 128284, 356, 6408, 51, 69086, 128623, 128285, 59735, 128322, 922, 276, 128275, 128301, 128273, 126370, 130179, 128664, 94995, 26, 128943, 128855, 78228, 128457, 128573, 92430, 24790, 131167, 259, 124428, 128425, 129991, 128331, 128266, 128289, 128484, 128804, 129181, 128322, 922, 276, 128275, 128301, 11, 128904, 128367, 272, 2185, 128376, 128507, 128367, 2600, 128251, 128394, 47742, 60656, 624, 33, 37678, 130303, 24790, 47742, 141901, 92430, 79126, 128427, 132630, 128943, 128855, 133784, 132972, 3406, 88, 51580, 128333, 59735, 130390, 131943, 129591, 130388, 134634, 141840, 131786, 128361, 128664, 94995, 128265, 128740, 128284, 62029, 128781, 92430, 24790, 320, 97254, 51, 8, 69086, 128623, 128285, 59735, 128322, 922, 276, 128275, 128301, 94995, 72, 130393, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 20, 13, 386, 92704, 128575, 128263, 128290, 220, 17, 15, 16, 20, 11, 220, 16, 15, 15, 4, 78228, 128322, 922, 276, 128275, 128301, 128376, 128666, 128444, 129372, 129281, 78228, 129029, 11, 128322, 922, 276, 7777, 524, 129029, 11, 128322, 922, 276, 129281, 129591, 130388, 11, 78228, 126341, 128502, 128311, 128466, 481, 128847, 128410, 11, 128376, 128847, 11, 140515, 128272, 78228, 129018, 11, 64061, 128974, 47742, 78228, 128322, 922, 276, 128542, 922, 276, 63478, 128403, 132364, 86139, 129461, 129045, 128653, 133061, 128368, 2162, 78, 11, 458, 128401, 11, 128417, 130821, 59735, 134355, 47742, 129645, 128301, 26, 220, 16, 15, 15, 4, 78228, 128564, 136856, 59735, 129591, 130388, 11, 130390, 131943, 129591, 130388, 128250, 78228, 129029, 11, 78228, 126341, 128502, 128311, 128466, 481, 128847, 128410, 128376, 1163, 2185, 220, 85375, 11, 73061, 8065, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 28776, 128254, 63478, 128336, 128283, 128273, 129991, 128331, 129461, 26, 220, 22, 15, 4, 78228, 128683, 128450, 11, 128556, 88057, 128311, 128482, 489, 3441, 128726, 129181, 78228, 128322, 922, 276, 128275, 128301, 63478, 489, 3441, 128726, 128643, 128401, 129227, 130249, 128484, 128804, 26, 128531, 23165, 2143, 138907, 128573, 92430, 24790, 129270, 128356, 131538, 95082, 47742, 72067, 134424, 128447, 220, 16, 15, 15, 4, 78228, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 13, 350, 124710, 130203, 521, 685, 129958, 78228, 92430, 24790, 128373, 128311, 128422, 129553, 129181, 78228, 128322, 922, 276, 128275, 128301, 11, 293, 3441, 130068, 25, 128394, 129447, 11, 134375, 11, 128750, 14854, 2143, 11, 82790, 272, 37678, 11, 128943, 128855, 11, 92430, 24790, 595, 20868, 128384, 481, 128847, 128410, 131763, 128757, 129597, 141700, 78228, 92430, 24790, 128498, 128451, 94576, 128251, 128394, 47742, 60656, 13, 131786, 128361, 128268, 128845, 15122, 129203, 128575, 128943, 128855, 11, 128643, 130509, 78228, 128457, 128573, 92430, 24790, 128744, 129857, 126370, 130179, 128664, 94995, 128422, 129553, 11, 128904, 128367, 272, 2185, 128376, 128507, 128367, 2600, 128251, 128394, 47742, 60656, 13, 356, 50483, 128254, 11, 220, 23, 15, 4, 128251, 128394, 47742, 60656, 143281, 129122, 129582, 23165, 2143, 134375, 73525, 129461, 26, 220, 24, 15, 4, 356, 92704, 131039, 922, 276, 78228, 129018, 11, 64061, 128974, 128531, 23165, 2143, 128799, 128884, 138650, 922, 276, 128484, 128804, 26, 220, 18, 15, 4, 78228, 129507, 270, 91012, 296, 4284, 274, 125238, 61758, 128585, 11, 128943, 135765, 47742, 128507, 128367, 128379, 128580, 2600, 78228, 128322, 922, 276, 128275, 128301, 63478, 128336, 128283, 73525, 129461, 26, 220, 16, 15, 15, 4, 126469, 135714, 63478, 128376, 2600, 62029, 128394, 128324, 29974, 128904, 128367, 62029, 128400, 128415, 11, 62572, 129111, 37915, 126469, 135714, 128484, 128804, 1112, 140401, 128846, 128263, 128290, 220, 17, 15, 17, 15, 11, 128981, 130203, 128761, 128319, 78228, 128507, 128367, 62029, 128846, 128447, 141580, 128451, 59735, 128251, 128394, 47742, 60656, 11, 128904, 128367, 128251, 128394, 47742, 60656, 128728, 128730, 11, 128728, 128837, 126258, 64, 128273, 128271, 128675, 129698, 128354, 20303, 2863, 13, 3406, 88, 51580, 128333, 128268, 308, 124634, 129398, 78228, 128811, 85536, 129705, 128254, 59735, 131786, 128361, 47742, 128486, 128513, 11, 595, 20868, 128812, 128336, 128283, 1112, 386, 124315, 89437, 130606, 856, 336, 128401, 128683, 133784, 132972, 3406, 88, 51580, 128333, 47742, 131072, 128431, 13, 356, 60257, 968, 32744, 136256, 129591, 130388, 129029, 130303, 24790, 47742, 141901, 92430, 79126, 128427, 132630, 128943, 128855, 133784, 132972, 3406, 88, 51580, 128333, 59735, 130390, 131943, 129591, 130388, 134634, 141840, 131786, 128361, 128664, 94995, 128265, 128740, 128284, 62029, 128781, 92430, 24790, 320, 97254, 51, 8, 69086, 128623, 128285, 59735, 128322, 922, 276, 128275, 128301, 94995, 72, 130393, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 20, 13, 386, 92704, 128575, 128263, 128290, 220, 17, 15, 16, 20, 11, 220, 16, 15, 15, 4, 78228, 128322, 922, 276, 128275, 128301, 128376, 128666, 128444, 129372, 129281, 78228, 129029, 11, 128322, 922, 276, 7777, 524, 129029, 11, 128322, 922, 276, 129281, 129591, 130388, 11, 78228, 126341, 128502, 128311, 128466, 481, 128847, 128410, 11, 128376, 128847, 11, 140515, 128272, 78228, 129018, 11, 64061, 128974, 47742, 78228, 128322, 922, 276, 128542, 922, 276, 63478, 128403, 132364, 86139, 129461, 129045, 128653, 133061, 128368, 2162, 78, 11, 458, 128401, 11, 128417, 130821, 59735, 134355, 47742, 129645, 128301, 26, 220, 16, 15, 15, 4, 78228, 128564, 136856, 59735, 129591, 130388, 11, 130390, 131943, 129591, 130388, 128250, 78228, 129029, 11, 78228, 126341, 128502, 128311, 128466, 481, 128847, 128410, 128376, 1163, 2185, 220, 85375, 11, 73061, 8065, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 28776, 128254, 63478, 128336, 128283, 128273, 129991, 128331, 129461, 26, 220, 22, 15, 4, 78228, 128683, 128450, 11, 128556, 88057, 128311, 128482, 489, 3441, 128726, 129181, 78228, 128322, 922, 276, 128275, 128301, 63478, 489, 3441, 128726, 128643, 128401, 129227, 130249, 128484, 128804, 26, 128531, 23165, 2143, 138907, 128573, 92430, 24790, 129270, 128356, 131538, 95082, 47742, 72067, 134424, 128447, 220, 16, 15, 15, 4, 78228, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 13, 350, 124710, 130203, 521, 685, 129958, 78228, 92430, 24790, 128373, 128311, 128422, 129553, 129181, 78228, 128322, 922, 276, 128275, 128301, 11, 293, 3441, 130068, 25, 128394, 129447, 11, 134375, 11, 128750, 14854, 2143, 11, 82790, 272, 37678, 11, 128943, 128855, 11, 92430, 24790, 595, 20868, 128384, 481, 128847, 128410, 131763, 128757, 129597, 141700, 78228, 92430, 24790, 128498, 128451, 94576, 128251, 128394, 47742, 60656, 13, 131786, 128361, 128268, 128845, 15122, 129203, 128575, 128943, 128855, 11, 128643, 130509, 78228, 128457, 128573, 92430, 24790, 128744, 129857, 126370, 130179, 128664, 94995, 128422, 129553, 11, 128904, 128367, 272, 2185, 128376, 128507, 128367, 2600, 128251, 128394, 47742, 60656, 13, 356, 50483, 128254, 11, 220, 23, 15, 4, 128251, 128394, 47742, 60656, 143281, 129122, 129582, 23165, 2143, 134375, 73525, 129461, 26, 220, 24, 15, 4, 356, 92704, 131039, 922, 276, 78228, 129018, 11, 64061, 128974, 128531, 23165, 2143, 128799, 128884, 138650, 922, 276, 128484, 128804, 26, 220, 18, 15, 4, 78228, 129507, 270, 91012, 296, 4284, 274, 125238, 61758, 128585, 11, 128943, 135765, 47742, 128507, 128367, 128379, 128580, 2600, 78228, 128322, 922, 276, 128275, 128301, 63478, 128336, 128283, 73525, 129461, 26, 220, 16, 15, 15, 4, 126469, 135714, 63478, 128376, 2600, 62029, 128394, 128324, 29974, 128904, 128367, 62029, 128400, 128415, 11, 62572, 129111, 37915, 126469, 135714, 128484, 128804, 1112, 140401, 128846, 128263, 128290, 220, 17, 15, 17, 15, 11, 128981, 130203, 128761, 128319, 78228, 128507, 128367, 62029, 128846, 128447, 141580, 128451, 59735, 128251, 128394, 47742, 60656, 11, 128904, 128367, 128251, 128394, 47742, 60656, 128728, 128730, 11, 128728, 128837, 126258, 64, 128273, 128271, 128675, 129698, 128354, 20303, 2863, 13, 3406, 88, 51580, 128333, 128268, 308, 124634, 129398, 78228, 128811, 85536, 129705, 128254, 59735, 131786, 128361, 47742, 128486, 128513, 11, 595, 20868, 128812, 128336, 128283, 1112, 386, 124315, 89437, 130606, 856, 336, 128401, 128683, 133784, 132972, 3406, 88, 51580, 128333, 47742, 131072, 128431, 13, 356, 60257, 968, 32744, 136256, 129591, 130388, 3406, 88, 51580, 128333, 128268, 308, 124634, 129398, 78228, 128811, 85536, 129705, 128254, 59735, 131786, 128361, 47742, 128486, 128513, 11, 595, 20868, 128812, 128336, 128283, 9338, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 51, 88316, 129991, 128331, 128266, 128289, 128484, 128804, 129181, 128322, 922, 276, 128275, 128301, 128250, 128251, 128394, 47742, 60656, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131786, 128361, 128664, 94995, 128265, 128740, 128284, 356, 6408, 51, 69086, 128623, 128285, 59735, 128322, 922, 276, 128275, 128301, 131763, 129551, 128417, 131140, 131520, 129531, 128859, 128904, 128367, 128740, 128284, 356, 6408, 51, 69086, 128623, 128285, 59735, 128322, 922, 276, 128275, 128301, 128273, 126370, 130179, 128664, 94995, 26, 128943, 128855, 78228, 128457, 128573, 92430, 24790, 131167, 259, 124428, 128425, 129991, 128331, 128266, 128289, 128484, 128804, 129181, 128322, 922, 276, 128275, 128301, 11, 128904, 128367, 272, 2185, 128376, 128507, 128367, 2600, 128251, 128394, 47742, 60656, 624, 33, 37678, 130303, 24790, 47742, 141901, 92430, 79126, 128427, 132630, 128943, 128855, 133784, 132972, 3406, 88, 51580, 128333, 59735, 130390, 131943, 129591, 130388, 134634, 141840, 131786, 128361, 128664, 94995, 128265, 128740, 128284, 62029, 128781, 92430, 24790, 320, 97254, 51, 8, 69086, 128623, 128285, 59735, 128322, 922, 276, 128275, 128301, 94995, 72, 130393, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 20, 13, 386, 92704, 128575, 128263, 128290, 220, 17, 15, 16, 20, 11, 220, 16, 15, 15, 4, 78228, 128322, 922, 276, 128275, 128301, 128376, 128666, 128444, 129372, 129281, 78228, 129029, 11, 128322, 922, 276, 7777, 524, 129029, 11, 128322, 922, 276, 129281, 129591, 130388, 11, 78228, 126341, 128502, 128311, 128466, 481, 128847, 128410, 11, 128376, 128847, 11, 140515, 128272, 78228, 129018, 11, 64061, 128974, 47742, 78228, 128322, 922, 276, 128542, 922, 276, 63478, 128403, 132364, 86139, 129461, 129045, 128653, 133061, 128368, 2162, 78, 11, 458, 128401, 11, 128417, 130821, 59735, 134355, 47742, 129645, 128301, 26, 220, 16, 15, 15, 4, 78228, 128564, 136856, 59735, 129591, 130388, 11, 130390, 131943, 129591, 130388, 128250, 78228, 129029, 11, 78228, 126341, 128502, 128311, 128466, 481, 128847, 128410, 128376, 1163, 2185, 220, 85375, 11, 73061, 8065, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 28776, 128254, 63478, 128336, 128283, 128273, 129991, 128331, 129461, 26, 220, 22, 15, 4, 78228, 128683, 128450, 11, 128556, 88057, 128311, 128482, 489, 3441, 128726, 129181, 78228, 128322, 922, 276, 128275, 128301, 63478, 489, 3441, 128726, 128643, 128401, 129227, 130249, 128484, 128804, 26, 128531, 23165, 2143, 138907, 128573, 92430, 24790, 129270, 128356, 131538, 95082, 47742, 72067, 134424, 128447, 220, 16, 15, 15, 4, 78228, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 13, 350, 124710, 130203, 521, 685, 129958, 78228, 92430, 24790, 128373, 128311, 128422, 129553, 129181, 78228, 128322, 922, 276, 128275, 128301, 11, 293, 3441, 130068, 25, 128394, 129447, 11, 134375, 11, 128750, 14854, 2143, 11, 82790, 272, 37678, 11, 128943, 128855, 11, 92430, 24790, 595, 20868, 128384, 481, 128847, 128410, 131763, 128757, 129597, 141700, 78228, 92430, 24790, 128498, 128451, 94576, 128251, 128394, 47742, 60656, 13, 131786, 128361, 128268, 128845, 15122, 129203, 128575, 128943, 128855, 11, 128643, 130509, 78228, 128457, 128573, 92430, 24790, 128744, 129857, 126370, 130179, 128664, 94995, 128422, 129553, 11, 128904, 128367, 272, 2185, 128376, 128507, 128367, 2600, 128251, 128394, 47742, 60656, 13, 356, 50483, 128254, 11, 220, 23, 15, 4, 128251, 128394, 47742, 60656, 143281, 129122, 129582, 23165, 2143, 134375, 73525, 129461, 26, 220, 24, 15, 4, 356, 92704, 131039, 922, 276, 78228, 129018, 11, 64061, 128974, 128531, 23165, 2143, 128799, 128884, 138650, 922, 276, 128484, 128804, 26, 220, 18, 15, 4, 78228, 129507, 270, 91012, 296, 4284, 274, 125238, 61758, 128585, 11, 128943, 135765, 47742, 128507, 128367, 128379, 128580, 2600, 78228, 128322, 922, 276, 128275, 128301, 63478, 128336, 128283, 73525, 129461, 26, 220, 16, 15, 15, 4, 126469, 135714, 63478, 128376, 2600, 62029, 128394, 128324, 29974, 128904, 128367, 62029, 128400, 128415, 11, 62572, 129111, 37915, 126469, 135714, 128484, 128804, 1112, 140401, 128846, 128263, 128290, 220, 17, 15, 17, 15, 11, 128981, 130203, 128761, 128319, 78228, 128507, 128367, 62029, 128846, 128447, 141580, 128451, 59735, 128251, 128394, 47742, 60656, 11, 128904, 128367, 128251, 128394, 47742, 60656, 128728, 128730, 11, 128728, 128837, 126258, 64, 128273, 128271, 128675, 129698, 128354, 20303, 2863, 13, 3406, 88, 51580, 128333, 128268, 308, 124634, 129398, 78228, 128811, 85536, 129705, 128254, 59735, 131786, 128361, 47742, 128486, 128513, 11, 595, 20868, 128812, 128336, 128283, 1112, 386, 124315, 89437, 130606, 856, 336, 128401, 128683, 133784, 132972, 3406, 88, 51580, 128333, 47742, 131072, 128431, 13, 356, 60257, 968, 32744, 136256, 129591, 130388, 129029, 130303, 24790, 47742, 141901, 92430, 79126, 128427, 132630, 128943, 128855, 133784, 132972, 3406, 88, 51580, 128333, 59735, 130390, 131943, 129591, 130388, 134634, 141840, 131786, 128361, 128664, 94995, 128265, 128740, 128284, 62029, 128781, 92430, 24790, 320, 97254, 51, 8, 69086, 128623, 128285, 59735, 128322, 922, 276, 128275, 128301, 94995, 72, 130393, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 20, 13, 386, 92704, 128575, 128263, 128290, 220, 17, 15, 16, 20, 11, 220, 16, 15, 15, 4, 78228, 128322, 922, 276, 128275, 128301, 128376, 128666, 128444, 129372, 129281, 78228, 129029, 11, 128322, 922, 276, 7777, 524, 129029, 11, 128322, 922, 276, 129281, 129591, 130388, 11, 78228, 126341, 128502, 128311, 128466, 481, 128847, 128410, 11, 128376, 128847, 11, 140515, 128272, 78228, 129018, 11, 64061, 128974, 47742, 78228, 128322, 922, 276, 128542, 922, 276, 63478, 128403, 132364, 86139, 129461, 129045, 128653, 133061, 128368, 2162, 78, 11, 458, 128401, 11, 128417, 130821, 59735, 134355, 47742, 129645, 128301, 26, 220, 16, 15, 15, 4, 78228, 128564, 136856, 59735, 129591, 130388, 11, 130390, 131943, 129591, 130388, 128250, 78228, 129029, 11, 78228, 126341, 128502, 128311, 128466, 481, 128847, 128410, 128376, 1163, 2185, 220, 85375, 11, 73061, 8065, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 28776, 128254, 63478, 128336, 128283, 128273, 129991, 128331, 129461, 26, 220, 22, 15, 4, 78228, 128683, 128450, 11, 128556, 88057, 128311, 128482, 489, 3441, 128726, 129181, 78228, 128322, 922, 276, 128275, 128301, 63478, 489, 3441, 128726, 128643, 128401, 129227, 130249, 128484, 128804, 26, 128531, 23165, 2143, 138907, 128573, 92430, 24790, 129270, 128356, 131538, 95082, 47742, 72067, 134424, 128447, 220, 16, 15, 15, 4, 78228, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 13, 350, 124710, 130203, 521, 685, 129958, 78228, 92430, 24790, 128373, 128311, 128422, 129553, 129181, 78228, 128322, 922, 276, 128275, 128301, 11, 293, 3441, 130068, 25, 128394, 129447, 11, 134375, 11, 128750, 14854, 2143, 11, 82790, 272, 37678, 11, 128943, 128855, 11, 92430, 24790, 595, 20868, 128384, 481, 128847, 128410, 131763, 128757, 129597, 141700, 78228, 92430, 24790, 128498, 128451, 94576, 128251, 128394, 47742, 60656, 13, 131786, 128361, 128268, 128845, 15122, 129203, 128575, 128943, 128855, 11, 128643, 130509, 78228, 128457, 128573, 92430, 24790, 128744, 129857, 126370, 130179, 128664, 94995, 128422, 129553, 11, 128904, 128367, 272, 2185, 128376, 128507, 128367, 2600, 128251, 128394, 47742, 60656, 13, 356, 50483, 128254, 11, 220, 23, 15, 4, 128251, 128394, 47742, 60656, 143281, 129122, 129582, 23165, 2143, 134375, 73525, 129461, 26, 220, 24, 15, 4, 356, 92704, 131039, 922, 276, 78228, 129018, 11, 64061, 128974, 128531, 23165, 2143, 128799, 128884, 138650, 922, 276, 128484, 128804, 26, 220, 18, 15, 4, 78228, 129507, 270, 91012, 296, 4284, 274, 125238, 61758, 128585, 11, 128943, 135765, 47742, 128507, 128367, 128379, 128580, 2600, 78228, 128322, 922, 276, 128275, 128301, 63478, 128336, 128283, 73525, 129461, 26, 220, 16, 15, 15, 4, 126469, 135714, 63478, 128376, 2600, 62029, 128394, 128324, 29974, 128904, 128367, 62029, 128400, 128415, 11, 62572, 129111, 37915, 126469, 135714, 128484, 128804, 1112, 140401, 128846, 128263, 128290, 220, 17, 15, 17, 15, 11, 128981, 130203, 128761, 128319, 78228, 128507, 128367, 62029, 128846, 128447, 141580, 128451, 59735, 128251, 128394, 47742, 60656, 11, 128904, 128367, 128251, 128394, 47742, 60656, 128728, 128730, 11, 128728, 128837, 126258, 64, 128273, 128271, 128675, 129698, 128354, 20303, 2863, 13, 3406, 88, 51580, 128333, 128268, 308, 124634, 129398, 78228, 128811, 85536, 129705, 128254, 59735, 131786, 128361, 47742, 128486, 128513, 11, 595, 20868, 128812, 128336, 128283, 1112, 386, 124315, 89437, 130606, 856, 336, 128401, 128683, 133784, 132972, 3406, 88, 51580, 128333, 47742, 131072, 128431, 13, 356, 60257, 968, 32744, 136256, 129591, 130388, 3406, 88, 51580, 128333, 128268, 308, 124634, 129398, 78228, 128811, 85536, 129705, 128254, 59735, 131786, 128361, 47742, 128486, 128513, 11, 595, 20868, 128812, 128336, 128283, 9338, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320 ]
1,321
[ 39, 88602, 128494, 128529, 25798, 79668, 130767, 128451, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 130442, 128494, 2600, 128345, 128267, 128529, 25798, 128575, 47742, 132677, 128370, 270, 86728, 305, 50483, 83, 131538, 95082, 69086, 128290, 220, 17, 15, 16, 19, 79668, 129481, 128886, 595, 20868, 128384, 69086, 128301, 128529, 129528, 11, 128633, 132677, 128253, 775, 138039, 128265, 128419, 129916, 138178, 62029, 94995, 128529, 624, 33, 37678, 142226, 136312, 47742, 134352, 128311, 130442, 128494, 2600, 128345, 128491, 128529, 128622, 220, 19, 11, 21, 4, 25798, 128575, 129591, 130388, 69086, 128290, 220, 17, 15, 16, 19, 128350, 220, 18, 20, 22, 13, 22, 15, 15, 129427, 2765, 320, 18, 18, 17, 129427, 19551, 568, 133784, 132972, 131538, 95082, 128290, 220, 17, 15, 16, 19, 59735, 130442, 128494, 11, 63478, 128685, 78228, 128301, 96535, 92430, 73525, 69086, 128564, 136856, 128300, 220, 17, 21, 14, 24, 11, 128267, 63478, 128361, 128350, 128494, 128410, 128301, 96535, 86139, 128300, 220, 17, 14, 16, 15, 13, 386, 94963, 128529, 279, 78, 128498, 128451, 96535, 132058, 128304, 390, 65526, 128529, 220, 20, 11, 16, 4, 69086, 131538, 95082, 220, 17, 15, 16, 18, 13, 350, 4076, 128490, 11, 128334, 96535, 128960, 15122, 94994, 129738, 77374, 131538, 95082, 59735, 130442, 128494, 69086, 128290, 220, 17, 15, 16, 19, 126258, 128935, 128757, 220, 15, 11, 20, 4, 773, 128250, 128290, 220, 17, 15, 16, 18, 11, 128568, 128757, 128278, 128924, 69086, 220, 19, 128290, 73525, 624, 785, 78, 129029, 129528, 142226, 136312, 47742, 134352, 128311, 130442, 128494, 10112, 359, 506, 97528, 562, 11, 128322, 922, 276, 96535, 79126, 128553, 489, 2185, 128271, 128304, 86139, 129414, 128367, 130767, 128745, 128529, 129528, 595, 20868, 128384, 128304, 37915, 128757, 270, 86728, 305, 50483, 83, 131538, 95082, 13, 84137, 128498, 128451, 59735, 126258, 132972, 131538, 95082, 220, 17, 15, 16, 19, 11, 25798, 128575, 130176, 2600, 128457, 128573, 458, 97832, 128847, 128410, 59735, 130442, 128494, 11, 293, 3441, 130068, 379, 128384, 47742, 128289, 128266, 11, 128267, 128529, 220, 23, 11, 22, 4, 128350, 220, 16, 15, 20, 13, 24, 15, 15, 129427, 2765, 13, 1163, 644, 94994, 128270, 11, 25798, 128575, 128664, 128441, 59735, 130442, 128494, 69086, 128290, 220, 17, 15, 16, 19, 128529, 220, 19, 11, 17, 4, 128350, 220, 18, 20, 13, 23, 15, 15, 129427, 2765, 11, 293, 3441, 130068, 128495, 130361, 296, 4284, 129067, 259, 20868, 47742, 129064, 136337, 128353, 128284, 2600, 129203, 134569, 128664, 128441, 1725, 624, 48336, 87325, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39, 88602, 128494, 128529, 25798, 79668, 130767, 128451, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 130442, 128494, 2600, 128345, 128267, 128529, 25798, 128575, 47742, 132677, 128370, 270, 86728, 305, 50483, 83, 131538, 95082, 69086, 128290, 220, 17, 15, 16, 19, 79668, 129481, 128886, 595, 20868, 128384, 69086, 128301, 128529, 129528, 11, 128633, 132677, 128253, 775, 138039, 128265, 128419, 129916, 138178, 62029, 94995, 128529, 624, 33, 37678, 142226, 136312, 47742, 134352, 128311, 130442, 128494, 2600, 128345, 128491, 128529, 128622, 220, 19, 11, 21, 4, 25798, 128575, 129591, 130388, 69086, 128290, 220, 17, 15, 16, 19, 128350, 220, 18, 20, 22, 13, 22, 15, 15, 129427, 2765, 320, 18, 18, 17, 129427, 19551, 568, 133784, 132972, 131538, 95082, 128290, 220, 17, 15, 16, 19, 59735, 130442, 128494, 11, 63478, 128685, 78228, 128301, 96535, 92430, 73525, 69086, 128564, 136856, 128300, 220, 17, 21, 14, 24, 11, 128267, 63478, 128361, 128350, 128494, 128410, 128301, 96535, 86139, 128300, 220, 17, 14, 16, 15, 13, 386, 94963, 128529, 279, 78, 128498, 128451, 96535, 132058, 128304, 390, 65526, 128529, 220, 20, 11, 16, 4, 69086, 131538, 95082, 220, 17, 15, 16, 18, 13, 350, 4076, 128490, 11, 128334, 96535, 128960, 15122, 94994, 129738, 77374, 131538, 95082, 59735, 130442, 128494, 69086, 128290, 220, 17, 15, 16, 19, 126258, 128935, 128757, 220, 15, 11, 20, 4, 773, 128250, 128290, 220, 17, 15, 16, 18, 11, 128568, 128757, 128278, 128924, 69086, 220, 19, 128290, 73525, 624, 785, 78, 129029, 129528, 142226, 136312, 47742, 134352, 128311, 130442, 128494, 10112, 359, 506, 97528, 562, 11, 128322, 922, 276, 96535, 79126, 128553, 489, 2185, 128271, 128304, 86139, 129414, 128367, 130767, 128745, 128529, 129528, 595, 20868, 128384, 128304, 37915, 128757, 270, 86728, 305, 50483, 83, 131538, 95082, 13, 84137, 128498, 128451, 59735, 126258, 132972, 131538, 95082, 220, 17, 15, 16, 19, 11, 25798, 128575, 130176, 2600, 128457, 128573, 458, 97832, 128847, 128410, 59735, 130442, 128494, 11, 293, 3441, 130068, 379, 128384, 47742, 128289, 128266, 11, 128267, 128529, 220, 23, 11, 22, 4, 128350, 220, 16, 15, 20, 13, 24, 15, 15, 129427, 2765, 13, 1163, 644, 94994, 128270, 11, 25798, 128575, 128664, 128441, 59735, 130442, 128494, 69086, 128290, 220, 17, 15, 16, 19, 128529, 220, 19, 11, 17, 4, 128350, 220, 18, 20, 13, 23, 15, 15, 129427, 2765, 11, 293, 3441, 130068, 128495, 130361, 296, 4284, 129067, 259, 20868, 47742, 129064, 136337, 128353, 128284, 2600, 129203, 134569, 128664, 128441, 1725, 624, 48336, 87325, 624, 151645 ]
[ 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
[ 40225, 33450, 128415, 97610, 132601, 85636, 128529, 129528, 135268, 135584, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 41016, 128271, 128290, 55784, 7777, 125202, 128415, 97610, 132601, 85636, 128529, 129528, 128542, 128884, 128250, 133061, 128368, 128949, 2162, 78, 320, 65, 58506, 129866, 220, 16, 128290, 128529, 220, 16, 21, 11, 21, 33871, 128344, 94576, 128290, 220, 17, 15, 15, 24, 128263, 308, 352, 11, 128415, 97610, 132122, 128978, 96535, 128529, 129528, 130034, 128454, 13, 130406, 96535, 28776, 129031, 128310, 59735, 128525, 89478, 55, 84, 51358, 97610, 132601, 85636, 128269, 128301, 9450, 28776, 128249, 65526, 128406, 129861, 129480, 128431, 624, 48336, 7777, 125202, 128415, 97610, 128465, 128281, 69086, 78228, 128387, 61758, 128415, 97610, 132234, 11, 326, 86728, 11, 132601, 85636, 11, 132629, 128949, 71800, 773, 128250, 55784, 7777, 125202, 59735, 128387, 61758, 130719, 128720, 46051, 13, 56414, 51358, 97610, 132601, 85636, 79126, 130668, 69086, 131270, 130068, 220, 21, 64061, 97483, 129664, 55784, 7777, 125202, 94576, 220, 21, 129427, 19551, 128570, 128350, 13, 350, 127316, 128550, 59735, 55784, 7777, 125202, 128415, 97610, 132601, 85636, 69086, 129822, 55784, 7777, 125202, 128415, 97610, 132234, 11, 326, 86728, 11, 132601, 85636, 2162, 78, 128304, 129427, 128550, 129509, 128740, 69086, 29730, 320, 74, 6161, 124428, 220, 17, 18, 4, 773, 128250, 220, 16, 24, 11, 19, 4, 4292, 1001, 125992, 85636, 37915, 129857, 28776, 129427, 130554, 128415, 97610, 15792, 10298, 129281, 128433, 2162, 78, 128281, 69086, 78228, 129857, 47742, 2162, 78, 128304, 128271, 773, 128250, 129427, 130554, 129509, 128740, 59735, 128401, 128366, 131167, 595, 20868, 128384, 320, 77, 77354, 220, 17, 15, 16, 17, 129664, 129168, 220, 16, 15, 18, 11, 18, 4, 773, 128250, 220, 23, 16, 11, 21, 52072, 134175, 1187, 78, 128285, 128266, 128289, 69086, 129857, 132601, 85636, 128949, 131026, 131638, 11, 53037, 98127, 293, 3441, 130068, 128253, 1187, 78, 128285, 129372, 128424, 132645, 135149, 11, 128826, 128802, 132601, 85636, 11, 126199, 128320, 293, 3441, 130068, 78228, 1187, 78, 128285, 128266, 128507, 128367, 2600, 129857, 96535, 320, 14604, 125770, 128914, 220, 19, 4, 4292, 45, 58597, 131531, 1187, 78, 128285, 129857, 132601, 85636, 128290, 220, 17, 15, 16, 17, 129664, 129168, 220, 21, 17, 129077, 128329, 44043, 85532, 11, 2162, 78, 139831, 128914, 220, 17, 11, 19, 128568, 128365, 131531, 1187, 78, 128285, 59735, 131270, 129857, 132234, 11, 326, 86728, 128386, 12, 132601, 85636, 320, 17, 21, 129077, 128329, 44043, 85532, 8, 47742, 2162, 78, 128304, 128365, 131531, 1187, 78, 128285, 59735, 128401, 128366, 131167, 595, 20868, 128384, 320, 20, 22, 11, 16, 129077, 128329, 44043, 85532, 4292, 1001, 35928, 128331, 128415, 97610, 132601, 85636, 59735, 128324, 29974, 128949, 129922, 128465, 13, 1163, 644, 78228, 126260, 128331, 96535, 11, 69086, 220, 19, 128526, 128278, 128290, 220, 17, 15, 16, 18, 11, 28776, 220, 17, 24, 126260, 128331, 129664, 128273, 220, 16, 15, 129077, 19551, 320, 39, 19533, 133169, 220, 17, 23, 23, 129077, 19551, 11, 129898, 130164, 220, 17, 15, 20, 129077, 19551, 11, 130442, 128494, 220, 23, 18, 129077, 19551, 11, 1163, 2185, 128494, 220, 22, 16, 129077, 19551, 11, 129938, 220, 19, 20, 129077, 19551, 4292, 42, 51580, 128432, 129664, 63478, 128260, 128273, 653, 128271, 129031, 128310, 13, 129016, 129031, 128310, 129281, 128265, 128314, 128818, 128334, 129065, 128377, 128452, 47742, 129188, 133465, 128826, 128802, 138650, 85636, 71800, 293, 76294, 128250, 220, 17, 23, 13, 19, 17, 19, 129141, 624, 35544, 124382, 29974, 28776, 129054, 128761, 128387, 128301, 132645, 135149, 132601, 85636, 129664, 126370, 130179, 53037, 128821, 320, 77, 77354, 220, 17, 15, 16, 17, 129664, 220, 16, 11, 15, 20, 24, 129077, 6386, 11, 69086, 128270, 129054, 128761, 132645, 58701, 9586, 11, 259, 94365, 274, 6654, 259, 94365, 137118, 130595, 128949, 128465, 13, 1163, 644, 78228, 128704, 128675, 28776, 129054, 128761, 132645, 135149, 132601, 85636, 11, 28776, 220, 16, 23, 128704, 128675, 129664, 128273, 220, 16, 15, 13, 15, 15, 15, 6386, 320, 16719, 18934, 356, 6362, 386, 2863, 220, 18, 15, 15, 13, 20, 15, 15, 6386, 11, 425, 124904, 14511, 124634, 220, 16, 17, 21, 13, 24, 15, 15, 6386, 11, 29458, 27021, 15392, 524, 220, 16, 16, 21, 13, 16, 15, 15, 6386, 11, 328, 125877, 1163, 58597, 220, 21, 23, 13, 19, 15, 15, 6386, 568, 134360, 128375, 132601, 85636, 128290, 220, 17, 15, 16, 17, 220, 124603, 129664, 128273, 220, 20, 11, 22, 129077, 133270, 11, 2162, 78, 139831, 220, 17, 11, 20, 128568, 128290, 220, 16, 24, 24, 20, 11, 69086, 128270, 11, 85636, 128375, 23165, 2143, 133457, 128273, 220, 17, 11, 21, 129077, 133270, 11, 132645, 135149, 128273, 220, 18, 11, 16, 129077, 133270, 624, 40225, 1794, 37915, 128403, 128432, 128761, 129541, 47742, 129315, 128846, 624, 51, 4076, 128452, 11, 32154, 128271, 128290, 55784, 7777, 125202, 128415, 97610, 132601, 85636, 128529, 129528, 128542, 128884, 128250, 133061, 128368, 128949, 2162, 78, 320, 77, 77354, 220, 17, 15, 15, 23, 773, 128250, 128290, 220, 17, 15, 15, 15, 2162, 78, 139831, 128914, 220, 16, 23, 11, 24, 128568, 11, 128823, 129866, 220, 16, 128290, 128529, 220, 16, 21, 11, 21, 33871, 128344, 94576, 128290, 220, 17, 15, 15, 24, 128263, 308, 352, 79126, 28776, 128290, 128529, 11, 128290, 128757, 624, 51, 124504, 128368, 128529, 14, 128757, 55784, 7777, 125202, 128415, 97610, 132601, 85636, 128249, 65526, 128290, 128914, 128358, 13456, 568, 451, 8717, 125196, 65526, 88057, 25, 350, 1162, 42, 624, 51, 58506, 128338, 128273, 28776, 129031, 128310, 128269, 69086, 128301, 47742, 28776, 129031, 128310, 128269, 128301, 128703, 128400, 128285, 624, 132774, 69086, 128301, 11, 128289, 132645, 135149, 132601, 85636, 128320, 129233, 128639, 130909, 128265, 130498, 898, 26068, 968, 26, 128265, 128322, 128760, 128853, 128380, 79668, 128441, 129455, 131265, 52537, 11, 128265, 129374, 128441, 137329, 128507, 128453, 132601, 85636, 26, 128265, 130469, 47742, 128482, 128442, 132601, 85636, 13, 134360, 128375, 132601, 85636, 220, 19, 128526, 128278, 128290, 220, 17, 15, 16, 18, 129664, 220, 16, 11, 20, 21, 16, 129077, 133270, 11, 98127, 128529, 220, 15, 11, 24, 13384, 69086, 128270, 132645, 135149, 128757, 220, 17, 11, 22, 14360, 129016, 128327, 342, 1103, 653, 128309, 128757, 128475, 128639, 130909, 128265, 128415, 97610, 128317, 128289, 128575, 135364, 138117, 11, 137106, 14854, 125055, 128465, 128360, 28776, 128277, 129481, 128886, 59735, 78228, 129857, 11, 59735, 131538, 61758, 11, 59735, 129645, 128301, 624, 35544, 126201, 62572, 97610, 132601, 85636, 79668, 128751, 128871, 11, 128353, 128284, 79126, 128465, 320, 77, 77354, 220, 17, 15, 16, 17, 128914, 220, 21, 20, 20, 129077, 19551, 11, 220, 19, 128526, 128278, 128290, 220, 17, 15, 16, 18, 79126, 62572, 97610, 128273, 220, 16, 22, 18, 129077, 19551, 13, 133802, 129623, 128270, 11, 128289, 128826, 128802, 138650, 85636, 129233, 128639, 130909, 128265, 128327, 128861, 11, 128265, 458, 19550, 71, 128273, 130027, 13, 138458, 129916, 133637, 139901, 128492, 129589, 128263, 128575, 135364, 11, 128263, 129913, 129414, 59735, 132601, 85636, 128324, 29974, 11, 138585, 129087, 128282, 28776, 128277, 308, 71431, 128599, 59735, 128728, 128251, 11, 94576, 128251, 132645, 11, 128322, 128760, 128751, 128871, 47742, 128322, 922, 276, 129522, 128333, 345, 79759, 18934, 128490, 11, 128340, 128250, 128289, 128826, 128802, 11, 128347, 9450, 128320, 128360, 128282, 128788, 128589, 922, 276, 128396, 128263, 128289, 128417, 129067, 129738, 128994, 132601, 85636, 11, 128281, 37915, 128289, 128433, 129017, 128675, 129698, 7777, 18934, 129705, 128826, 128802, 128914, 293, 76294, 79668, 131282, 132247, 1853, 124382, 13, 133817, 128826, 128802, 71800, 293, 76294, 130544, 37915, 128427, 140996, 128465, 47742, 129315, 11, 128344, 128360, 130314, 2162, 78, 128423, 128432, 47742, 128417, 129551, 128289, 77374, 130344, 130498, 624, 132774, 128301, 128703, 11, 128265, 126260, 128331, 128415, 97610, 11, 128360, 23165, 2143, 133457, 126260, 128331, 128550, 128406, 28776, 141580, 128451, 128465, 11, 131282, 128419, 129916, 129623, 23686, 71, 128265, 128309, 79668, 129572, 128751, 128289, 129065, 128627, 129108, 128309, 11, 128826, 134375, 2162, 78, 11, 59735, 128301, 128760, 128272, 126199, 17275, 64, 133169, 128727, 129470, 128284, 79126, 128400, 128285, 128263, 128289, 132645, 58701, 9586, 11, 58701, 12789, 822, 13, 1163, 644, 78228, 128367, 129065, 128627, 129108, 128309, 11, 128322, 922, 276, 128502, 128365, 128268, 128360, 128266, 129398, 128622, 128580, 128456, 128265, 128336, 128380, 128324, 29974, 53037, 128627, 129108, 128309, 11, 126199, 128427, 129553, 653, 28776, 130483, 128314, 128265, 128327, 128861, 11, 129019, 130990, 11, 128334, 129065, 132645, 11, 128265, 128309, 128310, 62029, 130908, 11, 128265, 521, 5498, 16719, 130554, 331, 129181, 129427, 128309, 305, 87939, 125190, 124900, 47742, 129427, 128309, 128439, 279, 78, 128738, 296, 4284, 129509, 138051, 128320, 128465, 320, 6023, 51054, 128487, 128320, 128447, 220, 18, 128568, 11, 4292, 6217, 71, 132896, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 33450, 128415, 97610, 132601, 85636, 128529, 129528, 135268, 135584, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 41016, 128271, 128290, 55784, 7777, 125202, 128415, 97610, 132601, 85636, 128529, 129528, 128542, 128884, 128250, 133061, 128368, 128949, 2162, 78, 320, 65, 58506, 129866, 220, 16, 128290, 128529, 220, 16, 21, 11, 21, 33871, 128344, 94576, 128290, 220, 17, 15, 15, 24, 128263, 308, 352, 11, 128415, 97610, 132122, 128978, 96535, 128529, 129528, 130034, 128454, 13, 130406, 96535, 28776, 129031, 128310, 59735, 128525, 89478, 55, 84, 51358, 97610, 132601, 85636, 128269, 128301, 9450, 28776, 128249, 65526, 128406, 129861, 129480, 128431, 624, 48336, 7777, 125202, 128415, 97610, 128465, 128281, 69086, 78228, 128387, 61758, 128415, 97610, 132234, 11, 326, 86728, 11, 132601, 85636, 11, 132629, 128949, 71800, 773, 128250, 55784, 7777, 125202, 59735, 128387, 61758, 130719, 128720, 46051, 13, 56414, 51358, 97610, 132601, 85636, 79126, 130668, 69086, 131270, 130068, 220, 21, 64061, 97483, 129664, 55784, 7777, 125202, 94576, 220, 21, 129427, 19551, 128570, 128350, 13, 350, 127316, 128550, 59735, 55784, 7777, 125202, 128415, 97610, 132601, 85636, 69086, 129822, 55784, 7777, 125202, 128415, 97610, 132234, 11, 326, 86728, 11, 132601, 85636, 2162, 78, 128304, 129427, 128550, 129509, 128740, 69086, 29730, 320, 74, 6161, 124428, 220, 17, 18, 4, 773, 128250, 220, 16, 24, 11, 19, 4, 4292, 1001, 125992, 85636, 37915, 129857, 28776, 129427, 130554, 128415, 97610, 15792, 10298, 129281, 128433, 2162, 78, 128281, 69086, 78228, 129857, 47742, 2162, 78, 128304, 128271, 773, 128250, 129427, 130554, 129509, 128740, 59735, 128401, 128366, 131167, 595, 20868, 128384, 320, 77, 77354, 220, 17, 15, 16, 17, 129664, 129168, 220, 16, 15, 18, 11, 18, 4, 773, 128250, 220, 23, 16, 11, 21, 52072, 134175, 1187, 78, 128285, 128266, 128289, 69086, 129857, 132601, 85636, 128949, 131026, 131638, 11, 53037, 98127, 293, 3441, 130068, 128253, 1187, 78, 128285, 129372, 128424, 132645, 135149, 11, 128826, 128802, 132601, 85636, 11, 126199, 128320, 293, 3441, 130068, 78228, 1187, 78, 128285, 128266, 128507, 128367, 2600, 129857, 96535, 320, 14604, 125770, 128914, 220, 19, 4, 4292, 45, 58597, 131531, 1187, 78, 128285, 129857, 132601, 85636, 128290, 220, 17, 15, 16, 17, 129664, 129168, 220, 21, 17, 129077, 128329, 44043, 85532, 11, 2162, 78, 139831, 128914, 220, 17, 11, 19, 128568, 128365, 131531, 1187, 78, 128285, 59735, 131270, 129857, 132234, 11, 326, 86728, 128386, 12, 132601, 85636, 320, 17, 21, 129077, 128329, 44043, 85532, 8, 47742, 2162, 78, 128304, 128365, 131531, 1187, 78, 128285, 59735, 128401, 128366, 131167, 595, 20868, 128384, 320, 20, 22, 11, 16, 129077, 128329, 44043, 85532, 4292, 1001, 35928, 128331, 128415, 97610, 132601, 85636, 59735, 128324, 29974, 128949, 129922, 128465, 13, 1163, 644, 78228, 126260, 128331, 96535, 11, 69086, 220, 19, 128526, 128278, 128290, 220, 17, 15, 16, 18, 11, 28776, 220, 17, 24, 126260, 128331, 129664, 128273, 220, 16, 15, 129077, 19551, 320, 39, 19533, 133169, 220, 17, 23, 23, 129077, 19551, 11, 129898, 130164, 220, 17, 15, 20, 129077, 19551, 11, 130442, 128494, 220, 23, 18, 129077, 19551, 11, 1163, 2185, 128494, 220, 22, 16, 129077, 19551, 11, 129938, 220, 19, 20, 129077, 19551, 4292, 42, 51580, 128432, 129664, 63478, 128260, 128273, 653, 128271, 129031, 128310, 13, 129016, 129031, 128310, 129281, 128265, 128314, 128818, 128334, 129065, 128377, 128452, 47742, 129188, 133465, 128826, 128802, 138650, 85636, 71800, 293, 76294, 128250, 220, 17, 23, 13, 19, 17, 19, 129141, 624, 35544, 124382, 29974, 28776, 129054, 128761, 128387, 128301, 132645, 135149, 132601, 85636, 129664, 126370, 130179, 53037, 128821, 320, 77, 77354, 220, 17, 15, 16, 17, 129664, 220, 16, 11, 15, 20, 24, 129077, 6386, 11, 69086, 128270, 129054, 128761, 132645, 58701, 9586, 11, 259, 94365, 274, 6654, 259, 94365, 137118, 130595, 128949, 128465, 13, 1163, 644, 78228, 128704, 128675, 28776, 129054, 128761, 132645, 135149, 132601, 85636, 11, 28776, 220, 16, 23, 128704, 128675, 129664, 128273, 220, 16, 15, 13, 15, 15, 15, 6386, 320, 16719, 18934, 356, 6362, 386, 2863, 220, 18, 15, 15, 13, 20, 15, 15, 6386, 11, 425, 124904, 14511, 124634, 220, 16, 17, 21, 13, 24, 15, 15, 6386, 11, 29458, 27021, 15392, 524, 220, 16, 16, 21, 13, 16, 15, 15, 6386, 11, 328, 125877, 1163, 58597, 220, 21, 23, 13, 19, 15, 15, 6386, 568, 134360, 128375, 132601, 85636, 128290, 220, 17, 15, 16, 17, 220, 124603, 129664, 128273, 220, 20, 11, 22, 129077, 133270, 11, 2162, 78, 139831, 220, 17, 11, 20, 128568, 128290, 220, 16, 24, 24, 20, 11, 69086, 128270, 11, 85636, 128375, 23165, 2143, 133457, 128273, 220, 17, 11, 21, 129077, 133270, 11, 132645, 135149, 128273, 220, 18, 11, 16, 129077, 133270, 624, 40225, 1794, 37915, 128403, 128432, 128761, 129541, 47742, 129315, 128846, 624, 51, 4076, 128452, 11, 32154, 128271, 128290, 55784, 7777, 125202, 128415, 97610, 132601, 85636, 128529, 129528, 128542, 128884, 128250, 133061, 128368, 128949, 2162, 78, 320, 77, 77354, 220, 17, 15, 15, 23, 773, 128250, 128290, 220, 17, 15, 15, 15, 2162, 78, 139831, 128914, 220, 16, 23, 11, 24, 128568, 11, 128823, 129866, 220, 16, 128290, 128529, 220, 16, 21, 11, 21, 33871, 128344, 94576, 128290, 220, 17, 15, 15, 24, 128263, 308, 352, 79126, 28776, 128290, 128529, 11, 128290, 128757, 624, 51, 124504, 128368, 128529, 14, 128757, 55784, 7777, 125202, 128415, 97610, 132601, 85636, 128249, 65526, 128290, 128914, 128358, 13456, 568, 451, 8717, 125196, 65526, 88057, 25, 350, 1162, 42, 624, 51, 58506, 128338, 128273, 28776, 129031, 128310, 128269, 69086, 128301, 47742, 28776, 129031, 128310, 128269, 128301, 128703, 128400, 128285, 624, 132774, 69086, 128301, 11, 128289, 132645, 135149, 132601, 85636, 128320, 129233, 128639, 130909, 128265, 130498, 898, 26068, 968, 26, 128265, 128322, 128760, 128853, 128380, 79668, 128441, 129455, 131265, 52537, 11, 128265, 129374, 128441, 137329, 128507, 128453, 132601, 85636, 26, 128265, 130469, 47742, 128482, 128442, 132601, 85636, 13, 134360, 128375, 132601, 85636, 220, 19, 128526, 128278, 128290, 220, 17, 15, 16, 18, 129664, 220, 16, 11, 20, 21, 16, 129077, 133270, 11, 98127, 128529, 220, 15, 11, 24, 13384, 69086, 128270, 132645, 135149, 128757, 220, 17, 11, 22, 14360, 129016, 128327, 342, 1103, 653, 128309, 128757, 128475, 128639, 130909, 128265, 128415, 97610, 128317, 128289, 128575, 135364, 138117, 11, 137106, 14854, 125055, 128465, 128360, 28776, 128277, 129481, 128886, 59735, 78228, 129857, 11, 59735, 131538, 61758, 11, 59735, 129645, 128301, 624, 35544, 126201, 62572, 97610, 132601, 85636, 79668, 128751, 128871, 11, 128353, 128284, 79126, 128465, 320, 77, 77354, 220, 17, 15, 16, 17, 128914, 220, 21, 20, 20, 129077, 19551, 11, 220, 19, 128526, 128278, 128290, 220, 17, 15, 16, 18, 79126, 62572, 97610, 128273, 220, 16, 22, 18, 129077, 19551, 13, 133802, 129623, 128270, 11, 128289, 128826, 128802, 138650, 85636, 129233, 128639, 130909, 128265, 128327, 128861, 11, 128265, 458, 19550, 71, 128273, 130027, 13, 138458, 129916, 133637, 139901, 128492, 129589, 128263, 128575, 135364, 11, 128263, 129913, 129414, 59735, 132601, 85636, 128324, 29974, 11, 138585, 129087, 128282, 28776, 128277, 308, 71431, 128599, 59735, 128728, 128251, 11, 94576, 128251, 132645, 11, 128322, 128760, 128751, 128871, 47742, 128322, 922, 276, 129522, 128333, 345, 79759, 18934, 128490, 11, 128340, 128250, 128289, 128826, 128802, 11, 128347, 9450, 128320, 128360, 128282, 128788, 128589, 922, 276, 128396, 128263, 128289, 128417, 129067, 129738, 128994, 132601, 85636, 11, 128281, 37915, 128289, 128433, 129017, 128675, 129698, 7777, 18934, 129705, 128826, 128802, 128914, 293, 76294, 79668, 131282, 132247, 1853, 124382, 13, 133817, 128826, 128802, 71800, 293, 76294, 130544, 37915, 128427, 140996, 128465, 47742, 129315, 11, 128344, 128360, 130314, 2162, 78, 128423, 128432, 47742, 128417, 129551, 128289, 77374, 130344, 130498, 624, 132774, 128301, 128703, 11, 128265, 126260, 128331, 128415, 97610, 11, 128360, 23165, 2143, 133457, 126260, 128331, 128550, 128406, 28776, 141580, 128451, 128465, 11, 131282, 128419, 129916, 129623, 23686, 71, 128265, 128309, 79668, 129572, 128751, 128289, 129065, 128627, 129108, 128309, 11, 128826, 134375, 2162, 78, 11, 59735, 128301, 128760, 128272, 126199, 17275, 64, 133169, 128727, 129470, 128284, 79126, 128400, 128285, 128263, 128289, 132645, 58701, 9586, 11, 58701, 12789, 822, 13, 1163, 644, 78228, 128367, 129065, 128627, 129108, 128309, 11, 128322, 922, 276, 128502, 128365, 128268, 128360, 128266, 129398, 128622, 128580, 128456, 128265, 128336, 128380, 128324, 29974, 53037, 128627, 129108, 128309, 11, 126199, 128427, 129553, 653, 28776, 130483, 128314, 128265, 128327, 128861, 11, 129019, 130990, 11, 128334, 129065, 132645, 11, 128265, 128309, 128310, 62029, 130908, 11, 128265, 521, 5498, 16719, 130554, 331, 129181, 129427, 128309, 305, 87939, 125190, 124900, 47742, 129427, 128309, 128439, 279, 78, 128738, 296, 4284, 129509, 138051, 128320, 128465, 320, 6023, 51054, 128487, 128320, 128447, 220, 18, 128568, 11, 4292, 6217, 71, 132896, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387 ]
1,388
[ 40225, 39938, 128441, 294, 24015, 326, 124504, 11, 326, 124310, 922, 10302, 653, 129470, 132058, 130884, 14854, 51947, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 84137, 128534, 128484, 23165, 125641, 128727, 8943, 128373, 11, 78228, 129018, 11, 64061, 128974, 128427, 128285, 128456, 128441, 136733, 294, 24015, 326, 124504, 11, 326, 124310, 922, 10302, 11, 274, 124646, 326, 78820, 128750, 94994, 129838, 129470, 132058, 128273, 12100, 86882, 130215, 79126, 128818, 128350, 64061, 129470, 132058, 130884, 14854, 51947, 624, 785, 78, 92430, 128603, 59735, 1163, 2185, 128396, 133784, 128603, 20165, 2426, 129014, 663, 125992, 128683, 1163, 2185, 220, 85375, 11, 128688, 131969, 308, 352, 320, 16, 20, 14, 21, 701, 128249, 129838, 129470, 132058, 128273, 127980, 128978, 129181, 12100, 86882, 130215, 79126, 128818, 128350, 64061, 129470, 132058, 130884, 14854, 51947, 13, 472, 125058, 220, 19, 128626, 11, 128444, 128597, 128396, 129470, 132058, 130884, 14854, 51947, 128269, 128273, 127980, 128978, 129181, 12100, 86882, 130215, 13, 328, 94963, 135963, 128818, 128281, 128269, 129838, 128914, 128396, 129470, 132058, 130884, 14854, 51947, 128818, 128376, 220, 21, 320, 83, 94963, 37915, 94576, 220, 18, 24, 128263, 220, 19, 24, 13136, 128249, 128626, 701, 13535, 52885, 128376, 220, 22, 11, 128376, 220, 23, 13, 133784, 128603, 69086, 220, 17, 19, 128626, 128447, 11, 129470, 132058, 130884, 14854, 51947, 136402, 128260, 129530, 1853, 128830, 128475, 1853, 128830, 138117, 279, 78, 128846, 130951, 130726, 11, 129058, 128626, 73586, 63478, 129168, 220, 20, 13136, 13, 136146, 220, 19, 128626, 128300, 220, 16, 21, 14, 21, 11, 128444, 128597, 128396, 129470, 132058, 130884, 14854, 51947, 128269, 86139, 129168, 220, 16, 18, 128263, 220, 16, 19, 128368, 647, 124536, 130726, 26, 220, 16, 16, 17, 11, 20, 128263, 220, 16, 16, 18, 11, 20, 128368, 730, 20868, 130215, 11, 128273, 127980, 128978, 129181, 12100, 86882, 130215, 13, 328, 94963, 135963, 128818, 128281, 129838, 128914, 128396, 129470, 132058, 130884, 14854, 51947, 128818, 128376, 220, 21, 320, 83, 94963, 37915, 94576, 220, 18, 24, 128263, 220, 19, 24, 13136, 128249, 128626, 701, 13535, 52885, 128376, 220, 22, 11, 128376, 220, 23, 13, 3155, 128492, 129589, 59735, 129470, 132058, 130884, 14854, 51947, 128317, 127980, 128978, 129181, 12100, 86882, 130215, 28776, 135963, 128818, 128376, 220, 21, 11, 13535, 52885, 128376, 220, 22, 11, 128376, 220, 23, 13, 130676, 15122, 653, 128492, 129589, 128403, 128319, 128250, 128623, 128285, 59735, 135963, 130567, 130951, 29974, 128317, 127980, 128978, 29974, 12100, 86882, 130215, 320, 64841, 130068, 125440, 132543, 131638, 131431, 15854, 701, 129838, 130027, 94576, 129336, 35892, 72115, 128263, 356, 6362, 386, 2863, 28776, 135963, 128818, 128376, 220, 20, 11, 28776, 128730, 128376, 220, 21, 11, 13535, 52885, 128376, 220, 22, 47742, 28776, 136733, 294, 24015, 128818, 13, 1163, 644, 272, 67657, 294, 24015, 128360, 128456, 128441, 28776, 326, 124504, 97021, 1953, 88, 13, 130526, 128427, 128285, 128421, 142267, 128250, 128960, 128871, 59735, 129470, 132058, 130884, 14854, 51947, 47742, 128419, 128338, 128327, 128861, 7777, 4076, 131491, 128273, 130027, 127980, 128978, 129854, 29974, 130027, 130215, 11, 128688, 308, 352, 11, 22730, 132026, 128854, 132850, 129455, 326, 50483, 83, 293, 3413, 1163, 2185, 220, 85375, 481, 142394, 8943, 128494, 94995, 137328, 130158, 129156, 132864, 8943, 128373, 128534, 128484, 128456, 130097, 22730, 98127, 305, 4076, 393, 3140, 33, 47742, 44299, 28668, 78228, 129018, 11, 64061, 128974, 11208, 130027, 94576, 128521, 350, 125959, 128263, 29458, 27021, 15392, 524, 47742, 127980, 128978, 130951, 132019, 128531, 23165, 2143, 128249, 65526, 129414, 128367, 13, 356, 50483, 128254, 11, 128427, 128285, 128542, 133043, 11, 92430, 24790, 137288, 128327, 2600, 128427, 78228, 128675, 129698, 133465, 11, 143897, 128348, 128623, 128285, 128273, 130027, 128345, 128444, 128597, 11, 128960, 128871, 59735, 129470, 132058, 130884, 14854, 51947, 47742, 128419, 128338, 128327, 128861, 7777, 4076, 131491, 128273, 130027, 127980, 128978, 129854, 29974, 12100, 86882, 130215, 79668, 128427, 128285, 128441, 11, 131282, 11, 136122, 15122, 130553, 128475, 53037, 73586, 86139, 127980, 128978, 7777, 4076, 131491, 13, 129016, 78228, 137261, 128513, 128427, 128285, 128456, 128441, 136733, 294, 24015, 326, 124504, 11, 326, 124310, 922, 10302, 11, 274, 124646, 326, 78820, 128750, 79668, 129551, 128417, 458, 128401, 2600, 128251, 47742, 128556, 85636, 26, 141839, 132630, 128599, 128375, 11, 128675, 129698, 129156, 126469, 11, 129156, 132864, 11, 133691, 137968, 128740, 129156, 94994, 28776, 128498, 128451, 13, 139014, 279, 78, 1163, 2185, 128396, 126258, 128603, 20165, 2426, 129014, 663, 125992, 128683, 1163, 2185, 220, 85375, 11, 653, 78228, 129018, 133318, 130726, 128487, 129949, 128492, 129589, 59735, 435, 23531, 64, 131026, 16449, 129838, 129470, 132058, 131484, 129854, 130951, 128362, 128531, 47742, 129367, 129922, 134724, 128265, 129854, 131026, 16449, 11, 128317, 130535, 308, 352, 320, 16, 20, 14, 21, 701, 78228, 129018, 127980, 128978, 96535, 28776, 136583, 131484, 128273, 129054, 129922, 11, 131149, 129597, 28776, 136733, 435, 125017, 47742, 294, 24015, 131302, 128837, 13, 15392, 1794, 141567, 16449, 128376, 220, 18, 13, 128678, 129018, 130951, 132019, 47742, 29974, 129029, 128300, 136583, 11, 131149, 129597, 47742, 131571, 28776, 136733, 435, 125017, 47742, 294, 24015, 131302, 128837, 13, 356, 3441, 2350, 644, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 39938, 128441, 294, 24015, 326, 124504, 11, 326, 124310, 922, 10302, 653, 129470, 132058, 130884, 14854, 51947, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 84137, 128534, 128484, 23165, 125641, 128727, 8943, 128373, 11, 78228, 129018, 11, 64061, 128974, 128427, 128285, 128456, 128441, 136733, 294, 24015, 326, 124504, 11, 326, 124310, 922, 10302, 11, 274, 124646, 326, 78820, 128750, 94994, 129838, 129470, 132058, 128273, 12100, 86882, 130215, 79126, 128818, 128350, 64061, 129470, 132058, 130884, 14854, 51947, 624, 785, 78, 92430, 128603, 59735, 1163, 2185, 128396, 133784, 128603, 20165, 2426, 129014, 663, 125992, 128683, 1163, 2185, 220, 85375, 11, 128688, 131969, 308, 352, 320, 16, 20, 14, 21, 701, 128249, 129838, 129470, 132058, 128273, 127980, 128978, 129181, 12100, 86882, 130215, 79126, 128818, 128350, 64061, 129470, 132058, 130884, 14854, 51947, 13, 472, 125058, 220, 19, 128626, 11, 128444, 128597, 128396, 129470, 132058, 130884, 14854, 51947, 128269, 128273, 127980, 128978, 129181, 12100, 86882, 130215, 13, 328, 94963, 135963, 128818, 128281, 128269, 129838, 128914, 128396, 129470, 132058, 130884, 14854, 51947, 128818, 128376, 220, 21, 320, 83, 94963, 37915, 94576, 220, 18, 24, 128263, 220, 19, 24, 13136, 128249, 128626, 701, 13535, 52885, 128376, 220, 22, 11, 128376, 220, 23, 13, 133784, 128603, 69086, 220, 17, 19, 128626, 128447, 11, 129470, 132058, 130884, 14854, 51947, 136402, 128260, 129530, 1853, 128830, 128475, 1853, 128830, 138117, 279, 78, 128846, 130951, 130726, 11, 129058, 128626, 73586, 63478, 129168, 220, 20, 13136, 13, 136146, 220, 19, 128626, 128300, 220, 16, 21, 14, 21, 11, 128444, 128597, 128396, 129470, 132058, 130884, 14854, 51947, 128269, 86139, 129168, 220, 16, 18, 128263, 220, 16, 19, 128368, 647, 124536, 130726, 26, 220, 16, 16, 17, 11, 20, 128263, 220, 16, 16, 18, 11, 20, 128368, 730, 20868, 130215, 11, 128273, 127980, 128978, 129181, 12100, 86882, 130215, 13, 328, 94963, 135963, 128818, 128281, 129838, 128914, 128396, 129470, 132058, 130884, 14854, 51947, 128818, 128376, 220, 21, 320, 83, 94963, 37915, 94576, 220, 18, 24, 128263, 220, 19, 24, 13136, 128249, 128626, 701, 13535, 52885, 128376, 220, 22, 11, 128376, 220, 23, 13, 3155, 128492, 129589, 59735, 129470, 132058, 130884, 14854, 51947, 128317, 127980, 128978, 129181, 12100, 86882, 130215, 28776, 135963, 128818, 128376, 220, 21, 11, 13535, 52885, 128376, 220, 22, 11, 128376, 220, 23, 13, 130676, 15122, 653, 128492, 129589, 128403, 128319, 128250, 128623, 128285, 59735, 135963, 130567, 130951, 29974, 128317, 127980, 128978, 29974, 12100, 86882, 130215, 320, 64841, 130068, 125440, 132543, 131638, 131431, 15854, 701, 129838, 130027, 94576, 129336, 35892, 72115, 128263, 356, 6362, 386, 2863, 28776, 135963, 128818, 128376, 220, 20, 11, 28776, 128730, 128376, 220, 21, 11, 13535, 52885, 128376, 220, 22, 47742, 28776, 136733, 294, 24015, 128818, 13, 1163, 644, 272, 67657, 294, 24015, 128360, 128456, 128441, 28776, 326, 124504, 97021, 1953, 88, 13, 130526, 128427, 128285, 128421, 142267, 128250, 128960, 128871, 59735, 129470, 132058, 130884, 14854, 51947, 47742, 128419, 128338, 128327, 128861, 7777, 4076, 131491, 128273, 130027, 127980, 128978, 129854, 29974, 130027, 130215, 11, 128688, 308, 352, 11, 22730, 132026, 128854, 132850, 129455, 326, 50483, 83, 293, 3413, 1163, 2185, 220, 85375, 481, 142394, 8943, 128494, 94995, 137328, 130158, 129156, 132864, 8943, 128373, 128534, 128484, 128456, 130097, 22730, 98127, 305, 4076, 393, 3140, 33, 47742, 44299, 28668, 78228, 129018, 11, 64061, 128974, 11208, 130027, 94576, 128521, 350, 125959, 128263, 29458, 27021, 15392, 524, 47742, 127980, 128978, 130951, 132019, 128531, 23165, 2143, 128249, 65526, 129414, 128367, 13, 356, 50483, 128254, 11, 128427, 128285, 128542, 133043, 11, 92430, 24790, 137288, 128327, 2600, 128427, 78228, 128675, 129698, 133465, 11, 143897, 128348, 128623, 128285, 128273, 130027, 128345, 128444, 128597, 11, 128960, 128871, 59735, 129470, 132058, 130884, 14854, 51947, 47742, 128419, 128338, 128327, 128861, 7777, 4076, 131491, 128273, 130027, 127980, 128978, 129854, 29974, 12100, 86882, 130215, 79668, 128427, 128285, 128441, 11, 131282, 11, 136122, 15122, 130553, 128475, 53037, 73586, 86139, 127980, 128978, 7777, 4076, 131491, 13, 129016, 78228, 137261, 128513, 128427, 128285, 128456, 128441, 136733, 294, 24015, 326, 124504, 11, 326, 124310, 922, 10302, 11, 274, 124646, 326, 78820, 128750, 79668, 129551, 128417, 458, 128401, 2600, 128251, 47742, 128556, 85636, 26, 141839, 132630, 128599, 128375, 11, 128675, 129698, 129156, 126469, 11, 129156, 132864, 11, 133691, 137968, 128740, 129156, 94994, 28776, 128498, 128451, 13, 139014, 279, 78, 1163, 2185, 128396, 126258, 128603, 20165, 2426, 129014, 663, 125992, 128683, 1163, 2185, 220, 85375, 11, 653, 78228, 129018, 133318, 130726, 128487, 129949, 128492, 129589, 59735, 435, 23531, 64, 131026, 16449, 129838, 129470, 132058, 131484, 129854, 130951, 128362, 128531, 47742, 129367, 129922, 134724, 128265, 129854, 131026, 16449, 11, 128317, 130535, 308, 352, 320, 16, 20, 14, 21, 701, 78228, 129018, 127980, 128978, 96535, 28776, 136583, 131484, 128273, 129054, 129922, 11, 131149, 129597, 28776, 136733, 435, 125017, 47742, 294, 24015, 131302, 128837, 13, 15392, 1794, 141567, 16449, 128376, 220, 18, 13, 128678, 129018, 130951, 132019, 47742, 29974, 129029, 128300, 136583, 11, 131149, 129597, 47742, 131571, 28776, 136733, 435, 125017, 47742, 294, 24015, 131302, 128837, 13, 356, 3441, 2350, 644, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812 ]
813
[ 3357, 75050, 73525, 128327, 342, 1103, 128336, 128373, 220, 16, 23, 128526, 128272, 128453, 129972, 198, 20897, 85532, 28776, 128683, 128411, 128744, 130929, 128542, 922, 276, 128263, 379, 128384, 63478, 128376, 128475, 62029, 128370, 128272, 128324, 29974, 11, 128371, 94994, 63478, 128376, 128977, 98127, 128373, 132197, 128282, 73525, 128327, 342, 1103, 128336, 128373, 220, 16, 23, 128526, 128272, 128453, 129972, 11, 129972, 130693, 129156, 28776, 140744, 128453, 128421, 128250, 130103, 128916, 624, 33, 6362, 128984, 809, 70248, 320, 4239, 39, 9985, 8, 79126, 128418, 128386, 130103, 128916, 128907, 72067, 64, 13, 130232, 128290, 220, 17, 15, 16, 19, 11, 129302, 79126, 28776, 128327, 342, 1103, 220, 19, 128526, 128336, 128373, 131797, 11, 130489, 128453, 128685, 72067, 64, 128269, 128453, 129972, 362, 11, 32154, 128270, 129302, 131840, 128289, 69086, 220, 18, 128526, 47742, 128424, 128884, 128266, 128289, 128269, 128453, 129972, 425, 220, 16, 17, 128526, 624, 33, 6362, 809, 70248, 63478, 128322, 922, 276, 128427, 129270, 134603, 73586, 128292, 2162, 78, 128292, 128744, 129857, 128882, 130435, 130344, 128738, 220, 17, 128290, 11, 128906, 220, 17, 128290, 11, 129302, 85852, 128265, 128336, 128373, 128424, 128272, 128453, 129972, 425, 13, 132934, 809, 70248, 129087, 11, 129302, 128491, 128266, 128977, 98127, 128373, 132197, 128811, 129822, 128319, 128344, 128327, 342, 1103, 128336, 128373, 98127, 28776, 220, 16, 21, 128526, 128291, 129302, 28776, 128254, 128336, 128373, 130623, 39339, 128622, 220, 17, 128526, 128265, 128811, 72067, 64, 2600, 129078, 220, 16, 23, 128526, 53037, 11, 17669, 128282, 128336, 128373, 85852, 220, 16, 23, 128526, 94576, 128278, 5267, 53, 39938, 128580, 128456, 96535, 11, 129029, 809, 128384, 129477, 128814, 128260, 32154, 510, 785, 78, 126370, 128333, 128272, 141915, 264, 11, 730, 6161, 40707, 220, 16, 11, 130406, 220, 17, 19, 136786, 20165, 35234, 128453, 11, 130489, 128453, 25, 129639, 28776, 128683, 128411, 128744, 130929, 128542, 922, 276, 128263, 379, 128384, 63478, 128376, 128475, 62029, 128370, 128272, 128324, 29974, 11, 128371, 94994, 63478, 128376, 128977, 98127, 128373, 132197, 128282, 73525, 128327, 342, 1103, 128336, 128373, 220, 16, 23, 128526, 128272, 128453, 129972, 11, 129972, 130693, 129156, 28776, 140744, 128453, 128421, 128250, 130103, 128916, 624, 79759, 18934, 128490, 11, 128371, 94994, 73586, 128292, 2162, 78, 128292, 128882, 130435, 130344, 128738, 11, 129302, 79126, 128336, 128373, 220, 16, 21, 128526, 128272, 128453, 129972, 128265, 128744, 72067, 64, 128685, 72067, 64, 128317, 128651, 129078, 128334, 129065, 128265, 128327, 342, 1103, 128336, 128373, 79668, 63478, 128376, 128977, 98127, 128373, 132197, 128250, 130375, 3275, 128623, 128285, 128744, 130929, 37915, 131797, 128453, 11, 130489, 128453, 128744, 72067, 64, 128685, 72067, 64, 624, 785, 78, 126370, 128333, 128272, 141915, 272, 11, 730, 6161, 40707, 220, 16, 11, 130406, 220, 17, 24, 136786, 20165, 35234, 128453, 11, 130489, 128453, 910, 124656, 98127, 128373, 132197, 128279, 77374, 130344, 69086, 128331, 128319, 128251, 128373, 132197, 53037, 128373, 132197, 69086, 128327, 342, 1103, 220, 17, 128290, 128542, 128884, 13, 1163, 644, 128327, 342, 1103, 220, 17, 128290, 128292, 2162, 78, 128292, 128882, 130435, 130344, 128738, 11, 129302, 53037, 128424, 128884, 128336, 128373, 128265, 128744, 72067, 64, 128685, 13, 133958, 128490, 11, 79668, 63478, 128376, 128977, 98127, 128373, 132197, 128421, 128250, 130375, 3275, 128623, 128285, 128744, 130929, 131797, 128453, 11, 130489, 128453, 128744, 72067, 64, 128685, 72067, 64, 11, 129302, 128336, 128373, 85852, 47742, 129078, 220, 16, 23, 128526, 130291, 94576, 32154, 128300, 128403, 133600, 2162, 78, 128292, 128882, 130435, 130344, 128738, 624, 1143, 20868, 759, 84, 75157, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3357, 75050, 73525, 128327, 342, 1103, 128336, 128373, 220, 16, 23, 128526, 128272, 128453, 129972, 198, 20897, 85532, 28776, 128683, 128411, 128744, 130929, 128542, 922, 276, 128263, 379, 128384, 63478, 128376, 128475, 62029, 128370, 128272, 128324, 29974, 11, 128371, 94994, 63478, 128376, 128977, 98127, 128373, 132197, 128282, 73525, 128327, 342, 1103, 128336, 128373, 220, 16, 23, 128526, 128272, 128453, 129972, 11, 129972, 130693, 129156, 28776, 140744, 128453, 128421, 128250, 130103, 128916, 624, 33, 6362, 128984, 809, 70248, 320, 4239, 39, 9985, 8, 79126, 128418, 128386, 130103, 128916, 128907, 72067, 64, 13, 130232, 128290, 220, 17, 15, 16, 19, 11, 129302, 79126, 28776, 128327, 342, 1103, 220, 19, 128526, 128336, 128373, 131797, 11, 130489, 128453, 128685, 72067, 64, 128269, 128453, 129972, 362, 11, 32154, 128270, 129302, 131840, 128289, 69086, 220, 18, 128526, 47742, 128424, 128884, 128266, 128289, 128269, 128453, 129972, 425, 220, 16, 17, 128526, 624, 33, 6362, 809, 70248, 63478, 128322, 922, 276, 128427, 129270, 134603, 73586, 128292, 2162, 78, 128292, 128744, 129857, 128882, 130435, 130344, 128738, 220, 17, 128290, 11, 128906, 220, 17, 128290, 11, 129302, 85852, 128265, 128336, 128373, 128424, 128272, 128453, 129972, 425, 13, 132934, 809, 70248, 129087, 11, 129302, 128491, 128266, 128977, 98127, 128373, 132197, 128811, 129822, 128319, 128344, 128327, 342, 1103, 128336, 128373, 98127, 28776, 220, 16, 21, 128526, 128291, 129302, 28776, 128254, 128336, 128373, 130623, 39339, 128622, 220, 17, 128526, 128265, 128811, 72067, 64, 2600, 129078, 220, 16, 23, 128526, 53037, 11, 17669, 128282, 128336, 128373, 85852, 220, 16, 23, 128526, 94576, 128278, 5267, 53, 39938, 128580, 128456, 96535, 11, 129029, 809, 128384, 129477, 128814, 128260, 32154, 510, 785, 78, 126370, 128333, 128272, 141915, 264, 11, 730, 6161, 40707, 220, 16, 11, 130406, 220, 17, 19, 136786, 20165, 35234, 128453, 11, 130489, 128453, 25, 129639, 28776, 128683, 128411, 128744, 130929, 128542, 922, 276, 128263, 379, 128384, 63478, 128376, 128475, 62029, 128370, 128272, 128324, 29974, 11, 128371, 94994, 63478, 128376, 128977, 98127, 128373, 132197, 128282, 73525, 128327, 342, 1103, 128336, 128373, 220, 16, 23, 128526, 128272, 128453, 129972, 11, 129972, 130693, 129156, 28776, 140744, 128453, 128421, 128250, 130103, 128916, 624, 79759, 18934, 128490, 11, 128371, 94994, 73586, 128292, 2162, 78, 128292, 128882, 130435, 130344, 128738, 11, 129302, 79126, 128336, 128373, 220, 16, 21, 128526, 128272, 128453, 129972, 128265, 128744, 72067, 64, 128685, 72067, 64, 128317, 128651, 129078, 128334, 129065, 128265, 128327, 342, 1103, 128336, 128373, 79668, 63478, 128376, 128977, 98127, 128373, 132197, 128250, 130375, 3275, 128623, 128285, 128744, 130929, 37915, 131797, 128453, 11, 130489, 128453, 128744, 72067, 64, 128685, 72067, 64, 624, 785, 78, 126370, 128333, 128272, 141915, 272, 11, 730, 6161, 40707, 220, 16, 11, 130406, 220, 17, 24, 136786, 20165, 35234, 128453, 11, 130489, 128453, 910, 124656, 98127, 128373, 132197, 128279, 77374, 130344, 69086, 128331, 128319, 128251, 128373, 132197, 53037, 128373, 132197, 69086, 128327, 342, 1103, 220, 17, 128290, 128542, 128884, 13, 1163, 644, 128327, 342, 1103, 220, 17, 128290, 128292, 2162, 78, 128292, 128882, 130435, 130344, 128738, 11, 129302, 53037, 128424, 128884, 128336, 128373, 128265, 128744, 72067, 64, 128685, 13, 133958, 128490, 11, 79668, 63478, 128376, 128977, 98127, 128373, 132197, 128421, 128250, 130375, 3275, 128623, 128285, 128744, 130929, 131797, 128453, 11, 130489, 128453, 128744, 72067, 64, 128685, 72067, 64, 11, 129302, 128336, 128373, 85852, 47742, 129078, 220, 16, 23, 128526, 130291, 94576, 32154, 128300, 128403, 133600, 2162, 78, 128292, 128882, 130435, 130344, 128738, 624, 1143, 20868, 759, 84, 75157, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558 ]
559
[ 51, 58597, 132300, 129522, 9586, 7369, 4239, 137789, 136832, 132019, 14854, 11390, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 135997, 128704, 128675, 128273, 79126, 15122, 129866, 129522, 9586, 129067, 97832, 458, 128401, 128336, 79479, 47742, 139824, 128784, 129888, 128356, 134168, 78228, 128322, 128760, 3275, 130375, 79668, 128417, 129551, 7369, 4239, 137789, 136832, 132019, 14854, 11390, 15392, 125478, 16619, 41603, 624, 51, 37059, 129018, 451, 20868, 129336, 11, 69086, 128304, 220, 16, 130681, 13535, 125478, 136832, 132019, 14854, 11390, 11, 220, 18, 138120, 129522, 9586, 128542, 129857, 79126, 129263, 128373, 129522, 9586, 30650, 828, 4239, 128273, 128704, 129030, 220, 23, 14, 23, 131210, 11, 126260, 128847, 11, 64061, 128974, 128250, 129822, 65526, 220, 18, 15, 128322, 128760, 320, 376, 644, 128270, 220, 16, 19, 128322, 128760, 85636, 128415, 26, 220, 16, 18, 128322, 128760, 595, 20868, 653, 27924, 11, 220, 18, 128322, 128760, 128507, 128367, 128442, 130069, 8, 63478, 129522, 9586, 624, 34, 29341, 129675, 79126, 128362, 128283, 47742, 129888, 128356, 220, 16, 15, 128322, 128760, 3275, 130375, 320, 14604, 125770, 220, 18, 18, 11, 18, 4, 1215, 138675, 128515, 220, 24, 128322, 128760, 128250, 129822, 65526, 128515, 138675, 37915, 220, 16, 21, 13, 20, 15, 15, 13, 15, 15, 15, 50996, 26, 138675, 129111, 129410, 220, 16, 128322, 128760, 26, 131443, 77374, 220, 20, 15, 20972, 308, 6161, 132190, 11, 220, 18, 22, 20, 17806, 128301, 128486, 23165, 16685, 11, 220, 16, 19, 20972, 132710, 128907, 23645, 11, 220, 16, 18, 135974, 132710, 126370, 348, 124710, 53037, 129398, 129738, 134766, 128415, 134640, 26, 128575, 143010, 128272, 131501, 220, 20, 22, 20972, 595, 124635, 78, 293, 125342, 128459, 129572, 128353, 128284, 26, 135571, 128322, 128760, 128377, 128575, 143010, 220, 17, 17, 20972, 13535, 22190, 28776, 128353, 128284, 128877, 94995, 305, 88602, 279, 129703, 131579, 26, 47742, 135571, 128322, 128760, 132611, 128904, 128265, 342, 6023, 143702, 85636, 79479, 59735, 220, 17, 15, 15, 15, 139127, 128322, 76, 137297, 28776, 128811, 85536, 1562, 143702, 128651, 129315, 126370, 128333, 624, 45, 124489, 85536, 3275, 130375, 128427, 129553, 59735, 78228, 128322, 128760, 37915, 595, 20868, 653, 27924, 61758, 128336, 79479, 53037, 28776, 129738, 134766, 128415, 134640, 14, 7989, 71, 653, 27924, 61758, 62572, 326, 125285, 26, 53037, 128417, 129551, 128334, 129065, 128417, 129270, 7369, 4239, 279, 78, 126370, 128333, 11, 53037, 28776, 140288, 128977, 128370, 128322, 128760, 129078, 128334, 129065, 7369, 4239, 11, 128651, 131797, 128738, 129700, 47742, 128292, 128553, 128935, 128482, 128265, 7369, 4239, 129433, 129078, 279, 78, 126370, 128333, 11, 85636, 128415, 595, 20868, 653, 27924, 61758, 53037, 129551, 128417, 128380, 128375, 11, 61758, 128459, 129572, 128353, 128284, 624, 51, 124185, 128300, 220, 16, 19, 12, 17, 19, 14, 16, 14, 17, 15, 16, 19, 11, 129018, 328, 125877, 1163, 58597, 128268, 64061, 128980, 220, 18, 138120, 1091, 71, 9586, 11, 129522, 9586, 458, 128401, 128336, 79479, 128273, 128704, 129030, 220, 23, 131210, 11, 220, 17, 126260, 128847, 47742, 220, 16, 64061, 128974, 11, 129822, 65526, 128322, 128760, 1091, 71, 9586, 11, 129522, 9586, 37915, 220, 20, 23, 128322, 128760, 11, 69086, 128270, 28776, 220, 18, 22, 128322, 128760, 85636, 128415, 26, 220, 16, 23, 128322, 128760, 595, 20868, 653, 27924, 128336, 79479, 26, 220, 18, 128322, 128760, 128507, 128367, 128442, 130069, 13, 136909, 128432, 11, 78228, 129675, 1091, 71, 9586, 11, 129522, 9586, 79126, 129888, 128356, 3275, 130375, 128373, 128311, 220, 16, 21, 128322, 128760, 11, 65526, 128515, 138675, 25, 220, 18, 17, 13, 21, 20, 15, 13, 15, 15, 15, 128329, 624, 45, 124489, 85536, 3275, 130375, 128427, 129553, 59735, 78228, 128322, 128760, 37915, 53037, 128417, 129551, 7369, 4239, 69086, 128459, 128361, 85636, 128415, 26, 53037, 28776, 140288, 128977, 128370, 128322, 128760, 129078, 128334, 129065, 7369, 4239, 26, 128251, 1187, 78, 128285, 53037, 50196, 11, 131945, 489, 524, 128904, 128417, 126469, 1187, 78, 128285, 11, 53037, 130569, 131330, 128935, 128482, 7369, 4239, 279, 78, 126370, 128333, 26, 128353, 128284, 131826, 128977, 128370, 129078, 128738, 129700, 79126, 128906, 129572, 26, 342, 1103, 326, 72115, 128300, 85636, 128415, 128273, 143702, 85636, 79479, 11, 53037, 342, 6023, 128300, 85636, 128415, 128273, 143702, 85636, 79479, 624, 51, 37059, 129018, 29974, 140401, 11, 128401, 129018, 79126, 64061, 128980, 220, 17, 19, 17, 129675, 1091, 71, 11, 129522, 9586, 78228, 128376, 13, 128685, 85536, 129522, 9586, 128553, 489, 2185, 86139, 128421, 129014, 85636, 128415, 11, 595, 20868, 653, 27924, 128336, 79479, 7777, 4076, 128322, 128260, 25, 136138, 79479, 133683, 128480, 11, 128336, 79479, 94576, 134101, 11, 132710, 595, 124635, 78, 11, 128301, 128486, 23165, 16685, 11, 136288, 293, 685, 11, 78228, 128275, 61758, 128442, 130069, 47742, 78228, 72067, 61758, 129480, 141207, 128336, 79479, 624, 42, 51580, 128432, 11, 78228, 129675, 129522, 9586, 79126, 129522, 9586, 220, 16, 16, 13, 15, 15, 24, 128322, 128760, 85636, 128415, 11, 595, 20868, 653, 27924, 128336, 79479, 11, 69086, 128270, 28776, 220, 17, 22, 16, 128322, 128760, 53037, 129664, 13, 130017, 65526, 128515, 138675, 78228, 128322, 128760, 3275, 130375, 128265, 7369, 4239, 37915, 220, 16, 16, 11, 18, 129077, 128329, 11, 220, 16, 20, 128322, 128760, 128279, 128575, 143010, 85636, 79479, 47742, 128890, 98127, 128623, 128285, 220, 17, 128322, 128760, 624, 785, 78, 356, 92704, 7369, 4239, 320, 33, 37678, 809, 128384, 8, 79668, 131072, 128463, 128417, 129067, 128738, 129700, 59735, 128251, 128394, 11, 128608, 129623, 128289, 129522, 9586, 47742, 129888, 128356, 134168, 78228, 3275, 130375, 128265, 7369, 4239, 59735, 78228, 128322, 128760, 128507, 128367, 128442, 130069, 131763, 129572, 128751, 129597, 128907, 78228, 85636, 79479, 129276, 458, 128401, 647, 784, 47, 11, 33282, 138831, 30650, 828, 4239, 78228, 128704, 128675, 128360, 128424, 128884, 135593, 129045, 132175, 128871, 78228, 126370, 128333, 11, 128935, 128482, 128265, 7369, 4239, 2600, 128311, 128253, 128251, 128394, 79668, 126247, 128345, 11, 129061, 47742, 270, 352, 128726, 128373, 3275, 128846, 128447, 128353, 128284, 78228, 85636, 79479, 458, 128401, 624, 1001, 6654, 88, 128521, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 51, 58597, 132300, 129522, 9586, 7369, 4239, 137789, 136832, 132019, 14854, 11390, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 135997, 128704, 128675, 128273, 79126, 15122, 129866, 129522, 9586, 129067, 97832, 458, 128401, 128336, 79479, 47742, 139824, 128784, 129888, 128356, 134168, 78228, 128322, 128760, 3275, 130375, 79668, 128417, 129551, 7369, 4239, 137789, 136832, 132019, 14854, 11390, 15392, 125478, 16619, 41603, 624, 51, 37059, 129018, 451, 20868, 129336, 11, 69086, 128304, 220, 16, 130681, 13535, 125478, 136832, 132019, 14854, 11390, 11, 220, 18, 138120, 129522, 9586, 128542, 129857, 79126, 129263, 128373, 129522, 9586, 30650, 828, 4239, 128273, 128704, 129030, 220, 23, 14, 23, 131210, 11, 126260, 128847, 11, 64061, 128974, 128250, 129822, 65526, 220, 18, 15, 128322, 128760, 320, 376, 644, 128270, 220, 16, 19, 128322, 128760, 85636, 128415, 26, 220, 16, 18, 128322, 128760, 595, 20868, 653, 27924, 11, 220, 18, 128322, 128760, 128507, 128367, 128442, 130069, 8, 63478, 129522, 9586, 624, 34, 29341, 129675, 79126, 128362, 128283, 47742, 129888, 128356, 220, 16, 15, 128322, 128760, 3275, 130375, 320, 14604, 125770, 220, 18, 18, 11, 18, 4, 1215, 138675, 128515, 220, 24, 128322, 128760, 128250, 129822, 65526, 128515, 138675, 37915, 220, 16, 21, 13, 20, 15, 15, 13, 15, 15, 15, 50996, 26, 138675, 129111, 129410, 220, 16, 128322, 128760, 26, 131443, 77374, 220, 20, 15, 20972, 308, 6161, 132190, 11, 220, 18, 22, 20, 17806, 128301, 128486, 23165, 16685, 11, 220, 16, 19, 20972, 132710, 128907, 23645, 11, 220, 16, 18, 135974, 132710, 126370, 348, 124710, 53037, 129398, 129738, 134766, 128415, 134640, 26, 128575, 143010, 128272, 131501, 220, 20, 22, 20972, 595, 124635, 78, 293, 125342, 128459, 129572, 128353, 128284, 26, 135571, 128322, 128760, 128377, 128575, 143010, 220, 17, 17, 20972, 13535, 22190, 28776, 128353, 128284, 128877, 94995, 305, 88602, 279, 129703, 131579, 26, 47742, 135571, 128322, 128760, 132611, 128904, 128265, 342, 6023, 143702, 85636, 79479, 59735, 220, 17, 15, 15, 15, 139127, 128322, 76, 137297, 28776, 128811, 85536, 1562, 143702, 128651, 129315, 126370, 128333, 624, 45, 124489, 85536, 3275, 130375, 128427, 129553, 59735, 78228, 128322, 128760, 37915, 595, 20868, 653, 27924, 61758, 128336, 79479, 53037, 28776, 129738, 134766, 128415, 134640, 14, 7989, 71, 653, 27924, 61758, 62572, 326, 125285, 26, 53037, 128417, 129551, 128334, 129065, 128417, 129270, 7369, 4239, 279, 78, 126370, 128333, 11, 53037, 28776, 140288, 128977, 128370, 128322, 128760, 129078, 128334, 129065, 7369, 4239, 11, 128651, 131797, 128738, 129700, 47742, 128292, 128553, 128935, 128482, 128265, 7369, 4239, 129433, 129078, 279, 78, 126370, 128333, 11, 85636, 128415, 595, 20868, 653, 27924, 61758, 53037, 129551, 128417, 128380, 128375, 11, 61758, 128459, 129572, 128353, 128284, 624, 51, 124185, 128300, 220, 16, 19, 12, 17, 19, 14, 16, 14, 17, 15, 16, 19, 11, 129018, 328, 125877, 1163, 58597, 128268, 64061, 128980, 220, 18, 138120, 1091, 71, 9586, 11, 129522, 9586, 458, 128401, 128336, 79479, 128273, 128704, 129030, 220, 23, 131210, 11, 220, 17, 126260, 128847, 47742, 220, 16, 64061, 128974, 11, 129822, 65526, 128322, 128760, 1091, 71, 9586, 11, 129522, 9586, 37915, 220, 20, 23, 128322, 128760, 11, 69086, 128270, 28776, 220, 18, 22, 128322, 128760, 85636, 128415, 26, 220, 16, 23, 128322, 128760, 595, 20868, 653, 27924, 128336, 79479, 26, 220, 18, 128322, 128760, 128507, 128367, 128442, 130069, 13, 136909, 128432, 11, 78228, 129675, 1091, 71, 9586, 11, 129522, 9586, 79126, 129888, 128356, 3275, 130375, 128373, 128311, 220, 16, 21, 128322, 128760, 11, 65526, 128515, 138675, 25, 220, 18, 17, 13, 21, 20, 15, 13, 15, 15, 15, 128329, 624, 45, 124489, 85536, 3275, 130375, 128427, 129553, 59735, 78228, 128322, 128760, 37915, 53037, 128417, 129551, 7369, 4239, 69086, 128459, 128361, 85636, 128415, 26, 53037, 28776, 140288, 128977, 128370, 128322, 128760, 129078, 128334, 129065, 7369, 4239, 26, 128251, 1187, 78, 128285, 53037, 50196, 11, 131945, 489, 524, 128904, 128417, 126469, 1187, 78, 128285, 11, 53037, 130569, 131330, 128935, 128482, 7369, 4239, 279, 78, 126370, 128333, 26, 128353, 128284, 131826, 128977, 128370, 129078, 128738, 129700, 79126, 128906, 129572, 26, 342, 1103, 326, 72115, 128300, 85636, 128415, 128273, 143702, 85636, 79479, 11, 53037, 342, 6023, 128300, 85636, 128415, 128273, 143702, 85636, 79479, 624, 51, 37059, 129018, 29974, 140401, 11, 128401, 129018, 79126, 64061, 128980, 220, 17, 19, 17, 129675, 1091, 71, 11, 129522, 9586, 78228, 128376, 13, 128685, 85536, 129522, 9586, 128553, 489, 2185, 86139, 128421, 129014, 85636, 128415, 11, 595, 20868, 653, 27924, 128336, 79479, 7777, 4076, 128322, 128260, 25, 136138, 79479, 133683, 128480, 11, 128336, 79479, 94576, 134101, 11, 132710, 595, 124635, 78, 11, 128301, 128486, 23165, 16685, 11, 136288, 293, 685, 11, 78228, 128275, 61758, 128442, 130069, 47742, 78228, 72067, 61758, 129480, 141207, 128336, 79479, 624, 42, 51580, 128432, 11, 78228, 129675, 129522, 9586, 79126, 129522, 9586, 220, 16, 16, 13, 15, 15, 24, 128322, 128760, 85636, 128415, 11, 595, 20868, 653, 27924, 128336, 79479, 11, 69086, 128270, 28776, 220, 17, 22, 16, 128322, 128760, 53037, 129664, 13, 130017, 65526, 128515, 138675, 78228, 128322, 128760, 3275, 130375, 128265, 7369, 4239, 37915, 220, 16, 16, 11, 18, 129077, 128329, 11, 220, 16, 20, 128322, 128760, 128279, 128575, 143010, 85636, 79479, 47742, 128890, 98127, 128623, 128285, 220, 17, 128322, 128760, 624, 785, 78, 356, 92704, 7369, 4239, 320, 33, 37678, 809, 128384, 8, 79668, 131072, 128463, 128417, 129067, 128738, 129700, 59735, 128251, 128394, 11, 128608, 129623, 128289, 129522, 9586, 47742, 129888, 128356, 134168, 78228, 3275, 130375, 128265, 7369, 4239, 59735, 78228, 128322, 128760, 128507, 128367, 128442, 130069, 131763, 129572, 128751, 129597, 128907, 78228, 85636, 79479, 129276, 458, 128401, 647, 784, 47, 11, 33282, 138831, 30650, 828, 4239, 78228, 128704, 128675, 128360, 128424, 128884, 135593, 129045, 132175, 128871, 78228, 126370, 128333, 11, 128935, 128482, 128265, 7369, 4239, 2600, 128311, 128253, 128251, 128394, 79668, 126247, 128345, 11, 129061, 47742, 270, 352, 128726, 128373, 3275, 128846, 128447, 128353, 128284, 78228, 85636, 79479, 458, 128401, 624, 1001, 6654, 88, 128521, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958 ]
959
[ 46010, 45, 595, 20868, 653, 27924, 220, 19, 129857, 11, 132197, 128311, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 84137, 130406, 130554, 126778, 128502, 47742, 17275, 124646, 128285, 59735, 137408, 129675, 135601, 128599, 128324, 29974, 320, 46010, 45, 8, 128727, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 128272, 3406, 88, 51580, 128333, 220, 23, 20, 22, 45274, 40225, 9285, 51, 70, 128300, 220, 21, 14, 21, 14, 17, 15, 16, 16, 11, 137408, 129675, 595, 20868, 653, 27924, 220, 19, 129857, 132197, 128311, 624, 785, 78, 130406, 130554, 96535, 11, 14892, 45, 37915, 62029, 13580, 128850, 69086, 137408, 129675, 135601, 128599, 128494, 94995, 128324, 29974, 11, 63478, 126341, 128502, 129227, 128338, 128482, 62029, 13580, 30923, 23180, 128249, 64061, 97483, 653, 129645, 128301, 128266, 128427, 128760, 129347, 13, 647, 125044, 128334, 130554, 59735, 14892, 45, 128272, 128327, 128406, 128300, 220, 16, 14, 22, 14, 17, 15, 16, 15, 37915, 220, 22, 21, 13, 22, 19, 17, 129427, 128329, 13, 14892, 45, 128845, 134902, 128760, 128311, 128272, 65526, 220, 16, 23, 128974, 131479, 132019, 472, 128211, 11, 140515, 134129, 131053, 126778, 11, 132859, 17275, 88602, 29458, 125770, 11, 29070, 128521, 128685, 13, 386, 92704, 128575, 128623, 128285, 59735, 14892, 45, 128254, 128283, 129398, 73525, 220, 18, 128575, 128997, 25, 730, 20868, 653, 27924, 28776, 140694, 11, 128417, 128401, 47742, 128362, 128531, 130498, 128427, 128760, 129347, 128275, 128301, 128278, 128379, 128272, 14892, 45, 47742, 130498, 59735, 14892, 45, 128278, 128379, 86139, 78228, 653, 27924, 128386, 128354, 26, 129566, 39486, 129659, 489, 2185, 128396, 79668, 128362, 128531, 137408, 129675, 135601, 128599, 128494, 94995, 128324, 29974, 128907, 128760, 129347, 11, 69086, 128270, 128760, 129347, 128275, 128301, 37915, 25798, 131628, 26, 350, 87939, 128907, 128585, 128423, 128432, 128623, 128285, 59735, 137408, 129675, 135601, 128599, 128494, 94995, 128324, 29974, 13, 84137, 130406, 130554, 11, 14892, 45, 595, 20868, 653, 27924, 220, 19, 129857, 11, 132197, 128311, 130068, 25, 220, 16, 12, 134360, 128415, 11, 129045, 130897, 11, 129036, 131628, 47742, 595, 20868, 653, 27924, 296, 4284, 128627, 128484, 128365, 26, 98127, 305, 4076, 128334, 128373, 128457, 128573, 85636, 128415, 11, 129045, 130897, 11, 129036, 131628, 47742, 129036, 130623, 128484, 128365, 69086, 128457, 128573, 128484, 128664, 94995, 26, 220, 17, 12, 56414, 51358, 62572, 97610, 128484, 128365, 26, 220, 18, 12, 137720, 128379, 47742, 129270, 128356, 130498, 128278, 128379, 78228, 126258, 128595, 128484, 26, 220, 19, 12, 140428, 128356, 11, 129984, 128373, 11, 132038, 130489, 11, 128417, 129852, 11, 128479, 9765, 11, 131867, 128425, 11, 130314, 128376, 128422, 128279, 128484, 11, 62029, 128361, 128484, 11, 135863, 128990, 128484, 13, 130676, 78228, 129857, 11, 132197, 128273, 11, 14892, 45, 128320, 595, 20868, 653, 27924, 78228, 129857, 132197, 128354, 28776, 128542, 922, 276, 128260, 25, 56414, 51358, 62572, 97610, 128452, 88057, 11, 129031, 128853, 88057, 11, 128853, 128379, 128422, 128279, 129857, 128484, 26, 128943, 135765, 11, 133804, 129261, 135765, 128845, 128422, 128279, 128275, 128392, 128484, 11, 128422, 128279, 128448, 132625, 47742, 489, 125252, 128871, 129470, 11, 128422, 128279, 3275, 125115, 92430, 481, 62029, 128781, 92430, 24790, 1112, 140593, 20165, 524, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46010, 45, 595, 20868, 653, 27924, 220, 19, 129857, 11, 132197, 128311, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 84137, 130406, 130554, 126778, 128502, 47742, 17275, 124646, 128285, 59735, 137408, 129675, 135601, 128599, 128324, 29974, 320, 46010, 45, 8, 128727, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 128272, 3406, 88, 51580, 128333, 220, 23, 20, 22, 45274, 40225, 9285, 51, 70, 128300, 220, 21, 14, 21, 14, 17, 15, 16, 16, 11, 137408, 129675, 595, 20868, 653, 27924, 220, 19, 129857, 132197, 128311, 624, 785, 78, 130406, 130554, 96535, 11, 14892, 45, 37915, 62029, 13580, 128850, 69086, 137408, 129675, 135601, 128599, 128494, 94995, 128324, 29974, 11, 63478, 126341, 128502, 129227, 128338, 128482, 62029, 13580, 30923, 23180, 128249, 64061, 97483, 653, 129645, 128301, 128266, 128427, 128760, 129347, 13, 647, 125044, 128334, 130554, 59735, 14892, 45, 128272, 128327, 128406, 128300, 220, 16, 14, 22, 14, 17, 15, 16, 15, 37915, 220, 22, 21, 13, 22, 19, 17, 129427, 128329, 13, 14892, 45, 128845, 134902, 128760, 128311, 128272, 65526, 220, 16, 23, 128974, 131479, 132019, 472, 128211, 11, 140515, 134129, 131053, 126778, 11, 132859, 17275, 88602, 29458, 125770, 11, 29070, 128521, 128685, 13, 386, 92704, 128575, 128623, 128285, 59735, 14892, 45, 128254, 128283, 129398, 73525, 220, 18, 128575, 128997, 25, 730, 20868, 653, 27924, 28776, 140694, 11, 128417, 128401, 47742, 128362, 128531, 130498, 128427, 128760, 129347, 128275, 128301, 128278, 128379, 128272, 14892, 45, 47742, 130498, 59735, 14892, 45, 128278, 128379, 86139, 78228, 653, 27924, 128386, 128354, 26, 129566, 39486, 129659, 489, 2185, 128396, 79668, 128362, 128531, 137408, 129675, 135601, 128599, 128494, 94995, 128324, 29974, 128907, 128760, 129347, 11, 69086, 128270, 128760, 129347, 128275, 128301, 37915, 25798, 131628, 26, 350, 87939, 128907, 128585, 128423, 128432, 128623, 128285, 59735, 137408, 129675, 135601, 128599, 128494, 94995, 128324, 29974, 13, 84137, 130406, 130554, 11, 14892, 45, 595, 20868, 653, 27924, 220, 19, 129857, 11, 132197, 128311, 130068, 25, 220, 16, 12, 134360, 128415, 11, 129045, 130897, 11, 129036, 131628, 47742, 595, 20868, 653, 27924, 296, 4284, 128627, 128484, 128365, 26, 98127, 305, 4076, 128334, 128373, 128457, 128573, 85636, 128415, 11, 129045, 130897, 11, 129036, 131628, 47742, 129036, 130623, 128484, 128365, 69086, 128457, 128573, 128484, 128664, 94995, 26, 220, 17, 12, 56414, 51358, 62572, 97610, 128484, 128365, 26, 220, 18, 12, 137720, 128379, 47742, 129270, 128356, 130498, 128278, 128379, 78228, 126258, 128595, 128484, 26, 220, 19, 12, 140428, 128356, 11, 129984, 128373, 11, 132038, 130489, 11, 128417, 129852, 11, 128479, 9765, 11, 131867, 128425, 11, 130314, 128376, 128422, 128279, 128484, 11, 62029, 128361, 128484, 11, 135863, 128990, 128484, 13, 130676, 78228, 129857, 11, 132197, 128273, 11, 14892, 45, 128320, 595, 20868, 653, 27924, 78228, 129857, 132197, 128354, 28776, 128542, 922, 276, 128260, 25, 56414, 51358, 62572, 97610, 128452, 88057, 11, 129031, 128853, 88057, 11, 128853, 128379, 128422, 128279, 129857, 128484, 26, 128943, 135765, 11, 133804, 129261, 135765, 128845, 128422, 128279, 128275, 128392, 128484, 11, 128422, 128279, 128448, 132625, 47742, 489, 125252, 128871, 129470, 11, 128422, 128279, 3275, 125115, 92430, 481, 62029, 128781, 92430, 24790, 1112, 140593, 20165, 524, 624, 151645 ]
[ 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
[ 44819, 87939, 128290, 220, 17, 15, 16, 15, 11, 62029, 128888, 134143, 135303, 3845, 128717, 78228, 128704, 128675, 198, 7, 1143, 20868, 759, 84, 75157, 7287, 1163, 644, 129681, 7946, 14, 17, 15, 16, 15, 11, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128943, 128855, 11, 8943, 128373, 11, 62029, 128888, 128575, 128997, 128826, 128309, 11, 134143, 135303, 78228, 128322, 128760, 128507, 128367, 3845, 128717, 11, 85636, 79479, 3845, 128717, 47742, 129991, 128331, 3845, 128717, 279, 78, 129018, 11, 64061, 128974, 11, 129263, 128447, 129742, 128290, 220, 17, 15, 16, 15, 28776, 128254, 62029, 128888, 63478, 128403, 128432, 134143, 135303, 3845, 128717, 78228, 128704, 128675, 11, 128666, 128444, 198, 33, 37678, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128427, 132630, 131628, 128319, 128250, 129029, 134352, 129591, 47742, 78228, 129029, 11, 129857, 128542, 922, 276, 129582, 128403, 128531, 23165, 2143, 128336, 128283, 128311, 95082, 128265, 62029, 128400, 132242, 129263, 3845, 128717, 13, 130244, 37915, 129414, 128367, 63478, 133761, 130390, 131943, 128984, 59123, 51054, 133404, 11, 1163, 124886, 22730, 132026, 128854, 129645, 128301, 128265, 15687, 128717, 11, 342, 22516, 2600, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128336, 128283, 11, 69086, 129822, 128254, 78228, 129784, 128361, 11, 128456, 128595, 28776, 128439, 129121, 129572, 131763, 132668, 128818, 128362, 128531, 3845, 128717, 128664, 94995, 69086, 94995, 72, 130393, 128447, 13, 809, 124634, 128451, 78228, 129029, 11, 128704, 128675, 128542, 922, 276, 128573, 128281, 128249, 126370, 128333, 521, 2185, 128265, 128361, 128377, 11, 128799, 128884, 128415, 11, 62572, 129111, 320, 66, 21742, 128448, 61758, 53037, 11, 128448, 128366, 47742, 128448, 130027, 8, 128272, 129137, 97610, 128421, 128250, 128351, 3845, 128717, 128301, 128703, 86139, 128324, 29974, 270, 309, 922, 276, 11, 3845, 128717, 131763, 128666, 130631, 128585, 128799, 128884, 128373, 128311, 11, 133761, 130390, 131943, 2600, 130224, 128371, 128668, 11, 129470, 128284, 135863, 128406, 128336, 128283, 2600, 128351, 3845, 128717, 86139, 73525, 128448, 130027, 13, 133802, 129623, 128270, 37915, 128498, 128451, 128943, 128855, 11, 62029, 128888, 126370, 130361, 78228, 489, 2185, 128396, 296, 4284, 274, 125238, 128272, 78228, 128704, 128675, 11, 128281, 37915, 128272, 78228, 128550, 128406, 3845, 128717, 26, 126370, 128333, 128704, 128406, 11, 128328, 128482, 129270, 128356, 47742, 128334, 129065, 79668, 126341, 128502, 11, 58701, 128310, 129372, 128424, 128623, 128285, 128627, 61758, 129480, 132686, 128272, 78228, 128406, 3845, 128717, 11, 131368, 129414, 59735, 128311, 128918, 69086, 129270, 128356, 47742, 129888, 128356, 3275, 130375, 28675, 128965, 98127, 128854, 129705, 128254, 96535, 59735, 133761, 130390, 131943, 131763, 128486, 128784, 128253, 128633, 130569, 128320, 137106, 128272, 128283, 308, 352, 59735, 129857, 3845, 128717, 128260, 25, 130502, 128751, 128556, 126370, 128333, 11, 53037, 126370, 130361, 128401, 129054, 78228, 128406, 3845, 128717, 11, 128623, 128285, 128627, 61758, 129480, 132686, 128271, 128837, 128320, 130540, 77, 856, 37678, 77, 11, 128882, 129276, 131594, 922, 276, 13, 136138, 128384, 11, 131945, 129655, 128375, 128351, 3845, 128717, 128664, 128384, 86139, 128324, 29974, 69086, 128290, 220, 17, 15, 15, 24, 28776, 128757, 128344, 129822, 653, 27924, 77374, 59735, 129857, 128487, 128529, 129168, 220, 16, 15, 4, 773, 128250, 128290, 220, 17, 15, 15, 23, 11, 129664, 220, 22, 15, 13, 15, 15, 15, 129427, 128329, 13, 130244, 37915, 129234, 137827, 128465, 59735, 129857, 69086, 293, 87939, 129111, 128419, 128338, 3845, 128717, 128273, 128314, 128449, 913, 88, 128757, 13, 132496, 129528, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 131479, 142226, 663, 124933, 2600, 128345, 11, 128290, 220, 17, 15, 15, 24, 128268, 37915, 128290, 77374, 130862, 128278, 128379, 128301, 128703, 86139, 132122, 128978, 3845, 128717, 129664, 128403, 128432, 128761, 129541, 13, 130017, 65526, 130498, 128278, 128379, 128301, 128703, 129664, 128914, 220, 22, 11, 19, 126450, 19551, 13, 130406, 96535, 136732, 128333, 3845, 128717, 128324, 29974, 128487, 131768, 128653, 78228, 128275, 128278, 128379, 47742, 128267, 128570, 64061, 128406, 128263, 28776, 129363, 128365, 129623, 23686, 71, 2162, 78, 69086, 127980, 128978, 13, 2350, 124644, 129507, 132629, 390, 65526, 14854, 3165, 129168, 220, 18, 11, 23, 129077, 134628, 128351, 69086, 128290, 220, 17, 15, 15, 24, 11, 129857, 15687, 128717, 128845, 129203, 128575, 128290, 220, 17, 15, 16, 15, 14854, 3165, 129168, 220, 19, 11, 17, 129077, 134628, 128351, 128664, 128384, 47742, 220, 17, 23, 134628, 129077, 128351, 69086, 128301, 11, 653, 27924, 77374, 3845, 128717, 129664, 220, 19, 129427, 128263, 220, 19, 11, 20, 129427, 19551, 11, 128930, 129822, 85636, 79479, 3845, 128717, 128290, 220, 17, 15, 16, 15, 129664, 220, 20, 11, 18, 4, 29730, 13, 139014, 131763, 128531, 23165, 2143, 78228, 128431, 128935, 98127, 128854, 308, 124634, 128273, 59735, 133761, 130390, 131943, 129591, 130388, 11, 132496, 129528, 131479, 142226, 663, 124933, 2600, 128345, 11, 129857, 15687, 128717, 128267, 128278, 128379, 128943, 128855, 78228, 85636, 79479, 3845, 128717, 129831, 128319, 2600, 128981, 126260, 128331, 128664, 128384, 13, 128678, 85636, 79479, 3845, 128717, 130027, 131638, 11, 3845, 128717, 296, 88316, 131491, 11, 3845, 128717, 131797, 129108, 11, 78228, 7216, 3845, 128717, 128542, 129838, 11, 128542, 128664, 94995, 128267, 37915, 128550, 128396, 79668, 77374, 130862, 128351, 128664, 128384, 13, 135997, 128704, 128406, 3845, 128717, 59735, 128324, 29974, 128260, 2162, 78, 129031, 129411, 130717, 129126, 320, 39, 6362, 15392, 524, 701, 11122, 124761, 138270, 270, 524, 386, 14926, 356, 524, 910, 75050, 320, 56, 27021, 425, 124900, 8, 28776, 128738, 130862, 128465, 128250, 128351, 128664, 128384, 13, 133802, 129623, 128270, 11, 128290, 220, 17, 15, 16, 15, 11, 130017, 138831, 128267, 128553, 489, 2185, 128943, 128855, 142226, 136312, 128362, 128531, 3845, 128717, 128324, 29974, 128263, 220, 17, 15, 17, 15, 11, 134059, 128780, 128263, 220, 17, 15, 18, 15, 13, 479, 685, 11401, 320, 143505, 25, 129126, 128450, 65526, 220, 18, 21, 15, 16731, 33, 19625, 4872, 47, 4292, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 44819, 87939, 128290, 220, 17, 15, 16, 15, 11, 62029, 128888, 134143, 135303, 3845, 128717, 78228, 128704, 128675, 198, 7, 1143, 20868, 759, 84, 75157, 7287, 1163, 644, 129681, 7946, 14, 17, 15, 16, 15, 11, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128943, 128855, 11, 8943, 128373, 11, 62029, 128888, 128575, 128997, 128826, 128309, 11, 134143, 135303, 78228, 128322, 128760, 128507, 128367, 3845, 128717, 11, 85636, 79479, 3845, 128717, 47742, 129991, 128331, 3845, 128717, 279, 78, 129018, 11, 64061, 128974, 11, 129263, 128447, 129742, 128290, 220, 17, 15, 16, 15, 28776, 128254, 62029, 128888, 63478, 128403, 128432, 134143, 135303, 3845, 128717, 78228, 128704, 128675, 11, 128666, 128444, 198, 33, 37678, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128427, 132630, 131628, 128319, 128250, 129029, 134352, 129591, 47742, 78228, 129029, 11, 129857, 128542, 922, 276, 129582, 128403, 128531, 23165, 2143, 128336, 128283, 128311, 95082, 128265, 62029, 128400, 132242, 129263, 3845, 128717, 13, 130244, 37915, 129414, 128367, 63478, 133761, 130390, 131943, 128984, 59123, 51054, 133404, 11, 1163, 124886, 22730, 132026, 128854, 129645, 128301, 128265, 15687, 128717, 11, 342, 22516, 2600, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128336, 128283, 11, 69086, 129822, 128254, 78228, 129784, 128361, 11, 128456, 128595, 28776, 128439, 129121, 129572, 131763, 132668, 128818, 128362, 128531, 3845, 128717, 128664, 94995, 69086, 94995, 72, 130393, 128447, 13, 809, 124634, 128451, 78228, 129029, 11, 128704, 128675, 128542, 922, 276, 128573, 128281, 128249, 126370, 128333, 521, 2185, 128265, 128361, 128377, 11, 128799, 128884, 128415, 11, 62572, 129111, 320, 66, 21742, 128448, 61758, 53037, 11, 128448, 128366, 47742, 128448, 130027, 8, 128272, 129137, 97610, 128421, 128250, 128351, 3845, 128717, 128301, 128703, 86139, 128324, 29974, 270, 309, 922, 276, 11, 3845, 128717, 131763, 128666, 130631, 128585, 128799, 128884, 128373, 128311, 11, 133761, 130390, 131943, 2600, 130224, 128371, 128668, 11, 129470, 128284, 135863, 128406, 128336, 128283, 2600, 128351, 3845, 128717, 86139, 73525, 128448, 130027, 13, 133802, 129623, 128270, 37915, 128498, 128451, 128943, 128855, 11, 62029, 128888, 126370, 130361, 78228, 489, 2185, 128396, 296, 4284, 274, 125238, 128272, 78228, 128704, 128675, 11, 128281, 37915, 128272, 78228, 128550, 128406, 3845, 128717, 26, 126370, 128333, 128704, 128406, 11, 128328, 128482, 129270, 128356, 47742, 128334, 129065, 79668, 126341, 128502, 11, 58701, 128310, 129372, 128424, 128623, 128285, 128627, 61758, 129480, 132686, 128272, 78228, 128406, 3845, 128717, 11, 131368, 129414, 59735, 128311, 128918, 69086, 129270, 128356, 47742, 129888, 128356, 3275, 130375, 28675, 128965, 98127, 128854, 129705, 128254, 96535, 59735, 133761, 130390, 131943, 131763, 128486, 128784, 128253, 128633, 130569, 128320, 137106, 128272, 128283, 308, 352, 59735, 129857, 3845, 128717, 128260, 25, 130502, 128751, 128556, 126370, 128333, 11, 53037, 126370, 130361, 128401, 129054, 78228, 128406, 3845, 128717, 11, 128623, 128285, 128627, 61758, 129480, 132686, 128271, 128837, 128320, 130540, 77, 856, 37678, 77, 11, 128882, 129276, 131594, 922, 276, 13, 136138, 128384, 11, 131945, 129655, 128375, 128351, 3845, 128717, 128664, 128384, 86139, 128324, 29974, 69086, 128290, 220, 17, 15, 15, 24, 28776, 128757, 128344, 129822, 653, 27924, 77374, 59735, 129857, 128487, 128529, 129168, 220, 16, 15, 4, 773, 128250, 128290, 220, 17, 15, 15, 23, 11, 129664, 220, 22, 15, 13, 15, 15, 15, 129427, 128329, 13, 130244, 37915, 129234, 137827, 128465, 59735, 129857, 69086, 293, 87939, 129111, 128419, 128338, 3845, 128717, 128273, 128314, 128449, 913, 88, 128757, 13, 132496, 129528, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 131479, 142226, 663, 124933, 2600, 128345, 11, 128290, 220, 17, 15, 15, 24, 128268, 37915, 128290, 77374, 130862, 128278, 128379, 128301, 128703, 86139, 132122, 128978, 3845, 128717, 129664, 128403, 128432, 128761, 129541, 13, 130017, 65526, 130498, 128278, 128379, 128301, 128703, 129664, 128914, 220, 22, 11, 19, 126450, 19551, 13, 130406, 96535, 136732, 128333, 3845, 128717, 128324, 29974, 128487, 131768, 128653, 78228, 128275, 128278, 128379, 47742, 128267, 128570, 64061, 128406, 128263, 28776, 129363, 128365, 129623, 23686, 71, 2162, 78, 69086, 127980, 128978, 13, 2350, 124644, 129507, 132629, 390, 65526, 14854, 3165, 129168, 220, 18, 11, 23, 129077, 134628, 128351, 69086, 128290, 220, 17, 15, 15, 24, 11, 129857, 15687, 128717, 128845, 129203, 128575, 128290, 220, 17, 15, 16, 15, 14854, 3165, 129168, 220, 19, 11, 17, 129077, 134628, 128351, 128664, 128384, 47742, 220, 17, 23, 134628, 129077, 128351, 69086, 128301, 11, 653, 27924, 77374, 3845, 128717, 129664, 220, 19, 129427, 128263, 220, 19, 11, 20, 129427, 19551, 11, 128930, 129822, 85636, 79479, 3845, 128717, 128290, 220, 17, 15, 16, 15, 129664, 220, 20, 11, 18, 4, 29730, 13, 139014, 131763, 128531, 23165, 2143, 78228, 128431, 128935, 98127, 128854, 308, 124634, 128273, 59735, 133761, 130390, 131943, 129591, 130388, 11, 132496, 129528, 131479, 142226, 663, 124933, 2600, 128345, 11, 129857, 15687, 128717, 128267, 128278, 128379, 128943, 128855, 78228, 85636, 79479, 3845, 128717, 129831, 128319, 2600, 128981, 126260, 128331, 128664, 128384, 13, 128678, 85636, 79479, 3845, 128717, 130027, 131638, 11, 3845, 128717, 296, 88316, 131491, 11, 3845, 128717, 131797, 129108, 11, 78228, 7216, 3845, 128717, 128542, 129838, 11, 128542, 128664, 94995, 128267, 37915, 128550, 128396, 79668, 77374, 130862, 128351, 128664, 128384, 13, 135997, 128704, 128406, 3845, 128717, 59735, 128324, 29974, 128260, 2162, 78, 129031, 129411, 130717, 129126, 320, 39, 6362, 15392, 524, 701, 11122, 124761, 138270, 270, 524, 386, 14926, 356, 524, 910, 75050, 320, 56, 27021, 425, 124900, 8, 28776, 128738, 130862, 128465, 128250, 128351, 128664, 128384, 13, 133802, 129623, 128270, 11, 128290, 220, 17, 15, 16, 15, 11, 130017, 138831, 128267, 128553, 489, 2185, 128943, 128855, 142226, 136312, 128362, 128531, 3845, 128717, 128324, 29974, 128263, 220, 17, 15, 17, 15, 11, 134059, 128780, 128263, 220, 17, 15, 18, 15, 13, 479, 685, 11401, 320, 143505, 25, 129126, 128450, 65526, 220, 18, 21, 15, 16731, 33, 19625, 4872, 47, 4292, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931 ]
932
[ 3357, 5498, 129311, 64061, 97483, 73061, 8065, 129018, 129336, 140401, 11, 130717, 663, 125478, 47742, 131039, 130695, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 143958, 308, 352, 320, 16, 16, 14, 22, 701, 130390, 131943, 129591, 130388, 128784, 128333, 134634, 129311, 128289, 134311, 64061, 97483, 73061, 8065, 220, 18, 129018, 129336, 140401, 11, 130717, 663, 125478, 47742, 131039, 130695, 129414, 128880, 220, 17, 15, 16, 16, 12, 17, 15, 16, 21, 624, 9, 130390, 131943, 134634, 129311, 64061, 97483, 73061, 8065, 129018, 129336, 140401, 128260, 32154, 25, 130085, 131443, 73061, 8065, 129018, 37915, 128436, 131699, 143965, 444, 124510, 11, 133761, 134082, 129101, 350, 127845, 137930, 11, 129031, 130085, 131443, 73061, 8065, 129018, 129336, 140401, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 13, 128678, 133761, 130085, 131443, 130068, 25, 130798, 129785, 128494, 142840, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129031, 133761, 130085, 131443, 73061, 8065, 129018, 129336, 140401, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 26, 128436, 42256, 663, 27924, 663, 124933, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129031, 133761, 130085, 131443, 73061, 8065, 129018, 136929, 140401, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 26, 129302, 131479, 130934, 35892, 128521, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 137295, 133796, 133827, 730, 98661, 128292, 47742, 128534, 128781, 13, 128678, 142394, 97483, 73061, 8065, 129018, 129336, 140401, 130068, 25, 130798, 130597, 132644, 1527, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 137295, 133796, 128534, 458, 129018, 26, 128436, 128984, 132896, 92155, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 132026, 305, 4076, 129528, 129029, 132026, 305, 4076, 129866, 128277, 129018, 26, 128436, 1163, 85375, 663, 27924, 136909, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 910, 124415, 129126, 128441, 73061, 8065, 129018, 26, 128436, 131699, 129126, 92155, 11, 142394, 97483, 8943, 910, 124614, 128373, 134355, 128366, 129018, 11, 137295, 133796, 133827, 128685, 128367, 129018, 129336, 50327, 20868, 13, 353, 134914, 128250, 129018, 130717, 663, 125478, 11, 130390, 131943, 134634, 129311, 128436, 131699, 92155, 17275, 276, 11, 133761, 134082, 129101, 350, 127845, 137930, 11, 129031, 130085, 131443, 73061, 8065, 129018, 130717, 663, 125478, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 129566, 128502, 130085, 131443, 73061, 8065, 129018, 13, 220, 18, 133761, 130085, 131443, 73061, 8065, 129018, 37915, 128436, 128984, 129126, 130695, 11, 128436, 128984, 350, 61452, 130597, 47742, 129302, 131479, 130934, 131053, 11, 128582, 37915, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129031, 133761, 130085, 131443, 73061, 8065, 129018, 130717, 663, 125478, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 13, 128678, 142394, 97483, 73061, 8065, 129018, 130717, 663, 125478, 130068, 25, 130798, 128984, 92155, 35892, 124644, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 137295, 133796, 128534, 458, 129018, 26, 128436, 2350, 276, 130597, 29974, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 132026, 305, 4076, 129528, 129029, 132026, 305, 4076, 137833, 128277, 129018, 26, 128436, 128984, 129126, 131039, 11, 910, 124415, 129126, 128441, 73061, 8065, 129018, 26, 128436, 20165, 124411, 3406, 524, 142840, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 137295, 133796, 133827, 730, 26068, 130361, 47742, 137720, 128379, 129018, 130717, 663, 125478, 13, 353, 134914, 128250, 129018, 131039, 130695, 11, 130390, 131943, 134634, 129311, 128436, 128984, 386, 125092, 21018, 86882, 11, 133761, 134082, 129101, 350, 127845, 137930, 11, 129031, 130085, 131443, 73061, 8065, 129018, 131039, 130695, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 129566, 128502, 130085, 131443, 73061, 8065, 129018, 13, 128678, 133761, 130085, 131443, 130068, 25, 132934, 50327, 126011, 130934, 425, 125531, 130578, 11, 128436, 128984, 142741, 663, 125528, 11, 128582, 37915, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129031, 133761, 130085, 131443, 73061, 8065, 129018, 131039, 130695, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 26, 128436, 128984, 130695, 131053, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 137295, 133796, 133827, 730, 26068, 130361, 47742, 137720, 128379, 129018, 131039, 130695, 13, 128678, 142394, 97483, 73061, 8065, 129018, 131039, 130695, 130068, 25, 130798, 128984, 422, 4076, 132019, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 132026, 305, 4076, 129528, 129029, 132026, 305, 4076, 129866, 128277, 129018, 26, 128436, 425, 14926, 72, 386, 125285, 137833, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 137295, 133796, 128534, 458, 129018, 26, 128436, 128984, 129126, 3406, 26068, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 137295, 133796, 133827, 128685, 128367, 129018, 26, 128436, 130597, 42256, 20165, 85375, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 910, 124415, 129126, 128441, 73061, 8065, 129018, 131039, 130695, 13, 129938, 29974, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3357, 5498, 129311, 64061, 97483, 73061, 8065, 129018, 129336, 140401, 11, 130717, 663, 125478, 47742, 131039, 130695, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 143958, 308, 352, 320, 16, 16, 14, 22, 701, 130390, 131943, 129591, 130388, 128784, 128333, 134634, 129311, 128289, 134311, 64061, 97483, 73061, 8065, 220, 18, 129018, 129336, 140401, 11, 130717, 663, 125478, 47742, 131039, 130695, 129414, 128880, 220, 17, 15, 16, 16, 12, 17, 15, 16, 21, 624, 9, 130390, 131943, 134634, 129311, 64061, 97483, 73061, 8065, 129018, 129336, 140401, 128260, 32154, 25, 130085, 131443, 73061, 8065, 129018, 37915, 128436, 131699, 143965, 444, 124510, 11, 133761, 134082, 129101, 350, 127845, 137930, 11, 129031, 130085, 131443, 73061, 8065, 129018, 129336, 140401, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 13, 128678, 133761, 130085, 131443, 130068, 25, 130798, 129785, 128494, 142840, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129031, 133761, 130085, 131443, 73061, 8065, 129018, 129336, 140401, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 26, 128436, 42256, 663, 27924, 663, 124933, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129031, 133761, 130085, 131443, 73061, 8065, 129018, 136929, 140401, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 26, 129302, 131479, 130934, 35892, 128521, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 137295, 133796, 133827, 730, 98661, 128292, 47742, 128534, 128781, 13, 128678, 142394, 97483, 73061, 8065, 129018, 129336, 140401, 130068, 25, 130798, 130597, 132644, 1527, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 137295, 133796, 128534, 458, 129018, 26, 128436, 128984, 132896, 92155, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 132026, 305, 4076, 129528, 129029, 132026, 305, 4076, 129866, 128277, 129018, 26, 128436, 1163, 85375, 663, 27924, 136909, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 910, 124415, 129126, 128441, 73061, 8065, 129018, 26, 128436, 131699, 129126, 92155, 11, 142394, 97483, 8943, 910, 124614, 128373, 134355, 128366, 129018, 11, 137295, 133796, 133827, 128685, 128367, 129018, 129336, 50327, 20868, 13, 353, 134914, 128250, 129018, 130717, 663, 125478, 11, 130390, 131943, 134634, 129311, 128436, 131699, 92155, 17275, 276, 11, 133761, 134082, 129101, 350, 127845, 137930, 11, 129031, 130085, 131443, 73061, 8065, 129018, 130717, 663, 125478, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 129566, 128502, 130085, 131443, 73061, 8065, 129018, 13, 220, 18, 133761, 130085, 131443, 73061, 8065, 129018, 37915, 128436, 128984, 129126, 130695, 11, 128436, 128984, 350, 61452, 130597, 47742, 129302, 131479, 130934, 131053, 11, 128582, 37915, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129031, 133761, 130085, 131443, 73061, 8065, 129018, 130717, 663, 125478, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 13, 128678, 142394, 97483, 73061, 8065, 129018, 130717, 663, 125478, 130068, 25, 130798, 128984, 92155, 35892, 124644, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 137295, 133796, 128534, 458, 129018, 26, 128436, 2350, 276, 130597, 29974, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 132026, 305, 4076, 129528, 129029, 132026, 305, 4076, 137833, 128277, 129018, 26, 128436, 128984, 129126, 131039, 11, 910, 124415, 129126, 128441, 73061, 8065, 129018, 26, 128436, 20165, 124411, 3406, 524, 142840, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 137295, 133796, 133827, 730, 26068, 130361, 47742, 137720, 128379, 129018, 130717, 663, 125478, 13, 353, 134914, 128250, 129018, 131039, 130695, 11, 130390, 131943, 134634, 129311, 128436, 128984, 386, 125092, 21018, 86882, 11, 133761, 134082, 129101, 350, 127845, 137930, 11, 129031, 130085, 131443, 73061, 8065, 129018, 131039, 130695, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 129566, 128502, 130085, 131443, 73061, 8065, 129018, 13, 128678, 133761, 130085, 131443, 130068, 25, 132934, 50327, 126011, 130934, 425, 125531, 130578, 11, 128436, 128984, 142741, 663, 125528, 11, 128582, 37915, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 129031, 133761, 130085, 131443, 73061, 8065, 129018, 131039, 130695, 129414, 128880, 220, 17, 15, 15, 19, 12, 17, 15, 16, 16, 26, 128436, 128984, 130695, 131053, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 137295, 133796, 133827, 730, 26068, 130361, 47742, 137720, 128379, 129018, 131039, 130695, 13, 128678, 142394, 97483, 73061, 8065, 129018, 131039, 130695, 130068, 25, 130798, 128984, 422, 4076, 132019, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 132026, 305, 4076, 129528, 129029, 132026, 305, 4076, 129866, 128277, 129018, 26, 128436, 425, 14926, 72, 386, 125285, 137833, 11, 142394, 97483, 22730, 141948, 128367, 350, 127845, 137930, 11, 137295, 133796, 128534, 458, 129018, 26, 128436, 128984, 129126, 3406, 26068, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 137295, 133796, 133827, 128685, 128367, 129018, 26, 128436, 130597, 42256, 20165, 85375, 11, 142394, 97483, 22730, 910, 124614, 128373, 134355, 128366, 129018, 11, 910, 124415, 129126, 128441, 73061, 8065, 129018, 131039, 130695, 13, 129938, 29974, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802 ]
803
[ 40225, 37059, 128410, 61328, 141305, 128498, 128301, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129393, 128410, 61328, 141305, 128498, 128301, 128568, 128720, 220, 20, 47742, 132551, 132686, 220, 17, 20, 128290, 131160, 64061, 128980, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 79126, 63478, 126341, 128502, 128550, 128254, 128688, 220, 17, 14, 16, 17, 11, 128272, 128521, 128685, 624, 1143, 42504, 131443, 128301, 1163, 85375, 350, 124644, 50922, 128250, 78228, 128479, 129626, 126258, 129393, 128410, 13, 220, 126884, 16719, 25, 350, 22867, 71961, 624, 1143, 42504, 131443, 128301, 1163, 85375, 350, 124644, 50922, 26, 129031, 130017, 134082, 129101, 131699, 20165, 21742, 63813, 124634, 11, 451, 24015, 129938, 386, 125092, 26, 129031, 130085, 131443, 128301, 131479, 129938, 444, 85375, 11, 130085, 131443, 142394, 8943, 1163, 2185, 220, 85375, 386, 14903, 48, 128324, 29974, 128984, 59123, 51054, 133404, 11, 133761, 130390, 131943, 128984, 133361, 2350, 124411, 11, 1163, 124886, 22730, 422, 39392, 129984, 1163, 2185, 220, 85375, 128521, 130934, 730, 6023, 51580, 128447, 126258, 624, 51, 60257, 968, 134082, 129101, 128984, 130751, 142741, 11, 129031, 130017, 134082, 129101, 50327, 71431, 386, 85532, 11, 129031, 130085, 131443, 128301, 131699, 129938, 1527, 71, 11, 130085, 131443, 128494, 128410, 128984, 17632, 71, 472, 88771, 11, 129029, 129528, 129029, 128494, 128441, 12, 40225, 37059, 131943, 2350, 88771, 3406, 524, 663, 27924, 11, 1163, 124886, 22730, 350, 124527, 129023, 1163, 2185, 220, 85375, 50327, 20868, 131346, 21793, 1872, 71, 130506, 326, 126045, 968, 11386, 64, 521, 124411, 137098, 624, 20, 18, 15, 128479, 129626, 130483, 89218, 59735, 220, 21, 18, 129018, 11, 64061, 129935, 69086, 125440, 128301, 47742, 220, 19, 18, 129935, 272, 61031, 84, 129009, 9544, 71, 78228, 8943, 11, 128366, 11, 129857, 11, 129675, 128254, 1163, 2185, 220, 85375, 11, 128479, 129626, 272, 61031, 84, 129009, 9544, 71, 128324, 29974, 128272, 78228, 128301, 130215, 135285, 79126, 128265, 126258, 129393, 128410, 624, 33, 77689, 129410, 59735, 22730, 132677, 128373, 1163, 2185, 220, 85375, 129935, 653, 1163, 2185, 131943, 2350, 88771, 20165, 124431, 132719, 11, 133761, 130085, 131443, 129935, 128361, 135247, 2600, 128391, 220, 20, 128290, 73525, 11, 1319, 644, 489, 125017, 61328, 141305, 356, 61031, 84, 129009, 9544, 71, 139227, 129643, 59735, 129935, 79126, 128542, 128884, 128362, 128531, 11, 129922, 138028, 47742, 135268, 135584, 624, 79759, 125431, 128403, 128432, 59735, 1319, 644, 489, 125017, 61328, 141305, 220, 20, 128290, 73525, 79126, 131072, 128463, 922, 276, 128550, 86139, 129414, 128367, 128943, 128855, 47742, 272, 128042, 129234, 129935, 128300, 129357, 69086, 131560, 11, 135584, 128818, 26, 136732, 128333, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 856, 124656, 129861, 128250, 220, 23, 132870, 130180, 126199, 22730, 910, 124614, 128373, 1163, 2185, 220, 85375, 134355, 489, 3441, 133269, 1163, 2185, 64061, 11, 129675, 128403, 11, 139227, 129643, 11, 128726, 92105, 624, 40225, 70248, 308, 352, 11, 125440, 128301, 79126, 28776, 220, 16, 21, 13, 21, 15, 15, 126341, 128502, 128322, 128760, 129935, 47742, 220, 17, 11, 23, 129077, 128410, 97483, 11, 136402, 128906, 78228, 138757, 11, 128450, 11, 1031, 61452, 37915, 968, 128582, 28776, 25798, 129935, 11, 129036, 129935, 47742, 128553, 128319, 128304, 220, 16, 11, 17, 129077, 272, 61031, 84, 129866, 128310, 86139, 78228, 6976, 33, 272, 61031, 84, 129866, 128310, 624, 53, 51947, 128253, 64061, 128761, 79126, 129664, 63478, 69086, 220, 17, 20, 128290, 128943, 128855, 11, 129528, 64061, 47742, 1319, 644, 489, 125017, 61328, 141305, 356, 61031, 84, 129009, 9544, 71, 139227, 129643, 11, 220, 20, 128290, 73525, 11, 129935, 272, 61031, 84, 129009, 9544, 71, 128324, 29974, 79126, 348, 20868, 126258, 63478, 129645, 128301, 133269, 132720, 21793, 39392, 129784, 129785, 131868, 92155, 624, 40225, 70248, 126258, 129393, 128410, 11, 130085, 131443, 128301, 1163, 85375, 350, 124644, 50922, 136732, 128333, 220, 17, 20, 128290, 73525, 11, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 79126, 128623, 128285, 128761, 129541, 47742, 28776, 128423, 128432, 11, 128643, 64061, 128418, 128502, 128365, 11, 129414, 128367, 11, 128336, 128277, 128570, 64061, 128249, 129675, 128254, 128311, 128466, 6558, 3202, 128410, 135584, 128818, 11, 28776, 81900, 129913, 2162, 78, 47742, 128266, 128418, 39486, 129659, 128479, 129054, 2600, 128431, 128997, 47742, 128918, 128994, 59735, 272, 61031, 84, 129009, 9544, 71, 13, 479, 124551, 132726, 128250, 128459, 128361, 128362, 128531, 59735, 129935, 11, 1319, 644, 489, 125017, 61328, 141305, 356, 61031, 84, 129009, 9544, 71, 139227, 129643, 653, 129935, 128362, 128285, 11, 126341, 128502, 79126, 326, 124312, 135570, 63478, 131026, 131638, 132356, 128366, 11, 128410, 97483, 270, 309, 94995, 624, 34, 29341, 128376, 129935, 79126, 132668, 128818, 78228, 128623, 128285, 135593, 129045, 11, 129023, 129677, 129045, 128573, 128633, 127980, 51358, 11, 139824, 132300, 59735, 128394, 133952, 11, 128427, 129598, 128498, 128301, 11, 128356, 129608, 128328, 129461, 11, 79479, 128380, 128854, 138063, 11, 326, 87939, 128480, 2600, 128314, 128457, 128634, 26, 129057, 135343, 11, 128285, 97483, 1091, 71, 132883, 128980, 128672, 11, 128980, 128386, 11, 856, 2185, 130767, 128943, 128855, 47742, 128417, 129067, 126778, 128664, 13, 128965, 128403, 128432, 128623, 128285, 47742, 1319, 644, 489, 125017, 61328, 141305, 59735, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 37915, 128323, 129861, 489, 39392, 128550, 624, 1143, 42504, 131443, 128301, 137429, 128818, 69086, 128253, 128290, 128447, 11, 128419, 128338, 128314, 128449, 47742, 127980, 128978, 11, 23686, 71, 132677, 128427, 128918, 128269, 12100, 86882, 130215, 128267, 128320, 128271, 128960, 128871, 142244, 138628, 26, 69086, 128301, 11, 128253, 128327, 128322, 11, 131678, 128994, 47742, 128639, 130909, 11, 270, 53061, 128482, 92105, 14854, 276, 52165, 138618, 20303, 2863, 128267, 128400, 128285, 128263, 128728, 128387, 59735, 129169, 128480, 128847, 128410, 11, 128263, 62029, 128400, 128943, 128855, 47742, 128623, 128285, 59735, 129935, 624, 1143, 42504, 131443, 128301, 128456, 130097, 78228, 128376, 129935, 47742, 129058, 132356, 128366, 11, 128410, 97483, 128360, 133751, 2406, 124382, 47742, 128336, 128283, 134168, 89218, 66, 128379, 129608, 59735, 130085, 131443, 129785, 131868, 92155, 128265, 61328, 141305, 128498, 128301, 11, 78228, 130097, 128784, 11, 98127, 126260, 59735, 134355, 11, 128311, 95082, 128513, 129963, 128311, 95082, 59735, 129645, 128301, 128265, 62029, 128400, 61328, 141305, 11, 595, 12032, 132720, 11, 128266, 2600, 1319, 644, 489, 125017, 61328, 141305, 272, 61031, 84, 129009, 9544, 71, 139227, 129643, 59735, 129935, 128336, 128277, 37915, 128249, 1319, 644, 489, 125017, 129922, 138028, 11, 128425, 128285, 128599, 79668, 129058, 132356, 128366, 11, 128410, 97483, 128424, 128884, 128362, 305, 4076, 129045, 128573, 129029, 129188, 356, 50483, 129785, 11, 348, 18934, 67657, 128350, 128643, 64061, 128418, 128728, 129414, 128367, 63478, 342, 22516, 624, 34, 11390, 128366, 11, 128410, 97483, 128282, 28776, 128450, 132122, 128311, 128466, 135584, 130180, 128371, 128253, 128960, 128871, 142244, 138628, 11, 53037, 24775, 128285, 128371, 128253, 128639, 130909, 11, 130545, 128421, 24790, 129608, 86139, 128277, 131400, 128854, 59735, 134355, 26, 139227, 129643, 132677, 128373, 47742, 128761, 129541, 135593, 129045, 129984, 128285, 128310, 128394, 128336, 128283, 128418, 128448, 326, 87939, 11, 128427, 140996, 59735, 134355, 11, 128311, 95082, 11, 128513, 129963, 59735, 129645, 128301, 11, 128336, 128277, 37915, 131501, 126258, 64, 135584, 130052, 59735, 134355, 11, 129645, 128301, 47742, 128310, 128394, 624, 1143, 42504, 131443, 128301, 308, 124634, 129398, 1319, 644, 489, 125017, 61328, 141305, 59735, 129935, 128282, 128846, 86139, 128643, 64061, 128418, 129414, 128367, 128311, 128466, 13, 129935, 128360, 131628, 128319, 137277, 521, 124760, 128250, 140366, 130121, 126778, 128664, 128324, 29974, 47742, 78228, 129675, 128254, 128336, 128283, 128418, 126370, 128751, 128394, 128427, 128269, 128322, 128760, 11, 78228, 126370, 128751, 11, 126370, 128333, 59735, 129029, 129591, 128466, 320, 46788, 58875, 53243, 8, 128265, 133804, 129261, 47742, 131084, 137261, 128847, 128410, 11, 270, 309, 94995, 131072, 128431, 79668, 128943, 128855, 134355, 11, 128311, 128918, 69086, 131560, 11, 135584, 128818, 26, 136822, 1319, 644, 489, 125017, 61328, 141305, 356, 61031, 84, 129009, 9544, 71, 139227, 129643, 59735, 129935, 128250, 78228, 1319, 644, 489, 125017, 11, 78228, 128564, 129984, 128285, 59735, 125440, 128301, 11, 128281, 37915, 1319, 644, 489, 125017, 356, 21742, 128301, 521, 2185, 128738, 128943, 128855, 132234, 138757, 92105, 11, 128564, 129984, 128285, 2014, 88602, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 624, 30424, 78, 350, 22867, 71961, 4292, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 37059, 128410, 61328, 141305, 128498, 128301, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129393, 128410, 61328, 141305, 128498, 128301, 128568, 128720, 220, 20, 47742, 132551, 132686, 220, 17, 20, 128290, 131160, 64061, 128980, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 79126, 63478, 126341, 128502, 128550, 128254, 128688, 220, 17, 14, 16, 17, 11, 128272, 128521, 128685, 624, 1143, 42504, 131443, 128301, 1163, 85375, 350, 124644, 50922, 128250, 78228, 128479, 129626, 126258, 129393, 128410, 13, 220, 126884, 16719, 25, 350, 22867, 71961, 624, 1143, 42504, 131443, 128301, 1163, 85375, 350, 124644, 50922, 26, 129031, 130017, 134082, 129101, 131699, 20165, 21742, 63813, 124634, 11, 451, 24015, 129938, 386, 125092, 26, 129031, 130085, 131443, 128301, 131479, 129938, 444, 85375, 11, 130085, 131443, 142394, 8943, 1163, 2185, 220, 85375, 386, 14903, 48, 128324, 29974, 128984, 59123, 51054, 133404, 11, 133761, 130390, 131943, 128984, 133361, 2350, 124411, 11, 1163, 124886, 22730, 422, 39392, 129984, 1163, 2185, 220, 85375, 128521, 130934, 730, 6023, 51580, 128447, 126258, 624, 51, 60257, 968, 134082, 129101, 128984, 130751, 142741, 11, 129031, 130017, 134082, 129101, 50327, 71431, 386, 85532, 11, 129031, 130085, 131443, 128301, 131699, 129938, 1527, 71, 11, 130085, 131443, 128494, 128410, 128984, 17632, 71, 472, 88771, 11, 129029, 129528, 129029, 128494, 128441, 12, 40225, 37059, 131943, 2350, 88771, 3406, 524, 663, 27924, 11, 1163, 124886, 22730, 350, 124527, 129023, 1163, 2185, 220, 85375, 50327, 20868, 131346, 21793, 1872, 71, 130506, 326, 126045, 968, 11386, 64, 521, 124411, 137098, 624, 20, 18, 15, 128479, 129626, 130483, 89218, 59735, 220, 21, 18, 129018, 11, 64061, 129935, 69086, 125440, 128301, 47742, 220, 19, 18, 129935, 272, 61031, 84, 129009, 9544, 71, 78228, 8943, 11, 128366, 11, 129857, 11, 129675, 128254, 1163, 2185, 220, 85375, 11, 128479, 129626, 272, 61031, 84, 129009, 9544, 71, 128324, 29974, 128272, 78228, 128301, 130215, 135285, 79126, 128265, 126258, 129393, 128410, 624, 33, 77689, 129410, 59735, 22730, 132677, 128373, 1163, 2185, 220, 85375, 129935, 653, 1163, 2185, 131943, 2350, 88771, 20165, 124431, 132719, 11, 133761, 130085, 131443, 129935, 128361, 135247, 2600, 128391, 220, 20, 128290, 73525, 11, 1319, 644, 489, 125017, 61328, 141305, 356, 61031, 84, 129009, 9544, 71, 139227, 129643, 59735, 129935, 79126, 128542, 128884, 128362, 128531, 11, 129922, 138028, 47742, 135268, 135584, 624, 79759, 125431, 128403, 128432, 59735, 1319, 644, 489, 125017, 61328, 141305, 220, 20, 128290, 73525, 79126, 131072, 128463, 922, 276, 128550, 86139, 129414, 128367, 128943, 128855, 47742, 272, 128042, 129234, 129935, 128300, 129357, 69086, 131560, 11, 135584, 128818, 26, 136732, 128333, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 856, 124656, 129861, 128250, 220, 23, 132870, 130180, 126199, 22730, 910, 124614, 128373, 1163, 2185, 220, 85375, 134355, 489, 3441, 133269, 1163, 2185, 64061, 11, 129675, 128403, 11, 139227, 129643, 11, 128726, 92105, 624, 40225, 70248, 308, 352, 11, 125440, 128301, 79126, 28776, 220, 16, 21, 13, 21, 15, 15, 126341, 128502, 128322, 128760, 129935, 47742, 220, 17, 11, 23, 129077, 128410, 97483, 11, 136402, 128906, 78228, 138757, 11, 128450, 11, 1031, 61452, 37915, 968, 128582, 28776, 25798, 129935, 11, 129036, 129935, 47742, 128553, 128319, 128304, 220, 16, 11, 17, 129077, 272, 61031, 84, 129866, 128310, 86139, 78228, 6976, 33, 272, 61031, 84, 129866, 128310, 624, 53, 51947, 128253, 64061, 128761, 79126, 129664, 63478, 69086, 220, 17, 20, 128290, 128943, 128855, 11, 129528, 64061, 47742, 1319, 644, 489, 125017, 61328, 141305, 356, 61031, 84, 129009, 9544, 71, 139227, 129643, 11, 220, 20, 128290, 73525, 11, 129935, 272, 61031, 84, 129009, 9544, 71, 128324, 29974, 79126, 348, 20868, 126258, 63478, 129645, 128301, 133269, 132720, 21793, 39392, 129784, 129785, 131868, 92155, 624, 40225, 70248, 126258, 129393, 128410, 11, 130085, 131443, 128301, 1163, 85375, 350, 124644, 50922, 136732, 128333, 220, 17, 20, 128290, 73525, 11, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 79126, 128623, 128285, 128761, 129541, 47742, 28776, 128423, 128432, 11, 128643, 64061, 128418, 128502, 128365, 11, 129414, 128367, 11, 128336, 128277, 128570, 64061, 128249, 129675, 128254, 128311, 128466, 6558, 3202, 128410, 135584, 128818, 11, 28776, 81900, 129913, 2162, 78, 47742, 128266, 128418, 39486, 129659, 128479, 129054, 2600, 128431, 128997, 47742, 128918, 128994, 59735, 272, 61031, 84, 129009, 9544, 71, 13, 479, 124551, 132726, 128250, 128459, 128361, 128362, 128531, 59735, 129935, 11, 1319, 644, 489, 125017, 61328, 141305, 356, 61031, 84, 129009, 9544, 71, 139227, 129643, 653, 129935, 128362, 128285, 11, 126341, 128502, 79126, 326, 124312, 135570, 63478, 131026, 131638, 132356, 128366, 11, 128410, 97483, 270, 309, 94995, 624, 34, 29341, 128376, 129935, 79126, 132668, 128818, 78228, 128623, 128285, 135593, 129045, 11, 129023, 129677, 129045, 128573, 128633, 127980, 51358, 11, 139824, 132300, 59735, 128394, 133952, 11, 128427, 129598, 128498, 128301, 11, 128356, 129608, 128328, 129461, 11, 79479, 128380, 128854, 138063, 11, 326, 87939, 128480, 2600, 128314, 128457, 128634, 26, 129057, 135343, 11, 128285, 97483, 1091, 71, 132883, 128980, 128672, 11, 128980, 128386, 11, 856, 2185, 130767, 128943, 128855, 47742, 128417, 129067, 126778, 128664, 13, 128965, 128403, 128432, 128623, 128285, 47742, 1319, 644, 489, 125017, 61328, 141305, 59735, 129935, 356, 61031, 84, 129009, 9544, 71, 128324, 29974, 37915, 128323, 129861, 489, 39392, 128550, 624, 1143, 42504, 131443, 128301, 137429, 128818, 69086, 128253, 128290, 128447, 11, 128419, 128338, 128314, 128449, 47742, 127980, 128978, 11, 23686, 71, 132677, 128427, 128918, 128269, 12100, 86882, 130215, 128267, 128320, 128271, 128960, 128871, 142244, 138628, 26, 69086, 128301, 11, 128253, 128327, 128322, 11, 131678, 128994, 47742, 128639, 130909, 11, 270, 53061, 128482, 92105, 14854, 276, 52165, 138618, 20303, 2863, 128267, 128400, 128285, 128263, 128728, 128387, 59735, 129169, 128480, 128847, 128410, 11, 128263, 62029, 128400, 128943, 128855, 47742, 128623, 128285, 59735, 129935, 624, 1143, 42504, 131443, 128301, 128456, 130097, 78228, 128376, 129935, 47742, 129058, 132356, 128366, 11, 128410, 97483, 128360, 133751, 2406, 124382, 47742, 128336, 128283, 134168, 89218, 66, 128379, 129608, 59735, 130085, 131443, 129785, 131868, 92155, 128265, 61328, 141305, 128498, 128301, 11, 78228, 130097, 128784, 11, 98127, 126260, 59735, 134355, 11, 128311, 95082, 128513, 129963, 128311, 95082, 59735, 129645, 128301, 128265, 62029, 128400, 61328, 141305, 11, 595, 12032, 132720, 11, 128266, 2600, 1319, 644, 489, 125017, 61328, 141305, 272, 61031, 84, 129009, 9544, 71, 139227, 129643, 59735, 129935, 128336, 128277, 37915, 128249, 1319, 644, 489, 125017, 129922, 138028, 11, 128425, 128285, 128599, 79668, 129058, 132356, 128366, 11, 128410, 97483, 128424, 128884, 128362, 305, 4076, 129045, 128573, 129029, 129188, 356, 50483, 129785, 11, 348, 18934, 67657, 128350, 128643, 64061, 128418, 128728, 129414, 128367, 63478, 342, 22516, 624, 34, 11390, 128366, 11, 128410, 97483, 128282, 28776, 128450, 132122, 128311, 128466, 135584, 130180, 128371, 128253, 128960, 128871, 142244, 138628, 11, 53037, 24775, 128285, 128371, 128253, 128639, 130909, 11, 130545, 128421, 24790, 129608, 86139, 128277, 131400, 128854, 59735, 134355, 26, 139227, 129643, 132677, 128373, 47742, 128761, 129541, 135593, 129045, 129984, 128285, 128310, 128394, 128336, 128283, 128418, 128448, 326, 87939, 11, 128427, 140996, 59735, 134355, 11, 128311, 95082, 11, 128513, 129963, 59735, 129645, 128301, 11, 128336, 128277, 37915, 131501, 126258, 64, 135584, 130052, 59735, 134355, 11, 129645, 128301, 47742, 128310, 128394, 624, 1143, 42504, 131443, 128301, 308, 124634, 129398, 1319, 644, 489, 125017, 61328, 141305, 59735, 129935, 128282, 128846, 86139, 128643, 64061, 128418, 129414, 128367, 128311, 128466, 13, 129935, 128360, 131628, 128319, 137277, 521, 124760, 128250, 140366, 130121, 126778, 128664, 128324, 29974, 47742, 78228, 129675, 128254, 128336, 128283, 128418, 126370, 128751, 128394, 128427, 128269, 128322, 128760, 11, 78228, 126370, 128751, 11, 126370, 128333, 59735, 129029, 129591, 128466, 320, 46788, 58875, 53243, 8, 128265, 133804, 129261, 47742, 131084, 137261, 128847, 128410, 11, 270, 309, 94995, 131072, 128431, 79668, 128943, 128855, 134355, 11, 128311, 128918, 69086, 131560, 11, 135584, 128818, 26, 136822, 1319, 644, 489, 125017, 61328, 141305, 356, 61031, 84, 129009, 9544, 71, 139227, 129643, 59735, 129935, 128250, 78228, 1319, 644, 489, 125017, 11, 78228, 128564, 129984, 128285, 59735, 125440, 128301, 11, 128281, 37915, 1319, 644, 489, 125017, 356, 21742, 128301, 521, 2185, 128738, 128943, 128855, 132234, 138757, 92105, 11, 128564, 129984, 128285, 2014, 88602, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 624, 30424, 78, 350, 22867, 71961, 4292, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323 ]
1,324
[ 34, 2185, 128376, 92430, 24790, 128904, 128367, 129270, 128356, 129913, 128284, 128421, 128250, 128292, 97832, 11, 97832, 97483, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 129029, 133218, 129677, 1365, 50327, 125017, 128425, 47742, 129029, 444, 3441, 128285, 1365, 137048, 9544, 71, 47742, 1599, 3202, 128410, 128727, 8943, 128373, 130303, 128379, 128542, 131443, 128846, 128653, 128322, 128751, 131628, 128319, 272, 2185, 128376, 92430, 24790, 2600, 1163, 524, 92430, 24790, 128484, 128804, 1036, 53, 352, 130498, 73586, 128292, 9336, 128904, 128367, 129270, 128356, 62029, 128400, 129913, 128284, 128421, 128250, 128292, 97832, 11, 97832, 97483, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 785, 78, 128270, 11, 128322, 128760, 129023, 129677, 11, 128322, 128760, 132856, 132197, 272, 2185, 128376, 98896, 95082, 128292, 97832, 11, 97832, 97483, 28776, 141580, 128451, 348, 352, 130498, 79126, 63478, 128322, 128760, 129023, 129677, 11, 128322, 128760, 132856, 132197, 128376, 140288, 129207, 128370, 11, 272, 2185, 128376, 78228, 92430, 24790, 128265, 130889, 128292, 128812, 47742, 128283, 129916, 128292, 128553, 59735, 128292, 97832, 11, 97832, 97483, 129281, 128421, 129014, 63478, 348, 352, 130498, 624, 40225, 124483, 128327, 11, 128322, 128760, 129023, 129677, 11, 128322, 128760, 132856, 132197, 272, 2185, 128376, 11, 130569, 131330, 128495, 130361, 15122, 128331, 59735, 78228, 131774, 128292, 11, 272, 2185, 128376, 98896, 95082, 128292, 97832, 11, 97832, 97483, 128418, 128386, 15122, 128331, 79668, 128904, 128367, 2600, 128289, 130569, 131330, 92430, 24790, 128265, 129270, 128356, 130498, 348, 352, 624, 1282, 77869, 128319, 128292, 97832, 11, 97832, 97483, 128348, 128320, 136525, 138178, 79126, 63478, 78228, 653, 27924, 128386, 11, 128322, 922, 276, 128370, 86139, 128266, 128289, 128291, 78228, 128322, 922, 276, 131628, 128319, 128360, 130569, 131330, 137288, 128327, 78228, 92430, 24790, 128542, 922, 276, 128263, 128292, 97832, 11, 97832, 97483, 96535, 79668, 128904, 128367, 62029, 128400, 129270, 128356, 47742, 9586, 129156, 134897, 88057, 624, 39, 70680, 129582, 128484, 128804, 129270, 128356, 129913, 128284, 128292, 97832, 11, 97832, 97483, 293, 3441, 130068, 78228, 92430, 24790, 25, 130303, 24790, 128265, 128292, 97832, 11, 97832, 97483, 320, 39, 41603, 47742, 129064, 26, 137017, 65526, 2687, 27607, 137118, 97832, 97483, 11, 130192, 11, 72067, 64, 11, 131774, 128292, 11, 128331, 1112, 1215, 130303, 24790, 128265, 126469, 94995, 128890, 320, 39, 41603, 47742, 129064, 128427, 126469, 348, 352, 130498, 11, 128704, 98127, 128542, 128457, 1215, 130303, 24790, 128542, 922, 276, 128263, 130042, 348, 352, 320, 20897, 53022, 348, 352, 11, 128300, 128263, 129572, 129477, 138178, 11, 138737, 61758, 129591, 95082, 128847, 128410, 128376, 131210, 128837, 2600, 348, 352, 11, 129240, 348, 352, 11, 65526, 128515, 79126, 348, 352, 11, 65526, 128515, 134766, 79126, 129477, 11, 65526, 128515, 140694, 79126, 129477, 11, 136525, 138178, 128283, 128272, 11, 129916, 131860, 138178, 4292, 34, 29341, 653, 27924, 128386, 11, 128666, 128444, 128353, 128284, 1187, 78, 128285, 128348, 128320, 136525, 138178, 129913, 128284, 128292, 97832, 11, 97832, 97483, 11, 94994, 132677, 128370, 129122, 129582, 856, 258, 128289, 11, 128275, 131535, 128284, 128498, 128451, 78228, 92430, 24790, 128265, 128289, 128292, 97832, 11, 97832, 97483, 28776, 348, 352, 130498, 129913, 128284, 128292, 97832, 11, 97832, 97483, 17669, 53037, 13, 3406, 64, 1319, 85142, 968, 128580, 128475, 129207, 1308, 71, 128273, 1163, 524, 92430, 24790, 128484, 128804, 647, 352, 130498, 73586, 128292, 11, 128640, 128292, 97832, 11, 97832, 97483, 79126, 348, 352, 130498, 47742, 128283, 128320, 136525, 138178, 11, 128275, 131535, 128284, 128498, 128451, 128292, 97832, 11, 97832, 97483, 272, 2185, 128376, 128622, 92430, 24790, 128265, 129064, 130192, 128292, 11, 72067, 64, 11, 131774, 128292, 11, 129064, 128322, 128760, 129023, 129677, 11, 128322, 128760, 132856, 132197, 94994, 348, 352, 130498, 624, 50, 2863, 94994, 1187, 78, 128285, 63478, 131535, 128284, 11, 128275, 131535, 128284, 130506, 92430, 128603, 128350, 1163, 524, 92430, 24790, 128484, 128804, 647, 352, 130498, 73586, 128292, 78228, 92430, 24790, 128265, 128275, 131535, 128284, 11, 98896, 95082, 128253, 1187, 78, 128285, 59735, 128666, 128444, 128312, 47742, 128419, 129916, 138178, 130498, 348, 352, 129913, 128284, 128292, 97832, 11, 97832, 97483, 128421, 128250, 65526, 1187, 78, 128285, 96535, 624, 79759, 6362, 131535, 128284, 128475, 128251, 1187, 78, 128285, 94994, 129477, 138178, 128515, 348, 352, 2600, 138737, 61758, 129591, 95082, 128847, 128410, 11, 78228, 92430, 24790, 128265, 136525, 138178, 59735, 128292, 97832, 11, 97832, 97483, 128267, 63478, 342, 6023, 128370, 86139, 128463, 131328, 47742, 128267, 63478, 128329, 128366, 128250, 128322, 128760, 134897, 88057, 59735, 131538, 61758, 129591, 95082, 128847, 128410, 47742, 92430, 24790, 128273, 1163, 524, 92430, 24790, 128484, 128804, 647, 352, 130498, 73586, 128292, 624, 98041, 128379, 28776, 128423, 128599, 61328, 128373, 130291, 94576, 128300, 220, 20, 14, 21, 14, 17, 15, 16, 17, 624, 26067, 71, 1163, 124411, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34, 2185, 128376, 92430, 24790, 128904, 128367, 129270, 128356, 129913, 128284, 128421, 128250, 128292, 97832, 11, 97832, 97483, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 129029, 133218, 129677, 1365, 50327, 125017, 128425, 47742, 129029, 444, 3441, 128285, 1365, 137048, 9544, 71, 47742, 1599, 3202, 128410, 128727, 8943, 128373, 130303, 128379, 128542, 131443, 128846, 128653, 128322, 128751, 131628, 128319, 272, 2185, 128376, 92430, 24790, 2600, 1163, 524, 92430, 24790, 128484, 128804, 1036, 53, 352, 130498, 73586, 128292, 9336, 128904, 128367, 129270, 128356, 62029, 128400, 129913, 128284, 128421, 128250, 128292, 97832, 11, 97832, 97483, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 785, 78, 128270, 11, 128322, 128760, 129023, 129677, 11, 128322, 128760, 132856, 132197, 272, 2185, 128376, 98896, 95082, 128292, 97832, 11, 97832, 97483, 28776, 141580, 128451, 348, 352, 130498, 79126, 63478, 128322, 128760, 129023, 129677, 11, 128322, 128760, 132856, 132197, 128376, 140288, 129207, 128370, 11, 272, 2185, 128376, 78228, 92430, 24790, 128265, 130889, 128292, 128812, 47742, 128283, 129916, 128292, 128553, 59735, 128292, 97832, 11, 97832, 97483, 129281, 128421, 129014, 63478, 348, 352, 130498, 624, 40225, 124483, 128327, 11, 128322, 128760, 129023, 129677, 11, 128322, 128760, 132856, 132197, 272, 2185, 128376, 11, 130569, 131330, 128495, 130361, 15122, 128331, 59735, 78228, 131774, 128292, 11, 272, 2185, 128376, 98896, 95082, 128292, 97832, 11, 97832, 97483, 128418, 128386, 15122, 128331, 79668, 128904, 128367, 2600, 128289, 130569, 131330, 92430, 24790, 128265, 129270, 128356, 130498, 348, 352, 624, 1282, 77869, 128319, 128292, 97832, 11, 97832, 97483, 128348, 128320, 136525, 138178, 79126, 63478, 78228, 653, 27924, 128386, 11, 128322, 922, 276, 128370, 86139, 128266, 128289, 128291, 78228, 128322, 922, 276, 131628, 128319, 128360, 130569, 131330, 137288, 128327, 78228, 92430, 24790, 128542, 922, 276, 128263, 128292, 97832, 11, 97832, 97483, 96535, 79668, 128904, 128367, 62029, 128400, 129270, 128356, 47742, 9586, 129156, 134897, 88057, 624, 39, 70680, 129582, 128484, 128804, 129270, 128356, 129913, 128284, 128292, 97832, 11, 97832, 97483, 293, 3441, 130068, 78228, 92430, 24790, 25, 130303, 24790, 128265, 128292, 97832, 11, 97832, 97483, 320, 39, 41603, 47742, 129064, 26, 137017, 65526, 2687, 27607, 137118, 97832, 97483, 11, 130192, 11, 72067, 64, 11, 131774, 128292, 11, 128331, 1112, 1215, 130303, 24790, 128265, 126469, 94995, 128890, 320, 39, 41603, 47742, 129064, 128427, 126469, 348, 352, 130498, 11, 128704, 98127, 128542, 128457, 1215, 130303, 24790, 128542, 922, 276, 128263, 130042, 348, 352, 320, 20897, 53022, 348, 352, 11, 128300, 128263, 129572, 129477, 138178, 11, 138737, 61758, 129591, 95082, 128847, 128410, 128376, 131210, 128837, 2600, 348, 352, 11, 129240, 348, 352, 11, 65526, 128515, 79126, 348, 352, 11, 65526, 128515, 134766, 79126, 129477, 11, 65526, 128515, 140694, 79126, 129477, 11, 136525, 138178, 128283, 128272, 11, 129916, 131860, 138178, 4292, 34, 29341, 653, 27924, 128386, 11, 128666, 128444, 128353, 128284, 1187, 78, 128285, 128348, 128320, 136525, 138178, 129913, 128284, 128292, 97832, 11, 97832, 97483, 11, 94994, 132677, 128370, 129122, 129582, 856, 258, 128289, 11, 128275, 131535, 128284, 128498, 128451, 78228, 92430, 24790, 128265, 128289, 128292, 97832, 11, 97832, 97483, 28776, 348, 352, 130498, 129913, 128284, 128292, 97832, 11, 97832, 97483, 17669, 53037, 13, 3406, 64, 1319, 85142, 968, 128580, 128475, 129207, 1308, 71, 128273, 1163, 524, 92430, 24790, 128484, 128804, 647, 352, 130498, 73586, 128292, 11, 128640, 128292, 97832, 11, 97832, 97483, 79126, 348, 352, 130498, 47742, 128283, 128320, 136525, 138178, 11, 128275, 131535, 128284, 128498, 128451, 128292, 97832, 11, 97832, 97483, 272, 2185, 128376, 128622, 92430, 24790, 128265, 129064, 130192, 128292, 11, 72067, 64, 11, 131774, 128292, 11, 129064, 128322, 128760, 129023, 129677, 11, 128322, 128760, 132856, 132197, 94994, 348, 352, 130498, 624, 50, 2863, 94994, 1187, 78, 128285, 63478, 131535, 128284, 11, 128275, 131535, 128284, 130506, 92430, 128603, 128350, 1163, 524, 92430, 24790, 128484, 128804, 647, 352, 130498, 73586, 128292, 78228, 92430, 24790, 128265, 128275, 131535, 128284, 11, 98896, 95082, 128253, 1187, 78, 128285, 59735, 128666, 128444, 128312, 47742, 128419, 129916, 138178, 130498, 348, 352, 129913, 128284, 128292, 97832, 11, 97832, 97483, 128421, 128250, 65526, 1187, 78, 128285, 96535, 624, 79759, 6362, 131535, 128284, 128475, 128251, 1187, 78, 128285, 94994, 129477, 138178, 128515, 348, 352, 2600, 138737, 61758, 129591, 95082, 128847, 128410, 11, 78228, 92430, 24790, 128265, 136525, 138178, 59735, 128292, 97832, 11, 97832, 97483, 128267, 63478, 342, 6023, 128370, 86139, 128463, 131328, 47742, 128267, 63478, 128329, 128366, 128250, 128322, 128760, 134897, 88057, 59735, 131538, 61758, 129591, 95082, 128847, 128410, 47742, 92430, 24790, 128273, 1163, 524, 92430, 24790, 128484, 128804, 647, 352, 130498, 73586, 128292, 624, 98041, 128379, 28776, 128423, 128599, 61328, 128373, 130291, 94576, 128300, 220, 20, 14, 21, 14, 17, 15, 16, 17, 624, 26067, 71, 1163, 124411, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752 ]
753
[ 49, 6362, 134814, 85852, 128311, 95082, 129481, 128886, 7777, 18934, 128394, 198, 7, 1143, 20868, 759, 84, 75157, 7287, 133761, 130390, 131943, 132644, 129126, 451, 20868, 128456, 130097, 78228, 128366, 11, 129857, 128553, 489, 2185, 435, 6362, 134814, 85852, 78228, 128322, 128751, 128311, 95082, 129481, 128886, 7777, 18934, 128394, 11, 128725, 128391, 348, 125097, 131880, 11, 136658, 135765, 128291, 128456, 128415, 132038, 128726, 130623, 39339, 11, 28776, 128439, 128263, 125440, 129553, 129556, 128788, 136211, 59735, 128704, 128675, 79668, 133600, 132668, 132197, 58701, 128826, 128802, 71800, 293, 76294, 624, 3357, 1794, 130390, 131943, 132644, 129126, 451, 20868, 128456, 130097, 78228, 128366, 11, 129857, 128553, 489, 2185, 435, 6362, 134814, 85852, 78228, 128322, 128751, 11, 128311, 95082, 129481, 128886, 2600, 7777, 18934, 128394, 13, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 48291, 87325, 624, 56635, 124477, 220, 17, 14, 19, 11, 133761, 130390, 131943, 132644, 129126, 451, 20868, 128427, 132630, 128564, 136856, 128250, 78228, 128366, 11, 129857, 128265, 128311, 95082, 23165, 2143, 133457, 11, 132645, 135149, 132601, 85636, 47742, 129481, 128886, 7777, 18934, 128394, 128826, 128802, 71800, 293, 76294, 624, 785, 78, 129029, 44678, 2828, 6408, 11, 129645, 128301, 79126, 8943, 128373, 128271, 128311, 95082, 129481, 128886, 7777, 18934, 128394, 128826, 128802, 11, 23165, 2143, 133457, 11, 132645, 135149, 11, 128751, 128871, 47742, 128507, 128367, 23165, 2143, 133457, 132601, 85636, 11, 138650, 85636, 128260, 25, 132382, 128401, 128366, 134375, 128415, 97610, 132601, 85636, 11, 134375, 62572, 97610, 128482, 128442, 2600, 58701, 47742, 259, 94365, 13, 129645, 128301, 128268, 128336, 128283, 132382, 128757, 134375, 77374, 62572, 2600, 78228, 653, 27924, 128386, 11, 58701, 128310, 85636, 128415, 11, 128826, 128802, 47742, 595, 20868, 653, 27924, 132601, 138650, 85636, 624, 34, 88771, 128250, 128270, 11, 78228, 128366, 11, 129857, 128268, 131628, 128319, 137277, 521, 124760, 128250, 78228, 128704, 128675, 129481, 128886, 129913, 128284, 79668, 7777, 18934, 128394, 130889, 92105, 133465, 58701, 128826, 128802, 71800, 293, 76294, 11, 128425, 128334, 129065, 2600, 296, 4284, 130469, 11, 128482, 128442, 128380, 128375, 128418, 128281, 11, 128309, 64061, 132058, 128281, 26, 128943, 128855, 126370, 130361, 129838, 132645, 135149, 132601, 11, 138650, 85636, 26, 128643, 130509, 128322, 128760, 131140, 131520, 11, 131072, 128463, 128430, 128251, 128394, 133713, 128333, 47742, 128362, 128531, 85636, 128415, 11, 128529, 77374, 62572, 11, 128981, 130203, 130314, 2162, 78, 129169, 128480, 2600, 7777, 18934, 128394, 624, 43, 3202, 16719, 128854, 138737, 61758, 129645, 128301, 2600, 128345, 136525, 138178, 129913, 128284, 69086, 132122, 128978, 132645, 135149, 11, 128826, 128802, 132601, 85636, 128348, 128269, 129916, 131860, 128418, 11, 128250, 128273, 220, 20, 15, 13, 15, 15, 15, 129427, 128329, 13, 130232, 128290, 220, 17, 15, 16, 15, 12, 220, 17, 15, 16, 18, 85636, 128375, 132601, 85636, 128529, 128823, 129866, 220, 19, 53381, 77, 77354, 11, 69086, 128270, 128290, 220, 17, 15, 16, 18, 11, 85636, 128375, 129664, 128914, 220, 21, 129077, 133270, 11, 128309, 128466, 128415, 97610, 129664, 220, 21, 11, 22, 129427, 19551, 624, 51, 4076, 128452, 11, 128311, 95082, 2600, 23165, 2143, 133457, 47742, 128362, 128531, 132645, 135149, 132601, 85636, 11, 129481, 128886, 128826, 128802, 71800, 293, 76294, 128487, 128320, 128249, 65526, 129572, 128751, 13, 356, 50483, 128254, 11, 129738, 128599, 129481, 128886, 7777, 18934, 128394, 128487, 128427, 129553, 128263, 94576, 131538, 95082, 1163, 2185, 220, 85375, 11, 305, 4076, 128285, 130498, 94576, 131538, 95082, 128704, 128675, 47742, 78228, 126341, 128502, 11, 58701, 128310, 128320, 129572, 128751, 13, 133802, 129623, 128270, 11, 128271, 128311, 95082, 129481, 128886, 128320, 259, 40707, 296, 49886, 11, 128289, 326, 124483, 136639, 79, 78228, 129738, 130498, 79668, 128531, 23165, 2143, 128336, 128283, 128651, 63478, 922, 276, 128396, 129315, 129240, 128317, 128289, 128353, 128284, 78228, 129738, 130498, 128320, 129572, 128751, 624, 3357, 16685, 129626, 128272, 128564, 136856, 11, 133761, 130390, 131943, 132644, 129126, 451, 20868, 128456, 130097, 78228, 128366, 11, 129857, 128553, 489, 2185, 435, 6362, 134814, 85852, 78228, 128322, 128751, 128311, 95082, 129481, 128886, 2600, 7777, 18934, 128394, 11, 128725, 28776, 348, 125097, 131880, 11, 136658, 135765, 128291, 128456, 128415, 132038, 128726, 130623, 39339, 11, 69086, 128270, 28776, 128439, 128263, 125440, 129553, 129556, 128788, 136211, 59735, 128704, 128675, 26, 130693, 129156, 128362, 128531, 128507, 128367, 130990, 128360, 132197, 58701, 79668, 133600, 132668, 128826, 128802, 71800, 293, 76294, 13, 910, 124935, 129572, 128260, 129784, 128361, 128943, 128855, 272, 124428, 35082, 140747, 131282, 293, 3413, 2600, 7777, 18934, 128394, 47742, 129784, 128361, 128943, 128855, 272, 124428, 58701, 128317, 326, 124483, 136639, 79, 11, 128761, 128319, 79668, 128340, 130925, 128740, 63478, 128498, 128451, 128362, 128531, 132197, 58701, 624, 3357, 1794, 130390, 131943, 128268, 128456, 130097, 138737, 61758, 129645, 128301, 28776, 128486, 128513, 270, 77689, 342, 125726, 348, 125097, 131880, 69086, 128289, 7777, 18934, 128394, 128639, 128424, 136855, 63478, 78228, 129738, 130498, 28776, 140694, 131531, 130483, 79126, 72, 59735, 129645, 128301, 26, 129029, 128534, 137048, 128424, 128884, 129367, 129922, 126260, 128331, 128415, 97610, 132601, 85636, 624, 1001, 48291, 87325, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49, 6362, 134814, 85852, 128311, 95082, 129481, 128886, 7777, 18934, 128394, 198, 7, 1143, 20868, 759, 84, 75157, 7287, 133761, 130390, 131943, 132644, 129126, 451, 20868, 128456, 130097, 78228, 128366, 11, 129857, 128553, 489, 2185, 435, 6362, 134814, 85852, 78228, 128322, 128751, 128311, 95082, 129481, 128886, 7777, 18934, 128394, 11, 128725, 128391, 348, 125097, 131880, 11, 136658, 135765, 128291, 128456, 128415, 132038, 128726, 130623, 39339, 11, 28776, 128439, 128263, 125440, 129553, 129556, 128788, 136211, 59735, 128704, 128675, 79668, 133600, 132668, 132197, 58701, 128826, 128802, 71800, 293, 76294, 624, 3357, 1794, 130390, 131943, 132644, 129126, 451, 20868, 128456, 130097, 78228, 128366, 11, 129857, 128553, 489, 2185, 435, 6362, 134814, 85852, 78228, 128322, 128751, 11, 128311, 95082, 129481, 128886, 2600, 7777, 18934, 128394, 13, 220, 126884, 16719, 25, 647, 24430, 14, 1001, 48291, 87325, 624, 56635, 124477, 220, 17, 14, 19, 11, 133761, 130390, 131943, 132644, 129126, 451, 20868, 128427, 132630, 128564, 136856, 128250, 78228, 128366, 11, 129857, 128265, 128311, 95082, 23165, 2143, 133457, 11, 132645, 135149, 132601, 85636, 47742, 129481, 128886, 7777, 18934, 128394, 128826, 128802, 71800, 293, 76294, 624, 785, 78, 129029, 44678, 2828, 6408, 11, 129645, 128301, 79126, 8943, 128373, 128271, 128311, 95082, 129481, 128886, 7777, 18934, 128394, 128826, 128802, 11, 23165, 2143, 133457, 11, 132645, 135149, 11, 128751, 128871, 47742, 128507, 128367, 23165, 2143, 133457, 132601, 85636, 11, 138650, 85636, 128260, 25, 132382, 128401, 128366, 134375, 128415, 97610, 132601, 85636, 11, 134375, 62572, 97610, 128482, 128442, 2600, 58701, 47742, 259, 94365, 13, 129645, 128301, 128268, 128336, 128283, 132382, 128757, 134375, 77374, 62572, 2600, 78228, 653, 27924, 128386, 11, 58701, 128310, 85636, 128415, 11, 128826, 128802, 47742, 595, 20868, 653, 27924, 132601, 138650, 85636, 624, 34, 88771, 128250, 128270, 11, 78228, 128366, 11, 129857, 128268, 131628, 128319, 137277, 521, 124760, 128250, 78228, 128704, 128675, 129481, 128886, 129913, 128284, 79668, 7777, 18934, 128394, 130889, 92105, 133465, 58701, 128826, 128802, 71800, 293, 76294, 11, 128425, 128334, 129065, 2600, 296, 4284, 130469, 11, 128482, 128442, 128380, 128375, 128418, 128281, 11, 128309, 64061, 132058, 128281, 26, 128943, 128855, 126370, 130361, 129838, 132645, 135149, 132601, 11, 138650, 85636, 26, 128643, 130509, 128322, 128760, 131140, 131520, 11, 131072, 128463, 128430, 128251, 128394, 133713, 128333, 47742, 128362, 128531, 85636, 128415, 11, 128529, 77374, 62572, 11, 128981, 130203, 130314, 2162, 78, 129169, 128480, 2600, 7777, 18934, 128394, 624, 43, 3202, 16719, 128854, 138737, 61758, 129645, 128301, 2600, 128345, 136525, 138178, 129913, 128284, 69086, 132122, 128978, 132645, 135149, 11, 128826, 128802, 132601, 85636, 128348, 128269, 129916, 131860, 128418, 11, 128250, 128273, 220, 20, 15, 13, 15, 15, 15, 129427, 128329, 13, 130232, 128290, 220, 17, 15, 16, 15, 12, 220, 17, 15, 16, 18, 85636, 128375, 132601, 85636, 128529, 128823, 129866, 220, 19, 53381, 77, 77354, 11, 69086, 128270, 128290, 220, 17, 15, 16, 18, 11, 85636, 128375, 129664, 128914, 220, 21, 129077, 133270, 11, 128309, 128466, 128415, 97610, 129664, 220, 21, 11, 22, 129427, 19551, 624, 51, 4076, 128452, 11, 128311, 95082, 2600, 23165, 2143, 133457, 47742, 128362, 128531, 132645, 135149, 132601, 85636, 11, 129481, 128886, 128826, 128802, 71800, 293, 76294, 128487, 128320, 128249, 65526, 129572, 128751, 13, 356, 50483, 128254, 11, 129738, 128599, 129481, 128886, 7777, 18934, 128394, 128487, 128427, 129553, 128263, 94576, 131538, 95082, 1163, 2185, 220, 85375, 11, 305, 4076, 128285, 130498, 94576, 131538, 95082, 128704, 128675, 47742, 78228, 126341, 128502, 11, 58701, 128310, 128320, 129572, 128751, 13, 133802, 129623, 128270, 11, 128271, 128311, 95082, 129481, 128886, 128320, 259, 40707, 296, 49886, 11, 128289, 326, 124483, 136639, 79, 78228, 129738, 130498, 79668, 128531, 23165, 2143, 128336, 128283, 128651, 63478, 922, 276, 128396, 129315, 129240, 128317, 128289, 128353, 128284, 78228, 129738, 130498, 128320, 129572, 128751, 624, 3357, 16685, 129626, 128272, 128564, 136856, 11, 133761, 130390, 131943, 132644, 129126, 451, 20868, 128456, 130097, 78228, 128366, 11, 129857, 128553, 489, 2185, 435, 6362, 134814, 85852, 78228, 128322, 128751, 128311, 95082, 129481, 128886, 2600, 7777, 18934, 128394, 11, 128725, 28776, 348, 125097, 131880, 11, 136658, 135765, 128291, 128456, 128415, 132038, 128726, 130623, 39339, 11, 69086, 128270, 28776, 128439, 128263, 125440, 129553, 129556, 128788, 136211, 59735, 128704, 128675, 26, 130693, 129156, 128362, 128531, 128507, 128367, 130990, 128360, 132197, 58701, 79668, 133600, 132668, 128826, 128802, 71800, 293, 76294, 13, 910, 124935, 129572, 128260, 129784, 128361, 128943, 128855, 272, 124428, 35082, 140747, 131282, 293, 3413, 2600, 7777, 18934, 128394, 47742, 129784, 128361, 128943, 128855, 272, 124428, 58701, 128317, 326, 124483, 136639, 79, 11, 128761, 128319, 79668, 128340, 130925, 128740, 63478, 128498, 128451, 128362, 128531, 132197, 58701, 624, 3357, 1794, 130390, 131943, 128268, 128456, 130097, 138737, 61758, 129645, 128301, 28776, 128486, 128513, 270, 77689, 342, 125726, 348, 125097, 131880, 69086, 128289, 7777, 18934, 128394, 128639, 128424, 136855, 63478, 78228, 129738, 130498, 28776, 140694, 131531, 130483, 79126, 72, 59735, 129645, 128301, 26, 129029, 128534, 137048, 128424, 128884, 129367, 129922, 126260, 128331, 128415, 97610, 132601, 85636, 624, 1001, 48291, 87325, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797 ]
798
[ 34, 124415, 128329, 129643, 128465, 25, 3155, 27924, 128386, 79126, 128391, 128994, 130123, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 425, 85142, 73525, 128253, 125021, 138039, 8943, 128278, 47742, 132666, 128311, 95082, 137288, 128327, 59735, 129591, 130388, 11, 78228, 653, 27924, 128386, 79126, 128370, 128391, 63478, 128994, 130123, 94994, 270, 309, 94995, 134374, 128329, 128465, 624, 34, 124415, 128329, 129643, 128465, 25, 451, 24015, 128394, 856, 336, 128550, 132870, 129913, 624, 1001, 125593, 521, 78820, 326, 89639, 59735, 132234, 128394, 94576, 134374, 128329, 129643, 128465, 128265, 128275, 128392, 13, 220, 126884, 16719, 25, 647, 24430, 27233, 124310, 132922, 624, 34, 124415, 128329, 129643, 128465, 128568, 128278, 128924, 63478, 128336, 128283, 86139, 128367, 131026, 142893, 128290, 220, 17, 15, 16, 15, 12, 17, 15, 16, 16, 128272, 128847, 142193, 129336, 11, 131210, 132690, 129932, 11, 129018, 1527, 15392, 524, 13, 134845, 37915, 130179, 128338, 134374, 128329, 129643, 128465, 59735, 128534, 13580, 132847, 129067, 128336, 128853, 1527, 15392, 524, 320, 1890, 4406, 50, 8, 128250, 129054, 128761, 220, 16, 13, 16, 15, 15, 6386, 13, 130232, 128270, 128263, 308, 352, 11, 130179, 128338, 96535, 79126, 2600, 128391, 128846, 73586, 129315, 14854, 124551, 59735, 128253, 128275, 128266, 128311, 95082, 11, 131945, 129655, 69086, 128459, 128361, 128336, 128283, 128487, 128320, 128253, 128580, 128456, 128360, 128486, 128784, 624, 50241, 128278, 11, 130179, 128338, 96535, 128370, 63478, 128271, 125021, 132132, 128265, 128439, 129363, 61328, 59735, 128525, 13, 350, 4076, 128452, 11, 129029, 44678, 2828, 6408, 79126, 128784, 128396, 128336, 128283, 13, 1163, 644, 94994, 78228, 62029, 13580, 128415, 97610, 143692, 128487, 139900, 220, 38715, 653, 98127, 128491, 296, 4284, 143692, 279, 78, 128309, 126260, 128331, 47742, 128415, 97610, 79668, 130158, 128814, 270, 352, 128378, 128278, 128379, 86139, 129838, 129031, 88057, 11, 128291, 98127, 128312, 15082, 4406, 50, 86139, 128564, 13, 18971, 11, 62029, 13580, 96535, 128268, 128279, 125021, 132132, 37915, 128943, 128855, 134374, 128329, 129643, 128465, 79668, 1112, 128627, 63478, 129374, 137329, 131307, 128304, 37915, 128278, 128379, 2600, 132234, 128394, 624, 1282, 124603, 128419, 128314, 96535, 11, 128436, 21793, 125562, 16719, 129126, 663, 125437, 11, 130017, 137295, 133796, 15082, 4406, 50, 11, 79126, 128350, 128607, 136732, 128333, 128784, 128396, 128266, 134374, 128329, 128465, 13, 84137, 128436, 663, 125437, 11, 128271, 128251, 53037, 128456, 130569, 128263, 128450, 128380, 59735, 128580, 128456, 37915, 128282, 773, 274, 124415, 128309, 64061, 85636, 128415, 129181, 134374, 128329, 129643, 128465, 128250, 128309, 64061, 59735, 132234, 128394, 53037, 270, 309, 94995, 134374, 128329, 129643, 128465, 79668, 128345, 128269, 129625, 128423, 128432, 128304, 624, 1001, 92302, 128384, 11, 94576, 94994, 15082, 4406, 50, 128336, 128283, 64061, 62029, 134374, 128329, 129643, 128465, 11, 129029, 44678, 2828, 6408, 2600, 129470, 128284, 128273, 128401, 128664, 131763, 131881, 85852, 128486, 128513, 128401, 129054, 2600, 128251, 132234, 128394, 47742, 129857, 132234, 128386, 13, 41016, 128270, 11, 130390, 131943, 129591, 130388, 79126, 8943, 128373, 7777, 352, 3406, 88, 51580, 128333, 220, 21, 17, 14, 17, 15, 16, 18, 45274, 40225, 9285, 51, 70, 128265, 128311, 95082, 135984, 23165, 125531, 128362, 128531, 128319, 128400, 11, 128542, 128403, 85636, 128415, 136822, 128250, 128575, 135364, 132234, 85636, 11, 128943, 128855, 134374, 128329, 129643, 128465, 26, 3406, 88, 51580, 128333, 220, 23, 15, 14, 17, 15, 15, 17, 45274, 40225, 9285, 51, 70, 128265, 128311, 95082, 135984, 23165, 125531, 128575, 135364, 132234, 85636, 61758, 128585, 92430, 73525, 128319, 128329, 624, 785, 78, 128270, 11, 129591, 130388, 128267, 129481, 128886, 2600, 78228, 653, 27924, 128386, 270, 309, 94995, 595, 20868, 128812, 79668, 126370, 130361, 11, 131867, 128425, 128329, 11122, 124761, 11, 128643, 130509, 128457, 128573, 342, 22516, 92430, 11, 132601, 128994, 128811, 128329, 11, 128457, 128573, 128484, 69086, 126258, 128595, 134374, 128329, 128465, 26, 129481, 128886, 220, 20, 15, 12, 16, 15, 15, 4, 595, 20868, 128812, 126341, 128502, 128553, 32965, 124644, 2600, 132234, 128394, 128327, 342, 1103, 128278, 26, 129481, 128886, 220, 17, 15, 12, 18, 15, 4, 25798, 128812, 128336, 128384, 128265, 129374, 128417, 129067, 128336, 128853, 624, 53, 23531, 128314, 11, 128272, 50327, 7347, 3140, 11, 348, 126599, 326, 89639, 128465, 128281, 125440, 128301, 11, 79126, 28776, 128271, 62029, 13580, 270, 309, 94995, 128943, 128855, 134374, 128329, 129643, 128465, 136822, 128250, 293, 3441, 128575, 85636, 79479, 13, 356, 50483, 128254, 11, 128703, 15082, 4406, 50, 128320, 28776, 62029, 13580, 135803, 128336, 5724, 1527, 11, 1527, 15392, 524, 11, 130717, 663, 125478, 11, 142193, 5724, 1112, 270, 309, 94995, 86139, 624, 131371, 968, 136290, 131053, 129336, 11, 137295, 133796, 128534, 13580, 30923, 23180, 1163, 2185, 1527, 11, 131210, 356, 76294, 50327, 85142, 320, 34, 69611, 663, 38715, 701, 128251, 128370, 15122, 128253, 130483, 3275, 124382, 59735, 130179, 128338, 134374, 128329, 128465, 47742, 79126, 128784, 128333, 270, 309, 94995, 2600, 128640, 11, 128263, 128730, 78228, 653, 27924, 128386, 128282, 270, 309, 94995, 270, 352, 128378, 132055, 129030, 128253, 141753, 128304, 624, 35, 125041, 128977, 94576, 129857, 521, 124626, 132645, 11, 128436, 129336, 2600, 128640, 11, 128725, 78228, 653, 27924, 128386, 98127, 133459, 128263, 128367, 128558, 77374, 296, 4284, 128627, 130158, 128814, 128291, 129857, 326, 89639, 143692, 128324, 29974, 28776, 128254, 73586, 279, 78, 137866, 82790, 59735, 129857, 521, 124626, 132645, 13, 84137, 128436, 11, 78228, 653, 27924, 128386, 130498, 128301, 128703, 69086, 132122, 128978, 521, 124626, 132645, 128278, 128379, 94576, 128482, 128442, 11, 390, 130469, 1112, 128317, 128263, 308, 352, 11, 126247, 136514, 63478, 126260, 128463, 128465, 13, 130629, 128490, 11, 128725, 78228, 653, 27924, 128386, 69086, 129857, 326, 89639, 143692, 128320, 521, 69611, 521, 124185, 128291, 128267, 128263, 128730, 128324, 29974, 37915, 128301, 128415, 97610, 143692, 128281, 20303, 23531, 128314, 128449, 128344, 128251, 128394, 85852, 135149, 47742, 128442, 143692, 59735, 128249, 128560, 128423, 128301, 128703, 624, 785, 78, 356, 92704, 1163, 124483, 489, 41603, 83, 320, 33, 37678, 44678, 2828, 6408, 701, 128263, 308, 352, 11, 128269, 50327, 7347, 3140, 79126, 28776, 220, 16, 17, 129018, 128531, 23165, 2143, 128336, 128283, 134374, 128329, 128465, 320, 339, 352, 2600, 134374, 128329, 129643, 128465, 8, 47742, 856, 336, 128358, 37915, 129838, 129031, 88057, 85636, 128415, 326, 89639, 61758, 128585, 136822, 128250, 128575, 135364, 13, 356, 124415, 128329, 128465, 128269, 128358, 28776, 220, 20, 130249, 129838, 129031, 88057, 129831, 128319, 128250, 126260, 128331, 128575, 135364, 69086, 128301, 47742, 128314, 128449, 13, 134845, 37915, 134374, 128329, 128465, 646, 71, 128400, 130469, 326, 89639, 81352, 128744, 272, 2185, 128740, 326, 89639, 11, 143692, 81352, 220, 23, 20, 26, 134374, 128329, 128465, 646, 71, 128400, 130469, 326, 89639, 2600, 143692, 130595, 134761, 129121, 128380, 128375, 2162, 78, 26, 134374, 128329, 128465, 646, 71, 128400, 130469, 326, 89639, 128788, 85636, 26, 134374, 128329, 128465, 646, 71, 128400, 130469, 308, 124778, 47742, 130469, 326, 89639, 134761, 489, 125437, 320, 73, 10736, 3001, 8, 47742, 129742, 128340, 37915, 134374, 128329, 128465, 646, 71, 128400, 130469, 326, 89639, 128380, 128375, 489, 2185, 128823, 47742, 130469, 326, 89639, 128380, 128375, 132058, 13, 130017, 129054, 128761, 129168, 220, 16, 19, 15, 13, 15, 15, 15, 6386, 11, 128529, 220, 16, 17, 22, 128568, 773, 128250, 128327, 128406, 92105, 128802, 128278, 135863, 128406, 134374, 128329, 129643, 128465, 624, 35, 61031, 128935, 11, 128263, 129742, 128290, 220, 17, 15, 16, 19, 11, 129054, 128761, 134374, 128329, 128465, 128267, 141619, 390, 65526, 220, 17, 15, 16, 13, 15, 15, 15, 6386, 13, 350, 4076, 128452, 11, 65526, 129054, 128761, 134374, 128329, 128465, 28776, 128254, 128424, 128884, 128529, 128350, 69086, 128253, 128290, 128447, 128378, 92105, 128358, 11, 15082, 4406, 50, 47742, 130017, 128534, 13580, 444, 85375, 128336, 133318, 29974, 320, 53, 2210, 13915, 220, 17, 8, 128348, 28776, 128495, 130361, 128830, 220, 18, 15, 4, 129054, 128761, 646, 71, 128400, 326, 89639, 128269, 50327, 7347, 3140, 128570, 64061, 129838, 129031, 88057, 128415, 97610, 320, 6023, 51054, 50327, 7347, 3140, 28776, 128914, 220, 16, 11, 22, 129077, 6386, 128750, 135149, 326, 89639, 4292, 40225, 72, 124477, 96535, 128977, 132367, 73525, 128253, 125021, 138039, 8943, 128278, 47742, 132666, 128311, 95082, 137288, 128327, 59735, 129591, 130388, 11, 78228, 653, 27924, 128386, 79126, 128370, 128391, 63478, 128994, 130123, 94994, 270, 309, 94995, 134374, 128329, 128465, 13, 134845, 37915, 128365, 131531, 326, 89639, 2162, 78, 128304, 11, 25798, 128812, 129530, 128304, 11, 85636, 79479, 489, 4076, 128415, 63478, 129738, 134766, 11, 129664, 128575, 129311, 23165, 124651, 595, 383, 128281, 79668, 128415, 97610, 28240, 128253, 126260, 128331, 128639, 128439, 128250, 128309, 128415, 97610, 128787, 128269, 129240, 2162, 78, 11, 128334, 96535, 128329, 129598, 128423, 128432, 595, 20868, 653, 27924, 59735, 653, 27924, 128386, 2162, 78, 128304, 773, 128250, 128328, 85636, 128415, 129045, 128573, 129986, 308, 352, 624, 45, 24015, 128394, 24790, 129608, 11, 653, 27924, 128386, 128784, 128396, 37915, 128334, 128893, 2600, 128289, 128943, 128855, 134374, 128329, 129643, 128465, 129664, 63478, 128253, 64061, 62029, 130203, 128278, 624, 53, 124310, 132922, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34, 124415, 128329, 129643, 128465, 25, 3155, 27924, 128386, 79126, 128391, 128994, 130123, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 425, 85142, 73525, 128253, 125021, 138039, 8943, 128278, 47742, 132666, 128311, 95082, 137288, 128327, 59735, 129591, 130388, 11, 78228, 653, 27924, 128386, 79126, 128370, 128391, 63478, 128994, 130123, 94994, 270, 309, 94995, 134374, 128329, 128465, 624, 34, 124415, 128329, 129643, 128465, 25, 451, 24015, 128394, 856, 336, 128550, 132870, 129913, 624, 1001, 125593, 521, 78820, 326, 89639, 59735, 132234, 128394, 94576, 134374, 128329, 129643, 128465, 128265, 128275, 128392, 13, 220, 126884, 16719, 25, 647, 24430, 27233, 124310, 132922, 624, 34, 124415, 128329, 129643, 128465, 128568, 128278, 128924, 63478, 128336, 128283, 86139, 128367, 131026, 142893, 128290, 220, 17, 15, 16, 15, 12, 17, 15, 16, 16, 128272, 128847, 142193, 129336, 11, 131210, 132690, 129932, 11, 129018, 1527, 15392, 524, 13, 134845, 37915, 130179, 128338, 134374, 128329, 129643, 128465, 59735, 128534, 13580, 132847, 129067, 128336, 128853, 1527, 15392, 524, 320, 1890, 4406, 50, 8, 128250, 129054, 128761, 220, 16, 13, 16, 15, 15, 6386, 13, 130232, 128270, 128263, 308, 352, 11, 130179, 128338, 96535, 79126, 2600, 128391, 128846, 73586, 129315, 14854, 124551, 59735, 128253, 128275, 128266, 128311, 95082, 11, 131945, 129655, 69086, 128459, 128361, 128336, 128283, 128487, 128320, 128253, 128580, 128456, 128360, 128486, 128784, 624, 50241, 128278, 11, 130179, 128338, 96535, 128370, 63478, 128271, 125021, 132132, 128265, 128439, 129363, 61328, 59735, 128525, 13, 350, 4076, 128452, 11, 129029, 44678, 2828, 6408, 79126, 128784, 128396, 128336, 128283, 13, 1163, 644, 94994, 78228, 62029, 13580, 128415, 97610, 143692, 128487, 139900, 220, 38715, 653, 98127, 128491, 296, 4284, 143692, 279, 78, 128309, 126260, 128331, 47742, 128415, 97610, 79668, 130158, 128814, 270, 352, 128378, 128278, 128379, 86139, 129838, 129031, 88057, 11, 128291, 98127, 128312, 15082, 4406, 50, 86139, 128564, 13, 18971, 11, 62029, 13580, 96535, 128268, 128279, 125021, 132132, 37915, 128943, 128855, 134374, 128329, 129643, 128465, 79668, 1112, 128627, 63478, 129374, 137329, 131307, 128304, 37915, 128278, 128379, 2600, 132234, 128394, 624, 1282, 124603, 128419, 128314, 96535, 11, 128436, 21793, 125562, 16719, 129126, 663, 125437, 11, 130017, 137295, 133796, 15082, 4406, 50, 11, 79126, 128350, 128607, 136732, 128333, 128784, 128396, 128266, 134374, 128329, 128465, 13, 84137, 128436, 663, 125437, 11, 128271, 128251, 53037, 128456, 130569, 128263, 128450, 128380, 59735, 128580, 128456, 37915, 128282, 773, 274, 124415, 128309, 64061, 85636, 128415, 129181, 134374, 128329, 129643, 128465, 128250, 128309, 64061, 59735, 132234, 128394, 53037, 270, 309, 94995, 134374, 128329, 129643, 128465, 79668, 128345, 128269, 129625, 128423, 128432, 128304, 624, 1001, 92302, 128384, 11, 94576, 94994, 15082, 4406, 50, 128336, 128283, 64061, 62029, 134374, 128329, 129643, 128465, 11, 129029, 44678, 2828, 6408, 2600, 129470, 128284, 128273, 128401, 128664, 131763, 131881, 85852, 128486, 128513, 128401, 129054, 2600, 128251, 132234, 128394, 47742, 129857, 132234, 128386, 13, 41016, 128270, 11, 130390, 131943, 129591, 130388, 79126, 8943, 128373, 7777, 352, 3406, 88, 51580, 128333, 220, 21, 17, 14, 17, 15, 16, 18, 45274, 40225, 9285, 51, 70, 128265, 128311, 95082, 135984, 23165, 125531, 128362, 128531, 128319, 128400, 11, 128542, 128403, 85636, 128415, 136822, 128250, 128575, 135364, 132234, 85636, 11, 128943, 128855, 134374, 128329, 129643, 128465, 26, 3406, 88, 51580, 128333, 220, 23, 15, 14, 17, 15, 15, 17, 45274, 40225, 9285, 51, 70, 128265, 128311, 95082, 135984, 23165, 125531, 128575, 135364, 132234, 85636, 61758, 128585, 92430, 73525, 128319, 128329, 624, 785, 78, 128270, 11, 129591, 130388, 128267, 129481, 128886, 2600, 78228, 653, 27924, 128386, 270, 309, 94995, 595, 20868, 128812, 79668, 126370, 130361, 11, 131867, 128425, 128329, 11122, 124761, 11, 128643, 130509, 128457, 128573, 342, 22516, 92430, 11, 132601, 128994, 128811, 128329, 11, 128457, 128573, 128484, 69086, 126258, 128595, 134374, 128329, 128465, 26, 129481, 128886, 220, 20, 15, 12, 16, 15, 15, 4, 595, 20868, 128812, 126341, 128502, 128553, 32965, 124644, 2600, 132234, 128394, 128327, 342, 1103, 128278, 26, 129481, 128886, 220, 17, 15, 12, 18, 15, 4, 25798, 128812, 128336, 128384, 128265, 129374, 128417, 129067, 128336, 128853, 624, 53, 23531, 128314, 11, 128272, 50327, 7347, 3140, 11, 348, 126599, 326, 89639, 128465, 128281, 125440, 128301, 11, 79126, 28776, 128271, 62029, 13580, 270, 309, 94995, 128943, 128855, 134374, 128329, 129643, 128465, 136822, 128250, 293, 3441, 128575, 85636, 79479, 13, 356, 50483, 128254, 11, 128703, 15082, 4406, 50, 128320, 28776, 62029, 13580, 135803, 128336, 5724, 1527, 11, 1527, 15392, 524, 11, 130717, 663, 125478, 11, 142193, 5724, 1112, 270, 309, 94995, 86139, 624, 131371, 968, 136290, 131053, 129336, 11, 137295, 133796, 128534, 13580, 30923, 23180, 1163, 2185, 1527, 11, 131210, 356, 76294, 50327, 85142, 320, 34, 69611, 663, 38715, 701, 128251, 128370, 15122, 128253, 130483, 3275, 124382, 59735, 130179, 128338, 134374, 128329, 128465, 47742, 79126, 128784, 128333, 270, 309, 94995, 2600, 128640, 11, 128263, 128730, 78228, 653, 27924, 128386, 128282, 270, 309, 94995, 270, 352, 128378, 132055, 129030, 128253, 141753, 128304, 624, 35, 125041, 128977, 94576, 129857, 521, 124626, 132645, 11, 128436, 129336, 2600, 128640, 11, 128725, 78228, 653, 27924, 128386, 98127, 133459, 128263, 128367, 128558, 77374, 296, 4284, 128627, 130158, 128814, 128291, 129857, 326, 89639, 143692, 128324, 29974, 28776, 128254, 73586, 279, 78, 137866, 82790, 59735, 129857, 521, 124626, 132645, 13, 84137, 128436, 11, 78228, 653, 27924, 128386, 130498, 128301, 128703, 69086, 132122, 128978, 521, 124626, 132645, 128278, 128379, 94576, 128482, 128442, 11, 390, 130469, 1112, 128317, 128263, 308, 352, 11, 126247, 136514, 63478, 126260, 128463, 128465, 13, 130629, 128490, 11, 128725, 78228, 653, 27924, 128386, 69086, 129857, 326, 89639, 143692, 128320, 521, 69611, 521, 124185, 128291, 128267, 128263, 128730, 128324, 29974, 37915, 128301, 128415, 97610, 143692, 128281, 20303, 23531, 128314, 128449, 128344, 128251, 128394, 85852, 135149, 47742, 128442, 143692, 59735, 128249, 128560, 128423, 128301, 128703, 624, 785, 78, 356, 92704, 1163, 124483, 489, 41603, 83, 320, 33, 37678, 44678, 2828, 6408, 701, 128263, 308, 352, 11, 128269, 50327, 7347, 3140, 79126, 28776, 220, 16, 17, 129018, 128531, 23165, 2143, 128336, 128283, 134374, 128329, 128465, 320, 339, 352, 2600, 134374, 128329, 129643, 128465, 8, 47742, 856, 336, 128358, 37915, 129838, 129031, 88057, 85636, 128415, 326, 89639, 61758, 128585, 136822, 128250, 128575, 135364, 13, 356, 124415, 128329, 128465, 128269, 128358, 28776, 220, 20, 130249, 129838, 129031, 88057, 129831, 128319, 128250, 126260, 128331, 128575, 135364, 69086, 128301, 47742, 128314, 128449, 13, 134845, 37915, 134374, 128329, 128465, 646, 71, 128400, 130469, 326, 89639, 81352, 128744, 272, 2185, 128740, 326, 89639, 11, 143692, 81352, 220, 23, 20, 26, 134374, 128329, 128465, 646, 71, 128400, 130469, 326, 89639, 2600, 143692, 130595, 134761, 129121, 128380, 128375, 2162, 78, 26, 134374, 128329, 128465, 646, 71, 128400, 130469, 326, 89639, 128788, 85636, 26, 134374, 128329, 128465, 646, 71, 128400, 130469, 308, 124778, 47742, 130469, 326, 89639, 134761, 489, 125437, 320, 73, 10736, 3001, 8, 47742, 129742, 128340, 37915, 134374, 128329, 128465, 646, 71, 128400, 130469, 326, 89639, 128380, 128375, 489, 2185, 128823, 47742, 130469, 326, 89639, 128380, 128375, 132058, 13, 130017, 129054, 128761, 129168, 220, 16, 19, 15, 13, 15, 15, 15, 6386, 11, 128529, 220, 16, 17, 22, 128568, 773, 128250, 128327, 128406, 92105, 128802, 128278, 135863, 128406, 134374, 128329, 129643, 128465, 624, 35, 61031, 128935, 11, 128263, 129742, 128290, 220, 17, 15, 16, 19, 11, 129054, 128761, 134374, 128329, 128465, 128267, 141619, 390, 65526, 220, 17, 15, 16, 13, 15, 15, 15, 6386, 13, 350, 4076, 128452, 11, 65526, 129054, 128761, 134374, 128329, 128465, 28776, 128254, 128424, 128884, 128529, 128350, 69086, 128253, 128290, 128447, 128378, 92105, 128358, 11, 15082, 4406, 50, 47742, 130017, 128534, 13580, 444, 85375, 128336, 133318, 29974, 320, 53, 2210, 13915, 220, 17, 8, 128348, 28776, 128495, 130361, 128830, 220, 18, 15, 4, 129054, 128761, 646, 71, 128400, 326, 89639, 128269, 50327, 7347, 3140, 128570, 64061, 129838, 129031, 88057, 128415, 97610, 320, 6023, 51054, 50327, 7347, 3140, 28776, 128914, 220, 16, 11, 22, 129077, 6386, 128750, 135149, 326, 89639, 4292, 40225, 72, 124477, 96535, 128977, 132367, 73525, 128253, 125021, 138039, 8943, 128278, 47742, 132666, 128311, 95082, 137288, 128327, 59735, 129591, 130388, 11, 78228, 653, 27924, 128386, 79126, 128370, 128391, 63478, 128994, 130123, 94994, 270, 309, 94995, 134374, 128329, 128465, 13, 134845, 37915, 128365, 131531, 326, 89639, 2162, 78, 128304, 11, 25798, 128812, 129530, 128304, 11, 85636, 79479, 489, 4076, 128415, 63478, 129738, 134766, 11, 129664, 128575, 129311, 23165, 124651, 595, 383, 128281, 79668, 128415, 97610, 28240, 128253, 126260, 128331, 128639, 128439, 128250, 128309, 128415, 97610, 128787, 128269, 129240, 2162, 78, 11, 128334, 96535, 128329, 129598, 128423, 128432, 595, 20868, 653, 27924, 59735, 653, 27924, 128386, 2162, 78, 128304, 773, 128250, 128328, 85636, 128415, 129045, 128573, 129986, 308, 352, 624, 45, 24015, 128394, 24790, 129608, 11, 653, 27924, 128386, 128784, 128396, 37915, 128334, 128893, 2600, 128289, 128943, 128855, 134374, 128329, 129643, 128465, 129664, 63478, 128253, 64061, 62029, 130203, 128278, 624, 53, 124310, 132922, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428 ]
1,429
[ 2073, 34, 6654, 65526, 66, 854, 58547, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 137327, 137451, 139063, 128683, 129101, 130906, 342, 22516, 59735, 128819, 128279, 489, 524, 129461, 58547, 272, 2185, 128376, 2600, 78228, 137971, 128603, 128465, 128273, 128314, 128449, 86139, 128300, 220, 17, 23, 14, 16, 16, 37915, 1036, 66, 6654, 65526, 66, 854, 129045, 92430, 128465, 126199, 128819, 128282, 128611, 128328, 856, 19533, 127657, 84, 78228, 128421, 129014, 128542, 922, 276, 624, 53, 50483, 128861, 130540, 92430, 24790, 96535, 28776, 128254, 128400, 128285, 128465, 128263, 78228, 134666, 922, 276, 128457, 129181, 128819, 128250, 78228, 128301, 13, 910, 124935, 128314, 126199, 7777, 352, 32154, 94994, 128253, 92430, 24790, 130906, 342, 22516, 20303, 126961, 128467, 128279, 84207, 15122, 11, 129645, 1163, 124933, 47742, 444, 91012, 133670, 479, 125877, 79126, 129541, 128599, 128350, 128595, 58547, 47742, 2600, 128640, 128373, 128285, 96535, 53037, 128253, 128882, 128675, 131579, 128263, 78228, 308, 71431, 128599, 293, 5498, 16719, 128978, 128310, 128918, 126199, 128320, 14854, 68, 294, 41603, 64, 97832, 129461, 128268, 128260, 128277, 128386, 59735, 128253, 128251, 28776, 129064, 69086, 78228, 128556, 88057, 13, 356, 21742, 129029, 129528, 142769, 342, 22516, 128819, 15033, 8120, 138618, 138532, 129212, 129645, 1163, 124933, 8397, 83551, 137429, 128818, 128367, 96535, 53037, 131084, 18698, 16719, 128311, 95082, 47742, 128268, 53037, 128333, 128338, 128784, 95082, 59735, 128819, 128344, 28776, 128254, 128882, 128492, 129589, 131307, 129222, 53037, 98127, 128447, 128994, 130123, 128311, 95082, 128421, 130906, 59735, 128819, 126199, 128320, 128400, 128285, 128447, 128329, 1308, 71, 47742, 89437, 136078, 59735, 128301, 96535, 128273, 128401, 128314, 128449, 13, 647, 50483, 128289, 128273, 63478, 1062, 72, 37915, 134168, 128550, 128263, 129240, 78228, 128275, 130906, 342, 22516, 128819, 128273, 128314, 128449, 79126, 63478, 128498, 128451, 129017, 128880, 131840, 129742, 130681, 128310, 137789, 444, 124417, 350, 20229, 133170, 11, 128249, 128300, 131309, 128906, 128738, 922, 276, 128550, 59735, 128251, 128819, 11, 79668, 133691, 137968, 856, 19533, 127657, 84, 128277, 142481, 134897, 28776, 128254, 293, 88771, 128350, 94994, 128253, 128370, 130985, 20303, 126961, 128467, 128265, 128249, 128310, 128853, 17669, 128249, 128301, 128352, 128270, 128279, 1319, 124841, 135247, 13, 135997, 128275, 131400, 128854, 78228, 128301, 128273, 128314, 128449, 128268, 53037, 133844, 98170, 128265, 128373, 128285, 59735, 58547, 13, 131160, 220, 18, 15, 14, 16, 16, 11, 5665, 9896, 79126, 12788, 38830, 379, 51580, 128249, 92430, 129410, 131928, 128421, 128250, 128275, 128688, 128980, 489, 524, 129461, 58547, 59407, 11, 220, 18, 24, 128790, 11, 128664, 131443, 8330, 11, 128329, 129598, 128250, 128289, 128930, 128436, 9450, 86139, 98896, 95082, 489, 4076, 308, 3202, 61758, 128278, 59735, 126341, 128502, 96535, 13, 139014, 69086, 130681, 73525, 11, 128419, 128338, 127980, 128978, 130215, 130726, 42812, 28776, 128253, 128960, 128871, 126199, 279, 78, 78228, 128275, 129036, 128761, 37915, 129240, 128368, 139529, 133863, 128487, 128651, 127657, 84, 293, 132540, 32154, 128367, 293, 124551, 1319, 77689, 129181, 46051, 133318, 143656, 137713, 128300, 220, 17, 18, 14, 16, 16, 13, 41016, 128253, 308, 71431, 128599, 130906, 342, 22516, 128664, 128384, 128250, 74542, 128491, 46051, 128301, 128757, 128368, 139529, 133863, 69086, 922, 276, 128457, 130906, 342, 22516, 128651, 132222, 128403, 128432, 128291, 130442, 128494, 47742, 128819, 128300, 220, 17, 23, 14, 16, 16, 79126, 129263, 128373, 128564, 128553, 130121, 128465, 128273, 130027, 130597, 131039, 11, 128564, 128553, 130121, 126199, 6826, 5626, 8065, 143656, 137713, 2600, 37915, 28776, 128439, 94994, 124634, 23165, 125531, 128421, 128250, 126247, 13, 431, 125058, 128268, 7777, 352, 32154, 128270, 11, 128300, 220, 18, 14, 16, 17, 11, 128819, 47742, 129898, 130164, 79126, 128802, 128278, 128564, 128553, 130121, 126370, 130179, 128465, 128281, 94576, 128371, 128447, 308, 352, 128272, 130027, 129898, 130164, 128914, 128627, 131638, 143656, 137713, 13, 128965, 128285, 131860, 96535, 2600, 128391, 128419, 128338, 128272, 127980, 128978, 96535, 128651, 28776, 131575, 128423, 135378, 127657, 84, 47742, 128893, 136525, 129748, 128314, 128449, 128906, 128738, 775, 138039, 13, 129005, 128277, 129065, 128465, 128354, 59735, 128314, 128449, 69086, 130681, 37915, 129935, 130097, 82763, 48, 128265, 128871, 128726, 129019, 130990, 128568, 128720, 220, 16, 21, 320, 34, 3067, 220, 16, 21, 8, 23165, 2143, 296, 124904, 128300, 220, 17, 24, 14, 16, 16, 128272, 64061, 128974, 80323, 360, 11, 12270, 128250, 129168, 220, 17, 20, 13, 15, 15, 15, 128479, 129626, 94576, 220, 16, 24, 19, 128301, 270, 309, 94995, 128534, 220, 124603, 23165, 2185, 82763, 48, 320, 1861, 37, 53873, 8, 270, 309, 126258, 13, 422, 14926, 128322, 128410, 128949, 74542, 139272, 5492, 78228, 128479, 129626, 270, 309, 126258, 67572, 12, 16, 21, 128582, 128845, 128784, 128396, 129664, 63478, 128249, 141741, 220, 124603, 50196, 128439, 135111, 135571, 128265, 128513, 128356, 131763, 270, 352, 128314, 141127, 128333, 129101, 81022, 128267, 128906, 128423, 128599, 86139, 128290, 220, 17, 15, 16, 17, 13, 84137, 78228, 128275, 72067, 64, 128292, 11, 128375, 129019, 270, 75050, 7284, 17, 128273, 128401, 128451, 128290, 220, 17, 15, 15, 23, 79126, 128529, 128304, 220, 19, 15, 4, 773, 128250, 128290, 220, 16, 24, 24, 15, 653, 128249, 65526, 128301, 128260, 128819, 53037, 128757, 63478, 128375, 129019, 270, 75050, 11, 69086, 94994, 128375, 129019, 270, 75050, 59735, 128249, 65526, 128301, 128348, 128362, 128531, 11, 69086, 128270, 28776, 1163, 2185, 128494, 11, 85852, 128529, 128818, 13, 131677, 67572, 220, 16, 21, 11, 128324, 29974, 270, 309, 94995, 46051, 128811, 85536, 128311, 25, 128534, 220, 124603, 20165, 2185, 128265, 128871, 128726, 129019, 130990, 320, 1861, 37, 53873, 8, 47742, 141127, 128333, 129101, 81022, 13, 130798, 136290, 129126, 350, 124644, 11, 133761, 647, 50483, 129528, 647, 50483, 472, 84300, 79, 128400, 128664, 128384, 129029, 134352, 129031, 47742, 386, 124312, 128331, 11, 64061, 97483, 129675, 128324, 29974, 2600, 128345, 69086, 128811, 85536, 128542, 922, 276, 128263, 128534, 220, 124603, 11, 128324, 29974, 293, 35234, 129261, 128463, 132972, 129748, 128265, 128745, 128740, 11, 128757, 131314, 11, 128322, 128751, 128556, 128311, 47742, 128830, 342, 22516, 62029, 128781, 128250, 129203, 134569, 128266, 129398, 131368, 129414, 134362, 128757, 128362, 270, 75050, 129019, 128275, 131921, 47742, 131368, 129414, 128830, 342, 22516, 62029, 128781, 11, 272, 2185, 128376, 128556, 128311, 47742, 128529, 132300, 128365, 128599, 59735, 78228, 128301, 128362, 128531, 128421, 128250, 78228, 128664, 94995, 128348, 128362, 128531, 13, 130717, 128327, 11, 78228, 64061, 97483, 59735, 129675, 128268, 128611, 130158, 78228, 128322, 128410, 129367, 129922, 128319, 128400, 128250, 78228, 128301, 69086, 132122, 128978, 128740, 142267, 128250, 128871, 128726, 129019, 130990, 128269, 128324, 29974, 11, 69086, 128270, 28776, 128289, 128556, 128886, 2600, 78228, 126258, 128595, 79126, 28776, 128475, 128611, 128263, 78228, 126258, 128595, 92105, 13, 128984, 142226, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2073, 34, 6654, 65526, 66, 854, 58547, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 137327, 137451, 139063, 128683, 129101, 130906, 342, 22516, 59735, 128819, 128279, 489, 524, 129461, 58547, 272, 2185, 128376, 2600, 78228, 137971, 128603, 128465, 128273, 128314, 128449, 86139, 128300, 220, 17, 23, 14, 16, 16, 37915, 1036, 66, 6654, 65526, 66, 854, 129045, 92430, 128465, 126199, 128819, 128282, 128611, 128328, 856, 19533, 127657, 84, 78228, 128421, 129014, 128542, 922, 276, 624, 53, 50483, 128861, 130540, 92430, 24790, 96535, 28776, 128254, 128400, 128285, 128465, 128263, 78228, 134666, 922, 276, 128457, 129181, 128819, 128250, 78228, 128301, 13, 910, 124935, 128314, 126199, 7777, 352, 32154, 94994, 128253, 92430, 24790, 130906, 342, 22516, 20303, 126961, 128467, 128279, 84207, 15122, 11, 129645, 1163, 124933, 47742, 444, 91012, 133670, 479, 125877, 79126, 129541, 128599, 128350, 128595, 58547, 47742, 2600, 128640, 128373, 128285, 96535, 53037, 128253, 128882, 128675, 131579, 128263, 78228, 308, 71431, 128599, 293, 5498, 16719, 128978, 128310, 128918, 126199, 128320, 14854, 68, 294, 41603, 64, 97832, 129461, 128268, 128260, 128277, 128386, 59735, 128253, 128251, 28776, 129064, 69086, 78228, 128556, 88057, 13, 356, 21742, 129029, 129528, 142769, 342, 22516, 128819, 15033, 8120, 138618, 138532, 129212, 129645, 1163, 124933, 8397, 83551, 137429, 128818, 128367, 96535, 53037, 131084, 18698, 16719, 128311, 95082, 47742, 128268, 53037, 128333, 128338, 128784, 95082, 59735, 128819, 128344, 28776, 128254, 128882, 128492, 129589, 131307, 129222, 53037, 98127, 128447, 128994, 130123, 128311, 95082, 128421, 130906, 59735, 128819, 126199, 128320, 128400, 128285, 128447, 128329, 1308, 71, 47742, 89437, 136078, 59735, 128301, 96535, 128273, 128401, 128314, 128449, 13, 647, 50483, 128289, 128273, 63478, 1062, 72, 37915, 134168, 128550, 128263, 129240, 78228, 128275, 130906, 342, 22516, 128819, 128273, 128314, 128449, 79126, 63478, 128498, 128451, 129017, 128880, 131840, 129742, 130681, 128310, 137789, 444, 124417, 350, 20229, 133170, 11, 128249, 128300, 131309, 128906, 128738, 922, 276, 128550, 59735, 128251, 128819, 11, 79668, 133691, 137968, 856, 19533, 127657, 84, 128277, 142481, 134897, 28776, 128254, 293, 88771, 128350, 94994, 128253, 128370, 130985, 20303, 126961, 128467, 128265, 128249, 128310, 128853, 17669, 128249, 128301, 128352, 128270, 128279, 1319, 124841, 135247, 13, 135997, 128275, 131400, 128854, 78228, 128301, 128273, 128314, 128449, 128268, 53037, 133844, 98170, 128265, 128373, 128285, 59735, 58547, 13, 131160, 220, 18, 15, 14, 16, 16, 11, 5665, 9896, 79126, 12788, 38830, 379, 51580, 128249, 92430, 129410, 131928, 128421, 128250, 128275, 128688, 128980, 489, 524, 129461, 58547, 59407, 11, 220, 18, 24, 128790, 11, 128664, 131443, 8330, 11, 128329, 129598, 128250, 128289, 128930, 128436, 9450, 86139, 98896, 95082, 489, 4076, 308, 3202, 61758, 128278, 59735, 126341, 128502, 96535, 13, 139014, 69086, 130681, 73525, 11, 128419, 128338, 127980, 128978, 130215, 130726, 42812, 28776, 128253, 128960, 128871, 126199, 279, 78, 78228, 128275, 129036, 128761, 37915, 129240, 128368, 139529, 133863, 128487, 128651, 127657, 84, 293, 132540, 32154, 128367, 293, 124551, 1319, 77689, 129181, 46051, 133318, 143656, 137713, 128300, 220, 17, 18, 14, 16, 16, 13, 41016, 128253, 308, 71431, 128599, 130906, 342, 22516, 128664, 128384, 128250, 74542, 128491, 46051, 128301, 128757, 128368, 139529, 133863, 69086, 922, 276, 128457, 130906, 342, 22516, 128651, 132222, 128403, 128432, 128291, 130442, 128494, 47742, 128819, 128300, 220, 17, 23, 14, 16, 16, 79126, 129263, 128373, 128564, 128553, 130121, 128465, 128273, 130027, 130597, 131039, 11, 128564, 128553, 130121, 126199, 6826, 5626, 8065, 143656, 137713, 2600, 37915, 28776, 128439, 94994, 124634, 23165, 125531, 128421, 128250, 126247, 13, 431, 125058, 128268, 7777, 352, 32154, 128270, 11, 128300, 220, 18, 14, 16, 17, 11, 128819, 47742, 129898, 130164, 79126, 128802, 128278, 128564, 128553, 130121, 126370, 130179, 128465, 128281, 94576, 128371, 128447, 308, 352, 128272, 130027, 129898, 130164, 128914, 128627, 131638, 143656, 137713, 13, 128965, 128285, 131860, 96535, 2600, 128391, 128419, 128338, 128272, 127980, 128978, 96535, 128651, 28776, 131575, 128423, 135378, 127657, 84, 47742, 128893, 136525, 129748, 128314, 128449, 128906, 128738, 775, 138039, 13, 129005, 128277, 129065, 128465, 128354, 59735, 128314, 128449, 69086, 130681, 37915, 129935, 130097, 82763, 48, 128265, 128871, 128726, 129019, 130990, 128568, 128720, 220, 16, 21, 320, 34, 3067, 220, 16, 21, 8, 23165, 2143, 296, 124904, 128300, 220, 17, 24, 14, 16, 16, 128272, 64061, 128974, 80323, 360, 11, 12270, 128250, 129168, 220, 17, 20, 13, 15, 15, 15, 128479, 129626, 94576, 220, 16, 24, 19, 128301, 270, 309, 94995, 128534, 220, 124603, 23165, 2185, 82763, 48, 320, 1861, 37, 53873, 8, 270, 309, 126258, 13, 422, 14926, 128322, 128410, 128949, 74542, 139272, 5492, 78228, 128479, 129626, 270, 309, 126258, 67572, 12, 16, 21, 128582, 128845, 128784, 128396, 129664, 63478, 128249, 141741, 220, 124603, 50196, 128439, 135111, 135571, 128265, 128513, 128356, 131763, 270, 352, 128314, 141127, 128333, 129101, 81022, 128267, 128906, 128423, 128599, 86139, 128290, 220, 17, 15, 16, 17, 13, 84137, 78228, 128275, 72067, 64, 128292, 11, 128375, 129019, 270, 75050, 7284, 17, 128273, 128401, 128451, 128290, 220, 17, 15, 15, 23, 79126, 128529, 128304, 220, 19, 15, 4, 773, 128250, 128290, 220, 16, 24, 24, 15, 653, 128249, 65526, 128301, 128260, 128819, 53037, 128757, 63478, 128375, 129019, 270, 75050, 11, 69086, 94994, 128375, 129019, 270, 75050, 59735, 128249, 65526, 128301, 128348, 128362, 128531, 11, 69086, 128270, 28776, 1163, 2185, 128494, 11, 85852, 128529, 128818, 13, 131677, 67572, 220, 16, 21, 11, 128324, 29974, 270, 309, 94995, 46051, 128811, 85536, 128311, 25, 128534, 220, 124603, 20165, 2185, 128265, 128871, 128726, 129019, 130990, 320, 1861, 37, 53873, 8, 47742, 141127, 128333, 129101, 81022, 13, 130798, 136290, 129126, 350, 124644, 11, 133761, 647, 50483, 129528, 647, 50483, 472, 84300, 79, 128400, 128664, 128384, 129029, 134352, 129031, 47742, 386, 124312, 128331, 11, 64061, 97483, 129675, 128324, 29974, 2600, 128345, 69086, 128811, 85536, 128542, 922, 276, 128263, 128534, 220, 124603, 11, 128324, 29974, 293, 35234, 129261, 128463, 132972, 129748, 128265, 128745, 128740, 11, 128757, 131314, 11, 128322, 128751, 128556, 128311, 47742, 128830, 342, 22516, 62029, 128781, 128250, 129203, 134569, 128266, 129398, 131368, 129414, 134362, 128757, 128362, 270, 75050, 129019, 128275, 131921, 47742, 131368, 129414, 128830, 342, 22516, 62029, 128781, 11, 272, 2185, 128376, 128556, 128311, 47742, 128529, 132300, 128365, 128599, 59735, 78228, 128301, 128362, 128531, 128421, 128250, 78228, 128664, 94995, 128348, 128362, 128531, 13, 130717, 128327, 11, 78228, 64061, 97483, 59735, 129675, 128268, 128611, 130158, 78228, 128322, 128410, 129367, 129922, 128319, 128400, 128250, 78228, 128301, 69086, 132122, 128978, 128740, 142267, 128250, 128871, 128726, 129019, 130990, 128269, 128324, 29974, 11, 69086, 128270, 28776, 128289, 128556, 128886, 2600, 78228, 126258, 128595, 79126, 28776, 128475, 128611, 128263, 78228, 126258, 128595, 92105, 13, 128984, 142226, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052 ]
1,053
[ 1001, 2426, 97832, 63478, 128918, 128509, 130929, 61328, 130906, 133687, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129029, 133218, 129677, 47742, 50327, 125017, 128425, 128267, 126341, 128502, 61328, 220, 21, 130906, 133687, 128272, 128880, 61328, 4434, 2828, 128494, 94995, 220, 17, 15, 16, 20, 130068, 25, 22325, 26068, 968, 1527, 71, 11, 22325, 26068, 968, 132034, 11, 22325, 26068, 968, 1163, 2185, 11, 22325, 26068, 968, 451, 6743, 11, 22325, 26068, 968, 129938, 47742, 22325, 26068, 968, 129898, 13, 663, 2426, 97832, 28776, 128254, 129506, 128509, 130929, 128352, 79668, 129831, 128319, 128250, 128365, 128599, 59735, 128312, 128329, 128327, 131678, 128994, 2600, 128289, 128353, 128284, 128403, 128432, 59735, 130929, 126258, 61328, 624, 40225, 39938, 61328, 128290, 220, 17, 15, 16, 20, 129551, 128417, 129036, 128585, 128361, 128368, 1112, 136745, 128653, 129418, 129212, 130929, 61328, 79668, 130985, 131535, 86139, 1112, 138824, 135863, 97832, 63478, 128376, 220, 19, 131826, 128977, 128370, 128403, 1112, 129029, 39627, 136256, 128486, 130925, 270, 124431, 131880, 128265, 129705, 76, 61328, 4434, 2828, 9338, 39, 82026, 97832, 137192, 133361, 320, 39, 75050, 130695, 8, 128283, 128348, 128292, 130929, 130906, 133687, 128311, 128269, 128331, 37915, 128607, 132034, 13, 129024, 128260, 128728, 128290, 61328, 64061, 46051, 14854, 84300, 83, 128291, 128292, 97832, 128292, 128607, 132034, 11, 1163, 2185, 11, 129898, 128487, 61328, 63478, 128607, 1527, 71, 94994, 61328, 128479, 128292, 13, 133907, 97832, 133361, 129087, 11, 128272, 133169, 61328, 4434, 2828, 128494, 94995, 220, 17, 15, 16, 20, 11, 128292, 97832, 133361, 28776, 63478, 128509, 130906, 133687, 79668, 61328, 37915, 128607, 1527, 71, 53037, 5267, 53, 39938, 128580, 128456, 96535, 11, 129029, 133218, 129677, 47742, 50327, 125017, 128425, 129477, 128814, 128260, 32154, 510, 42, 125562, 61328, 4434, 2828, 128494, 94995, 128290, 220, 17, 15, 16, 20, 129203, 134569, 79668, 130985, 62029, 128370, 128418, 128386, 4434, 2828, 11, 128329, 128327, 78228, 128331, 128479, 128292, 11, 2162, 78, 136338, 128353, 128284, 128403, 128432, 128266, 129209, 126500, 131535, 97832, 86139, 128479, 128292, 11, 2162, 78, 136338, 13, 130526, 63478, 130985, 62029, 128370, 128418, 128386, 4434, 2828, 11, 135863, 97832, 128282, 126258, 61328, 220, 18, 130929, 128802, 1031, 124504, 37915, 2014, 11390, 11, 16619, 55973, 128683, 11, 142769, 133687, 47742, 128249, 130929, 128377, 128509, 69086, 78228, 130929, 25, 647, 52885, 31750, 11, 140304, 128292, 11, 17632, 71, 128292, 11, 141034, 128353, 47742, 134467, 31750, 13, 130526, 63478, 130985, 131535, 86139, 128479, 128292, 11, 2162, 78, 136338, 11, 135863, 97832, 128282, 28776, 128403, 128432, 128406, 59735, 78228, 130929, 86139, 128292, 129857, 126199, 128331, 128479, 128292, 11, 2162, 78, 136338, 79126, 62029, 128888, 624, 53, 39938, 61328, 130929, 130906, 133687, 11, 128267, 126341, 128502, 61328, 78228, 130929, 25, 22325, 26068, 968, 1527, 71, 11, 22325, 26068, 968, 132034, 11, 22325, 26068, 968, 1163, 2185, 11, 22325, 26068, 968, 451, 6743, 11, 22325, 26068, 968, 129938, 47742, 22325, 26068, 968, 129898, 13, 133907, 97832, 137192, 133361, 28776, 128254, 129506, 128509, 130929, 128352, 79668, 129831, 128319, 128250, 128365, 128599, 59735, 128312, 128329, 128327, 131678, 128994, 2600, 128289, 128353, 128284, 128403, 128432, 59735, 130929, 126258, 61328, 624, 1143, 20868, 759, 84, 75157, 624, 51, 124185, 131774, 25, 220, 4434, 2828, 128494, 94995, 1154, 130906, 133687, 1154, 128479, 128292, 1154, 2162, 78, 136338, 1154, 130985, 131535, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 2426, 97832, 63478, 128918, 128509, 130929, 61328, 130906, 133687, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129029, 133218, 129677, 47742, 50327, 125017, 128425, 128267, 126341, 128502, 61328, 220, 21, 130906, 133687, 128272, 128880, 61328, 4434, 2828, 128494, 94995, 220, 17, 15, 16, 20, 130068, 25, 22325, 26068, 968, 1527, 71, 11, 22325, 26068, 968, 132034, 11, 22325, 26068, 968, 1163, 2185, 11, 22325, 26068, 968, 451, 6743, 11, 22325, 26068, 968, 129938, 47742, 22325, 26068, 968, 129898, 13, 663, 2426, 97832, 28776, 128254, 129506, 128509, 130929, 128352, 79668, 129831, 128319, 128250, 128365, 128599, 59735, 128312, 128329, 128327, 131678, 128994, 2600, 128289, 128353, 128284, 128403, 128432, 59735, 130929, 126258, 61328, 624, 40225, 39938, 61328, 128290, 220, 17, 15, 16, 20, 129551, 128417, 129036, 128585, 128361, 128368, 1112, 136745, 128653, 129418, 129212, 130929, 61328, 79668, 130985, 131535, 86139, 1112, 138824, 135863, 97832, 63478, 128376, 220, 19, 131826, 128977, 128370, 128403, 1112, 129029, 39627, 136256, 128486, 130925, 270, 124431, 131880, 128265, 129705, 76, 61328, 4434, 2828, 9338, 39, 82026, 97832, 137192, 133361, 320, 39, 75050, 130695, 8, 128283, 128348, 128292, 130929, 130906, 133687, 128311, 128269, 128331, 37915, 128607, 132034, 13, 129024, 128260, 128728, 128290, 61328, 64061, 46051, 14854, 84300, 83, 128291, 128292, 97832, 128292, 128607, 132034, 11, 1163, 2185, 11, 129898, 128487, 61328, 63478, 128607, 1527, 71, 94994, 61328, 128479, 128292, 13, 133907, 97832, 133361, 129087, 11, 128272, 133169, 61328, 4434, 2828, 128494, 94995, 220, 17, 15, 16, 20, 11, 128292, 97832, 133361, 28776, 63478, 128509, 130906, 133687, 79668, 61328, 37915, 128607, 1527, 71, 53037, 5267, 53, 39938, 128580, 128456, 96535, 11, 129029, 133218, 129677, 47742, 50327, 125017, 128425, 129477, 128814, 128260, 32154, 510, 42, 125562, 61328, 4434, 2828, 128494, 94995, 128290, 220, 17, 15, 16, 20, 129203, 134569, 79668, 130985, 62029, 128370, 128418, 128386, 4434, 2828, 11, 128329, 128327, 78228, 128331, 128479, 128292, 11, 2162, 78, 136338, 128353, 128284, 128403, 128432, 128266, 129209, 126500, 131535, 97832, 86139, 128479, 128292, 11, 2162, 78, 136338, 13, 130526, 63478, 130985, 62029, 128370, 128418, 128386, 4434, 2828, 11, 135863, 97832, 128282, 126258, 61328, 220, 18, 130929, 128802, 1031, 124504, 37915, 2014, 11390, 11, 16619, 55973, 128683, 11, 142769, 133687, 47742, 128249, 130929, 128377, 128509, 69086, 78228, 130929, 25, 647, 52885, 31750, 11, 140304, 128292, 11, 17632, 71, 128292, 11, 141034, 128353, 47742, 134467, 31750, 13, 130526, 63478, 130985, 131535, 86139, 128479, 128292, 11, 2162, 78, 136338, 11, 135863, 97832, 128282, 28776, 128403, 128432, 128406, 59735, 78228, 130929, 86139, 128292, 129857, 126199, 128331, 128479, 128292, 11, 2162, 78, 136338, 79126, 62029, 128888, 624, 53, 39938, 61328, 130929, 130906, 133687, 11, 128267, 126341, 128502, 61328, 78228, 130929, 25, 22325, 26068, 968, 1527, 71, 11, 22325, 26068, 968, 132034, 11, 22325, 26068, 968, 1163, 2185, 11, 22325, 26068, 968, 451, 6743, 11, 22325, 26068, 968, 129938, 47742, 22325, 26068, 968, 129898, 13, 133907, 97832, 137192, 133361, 28776, 128254, 129506, 128509, 130929, 128352, 79668, 129831, 128319, 128250, 128365, 128599, 59735, 128312, 128329, 128327, 131678, 128994, 2600, 128289, 128353, 128284, 128403, 128432, 59735, 130929, 126258, 61328, 624, 1143, 20868, 759, 84, 75157, 624, 51, 124185, 131774, 25, 220, 4434, 2828, 128494, 94995, 1154, 130906, 133687, 1154, 128479, 128292, 1154, 2162, 78, 136338, 1154, 130985, 131535, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528 ]
529
[ 1001, 48291, 128980, 129935, 128329, 128376, 129645, 128301, 130985, 133269, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 698, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 128784, 128333, 64061, 128980, 129935, 128329, 128376, 129645, 128301, 130985, 133269, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 497, 330, 1001, 125662, 129374, 130483, 89218, 1, 128568, 128720, 220, 16, 15, 13, 129935, 128329, 130068, 220, 16, 18, 64061, 97483, 653, 133761, 133218, 129773, 11, 133778, 128916, 11, 663, 125662, 129374, 128310, 128394, 11, 129029, 129528, 129029, 809, 128384, 128984, 130934, 13509, 133778, 128266, 130085, 131443, 129935, 128329, 624, 18, 133761, 130085, 131443, 129935, 128329, 130068, 25, 130798, 138219, 129126, 50327, 127845, 11, 133761, 129528, 8943, 22730, 59123, 141305, 481, 730, 12032, 132720, 1163, 2185, 220, 85375, 26, 129302, 128984, 130934, 1599, 124527, 11, 133761, 133218, 129773, 11, 133778, 128916, 11, 663, 125662, 129374, 128310, 128394, 11, 132496, 129528, 129029, 809, 128384, 26, 128436, 131699, 143965, 129938, 11, 663, 98210, 131943, 11, 133778, 128916, 11, 132496, 129528, 129029, 128494, 128441, 624, 39, 124489, 128329, 28776, 129414, 128367, 128430, 130390, 131943, 129591, 130388, 856, 336, 130985, 11, 129506, 128509, 128253, 58701, 128310, 28776, 129078, 128575, 129311, 79668, 128361, 130085, 131443, 128301, 133269, 78228, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 497, 330, 1001, 125662, 129374, 130483, 89218, 3263, 356, 18698, 66, 58701, 128310, 63478, 128456, 130097, 130985, 133269, 98896, 128423, 128282, 63478, 129530, 128281, 220, 24, 15, 4, 65526, 137535, 128329, 128431, 59735, 129822, 65526, 78228, 64061, 97483, 129935, 128329, 624, 34, 124626, 126500, 128403, 129748, 11, 128935, 130097, 59735, 78228, 129935, 128329, 128376, 129029, 11, 128376, 129018, 11, 129935, 128329, 129263, 128373, 132972, 129748, 11, 129017, 137535, 595, 24217, 128421, 128250, 128981, 58701, 128310, 63478, 128456, 130097, 11, 128980, 11563, 71, 95082, 78228, 58701, 128310, 63478, 128456, 130097, 133269, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 497, 330, 1001, 125662, 129374, 130483, 89218, 1, 279, 78, 128981, 132122, 128978, 47742, 92430, 128603, 62029, 23165, 2143, 11563, 71, 95082, 96535, 128273, 78228, 128675, 129698, 92430, 24790, 128479, 128347, 69086, 128327, 342, 1103, 220, 16, 15, 128300, 128266, 128289, 11, 130291, 94576, 94994, 28776, 128403, 128432, 130985, 133269, 98896, 128423, 59735, 129935, 128329, 624, 50, 2863, 94994, 129822, 128319, 128403, 128432, 130985, 133269, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 497, 330, 1001, 125662, 129374, 130483, 89218, 1, 47742, 270, 309, 132123, 11, 128424, 77374, 128431, 128935, 128273, 78228, 128675, 129698, 92430, 24790, 128479, 128347, 320, 77, 92599, 28776, 701, 129935, 128329, 130506, 129122, 129582, 128263, 22730, 59123, 141305, 481, 730, 12032, 132720, 1163, 2185, 220, 85375, 133024, 128333, 11, 128603, 129410, 130390, 131943, 129591, 130388, 79668, 856, 336, 130985, 11, 128361, 130085, 131443, 128301, 624, 39, 124489, 128329, 128377, 128486, 128254, 32154, 94994, 128643, 64061, 129414, 128367, 63478, 342, 22516, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 48291, 128980, 129935, 128329, 128376, 129645, 128301, 130985, 133269, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 698, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 128784, 128333, 64061, 128980, 129935, 128329, 128376, 129645, 128301, 130985, 133269, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 497, 330, 1001, 125662, 129374, 130483, 89218, 1, 128568, 128720, 220, 16, 15, 13, 129935, 128329, 130068, 220, 16, 18, 64061, 97483, 653, 133761, 133218, 129773, 11, 133778, 128916, 11, 663, 125662, 129374, 128310, 128394, 11, 129029, 129528, 129029, 809, 128384, 128984, 130934, 13509, 133778, 128266, 130085, 131443, 129935, 128329, 624, 18, 133761, 130085, 131443, 129935, 128329, 130068, 25, 130798, 138219, 129126, 50327, 127845, 11, 133761, 129528, 8943, 22730, 59123, 141305, 481, 730, 12032, 132720, 1163, 2185, 220, 85375, 26, 129302, 128984, 130934, 1599, 124527, 11, 133761, 133218, 129773, 11, 133778, 128916, 11, 663, 125662, 129374, 128310, 128394, 11, 132496, 129528, 129029, 809, 128384, 26, 128436, 131699, 143965, 129938, 11, 663, 98210, 131943, 11, 133778, 128916, 11, 132496, 129528, 129029, 128494, 128441, 624, 39, 124489, 128329, 28776, 129414, 128367, 128430, 130390, 131943, 129591, 130388, 856, 336, 130985, 11, 129506, 128509, 128253, 58701, 128310, 28776, 129078, 128575, 129311, 79668, 128361, 130085, 131443, 128301, 133269, 78228, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 497, 330, 1001, 125662, 129374, 130483, 89218, 3263, 356, 18698, 66, 58701, 128310, 63478, 128456, 130097, 130985, 133269, 98896, 128423, 128282, 63478, 129530, 128281, 220, 24, 15, 4, 65526, 137535, 128329, 128431, 59735, 129822, 65526, 78228, 64061, 97483, 129935, 128329, 624, 34, 124626, 126500, 128403, 129748, 11, 128935, 130097, 59735, 78228, 129935, 128329, 128376, 129029, 11, 128376, 129018, 11, 129935, 128329, 129263, 128373, 132972, 129748, 11, 129017, 137535, 595, 24217, 128421, 128250, 128981, 58701, 128310, 63478, 128456, 130097, 11, 128980, 11563, 71, 95082, 78228, 58701, 128310, 63478, 128456, 130097, 133269, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 497, 330, 1001, 125662, 129374, 130483, 89218, 1, 279, 78, 128981, 132122, 128978, 47742, 92430, 128603, 62029, 23165, 2143, 11563, 71, 95082, 96535, 128273, 78228, 128675, 129698, 92430, 24790, 128479, 128347, 69086, 128327, 342, 1103, 220, 16, 15, 128300, 128266, 128289, 11, 130291, 94576, 94994, 28776, 128403, 128432, 130985, 133269, 98896, 128423, 59735, 129935, 128329, 624, 50, 2863, 94994, 129822, 128319, 128403, 128432, 130985, 133269, 98896, 128423, 330, 1001, 125662, 129374, 128310, 128394, 497, 330, 1001, 125662, 129374, 130483, 89218, 1, 47742, 270, 309, 132123, 11, 128424, 77374, 128431, 128935, 128273, 78228, 128675, 129698, 92430, 24790, 128479, 128347, 320, 77, 92599, 28776, 701, 129935, 128329, 130506, 129122, 129582, 128263, 22730, 59123, 141305, 481, 730, 12032, 132720, 1163, 2185, 220, 85375, 133024, 128333, 11, 128603, 129410, 130390, 131943, 129591, 130388, 79668, 856, 336, 130985, 11, 128361, 130085, 131443, 128301, 624, 39, 124489, 128329, 128377, 128486, 128254, 32154, 94994, 128643, 64061, 129414, 128367, 63478, 342, 22516, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 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
[ 1001, 42504, 131943, 128498, 128451, 128553, 489, 2185, 132611, 128904, 130990, 128432, 136733, 326, 124310, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 28776, 62029, 128484, 128498, 128451, 78228, 128366, 11, 129857, 11, 128704, 128675, 305, 4076, 128285, 128728, 128675, 129698, 11, 128599, 128375, 11, 128411, 128728, 137261, 128513, 128424, 136855, 11, 129156, 128886, 2600, 128310, 128394, 78228, 129018, 133318, 1163, 2185, 9285, 124317, 132019, 128279, 7777, 36745, 326, 50483, 83, 653, 136733, 326, 124310, 624, 20897, 53022, 220, 16, 22, 14, 16, 16, 11, 130390, 131943, 129591, 130388, 79126, 28776, 128534, 128484, 65526, 220, 16, 24, 21, 15, 11295, 40225, 9285, 51, 70, 128265, 128289, 132611, 128904, 130990, 128432, 136733, 326, 124310, 128272, 133318, 1163, 2185, 9285, 124317, 132019, 130506, 73061, 8065, 78228, 129018, 663, 125528, 131460, 11278, 84, 26068, 11, 129329, 135241, 11, 133314, 29974, 11, 133314, 16619, 126175, 11, 129336, 140401, 11, 479, 685, 444, 2143, 11, 23388, 350, 372, 26, 78228, 129029, 44678, 2828, 6408, 11, 128494, 128441, 11, 128534, 458, 11, 30923, 8505, 11, 11911, 20457, 11, 350, 14903, 51, 11, 128534, 137048, 11, 809, 128384, 26, 142394, 8943, 128494, 94995, 44299, 28668, 11, 22730, 132026, 128854, 393, 3140, 33, 1163, 2185, 220, 85375, 9338, 34, 24015, 128484, 308, 124634, 129398, 11, 94576, 128300, 220, 16, 20, 14, 16, 16, 128263, 308, 352, 11, 128272, 78228, 129018, 11208, 130027, 94576, 663, 125528, 131460, 11278, 84, 26068, 128263, 130751, 138902, 47742, 78228, 129018, 479, 685, 444, 2143, 11, 23388, 350, 372, 79126, 28776, 136733, 311, 128263, 128323, 311, 11, 128788, 128589, 37915, 128272, 78228, 129018, 663, 125528, 131460, 11278, 84, 26068, 11, 133314, 29974, 11, 133314, 16619, 126175, 13, 130017, 128375, 136733, 132175, 128871, 94576, 220, 19, 15, 15, 12, 21, 15, 15, 9465, 11, 128271, 128837, 128269, 133314, 16619, 126175, 129822, 128375, 136733, 128447, 128914, 220, 16, 13, 15, 15, 15, 9465, 13, 444, 124310, 128273, 78228, 134782, 128350, 308, 9917, 71, 11, 140868, 326, 124310, 128273, 134782, 647, 25232, 11, 134782, 1163, 6362, 20165, 124411, 11, 134782, 14322, 79126, 132629, 129240, 326, 124310, 128717, 128353, 128882, 7777, 36745, 326, 50483, 83, 128273, 129054, 129922, 11, 141753, 131579, 132932, 308, 39938, 128265, 97832, 129461, 11, 128556, 85636, 11, 128492, 129589, 134168, 128550, 128263, 85636, 128415, 11, 129169, 128480, 128310, 128394, 11, 128281, 37915, 128272, 78228, 129018, 133314, 16619, 126175, 11, 129336, 140401, 624, 1001, 42504, 131943, 129591, 130388, 130506, 128814, 133171, 129087, 11, 521, 685, 136100, 131307, 129222, 128263, 128672, 128310, 128253, 94995, 128890, 28776, 128251, 128279, 130276, 11, 129276, 128761, 11, 128251, 128279, 128560, 624, 13048, 51054, 308, 352, 11, 326, 124310, 78228, 134782, 128320, 128348, 128269, 129240, 2162, 78, 11, 128960, 128871, 128320, 142244, 138628, 11, 79668, 128427, 128285, 128441, 11, 129455, 326, 124310, 11, 129572, 128751, 141753, 131579, 11, 130390, 131943, 129591, 130388, 128498, 128451, 73061, 8065, 78228, 129018, 11, 64061, 128974, 128424, 128884, 435, 6362, 134814, 11, 128427, 128285, 1853, 294, 124315, 128394, 15122, 130553, 78228, 129838, 128279, 7777, 4076, 131491, 28776, 7777, 4076, 128322, 128279, 326, 124310, 922, 10302, 11, 274, 124646, 326, 78820, 11, 129838, 128279, 7777, 36745, 131307, 128263, 128837, 458, 128401, 624, 39, 4076, 128285, 128728, 128675, 129698, 11, 128599, 128375, 11, 128411, 128728, 137261, 128513, 128424, 136855, 128253, 127980, 128394, 129447, 128320, 128279, 7777, 36745, 131307, 11, 521, 685, 134362, 26, 126341, 128502, 129156, 128886, 135803, 128336, 11, 128301, 130069, 11, 141580, 129553, 79479, 2600, 128310, 128394, 11, 128281, 37915, 128253, 128251, 128394, 128651, 129582, 141873, 137288, 128272, 78228, 127980, 128978, 128279, 7777, 36745, 131307, 11, 129551, 128417, 53037, 79668, 128251, 128394, 128352, 128279, 14854, 125444, 11, 23165, 16685, 624, 51, 60257, 128502, 129156, 130489, 128251, 128279, 128560, 11, 129481, 128886, 16737, 79584, 968, 128251, 141753, 129461, 13, 130717, 128327, 11, 134603, 128251, 646, 71, 342, 29341, 11, 129522, 134814, 342, 22516, 92430, 11, 128846, 128653, 128289, 73586, 85852, 458, 128401, 73525, 78228, 293, 70248, 138584, 7777, 524, 11, 78228, 7777, 125139, 342, 22516, 92430, 128279, 7777, 36745, 131307, 11, 128301, 138886, 37590, 51580, 624, 128189, 88, 8943, 128494, 94995, 137328, 130158, 129156, 132864, 11, 129029, 128494, 128441, 11, 129029, 128534, 458, 98127, 128854, 128599, 128375, 128611, 130158, 129156, 132864, 11, 78228, 128599, 128375, 129866, 129188, 11, 62029, 458, 128273, 128704, 129030, 128531, 23165, 2143, 128599, 128375, 11, 128675, 129698, 128336, 128283, 128289, 129582, 141873, 128310, 128394, 11, 129156, 132864, 11, 129156, 126469, 279, 78, 128456, 130097, 59735, 128704, 128675, 624, 34, 29341, 129029, 44678, 2828, 6408, 11, 128534, 137048, 279, 78, 136753, 129261, 128960, 128871, 59735, 136733, 326, 124310, 11, 131628, 128319, 128250, 78228, 128704, 128675, 98127, 128854, 129984, 128373, 78228, 129122, 133456, 132601, 128994, 11, 132601, 128484, 69086, 127980, 128978, 79668, 129551, 128417, 458, 128401, 11, 131072, 128463, 134362, 128757, 326, 124310, 2600, 131140, 3845, 345, 33, 37678, 128534, 137048, 98127, 128854, 129984, 128373, 458, 128401, 128457, 128573, 141593, 128484, 11, 129311, 128279, 129078, 129738, 135803, 128336, 11, 128336, 79479, 11, 61758, 128585, 128422, 129553, 11, 129522, 134814, 137277, 521, 124760, 128309, 125440, 78228, 128387, 61758, 128422, 129553, 11, 53037, 79668, 128419, 129916, 136733, 326, 124310, 128529, 128309, 624, 33, 37678, 11911, 20457, 98127, 128854, 78228, 128666, 128444, 128542, 922, 276, 128553, 489, 2185, 132611, 128904, 308, 9917, 71, 78228, 130980, 342, 22516, 92430, 128311, 128279, 128277, 129234, 11, 274, 124646, 326, 78820, 7777, 352, 32154, 94994, 326, 124310, 137335, 11, 128281, 37915, 128273, 130980, 128494, 130540, 220, 16, 32, 11, 130980, 128448, 139961, 130726, 11250, 309, 624, 33, 37678, 809, 128384, 98127, 128854, 128599, 128375, 379, 128384, 128322, 128760, 47742, 78228, 128666, 128444, 128542, 922, 276, 272, 2185, 128376, 129078, 128322, 65526, 129374, 130489, 128453, 11, 128441, 129455, 128507, 128453, 11, 128417, 129551, 128289, 131797, 130489, 128453, 137288, 128327, 2600, 128310, 128394, 129838, 7777, 36745, 326, 124310, 11, 53037, 79668, 128362, 97832, 128507, 128453, 624, 34, 29341, 128366, 11, 129857, 128542, 922, 276, 279, 78, 128502, 128365, 47742, 129414, 128367, 59735, 128312, 98127, 128854, 78228, 128666, 128444, 129372, 129281, 133691, 137968, 128430, 137205, 128704, 128675, 94994, 28776, 128498, 128451, 11, 129481, 128886, 78228, 128704, 128675, 133713, 128333, 129169, 128480, 47742, 128904, 130344, 85636, 128415, 7777, 352, 32154, 94994, 326, 124310, 137335, 624, 33, 37678, 30923, 8505, 98127, 128854, 1163, 2185, 128396, 730, 14903, 53, 128494, 94995, 128424, 128884, 279, 78, 136753, 128960, 128871, 59735, 136733, 11, 326, 124310, 11, 126258, 128603, 47742, 272, 2185, 128376, 92430, 24790, 137288, 128327, 128904, 128367, 62029, 128400, 98127, 128854, 47742, 92430, 128603, 2600, 128310, 128394, 128345, 79668, 128427, 128285, 128441, 11, 131282, 624, 40225, 58506, 129938, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 42504, 131943, 128498, 128451, 128553, 489, 2185, 132611, 128904, 130990, 128432, 136733, 326, 124310, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 28776, 62029, 128484, 128498, 128451, 78228, 128366, 11, 129857, 11, 128704, 128675, 305, 4076, 128285, 128728, 128675, 129698, 11, 128599, 128375, 11, 128411, 128728, 137261, 128513, 128424, 136855, 11, 129156, 128886, 2600, 128310, 128394, 78228, 129018, 133318, 1163, 2185, 9285, 124317, 132019, 128279, 7777, 36745, 326, 50483, 83, 653, 136733, 326, 124310, 624, 20897, 53022, 220, 16, 22, 14, 16, 16, 11, 130390, 131943, 129591, 130388, 79126, 28776, 128534, 128484, 65526, 220, 16, 24, 21, 15, 11295, 40225, 9285, 51, 70, 128265, 128289, 132611, 128904, 130990, 128432, 136733, 326, 124310, 128272, 133318, 1163, 2185, 9285, 124317, 132019, 130506, 73061, 8065, 78228, 129018, 663, 125528, 131460, 11278, 84, 26068, 11, 129329, 135241, 11, 133314, 29974, 11, 133314, 16619, 126175, 11, 129336, 140401, 11, 479, 685, 444, 2143, 11, 23388, 350, 372, 26, 78228, 129029, 44678, 2828, 6408, 11, 128494, 128441, 11, 128534, 458, 11, 30923, 8505, 11, 11911, 20457, 11, 350, 14903, 51, 11, 128534, 137048, 11, 809, 128384, 26, 142394, 8943, 128494, 94995, 44299, 28668, 11, 22730, 132026, 128854, 393, 3140, 33, 1163, 2185, 220, 85375, 9338, 34, 24015, 128484, 308, 124634, 129398, 11, 94576, 128300, 220, 16, 20, 14, 16, 16, 128263, 308, 352, 11, 128272, 78228, 129018, 11208, 130027, 94576, 663, 125528, 131460, 11278, 84, 26068, 128263, 130751, 138902, 47742, 78228, 129018, 479, 685, 444, 2143, 11, 23388, 350, 372, 79126, 28776, 136733, 311, 128263, 128323, 311, 11, 128788, 128589, 37915, 128272, 78228, 129018, 663, 125528, 131460, 11278, 84, 26068, 11, 133314, 29974, 11, 133314, 16619, 126175, 13, 130017, 128375, 136733, 132175, 128871, 94576, 220, 19, 15, 15, 12, 21, 15, 15, 9465, 11, 128271, 128837, 128269, 133314, 16619, 126175, 129822, 128375, 136733, 128447, 128914, 220, 16, 13, 15, 15, 15, 9465, 13, 444, 124310, 128273, 78228, 134782, 128350, 308, 9917, 71, 11, 140868, 326, 124310, 128273, 134782, 647, 25232, 11, 134782, 1163, 6362, 20165, 124411, 11, 134782, 14322, 79126, 132629, 129240, 326, 124310, 128717, 128353, 128882, 7777, 36745, 326, 50483, 83, 128273, 129054, 129922, 11, 141753, 131579, 132932, 308, 39938, 128265, 97832, 129461, 11, 128556, 85636, 11, 128492, 129589, 134168, 128550, 128263, 85636, 128415, 11, 129169, 128480, 128310, 128394, 11, 128281, 37915, 128272, 78228, 129018, 133314, 16619, 126175, 11, 129336, 140401, 624, 1001, 42504, 131943, 129591, 130388, 130506, 128814, 133171, 129087, 11, 521, 685, 136100, 131307, 129222, 128263, 128672, 128310, 128253, 94995, 128890, 28776, 128251, 128279, 130276, 11, 129276, 128761, 11, 128251, 128279, 128560, 624, 13048, 51054, 308, 352, 11, 326, 124310, 78228, 134782, 128320, 128348, 128269, 129240, 2162, 78, 11, 128960, 128871, 128320, 142244, 138628, 11, 79668, 128427, 128285, 128441, 11, 129455, 326, 124310, 11, 129572, 128751, 141753, 131579, 11, 130390, 131943, 129591, 130388, 128498, 128451, 73061, 8065, 78228, 129018, 11, 64061, 128974, 128424, 128884, 435, 6362, 134814, 11, 128427, 128285, 1853, 294, 124315, 128394, 15122, 130553, 78228, 129838, 128279, 7777, 4076, 131491, 28776, 7777, 4076, 128322, 128279, 326, 124310, 922, 10302, 11, 274, 124646, 326, 78820, 11, 129838, 128279, 7777, 36745, 131307, 128263, 128837, 458, 128401, 624, 39, 4076, 128285, 128728, 128675, 129698, 11, 128599, 128375, 11, 128411, 128728, 137261, 128513, 128424, 136855, 128253, 127980, 128394, 129447, 128320, 128279, 7777, 36745, 131307, 11, 521, 685, 134362, 26, 126341, 128502, 129156, 128886, 135803, 128336, 11, 128301, 130069, 11, 141580, 129553, 79479, 2600, 128310, 128394, 11, 128281, 37915, 128253, 128251, 128394, 128651, 129582, 141873, 137288, 128272, 78228, 127980, 128978, 128279, 7777, 36745, 131307, 11, 129551, 128417, 53037, 79668, 128251, 128394, 128352, 128279, 14854, 125444, 11, 23165, 16685, 624, 51, 60257, 128502, 129156, 130489, 128251, 128279, 128560, 11, 129481, 128886, 16737, 79584, 968, 128251, 141753, 129461, 13, 130717, 128327, 11, 134603, 128251, 646, 71, 342, 29341, 11, 129522, 134814, 342, 22516, 92430, 11, 128846, 128653, 128289, 73586, 85852, 458, 128401, 73525, 78228, 293, 70248, 138584, 7777, 524, 11, 78228, 7777, 125139, 342, 22516, 92430, 128279, 7777, 36745, 131307, 11, 128301, 138886, 37590, 51580, 624, 128189, 88, 8943, 128494, 94995, 137328, 130158, 129156, 132864, 11, 129029, 128494, 128441, 11, 129029, 128534, 458, 98127, 128854, 128599, 128375, 128611, 130158, 129156, 132864, 11, 78228, 128599, 128375, 129866, 129188, 11, 62029, 458, 128273, 128704, 129030, 128531, 23165, 2143, 128599, 128375, 11, 128675, 129698, 128336, 128283, 128289, 129582, 141873, 128310, 128394, 11, 129156, 132864, 11, 129156, 126469, 279, 78, 128456, 130097, 59735, 128704, 128675, 624, 34, 29341, 129029, 44678, 2828, 6408, 11, 128534, 137048, 279, 78, 136753, 129261, 128960, 128871, 59735, 136733, 326, 124310, 11, 131628, 128319, 128250, 78228, 128704, 128675, 98127, 128854, 129984, 128373, 78228, 129122, 133456, 132601, 128994, 11, 132601, 128484, 69086, 127980, 128978, 79668, 129551, 128417, 458, 128401, 11, 131072, 128463, 134362, 128757, 326, 124310, 2600, 131140, 3845, 345, 33, 37678, 128534, 137048, 98127, 128854, 129984, 128373, 458, 128401, 128457, 128573, 141593, 128484, 11, 129311, 128279, 129078, 129738, 135803, 128336, 11, 128336, 79479, 11, 61758, 128585, 128422, 129553, 11, 129522, 134814, 137277, 521, 124760, 128309, 125440, 78228, 128387, 61758, 128422, 129553, 11, 53037, 79668, 128419, 129916, 136733, 326, 124310, 128529, 128309, 624, 33, 37678, 11911, 20457, 98127, 128854, 78228, 128666, 128444, 128542, 922, 276, 128553, 489, 2185, 132611, 128904, 308, 9917, 71, 78228, 130980, 342, 22516, 92430, 128311, 128279, 128277, 129234, 11, 274, 124646, 326, 78820, 7777, 352, 32154, 94994, 326, 124310, 137335, 11, 128281, 37915, 128273, 130980, 128494, 130540, 220, 16, 32, 11, 130980, 128448, 139961, 130726, 11250, 309, 624, 33, 37678, 809, 128384, 98127, 128854, 128599, 128375, 379, 128384, 128322, 128760, 47742, 78228, 128666, 128444, 128542, 922, 276, 272, 2185, 128376, 129078, 128322, 65526, 129374, 130489, 128453, 11, 128441, 129455, 128507, 128453, 11, 128417, 129551, 128289, 131797, 130489, 128453, 137288, 128327, 2600, 128310, 128394, 129838, 7777, 36745, 326, 124310, 11, 53037, 79668, 128362, 97832, 128507, 128453, 624, 34, 29341, 128366, 11, 129857, 128542, 922, 276, 279, 78, 128502, 128365, 47742, 129414, 128367, 59735, 128312, 98127, 128854, 78228, 128666, 128444, 129372, 129281, 133691, 137968, 128430, 137205, 128704, 128675, 94994, 28776, 128498, 128451, 11, 129481, 128886, 78228, 128704, 128675, 133713, 128333, 129169, 128480, 47742, 128904, 130344, 85636, 128415, 7777, 352, 32154, 94994, 326, 124310, 137335, 624, 33, 37678, 30923, 8505, 98127, 128854, 1163, 2185, 128396, 730, 14903, 53, 128494, 94995, 128424, 128884, 279, 78, 136753, 128960, 128871, 59735, 136733, 11, 326, 124310, 11, 126258, 128603, 47742, 272, 2185, 128376, 92430, 24790, 137288, 128327, 128904, 128367, 62029, 128400, 98127, 128854, 47742, 92430, 128603, 2600, 128310, 128394, 128345, 79668, 128427, 128285, 128441, 11, 131282, 624, 40225, 58506, 129938, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076 ]
1,077
[ 42, 26068, 130361, 128319, 128400, 128611, 130158, 129156, 132864, 47742, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 128250, 63813, 2852, 573, 74443, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 79126, 134634, 141840, 730, 26068, 130361, 128336, 128283, 663, 85142, 64, 131678, 129181, 129591, 130388, 128301, 9450, 128250, 129591, 130388, 128301, 138465, 130669, 63813, 2852, 573, 74443, 128265, 128319, 128400, 69086, 132122, 128978, 128611, 128935, 129156, 132864, 47742, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 624, 785, 78, 730, 26068, 130361, 128319, 128400, 69086, 132122, 128978, 128611, 128935, 129156, 132864, 128273, 130027, 1154, 129414, 128367, 128845, 15122, 37915, 128643, 130509, 78228, 128799, 128884, 128513, 128356, 28776, 128542, 922, 276, 128263, 128289, 128531, 23165, 2143, 128336, 128283, 663, 85142, 64, 131678, 128611, 130158, 129156, 132864, 128273, 130027, 11, 279, 78, 128502, 128365, 129270, 128356, 128275, 128301, 59735, 78228, 129029, 11, 129857, 47742, 128704, 128675, 624, 33, 27021, 129623, 128270, 11, 128422, 128980, 128278, 134666, 128542, 133043, 129372, 128424, 59735, 128322, 922, 276, 129949, 131368, 129414, 128427, 132630, 128611, 130158, 129156, 132864, 128273, 130027, 59735, 128324, 29974, 128250, 128322, 922, 276, 129949, 131368, 129414, 128427, 132630, 128611, 130158, 129156, 132864, 128273, 130027, 59735, 63813, 2852, 573, 74443, 624, 55, 29341, 128333, 10613, 71, 128449, 11, 78228, 127980, 128978, 11, 129414, 128367, 129705, 128254, 2600, 128623, 128285, 128611, 130158, 129156, 132864, 128268, 128260, 128322, 922, 276, 128334, 131628, 128623, 128285, 128611, 130158, 129156, 132864, 128273, 130027, 624, 42, 26068, 130361, 128319, 128400, 69086, 132122, 128978, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 28776, 220, 20, 128811, 85536, 128336, 128283, 139988, 131678, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 130068, 25, 220, 16, 12, 17275, 88602, 130509, 23165, 2185, 128513, 128356, 128265, 132122, 128978, 11, 128826, 128309, 435, 42504, 72, 926, 11, 128740, 142267, 11, 132611, 128904, 47742, 128486, 128784, 130990, 128432, 128277, 129234, 489, 88602, 131318, 128273, 130027, 26, 220, 17, 12, 1599, 124317, 128855, 11, 129065, 128401, 11, 130314, 2162, 78, 128365, 128599, 128457, 128573, 133804, 129261, 11, 128362, 128283, 11, 92430, 24790, 79668, 128740, 142267, 11, 132611, 128904, 128277, 129234, 489, 88602, 131318, 128273, 130027, 26, 220, 18, 12, 50327, 125017, 128425, 11, 128553, 32965, 124644, 11, 32965, 124644, 133247, 11, 128960, 128553, 47742, 135593, 129045, 11, 130314, 2162, 78, 128370, 128482, 130700, 128329, 128265, 128417, 129067, 129991, 128331, 11, 128740, 142267, 11, 132611, 128904, 128277, 129234, 489, 88602, 131318, 128273, 130027, 26, 220, 19, 12, 451, 75076, 27021, 129156, 11, 128362, 128531, 128740, 128284, 72067, 64, 128292, 62029, 128781, 2600, 128740, 142267, 11, 132611, 128904, 128277, 129234, 489, 88602, 131318, 26, 220, 20, 12, 472, 84300, 79, 128400, 128664, 128384, 128265, 133776, 142154, 11, 128740, 142267, 11, 132611, 128904, 128277, 129234, 489, 88602, 131318, 624, 56, 124634, 128451, 59735, 730, 26068, 130361, 96535, 37915, 128943, 128855, 47742, 128643, 130509, 128457, 128573, 129270, 128356, 129822, 128319, 128556, 129031, 47742, 129991, 128331, 130027, 11, 131912, 128425, 128310, 128599, 11, 130693, 129156, 47742, 128362, 128531, 11, 133804, 129261, 129991, 128331, 11, 128362, 128283, 129861, 128309, 435, 42504, 72, 926, 79668, 133776, 142154, 11, 133691, 137968, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 128324, 29974, 128268, 128260, 131628, 128319, 128250, 63813, 2852, 573, 74443, 47742, 78228, 126341, 128502, 11, 58701, 128310, 128542, 922, 276, 69086, 128740, 142267, 11, 132611, 128904, 47742, 128486, 128784, 130990, 128432, 128277, 129234, 489, 88602, 131318, 128272, 129838, 130027, 46051, 128301, 11, 131763, 128757, 141700, 141753, 131579, 653, 128435, 133637, 131318, 128882, 15122, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42, 26068, 130361, 128319, 128400, 128611, 130158, 129156, 132864, 47742, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 128250, 63813, 2852, 573, 74443, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 79126, 134634, 141840, 730, 26068, 130361, 128336, 128283, 663, 85142, 64, 131678, 129181, 129591, 130388, 128301, 9450, 128250, 129591, 130388, 128301, 138465, 130669, 63813, 2852, 573, 74443, 128265, 128319, 128400, 69086, 132122, 128978, 128611, 128935, 129156, 132864, 47742, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 624, 785, 78, 730, 26068, 130361, 128319, 128400, 69086, 132122, 128978, 128611, 128935, 129156, 132864, 128273, 130027, 1154, 129414, 128367, 128845, 15122, 37915, 128643, 130509, 78228, 128799, 128884, 128513, 128356, 28776, 128542, 922, 276, 128263, 128289, 128531, 23165, 2143, 128336, 128283, 663, 85142, 64, 131678, 128611, 130158, 129156, 132864, 128273, 130027, 11, 279, 78, 128502, 128365, 129270, 128356, 128275, 128301, 59735, 78228, 129029, 11, 129857, 47742, 128704, 128675, 624, 33, 27021, 129623, 128270, 11, 128422, 128980, 128278, 134666, 128542, 133043, 129372, 128424, 59735, 128322, 922, 276, 129949, 131368, 129414, 128427, 132630, 128611, 130158, 129156, 132864, 128273, 130027, 59735, 128324, 29974, 128250, 128322, 922, 276, 129949, 131368, 129414, 128427, 132630, 128611, 130158, 129156, 132864, 128273, 130027, 59735, 63813, 2852, 573, 74443, 624, 55, 29341, 128333, 10613, 71, 128449, 11, 78228, 127980, 128978, 11, 129414, 128367, 129705, 128254, 2600, 128623, 128285, 128611, 130158, 129156, 132864, 128268, 128260, 128322, 922, 276, 128334, 131628, 128623, 128285, 128611, 130158, 129156, 132864, 128273, 130027, 624, 42, 26068, 130361, 128319, 128400, 69086, 132122, 128978, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 28776, 220, 20, 128811, 85536, 128336, 128283, 139988, 131678, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 130068, 25, 220, 16, 12, 17275, 88602, 130509, 23165, 2185, 128513, 128356, 128265, 132122, 128978, 11, 128826, 128309, 435, 42504, 72, 926, 11, 128740, 142267, 11, 132611, 128904, 47742, 128486, 128784, 130990, 128432, 128277, 129234, 489, 88602, 131318, 128273, 130027, 26, 220, 17, 12, 1599, 124317, 128855, 11, 129065, 128401, 11, 130314, 2162, 78, 128365, 128599, 128457, 128573, 133804, 129261, 11, 128362, 128283, 11, 92430, 24790, 79668, 128740, 142267, 11, 132611, 128904, 128277, 129234, 489, 88602, 131318, 128273, 130027, 26, 220, 18, 12, 50327, 125017, 128425, 11, 128553, 32965, 124644, 11, 32965, 124644, 133247, 11, 128960, 128553, 47742, 135593, 129045, 11, 130314, 2162, 78, 128370, 128482, 130700, 128329, 128265, 128417, 129067, 129991, 128331, 11, 128740, 142267, 11, 132611, 128904, 128277, 129234, 489, 88602, 131318, 128273, 130027, 26, 220, 19, 12, 451, 75076, 27021, 129156, 11, 128362, 128531, 128740, 128284, 72067, 64, 128292, 62029, 128781, 2600, 128740, 142267, 11, 132611, 128904, 128277, 129234, 489, 88602, 131318, 26, 220, 20, 12, 472, 84300, 79, 128400, 128664, 128384, 128265, 133776, 142154, 11, 128740, 142267, 11, 132611, 128904, 128277, 129234, 489, 88602, 131318, 624, 56, 124634, 128451, 59735, 730, 26068, 130361, 96535, 37915, 128943, 128855, 47742, 128643, 130509, 128457, 128573, 129270, 128356, 129822, 128319, 128556, 129031, 47742, 129991, 128331, 130027, 11, 131912, 128425, 128310, 128599, 11, 130693, 129156, 47742, 128362, 128531, 11, 133804, 129261, 129991, 128331, 11, 128362, 128283, 129861, 128309, 435, 42504, 72, 926, 79668, 133776, 142154, 11, 133691, 137968, 128740, 142267, 128277, 129234, 489, 88602, 131318, 128273, 130027, 128324, 29974, 128268, 128260, 131628, 128319, 128250, 63813, 2852, 573, 74443, 47742, 78228, 126341, 128502, 11, 58701, 128310, 128542, 922, 276, 69086, 128740, 142267, 11, 132611, 128904, 47742, 128486, 128784, 130990, 128432, 128277, 129234, 489, 88602, 131318, 128272, 129838, 130027, 46051, 128301, 11, 131763, 128757, 141700, 141753, 131579, 653, 128435, 133637, 131318, 128882, 15122, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584 ]
585
[ 98041, 129410, 128603, 128997, 128265, 133234, 136856, 129591, 130388, 128454, 128880, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 356, 60257, 968, 32744, 136256, 129591, 130388, 489, 39392, 128550, 128449, 132786, 128401, 128683, 130303, 129410, 128603, 128997, 128265, 128249, 65526, 128811, 85536, 59735, 133234, 136856, 129591, 130388, 128454, 128880, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 13, 133602, 129410, 77461, 30550, 39, 198, 45167, 27021, 136856, 129591, 130388, 128454, 128880, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 13, 220, 126884, 16719, 25, 647, 24430, 20290, 71, 52885, 130726, 624, 20897, 53022, 220, 17, 23, 14, 16, 15, 14, 17, 15, 16, 17, 11, 128272, 128521, 128685, 11, 129227, 128277, 128427, 132630, 59735, 130390, 131943, 128984, 350, 124644, 142840, 11, 129591, 130388, 136856, 133234, 128454, 128880, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 624, 1001, 124491, 129748, 128265, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 128526, 220, 16, 15, 47742, 220, 16, 15, 128526, 128290, 220, 17, 15, 16, 17, 11, 129591, 130388, 128573, 128281, 128826, 128309, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 220, 16, 15, 128526, 128278, 128290, 28776, 128253, 128830, 128871, 128761, 129541, 11, 78228, 128486, 128513, 19953, 125913, 128751, 326, 125252, 128362, 47742, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 128424, 128884, 128362, 305, 4076, 128423, 128432, 624, 50, 40707, 128415, 62029, 128386, 128424, 128884, 128904, 130344, 13, 132026, 65526, 85636, 128415, 62029, 128386, 320, 40, 3298, 8, 59735, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 128529, 220, 20, 11, 23, 4, 773, 128250, 128526, 220, 24, 14, 17, 15, 16, 17, 508, 16, 60, 320, 50996, 124317, 37915, 129240, 128529, 128949, 773, 128250, 220, 19, 11, 21, 4, 59735, 128526, 220, 24, 14, 17, 15, 16, 17, 4292, 45, 24015, 11, 326, 86728, 128386, 11, 132601, 85636, 128362, 128531, 133713, 128333, 13, 130017, 85636, 128375, 132601, 85636, 220, 16, 15, 128526, 128278, 128290, 220, 17, 15, 16, 17, 129664, 220, 19, 11, 23, 18, 129077, 133270, 11, 128529, 220, 20, 11, 17, 4, 773, 128250, 128340, 128880, 128290, 128371, 13, 451, 58597, 131531, 326, 89639, 130567, 320, 78820, 133318, 130726, 701, 326, 89639, 136252, 77374, 47742, 77374, 131026, 320, 78820, 133318, 29974, 8, 128529, 128818, 773, 128250, 128340, 128880, 128290, 128371, 13, 220, 131099, 43906, 66, 85636, 128375, 326, 89639, 125440, 128290, 220, 17, 15, 16, 17, 128267, 128529, 129168, 220, 15, 11, 22, 129077, 133270, 773, 128250, 128290, 220, 17, 15, 16, 16, 624, 42, 16739, 128978, 128507, 128367, 28776, 129240, 128362, 128531, 128949, 13, 130017, 129240, 128627, 326, 124516, 61758, 128585, 47742, 653, 27924, 77374, 128507, 128367, 220, 16, 15, 128526, 220, 124603, 129664, 128273, 220, 16, 13, 24, 16, 22, 7777, 126368, 129427, 128329, 11, 128529, 220, 16, 22, 11, 16, 4, 773, 128250, 128340, 128880, 128290, 128371, 13, 2055, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 16, 11, 128375, 128351, 128664, 128384, 128263, 128324, 29974, 129664, 220, 20, 11, 18, 19, 129077, 134628, 128351, 11, 128529, 129168, 220, 16, 16, 11, 17, 4, 624, 1282, 644, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 28776, 129168, 220, 21, 13, 15, 15, 15, 653, 27924, 128386, 64061, 128980, 26, 65526, 128375, 653, 27924, 128386, 128486, 128254, 47742, 139474, 128623, 128285, 128757, 128949, 128271, 320, 74, 6161, 124428, 220, 16, 13, 15, 15, 15, 653, 27924, 128386, 128486, 128254, 11, 139511, 139474, 128623, 128285, 8, 508, 17, 936, 350, 125012, 521, 2185, 220, 16, 15, 128526, 128278, 128290, 28776, 128304, 220, 20, 22, 142876, 653, 27924, 128386, 92105, 63478, 64061, 128980, 11, 69086, 94994, 128270, 28776, 220, 19, 16, 11, 17, 142876, 653, 27924, 128386, 128486, 128254, 11, 139511, 139474, 128623, 128285, 320, 8212, 21742, 76, 220, 22, 11, 19, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 16, 4292, 51, 124504, 128368, 128529, 128309, 128575, 128469, 79126, 128757, 128818, 773, 128250, 128526, 128371, 25, 86539, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 128529, 220, 15, 11, 23, 20, 4, 508, 18, 60, 773, 128250, 128526, 220, 24, 14, 17, 15, 16, 17, 320, 17, 11, 17, 4, 1215, 128529, 220, 21, 11, 15, 17, 4, 773, 128250, 128526, 220, 16, 17, 14, 17, 15, 16, 16, 47742, 128529, 220, 22, 4, 773, 128250, 128340, 128880, 128290, 128371, 11, 132058, 128281, 773, 128250, 133061, 128368, 128529, 128309, 128575, 128469, 59735, 78228, 128526, 128340, 128880, 220, 17, 128290, 132726, 128371, 624, 53, 39938, 128515, 139091, 47742, 129913, 128284, 25, 2055, 128250, 220, 18, 16, 14, 16, 17, 14, 17, 15, 16, 16, 11, 128263, 128300, 220, 16, 24, 14, 16, 15, 14, 17, 15, 16, 17, 11, 129822, 136525, 128515, 130506, 59735, 128351, 61758, 128272, 78228, 126341, 128502, 129913, 128284, 220, 124603, 128529, 220, 16, 19, 11, 17, 14360, 444, 126175, 131531, 2600, 348, 352, 79126, 128757, 220, 20, 12, 23, 4, 773, 128250, 129742, 128290, 220, 17, 15, 16, 16, 11, 129831, 128319, 128250, 128960, 128871, 326, 125252, 128362, 13, 134914, 128250, 78228, 132122, 128978, 132234, 128386, 11, 132234, 138757, 11, 128415, 97610, 11, 653, 27924, 128386, 128821, 47742, 128727, 11, 62029, 128386, 129481, 128886, 11, 140694, 131531, 2600, 348, 352, 132175, 128871, 128269, 129240, 220, 16, 16, 12, 16, 18, 53381, 77, 77354, 26, 2600, 348, 352, 132122, 128978, 85636, 128415, 595, 20868, 653, 27924, 128354, 128269, 129240, 220, 16, 19, 12, 16, 22, 53381, 77, 77354, 13, 130017, 136525, 138178, 129913, 128284, 320, 64841, 130068, 125440, 128278, 128379, 130641, 137535, 653, 27924, 128386, 47742, 137930, 133457, 8, 59735, 131167, 595, 20868, 128384, 773, 128250, 220, 18, 16, 14, 16, 17, 14, 17, 15, 16, 17, 128529, 220, 17, 11, 22, 22, 14360, 350, 127316, 128309, 130906, 139091, 128322, 128450, 133713, 128333, 11, 126258, 141207, 130906, 305, 87939, 128529, 128350, 624, 53, 39938, 128415, 11, 62572, 97610, 25, 1282, 644, 128526, 11, 55784, 7777, 125202, 128415, 97610, 220, 124603, 129664, 220, 24, 11, 24, 129427, 19551, 11, 128529, 220, 19, 11, 19, 4, 773, 128250, 128526, 220, 24, 26, 55784, 7777, 125202, 62572, 97610, 220, 124603, 129664, 220, 16, 15, 11, 19, 129427, 19551, 11, 128529, 128273, 220, 16, 16, 11, 22, 16175, 62572, 132539, 220, 20, 15, 15, 129077, 19551, 13, 350, 125012, 521, 2185, 220, 16, 15, 128526, 128278, 128290, 220, 17, 15, 16, 17, 11, 129822, 55784, 7777, 125202, 128415, 97610, 220, 124603, 129664, 220, 24, 18, 11, 19, 20, 129427, 19551, 11, 128529, 220, 16, 23, 11, 19, 4, 773, 128250, 128340, 128880, 128290, 128371, 26, 129822, 55784, 7777, 125202, 62572, 97610, 220, 124603, 129664, 128273, 220, 24, 18, 11, 23, 129427, 19551, 11, 128529, 220, 21, 11, 23, 4, 773, 128250, 128340, 128880, 128290, 128371, 13, 90453, 36745, 132539, 220, 16, 15, 128526, 128278, 128290, 129168, 220, 18, 20, 22, 129077, 19551, 11, 128411, 220, 15, 11, 19, 4, 129822, 55784, 7777, 125202, 128415, 97610, 624, 49922, 481, 25798, 3043, 9745, 63478, 129270, 128356, 128418, 11, 128417, 129551, 78228, 130042, 25798, 279, 78, 128495, 130361, 47742, 78228, 130042, 25798, 128362, 97832, 13, 444, 124310, 88, 128495, 128263, 220, 16, 20, 14, 16, 15, 14, 17, 15, 16, 17, 11, 129822, 77374, 3043, 9745, 220, 124603, 129664, 128914, 220, 20, 17, 18, 11, 19, 142876, 129427, 128329, 11, 128411, 220, 22, 15, 11, 22, 4, 126258, 130051, 26, 129822, 25798, 3043, 9745, 220, 124603, 129664, 128914, 220, 21, 22, 23, 11, 21, 142876, 129427, 128329, 11, 128411, 220, 22, 20, 11, 16, 4, 126258, 130051, 624, 46841, 75050, 131538, 130498, 128278, 128379, 128529, 128949, 11, 2162, 78, 128304, 773, 128250, 128340, 128880, 128290, 128371, 26, 69086, 220, 16, 15, 128526, 128278, 128290, 79126, 128486, 131538, 63478, 220, 16, 18, 19, 11, 18, 24, 142876, 129427, 128329, 11, 129664, 220, 22, 19, 11, 22, 4, 126258, 130051, 128290, 624, 53, 125044, 128278, 128379, 129372, 128424, 128301, 128703, 128336, 128283, 220, 124603, 129664, 220, 24, 129427, 19551, 11, 128411, 220, 24, 23, 11, 24, 4, 128340, 128880, 128290, 220, 17, 15, 16, 16, 13, 134175, 130498, 129418, 129212, 128529, 128622, 59735, 78228, 126258, 128595, 79126, 128531, 23165, 2143, 129664, 128273, 220, 18, 11, 23, 129427, 19551, 11, 128529, 220, 16, 17, 11, 18, 4, 624, 53, 125044, 506, 6352, 128486, 131538, 220, 124603, 129664, 220, 18, 11, 17, 17, 129427, 19551, 128411, 220, 16, 15, 17, 11, 20, 4, 128495, 130361, 128290, 220, 17, 15, 16, 17, 26, 69086, 128270, 11, 130498, 348, 352, 220, 124603, 129664, 220, 18, 11, 15, 16, 22, 129427, 19551, 26, 129972, 128886, 53037, 128643, 85852, 220, 124603, 129664, 220, 17, 15, 18, 129077, 19551, 624, 2082, 97832, 47742, 133765, 128994, 128847, 128410, 63478, 128417, 129551, 13, 1163, 644, 220, 16, 15, 128526, 128278, 128290, 220, 17, 15, 16, 17, 11, 125440, 128301, 220, 124603, 128425, 128289, 128266, 2600, 129168, 220, 16, 13, 16, 24, 20, 142876, 1187, 78, 128285, 11, 129664, 128273, 220, 22, 23, 11, 22, 4, 98127, 128575, 128495, 130361, 128290, 11, 69086, 128270, 128415, 97610, 1187, 78, 128285, 129168, 220, 21, 19, 11, 23, 142876, 128251, 11, 129664, 220, 22, 17, 4, 128495, 130361, 128290, 624, 77994, 132864, 342, 22516, 92430, 128757, 128949, 128818, 13, 220, 16, 15, 128526, 128278, 128290, 11, 65526, 128367, 52537, 132864, 342, 22516, 92430, 128757, 220, 17, 17, 11, 16, 13384, 65526, 128251, 130276, 128757, 220, 16, 22, 4, 47742, 65526, 128251, 128279, 128560, 128757, 220, 17, 21, 11, 20, 4, 624, 2183, 124504, 128441, 11, 458, 19550, 71, 63478, 128529, 132300, 26, 62029, 128400, 128421, 130906, 128424, 128884, 63478, 922, 276, 128396, 132668, 128818, 624, 51, 4076, 128452, 11, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 128487, 128320, 128271, 128639, 130909, 11, 270, 53061, 128482, 25, 730, 20868, 128384, 348, 124536, 130179, 128651, 128336, 128277, 133713, 128333, 26, 128320, 141673, 220, 125641, 326, 125252, 128362, 2162, 78, 128570, 85852, 13, 350, 58597, 129528, 595, 20868, 128384, 138117, 128304, 129203, 128575, 128456, 15122, 13, 130017, 136525, 138178, 129913, 128284, 128487, 128529, 132058, 128304, 128271, 773, 128250, 129203, 128575, 128456, 15122, 47742, 521, 5498, 16719, 130554, 331, 128465, 773, 128250, 133061, 128368, 128529, 305, 4076, 128285, 130498, 13, 350, 58597, 129528, 128415, 97610, 128427, 129553, 126258, 64, 86139, 127980, 128978, 434, 17625, 26, 62572, 97610, 489, 524, 128422, 128279, 11, 129031, 88057, 128904, 128367, 85636, 128415, 128757, 13, 17275, 124646, 128285, 85636, 128415, 11, 595, 20868, 653, 27924, 128487, 129233, 128271, 128639, 130909, 26, 85636, 128415, 62029, 128386, 128529, 138117, 26, 137106, 72067, 128757, 128344, 128487, 128320, 128269, 129240, 2162, 78, 1112, 50327, 124315, 128480, 59735, 128249, 128366, 134851, 128394, 129447, 128320, 129233, 128271, 128639, 130909, 26, 78228, 139091, 132864, 128847, 128410, 11, 134057, 130375, 128960, 128871, 142244, 138628, 624, 40225, 33450, 129664, 63478, 78228, 129203, 128575, 11, 129414, 128367, 128456, 15122, 69086, 78228, 128526, 129742, 128290, 47742, 125440, 128290, 220, 17, 15, 16, 17, 11, 129591, 130388, 128498, 128451, 78228, 129029, 11, 129857, 11, 128704, 128675, 128424, 128884, 128531, 23165, 2143, 128329, 128366, 11, 128784, 137513, 47742, 28776, 128423, 128432, 78228, 128427, 140996, 59735, 134355, 11, 78228, 128486, 128513, 11, 128311, 95082, 47742, 78228, 128683, 128450, 98127, 128854, 11, 128334, 128373, 59735, 129591, 130388, 11, 130390, 131943, 129591, 130388, 11, 69086, 128270, 128553, 489, 2185, 128336, 128283, 128249, 65526, 128486, 128513, 128427, 129553, 32154, 128358, 510, 45351, 124778, 128884, 133713, 128333, 348, 124536, 130179, 11, 53037, 79668, 326, 125252, 128362, 922, 352, 85852, 69086, 128253, 128290, 128447, 13, 137408, 489, 2185, 129888, 128356, 138178, 135429, 69086, 128457, 128573, 131538, 61758, 128560, 131537, 11, 28776, 78228, 137261, 128513, 129888, 128356, 138178, 135429, 129705, 128254, 59735, 128981, 131538, 61758, 128560, 131537, 128421, 128250, 128981, 653, 27924, 128386, 13, 350, 58597, 132300, 128423, 128432, 11, 128423, 128599, 62029, 128400, 1091, 71, 9586, 11, 133804, 129261, 131538, 61758, 26, 128757, 128760, 129347, 521, 88477, 13, 130717, 128327, 11, 138737, 61758, 129645, 128301, 320, 51271, 9745, 8, 856, 336, 130985, 98127, 128854, 79668, 72067, 27924, 138178, 2600, 78228, 653, 27924, 128386, 28776, 128675, 128595, 47742, 128531, 130949, 595, 20868, 653, 27924, 128418, 11, 128430, 653, 27924, 128386, 28776, 128254, 348, 352, 63478, 130498, 595, 20868, 653, 27924, 624, 51271, 9745, 128268, 128360, 129407, 128550, 128289, 129270, 128356, 128623, 128285, 595, 20868, 653, 27924, 130180, 131763, 521, 124644, 132314, 47742, 128266, 136382, 128818, 126260, 128331, 130180, 624, 3357, 87939, 128319, 133844, 130669, 11, 9805, 71, 128623, 129181, 128311, 95082, 128515, 139091, 47742, 128311, 95082, 128556, 131774, 129551, 128417, 133713, 128333, 348, 124536, 130179, 47742, 129522, 134814, 63478, 326, 125252, 128362, 624, 33, 27607, 128597, 128486, 131538, 130498, 128278, 128379, 94576, 3043, 9745, 47742, 94576, 129913, 128284, 128275, 128301, 131763, 129551, 128417, 129477, 138178, 2600, 78228, 126258, 128595, 79126, 128643, 64061, 128475, 134406, 128643, 64061, 2600, 653, 27924, 128386, 131763, 128486, 132367, 64, 138178, 59735, 653, 27924, 128386, 13, 29458, 88488, 9586, 47742, 133804, 129261, 137277, 521, 124760, 128289, 128336, 128283, 136786, 3043, 9745, 11, 128336, 128283, 451, 48, 220, 15, 16, 20290, 48, 12, 7123, 47742, 451, 48, 220, 16, 18, 20290, 48, 12, 7123, 47742, 78228, 130042, 128740, 128371, 130498, 59735, 128290, 220, 17, 15, 16, 18, 13, 431, 6362, 134814, 11, 128334, 128830, 11, 128486, 131538, 130498, 128278, 128379, 11, 128281, 37915, 128421, 128250, 130498, 128278, 128379, 94576, 131538, 95082, 128275, 128301, 11, 130498, 130641, 137535, 129591, 130388, 11, 130498, 128740, 128371, 59735, 128290, 220, 17, 15, 16, 18, 11, 130498, 129784, 128361, 129203, 128575, 128664, 94995, 11, 130498, 434, 17625, 11, 506, 6352, 9338, 34, 29341, 128366, 11, 129857, 11, 128704, 128675, 128360, 23165, 125641, 140996, 128531, 23165, 2143, 78228, 128311, 95082, 47742, 128486, 128513, 129481, 128886, 653, 27924, 128386, 11, 128757, 61758, 137106, 72067, 11, 128281, 37915, 128633, 128285, 85636, 320, 71, 20229, 128309, 128627, 11, 129888, 128356, 78228, 128556, 85636, 129551, 128417, 11, 130483, 128924, 126258, 128595, 128275, 128269, 128847, 128410, 11, 128275, 2600, 128251, 28776, 77374, 62572, 132058, 1112, 1215, 131867, 130509, 129991, 128331, 595, 20868, 653, 27924, 320, 66, 75050, 130509, 128799, 128884, 128373, 128311, 11, 129036, 128376, 128818, 128304, 1215, 132668, 128818, 128861, 135159, 11, 128757, 25798, 128575, 53037, 128360, 128422, 624, 40225, 49140, 88, 308, 9917, 71, 129263, 128368, 135578, 128322, 133795, 653, 27924, 128386, 128275, 128301, 11, 128550, 128396, 37915, 78228, 128553, 129675, 595, 20868, 128384, 11, 129822, 62029, 13580, 128275, 128301, 11, 279, 78, 128846, 128553, 489, 2185, 86139, 129857, 132197, 128311, 11, 134406, 134143, 85852, 126370, 130179, 653, 27924, 128386, 2600, 129831, 128319, 128250, 126260, 128331, 11, 128365, 128599, 128556, 128311, 26, 132668, 308, 9917, 71, 133061, 128368, 129057, 128463, 128585, 26, 128529, 132300, 128365, 128599, 129270, 128466, 136822, 128250, 130314, 2162, 78, 128365, 128599, 11, 131368, 129414, 59735, 128251, 130719, 128278, 78228, 653, 27924, 128386, 624, 45351, 124778, 128884, 129522, 134814, 137277, 521, 124760, 128289, 62572, 97610, 128336, 79479, 53037, 129551, 128417, 11, 128353, 128284, 128380, 272, 126424, 69086, 521, 124626, 132645, 11, 128380, 272, 126424, 69086, 128336, 79479, 11, 128417, 129551, 129067, 97832, 458, 128401, 128336, 79479, 11, 133600, 132668, 129857, 521, 124626, 132645, 128362, 128531, 13, 350, 58597, 132300, 78228, 137261, 128513, 129522, 9586, 11, 129522, 134814, 79668, 130314, 2162, 78, 128423, 128432, 78228, 128311, 95082, 458, 97832, 128847, 128410, 11, 129481, 128886, 2600, 128251, 138816, 11, 129838, 128279, 131265, 52537, 11, 128281, 37915, 69086, 128327, 342, 1103, 293, 3413, 326, 124310, 128272, 133318, 1163, 2185, 128283, 308, 352, 1934, 51, 58597, 132300, 62029, 128400, 1091, 71, 9586, 11, 129522, 9586, 11, 128531, 23165, 2143, 128784, 137513, 78228, 137261, 128513, 128441, 129455, 128507, 128453, 11, 128417, 129551, 129067, 97832, 458, 128401, 128336, 79479, 624, 1143, 71179, 128854, 132668, 308, 9917, 71, 129263, 128368, 78228, 62029, 128361, 342, 22516, 92430, 128550, 128406, 11, 62029, 128361, 128441, 129455, 293, 3413, 11, 128427, 128285, 128421, 142267, 128250, 131265, 52537, 11, 326, 124310, 326, 50483, 83, 624, 33, 124491, 129551, 135584, 130052, 458, 19550, 71, 128664, 128441, 11, 128281, 37915, 128273, 130027, 11, 138650, 131638, 11, 135547, 128449, 128750, 132726, 13, 350, 58597, 132300, 62029, 128400, 128441, 129455, 270, 309, 20303, 125432, 11, 128575, 129541, 11, 134057, 130375, 128249, 128328, 128454, 132278, 47742, 128542, 128884, 320, 331, 6654, 128431, 69086, 128457, 128573, 131538, 61758, 568, 136138, 128283, 128418, 62029, 128400, 128486, 128784, 94994, 92599, 308, 37059, 11, 129556, 129410, 11, 128281, 37915, 128421, 128250, 78228, 128367, 137106, 14854, 125055, 11, 131778, 129121, 26, 129572, 128751, 129597, 128907, 78228, 128367, 94994, 92599, 308, 37059, 92105, 26, 128310, 129922, 130179, 128338, 128249, 129137, 11, 128249, 129137, 128542, 92430, 9338, 34, 29341, 129029, 11, 129857, 47742, 128704, 128675, 129311, 128279, 128418, 47742, 23165, 125641, 140996, 128531, 23165, 2143, 730, 26068, 130361, 595, 20868, 128384, 481, 128847, 128410, 128290, 220, 17, 15, 16, 18, 32154, 94994, 63478, 128494, 128410, 92430, 73525, 26, 128336, 128283, 28776, 128423, 128432, 132026, 126260, 65526, 220, 17, 17, 14, 1162, 9285, 51, 70, 128300, 220, 20, 14, 24, 14, 17, 15, 16, 17, 59735, 130390, 131943, 129591, 130388, 128265, 128334, 128373, 129414, 128367, 128556, 128311, 481, 131538, 95082, 128253, 128526, 129742, 128290, 220, 17, 15, 16, 17, 47742, 132026, 126260, 65526, 220, 17, 20, 14, 1162, 9285, 51, 70, 128300, 220, 17, 21, 14, 24, 14, 17, 15, 16, 17, 59735, 130390, 131943, 129591, 130388, 128265, 128289, 128529, 132300, 62029, 128400, 129270, 128356, 11, 128334, 128373, 47742, 128823, 133713, 128309, 128253, 128526, 129742, 128290, 220, 17, 15, 16, 17, 624, 43, 6362, 76, 128418, 62029, 128400, 92430, 24790, 135593, 129045, 11, 128333, 128846, 136525, 129748, 11, 272, 128042, 129234, 136141, 24790, 11, 128425, 128329, 131678, 69086, 128336, 128283, 131457, 128994, 78228, 129203, 128575, 595, 20868, 128384, 481, 128847, 128410, 79126, 128456, 15122, 624, 58, 16, 60, 132026, 65526, 358, 3298, 128526, 220, 21, 14, 17, 15, 16, 17, 128529, 220, 17, 13384, 128526, 220, 22, 14, 17, 15, 16, 17, 128529, 220, 18, 11, 17, 13384, 128526, 220, 23, 14, 17, 15, 16, 17, 128529, 220, 19, 11, 16, 13384, 128526, 220, 24, 14, 17, 15, 16, 17, 128529, 220, 19, 11, 21, 4, 624, 58, 17, 60, 132493, 220, 22, 14, 17, 15, 16, 17, 28776, 129168, 220, 19, 13, 15, 15, 15, 60656, 11, 128526, 220, 23, 14, 17, 15, 16, 17, 128273, 220, 20, 13, 15, 15, 15, 60656, 11, 128526, 220, 24, 14, 17, 15, 16, 17, 128914, 220, 20, 13, 15, 15, 15, 60656, 128486, 128254, 47742, 139474, 128623, 128285, 624, 58, 18, 60, 132493, 220, 16, 14, 17, 15, 16, 17, 128529, 220, 16, 16175, 128526, 220, 17, 14, 17, 15, 16, 17, 25, 220, 16, 11, 18, 22, 13384, 128526, 220, 18, 14, 17, 15, 16, 17, 25, 220, 15, 11, 16, 21, 13384, 128526, 220, 19, 14, 17, 15, 16, 17, 25, 220, 15, 11, 15, 20, 13384, 128526, 220, 20, 14, 17, 15, 16, 17, 25, 220, 15, 11, 16, 23, 13384, 128526, 220, 21, 14, 17, 15, 16, 17, 25, 481, 15, 11, 17, 21, 13384, 128526, 220, 22, 14, 17, 15, 16, 17, 25, 481, 15, 11, 17, 24, 13384, 128526, 220, 23, 14, 17, 15, 16, 17, 128529, 220, 15, 11, 21, 18, 13384, 128526, 220, 24, 14, 17, 15, 16, 17, 128529, 220, 17, 11, 17, 4, 624, 58, 19, 60, 132493, 220, 16, 15, 773, 128250, 128526, 128340, 128880, 128290, 128371, 78228, 128290, 220, 17, 15, 16, 15, 11, 220, 17, 15, 16, 16, 128568, 134628, 37915, 25, 220, 24, 11, 21, 21, 4, 47742, 220, 17, 16, 11, 20, 24, 4, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 98041, 129410, 128603, 128997, 128265, 133234, 136856, 129591, 130388, 128454, 128880, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 356, 60257, 968, 32744, 136256, 129591, 130388, 489, 39392, 128550, 128449, 132786, 128401, 128683, 130303, 129410, 128603, 128997, 128265, 128249, 65526, 128811, 85536, 59735, 133234, 136856, 129591, 130388, 128454, 128880, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 13, 133602, 129410, 77461, 30550, 39, 198, 45167, 27021, 136856, 129591, 130388, 128454, 128880, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 13, 220, 126884, 16719, 25, 647, 24430, 20290, 71, 52885, 130726, 624, 20897, 53022, 220, 17, 23, 14, 16, 15, 14, 17, 15, 16, 17, 11, 128272, 128521, 128685, 11, 129227, 128277, 128427, 132630, 59735, 130390, 131943, 128984, 350, 124644, 142840, 11, 129591, 130388, 136856, 133234, 128454, 128880, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 624, 1001, 124491, 129748, 128265, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 128526, 220, 16, 15, 47742, 220, 16, 15, 128526, 128290, 220, 17, 15, 16, 17, 11, 129591, 130388, 128573, 128281, 128826, 128309, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 220, 16, 15, 128526, 128278, 128290, 28776, 128253, 128830, 128871, 128761, 129541, 11, 78228, 128486, 128513, 19953, 125913, 128751, 326, 125252, 128362, 47742, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 128424, 128884, 128362, 305, 4076, 128423, 128432, 624, 50, 40707, 128415, 62029, 128386, 128424, 128884, 128904, 130344, 13, 132026, 65526, 85636, 128415, 62029, 128386, 320, 40, 3298, 8, 59735, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 128529, 220, 20, 11, 23, 4, 773, 128250, 128526, 220, 24, 14, 17, 15, 16, 17, 508, 16, 60, 320, 50996, 124317, 37915, 129240, 128529, 128949, 773, 128250, 220, 19, 11, 21, 4, 59735, 128526, 220, 24, 14, 17, 15, 16, 17, 4292, 45, 24015, 11, 326, 86728, 128386, 11, 132601, 85636, 128362, 128531, 133713, 128333, 13, 130017, 85636, 128375, 132601, 85636, 220, 16, 15, 128526, 128278, 128290, 220, 17, 15, 16, 17, 129664, 220, 19, 11, 23, 18, 129077, 133270, 11, 128529, 220, 20, 11, 17, 4, 773, 128250, 128340, 128880, 128290, 128371, 13, 451, 58597, 131531, 326, 89639, 130567, 320, 78820, 133318, 130726, 701, 326, 89639, 136252, 77374, 47742, 77374, 131026, 320, 78820, 133318, 29974, 8, 128529, 128818, 773, 128250, 128340, 128880, 128290, 128371, 13, 220, 131099, 43906, 66, 85636, 128375, 326, 89639, 125440, 128290, 220, 17, 15, 16, 17, 128267, 128529, 129168, 220, 15, 11, 22, 129077, 133270, 773, 128250, 128290, 220, 17, 15, 16, 16, 624, 42, 16739, 128978, 128507, 128367, 28776, 129240, 128362, 128531, 128949, 13, 130017, 129240, 128627, 326, 124516, 61758, 128585, 47742, 653, 27924, 77374, 128507, 128367, 220, 16, 15, 128526, 220, 124603, 129664, 128273, 220, 16, 13, 24, 16, 22, 7777, 126368, 129427, 128329, 11, 128529, 220, 16, 22, 11, 16, 4, 773, 128250, 128340, 128880, 128290, 128371, 13, 2055, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 16, 11, 128375, 128351, 128664, 128384, 128263, 128324, 29974, 129664, 220, 20, 11, 18, 19, 129077, 134628, 128351, 11, 128529, 129168, 220, 16, 16, 11, 17, 4, 624, 1282, 644, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 28776, 129168, 220, 21, 13, 15, 15, 15, 653, 27924, 128386, 64061, 128980, 26, 65526, 128375, 653, 27924, 128386, 128486, 128254, 47742, 139474, 128623, 128285, 128757, 128949, 128271, 320, 74, 6161, 124428, 220, 16, 13, 15, 15, 15, 653, 27924, 128386, 128486, 128254, 11, 139511, 139474, 128623, 128285, 8, 508, 17, 936, 350, 125012, 521, 2185, 220, 16, 15, 128526, 128278, 128290, 28776, 128304, 220, 20, 22, 142876, 653, 27924, 128386, 92105, 63478, 64061, 128980, 11, 69086, 94994, 128270, 28776, 220, 19, 16, 11, 17, 142876, 653, 27924, 128386, 128486, 128254, 11, 139511, 139474, 128623, 128285, 320, 8212, 21742, 76, 220, 22, 11, 19, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 16, 4292, 51, 124504, 128368, 128529, 128309, 128575, 128469, 79126, 128757, 128818, 773, 128250, 128526, 128371, 25, 86539, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 128529, 220, 15, 11, 23, 20, 4, 508, 18, 60, 773, 128250, 128526, 220, 24, 14, 17, 15, 16, 17, 320, 17, 11, 17, 4, 1215, 128529, 220, 21, 11, 15, 17, 4, 773, 128250, 128526, 220, 16, 17, 14, 17, 15, 16, 16, 47742, 128529, 220, 22, 4, 773, 128250, 128340, 128880, 128290, 128371, 11, 132058, 128281, 773, 128250, 133061, 128368, 128529, 128309, 128575, 128469, 59735, 78228, 128526, 128340, 128880, 220, 17, 128290, 132726, 128371, 624, 53, 39938, 128515, 139091, 47742, 129913, 128284, 25, 2055, 128250, 220, 18, 16, 14, 16, 17, 14, 17, 15, 16, 16, 11, 128263, 128300, 220, 16, 24, 14, 16, 15, 14, 17, 15, 16, 17, 11, 129822, 136525, 128515, 130506, 59735, 128351, 61758, 128272, 78228, 126341, 128502, 129913, 128284, 220, 124603, 128529, 220, 16, 19, 11, 17, 14360, 444, 126175, 131531, 2600, 348, 352, 79126, 128757, 220, 20, 12, 23, 4, 773, 128250, 129742, 128290, 220, 17, 15, 16, 16, 11, 129831, 128319, 128250, 128960, 128871, 326, 125252, 128362, 13, 134914, 128250, 78228, 132122, 128978, 132234, 128386, 11, 132234, 138757, 11, 128415, 97610, 11, 653, 27924, 128386, 128821, 47742, 128727, 11, 62029, 128386, 129481, 128886, 11, 140694, 131531, 2600, 348, 352, 132175, 128871, 128269, 129240, 220, 16, 16, 12, 16, 18, 53381, 77, 77354, 26, 2600, 348, 352, 132122, 128978, 85636, 128415, 595, 20868, 653, 27924, 128354, 128269, 129240, 220, 16, 19, 12, 16, 22, 53381, 77, 77354, 13, 130017, 136525, 138178, 129913, 128284, 320, 64841, 130068, 125440, 128278, 128379, 130641, 137535, 653, 27924, 128386, 47742, 137930, 133457, 8, 59735, 131167, 595, 20868, 128384, 773, 128250, 220, 18, 16, 14, 16, 17, 14, 17, 15, 16, 17, 128529, 220, 17, 11, 22, 22, 14360, 350, 127316, 128309, 130906, 139091, 128322, 128450, 133713, 128333, 11, 126258, 141207, 130906, 305, 87939, 128529, 128350, 624, 53, 39938, 128415, 11, 62572, 97610, 25, 1282, 644, 128526, 11, 55784, 7777, 125202, 128415, 97610, 220, 124603, 129664, 220, 24, 11, 24, 129427, 19551, 11, 128529, 220, 19, 11, 19, 4, 773, 128250, 128526, 220, 24, 26, 55784, 7777, 125202, 62572, 97610, 220, 124603, 129664, 220, 16, 15, 11, 19, 129427, 19551, 11, 128529, 128273, 220, 16, 16, 11, 22, 16175, 62572, 132539, 220, 20, 15, 15, 129077, 19551, 13, 350, 125012, 521, 2185, 220, 16, 15, 128526, 128278, 128290, 220, 17, 15, 16, 17, 11, 129822, 55784, 7777, 125202, 128415, 97610, 220, 124603, 129664, 220, 24, 18, 11, 19, 20, 129427, 19551, 11, 128529, 220, 16, 23, 11, 19, 4, 773, 128250, 128340, 128880, 128290, 128371, 26, 129822, 55784, 7777, 125202, 62572, 97610, 220, 124603, 129664, 128273, 220, 24, 18, 11, 23, 129427, 19551, 11, 128529, 220, 21, 11, 23, 4, 773, 128250, 128340, 128880, 128290, 128371, 13, 90453, 36745, 132539, 220, 16, 15, 128526, 128278, 128290, 129168, 220, 18, 20, 22, 129077, 19551, 11, 128411, 220, 15, 11, 19, 4, 129822, 55784, 7777, 125202, 128415, 97610, 624, 49922, 481, 25798, 3043, 9745, 63478, 129270, 128356, 128418, 11, 128417, 129551, 78228, 130042, 25798, 279, 78, 128495, 130361, 47742, 78228, 130042, 25798, 128362, 97832, 13, 444, 124310, 88, 128495, 128263, 220, 16, 20, 14, 16, 15, 14, 17, 15, 16, 17, 11, 129822, 77374, 3043, 9745, 220, 124603, 129664, 128914, 220, 20, 17, 18, 11, 19, 142876, 129427, 128329, 11, 128411, 220, 22, 15, 11, 22, 4, 126258, 130051, 26, 129822, 25798, 3043, 9745, 220, 124603, 129664, 128914, 220, 21, 22, 23, 11, 21, 142876, 129427, 128329, 11, 128411, 220, 22, 20, 11, 16, 4, 126258, 130051, 624, 46841, 75050, 131538, 130498, 128278, 128379, 128529, 128949, 11, 2162, 78, 128304, 773, 128250, 128340, 128880, 128290, 128371, 26, 69086, 220, 16, 15, 128526, 128278, 128290, 79126, 128486, 131538, 63478, 220, 16, 18, 19, 11, 18, 24, 142876, 129427, 128329, 11, 129664, 220, 22, 19, 11, 22, 4, 126258, 130051, 128290, 624, 53, 125044, 128278, 128379, 129372, 128424, 128301, 128703, 128336, 128283, 220, 124603, 129664, 220, 24, 129427, 19551, 11, 128411, 220, 24, 23, 11, 24, 4, 128340, 128880, 128290, 220, 17, 15, 16, 16, 13, 134175, 130498, 129418, 129212, 128529, 128622, 59735, 78228, 126258, 128595, 79126, 128531, 23165, 2143, 129664, 128273, 220, 18, 11, 23, 129427, 19551, 11, 128529, 220, 16, 17, 11, 18, 4, 624, 53, 125044, 506, 6352, 128486, 131538, 220, 124603, 129664, 220, 18, 11, 17, 17, 129427, 19551, 128411, 220, 16, 15, 17, 11, 20, 4, 128495, 130361, 128290, 220, 17, 15, 16, 17, 26, 69086, 128270, 11, 130498, 348, 352, 220, 124603, 129664, 220, 18, 11, 15, 16, 22, 129427, 19551, 26, 129972, 128886, 53037, 128643, 85852, 220, 124603, 129664, 220, 17, 15, 18, 129077, 19551, 624, 2082, 97832, 47742, 133765, 128994, 128847, 128410, 63478, 128417, 129551, 13, 1163, 644, 220, 16, 15, 128526, 128278, 128290, 220, 17, 15, 16, 17, 11, 125440, 128301, 220, 124603, 128425, 128289, 128266, 2600, 129168, 220, 16, 13, 16, 24, 20, 142876, 1187, 78, 128285, 11, 129664, 128273, 220, 22, 23, 11, 22, 4, 98127, 128575, 128495, 130361, 128290, 11, 69086, 128270, 128415, 97610, 1187, 78, 128285, 129168, 220, 21, 19, 11, 23, 142876, 128251, 11, 129664, 220, 22, 17, 4, 128495, 130361, 128290, 624, 77994, 132864, 342, 22516, 92430, 128757, 128949, 128818, 13, 220, 16, 15, 128526, 128278, 128290, 11, 65526, 128367, 52537, 132864, 342, 22516, 92430, 128757, 220, 17, 17, 11, 16, 13384, 65526, 128251, 130276, 128757, 220, 16, 22, 4, 47742, 65526, 128251, 128279, 128560, 128757, 220, 17, 21, 11, 20, 4, 624, 2183, 124504, 128441, 11, 458, 19550, 71, 63478, 128529, 132300, 26, 62029, 128400, 128421, 130906, 128424, 128884, 63478, 922, 276, 128396, 132668, 128818, 624, 51, 4076, 128452, 11, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 128487, 128320, 128271, 128639, 130909, 11, 270, 53061, 128482, 25, 730, 20868, 128384, 348, 124536, 130179, 128651, 128336, 128277, 133713, 128333, 26, 128320, 141673, 220, 125641, 326, 125252, 128362, 2162, 78, 128570, 85852, 13, 350, 58597, 129528, 595, 20868, 128384, 138117, 128304, 129203, 128575, 128456, 15122, 13, 130017, 136525, 138178, 129913, 128284, 128487, 128529, 132058, 128304, 128271, 773, 128250, 129203, 128575, 128456, 15122, 47742, 521, 5498, 16719, 130554, 331, 128465, 773, 128250, 133061, 128368, 128529, 305, 4076, 128285, 130498, 13, 350, 58597, 129528, 128415, 97610, 128427, 129553, 126258, 64, 86139, 127980, 128978, 434, 17625, 26, 62572, 97610, 489, 524, 128422, 128279, 11, 129031, 88057, 128904, 128367, 85636, 128415, 128757, 13, 17275, 124646, 128285, 85636, 128415, 11, 595, 20868, 653, 27924, 128487, 129233, 128271, 128639, 130909, 26, 85636, 128415, 62029, 128386, 128529, 138117, 26, 137106, 72067, 128757, 128344, 128487, 128320, 128269, 129240, 2162, 78, 1112, 50327, 124315, 128480, 59735, 128249, 128366, 134851, 128394, 129447, 128320, 129233, 128271, 128639, 130909, 26, 78228, 139091, 132864, 128847, 128410, 11, 134057, 130375, 128960, 128871, 142244, 138628, 624, 40225, 33450, 129664, 63478, 78228, 129203, 128575, 11, 129414, 128367, 128456, 15122, 69086, 78228, 128526, 129742, 128290, 47742, 125440, 128290, 220, 17, 15, 16, 17, 11, 129591, 130388, 128498, 128451, 78228, 129029, 11, 129857, 11, 128704, 128675, 128424, 128884, 128531, 23165, 2143, 128329, 128366, 11, 128784, 137513, 47742, 28776, 128423, 128432, 78228, 128427, 140996, 59735, 134355, 11, 78228, 128486, 128513, 11, 128311, 95082, 47742, 78228, 128683, 128450, 98127, 128854, 11, 128334, 128373, 59735, 129591, 130388, 11, 130390, 131943, 129591, 130388, 11, 69086, 128270, 128553, 489, 2185, 128336, 128283, 128249, 65526, 128486, 128513, 128427, 129553, 32154, 128358, 510, 45351, 124778, 128884, 133713, 128333, 348, 124536, 130179, 11, 53037, 79668, 326, 125252, 128362, 922, 352, 85852, 69086, 128253, 128290, 128447, 13, 137408, 489, 2185, 129888, 128356, 138178, 135429, 69086, 128457, 128573, 131538, 61758, 128560, 131537, 11, 28776, 78228, 137261, 128513, 129888, 128356, 138178, 135429, 129705, 128254, 59735, 128981, 131538, 61758, 128560, 131537, 128421, 128250, 128981, 653, 27924, 128386, 13, 350, 58597, 132300, 128423, 128432, 11, 128423, 128599, 62029, 128400, 1091, 71, 9586, 11, 133804, 129261, 131538, 61758, 26, 128757, 128760, 129347, 521, 88477, 13, 130717, 128327, 11, 138737, 61758, 129645, 128301, 320, 51271, 9745, 8, 856, 336, 130985, 98127, 128854, 79668, 72067, 27924, 138178, 2600, 78228, 653, 27924, 128386, 28776, 128675, 128595, 47742, 128531, 130949, 595, 20868, 653, 27924, 128418, 11, 128430, 653, 27924, 128386, 28776, 128254, 348, 352, 63478, 130498, 595, 20868, 653, 27924, 624, 51271, 9745, 128268, 128360, 129407, 128550, 128289, 129270, 128356, 128623, 128285, 595, 20868, 653, 27924, 130180, 131763, 521, 124644, 132314, 47742, 128266, 136382, 128818, 126260, 128331, 130180, 624, 3357, 87939, 128319, 133844, 130669, 11, 9805, 71, 128623, 129181, 128311, 95082, 128515, 139091, 47742, 128311, 95082, 128556, 131774, 129551, 128417, 133713, 128333, 348, 124536, 130179, 47742, 129522, 134814, 63478, 326, 125252, 128362, 624, 33, 27607, 128597, 128486, 131538, 130498, 128278, 128379, 94576, 3043, 9745, 47742, 94576, 129913, 128284, 128275, 128301, 131763, 129551, 128417, 129477, 138178, 2600, 78228, 126258, 128595, 79126, 128643, 64061, 128475, 134406, 128643, 64061, 2600, 653, 27924, 128386, 131763, 128486, 132367, 64, 138178, 59735, 653, 27924, 128386, 13, 29458, 88488, 9586, 47742, 133804, 129261, 137277, 521, 124760, 128289, 128336, 128283, 136786, 3043, 9745, 11, 128336, 128283, 451, 48, 220, 15, 16, 20290, 48, 12, 7123, 47742, 451, 48, 220, 16, 18, 20290, 48, 12, 7123, 47742, 78228, 130042, 128740, 128371, 130498, 59735, 128290, 220, 17, 15, 16, 18, 13, 431, 6362, 134814, 11, 128334, 128830, 11, 128486, 131538, 130498, 128278, 128379, 11, 128281, 37915, 128421, 128250, 130498, 128278, 128379, 94576, 131538, 95082, 128275, 128301, 11, 130498, 130641, 137535, 129591, 130388, 11, 130498, 128740, 128371, 59735, 128290, 220, 17, 15, 16, 18, 11, 130498, 129784, 128361, 129203, 128575, 128664, 94995, 11, 130498, 434, 17625, 11, 506, 6352, 9338, 34, 29341, 128366, 11, 129857, 11, 128704, 128675, 128360, 23165, 125641, 140996, 128531, 23165, 2143, 78228, 128311, 95082, 47742, 128486, 128513, 129481, 128886, 653, 27924, 128386, 11, 128757, 61758, 137106, 72067, 11, 128281, 37915, 128633, 128285, 85636, 320, 71, 20229, 128309, 128627, 11, 129888, 128356, 78228, 128556, 85636, 129551, 128417, 11, 130483, 128924, 126258, 128595, 128275, 128269, 128847, 128410, 11, 128275, 2600, 128251, 28776, 77374, 62572, 132058, 1112, 1215, 131867, 130509, 129991, 128331, 595, 20868, 653, 27924, 320, 66, 75050, 130509, 128799, 128884, 128373, 128311, 11, 129036, 128376, 128818, 128304, 1215, 132668, 128818, 128861, 135159, 11, 128757, 25798, 128575, 53037, 128360, 128422, 624, 40225, 49140, 88, 308, 9917, 71, 129263, 128368, 135578, 128322, 133795, 653, 27924, 128386, 128275, 128301, 11, 128550, 128396, 37915, 78228, 128553, 129675, 595, 20868, 128384, 11, 129822, 62029, 13580, 128275, 128301, 11, 279, 78, 128846, 128553, 489, 2185, 86139, 129857, 132197, 128311, 11, 134406, 134143, 85852, 126370, 130179, 653, 27924, 128386, 2600, 129831, 128319, 128250, 126260, 128331, 11, 128365, 128599, 128556, 128311, 26, 132668, 308, 9917, 71, 133061, 128368, 129057, 128463, 128585, 26, 128529, 132300, 128365, 128599, 129270, 128466, 136822, 128250, 130314, 2162, 78, 128365, 128599, 11, 131368, 129414, 59735, 128251, 130719, 128278, 78228, 653, 27924, 128386, 624, 45351, 124778, 128884, 129522, 134814, 137277, 521, 124760, 128289, 62572, 97610, 128336, 79479, 53037, 129551, 128417, 11, 128353, 128284, 128380, 272, 126424, 69086, 521, 124626, 132645, 11, 128380, 272, 126424, 69086, 128336, 79479, 11, 128417, 129551, 129067, 97832, 458, 128401, 128336, 79479, 11, 133600, 132668, 129857, 521, 124626, 132645, 128362, 128531, 13, 350, 58597, 132300, 78228, 137261, 128513, 129522, 9586, 11, 129522, 134814, 79668, 130314, 2162, 78, 128423, 128432, 78228, 128311, 95082, 458, 97832, 128847, 128410, 11, 129481, 128886, 2600, 128251, 138816, 11, 129838, 128279, 131265, 52537, 11, 128281, 37915, 69086, 128327, 342, 1103, 293, 3413, 326, 124310, 128272, 133318, 1163, 2185, 128283, 308, 352, 1934, 51, 58597, 132300, 62029, 128400, 1091, 71, 9586, 11, 129522, 9586, 11, 128531, 23165, 2143, 128784, 137513, 78228, 137261, 128513, 128441, 129455, 128507, 128453, 11, 128417, 129551, 129067, 97832, 458, 128401, 128336, 79479, 624, 1143, 71179, 128854, 132668, 308, 9917, 71, 129263, 128368, 78228, 62029, 128361, 342, 22516, 92430, 128550, 128406, 11, 62029, 128361, 128441, 129455, 293, 3413, 11, 128427, 128285, 128421, 142267, 128250, 131265, 52537, 11, 326, 124310, 326, 50483, 83, 624, 33, 124491, 129551, 135584, 130052, 458, 19550, 71, 128664, 128441, 11, 128281, 37915, 128273, 130027, 11, 138650, 131638, 11, 135547, 128449, 128750, 132726, 13, 350, 58597, 132300, 62029, 128400, 128441, 129455, 270, 309, 20303, 125432, 11, 128575, 129541, 11, 134057, 130375, 128249, 128328, 128454, 132278, 47742, 128542, 128884, 320, 331, 6654, 128431, 69086, 128457, 128573, 131538, 61758, 568, 136138, 128283, 128418, 62029, 128400, 128486, 128784, 94994, 92599, 308, 37059, 11, 129556, 129410, 11, 128281, 37915, 128421, 128250, 78228, 128367, 137106, 14854, 125055, 11, 131778, 129121, 26, 129572, 128751, 129597, 128907, 78228, 128367, 94994, 92599, 308, 37059, 92105, 26, 128310, 129922, 130179, 128338, 128249, 129137, 11, 128249, 129137, 128542, 92430, 9338, 34, 29341, 129029, 11, 129857, 47742, 128704, 128675, 129311, 128279, 128418, 47742, 23165, 125641, 140996, 128531, 23165, 2143, 730, 26068, 130361, 595, 20868, 128384, 481, 128847, 128410, 128290, 220, 17, 15, 16, 18, 32154, 94994, 63478, 128494, 128410, 92430, 73525, 26, 128336, 128283, 28776, 128423, 128432, 132026, 126260, 65526, 220, 17, 17, 14, 1162, 9285, 51, 70, 128300, 220, 20, 14, 24, 14, 17, 15, 16, 17, 59735, 130390, 131943, 129591, 130388, 128265, 128334, 128373, 129414, 128367, 128556, 128311, 481, 131538, 95082, 128253, 128526, 129742, 128290, 220, 17, 15, 16, 17, 47742, 132026, 126260, 65526, 220, 17, 20, 14, 1162, 9285, 51, 70, 128300, 220, 17, 21, 14, 24, 14, 17, 15, 16, 17, 59735, 130390, 131943, 129591, 130388, 128265, 128289, 128529, 132300, 62029, 128400, 129270, 128356, 11, 128334, 128373, 47742, 128823, 133713, 128309, 128253, 128526, 129742, 128290, 220, 17, 15, 16, 17, 624, 43, 6362, 76, 128418, 62029, 128400, 92430, 24790, 135593, 129045, 11, 128333, 128846, 136525, 129748, 11, 272, 128042, 129234, 136141, 24790, 11, 128425, 128329, 131678, 69086, 128336, 128283, 131457, 128994, 78228, 129203, 128575, 595, 20868, 128384, 481, 128847, 128410, 79126, 128456, 15122, 624, 58, 16, 60, 132026, 65526, 358, 3298, 128526, 220, 21, 14, 17, 15, 16, 17, 128529, 220, 17, 13384, 128526, 220, 22, 14, 17, 15, 16, 17, 128529, 220, 18, 11, 17, 13384, 128526, 220, 23, 14, 17, 15, 16, 17, 128529, 220, 19, 11, 16, 13384, 128526, 220, 24, 14, 17, 15, 16, 17, 128529, 220, 19, 11, 21, 4, 624, 58, 17, 60, 132493, 220, 22, 14, 17, 15, 16, 17, 28776, 129168, 220, 19, 13, 15, 15, 15, 60656, 11, 128526, 220, 23, 14, 17, 15, 16, 17, 128273, 220, 20, 13, 15, 15, 15, 60656, 11, 128526, 220, 24, 14, 17, 15, 16, 17, 128914, 220, 20, 13, 15, 15, 15, 60656, 128486, 128254, 47742, 139474, 128623, 128285, 624, 58, 18, 60, 132493, 220, 16, 14, 17, 15, 16, 17, 128529, 220, 16, 16175, 128526, 220, 17, 14, 17, 15, 16, 17, 25, 220, 16, 11, 18, 22, 13384, 128526, 220, 18, 14, 17, 15, 16, 17, 25, 220, 15, 11, 16, 21, 13384, 128526, 220, 19, 14, 17, 15, 16, 17, 25, 220, 15, 11, 15, 20, 13384, 128526, 220, 20, 14, 17, 15, 16, 17, 25, 220, 15, 11, 16, 23, 13384, 128526, 220, 21, 14, 17, 15, 16, 17, 25, 481, 15, 11, 17, 21, 13384, 128526, 220, 22, 14, 17, 15, 16, 17, 25, 481, 15, 11, 17, 24, 13384, 128526, 220, 23, 14, 17, 15, 16, 17, 128529, 220, 15, 11, 21, 18, 13384, 128526, 220, 24, 14, 17, 15, 16, 17, 128529, 220, 17, 11, 17, 4, 624, 58, 19, 60, 132493, 220, 16, 15, 773, 128250, 128526, 128340, 128880, 128290, 128371, 78228, 128290, 220, 17, 15, 16, 15, 11, 220, 17, 15, 16, 16, 128568, 134628, 37915, 25, 220, 24, 11, 21, 21, 4, 47742, 220, 17, 16, 11, 20, 24, 4, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061, 2062, 2063, 2064, 2065, 2066, 2067, 2068, 2069, 2070, 2071, 2072, 2073, 2074, 2075, 2076, 2077, 2078, 2079, 2080, 2081, 2082, 2083, 2084, 2085, 2086, 2087, 2088, 2089, 2090, 2091, 2092, 2093, 2094, 2095, 2096, 2097, 2098, 2099, 2100, 2101, 2102, 2103, 2104, 2105, 2106, 2107, 2108, 2109, 2110, 2111, 2112, 2113, 2114, 2115, 2116, 2117, 2118, 2119, 2120, 2121, 2122, 2123, 2124, 2125, 2126, 2127, 2128, 2129, 2130, 2131, 2132, 2133, 2134, 2135, 2136, 2137, 2138, 2139, 2140, 2141, 2142, 2143, 2144, 2145, 2146, 2147, 2148, 2149, 2150, 2151, 2152, 2153, 2154, 2155, 2156, 2157, 2158, 2159, 2160, 2161, 2162, 2163, 2164, 2165, 2166, 2167, 2168, 2169, 2170, 2171, 2172, 2173, 2174, 2175, 2176, 2177, 2178, 2179, 2180, 2181, 2182, 2183, 2184, 2185, 2186, 2187, 2188, 2189, 2190, 2191, 2192, 2193, 2194, 2195, 2196, 2197, 2198, 2199, 2200, 2201, 2202, 2203, 2204, 2205, 2206, 2207, 2208, 2209, 2210, 2211, 2212, 2213, 2214, 2215, 2216, 2217, 2218, 2219, 2220, 2221, 2222, 2223, 2224, 2225, 2226, 2227, 2228, 2229, 2230, 2231, 2232, 2233, 2234, 2235, 2236, 2237, 2238, 2239, 2240, 2241, 2242, 2243, 2244, 2245, 2246, 2247, 2248, 2249, 2250, 2251, 2252, 2253, 2254, 2255, 2256, 2257, 2258, 2259, 2260, 2261, 2262, 2263, 2264, 2265, 2266, 2267, 2268, 2269, 2270, 2271, 2272, 2273, 2274, 2275, 2276, 2277, 2278, 2279, 2280, 2281, 2282, 2283, 2284, 2285, 2286, 2287, 2288, 2289, 2290, 2291, 2292, 2293, 2294, 2295, 2296, 2297, 2298, 2299, 2300, 2301, 2302, 2303, 2304, 2305, 2306, 2307, 2308, 2309, 2310, 2311, 2312, 2313, 2314, 2315, 2316, 2317, 2318, 2319, 2320, 2321, 2322, 2323, 2324, 2325, 2326, 2327, 2328, 2329, 2330, 2331, 2332, 2333, 2334, 2335, 2336, 2337, 2338, 2339, 2340, 2341, 2342, 2343, 2344, 2345, 2346, 2347, 2348, 2349, 2350, 2351, 2352, 2353, 2354, 2355, 2356, 2357, 2358, 2359, 2360, 2361, 2362, 2363, 2364, 2365, 2366, 2367, 2368, 2369, 2370, 2371, 2372, 2373, 2374, 2375, 2376, 2377, 2378, 2379, 2380, 2381, 2382, 2383, 2384, 2385, 2386, 2387, 2388, 2389, 2390, 2391, 2392, 2393, 2394, 2395, 2396, 2397, 2398, 2399, 2400, 2401, 2402, 2403, 2404, 2405, 2406, 2407, 2408, 2409, 2410, 2411, 2412, 2413, 2414, 2415, 2416, 2417, 2418, 2419, 2420, 2421, 2422, 2423, 2424, 2425, 2426, 2427, 2428, 2429, 2430, 2431, 2432, 2433, 2434, 2435, 2436, 2437, 2438, 2439, 2440, 2441, 2442, 2443, 2444, 2445, 2446, 2447, 2448, 2449, 2450, 2451, 2452, 2453, 2454, 2455, 2456, 2457, 2458, 2459, 2460, 2461, 2462, 2463, 2464, 2465, 2466, 2467, 2468, 2469, 2470, 2471, 2472, 2473, 2474, 2475, 2476, 2477, 2478, 2479, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2487, 2488, 2489, 2490, 2491, 2492, 2493, 2494, 2495, 2496, 2497, 2498, 2499, 2500, 2501, 2502, 2503, 2504, 2505, 2506, 2507, 2508, 2509, 2510, 2511, 2512, 2513, 2514, 2515, 2516, 2517, 2518, 2519, 2520, 2521, 2522, 2523, 2524, 2525, 2526, 2527, 2528, 2529, 2530, 2531, 2532, 2533, 2534, 2535, 2536, 2537, 2538, 2539, 2540, 2541, 2542, 2543, 2544, 2545, 2546, 2547, 2548, 2549, 2550, 2551, 2552, 2553, 2554, 2555, 2556, 2557, 2558, 2559, 2560, 2561, 2562, 2563, 2564, 2565, 2566, 2567, 2568, 2569, 2570, 2571, 2572, 2573, 2574, 2575, 2576, 2577, 2578, 2579, 2580, 2581, 2582, 2583, 2584, 2585, 2586, 2587, 2588, 2589, 2590, 2591, 2592, 2593, 2594, 2595, 2596, 2597, 2598, 2599, 2600, 2601, 2602, 2603, 2604, 2605, 2606, 2607, 2608, 2609, 2610, 2611, 2612, 2613, 2614, 2615, 2616, 2617, 2618, 2619, 2620, 2621, 2622, 2623, 2624, 2625, 2626, 2627, 2628, 2629, 2630, 2631, 2632, 2633, 2634, 2635, 2636, 2637, 2638, 2639, 2640, 2641, 2642, 2643, 2644, 2645, 2646, 2647, 2648, 2649, 2650, 2651, 2652, 2653, 2654, 2655, 2656, 2657, 2658, 2659, 2660, 2661, 2662, 2663, 2664, 2665, 2666, 2667, 2668, 2669, 2670, 2671, 2672, 2673, 2674, 2675, 2676, 2677, 2678, 2679, 2680, 2681, 2682, 2683, 2684, 2685, 2686, 2687, 2688, 2689, 2690, 2691, 2692, 2693, 2694, 2695, 2696, 2697, 2698, 2699, 2700, 2701, 2702, 2703, 2704, 2705, 2706, 2707, 2708, 2709, 2710, 2711, 2712, 2713, 2714, 2715, 2716, 2717, 2718, 2719, 2720, 2721, 2722, 2723, 2724, 2725, 2726, 2727, 2728, 2729, 2730, 2731, 2732, 2733, 2734, 2735, 2736, 2737, 2738, 2739, 2740, 2741, 2742, 2743, 2744, 2745, 2746, 2747, 2748, 2749, 2750, 2751, 2752, 2753, 2754, 2755, 2756, 2757, 2758, 2759, 2760, 2761, 2762, 2763, 2764, 2765, 2766, 2767, 2768, 2769, 2770, 2771, 2772, 2773, 2774, 2775, 2776, 2777, 2778, 2779, 2780, 2781, 2782, 2783, 2784, 2785, 2786, 2787, 2788, 2789, 2790, 2791, 2792, 2793, 2794, 2795, 2796, 2797, 2798, 2799, 2800, 2801, 2802, 2803, 2804, 2805, 2806, 2807, 2808, 2809, 2810, 2811, 2812, 2813, 2814, 2815, 2816, 2817, 2818, 2819, 2820, 2821, 2822, 2823, 2824, 2825, 2826, 2827, 2828, 2829, 2830, 2831, 2832, 2833, 2834, 2835, 2836, 2837, 2838, 2839, 2840, 2841, 2842, 2843, 2844, 2845, 2846, 2847, 2848, 2849, 2850, 2851, 2852, 2853, 2854, 2855, 2856, 2857, 2858, 2859, 2860, 2861, 2862, 2863, 2864, 2865, 2866, 2867, 2868, 2869, 2870, 2871, 2872, 2873, 2874, 2875, 2876, 2877, 2878, 2879, 2880, 2881, 2882, 2883, 2884, 2885, 2886, 2887, 2888, 2889, 2890, 2891, 2892, 2893, 2894, 2895, 2896, 2897, 2898, 2899, 2900, 2901, 2902, 2903, 2904, 2905, 2906, 2907, 2908, 2909, 2910, 2911, 2912, 2913, 2914, 2915, 2916, 2917, 2918, 2919, 2920, 2921, 2922, 2923, 2924, 2925, 2926, 2927, 2928, 2929, 2930, 2931, 2932, 2933, 2934, 2935, 2936, 2937, 2938, 2939, 2940, 2941, 2942, 2943, 2944, 2945, 2946, 2947, 2948, 2949, 2950, 2951, 2952, 2953, 2954, 2955, 2956, 2957, 2958, 2959, 2960, 2961, 2962, 2963, 2964, 2965, 2966, 2967, 2968, 2969, 2970, 2971, 2972, 2973, 2974, 2975, 2976, 2977, 2978, 2979, 2980, 2981, 2982, 2983, 2984, 2985, 2986, 2987, 2988, 2989, 2990, 2991, 2992, 2993, 2994, 2995, 2996, 2997, 2998, 2999, 3000, 3001, 3002, 3003, 3004, 3005, 3006, 3007, 3008, 3009, 3010, 3011, 3012, 3013, 3014, 3015, 3016, 3017, 3018, 3019, 3020, 3021, 3022, 3023, 3024, 3025, 3026, 3027, 3028, 3029, 3030, 3031, 3032, 3033, 3034, 3035, 3036, 3037, 3038, 3039, 3040, 3041, 3042, 3043, 3044, 3045, 3046, 3047, 3048, 3049, 3050, 3051, 3052, 3053, 3054, 3055, 3056, 3057, 3058, 3059, 3060, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3070, 3071, 3072, 3073, 3074, 3075, 3076, 3077, 3078, 3079, 3080, 3081, 3082, 3083, 3084, 3085, 3086, 3087, 3088, 3089, 3090, 3091, 3092, 3093, 3094, 3095, 3096, 3097, 3098, 3099, 3100, 3101, 3102, 3103, 3104, 3105, 3106, 3107, 3108, 3109, 3110, 3111, 3112, 3113, 3114, 3115, 3116, 3117, 3118, 3119, 3120, 3121, 3122, 3123, 3124, 3125, 3126, 3127, 3128, 3129, 3130, 3131, 3132, 3133, 3134, 3135, 3136, 3137, 3138, 3139, 3140, 3141, 3142, 3143, 3144, 3145, 3146, 3147, 3148, 3149, 3150, 3151, 3152, 3153, 3154, 3155, 3156, 3157, 3158, 3159, 3160, 3161, 3162, 3163, 3164, 3165, 3166, 3167, 3168, 3169, 3170, 3171, 3172, 3173, 3174, 3175, 3176, 3177, 3178, 3179, 3180, 3181, 3182, 3183, 3184, 3185, 3186, 3187, 3188, 3189, 3190, 3191, 3192, 3193, 3194, 3195, 3196, 3197, 3198, 3199, 3200, 3201, 3202, 3203, 3204 ]
3,205
[ 1143, 85375, 128361, 128373, 128285, 59735, 129591, 130388, 128265, 128417, 129551, 489, 52885, 128377, 47742, 7369, 25388, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131786, 128361, 128373, 128285, 59735, 129591, 130388, 128336, 128283, 132026, 126260, 65526, 220, 16, 23, 12, 1162, 16731, 54, 128300, 220, 19, 14, 24, 14, 17, 15, 16, 17, 59735, 22730, 134082, 129101, 1163, 2185, 220, 85375, 134355, 128265, 330, 51, 58597, 132300, 128277, 131400, 128854, 59735, 134355, 128421, 128250, 62029, 128400, 128417, 129551, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 320, 828, 25388, 8, 128448, 128366, 11, 128448, 139961, 11, 128448, 132601, 128811, 128704, 47742, 132611, 128904, 1683, 117, 77, 135352, 342, 22516, 92430, 1, 128727, 63478, 129591, 130388, 134634, 141840, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 785, 78, 128270, 11, 128424, 128884, 132668, 128818, 128336, 128283, 78228, 128486, 128513, 19953, 125913, 128751, 11, 128266, 128757, 52537, 132864, 342, 22516, 92430, 47742, 1683, 117, 77, 135352, 342, 22516, 92430, 11, 142094, 129507, 61758, 128290, 19953, 125913, 128751, 11, 128266, 128757, 94576, 220, 20, 4, 481, 16, 15, 4, 52537, 132864, 342, 22516, 92430, 128448, 128366, 11, 128448, 139961, 11, 128448, 132601, 128811, 128704, 47742, 128757, 1683, 117, 77, 135352, 342, 22516, 92430, 128448, 128366, 624, 38, 124551, 131368, 129414, 128251, 130719, 128278, 128666, 128444, 128250, 62029, 128400, 129551, 128417, 489, 52885, 128377, 458, 128401, 342, 22516, 92430, 624, 1143, 85375, 128361, 308, 124634, 129398, 11, 129203, 128575, 19953, 125913, 128751, 11, 128266, 128757, 52537, 132864, 342, 22516, 92430, 11, 128757, 141700, 128263, 129240, 132058, 128281, 65526, 128251, 130276, 653, 52537, 132864, 342, 22516, 92430, 47742, 128757, 1683, 117, 77, 135352, 342, 22516, 92430, 128282, 128787, 63478, 129207, 128333, 37915, 129414, 128367, 128311, 128466, 128550, 128396, 11, 132278, 134601, 47742, 63478, 129207, 128333, 129398, 69086, 129784, 128361, 62029, 128400, 61758, 128290, 47742, 129121, 129572, 59735, 78228, 129029, 11, 129857, 11, 128704, 128675, 624, 34, 29341, 129029, 11, 8943, 11, 129857, 11, 73061, 8065, 78228, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 128424, 128884, 128531, 23165, 2143, 128329, 128366, 78228, 128486, 128513, 19953, 125913, 128751, 11, 128757, 52537, 132864, 342, 22516, 92430, 47742, 1683, 117, 77, 135352, 342, 22516, 92430, 26, 128498, 128451, 132356, 128366, 11, 62029, 128502, 11, 97483, 128502, 139227, 129643, 128336, 128283, 11, 128761, 129541, 129984, 128285, 94995, 128890, 47742, 128251, 128672, 132677, 128373, 134168, 89218, 66, 78228, 126370, 128333, 128265, 128417, 129551, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 11, 129507, 23686, 71, 134634, 1319, 11390, 78228, 128373, 3275, 3275, 130375, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 26, 128289, 132677, 128373, 128513, 129963, 128265, 489, 52885, 128377, 458, 128401, 342, 22516, 92430, 37915, 128249, 128575, 129311, 128826, 128309, 128403, 128432, 62029, 128400, 61758, 128290, 59735, 78228, 128322, 922, 276, 11, 128666, 128444, 47742, 132356, 128366, 11, 62029, 128310, 97483, 624, 55, 124317, 128855, 128575, 128997, 128265, 330, 85, 124626, 128585, 342, 22516, 92430, 22956, 33, 37678, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128427, 132630, 11, 131628, 128319, 128250, 78228, 128322, 922, 276, 128502, 128365, 128542, 922, 276, 128943, 128855, 11, 62029, 128888, 128575, 128997, 128265, 330, 85, 124626, 128585, 342, 22516, 92430, 1, 47742, 28776, 128495, 130361, 128846, 128653, 128336, 128283, 13, 22730, 132026, 128854, 1163, 2185, 220, 85375, 128265, 1319, 644, 489, 125017, 128401, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 98127, 128854, 128930, 128683, 128585, 342, 22516, 92430, 86139, 128811, 85536, 128564, 129984, 128285, 128401, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 79668, 135593, 129045, 11, 129984, 128285, 128310, 128394, 128336, 128283, 624, 33, 37678, 130303, 24790, 47742, 141901, 92430, 98127, 128854, 78228, 128322, 922, 276, 128603, 128997, 11, 92430, 24790, 128479, 128347, 128269, 1163, 2185, 220, 85375, 47742, 128704, 128675, 132668, 128818, 135593, 129045, 129984, 128285, 128310, 128394, 128336, 128283, 308, 124778, 128480, 128683, 128585, 342, 22516, 92430, 11, 128377, 130780, 132677, 128373, 78228, 126370, 128333, 59735, 128513, 129963, 128265, 128417, 129551, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 11, 129626, 135676, 128251, 128418, 11, 128289, 128418, 73586, 130351, 128250, 134634, 1319, 11390, 78228, 128373, 3275, 129234, 128431, 3275, 130375, 489, 52885, 128377, 458, 128401, 342, 22516, 92430, 52388, 33, 37678, 133218, 129677, 47742, 50327, 125017, 128425, 126341, 128502, 132175, 128871, 11, 129023, 129677, 128513, 129963, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 2600, 78228, 128322, 128760, 129023, 129677, 11, 131912, 128425, 26, 98127, 128854, 128930, 129023, 129677, 458, 128401, 342, 22516, 92430, 86139, 129784, 128361, 137384, 132856, 128311, 131774, 128272, 78228, 128376, 128292, 624, 3357, 16685, 128283, 47742, 129888, 128356, 137288, 128327, 78228, 128406, 133549, 128265, 52537, 132864, 342, 22516, 92430, 624, 1143, 125012, 130388, 128498, 128451, 129029, 479, 22516, 92430, 129984, 130897, 128427, 132630, 128943, 128855, 128361, 129591, 130388, 128456, 128595, 129572, 128751, 128675, 129698, 58701, 128310, 270, 309, 94995, 342, 22516, 92430, 128269, 78228, 130287, 126260, 128465, 624, 33, 27021, 129623, 128270, 11, 98127, 128854, 78228, 133827, 342, 22516, 92430, 129984, 130897, 128529, 132300, 133804, 129261, 78228, 653, 27924, 128386, 11, 128319, 128400, 128847, 129984, 130897, 128336, 128283, 128289, 135765, 128845, 128422, 128279, 133804, 129261, 128373, 128361, 2600, 82790, 128435, 130003, 11, 128353, 128284, 134897, 88057, 92430, 24790, 59735, 128422, 128279, 133804, 129261, 128373, 128361, 79668, 128904, 128367, 62029, 128400, 129270, 128356, 128275, 128301, 128265, 128623, 128285, 129984, 130897, 624, 33, 37678, 134352, 128311, 130693, 129156, 11, 128361, 129591, 130388, 132038, 128726, 126370, 128333, 128265, 130554, 128812, 128371, 293, 20229, 128421, 128250, 78228, 128331, 128319, 28240, 129064, 11, 1853, 128830, 128675, 129698, 79126, 129418, 129212, 129831, 128319, 128250, 128419, 128338, 128336, 128384, 94994, 28240, 129064, 11, 1853, 128830, 79668, 128427, 128675, 129698, 128336, 128283, 134168, 89218, 66, 128289, 28240, 129064, 11, 128726, 128427, 128675, 129698, 624, 33, 37678, 479, 22516, 92430, 129984, 130897, 11, 129029, 128534, 458, 11, 129029, 128494, 128441, 11, 129029, 444, 3441, 128285, 481, 137048, 9544, 71, 47742, 1599, 3202, 128410, 131628, 128319, 64061, 128980, 78228, 129675, 1091, 71, 9586, 11, 129522, 9586, 134168, 89218, 66, 78228, 128322, 128760, 11, 128331, 11, 489, 2185, 128396, 131912, 128425, 53638, 72, 82790, 11, 489, 2185, 128396, 129261, 305, 125202, 11, 62029, 128400, 128376, 131826, 130224, 53638, 72, 82790, 79668, 128826, 128309, 128336, 129916, 128401, 129054, 11, 128351, 922, 276, 128265, 62029, 128400, 131912, 128425, 11, 129261, 305, 125202, 11, 128376, 131826, 130224, 53638, 72, 82790, 128283, 308, 352, 624, 33, 37678, 479, 22516, 92430, 129984, 130897, 98127, 128854, 78228, 128322, 922, 276, 129270, 128356, 128448, 128366, 128454, 132278, 435, 6362, 134814, 79668, 128362, 128283, 47742, 129888, 128356, 137288, 128327, 78228, 128406, 133549, 128265, 52537, 132864, 342, 22516, 92430, 128273, 128448, 128366, 624, 33, 37678, 128534, 458, 128427, 132630, 128336, 128283, 133784, 128595, 330, 55, 124317, 128855, 128457, 128573, 133804, 129261, 11, 129888, 128356, 3275, 130375, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 128273, 78228, 130980, 128664, 130540, 128550, 128406, 5123, 128371, 128668, 11, 128553, 489, 2185, 128943, 128855, 128457, 128573, 133804, 129261, 11, 129888, 128356, 3275, 130375, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 128273, 78228, 130980, 128664, 130540, 128550, 128406, 11, 69086, 128811, 130287, 64061, 128974, 128521, 128685, 47742, 64061, 128974, 129785, 131868, 92155, 47742, 78228, 130287, 126260, 128465, 624, 46788, 124431, 128904, 1683, 117, 77, 135352, 128272, 78228, 130287, 126260, 128465, 624, 4493, 8065, 29070, 128521, 128685, 11, 29070, 129785, 131868, 92155, 128360, 130483, 128924, 128943, 128855, 78228, 128451, 132629, 131314, 11, 305, 125139, 128272, 78228, 308, 124931, 342, 22516, 92430, 128550, 128406, 11, 128425, 342, 22516, 134362, 128354, 129240, 26, 128980, 126370, 130361, 47742, 126341, 128502, 128943, 128855, 78228, 141109, 14854, 71431, 82790, 11, 128406, 14854, 71431, 82790, 7777, 125139, 128475, 128271, 131520, 624, 40225, 124483, 128327, 11, 128427, 132630, 11, 131628, 128319, 128250, 129029, 479, 22516, 92430, 129984, 130897, 11, 129029, 128534, 458, 128826, 128309, 128400, 128285, 128289, 128336, 128283, 128334, 132314, 128626, 128266, 128289, 11, 128292, 128553, 11, 595, 20868, 653, 27924, 128273, 128704, 129030, 69086, 128327, 342, 1103, 73525, 13, 141937, 128884, 130693, 129156, 11, 128456, 128415, 270, 352, 128726, 128626, 128266, 128289, 11, 128292, 128553, 11, 595, 20868, 653, 27924, 129551, 128417, 72067, 64, 128292, 11, 128319, 128356, 11, 129572, 128751, 129480, 128375, 128675, 129698, 79668, 129036, 143164, 128675, 129698, 11, 128251, 270, 309, 94995, 342, 22516, 92430, 69086, 128626, 2162, 78, 128406, 128344, 53037, 128882, 856, 77689, 489, 37678, 77, 11, 128492, 129589, 128465, 128263, 97832, 128623, 11, 73586, 85852, 59735, 128251, 128394, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1143, 85375, 128361, 128373, 128285, 59735, 129591, 130388, 128265, 128417, 129551, 489, 52885, 128377, 47742, 7369, 25388, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131786, 128361, 128373, 128285, 59735, 129591, 130388, 128336, 128283, 132026, 126260, 65526, 220, 16, 23, 12, 1162, 16731, 54, 128300, 220, 19, 14, 24, 14, 17, 15, 16, 17, 59735, 22730, 134082, 129101, 1163, 2185, 220, 85375, 134355, 128265, 330, 51, 58597, 132300, 128277, 131400, 128854, 59735, 134355, 128421, 128250, 62029, 128400, 128417, 129551, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 320, 828, 25388, 8, 128448, 128366, 11, 128448, 139961, 11, 128448, 132601, 128811, 128704, 47742, 132611, 128904, 1683, 117, 77, 135352, 342, 22516, 92430, 1, 128727, 63478, 129591, 130388, 134634, 141840, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 785, 78, 128270, 11, 128424, 128884, 132668, 128818, 128336, 128283, 78228, 128486, 128513, 19953, 125913, 128751, 11, 128266, 128757, 52537, 132864, 342, 22516, 92430, 47742, 1683, 117, 77, 135352, 342, 22516, 92430, 11, 142094, 129507, 61758, 128290, 19953, 125913, 128751, 11, 128266, 128757, 94576, 220, 20, 4, 481, 16, 15, 4, 52537, 132864, 342, 22516, 92430, 128448, 128366, 11, 128448, 139961, 11, 128448, 132601, 128811, 128704, 47742, 128757, 1683, 117, 77, 135352, 342, 22516, 92430, 128448, 128366, 624, 38, 124551, 131368, 129414, 128251, 130719, 128278, 128666, 128444, 128250, 62029, 128400, 129551, 128417, 489, 52885, 128377, 458, 128401, 342, 22516, 92430, 624, 1143, 85375, 128361, 308, 124634, 129398, 11, 129203, 128575, 19953, 125913, 128751, 11, 128266, 128757, 52537, 132864, 342, 22516, 92430, 11, 128757, 141700, 128263, 129240, 132058, 128281, 65526, 128251, 130276, 653, 52537, 132864, 342, 22516, 92430, 47742, 128757, 1683, 117, 77, 135352, 342, 22516, 92430, 128282, 128787, 63478, 129207, 128333, 37915, 129414, 128367, 128311, 128466, 128550, 128396, 11, 132278, 134601, 47742, 63478, 129207, 128333, 129398, 69086, 129784, 128361, 62029, 128400, 61758, 128290, 47742, 129121, 129572, 59735, 78228, 129029, 11, 129857, 11, 128704, 128675, 624, 34, 29341, 129029, 11, 8943, 11, 129857, 11, 73061, 8065, 78228, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 128424, 128884, 128531, 23165, 2143, 128329, 128366, 78228, 128486, 128513, 19953, 125913, 128751, 11, 128757, 52537, 132864, 342, 22516, 92430, 47742, 1683, 117, 77, 135352, 342, 22516, 92430, 26, 128498, 128451, 132356, 128366, 11, 62029, 128502, 11, 97483, 128502, 139227, 129643, 128336, 128283, 11, 128761, 129541, 129984, 128285, 94995, 128890, 47742, 128251, 128672, 132677, 128373, 134168, 89218, 66, 78228, 126370, 128333, 128265, 128417, 129551, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 11, 129507, 23686, 71, 134634, 1319, 11390, 78228, 128373, 3275, 3275, 130375, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 26, 128289, 132677, 128373, 128513, 129963, 128265, 489, 52885, 128377, 458, 128401, 342, 22516, 92430, 37915, 128249, 128575, 129311, 128826, 128309, 128403, 128432, 62029, 128400, 61758, 128290, 59735, 78228, 128322, 922, 276, 11, 128666, 128444, 47742, 132356, 128366, 11, 62029, 128310, 97483, 624, 55, 124317, 128855, 128575, 128997, 128265, 330, 85, 124626, 128585, 342, 22516, 92430, 22956, 33, 37678, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128427, 132630, 11, 131628, 128319, 128250, 78228, 128322, 922, 276, 128502, 128365, 128542, 922, 276, 128943, 128855, 11, 62029, 128888, 128575, 128997, 128265, 330, 85, 124626, 128585, 342, 22516, 92430, 1, 47742, 28776, 128495, 130361, 128846, 128653, 128336, 128283, 13, 22730, 132026, 128854, 1163, 2185, 220, 85375, 128265, 1319, 644, 489, 125017, 128401, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 98127, 128854, 128930, 128683, 128585, 342, 22516, 92430, 86139, 128811, 85536, 128564, 129984, 128285, 128401, 128394, 129675, 128403, 128943, 128855, 129169, 128480, 128683, 128585, 128269, 127980, 128394, 129447, 79668, 135593, 129045, 11, 129984, 128285, 128310, 128394, 128336, 128283, 624, 33, 37678, 130303, 24790, 47742, 141901, 92430, 98127, 128854, 78228, 128322, 922, 276, 128603, 128997, 11, 92430, 24790, 128479, 128347, 128269, 1163, 2185, 220, 85375, 47742, 128704, 128675, 132668, 128818, 135593, 129045, 129984, 128285, 128310, 128394, 128336, 128283, 308, 124778, 128480, 128683, 128585, 342, 22516, 92430, 11, 128377, 130780, 132677, 128373, 78228, 126370, 128333, 59735, 128513, 129963, 128265, 128417, 129551, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 11, 129626, 135676, 128251, 128418, 11, 128289, 128418, 73586, 130351, 128250, 134634, 1319, 11390, 78228, 128373, 3275, 129234, 128431, 3275, 130375, 489, 52885, 128377, 458, 128401, 342, 22516, 92430, 52388, 33, 37678, 133218, 129677, 47742, 50327, 125017, 128425, 126341, 128502, 132175, 128871, 11, 129023, 129677, 128513, 129963, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 2600, 78228, 128322, 128760, 129023, 129677, 11, 131912, 128425, 26, 98127, 128854, 128930, 129023, 129677, 458, 128401, 342, 22516, 92430, 86139, 129784, 128361, 137384, 132856, 128311, 131774, 128272, 78228, 128376, 128292, 624, 3357, 16685, 128283, 47742, 129888, 128356, 137288, 128327, 78228, 128406, 133549, 128265, 52537, 132864, 342, 22516, 92430, 624, 1143, 125012, 130388, 128498, 128451, 129029, 479, 22516, 92430, 129984, 130897, 128427, 132630, 128943, 128855, 128361, 129591, 130388, 128456, 128595, 129572, 128751, 128675, 129698, 58701, 128310, 270, 309, 94995, 342, 22516, 92430, 128269, 78228, 130287, 126260, 128465, 624, 33, 27021, 129623, 128270, 11, 98127, 128854, 78228, 133827, 342, 22516, 92430, 129984, 130897, 128529, 132300, 133804, 129261, 78228, 653, 27924, 128386, 11, 128319, 128400, 128847, 129984, 130897, 128336, 128283, 128289, 135765, 128845, 128422, 128279, 133804, 129261, 128373, 128361, 2600, 82790, 128435, 130003, 11, 128353, 128284, 134897, 88057, 92430, 24790, 59735, 128422, 128279, 133804, 129261, 128373, 128361, 79668, 128904, 128367, 62029, 128400, 129270, 128356, 128275, 128301, 128265, 128623, 128285, 129984, 130897, 624, 33, 37678, 134352, 128311, 130693, 129156, 11, 128361, 129591, 130388, 132038, 128726, 126370, 128333, 128265, 130554, 128812, 128371, 293, 20229, 128421, 128250, 78228, 128331, 128319, 28240, 129064, 11, 1853, 128830, 128675, 129698, 79126, 129418, 129212, 129831, 128319, 128250, 128419, 128338, 128336, 128384, 94994, 28240, 129064, 11, 1853, 128830, 79668, 128427, 128675, 129698, 128336, 128283, 134168, 89218, 66, 128289, 28240, 129064, 11, 128726, 128427, 128675, 129698, 624, 33, 37678, 479, 22516, 92430, 129984, 130897, 11, 129029, 128534, 458, 11, 129029, 128494, 128441, 11, 129029, 444, 3441, 128285, 481, 137048, 9544, 71, 47742, 1599, 3202, 128410, 131628, 128319, 64061, 128980, 78228, 129675, 1091, 71, 9586, 11, 129522, 9586, 134168, 89218, 66, 78228, 128322, 128760, 11, 128331, 11, 489, 2185, 128396, 131912, 128425, 53638, 72, 82790, 11, 489, 2185, 128396, 129261, 305, 125202, 11, 62029, 128400, 128376, 131826, 130224, 53638, 72, 82790, 79668, 128826, 128309, 128336, 129916, 128401, 129054, 11, 128351, 922, 276, 128265, 62029, 128400, 131912, 128425, 11, 129261, 305, 125202, 11, 128376, 131826, 130224, 53638, 72, 82790, 128283, 308, 352, 624, 33, 37678, 479, 22516, 92430, 129984, 130897, 98127, 128854, 78228, 128322, 922, 276, 129270, 128356, 128448, 128366, 128454, 132278, 435, 6362, 134814, 79668, 128362, 128283, 47742, 129888, 128356, 137288, 128327, 78228, 128406, 133549, 128265, 52537, 132864, 342, 22516, 92430, 128273, 128448, 128366, 624, 33, 37678, 128534, 458, 128427, 132630, 128336, 128283, 133784, 128595, 330, 55, 124317, 128855, 128457, 128573, 133804, 129261, 11, 129888, 128356, 3275, 130375, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 128273, 78228, 130980, 128664, 130540, 128550, 128406, 5123, 128371, 128668, 11, 128553, 489, 2185, 128943, 128855, 128457, 128573, 133804, 129261, 11, 129888, 128356, 3275, 130375, 489, 52885, 128377, 11, 458, 128401, 342, 22516, 92430, 128273, 78228, 130980, 128664, 130540, 128550, 128406, 11, 69086, 128811, 130287, 64061, 128974, 128521, 128685, 47742, 64061, 128974, 129785, 131868, 92155, 47742, 78228, 130287, 126260, 128465, 624, 46788, 124431, 128904, 1683, 117, 77, 135352, 128272, 78228, 130287, 126260, 128465, 624, 4493, 8065, 29070, 128521, 128685, 11, 29070, 129785, 131868, 92155, 128360, 130483, 128924, 128943, 128855, 78228, 128451, 132629, 131314, 11, 305, 125139, 128272, 78228, 308, 124931, 342, 22516, 92430, 128550, 128406, 11, 128425, 342, 22516, 134362, 128354, 129240, 26, 128980, 126370, 130361, 47742, 126341, 128502, 128943, 128855, 78228, 141109, 14854, 71431, 82790, 11, 128406, 14854, 71431, 82790, 7777, 125139, 128475, 128271, 131520, 624, 40225, 124483, 128327, 11, 128427, 132630, 11, 131628, 128319, 128250, 129029, 479, 22516, 92430, 129984, 130897, 11, 129029, 128534, 458, 128826, 128309, 128400, 128285, 128289, 128336, 128283, 128334, 132314, 128626, 128266, 128289, 11, 128292, 128553, 11, 595, 20868, 653, 27924, 128273, 128704, 129030, 69086, 128327, 342, 1103, 73525, 13, 141937, 128884, 130693, 129156, 11, 128456, 128415, 270, 352, 128726, 128626, 128266, 128289, 11, 128292, 128553, 11, 595, 20868, 653, 27924, 129551, 128417, 72067, 64, 128292, 11, 128319, 128356, 11, 129572, 128751, 129480, 128375, 128675, 129698, 79668, 129036, 143164, 128675, 129698, 11, 128251, 270, 309, 94995, 342, 22516, 92430, 69086, 128626, 2162, 78, 128406, 128344, 53037, 128882, 856, 77689, 489, 37678, 77, 11, 128492, 129589, 128465, 128263, 97832, 128623, 11, 73586, 85852, 59735, 128251, 128394, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394 ]
1,395
[ 50, 40707, 128415, 595, 20868, 653, 27924, 129857, 128943, 128855, 129664, 220, 24, 15, 11, 16, 4, 128495, 130361, 128290, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 1163, 644, 128526, 220, 16, 16, 14, 17, 15, 16, 16, 11, 128309, 128466, 85636, 128415, 595, 20868, 653, 27924, 59735, 78228, 128666, 128444, 129857, 128943, 128855, 79126, 129664, 220, 16, 17, 13, 19, 17, 18, 11, 19, 129427, 128329, 13, 130017, 128309, 128466, 85636, 128415, 595, 20868, 653, 27924, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 220, 124603, 129664, 220, 16, 18, 22, 13, 17, 24, 18, 11, 19, 129427, 128329, 11, 128411, 220, 24, 15, 11, 16, 4, 773, 128250, 128495, 130361, 128290, 220, 17, 15, 16, 16, 11, 128529, 220, 16, 16, 11, 23, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 1282, 644, 128334, 129065, 85636, 128415, 595, 20868, 653, 27924, 59735, 78228, 653, 27924, 128386, 128339, 521, 2185, 47742, 126260, 128331, 128633, 128285, 85636, 141631, 135378, 128327, 342, 1103, 73525, 11, 128623, 128285, 85636, 128415, 595, 20868, 653, 27924, 59735, 78228, 653, 27924, 128386, 129281, 129029, 1599, 124317, 128855, 69086, 128526, 220, 16, 16, 47742, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 128487, 28776, 129240, 128529, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 624, 34, 50483, 128254, 11, 128309, 128466, 85636, 128415, 595, 20868, 653, 27924, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 220, 124603, 129664, 220, 16, 18, 22, 13, 17, 24, 18, 11, 19, 129427, 128329, 11, 128411, 220, 24, 15, 11, 16, 4, 773, 128250, 128495, 130361, 128290, 220, 17, 15, 16, 16, 11, 128411, 220, 16, 16, 16, 11, 23, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 13, 1163, 644, 128270, 11, 128309, 128466, 128943, 135765, 220, 124603, 129664, 220, 20, 20, 13, 20, 23, 19, 11, 22, 129427, 128329, 11, 128529, 220, 23, 11, 19, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 624, 46841, 1953, 128466, 85636, 128415, 62029, 128386, 47742, 128853, 88057, 128943, 128855, 320, 74, 33450, 125440, 130017, 62029, 13580, 42426, 296, 58597, 128324, 29974, 8, 69086, 220, 16, 16, 128526, 73525, 220, 124603, 129664, 220, 20, 16, 13, 24, 19, 18, 11, 18, 129427, 128329, 11, 128411, 220, 24, 18, 11, 20, 4, 773, 128250, 128495, 130361, 128290, 11, 128529, 220, 16, 15, 11, 18, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 624, 33, 37678, 1599, 124317, 128855, 2600, 128345, 11, 220, 124603, 128336, 128283, 85636, 128415, 37590, 296, 58597, 128401, 129857, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 129664, 220, 19, 18, 11, 21, 18, 129077, 133270, 11, 128411, 220, 23, 15, 4, 773, 128495, 130361, 128290, 220, 17, 15, 16, 16, 624, 1001, 124397, 220, 16, 16, 11, 85636, 128375, 37590, 296, 58597, 128575, 135364, 79126, 128529, 773, 128250, 128526, 220, 16, 15, 128344, 128487, 138117, 11, 128757, 128949, 128818, 773, 128250, 78228, 128526, 129681, 220, 19, 128340, 128880, 128290, 128371, 624, 70630, 296, 58597, 128575, 135364, 128757, 128818, 653, 128492, 129589, 59735, 128327, 128861, 136733, 128271, 47742, 128277, 141631, 135378, 59735, 126260, 128331, 128633, 128285, 85636, 13, 134360, 128375, 37590, 296, 58597, 128575, 135364, 69086, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 220, 124603, 129664, 220, 19, 18, 11, 16, 129077, 133270, 11, 128411, 220, 22, 24, 4, 128495, 130361, 128290, 220, 17, 15, 16, 16, 624, 52971, 25232, 129126, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 50, 40707, 128415, 595, 20868, 653, 27924, 129857, 128943, 128855, 129664, 220, 24, 15, 11, 16, 4, 128495, 130361, 128290, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 1163, 644, 128526, 220, 16, 16, 14, 17, 15, 16, 16, 11, 128309, 128466, 85636, 128415, 595, 20868, 653, 27924, 59735, 78228, 128666, 128444, 129857, 128943, 128855, 79126, 129664, 220, 16, 17, 13, 19, 17, 18, 11, 19, 129427, 128329, 13, 130017, 128309, 128466, 85636, 128415, 595, 20868, 653, 27924, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 220, 124603, 129664, 220, 16, 18, 22, 13, 17, 24, 18, 11, 19, 129427, 128329, 11, 128411, 220, 24, 15, 11, 16, 4, 773, 128250, 128495, 130361, 128290, 220, 17, 15, 16, 16, 11, 128529, 220, 16, 16, 11, 23, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 1282, 644, 128334, 129065, 85636, 128415, 595, 20868, 653, 27924, 59735, 78228, 653, 27924, 128386, 128339, 521, 2185, 47742, 126260, 128331, 128633, 128285, 85636, 141631, 135378, 128327, 342, 1103, 73525, 11, 128623, 128285, 85636, 128415, 595, 20868, 653, 27924, 59735, 78228, 653, 27924, 128386, 129281, 129029, 1599, 124317, 128855, 69086, 128526, 220, 16, 16, 47742, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 128487, 28776, 129240, 128529, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 624, 34, 50483, 128254, 11, 128309, 128466, 85636, 128415, 595, 20868, 653, 27924, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 220, 124603, 129664, 220, 16, 18, 22, 13, 17, 24, 18, 11, 19, 129427, 128329, 11, 128411, 220, 24, 15, 11, 16, 4, 773, 128250, 128495, 130361, 128290, 220, 17, 15, 16, 16, 11, 128411, 220, 16, 16, 16, 11, 23, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 13, 1163, 644, 128270, 11, 128309, 128466, 128943, 135765, 220, 124603, 129664, 220, 20, 20, 13, 20, 23, 19, 11, 22, 129427, 128329, 11, 128529, 220, 23, 11, 19, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 624, 46841, 1953, 128466, 85636, 128415, 62029, 128386, 47742, 128853, 88057, 128943, 128855, 320, 74, 33450, 125440, 130017, 62029, 13580, 42426, 296, 58597, 128324, 29974, 8, 69086, 220, 16, 16, 128526, 73525, 220, 124603, 129664, 220, 20, 16, 13, 24, 19, 18, 11, 18, 129427, 128329, 11, 128411, 220, 24, 18, 11, 20, 4, 773, 128250, 128495, 130361, 128290, 11, 128529, 220, 16, 15, 11, 18, 4, 773, 128250, 128340, 128880, 128290, 220, 17, 15, 16, 15, 624, 33, 37678, 1599, 124317, 128855, 2600, 128345, 11, 220, 124603, 128336, 128283, 85636, 128415, 37590, 296, 58597, 128401, 129857, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 129664, 220, 19, 18, 11, 21, 18, 129077, 133270, 11, 128411, 220, 23, 15, 4, 773, 128495, 130361, 128290, 220, 17, 15, 16, 16, 624, 1001, 124397, 220, 16, 16, 11, 85636, 128375, 37590, 296, 58597, 128575, 135364, 79126, 128529, 773, 128250, 128526, 220, 16, 15, 128344, 128487, 138117, 11, 128757, 128949, 128818, 773, 128250, 78228, 128526, 129681, 220, 19, 128340, 128880, 128290, 128371, 624, 70630, 296, 58597, 128575, 135364, 128757, 128818, 653, 128492, 129589, 59735, 128327, 128861, 136733, 128271, 47742, 128277, 141631, 135378, 59735, 126260, 128331, 128633, 128285, 85636, 13, 134360, 128375, 37590, 296, 58597, 128575, 135364, 69086, 220, 16, 16, 128526, 128290, 220, 17, 15, 16, 16, 220, 124603, 129664, 220, 19, 18, 11, 16, 129077, 133270, 11, 128411, 220, 22, 24, 4, 128495, 130361, 128290, 220, 17, 15, 16, 16, 624, 52971, 25232, 129126, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587 ]
588
[ 39, 51549, 348, 49886, 1091, 71, 132883, 129329, 135241, 270, 309, 94995, 128623, 128285, 128419, 138030, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 444, 84455, 128427, 128456, 1036, 52971, 97516, 128634, 129329, 135241, 521, 2185, 259, 352, 128943, 128855, 132234, 138757, 92105, 11, 128683, 128585, 128683, 1308, 71, 130287, 126260, 9336, 94576, 129742, 128526, 220, 21, 128263, 129181, 128526, 220, 23, 14, 17, 15, 16, 18, 11, 129932, 129675, 129329, 135241, 126341, 128502, 128271, 129784, 128361, 2600, 128599, 128375, 129675, 97483, 11, 1091, 71, 132883, 11, 128292, 97832, 11, 97832, 97483, 624, 26067, 71, 132883, 128265, 132234, 138757, 270, 309, 94995, 128623, 128285, 128430, 128251, 128394, 13, 220, 126884, 16719, 25, 647, 24430, 23354, 124483, 472, 125092, 624, 50, 124397, 220, 17, 22, 14, 21, 11, 129932, 138120, 129329, 135241, 126341, 128502, 131309, 15122, 129866, 129009, 128507, 1091, 71, 132883, 11, 97832, 97483, 11, 128292, 97832, 128419, 138030, 136252, 220, 17, 15, 16, 18, 11, 128250, 128623, 128285, 129058, 1091, 71, 132883, 128249, 128289, 128266, 128419, 138030, 11, 129058, 128322, 128760, 138120, 128249, 62029, 128361, 11, 128463, 128289, 128422, 128336, 270, 309, 94995, 128943, 128855, 132234, 138757, 92105, 624, 1143, 85375, 128361, 77374, 130862, 61758, 348, 49886, 1091, 71, 132883, 29070, 129329, 135241, 270, 309, 94995, 128943, 128855, 132234, 138757, 92105, 320, 132368, 76, 128448, 342, 22516, 92430, 11, 132175, 130569, 24790, 128292, 2600, 128292, 97832, 11, 128943, 128275, 128310, 18698, 72, 1112, 1215, 128943, 128855, 128683, 1308, 71, 130287, 126260, 320, 968, 53022, 128720, 293, 127200, 128419, 138030, 11, 128427, 131330, 856, 27924, 11, 1091, 71, 132883, 128250, 128683, 128585, 342, 22516, 92430, 1112, 1215, 128424, 128738, 130567, 61328, 26, 128417, 129067, 129991, 128331, 26, 458, 128401, 342, 22516, 92430, 26, 126341, 128502, 131797, 128453, 11, 128362, 129374, 47742, 128266, 62029, 128400, 128847, 128410, 128430, 128301, 89437, 444, 125017, 9338, 35, 61031, 128935, 131786, 128361, 128267, 305, 4076, 128285, 63478, 220, 20, 15, 13, 15, 15, 15, 128300, 62029, 128419, 138030, 128430, 137205, 78228, 129838, 128639, 130909, 128272, 129329, 135241, 11, 133314, 29974, 47742, 128301, 89437, 444, 125017, 26, 128266, 220, 18, 13, 24, 19, 15, 76, 128448, 342, 22516, 92430, 132234, 138757, 11, 308, 88316, 348, 10302, 220, 18, 13, 20, 20, 15, 76, 142770, 296, 85375, 11, 129481, 128886, 856, 58875, 14854, 125444, 128757, 138816, 11, 489, 3441, 135282, 2600, 128292, 97832, 138816, 132629, 128639, 9338, 45, 3346, 52551, 15122, 11, 128272, 127980, 128978, 64061, 126260, 11, 131786, 128361, 128430, 129168, 220, 16, 15, 13, 15, 15, 15, 129675, 97483, 11, 1091, 71, 132883, 63478, 128379, 128580, 128846, 128386, 11, 132856, 132197, 47742, 128449, 132786, 128289, 128266, 26, 220, 16, 15, 13, 15, 15, 15, 128251, 63478, 131797, 130489, 128453, 11, 128379, 128580, 128738, 129700, 26, 128329, 128327, 305, 4076, 128285, 220, 20, 13, 15, 15, 15, 128666, 128444, 131641, 624, 39, 124483, 472, 125092, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39, 51549, 348, 49886, 1091, 71, 132883, 129329, 135241, 270, 309, 94995, 128623, 128285, 128419, 138030, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 444, 84455, 128427, 128456, 1036, 52971, 97516, 128634, 129329, 135241, 521, 2185, 259, 352, 128943, 128855, 132234, 138757, 92105, 11, 128683, 128585, 128683, 1308, 71, 130287, 126260, 9336, 94576, 129742, 128526, 220, 21, 128263, 129181, 128526, 220, 23, 14, 17, 15, 16, 18, 11, 129932, 129675, 129329, 135241, 126341, 128502, 128271, 129784, 128361, 2600, 128599, 128375, 129675, 97483, 11, 1091, 71, 132883, 11, 128292, 97832, 11, 97832, 97483, 624, 26067, 71, 132883, 128265, 132234, 138757, 270, 309, 94995, 128623, 128285, 128430, 128251, 128394, 13, 220, 126884, 16719, 25, 647, 24430, 23354, 124483, 472, 125092, 624, 50, 124397, 220, 17, 22, 14, 21, 11, 129932, 138120, 129329, 135241, 126341, 128502, 131309, 15122, 129866, 129009, 128507, 1091, 71, 132883, 11, 97832, 97483, 11, 128292, 97832, 128419, 138030, 136252, 220, 17, 15, 16, 18, 11, 128250, 128623, 128285, 129058, 1091, 71, 132883, 128249, 128289, 128266, 128419, 138030, 11, 129058, 128322, 128760, 138120, 128249, 62029, 128361, 11, 128463, 128289, 128422, 128336, 270, 309, 94995, 128943, 128855, 132234, 138757, 92105, 624, 1143, 85375, 128361, 77374, 130862, 61758, 348, 49886, 1091, 71, 132883, 29070, 129329, 135241, 270, 309, 94995, 128943, 128855, 132234, 138757, 92105, 320, 132368, 76, 128448, 342, 22516, 92430, 11, 132175, 130569, 24790, 128292, 2600, 128292, 97832, 11, 128943, 128275, 128310, 18698, 72, 1112, 1215, 128943, 128855, 128683, 1308, 71, 130287, 126260, 320, 968, 53022, 128720, 293, 127200, 128419, 138030, 11, 128427, 131330, 856, 27924, 11, 1091, 71, 132883, 128250, 128683, 128585, 342, 22516, 92430, 1112, 1215, 128424, 128738, 130567, 61328, 26, 128417, 129067, 129991, 128331, 26, 458, 128401, 342, 22516, 92430, 26, 126341, 128502, 131797, 128453, 11, 128362, 129374, 47742, 128266, 62029, 128400, 128847, 128410, 128430, 128301, 89437, 444, 125017, 9338, 35, 61031, 128935, 131786, 128361, 128267, 305, 4076, 128285, 63478, 220, 20, 15, 13, 15, 15, 15, 128300, 62029, 128419, 138030, 128430, 137205, 78228, 129838, 128639, 130909, 128272, 129329, 135241, 11, 133314, 29974, 47742, 128301, 89437, 444, 125017, 26, 128266, 220, 18, 13, 24, 19, 15, 76, 128448, 342, 22516, 92430, 132234, 138757, 11, 308, 88316, 348, 10302, 220, 18, 13, 20, 20, 15, 76, 142770, 296, 85375, 11, 129481, 128886, 856, 58875, 14854, 125444, 128757, 138816, 11, 489, 3441, 135282, 2600, 128292, 97832, 138816, 132629, 128639, 9338, 45, 3346, 52551, 15122, 11, 128272, 127980, 128978, 64061, 126260, 11, 131786, 128361, 128430, 129168, 220, 16, 15, 13, 15, 15, 15, 129675, 97483, 11, 1091, 71, 132883, 63478, 128379, 128580, 128846, 128386, 11, 132856, 132197, 47742, 128449, 132786, 128289, 128266, 26, 220, 16, 15, 13, 15, 15, 15, 128251, 63478, 131797, 130489, 128453, 11, 128379, 128580, 128738, 129700, 26, 128329, 128327, 305, 4076, 128285, 220, 20, 13, 15, 15, 15, 128666, 128444, 131641, 624, 39, 124483, 472, 125092, 624, 151645 ]
[ 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
[ 35, 84455, 128350, 128431, 128997, 128292, 128553, 11, 348, 18934, 67657, 128350, 69086, 128314, 128457, 128634, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 138310, 128362, 305, 4076, 128818, 137125, 128304, 128870, 39486, 129659, 856, 2185, 130767, 59735, 129675, 97483, 1091, 71, 132883, 11, 294, 84455, 128350, 128431, 128997, 128292, 128553, 348, 18934, 67657, 128350, 47742, 128480, 279, 78, 129045, 128573, 128418, 128501, 59735, 128394, 133952, 69086, 128314, 128457, 128634, 11, 130390, 131943, 128984, 350, 124644, 142840, 137429, 128818, 624, 56635, 124477, 220, 17, 14, 21, 11, 128272, 1163, 50483, 128760, 129591, 130388, 11, 130390, 131943, 128984, 350, 124644, 142840, 47742, 131400, 128854, 128249, 65526, 129029, 11, 129857, 79126, 128266, 128289, 128250, 22730, 134082, 129101, 1163, 2185, 220, 85375, 138120, 30923, 6412, 129785, 131868, 92155, 13, 647, 2143, 129659, 856, 2185, 130767, 59735, 138120, 30923, 6412, 129785, 131868, 92155, 130390, 131943, 128984, 350, 124644, 142840, 128826, 128309, 11, 69086, 128334, 129065, 128750, 128301, 129233, 128271, 128639, 130909, 11, 128599, 128375, 1091, 71, 132883, 79126, 128424, 128884, 128362, 305, 4076, 129045, 128573, 11, 128365, 128285, 128688, 128425, 11, 128425, 15122, 128253, 1319, 644, 489, 125017, 128422, 128336, 128423, 128432, 11, 130889, 131072, 922, 276, 128550, 86139, 64061, 128377, 84, 521, 2185, 59735, 128750, 128301, 11, 73525, 128270, 136732, 128333, 129398, 39486, 129659, 59735, 856, 2185, 130767, 59735, 138120, 30923, 6412, 129785, 131868, 92155, 13, 130390, 131943, 128268, 98127, 15122, 128253, 129572, 128751, 128360, 132611, 128904, 69086, 78228, 128623, 128285, 59735, 138120, 128260, 62029, 128400, 129023, 129677, 128311, 128466, 11, 128379, 129608, 11, 128513, 129963, 26, 39486, 129659, 59735, 138120, 11, 128410, 69086, 653, 27924, 128386, 128320, 129572, 128751, 26, 128380, 128375, 128623, 128285, 11, 128811, 85536, 11, 128675, 128482, 97832, 128623, 128651, 128726, 92105, 13, 130390, 131943, 308, 124634, 129398, 11, 69086, 128253, 128290, 73525, 11, 129591, 130388, 79126, 28776, 128271, 128311, 95082, 128430, 137205, 11, 129481, 128886, 1091, 71, 130502, 132883, 11, 129144, 132345, 128281, 37915, 128311, 95082, 2600, 128292, 97832, 11, 97832, 97483, 138816, 69086, 125440, 128301, 348, 352, 61758, 142876, 129427, 128329, 79668, 128292, 128553, 11, 129551, 128417, 2600, 128728, 128292, 97832, 11, 97832, 97483, 138816, 63478, 128263, 128331, 13, 41016, 94994, 92430, 128603, 128249, 65526, 135437, 128311, 128265, 64061, 128377, 84, 595, 20868, 128384, 6558, 3202, 128410, 128290, 73525, 47742, 128253, 128486, 128513, 59735, 129591, 130388, 131763, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 19953, 125913, 128751, 326, 125252, 128362, 11, 141839, 132630, 128529, 129528, 128949, 2162, 78, 47742, 129551, 128417, 458, 97832, 128847, 128410, 11, 130390, 131943, 128456, 130097, 1163, 2185, 220, 85375, 138120, 30923, 6412, 129785, 131868, 92155, 133751, 2406, 124382, 69086, 128401, 128457, 128573, 79668, 129675, 97483, 1091, 71, 132883, 28776, 128431, 128482, 129398, 135111, 128265, 129414, 128367, 521, 2185, 47742, 136822, 128250, 78228, 129784, 128361, 62029, 128400, 131763, 128362, 305, 4076, 128811, 128599, 128340, 128401, 134355, 11, 128401, 128394, 132629, 73525, 128728, 128639, 130909, 270, 53061, 128482, 11, 128336, 128283, 131457, 128994, 78228, 129203, 128575, 128456, 15122, 13, 138120, 128403, 11, 128553, 128319, 1091, 71, 132883, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 47742, 128417, 129067, 126778, 128664, 130390, 131943, 128456, 130097, 11, 128608, 129623, 128289, 128788, 128589, 922, 276, 128396, 128447, 131912, 128425, 132197, 11, 128486, 128784, 128289, 128266, 2600, 128314, 128457, 128634, 11, 22730, 134082, 129101, 1163, 2185, 220, 85375, 138120, 128424, 128884, 128266, 128418, 62029, 128400, 129023, 129677, 128311, 128466, 128379, 129608, 11, 128854, 138063, 11, 326, 87939, 128480, 2600, 1091, 71, 130502, 132883, 279, 78, 129045, 128573, 128418, 128501, 59735, 128394, 133952, 13, 130244, 37915, 129414, 128367, 128727, 128376, 293, 53061, 11, 128727, 129986, 129121, 59735, 125440, 128457, 128573, 128311, 128466, 11, 69086, 128270, 78228, 128322, 922, 276, 129045, 92430, 59735, 138120, 47742, 59735, 129935, 130578, 141741, 663, 27924, 132883, 320, 33, 77689, 141630, 2350, 644, 11, 133602, 663, 27924, 21890, 27021, 8, 28776, 39486, 129659, 922, 276, 128550, 13, 135433, 128289, 131619, 775, 1319, 644, 489, 125017, 128292, 128553, 2600, 1091, 71, 130502, 132883, 11, 130390, 131943, 129480, 128431, 11, 128358, 37915, 131368, 129414, 59735, 128401, 128847, 128410, 11, 5492, 138120, 1091, 71, 132883, 128360, 294, 84455, 128350, 128431, 128997, 131619, 98127, 128292, 128553, 11, 348, 18934, 67657, 128350, 79668, 128980, 128672, 11, 128980, 128386, 69086, 1091, 71, 130502, 132883, 11, 131969, 128930, 128301, 128301, 9450, 274, 124415, 39486, 128250, 78228, 132300, 128664, 128290, 133539, 128260, 425, 29341, 129785, 74542, 220, 124603, 13, 130717, 128431, 128943, 128855, 141127, 128784, 128542, 131443, 131628, 128319, 128623, 128285, 129181, 129591, 130388, 47742, 138120, 663, 27924, 132883, 138465, 85636, 129785, 131868, 92155, 11, 130390, 131943, 79126, 2600, 128431, 128935, 98127, 128854, 128265, 128289, 128529, 132300, 128531, 23165, 2143, 142303, 128595, 472, 71431, 128886, 1091, 71, 132883, 128292, 132197, 47742, 128425, 128289, 128266, 94995, 72, 130393, 220, 17, 15, 15, 23, 220, 220, 17, 15, 16, 20, 26, 129551, 128417, 129263, 128368, 128943, 128855, 78228, 1163, 2185, 128396, 128846, 128386, 11, 132856, 132197, 47742, 128449, 132786, 128289, 128266, 1091, 71, 132883, 26, 128943, 128855, 489, 2185, 128396, 131912, 128425, 11, 32965, 124644, 133247, 129531, 128365, 2600, 1091, 71, 130502, 132883, 26, 129311, 128279, 128418, 2600, 128289, 270, 309, 94995, 18780, 1091, 71, 132883, 128314, 128449, 47742, 132551, 132686, 220, 23, 15, 128290, 64061, 128980, 138120, 30923, 6412, 129785, 131868, 92155, 133602, 129410, 128250, 130390, 131943, 11, 134082, 138532, 128720, 128281, 1163, 2185, 220, 85375, 138120, 647, 11151, 129126, 663, 124886, 2600, 128345, 11, 128327, 342, 1103, 73525, 11, 62029, 128400, 129023, 129677, 128311, 128466, 128379, 129608, 69086, 1091, 71, 130502, 132883, 128424, 128884, 63478, 128531, 23165, 2143, 128336, 128283, 136822, 128250, 128289, 128726, 92105, 128811, 85536, 11, 128675, 128482, 129023, 129677, 59735, 138120, 13, 128534, 128400, 128943, 128855, 126341, 128502, 138120, 135584, 128818, 11, 129367, 129922, 128387, 130121, 129675, 128403, 128553, 128319, 1091, 71, 132883, 28776, 128271, 128830, 128871, 128761, 129541, 11, 128329, 128327, 922, 276, 128396, 293, 125058, 129852, 11, 130314, 2162, 78, 128380, 128375, 129675, 97483, 130483, 89218, 128449, 132786, 2600, 134355, 856, 336, 130985, 11, 128403, 308, 127432, 2350, 644, 489, 125017, 1599, 2185, 130767, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 47742, 128417, 129067, 126778, 128664, 47742, 220, 19, 128329, 128373, 128250, 1091, 71, 132883, 128980, 128672, 11, 128980, 128386, 79126, 128362, 305, 4076, 39486, 129659, 856, 2185, 130767, 11, 128419, 138030, 59735, 128790, 128634, 270, 309, 94995, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 11, 272, 128042, 129234, 128664, 128441, 11, 458, 19550, 71, 11, 129566, 342, 126368, 489, 52885, 128377, 458, 128401, 128847, 128410, 13, 135433, 128289, 128336, 128283, 78228, 129784, 128361, 11, 126258, 128595, 279, 78, 128403, 129748, 59735, 130390, 131943, 129591, 130388, 11, 128329, 128997, 647, 11151, 129126, 663, 124886, 128268, 2600, 128345, 11, 138120, 79126, 128761, 129541, 128531, 23165, 2143, 142303, 128595, 129481, 128886, 1091, 71, 132883, 128292, 132197, 47742, 128425, 128289, 128266, 11, 131628, 128319, 128250, 129029, 128685, 128367, 270, 309, 296, 125672, 129591, 130388, 8943, 128373, 141127, 128333, 128265, 126341, 128502, 47742, 128311, 95082, 128421, 128250, 1091, 71, 132883, 856, 2185, 1319, 644, 11, 128943, 128855, 126258, 132972, 129009, 136312, 128362, 128531, 1091, 71, 132883, 128324, 29974, 128263, 128290, 220, 17, 15, 17, 15, 128324, 130215, 220, 126884, 16719, 25, 129898, 130726, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35, 84455, 128350, 128431, 128997, 128292, 128553, 11, 348, 18934, 67657, 128350, 69086, 128314, 128457, 128634, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 138310, 128362, 305, 4076, 128818, 137125, 128304, 128870, 39486, 129659, 856, 2185, 130767, 59735, 129675, 97483, 1091, 71, 132883, 11, 294, 84455, 128350, 128431, 128997, 128292, 128553, 348, 18934, 67657, 128350, 47742, 128480, 279, 78, 129045, 128573, 128418, 128501, 59735, 128394, 133952, 69086, 128314, 128457, 128634, 11, 130390, 131943, 128984, 350, 124644, 142840, 137429, 128818, 624, 56635, 124477, 220, 17, 14, 21, 11, 128272, 1163, 50483, 128760, 129591, 130388, 11, 130390, 131943, 128984, 350, 124644, 142840, 47742, 131400, 128854, 128249, 65526, 129029, 11, 129857, 79126, 128266, 128289, 128250, 22730, 134082, 129101, 1163, 2185, 220, 85375, 138120, 30923, 6412, 129785, 131868, 92155, 13, 647, 2143, 129659, 856, 2185, 130767, 59735, 138120, 30923, 6412, 129785, 131868, 92155, 130390, 131943, 128984, 350, 124644, 142840, 128826, 128309, 11, 69086, 128334, 129065, 128750, 128301, 129233, 128271, 128639, 130909, 11, 128599, 128375, 1091, 71, 132883, 79126, 128424, 128884, 128362, 305, 4076, 129045, 128573, 11, 128365, 128285, 128688, 128425, 11, 128425, 15122, 128253, 1319, 644, 489, 125017, 128422, 128336, 128423, 128432, 11, 130889, 131072, 922, 276, 128550, 86139, 64061, 128377, 84, 521, 2185, 59735, 128750, 128301, 11, 73525, 128270, 136732, 128333, 129398, 39486, 129659, 59735, 856, 2185, 130767, 59735, 138120, 30923, 6412, 129785, 131868, 92155, 13, 130390, 131943, 128268, 98127, 15122, 128253, 129572, 128751, 128360, 132611, 128904, 69086, 78228, 128623, 128285, 59735, 138120, 128260, 62029, 128400, 129023, 129677, 128311, 128466, 11, 128379, 129608, 11, 128513, 129963, 26, 39486, 129659, 59735, 138120, 11, 128410, 69086, 653, 27924, 128386, 128320, 129572, 128751, 26, 128380, 128375, 128623, 128285, 11, 128811, 85536, 11, 128675, 128482, 97832, 128623, 128651, 128726, 92105, 13, 130390, 131943, 308, 124634, 129398, 11, 69086, 128253, 128290, 73525, 11, 129591, 130388, 79126, 28776, 128271, 128311, 95082, 128430, 137205, 11, 129481, 128886, 1091, 71, 130502, 132883, 11, 129144, 132345, 128281, 37915, 128311, 95082, 2600, 128292, 97832, 11, 97832, 97483, 138816, 69086, 125440, 128301, 348, 352, 61758, 142876, 129427, 128329, 79668, 128292, 128553, 11, 129551, 128417, 2600, 128728, 128292, 97832, 11, 97832, 97483, 138816, 63478, 128263, 128331, 13, 41016, 94994, 92430, 128603, 128249, 65526, 135437, 128311, 128265, 64061, 128377, 84, 595, 20868, 128384, 6558, 3202, 128410, 128290, 73525, 47742, 128253, 128486, 128513, 59735, 129591, 130388, 131763, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 19953, 125913, 128751, 326, 125252, 128362, 11, 141839, 132630, 128529, 129528, 128949, 2162, 78, 47742, 129551, 128417, 458, 97832, 128847, 128410, 11, 130390, 131943, 128456, 130097, 1163, 2185, 220, 85375, 138120, 30923, 6412, 129785, 131868, 92155, 133751, 2406, 124382, 69086, 128401, 128457, 128573, 79668, 129675, 97483, 1091, 71, 132883, 28776, 128431, 128482, 129398, 135111, 128265, 129414, 128367, 521, 2185, 47742, 136822, 128250, 78228, 129784, 128361, 62029, 128400, 131763, 128362, 305, 4076, 128811, 128599, 128340, 128401, 134355, 11, 128401, 128394, 132629, 73525, 128728, 128639, 130909, 270, 53061, 128482, 11, 128336, 128283, 131457, 128994, 78228, 129203, 128575, 128456, 15122, 13, 138120, 128403, 11, 128553, 128319, 1091, 71, 132883, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 47742, 128417, 129067, 126778, 128664, 130390, 131943, 128456, 130097, 11, 128608, 129623, 128289, 128788, 128589, 922, 276, 128396, 128447, 131912, 128425, 132197, 11, 128486, 128784, 128289, 128266, 2600, 128314, 128457, 128634, 11, 22730, 134082, 129101, 1163, 2185, 220, 85375, 138120, 128424, 128884, 128266, 128418, 62029, 128400, 129023, 129677, 128311, 128466, 128379, 129608, 11, 128854, 138063, 11, 326, 87939, 128480, 2600, 1091, 71, 130502, 132883, 279, 78, 129045, 128573, 128418, 128501, 59735, 128394, 133952, 13, 130244, 37915, 129414, 128367, 128727, 128376, 293, 53061, 11, 128727, 129986, 129121, 59735, 125440, 128457, 128573, 128311, 128466, 11, 69086, 128270, 78228, 128322, 922, 276, 129045, 92430, 59735, 138120, 47742, 59735, 129935, 130578, 141741, 663, 27924, 132883, 320, 33, 77689, 141630, 2350, 644, 11, 133602, 663, 27924, 21890, 27021, 8, 28776, 39486, 129659, 922, 276, 128550, 13, 135433, 128289, 131619, 775, 1319, 644, 489, 125017, 128292, 128553, 2600, 1091, 71, 130502, 132883, 11, 130390, 131943, 129480, 128431, 11, 128358, 37915, 131368, 129414, 59735, 128401, 128847, 128410, 11, 5492, 138120, 1091, 71, 132883, 128360, 294, 84455, 128350, 128431, 128997, 131619, 98127, 128292, 128553, 11, 348, 18934, 67657, 128350, 79668, 128980, 128672, 11, 128980, 128386, 69086, 1091, 71, 130502, 132883, 11, 131969, 128930, 128301, 128301, 9450, 274, 124415, 39486, 128250, 78228, 132300, 128664, 128290, 133539, 128260, 425, 29341, 129785, 74542, 220, 124603, 13, 130717, 128431, 128943, 128855, 141127, 128784, 128542, 131443, 131628, 128319, 128623, 128285, 129181, 129591, 130388, 47742, 138120, 663, 27924, 132883, 138465, 85636, 129785, 131868, 92155, 11, 130390, 131943, 79126, 2600, 128431, 128935, 98127, 128854, 128265, 128289, 128529, 132300, 128531, 23165, 2143, 142303, 128595, 472, 71431, 128886, 1091, 71, 132883, 128292, 132197, 47742, 128425, 128289, 128266, 94995, 72, 130393, 220, 17, 15, 15, 23, 220, 220, 17, 15, 16, 20, 26, 129551, 128417, 129263, 128368, 128943, 128855, 78228, 1163, 2185, 128396, 128846, 128386, 11, 132856, 132197, 47742, 128449, 132786, 128289, 128266, 1091, 71, 132883, 26, 128943, 128855, 489, 2185, 128396, 131912, 128425, 11, 32965, 124644, 133247, 129531, 128365, 2600, 1091, 71, 130502, 132883, 26, 129311, 128279, 128418, 2600, 128289, 270, 309, 94995, 18780, 1091, 71, 132883, 128314, 128449, 47742, 132551, 132686, 220, 23, 15, 128290, 64061, 128980, 138120, 30923, 6412, 129785, 131868, 92155, 133602, 129410, 128250, 130390, 131943, 11, 134082, 138532, 128720, 128281, 1163, 2185, 220, 85375, 138120, 647, 11151, 129126, 663, 124886, 2600, 128345, 11, 128327, 342, 1103, 73525, 11, 62029, 128400, 129023, 129677, 128311, 128466, 128379, 129608, 69086, 1091, 71, 130502, 132883, 128424, 128884, 63478, 128531, 23165, 2143, 128336, 128283, 136822, 128250, 128289, 128726, 92105, 128811, 85536, 11, 128675, 128482, 129023, 129677, 59735, 138120, 13, 128534, 128400, 128943, 128855, 126341, 128502, 138120, 135584, 128818, 11, 129367, 129922, 128387, 130121, 129675, 128403, 128553, 128319, 1091, 71, 132883, 28776, 128271, 128830, 128871, 128761, 129541, 11, 128329, 128327, 922, 276, 128396, 293, 125058, 129852, 11, 130314, 2162, 78, 128380, 128375, 129675, 97483, 130483, 89218, 128449, 132786, 2600, 134355, 856, 336, 130985, 11, 128403, 308, 127432, 2350, 644, 489, 125017, 1599, 2185, 130767, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 47742, 128417, 129067, 126778, 128664, 47742, 220, 19, 128329, 128373, 128250, 1091, 71, 132883, 128980, 128672, 11, 128980, 128386, 79126, 128362, 305, 4076, 39486, 129659, 856, 2185, 130767, 11, 128419, 138030, 59735, 128790, 128634, 270, 309, 94995, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 11, 272, 128042, 129234, 128664, 128441, 11, 458, 19550, 71, 11, 129566, 342, 126368, 489, 52885, 128377, 458, 128401, 128847, 128410, 13, 135433, 128289, 128336, 128283, 78228, 129784, 128361, 11, 126258, 128595, 279, 78, 128403, 129748, 59735, 130390, 131943, 129591, 130388, 11, 128329, 128997, 647, 11151, 129126, 663, 124886, 128268, 2600, 128345, 11, 138120, 79126, 128761, 129541, 128531, 23165, 2143, 142303, 128595, 129481, 128886, 1091, 71, 132883, 128292, 132197, 47742, 128425, 128289, 128266, 11, 131628, 128319, 128250, 129029, 128685, 128367, 270, 309, 296, 125672, 129591, 130388, 8943, 128373, 141127, 128333, 128265, 126341, 128502, 47742, 128311, 95082, 128421, 128250, 1091, 71, 132883, 856, 2185, 1319, 644, 11, 128943, 128855, 126258, 132972, 129009, 136312, 128362, 128531, 1091, 71, 132883, 128324, 29974, 128263, 128290, 220, 17, 15, 17, 15, 128324, 130215, 220, 126884, 16719, 25, 129898, 130726, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177 ]
1,178
[ 46841, 77689, 97483, 128830, 128266, 137384, 97483, 128479, 128292, 28776, 128282, 128553, 128277, 5267, 1143, 35928, 128984, 130934, 35892, 1163, 524, 320, 4239, 129785, 131868, 92155, 8, 129087, 25, 129718, 63478, 134143, 86139, 7777, 125202, 129023, 97483, 4434, 6412, 128311, 13, 41016, 128270, 11, 128296, 28776, 128784, 128333, 131021, 128289, 47742, 63478, 131535, 128284, 86139, 128266, 137384, 97483, 128249, 128331, 128479, 128292, 62029, 128980, 13, 129718, 28776, 128282, 132465, 73525, 220, 16, 17, 128526, 128553, 128277, 53037, 5267, 140000, 63478, 134143, 86139, 97483, 128502, 128433, 362, 15, 11, 7777, 125202, 129023, 97483, 4434, 6412, 58865, 65526, 220, 16, 20, 64, 13, 17, 15, 17, 11, 129589, 135803, 94576, 128526, 220, 24, 14, 17, 15, 15, 21, 11, 128457, 65526, 220, 17, 11, 16, 15, 13, 41016, 128270, 11, 128296, 63478, 128830, 28240, 97483, 128502, 128433, 362, 16, 11, 7777, 125202, 129023, 97483, 4434, 6412, 128311, 11, 129589, 135803, 128457, 65526, 220, 17, 11, 21, 22, 94576, 128526, 220, 16, 14, 17, 15, 16, 16, 624, 40225, 70248, 128526, 220, 24, 14, 17, 15, 16, 21, 11, 128296, 129589, 128457, 65526, 135803, 220, 18, 11, 18, 18, 11, 128877, 128376, 270, 86728, 132883, 128275, 129023, 220, 16, 15, 14360, 132493, 220, 16, 15, 14, 17, 15, 16, 21, 11, 128296, 28776, 128784, 128333, 131021, 128289, 47742, 63478, 131535, 128284, 86139, 128266, 137384, 97483, 128272, 128249, 128331, 128479, 128292, 62029, 128980, 624, 55, 258, 129087, 11, 128296, 28776, 128282, 132465, 73525, 220, 16, 17, 128526, 128553, 128277, 47742, 129589, 135803, 128457, 65526, 220, 17, 11, 18, 19, 320, 76, 94963, 220, 23, 20, 11334, 53037, 30, 129718, 28776, 63478, 128424, 128884, 129589, 128877, 128376, 270, 86728, 132883, 128275, 129023, 53037, 11, 128725, 28776, 128291, 28776, 63478, 129589, 220, 16, 15, 4, 128260, 128371, 17669, 128279, 137329, 128327, 342, 1103, 128553, 128277, 5267, 33, 37678, 133218, 129677, 47742, 50327, 125017, 128425, 129477, 128814, 128580, 128456, 96535, 128260, 32154, 510, 785, 78, 730, 6161, 40707, 220, 18, 11, 130406, 220, 18, 130303, 128379, 65526, 220, 15, 20, 14, 17, 15, 16, 21, 14, 14903, 7671, 40849, 136256, 126370, 128333, 128327, 342, 1103, 128553, 128277, 279, 78, 128575, 129311, 128502, 98896, 132197, 128386, 129023, 97483, 11, 137384, 97483, 128291, 25, 330, 20897, 85532, 489, 125446, 131535, 128266, 129023, 97483, 11, 137384, 97483, 79126, 128336, 128283, 128289, 137384, 132856, 69086, 78228, 128322, 128760, 129023, 129677, 129831, 128319, 128250, 128444, 128597, 128289, 128266, 63478, 131535, 128284, 94576, 129078, 220, 16, 17, 128526, 128570, 128350, 53037, 128282, 128336, 128283, 128327, 342, 1103, 128553, 128277, 22956, 53, 39938, 128751, 128368, 128877, 128376, 270, 86728, 132883, 11, 141915, 264, 11, 730, 6161, 40707, 220, 16, 11, 130406, 220, 17, 130303, 128379, 128542, 131443, 65526, 220, 21, 23, 14, 17, 15, 16, 16, 16731, 13470, 51, 7671, 40849, 136256, 7671, 36326, 7671, 7749, 7671, 43, 40225, 31160, 55, 39, 128846, 128653, 128336, 128283, 128249, 65526, 128334, 59735, 141127, 128333, 65526, 220, 20, 19, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128300, 220, 19, 14, 22, 14, 17, 15, 16, 16, 59735, 129591, 130388, 128265, 128751, 128368, 128877, 128376, 270, 86728, 132883, 128421, 128250, 128275, 129023, 128291, 128327, 342, 1103, 128439, 129589, 128877, 128376, 270, 86728, 132883, 63478, 129207, 128333, 128411, 129822, 78228, 128327, 342, 1103, 32154, 25, 330, 1001, 124315, 342, 1103, 137384, 132856, 11, 129023, 129677, 28776, 130889, 425, 60845, 39, 128802, 135571, 69086, 78228, 128322, 128760, 129023, 129677, 62029, 128980, 22956, 34, 125432, 128272, 141915, 264, 11, 730, 6161, 40707, 220, 18, 11, 130406, 220, 17, 141127, 128333, 65526, 220, 20, 19, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 11, 128327, 342, 1103, 53037, 128439, 129589, 128877, 128376, 270, 86728, 132883, 130068, 128327, 342, 1103, 128553, 128277, 11, 131885, 128289, 128475, 128327, 342, 1103, 128319, 128329, 128266, 128289, 128568, 128278, 624, 331, 20868, 759, 84, 75157, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46841, 77689, 97483, 128830, 128266, 137384, 97483, 128479, 128292, 28776, 128282, 128553, 128277, 5267, 1143, 35928, 128984, 130934, 35892, 1163, 524, 320, 4239, 129785, 131868, 92155, 8, 129087, 25, 129718, 63478, 134143, 86139, 7777, 125202, 129023, 97483, 4434, 6412, 128311, 13, 41016, 128270, 11, 128296, 28776, 128784, 128333, 131021, 128289, 47742, 63478, 131535, 128284, 86139, 128266, 137384, 97483, 128249, 128331, 128479, 128292, 62029, 128980, 13, 129718, 28776, 128282, 132465, 73525, 220, 16, 17, 128526, 128553, 128277, 53037, 5267, 140000, 63478, 134143, 86139, 97483, 128502, 128433, 362, 15, 11, 7777, 125202, 129023, 97483, 4434, 6412, 58865, 65526, 220, 16, 20, 64, 13, 17, 15, 17, 11, 129589, 135803, 94576, 128526, 220, 24, 14, 17, 15, 15, 21, 11, 128457, 65526, 220, 17, 11, 16, 15, 13, 41016, 128270, 11, 128296, 63478, 128830, 28240, 97483, 128502, 128433, 362, 16, 11, 7777, 125202, 129023, 97483, 4434, 6412, 128311, 11, 129589, 135803, 128457, 65526, 220, 17, 11, 21, 22, 94576, 128526, 220, 16, 14, 17, 15, 16, 16, 624, 40225, 70248, 128526, 220, 24, 14, 17, 15, 16, 21, 11, 128296, 129589, 128457, 65526, 135803, 220, 18, 11, 18, 18, 11, 128877, 128376, 270, 86728, 132883, 128275, 129023, 220, 16, 15, 14360, 132493, 220, 16, 15, 14, 17, 15, 16, 21, 11, 128296, 28776, 128784, 128333, 131021, 128289, 47742, 63478, 131535, 128284, 86139, 128266, 137384, 97483, 128272, 128249, 128331, 128479, 128292, 62029, 128980, 624, 55, 258, 129087, 11, 128296, 28776, 128282, 132465, 73525, 220, 16, 17, 128526, 128553, 128277, 47742, 129589, 135803, 128457, 65526, 220, 17, 11, 18, 19, 320, 76, 94963, 220, 23, 20, 11334, 53037, 30, 129718, 28776, 63478, 128424, 128884, 129589, 128877, 128376, 270, 86728, 132883, 128275, 129023, 53037, 11, 128725, 28776, 128291, 28776, 63478, 129589, 220, 16, 15, 4, 128260, 128371, 17669, 128279, 137329, 128327, 342, 1103, 128553, 128277, 5267, 33, 37678, 133218, 129677, 47742, 50327, 125017, 128425, 129477, 128814, 128580, 128456, 96535, 128260, 32154, 510, 785, 78, 730, 6161, 40707, 220, 18, 11, 130406, 220, 18, 130303, 128379, 65526, 220, 15, 20, 14, 17, 15, 16, 21, 14, 14903, 7671, 40849, 136256, 126370, 128333, 128327, 342, 1103, 128553, 128277, 279, 78, 128575, 129311, 128502, 98896, 132197, 128386, 129023, 97483, 11, 137384, 97483, 128291, 25, 330, 20897, 85532, 489, 125446, 131535, 128266, 129023, 97483, 11, 137384, 97483, 79126, 128336, 128283, 128289, 137384, 132856, 69086, 78228, 128322, 128760, 129023, 129677, 129831, 128319, 128250, 128444, 128597, 128289, 128266, 63478, 131535, 128284, 94576, 129078, 220, 16, 17, 128526, 128570, 128350, 53037, 128282, 128336, 128283, 128327, 342, 1103, 128553, 128277, 22956, 53, 39938, 128751, 128368, 128877, 128376, 270, 86728, 132883, 11, 141915, 264, 11, 730, 6161, 40707, 220, 16, 11, 130406, 220, 17, 130303, 128379, 128542, 131443, 65526, 220, 21, 23, 14, 17, 15, 16, 16, 16731, 13470, 51, 7671, 40849, 136256, 7671, 36326, 7671, 7749, 7671, 43, 40225, 31160, 55, 39, 128846, 128653, 128336, 128283, 128249, 65526, 128334, 59735, 141127, 128333, 65526, 220, 20, 19, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 128300, 220, 19, 14, 22, 14, 17, 15, 16, 16, 59735, 129591, 130388, 128265, 128751, 128368, 128877, 128376, 270, 86728, 132883, 128421, 128250, 128275, 129023, 128291, 128327, 342, 1103, 128439, 129589, 128877, 128376, 270, 86728, 132883, 63478, 129207, 128333, 128411, 129822, 78228, 128327, 342, 1103, 32154, 25, 330, 1001, 124315, 342, 1103, 137384, 132856, 11, 129023, 129677, 28776, 130889, 425, 60845, 39, 128802, 135571, 69086, 78228, 128322, 128760, 129023, 129677, 62029, 128980, 22956, 34, 125432, 128272, 141915, 264, 11, 730, 6161, 40707, 220, 18, 11, 130406, 220, 17, 141127, 128333, 65526, 220, 20, 19, 14, 17, 15, 16, 16, 20290, 40225, 12, 7123, 11, 128327, 342, 1103, 53037, 128439, 129589, 128877, 128376, 270, 86728, 132883, 130068, 128327, 342, 1103, 128553, 128277, 11, 131885, 128289, 128475, 128327, 342, 1103, 128319, 128329, 128266, 128289, 128568, 128278, 624, 331, 20868, 759, 84, 75157, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632 ]
633
[ 33, 37678, 129591, 128466, 8943, 128373, 141127, 128784, 128265, 128943, 128855, 11, 128362, 305, 4076, 39486, 129659, 129188, 135518, 653, 27924, 128310, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129029, 129591, 128466, 128727, 8943, 128373, 141127, 128784, 65526, 220, 15, 24, 11250, 48, 16731, 54, 128265, 128943, 128855, 47742, 128362, 305, 4076, 39486, 129659, 59735, 129188, 135518, 653, 27924, 128310, 128324, 29974, 69086, 128327, 128880, 132668, 128818, 62029, 128386, 128585, 11, 128283, 128479, 128585, 47742, 128410, 62572, 128664, 128384, 624, 1249, 88602, 128683, 141127, 128784, 65526, 220, 15, 24, 11250, 48, 16731, 54, 624, 45, 866, 35928, 128784, 308, 124634, 129398, 11, 69086, 128253, 128290, 73525, 11, 134355, 47742, 129645, 128301, 79126, 28776, 128271, 128427, 140996, 11, 128311, 95082, 135984, 23165, 125531, 128362, 128531, 653, 27924, 128386, 11, 128362, 305, 4076, 39486, 129659, 59735, 653, 27924, 128310, 69086, 128277, 128386, 128943, 128855, 47742, 128417, 129067, 128750, 128301, 13, 90453, 76294, 128270, 11, 128370, 128482, 128265, 39486, 129659, 59735, 129188, 135518, 653, 27924, 128310, 28776, 128830, 128871, 128761, 129541, 11, 128271, 128376, 137930, 140431, 11, 128311, 128918, 128454, 132278, 922, 276, 128396, 128263, 128277, 128362, 128531, 59735, 653, 27924, 128386, 11, 129188, 135518, 653, 27924, 128310, 11, 128846, 128623, 128285, 59735, 653, 27924, 128386, 11, 653, 27924, 128310, 86139, 129203, 128575, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 59735, 128704, 128675, 11, 128750, 128301, 624, 34, 88771, 128250, 128277, 128529, 308, 9917, 71, 128265, 65526, 128375, 47742, 126370, 130179, 59735, 78228, 653, 27924, 128386, 129281, 78228, 64061, 128463, 595, 20868, 128384, 11, 129188, 135518, 653, 27924, 128310, 128301, 9450, 79126, 53037, 139474, 128465, 128818, 11, 130889, 131072, 128761, 129541, 86139, 128289, 128336, 128283, 129009, 136312, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 11, 128486, 128784, 128289, 128266, 2600, 128251, 1187, 78, 128285, 47742, 78228, 128580, 128456, 458, 97832, 128847, 128410, 11, 856, 58875, 14854, 125444, 11, 128757, 138816, 624, 51, 4076, 128452, 11, 128371, 128498, 128451, 92105, 59735, 128277, 128386, 132668, 128818, 62029, 128386, 128585, 11, 128283, 128479, 128585, 47742, 128410, 62572, 128664, 128384, 11, 129188, 135518, 653, 27924, 128310, 128301, 9450, 128320, 53037, 129530, 129572, 128751, 11, 128633, 130569, 624, 1143, 71179, 126260, 128845, 129203, 128575, 128943, 128855, 129188, 135518, 653, 27924, 128310, 128465, 128818, 11, 28776, 259, 20868, 129719, 128394, 133952, 11, 130780, 142587, 128311, 128466, 11, 128683, 128585, 595, 20868, 653, 27924, 11, 28776, 131368, 129414, 128847, 128410, 2162, 78, 11, 28776, 129078, 128365, 128599, 11, 128361, 128368, 79668, 131400, 128854, 11, 129270, 128356, 78228, 653, 27924, 128386, 128623, 128285, 28776, 128380, 128375, 11, 128423, 128432, 11, 128738, 129623, 23686, 71, 2162, 78, 11, 128542, 128403, 137277, 521, 124760, 11, 270, 309, 94995, 128761, 129541, 86139, 129461, 85636, 128415, 11, 95799, 84453, 128309, 128466, 69086, 128301, 47742, 128401, 128451, 26, 53037, 139474, 128362, 128531, 11, 142094, 129507, 128263, 128290, 220, 17, 15, 17, 15, 28776, 128249, 65526, 653, 27924, 128310, 11, 653, 27924, 128386, 28776, 128560, 128423, 129664, 134059, 272, 125726, 127980, 128978, 130215, 481, 29974, 42812, 624, 79759, 125431, 128675, 128846, 11, 129414, 128367, 37915, 25, 451, 8835, 968, 2162, 78, 128370, 128482, 128265, 39486, 129659, 59735, 129188, 135518, 653, 27924, 128310, 69086, 128277, 128386, 62029, 128386, 128585, 11, 128283, 128479, 128585, 47742, 128410, 62572, 128664, 128384, 26, 128425, 129991, 128331, 85636, 128415, 11, 595, 20868, 653, 27924, 128823, 136338, 47742, 131678, 128994, 2600, 653, 27924, 128310, 26, 129481, 128886, 129188, 135518, 653, 27924, 128310, 129367, 129922, 126370, 130179, 11, 130314, 2162, 78, 128423, 128432, 128623, 128285, 59735, 653, 27924, 128386, 11, 135984, 23165, 125531, 128362, 128531, 653, 27924, 128310, 127980, 128978, 132234, 138757, 26, 922, 276, 128396, 11, 128425, 128830, 128871, 69086, 131912, 128425, 47742, 293, 125058, 129852, 653, 27924, 128310, 26, 128456, 2162, 78, 128854, 138063, 11, 128683, 128585, 595, 20868, 653, 27924, 11, 131368, 129414, 128847, 128410, 11, 259, 20868, 129719, 128394, 133952, 59735, 129188, 135518, 653, 27924, 128310, 11, 128943, 128855, 922, 276, 128457, 1187, 78, 128285, 133844, 130669, 26, 128362, 305, 4076, 39486, 129659, 59735, 78228, 126341, 128502, 128479, 129054, 59735, 130700, 128329, 653, 27924, 128386, 47742, 129188, 135518, 653, 27924, 128310, 26, 128529, 132300, 128277, 131400, 128854, 59735, 134355, 128421, 128250, 128289, 128943, 128855, 47742, 128362, 305, 4076, 39486, 129659, 129188, 135518, 653, 27924, 128310, 624, 45, 866, 35928, 128784, 308, 124634, 129398, 11, 128376, 137930, 11, 126341, 128502, 140431, 128269, 128981, 128376, 28776, 131368, 129414, 126341, 128502, 128292, 128553, 11, 133751, 2406, 124382, 141127, 128784, 128447, 132356, 128366, 11, 140431, 97483, 26, 128943, 128855, 129784, 128361, 11, 128495, 130361, 128531, 23165, 2143, 128336, 128283, 141127, 128784, 13, 134355, 129675, 128494, 128410, 131400, 128854, 128289, 130693, 129156, 132038, 128726, 11, 130623, 39339, 128643, 130509, 128513, 129963, 128265, 128362, 128531, 653, 27924, 128386, 11, 653, 27924, 128310, 624, 50241, 132356, 128277, 140431, 129591, 130388, 128943, 128855, 129784, 128361, 128373, 128285, 128336, 128283, 141127, 128784, 26, 129311, 128279, 128456, 128595, 131912, 128425, 128362, 128531, 129188, 135518, 653, 27924, 128310, 128324, 29974, 128263, 128290, 220, 17, 15, 17, 15, 26, 131400, 128854, 128289, 435, 6362, 134814, 11, 132038, 128726, 11, 130623, 39339, 11, 128943, 128855, 47742, 126341, 128502, 128336, 128283, 78228, 128683, 128450, 126370, 130375, 128513, 129963, 128542, 922, 276, 128263, 128943, 128855, 47742, 128362, 305, 4076, 39486, 129659, 59735, 129188, 135518, 653, 27924, 128310, 128263, 128290, 220, 17, 15, 17, 15, 624, 40225, 124428, 129675, 132850, 137048, 131537, 47742, 128534, 128386, 128324, 29974, 131628, 128319, 128250, 78228, 128366, 11, 129857, 128943, 128855, 47742, 126341, 128502, 128531, 23165, 2143, 78228, 129784, 128361, 129481, 128886, 653, 27924, 128310, 130314, 2162, 78, 128365, 128599, 129623, 23686, 71, 47742, 128410, 62572, 11, 595, 12032, 132720, 11, 134342, 348, 20868, 653, 27924, 128310, 11, 128362, 128531, 78228, 141741, 128410, 653, 27924, 128386, 47742, 128266, 128418, 62029, 128400, 128479, 129054, 128251, 128353, 128284, 1187, 78, 128285, 624, 50241, 422, 39392, 129984, 1163, 2185, 220, 85375, 131628, 128319, 128250, 78228, 8943, 59735, 134355, 47742, 134355, 129675, 132850, 137048, 131537, 47742, 128534, 128386, 128324, 29974, 128430, 129029, 129591, 128466, 11, 22730, 134082, 129101, 279, 78, 136753, 11, 14854, 61452, 133796, 11, 129522, 9586, 128289, 128336, 128283, 141127, 128784, 47742, 128333, 128880, 128603, 129410, 129029, 129591, 128466, 11, 22730, 134082, 129101, 624, 26067, 71, 472, 125455, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33, 37678, 129591, 128466, 8943, 128373, 141127, 128784, 128265, 128943, 128855, 11, 128362, 305, 4076, 39486, 129659, 129188, 135518, 653, 27924, 128310, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129029, 129591, 128466, 128727, 8943, 128373, 141127, 128784, 65526, 220, 15, 24, 11250, 48, 16731, 54, 128265, 128943, 128855, 47742, 128362, 305, 4076, 39486, 129659, 59735, 129188, 135518, 653, 27924, 128310, 128324, 29974, 69086, 128327, 128880, 132668, 128818, 62029, 128386, 128585, 11, 128283, 128479, 128585, 47742, 128410, 62572, 128664, 128384, 624, 1249, 88602, 128683, 141127, 128784, 65526, 220, 15, 24, 11250, 48, 16731, 54, 624, 45, 866, 35928, 128784, 308, 124634, 129398, 11, 69086, 128253, 128290, 73525, 11, 134355, 47742, 129645, 128301, 79126, 28776, 128271, 128427, 140996, 11, 128311, 95082, 135984, 23165, 125531, 128362, 128531, 653, 27924, 128386, 11, 128362, 305, 4076, 39486, 129659, 59735, 653, 27924, 128310, 69086, 128277, 128386, 128943, 128855, 47742, 128417, 129067, 128750, 128301, 13, 90453, 76294, 128270, 11, 128370, 128482, 128265, 39486, 129659, 59735, 129188, 135518, 653, 27924, 128310, 28776, 128830, 128871, 128761, 129541, 11, 128271, 128376, 137930, 140431, 11, 128311, 128918, 128454, 132278, 922, 276, 128396, 128263, 128277, 128362, 128531, 59735, 653, 27924, 128386, 11, 129188, 135518, 653, 27924, 128310, 11, 128846, 128623, 128285, 59735, 653, 27924, 128386, 11, 653, 27924, 128310, 86139, 129203, 128575, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 59735, 128704, 128675, 11, 128750, 128301, 624, 34, 88771, 128250, 128277, 128529, 308, 9917, 71, 128265, 65526, 128375, 47742, 126370, 130179, 59735, 78228, 653, 27924, 128386, 129281, 78228, 64061, 128463, 595, 20868, 128384, 11, 129188, 135518, 653, 27924, 128310, 128301, 9450, 79126, 53037, 139474, 128465, 128818, 11, 130889, 131072, 128761, 129541, 86139, 128289, 128336, 128283, 129009, 136312, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 11, 128486, 128784, 128289, 128266, 2600, 128251, 1187, 78, 128285, 47742, 78228, 128580, 128456, 458, 97832, 128847, 128410, 11, 856, 58875, 14854, 125444, 11, 128757, 138816, 624, 51, 4076, 128452, 11, 128371, 128498, 128451, 92105, 59735, 128277, 128386, 132668, 128818, 62029, 128386, 128585, 11, 128283, 128479, 128585, 47742, 128410, 62572, 128664, 128384, 11, 129188, 135518, 653, 27924, 128310, 128301, 9450, 128320, 53037, 129530, 129572, 128751, 11, 128633, 130569, 624, 1143, 71179, 126260, 128845, 129203, 128575, 128943, 128855, 129188, 135518, 653, 27924, 128310, 128465, 128818, 11, 28776, 259, 20868, 129719, 128394, 133952, 11, 130780, 142587, 128311, 128466, 11, 128683, 128585, 595, 20868, 653, 27924, 11, 28776, 131368, 129414, 128847, 128410, 2162, 78, 11, 28776, 129078, 128365, 128599, 11, 128361, 128368, 79668, 131400, 128854, 11, 129270, 128356, 78228, 653, 27924, 128386, 128623, 128285, 28776, 128380, 128375, 11, 128423, 128432, 11, 128738, 129623, 23686, 71, 2162, 78, 11, 128542, 128403, 137277, 521, 124760, 11, 270, 309, 94995, 128761, 129541, 86139, 129461, 85636, 128415, 11, 95799, 84453, 128309, 128466, 69086, 128301, 47742, 128401, 128451, 26, 53037, 139474, 128362, 128531, 11, 142094, 129507, 128263, 128290, 220, 17, 15, 17, 15, 28776, 128249, 65526, 653, 27924, 128310, 11, 653, 27924, 128386, 28776, 128560, 128423, 129664, 134059, 272, 125726, 127980, 128978, 130215, 481, 29974, 42812, 624, 79759, 125431, 128675, 128846, 11, 129414, 128367, 37915, 25, 451, 8835, 968, 2162, 78, 128370, 128482, 128265, 39486, 129659, 59735, 129188, 135518, 653, 27924, 128310, 69086, 128277, 128386, 62029, 128386, 128585, 11, 128283, 128479, 128585, 47742, 128410, 62572, 128664, 128384, 26, 128425, 129991, 128331, 85636, 128415, 11, 595, 20868, 653, 27924, 128823, 136338, 47742, 131678, 128994, 2600, 653, 27924, 128310, 26, 129481, 128886, 129188, 135518, 653, 27924, 128310, 129367, 129922, 126370, 130179, 11, 130314, 2162, 78, 128423, 128432, 128623, 128285, 59735, 653, 27924, 128386, 11, 135984, 23165, 125531, 128362, 128531, 653, 27924, 128310, 127980, 128978, 132234, 138757, 26, 922, 276, 128396, 11, 128425, 128830, 128871, 69086, 131912, 128425, 47742, 293, 125058, 129852, 653, 27924, 128310, 26, 128456, 2162, 78, 128854, 138063, 11, 128683, 128585, 595, 20868, 653, 27924, 11, 131368, 129414, 128847, 128410, 11, 259, 20868, 129719, 128394, 133952, 59735, 129188, 135518, 653, 27924, 128310, 11, 128943, 128855, 922, 276, 128457, 1187, 78, 128285, 133844, 130669, 26, 128362, 305, 4076, 39486, 129659, 59735, 78228, 126341, 128502, 128479, 129054, 59735, 130700, 128329, 653, 27924, 128386, 47742, 129188, 135518, 653, 27924, 128310, 26, 128529, 132300, 128277, 131400, 128854, 59735, 134355, 128421, 128250, 128289, 128943, 128855, 47742, 128362, 305, 4076, 39486, 129659, 129188, 135518, 653, 27924, 128310, 624, 45, 866, 35928, 128784, 308, 124634, 129398, 11, 128376, 137930, 11, 126341, 128502, 140431, 128269, 128981, 128376, 28776, 131368, 129414, 126341, 128502, 128292, 128553, 11, 133751, 2406, 124382, 141127, 128784, 128447, 132356, 128366, 11, 140431, 97483, 26, 128943, 128855, 129784, 128361, 11, 128495, 130361, 128531, 23165, 2143, 128336, 128283, 141127, 128784, 13, 134355, 129675, 128494, 128410, 131400, 128854, 128289, 130693, 129156, 132038, 128726, 11, 130623, 39339, 128643, 130509, 128513, 129963, 128265, 128362, 128531, 653, 27924, 128386, 11, 653, 27924, 128310, 624, 50241, 132356, 128277, 140431, 129591, 130388, 128943, 128855, 129784, 128361, 128373, 128285, 128336, 128283, 141127, 128784, 26, 129311, 128279, 128456, 128595, 131912, 128425, 128362, 128531, 129188, 135518, 653, 27924, 128310, 128324, 29974, 128263, 128290, 220, 17, 15, 17, 15, 26, 131400, 128854, 128289, 435, 6362, 134814, 11, 132038, 128726, 11, 130623, 39339, 11, 128943, 128855, 47742, 126341, 128502, 128336, 128283, 78228, 128683, 128450, 126370, 130375, 128513, 129963, 128542, 922, 276, 128263, 128943, 128855, 47742, 128362, 305, 4076, 39486, 129659, 59735, 129188, 135518, 653, 27924, 128310, 128263, 128290, 220, 17, 15, 17, 15, 624, 40225, 124428, 129675, 132850, 137048, 131537, 47742, 128534, 128386, 128324, 29974, 131628, 128319, 128250, 78228, 128366, 11, 129857, 128943, 128855, 47742, 126341, 128502, 128531, 23165, 2143, 78228, 129784, 128361, 129481, 128886, 653, 27924, 128310, 130314, 2162, 78, 128365, 128599, 129623, 23686, 71, 47742, 128410, 62572, 11, 595, 12032, 132720, 11, 134342, 348, 20868, 653, 27924, 128310, 11, 128362, 128531, 78228, 141741, 128410, 653, 27924, 128386, 47742, 128266, 128418, 62029, 128400, 128479, 129054, 128251, 128353, 128284, 1187, 78, 128285, 624, 50241, 422, 39392, 129984, 1163, 2185, 220, 85375, 131628, 128319, 128250, 78228, 8943, 59735, 134355, 47742, 134355, 129675, 132850, 137048, 131537, 47742, 128534, 128386, 128324, 29974, 128430, 129029, 129591, 128466, 11, 22730, 134082, 129101, 279, 78, 136753, 11, 14854, 61452, 133796, 11, 129522, 9586, 128289, 128336, 128283, 141127, 128784, 47742, 128333, 128880, 128603, 129410, 129029, 129591, 128466, 11, 22730, 134082, 129101, 624, 26067, 71, 472, 125455, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019 ]
1,020
[ 1143, 124527, 94995, 595, 20868, 128384, 128339, 128265, 142303, 128595, 129822, 128254, 135578, 128322, 133795, 595, 20868, 128384, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 451, 125444, 128265, 142303, 128595, 129822, 128254, 135578, 128322, 133795, 595, 20868, 128384, 128727, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 11, 128271, 128744, 94995, 595, 20868, 128384, 128370, 130985, 142303, 128595, 130925, 128740, 128253, 138585, 129087, 128376, 293, 53061, 47742, 129986, 129121, 59735, 128336, 8988, 125115, 128845, 15122, 11, 128329, 128327, 128553, 489, 2185, 86139, 128253, 308, 71431, 128599, 128322, 128450, 79668, 28776, 130203, 14854, 94313, 129108, 128362, 128531, 94995, 72, 130393, 220, 17, 15, 16, 18, 1365, 220, 17, 15, 17, 15, 624, 3357, 1794, 141004, 129528, 141004, 451, 75076, 27021, 129156, 140428, 128356, 595, 20868, 128384, 350, 131099, 647, 11151, 1163, 2426, 129932, 624, 40225, 39938, 128595, 131084, 18698, 16719, 128249, 128379, 129608, 128323, 128322, 128450, 128640, 128324, 29974, 128282, 270, 352, 128726, 128328, 128482, 128529, 129528, 11, 128362, 128531, 47742, 128265, 128450, 128380, 11, 128270, 128311, 37915, 128277, 131867, 126341, 128818, 137125, 11, 128425, 15122, 128249, 128457, 128573, 128285, 128599, 92105, 320, 74, 51580, 128319, 128322, 128751, 126260, 128331, 11, 6592, 128403, 128410, 62572, 47742, 128253, 128311, 95082, 23165, 61452, 126339, 276, 8, 47742, 128254, 128751, 128336, 61328, 92105, 79668, 78228, 129738, 128599, 128348, 28776, 47742, 128267, 28776, 63478, 129036, 130623, 128869, 128277, 128423, 128432, 624, 40225, 39938, 128595, 128553, 489, 2185, 86139, 128253, 308, 71431, 128599, 128322, 128450, 79668, 28776, 130203, 14854, 94313, 129108, 128362, 128531, 94995, 72, 130393, 220, 17, 15, 16, 18, 12, 17, 15, 17, 15, 13, 134845, 37915, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 135578, 128322, 133795, 220, 18, 132122, 128978, 128278, 128379, 320, 376, 125055, 128396, 37915, 128278, 128379, 62029, 701, 128556, 128311, 82963, 39392, 61758, 320, 376, 125055, 128396, 37915, 78228, 126341, 128502, 129913, 128284, 701, 653, 27924, 128386, 320, 376, 125055, 128396, 37915, 78228, 128553, 129675, 11, 129822, 62029, 13580, 128275, 128301, 8, 47742, 78228, 129857, 11, 28776, 128439, 128263, 595, 20868, 128384, 129838, 624, 2183, 1953, 128361, 135578, 133795, 134383, 131167, 595, 20868, 128384, 11, 128336, 128283, 142303, 128595, 53037, 128666, 130631, 11, 128362, 97832, 53037, 129530, 142244, 138628, 11, 138585, 129087, 128282, 129888, 128356, 78228, 128580, 128456, 595, 20868, 128384, 11, 128847, 128410, 136822, 128250, 131867, 128328, 128254, 128751, 11, 129509, 128400, 129181, 69086, 47742, 128703, 128301, 11, 922, 276, 128457, 128994, 130123, 47742, 25798, 128812, 128268, 128260, 128371, 128668, 47742, 129986, 129121, 624, 40225, 33450, 128336, 128283, 64061, 62029, 142303, 128595, 11, 128360, 129407, 128431, 220, 18, 128580, 128456, 296, 124554, 521, 125456, 510, 12, 133884, 128906, 37915, 128277, 128784, 128396, 47742, 128277, 128329, 131678, 128311, 128466, 11, 128847, 128410, 13, 130244, 37915, 128334, 128906, 128738, 128360, 128422, 5492, 128487, 128651, 129078, 13, 131031, 128360, 63478, 128830, 128585, 64061, 128254, 128751, 128336, 61328, 28776, 128423, 128599, 11, 128250, 129363, 128365, 128486, 128361, 47742, 128439, 1308, 71, 293, 125202, 2162, 78, 11, 63478, 133804, 129261, 137277, 521, 124760, 624, 12, 62682, 37915, 128289, 128424, 128884, 128643, 130509, 128253, 128811, 85536, 128322, 128450, 59735, 142303, 128595, 13, 129182, 128282, 128728, 128431, 129608, 11, 128498, 128451, 59735, 142303, 128595, 79126, 128643, 137658, 26, 128360, 128424, 128884, 28776, 128253, 296, 60257, 856, 124516, 270, 124554, 136335, 128304, 13, 139014, 128323, 128360, 23165, 125641, 140996, 128422, 128495, 129784, 128361, 128373, 128285, 129705, 128254, 128250, 128253, 128486, 128513, 128311, 95082, 11, 130203, 73586, 47742, 129240, 128368, 130483, 128924, 128336, 61328, 624, 12, 14322, 37915, 11, 128282, 128323, 128784, 137513, 128373, 128285, 79668, 7777, 352, 69086, 128290, 220, 17, 15, 16, 18, 12, 17, 15, 16, 19, 28776, 63478, 128253, 64061, 128432, 128869, 128277, 28776, 128431, 129598, 69086, 135578, 133795, 134383, 595, 20868, 128384, 11, 128421, 128250, 125440, 127980, 128978, 653, 27924, 128386, 128275, 128301, 11, 131538, 61758, 11, 47742, 128278, 128379, 62029, 624, 33039, 5492, 128250, 128336, 128283, 142303, 128595, 11, 128268, 128360, 28776, 134059, 128780, 129121, 129572, 128304, 11, 130685, 129572, 128263, 128290, 220, 17, 15, 18, 15, 13, 131346, 128449, 128348, 128871, 128726, 308, 9917, 71, 131827, 47742, 53037, 139474, 128688, 128425, 11, 131867, 128328, 13, 128324, 29974, 128323, 128360, 128249, 134059, 128780, 11, 128249, 62029, 128564, 131867, 126341, 47742, 129009, 136312, 136822, 129433, 129078, 128281, 128250, 129203, 134569, 128362, 128531, 135268, 135584, 13, 134845, 37915, 128277, 128362, 128531, 126258, 64, 128273, 128249, 131167, 595, 20868, 128384, 28776, 128738, 129623, 23686, 71, 2162, 78, 11, 28776, 129363, 128365, 129455, 137205, 47742, 128904, 130344, 128418, 128371, 78228, 132880, 65526, 66, 128465, 11, 62029, 128411, 69086, 129036, 131628, 128994, 130123, 94576, 128529, 129528, 11, 47742, 128672, 130509, 128250, 129991, 129528, 624, 35544, 51054, 129528, 141004, 730, 20868, 128384, 128324, 29974, 131479, 136929, 131460, 624, 40225, 39938, 128595, 28776, 129203, 128575, 129922, 128465, 11, 293, 3441, 922, 16685, 128271, 128387, 11, 128846, 128447, 128289, 270, 352, 128726, 128401, 128366, 130179, 128338, 128529, 129528, 595, 20868, 128384, 13, 130244, 37915, 128333, 128846, 129315, 13, 131031, 128254, 128283, 128784, 128396, 128425, 15122, 128277, 270, 352, 128726, 129209, 128450, 47742, 2406, 124382, 79668, 69086, 128328, 128482, 128362, 128531, 595, 20868, 128384, 126199, 128419, 128338, 132222, 128290, 73525, 128977, 132367, 11, 128725, 53037, 270, 352, 128726, 128260, 128490, 128291, 131167, 595, 20868, 128384, 128267, 136978, 86139, 139235, 11386, 124428, 624, 51, 4076, 128452, 11, 142303, 128595, 128360, 129207, 128333, 129398, 259, 41603, 64, 128368, 136337, 79668, 128553, 489, 2185, 128373, 128285, 13, 350, 41603, 64, 128368, 128270, 11, 279, 78, 128296, 37915, 128457, 128573, 129036, 130623, 129738, 128599, 69086, 131167, 595, 20868, 128384, 624, 13048, 51054, 308, 352, 11, 141673, 128599, 595, 20868, 128384, 59735, 9450, 79126, 128279, 913, 88, 129553, 128271, 11, 128365, 128599, 129270, 128466, 11, 128334, 128373, 128268, 53037, 128282, 37915, 294, 125058, 294, 125017, 13, 130629, 128314, 11, 129357, 128282, 128345, 128509, 129203, 128575, 130483, 128924, 11, 128550, 128406, 79668, 128784, 129009, 13, 142121, 128314, 11, 128553, 489, 2185, 86139, 259, 41603, 64, 128368, 128270, 128291, 128267, 28776, 489, 92704, 128403, 132364, 125440, 12789, 296, 124428, 135578, 128322, 133795, 129705, 128254, 128348, 63478, 130483, 128924, 128531, 23165, 2143, 13, 132743, 308, 352, 11, 12789, 296, 124428, 96535, 128348, 128949, 138559, 435, 124904, 11, 128639, 131628, 128319, 11, 126199, 128358, 128268, 37915, 128249, 7777, 4076, 128322, 624, 1001, 58812, 46051, 11, 9450, 79126, 129030, 129748, 128459, 129986, 128265, 128580, 128456, 96535, 128344, 134752, 128487, 128651, 28776, 128373, 128285, 128382, 128336, 128277, 129315, 134059, 79668, 130925, 128740, 141580, 128451, 128336, 8988, 125115, 131484, 129017, 968, 13, 451, 125444, 128260, 128490, 28776, 130734, 76, 128431, 128640, 128289, 129591, 130388, 134634, 141840, 142303, 128595, 37915, 128249, 130203, 129263, 922, 276, 128550, 128846, 128447, 128336, 8988, 125115, 13, 133817, 136814, 128626, 37915, 128282, 48669, 78, 24185, 51580, 128531, 23165, 2143, 11, 128727, 128531, 23165, 2143, 11, 128727, 132314, 132038, 11, 130623, 39339, 13, 129182, 128254, 126500, 129030, 134752, 11, 133459, 128643, 130509, 128558, 92105, 128266, 13, 138310, 128282, 135578, 128322, 133795, 7777, 352, 128328, 128373, 129888, 129009, 136312, 11, 128311, 95082, 92430, 128454, 129986, 308, 352, 348, 125202, 15122, 126199, 53037, 128266, 11, 139988, 58865, 77, 128250, 128289, 129030, 129748, 126199, 53037, 128373, 128285, 128250, 131368, 129414, 129398, 135111, 624, 1001, 58812, 12789, 11, 128360, 129480, 128431, 128263, 130540, 128361, 128531, 23165, 2143, 13, 133958, 79126, 128339, 11, 131167, 595, 20868, 128384, 128348, 128323, 129553, 11, 128365, 128599, 128366, 128392, 128336, 61328, 28776, 129572, 11, 126199, 131167, 595, 20868, 128384, 128291, 85852, 128348, 128282, 130925, 128740, 128271, 128498, 128451, 97832, 128804, 481, 128727, 129455, 326, 125252, 128362, 11, 135578, 128980, 133713, 128333, 11, 85852, 128282, 128417, 129551, 128529, 129528, 2162, 78, 128319, 128356, 69086, 293, 87939, 129111, 128282, 129888, 128356, 138178, 135429, 11, 61758, 137106, 72067, 11, 128558, 128568, 96535, 128282, 294, 124504, 128738, 2600, 135578, 128322, 133795, 128273, 129078, 128728, 128387, 130121, 9338, 785, 78, 128296, 11, 128360, 128845, 128994, 130123, 135578, 128322, 133795, 128350, 130483, 128924, 61758, 128278, 220, 130483, 128924, 129738, 128599, 128556, 128311, 11, 130483, 128924, 128365, 128599, 128597, 9765, 25232, 79668, 128531, 23165, 2143, 11, 129664, 63478, 128253, 128403, 128432, 128336, 8988, 125115, 129398, 135111, 13, 129024, 53037, 128267, 128323, 7777, 4076, 131491, 128378, 98170, 24790, 128847, 128410, 128348, 128279, 913, 88, 129553, 128283, 308, 352, 128267, 53037, 23165, 124312, 128904, 63478, 13, 138933, 128270, 11, 128633, 133713, 348, 124536, 130179, 128267, 128529, 11, 78228, 128322, 128760, 128529, 129528, 128268, 128279, 913, 88, 129553, 128622, 624, 42, 20868, 128990, 78228, 128290, 128914, 128358, 128360, 63478, 913, 88, 7777, 124503, 76, 134168, 89218, 66, 79668, 129470, 128284, 69086, 128290, 220, 17, 15, 16, 18, 11, 128290, 63478, 1062, 72, 37915, 128450, 326, 39938, 481, 279, 78, 129315, 129598, 128290, 28776, 128322, 1231, 97021, 352, 128830, 128419, 128314, 624, 9951, 13, 128984, 92155, 2350, 644, 624, 1282, 124603, 128906, 128360, 136732, 128333, 128640, 128265, 129822, 128254, 47742, 128322, 128450, 11, 128358, 37915, 128249, 142303, 128595, 63478, 773, 49886, 132972, 62029, 1319, 84, 11, 28776, 128322, 128760, 72067, 64, 128292, 47742, 128336, 8988, 125115, 2162, 78, 11, 130925, 128740, 63478, 128271, 138585, 129087, 128376, 293, 53061, 47742, 129986, 129121, 59735, 128336, 8988, 125115, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 128324, 29974, 69086, 293, 87939, 129111, 92105, 624, 40225, 33450, 128336, 128283, 64061, 62029, 142303, 128595, 11, 128360, 128788, 128589, 129407, 128431, 220, 17, 131270, 128580, 128456, 25, 451, 8835, 968, 2162, 78, 128380, 128375, 129270, 128356, 128275, 128301, 78228, 128376, 47742, 128553, 489, 2185, 128550, 128396, 128278, 128379, 62029, 26, 135984, 23165, 125531, 128277, 128365, 128285, 128745, 128740, 59735, 653, 27924, 128386, 624, 35544, 126201, 132668, 308, 9917, 71, 133061, 128368, 135578, 133795, 134383, 28776, 128254, 128421, 129054, 128250, 129470, 128599, 128265, 1187, 78, 128285, 279, 78, 125440, 220, 17, 128846, 25, 129005, 128387, 1154, 128277, 130502, 305, 50483, 83, 129738, 1187, 78, 128285, 128380, 128375, 2162, 78, 279, 78, 128498, 128451, 128322, 133795, 129531, 128859, 92105, 126199, 53037, 128254, 128425, 15122, 69086, 128300, 128249, 128300, 46051, 26, 140366, 128354, 1154, 128277, 136525, 135991, 129188, 135518, 1187, 78, 128285, 53037, 128320, 129831, 128319, 94576, 78228, 128322, 128760, 128531, 23165, 2143, 135578, 133795, 134383, 47742, 131778, 279, 78, 128253, 342, 124415, 132932, 128265, 130034, 128386, 47742, 458, 97832, 128847, 128410, 624, 39, 67657, 128870, 11, 129227, 138456, 128368, 128278, 128379, 11, 128725, 130502, 129522, 134814, 128291, 135578, 133795, 134383, 595, 20868, 128384, 125440, 128376, 348, 124536, 130179, 17669, 3275, 130179, 11, 126370, 130179, 128465, 17669, 128821, 128582, 28776, 128254, 128266, 128529, 435, 42504, 72, 926, 94994, 653, 27924, 128386, 94576, 129017, 85636, 79479, 11, 126260, 128331, 47742, 128760, 128331, 595, 20868, 653, 27924, 133138, 79668, 270, 309, 94995, 595, 20868, 653, 27924, 128273, 126260, 128331, 92105, 11, 128250, 128253, 129470, 128599, 92105, 53037, 128926, 132629, 73525, 128265, 128738, 129623, 23686, 71, 11, 595, 20868, 128990, 11, 128421, 128400, 47742, 129531, 128365, 131084, 128740, 126260, 128331, 26, 94576, 128270, 28776, 128254, 131778, 279, 78, 78228, 435, 42504, 72, 926, 128265, 138178, 308, 69611, 92105, 128475, 130502, 305, 50483, 83, 129738, 130498, 47742, 129470, 128599, 348, 352, 92105, 624, 40225, 124483, 128327, 11, 128725, 130502, 136408, 128550, 11, 128459, 128361, 135578, 133795, 134383, 595, 20868, 128384, 128320, 28776, 128254, 128425, 272, 43906, 128882, 131399, 968, 128812, 78228, 126258, 128595, 128278, 128379, 294, 78820, 57512, 279, 78, 130179, 128338, 128278, 128379, 133138, 11, 94995, 128529, 128277, 326, 125252, 128284, 11, 130034, 136122, 47742, 270, 309, 20303, 125432, 92105, 128253, 126258, 128595, 128278, 128379, 92105, 128310, 98896, 135578, 133795, 134383, 11, 128281, 37915, 127980, 128978, 128278, 128379, 62029, 624, 45, 3346, 52551, 15122, 11, 78228, 128623, 128285, 595, 20868, 653, 27924, 130990, 135578, 133795, 134383, 128268, 28776, 128254, 37915, 142770, 128653, 129045, 128253, 128400, 128310, 128633, 133713, 130906, 62572, 92105, 128475, 128266, 128362, 97832, 128253, 7777, 4076, 128322, 141673, 220, 125641, 92105, 128265, 129991, 128331, 128480, 128273, 128704, 129030, 128960, 15122, 78228, 128623, 128285, 96535, 624, 26067, 71, 663, 125992, 342, 6023, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1143, 124527, 94995, 595, 20868, 128384, 128339, 128265, 142303, 128595, 129822, 128254, 135578, 128322, 133795, 595, 20868, 128384, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 451, 125444, 128265, 142303, 128595, 129822, 128254, 135578, 128322, 133795, 595, 20868, 128384, 128727, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 11, 128271, 128744, 94995, 595, 20868, 128384, 128370, 130985, 142303, 128595, 130925, 128740, 128253, 138585, 129087, 128376, 293, 53061, 47742, 129986, 129121, 59735, 128336, 8988, 125115, 128845, 15122, 11, 128329, 128327, 128553, 489, 2185, 86139, 128253, 308, 71431, 128599, 128322, 128450, 79668, 28776, 130203, 14854, 94313, 129108, 128362, 128531, 94995, 72, 130393, 220, 17, 15, 16, 18, 1365, 220, 17, 15, 17, 15, 624, 3357, 1794, 141004, 129528, 141004, 451, 75076, 27021, 129156, 140428, 128356, 595, 20868, 128384, 350, 131099, 647, 11151, 1163, 2426, 129932, 624, 40225, 39938, 128595, 131084, 18698, 16719, 128249, 128379, 129608, 128323, 128322, 128450, 128640, 128324, 29974, 128282, 270, 352, 128726, 128328, 128482, 128529, 129528, 11, 128362, 128531, 47742, 128265, 128450, 128380, 11, 128270, 128311, 37915, 128277, 131867, 126341, 128818, 137125, 11, 128425, 15122, 128249, 128457, 128573, 128285, 128599, 92105, 320, 74, 51580, 128319, 128322, 128751, 126260, 128331, 11, 6592, 128403, 128410, 62572, 47742, 128253, 128311, 95082, 23165, 61452, 126339, 276, 8, 47742, 128254, 128751, 128336, 61328, 92105, 79668, 78228, 129738, 128599, 128348, 28776, 47742, 128267, 28776, 63478, 129036, 130623, 128869, 128277, 128423, 128432, 624, 40225, 39938, 128595, 128553, 489, 2185, 86139, 128253, 308, 71431, 128599, 128322, 128450, 79668, 28776, 130203, 14854, 94313, 129108, 128362, 128531, 94995, 72, 130393, 220, 17, 15, 16, 18, 12, 17, 15, 17, 15, 13, 134845, 37915, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 135578, 128322, 133795, 220, 18, 132122, 128978, 128278, 128379, 320, 376, 125055, 128396, 37915, 128278, 128379, 62029, 701, 128556, 128311, 82963, 39392, 61758, 320, 376, 125055, 128396, 37915, 78228, 126341, 128502, 129913, 128284, 701, 653, 27924, 128386, 320, 376, 125055, 128396, 37915, 78228, 128553, 129675, 11, 129822, 62029, 13580, 128275, 128301, 8, 47742, 78228, 129857, 11, 28776, 128439, 128263, 595, 20868, 128384, 129838, 624, 2183, 1953, 128361, 135578, 133795, 134383, 131167, 595, 20868, 128384, 11, 128336, 128283, 142303, 128595, 53037, 128666, 130631, 11, 128362, 97832, 53037, 129530, 142244, 138628, 11, 138585, 129087, 128282, 129888, 128356, 78228, 128580, 128456, 595, 20868, 128384, 11, 128847, 128410, 136822, 128250, 131867, 128328, 128254, 128751, 11, 129509, 128400, 129181, 69086, 47742, 128703, 128301, 11, 922, 276, 128457, 128994, 130123, 47742, 25798, 128812, 128268, 128260, 128371, 128668, 47742, 129986, 129121, 624, 40225, 33450, 128336, 128283, 64061, 62029, 142303, 128595, 11, 128360, 129407, 128431, 220, 18, 128580, 128456, 296, 124554, 521, 125456, 510, 12, 133884, 128906, 37915, 128277, 128784, 128396, 47742, 128277, 128329, 131678, 128311, 128466, 11, 128847, 128410, 13, 130244, 37915, 128334, 128906, 128738, 128360, 128422, 5492, 128487, 128651, 129078, 13, 131031, 128360, 63478, 128830, 128585, 64061, 128254, 128751, 128336, 61328, 28776, 128423, 128599, 11, 128250, 129363, 128365, 128486, 128361, 47742, 128439, 1308, 71, 293, 125202, 2162, 78, 11, 63478, 133804, 129261, 137277, 521, 124760, 624, 12, 62682, 37915, 128289, 128424, 128884, 128643, 130509, 128253, 128811, 85536, 128322, 128450, 59735, 142303, 128595, 13, 129182, 128282, 128728, 128431, 129608, 11, 128498, 128451, 59735, 142303, 128595, 79126, 128643, 137658, 26, 128360, 128424, 128884, 28776, 128253, 296, 60257, 856, 124516, 270, 124554, 136335, 128304, 13, 139014, 128323, 128360, 23165, 125641, 140996, 128422, 128495, 129784, 128361, 128373, 128285, 129705, 128254, 128250, 128253, 128486, 128513, 128311, 95082, 11, 130203, 73586, 47742, 129240, 128368, 130483, 128924, 128336, 61328, 624, 12, 14322, 37915, 11, 128282, 128323, 128784, 137513, 128373, 128285, 79668, 7777, 352, 69086, 128290, 220, 17, 15, 16, 18, 12, 17, 15, 16, 19, 28776, 63478, 128253, 64061, 128432, 128869, 128277, 28776, 128431, 129598, 69086, 135578, 133795, 134383, 595, 20868, 128384, 11, 128421, 128250, 125440, 127980, 128978, 653, 27924, 128386, 128275, 128301, 11, 131538, 61758, 11, 47742, 128278, 128379, 62029, 624, 33039, 5492, 128250, 128336, 128283, 142303, 128595, 11, 128268, 128360, 28776, 134059, 128780, 129121, 129572, 128304, 11, 130685, 129572, 128263, 128290, 220, 17, 15, 18, 15, 13, 131346, 128449, 128348, 128871, 128726, 308, 9917, 71, 131827, 47742, 53037, 139474, 128688, 128425, 11, 131867, 128328, 13, 128324, 29974, 128323, 128360, 128249, 134059, 128780, 11, 128249, 62029, 128564, 131867, 126341, 47742, 129009, 136312, 136822, 129433, 129078, 128281, 128250, 129203, 134569, 128362, 128531, 135268, 135584, 13, 134845, 37915, 128277, 128362, 128531, 126258, 64, 128273, 128249, 131167, 595, 20868, 128384, 28776, 128738, 129623, 23686, 71, 2162, 78, 11, 28776, 129363, 128365, 129455, 137205, 47742, 128904, 130344, 128418, 128371, 78228, 132880, 65526, 66, 128465, 11, 62029, 128411, 69086, 129036, 131628, 128994, 130123, 94576, 128529, 129528, 11, 47742, 128672, 130509, 128250, 129991, 129528, 624, 35544, 51054, 129528, 141004, 730, 20868, 128384, 128324, 29974, 131479, 136929, 131460, 624, 40225, 39938, 128595, 28776, 129203, 128575, 129922, 128465, 11, 293, 3441, 922, 16685, 128271, 128387, 11, 128846, 128447, 128289, 270, 352, 128726, 128401, 128366, 130179, 128338, 128529, 129528, 595, 20868, 128384, 13, 130244, 37915, 128333, 128846, 129315, 13, 131031, 128254, 128283, 128784, 128396, 128425, 15122, 128277, 270, 352, 128726, 129209, 128450, 47742, 2406, 124382, 79668, 69086, 128328, 128482, 128362, 128531, 595, 20868, 128384, 126199, 128419, 128338, 132222, 128290, 73525, 128977, 132367, 11, 128725, 53037, 270, 352, 128726, 128260, 128490, 128291, 131167, 595, 20868, 128384, 128267, 136978, 86139, 139235, 11386, 124428, 624, 51, 4076, 128452, 11, 142303, 128595, 128360, 129207, 128333, 129398, 259, 41603, 64, 128368, 136337, 79668, 128553, 489, 2185, 128373, 128285, 13, 350, 41603, 64, 128368, 128270, 11, 279, 78, 128296, 37915, 128457, 128573, 129036, 130623, 129738, 128599, 69086, 131167, 595, 20868, 128384, 624, 13048, 51054, 308, 352, 11, 141673, 128599, 595, 20868, 128384, 59735, 9450, 79126, 128279, 913, 88, 129553, 128271, 11, 128365, 128599, 129270, 128466, 11, 128334, 128373, 128268, 53037, 128282, 37915, 294, 125058, 294, 125017, 13, 130629, 128314, 11, 129357, 128282, 128345, 128509, 129203, 128575, 130483, 128924, 11, 128550, 128406, 79668, 128784, 129009, 13, 142121, 128314, 11, 128553, 489, 2185, 86139, 259, 41603, 64, 128368, 128270, 128291, 128267, 28776, 489, 92704, 128403, 132364, 125440, 12789, 296, 124428, 135578, 128322, 133795, 129705, 128254, 128348, 63478, 130483, 128924, 128531, 23165, 2143, 13, 132743, 308, 352, 11, 12789, 296, 124428, 96535, 128348, 128949, 138559, 435, 124904, 11, 128639, 131628, 128319, 11, 126199, 128358, 128268, 37915, 128249, 7777, 4076, 128322, 624, 1001, 58812, 46051, 11, 9450, 79126, 129030, 129748, 128459, 129986, 128265, 128580, 128456, 96535, 128344, 134752, 128487, 128651, 28776, 128373, 128285, 128382, 128336, 128277, 129315, 134059, 79668, 130925, 128740, 141580, 128451, 128336, 8988, 125115, 131484, 129017, 968, 13, 451, 125444, 128260, 128490, 28776, 130734, 76, 128431, 128640, 128289, 129591, 130388, 134634, 141840, 142303, 128595, 37915, 128249, 130203, 129263, 922, 276, 128550, 128846, 128447, 128336, 8988, 125115, 13, 133817, 136814, 128626, 37915, 128282, 48669, 78, 24185, 51580, 128531, 23165, 2143, 11, 128727, 128531, 23165, 2143, 11, 128727, 132314, 132038, 11, 130623, 39339, 13, 129182, 128254, 126500, 129030, 134752, 11, 133459, 128643, 130509, 128558, 92105, 128266, 13, 138310, 128282, 135578, 128322, 133795, 7777, 352, 128328, 128373, 129888, 129009, 136312, 11, 128311, 95082, 92430, 128454, 129986, 308, 352, 348, 125202, 15122, 126199, 53037, 128266, 11, 139988, 58865, 77, 128250, 128289, 129030, 129748, 126199, 53037, 128373, 128285, 128250, 131368, 129414, 129398, 135111, 624, 1001, 58812, 12789, 11, 128360, 129480, 128431, 128263, 130540, 128361, 128531, 23165, 2143, 13, 133958, 79126, 128339, 11, 131167, 595, 20868, 128384, 128348, 128323, 129553, 11, 128365, 128599, 128366, 128392, 128336, 61328, 28776, 129572, 11, 126199, 131167, 595, 20868, 128384, 128291, 85852, 128348, 128282, 130925, 128740, 128271, 128498, 128451, 97832, 128804, 481, 128727, 129455, 326, 125252, 128362, 11, 135578, 128980, 133713, 128333, 11, 85852, 128282, 128417, 129551, 128529, 129528, 2162, 78, 128319, 128356, 69086, 293, 87939, 129111, 128282, 129888, 128356, 138178, 135429, 11, 61758, 137106, 72067, 11, 128558, 128568, 96535, 128282, 294, 124504, 128738, 2600, 135578, 128322, 133795, 128273, 129078, 128728, 128387, 130121, 9338, 785, 78, 128296, 11, 128360, 128845, 128994, 130123, 135578, 128322, 133795, 128350, 130483, 128924, 61758, 128278, 220, 130483, 128924, 129738, 128599, 128556, 128311, 11, 130483, 128924, 128365, 128599, 128597, 9765, 25232, 79668, 128531, 23165, 2143, 11, 129664, 63478, 128253, 128403, 128432, 128336, 8988, 125115, 129398, 135111, 13, 129024, 53037, 128267, 128323, 7777, 4076, 131491, 128378, 98170, 24790, 128847, 128410, 128348, 128279, 913, 88, 129553, 128283, 308, 352, 128267, 53037, 23165, 124312, 128904, 63478, 13, 138933, 128270, 11, 128633, 133713, 348, 124536, 130179, 128267, 128529, 11, 78228, 128322, 128760, 128529, 129528, 128268, 128279, 913, 88, 129553, 128622, 624, 42, 20868, 128990, 78228, 128290, 128914, 128358, 128360, 63478, 913, 88, 7777, 124503, 76, 134168, 89218, 66, 79668, 129470, 128284, 69086, 128290, 220, 17, 15, 16, 18, 11, 128290, 63478, 1062, 72, 37915, 128450, 326, 39938, 481, 279, 78, 129315, 129598, 128290, 28776, 128322, 1231, 97021, 352, 128830, 128419, 128314, 624, 9951, 13, 128984, 92155, 2350, 644, 624, 1282, 124603, 128906, 128360, 136732, 128333, 128640, 128265, 129822, 128254, 47742, 128322, 128450, 11, 128358, 37915, 128249, 142303, 128595, 63478, 773, 49886, 132972, 62029, 1319, 84, 11, 28776, 128322, 128760, 72067, 64, 128292, 47742, 128336, 8988, 125115, 2162, 78, 11, 130925, 128740, 63478, 128271, 138585, 129087, 128376, 293, 53061, 47742, 129986, 129121, 59735, 128336, 8988, 125115, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 128324, 29974, 69086, 293, 87939, 129111, 92105, 624, 40225, 33450, 128336, 128283, 64061, 62029, 142303, 128595, 11, 128360, 128788, 128589, 129407, 128431, 220, 17, 131270, 128580, 128456, 25, 451, 8835, 968, 2162, 78, 128380, 128375, 129270, 128356, 128275, 128301, 78228, 128376, 47742, 128553, 489, 2185, 128550, 128396, 128278, 128379, 62029, 26, 135984, 23165, 125531, 128277, 128365, 128285, 128745, 128740, 59735, 653, 27924, 128386, 624, 35544, 126201, 132668, 308, 9917, 71, 133061, 128368, 135578, 133795, 134383, 28776, 128254, 128421, 129054, 128250, 129470, 128599, 128265, 1187, 78, 128285, 279, 78, 125440, 220, 17, 128846, 25, 129005, 128387, 1154, 128277, 130502, 305, 50483, 83, 129738, 1187, 78, 128285, 128380, 128375, 2162, 78, 279, 78, 128498, 128451, 128322, 133795, 129531, 128859, 92105, 126199, 53037, 128254, 128425, 15122, 69086, 128300, 128249, 128300, 46051, 26, 140366, 128354, 1154, 128277, 136525, 135991, 129188, 135518, 1187, 78, 128285, 53037, 128320, 129831, 128319, 94576, 78228, 128322, 128760, 128531, 23165, 2143, 135578, 133795, 134383, 47742, 131778, 279, 78, 128253, 342, 124415, 132932, 128265, 130034, 128386, 47742, 458, 97832, 128847, 128410, 624, 39, 67657, 128870, 11, 129227, 138456, 128368, 128278, 128379, 11, 128725, 130502, 129522, 134814, 128291, 135578, 133795, 134383, 595, 20868, 128384, 125440, 128376, 348, 124536, 130179, 17669, 3275, 130179, 11, 126370, 130179, 128465, 17669, 128821, 128582, 28776, 128254, 128266, 128529, 435, 42504, 72, 926, 94994, 653, 27924, 128386, 94576, 129017, 85636, 79479, 11, 126260, 128331, 47742, 128760, 128331, 595, 20868, 653, 27924, 133138, 79668, 270, 309, 94995, 595, 20868, 653, 27924, 128273, 126260, 128331, 92105, 11, 128250, 128253, 129470, 128599, 92105, 53037, 128926, 132629, 73525, 128265, 128738, 129623, 23686, 71, 11, 595, 20868, 128990, 11, 128421, 128400, 47742, 129531, 128365, 131084, 128740, 126260, 128331, 26, 94576, 128270, 28776, 128254, 131778, 279, 78, 78228, 435, 42504, 72, 926, 128265, 138178, 308, 69611, 92105, 128475, 130502, 305, 50483, 83, 129738, 130498, 47742, 129470, 128599, 348, 352, 92105, 624, 40225, 124483, 128327, 11, 128725, 130502, 136408, 128550, 11, 128459, 128361, 135578, 133795, 134383, 595, 20868, 128384, 128320, 28776, 128254, 128425, 272, 43906, 128882, 131399, 968, 128812, 78228, 126258, 128595, 128278, 128379, 294, 78820, 57512, 279, 78, 130179, 128338, 128278, 128379, 133138, 11, 94995, 128529, 128277, 326, 125252, 128284, 11, 130034, 136122, 47742, 270, 309, 20303, 125432, 92105, 128253, 126258, 128595, 128278, 128379, 92105, 128310, 98896, 135578, 133795, 134383, 11, 128281, 37915, 127980, 128978, 128278, 128379, 62029, 624, 45, 3346, 52551, 15122, 11, 78228, 128623, 128285, 595, 20868, 653, 27924, 130990, 135578, 133795, 134383, 128268, 28776, 128254, 37915, 142770, 128653, 129045, 128253, 128400, 128310, 128633, 133713, 130906, 62572, 92105, 128475, 128266, 128362, 97832, 128253, 7777, 4076, 128322, 141673, 220, 125641, 92105, 128265, 129991, 128331, 128480, 128273, 128704, 129030, 128960, 15122, 78228, 128623, 128285, 96535, 624, 26067, 71, 663, 125992, 342, 6023, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945 ]
1,946
[ 45, 8835, 968, 128376, 131210, 131868, 8564, 71, 320, 39, 75050, 130695, 8, 64061, 126260, 128847, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 79126, 8943, 128373, 141127, 128784, 64061, 128980, 126260, 128847, 131868, 8564, 71, 129281, 129018, 131039, 130695, 128273, 128322, 128760, 128401, 128366, 220, 17, 23, 13, 17, 15, 17, 11, 22, 23, 6386, 129054, 128761, 128377, 128452, 47742, 220, 16, 21, 19, 13, 23, 18, 22, 128310, 97610, 59735, 131210, 131868, 8564, 71, 624, 785, 78, 141127, 128784, 59735, 129591, 130388, 11, 128267, 64061, 128980, 220, 23, 140515, 129281, 126260, 128847, 131868, 8564, 71, 128273, 128322, 128760, 128249, 65526, 128847, 11, 126260, 489, 124644, 59735, 131210, 131868, 8564, 71, 133138, 130068, 78228, 140515, 25, 2350, 21742, 444, 37059, 11, 129126, 1527, 11, 131868, 92155, 11, 89872, 50327, 85142, 11, 131053, 133907, 11, 138465, 134315, 11, 130597, 133508, 47742, 425, 70248, 350, 125238, 13, 133958, 128490, 11, 32154, 94994, 64061, 128980, 11, 126260, 128847, 131868, 8564, 71, 28776, 220, 17, 15, 128666, 128444, 128373, 128311, 129372, 129281, 320, 70, 70680, 76, 220, 23, 140515, 92105, 64061, 128980, 47742, 220, 16, 17, 128847, 25, 130597, 17275, 64, 663, 35234, 11, 131699, 444, 125582, 11, 130597, 133778, 11, 730, 5498, 16719, 15392, 524, 11, 129126, 129938, 11, 1527, 444, 124904, 11, 133508, 422, 39392, 11, 130717, 444, 124904, 11, 130726, 1527, 11, 356, 60257, 129932, 11, 133404, 21793, 25232, 11, 139203, 50327, 88316, 568, 132352, 42256, 320, 143505, 25, 141127, 128784, 220, 15, 24, 20290, 48, 12, 7123, 4292, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 45, 8835, 968, 128376, 131210, 131868, 8564, 71, 320, 39, 75050, 130695, 8, 64061, 126260, 128847, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 79126, 8943, 128373, 141127, 128784, 64061, 128980, 126260, 128847, 131868, 8564, 71, 129281, 129018, 131039, 130695, 128273, 128322, 128760, 128401, 128366, 220, 17, 23, 13, 17, 15, 17, 11, 22, 23, 6386, 129054, 128761, 128377, 128452, 47742, 220, 16, 21, 19, 13, 23, 18, 22, 128310, 97610, 59735, 131210, 131868, 8564, 71, 624, 785, 78, 141127, 128784, 59735, 129591, 130388, 11, 128267, 64061, 128980, 220, 23, 140515, 129281, 126260, 128847, 131868, 8564, 71, 128273, 128322, 128760, 128249, 65526, 128847, 11, 126260, 489, 124644, 59735, 131210, 131868, 8564, 71, 133138, 130068, 78228, 140515, 25, 2350, 21742, 444, 37059, 11, 129126, 1527, 11, 131868, 92155, 11, 89872, 50327, 85142, 11, 131053, 133907, 11, 138465, 134315, 11, 130597, 133508, 47742, 425, 70248, 350, 125238, 13, 133958, 128490, 11, 32154, 94994, 64061, 128980, 11, 126260, 128847, 131868, 8564, 71, 28776, 220, 17, 15, 128666, 128444, 128373, 128311, 129372, 129281, 320, 70, 70680, 76, 220, 23, 140515, 92105, 64061, 128980, 47742, 220, 16, 17, 128847, 25, 130597, 17275, 64, 663, 35234, 11, 131699, 444, 125582, 11, 130597, 133778, 11, 730, 5498, 16719, 15392, 524, 11, 129126, 129938, 11, 1527, 444, 124904, 11, 133508, 422, 39392, 11, 130717, 444, 124904, 11, 130726, 1527, 11, 356, 60257, 129932, 11, 133404, 21793, 25232, 11, 139203, 50327, 88316, 568, 132352, 42256, 320, 143505, 25, 141127, 128784, 220, 15, 24, 20290, 48, 12, 7123, 4292, 151645 ]
[ 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
[ 40225, 72, 124477, 128830, 47742, 129888, 128356, 128556, 128311, 78228, 1319, 6362, 128324, 481, 50327, 276, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133761, 130390, 131943, 128984, 17632, 71, 472, 88771, 79126, 28776, 128534, 128683, 132677, 131678, 128456, 130097, 59735, 129029, 134352, 128311, 128265, 128830, 47742, 129888, 128356, 128556, 128311, 78228, 1319, 6362, 128324, 481, 50327, 276, 59735, 3406, 125093, 2350, 6362, 128338, 64061, 94576, 129972, 128886, 59735, 50327, 276, 386, 125202, 624, 3357, 1794, 130390, 131943, 79126, 128329, 128431, 128334, 128830, 2600, 129018, 1527, 15392, 524, 220, 17, 1319, 6362, 26, 2600, 129932, 128974, 129785, 131868, 92155, 220, 17, 1319, 6362, 129281, 78228, 1319, 6362, 128324, 481, 50327, 276, 79126, 128353, 128284, 128272, 129018, 425, 70248, 12475, 47742, 64061, 128974, 138310, 663, 38715, 11, 128329, 128327, 128334, 128830, 220, 17, 1319, 6362, 94576, 356, 50483, 76, 1319, 6362, 472, 125285, 15392, 524, 28240, 356, 50483, 76, 1319, 6362, 129758, 76, 356, 89208, 13, 134914, 128250, 78228, 1319, 6362, 63478, 128334, 128830, 128336, 128283, 279, 78, 128675, 128482, 131538, 95082, 128275, 128301, 128376, 128362, 2600, 78228, 128704, 128675, 11, 128322, 922, 276, 128424, 128370, 78228, 1319, 6362, 96535, 13, 133761, 130390, 131943, 128268, 128329, 128431, 856, 58875, 128401, 128366, 138178, 128459, 129572, 11, 1599, 2426, 128386, 1319, 6362, 425, 70248, 12475, 47742, 356, 50483, 76, 1319, 6362, 472, 125285, 15392, 524, 53037, 128282, 129477, 138178, 348, 352, 3406, 125093, 2350, 6362, 128421, 128250, 78228, 1319, 6362, 128339, 128273, 11, 128439, 94576, 128300, 78228, 1319, 6362, 96535, 139474, 128623, 128285, 128263, 308, 352, 13, 129029, 134352, 128311, 37915, 128666, 128444, 28776, 129414, 128367, 128846, 128653, 78228, 128704, 128675, 11, 128322, 922, 276, 128542, 922, 276, 128336, 128283, 128289, 128334, 132314, 128322, 128751, 128556, 128311, 47742, 129888, 128356, 138178, 348, 352, 128273, 13, 135632, 128345, 11, 94576, 128290, 220, 16, 24, 24, 21, 11, 50327, 276, 386, 125202, 47742, 128324, 29974, 79126, 128319, 128400, 69086, 132122, 128978, 130314, 128376, 131140, 131520, 128322, 128760, 47742, 128623, 128285, 59735, 1319, 6362, 128273, 78228, 130980, 128448, 132601, 129281, 128664, 130540, 47742, 78228, 130980, 342, 22516, 92430, 128311, 128269, 127980, 128978, 128329, 128411, 134782, 356, 50674, 84, 5724, 13, 133670, 220, 17, 15, 15, 18, 11, 46051, 128608, 79126, 129212, 139988, 131678, 128265, 128289, 64061, 128980, 922, 125093, 1319, 6362, 129181, 128324, 29974, 47742, 50327, 276, 386, 125202, 129227, 128277, 128334, 128373, 59735, 3406, 125093, 472, 71431, 128886, 135322, 128531, 128324, 29974, 59735, 50327, 276, 386, 125202, 320, 6352, 37, 568, 128494, 128521, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 72, 124477, 128830, 47742, 129888, 128356, 128556, 128311, 78228, 1319, 6362, 128324, 481, 50327, 276, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133761, 130390, 131943, 128984, 17632, 71, 472, 88771, 79126, 28776, 128534, 128683, 132677, 131678, 128456, 130097, 59735, 129029, 134352, 128311, 128265, 128830, 47742, 129888, 128356, 128556, 128311, 78228, 1319, 6362, 128324, 481, 50327, 276, 59735, 3406, 125093, 2350, 6362, 128338, 64061, 94576, 129972, 128886, 59735, 50327, 276, 386, 125202, 624, 3357, 1794, 130390, 131943, 79126, 128329, 128431, 128334, 128830, 2600, 129018, 1527, 15392, 524, 220, 17, 1319, 6362, 26, 2600, 129932, 128974, 129785, 131868, 92155, 220, 17, 1319, 6362, 129281, 78228, 1319, 6362, 128324, 481, 50327, 276, 79126, 128353, 128284, 128272, 129018, 425, 70248, 12475, 47742, 64061, 128974, 138310, 663, 38715, 11, 128329, 128327, 128334, 128830, 220, 17, 1319, 6362, 94576, 356, 50483, 76, 1319, 6362, 472, 125285, 15392, 524, 28240, 356, 50483, 76, 1319, 6362, 129758, 76, 356, 89208, 13, 134914, 128250, 78228, 1319, 6362, 63478, 128334, 128830, 128336, 128283, 279, 78, 128675, 128482, 131538, 95082, 128275, 128301, 128376, 128362, 2600, 78228, 128704, 128675, 11, 128322, 922, 276, 128424, 128370, 78228, 1319, 6362, 96535, 13, 133761, 130390, 131943, 128268, 128329, 128431, 856, 58875, 128401, 128366, 138178, 128459, 129572, 11, 1599, 2426, 128386, 1319, 6362, 425, 70248, 12475, 47742, 356, 50483, 76, 1319, 6362, 472, 125285, 15392, 524, 53037, 128282, 129477, 138178, 348, 352, 3406, 125093, 2350, 6362, 128421, 128250, 78228, 1319, 6362, 128339, 128273, 11, 128439, 94576, 128300, 78228, 1319, 6362, 96535, 139474, 128623, 128285, 128263, 308, 352, 13, 129029, 134352, 128311, 37915, 128666, 128444, 28776, 129414, 128367, 128846, 128653, 78228, 128704, 128675, 11, 128322, 922, 276, 128542, 922, 276, 128336, 128283, 128289, 128334, 132314, 128322, 128751, 128556, 128311, 47742, 129888, 128356, 138178, 348, 352, 128273, 13, 135632, 128345, 11, 94576, 128290, 220, 16, 24, 24, 21, 11, 50327, 276, 386, 125202, 47742, 128324, 29974, 79126, 128319, 128400, 69086, 132122, 128978, 130314, 128376, 131140, 131520, 128322, 128760, 47742, 128623, 128285, 59735, 1319, 6362, 128273, 78228, 130980, 128448, 132601, 129281, 128664, 130540, 47742, 78228, 130980, 342, 22516, 92430, 128311, 128269, 127980, 128978, 128329, 128411, 134782, 356, 50674, 84, 5724, 13, 133670, 220, 17, 15, 15, 18, 11, 46051, 128608, 79126, 129212, 139988, 131678, 128265, 128289, 64061, 128980, 922, 125093, 1319, 6362, 129181, 128324, 29974, 47742, 50327, 276, 386, 125202, 129227, 128277, 128334, 128373, 59735, 3406, 125093, 472, 71431, 128886, 135322, 128531, 128324, 29974, 59735, 50327, 276, 386, 125202, 320, 6352, 37, 568, 128494, 128521, 624, 151645 ]
[ 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
[ 1001, 124397, 220, 24, 25, 472, 4076, 128285, 220, 16, 15, 13, 22, 17, 15, 129427, 128329, 350, 4872, 47, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 84137, 24790, 94576, 129029, 134352, 128311, 11, 69086, 128526, 220, 24, 11, 133827, 479, 22516, 128507, 128977, 72067, 11390, 128521, 128685, 126341, 128502, 220, 16, 16, 133234, 129507, 270, 91012, 11, 305, 4076, 128285, 63478, 220, 16, 15, 13, 22, 17, 15, 129427, 128329, 130641, 137535, 129591, 130388, 320, 4239, 7123, 4292, 1282, 27021, 126260, 128331, 350, 4872, 47, 128720, 128376, 11, 129822, 135836, 128375, 342, 22516, 128507, 350, 4872, 47, 279, 78, 128675, 128482, 342, 22516, 128507, 92430, 128454, 129664, 128304, 220, 24, 20, 11, 24, 129077, 130641, 137535, 11, 129509, 138051, 128250, 128309, 128466, 342, 22516, 128507, 129664, 128304, 220, 16, 15, 13, 19, 24, 21, 129427, 128329, 624, 40225, 87939, 128250, 126260, 128331, 129582, 128376, 11, 69086, 128526, 220, 24, 11, 133827, 479, 22516, 128507, 128977, 72067, 11390, 128521, 128685, 126341, 128502, 220, 16, 16, 133234, 129507, 270, 91012, 11, 305, 4076, 128285, 63478, 220, 16, 15, 13, 22, 17, 15, 83, 127316, 128329, 11, 69086, 128270, 730, 6161, 134424, 129645, 128301, 305, 4076, 128285, 63478, 220, 22, 13, 22, 23, 15, 129427, 128329, 11, 138737, 61758, 135322, 128531, 128324, 29974, 305, 4076, 128285, 63478, 220, 16, 13, 24, 19, 15, 129427, 128329, 11, 730, 6161, 134424, 129645, 128301, 128521, 128685, 305, 4076, 128285, 63478, 220, 16, 13, 15, 15, 15, 129427, 128329, 624, 48469, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 124397, 220, 24, 25, 472, 4076, 128285, 220, 16, 15, 13, 22, 17, 15, 129427, 128329, 350, 4872, 47, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 84137, 24790, 94576, 129029, 134352, 128311, 11, 69086, 128526, 220, 24, 11, 133827, 479, 22516, 128507, 128977, 72067, 11390, 128521, 128685, 126341, 128502, 220, 16, 16, 133234, 129507, 270, 91012, 11, 305, 4076, 128285, 63478, 220, 16, 15, 13, 22, 17, 15, 129427, 128329, 130641, 137535, 129591, 130388, 320, 4239, 7123, 4292, 1282, 27021, 126260, 128331, 350, 4872, 47, 128720, 128376, 11, 129822, 135836, 128375, 342, 22516, 128507, 350, 4872, 47, 279, 78, 128675, 128482, 342, 22516, 128507, 92430, 128454, 129664, 128304, 220, 24, 20, 11, 24, 129077, 130641, 137535, 11, 129509, 138051, 128250, 128309, 128466, 342, 22516, 128507, 129664, 128304, 220, 16, 15, 13, 19, 24, 21, 129427, 128329, 624, 40225, 87939, 128250, 126260, 128331, 129582, 128376, 11, 69086, 128526, 220, 24, 11, 133827, 479, 22516, 128507, 128977, 72067, 11390, 128521, 128685, 126341, 128502, 220, 16, 16, 133234, 129507, 270, 91012, 11, 305, 4076, 128285, 63478, 220, 16, 15, 13, 22, 17, 15, 83, 127316, 128329, 11, 69086, 128270, 730, 6161, 134424, 129645, 128301, 305, 4076, 128285, 63478, 220, 22, 13, 22, 23, 15, 129427, 128329, 11, 138737, 61758, 135322, 128531, 128324, 29974, 305, 4076, 128285, 63478, 220, 16, 13, 24, 19, 15, 129427, 128329, 11, 730, 6161, 134424, 129645, 128301, 128521, 128685, 305, 4076, 128285, 63478, 220, 16, 13, 15, 15, 15, 129427, 128329, 624, 48469, 624, 151645 ]
[ 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
[ 45351, 124778, 128370, 133784, 128595, 330, 45, 8835, 968, 128376, 130287, 126260, 133318, 136192, 129854, 130726, 698, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 16, 22, 14, 23, 11, 130390, 131943, 129591, 130388, 128329, 128431, 128265, 128427, 140996, 128289, 128424, 128370, 133784, 128595, 330, 45, 8835, 968, 128376, 130287, 126260, 133318, 136192, 129854, 130726, 1, 128531, 23165, 2143, 128272, 220, 19, 129018, 25, 135601, 12100, 27021, 11, 130726, 730, 49886, 11, 356, 3441, 425, 125455, 47742, 131053, 132019, 624, 35, 61031, 128595, 128273, 63478, 130483, 128924, 128353, 128284, 130498, 348, 352, 59735, 138737, 61758, 131346, 128449, 320, 52868, 8, 69086, 94995, 72, 130393, 220, 17, 15, 16, 17, 481, 220, 17, 15, 16, 19, 11, 128250, 129822, 130498, 348, 352, 129168, 220, 17, 20, 15, 129077, 19551, 13, 129029, 730, 26068, 130361, 47742, 137720, 128379, 37915, 128666, 128444, 28776, 131368, 129414, 131628, 128319, 137277, 521, 124760, 128250, 52503, 47742, 128322, 922, 276, 129270, 128356, 506, 6352, 59735, 129591, 130388, 128846, 128653, 78228, 129018, 128273, 128643, 130509, 142303, 272, 85375, 126258, 128595, 11, 128361, 130390, 131943, 129591, 130388, 134634, 141840, 98896, 129203, 279, 78, 126370, 128333, 128283, 128373, 13, 128494, 128521, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 45351, 124778, 128370, 133784, 128595, 330, 45, 8835, 968, 128376, 130287, 126260, 133318, 136192, 129854, 130726, 698, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 16, 22, 14, 23, 11, 130390, 131943, 129591, 130388, 128329, 128431, 128265, 128427, 140996, 128289, 128424, 128370, 133784, 128595, 330, 45, 8835, 968, 128376, 130287, 126260, 133318, 136192, 129854, 130726, 1, 128531, 23165, 2143, 128272, 220, 19, 129018, 25, 135601, 12100, 27021, 11, 130726, 730, 49886, 11, 356, 3441, 425, 125455, 47742, 131053, 132019, 624, 35, 61031, 128595, 128273, 63478, 130483, 128924, 128353, 128284, 130498, 348, 352, 59735, 138737, 61758, 131346, 128449, 320, 52868, 8, 69086, 94995, 72, 130393, 220, 17, 15, 16, 17, 481, 220, 17, 15, 16, 19, 11, 128250, 129822, 130498, 348, 352, 129168, 220, 17, 20, 15, 129077, 19551, 13, 129029, 730, 26068, 130361, 47742, 137720, 128379, 37915, 128666, 128444, 28776, 131368, 129414, 131628, 128319, 137277, 521, 124760, 128250, 52503, 47742, 128322, 922, 276, 129270, 128356, 506, 6352, 59735, 129591, 130388, 128846, 128653, 78228, 129018, 128273, 128643, 130509, 142303, 272, 85375, 126258, 128595, 11, 128361, 130390, 131943, 129591, 130388, 134634, 141840, 98896, 129203, 279, 78, 126370, 128333, 128283, 128373, 13, 128494, 128521, 624, 151645 ]
[ 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
[ 1143, 124692, 135285, 128371, 134666, 775, 128329, 17672, 128529, 128309, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 17, 20, 14, 16, 11, 128329, 17672, 79126, 128529, 128350, 129240, 2162, 78, 132551, 326, 92704, 69086, 220, 16, 16, 128526, 73525, 11, 128250, 220, 16, 17672, 128726, 63478, 220, 16, 11, 18, 19, 22, 24, 19551, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 1282, 644, 220, 21, 128526, 128727, 73525, 11, 128329, 17672, 79126, 128529, 128309, 220, 16, 15, 4, 773, 128250, 128666, 128444, 128515, 139091, 59735, 128819, 11, 47742, 128529, 220, 17, 20, 4, 773, 128250, 128329, 134226, 129898, 130164, 13, 350, 4076, 128452, 11, 279, 78, 128603, 132034, 1967, 3128, 450, 320, 1001, 26068, 128449, 701, 128289, 128329, 17672, 128529, 128309, 128651, 138123, 37915, 131575, 128423, 133043, 922, 276, 11, 136023, 128997, 11, 128334, 96535, 128320, 28776, 128254, 14854, 68, 294, 41603, 64, 128263, 14854, 6362, 128904, 130344, 595, 20868, 128384, 59735, 133539, 135285, 624, 1282, 27021, 128336, 128384, 11, 128329, 17672, 79126, 128818, 128350, 129861, 130291, 86139, 129742, 128290, 73525, 11, 32154, 94994, 19461, 8684, 128281, 128597, 128486, 131538, 130042, 2600, 348, 352, 129156, 128886, 129822, 130700, 220, 19, 24, 11, 16, 129427, 17672, 11, 128430, 10112, 444, 127432, 131282, 7777, 4076, 128322, 348, 125726, 138178, 47742, 128282, 138559, 130553, 135836, 624, 38, 69611, 128358, 11, 138737, 61758, 1163, 2185, 220, 85375, 133539, 135285, 320, 7498, 33, 8, 92430, 128603, 128914, 220, 18, 15, 15, 131538, 61758, 69086, 730, 16739, 128978, 128329, 128515, 521, 2185, 133539, 135285, 320, 97427, 8684, 8, 128267, 131969, 63478, 348, 352, 128570, 85852, 130042, 129913, 128284, 23165, 125641, 128376, 128466, 128309, 220, 16, 18, 22, 11, 16, 21, 129427, 17672, 13, 130303, 24790, 94576, 79947, 129357, 272, 128042, 129234, 98170, 24790, 128640, 128564, 139235, 11386, 124428, 138178, 62029, 128272, 127980, 128978, 79126, 73525, 94995, 72, 130393, 137105, 72, 139091, 128281, 624, 40225, 70248, 128278, 128290, 220, 17, 15, 16, 18, 11, 128251, 9450, 53037, 128320, 775, 138039, 135836, 128353, 128284, 128329, 128515, 521, 2185, 128279, 14197, 435, 3202, 11, 126199, 128334, 128348, 128893, 128271, 128251, 293, 124626, 72067, 124626, 128311, 85852, 37915, 128283, 129014, 128666, 128444, 128515, 139091, 521, 2185, 133539, 135285, 128529, 128309, 773, 128250, 128329, 19551, 624, 40225, 124483, 17672, 128529, 128309, 14854, 68, 294, 41603, 64, 127980, 128978, 128415, 97610, 59735, 425, 70680, 50327, 125017, 451, 4223, 47742, 130951, 22730, 451, 4223, 11, 46051, 128668, 856, 125531, 129553, 135153, 69086, 132625, 521, 125593, 133539, 135285, 13, 1163, 644, 128249, 521, 124710, 296, 92302, 128352, 128270, 11, 128415, 97610, 59735, 132034, 47742, 130291, 125440, 59735, 129938, 128268, 53037, 128254, 128823, 458, 128867, 128277, 13, 129938, 130498, 63478, 1062, 72, 37915, 134902, 272, 94313, 136141, 24790, 59735, 133539, 135285, 11, 128725, 128415, 97610, 128269, 128358, 913, 88, 129553, 11, 128529, 129528, 595, 20868, 128384, 128401, 133539, 135285, 128268, 128267, 128845, 86139, 128419, 129916, 128603, 128285, 11, 129528, 128366, 134851, 128278, 128379, 128272, 70615, 291, 18374, 9551, 128370, 128333, 624, 7498, 33, 128362, 73586, 129913, 128423, 128640, 128267, 53037, 646, 61328, 125452, 36124, 126303, 128309, 17672, 13, 129932, 97483, 8943, 128334, 128373, 79947, 468, 52906, 4695, 354, 3834, 2600, 128603, 128449, 17669, 11, 128283, 128272, 129427, 128309, 53037, 128282, 37915, 134666, 775, 138039, 128465, 11, 69086, 94994, 128270, 11, 128427, 131443, 79947, 23381, 24861, 6023, 128981, 2600, 128345, 128436, 53037, 28776, 128633, 126500, 129203, 128575, 129427, 128309, 128352, 624, 51, 4076, 128452, 11, 78228, 128744, 94995, 59735, 17543, 74658, 2600, 128640, 11, 94994, 17672, 128424, 128884, 128818, 128350, 128267, 135571, 79947, 128282, 131140, 140694, 131531, 69086, 129681, 7946, 128290, 308, 352, 13, 138290, 128311, 128351, 133539, 135285, 128300, 129357, 775, 138039, 128265, 128400, 128285, 59735, 128329, 17672, 128818, 128263, 131167, 595, 20868, 128384, 127980, 128978, 130498, 79126, 129553, 220, 132540, 11, 128744, 94995, 59735, 17543, 74658, 137429, 128818, 624, 51, 127316, 128309, 37915, 134666, 775, 138039, 53037, 128282, 98127, 59735, 131400, 128854, 17672, 8684, 11, 128272, 129898, 130164, 11, 131538, 61758, 489, 2185, 220, 85375, 128268, 128373, 128285, 128761, 129541, 79668, 36124, 126303, 128309, 128329, 134226, 69086, 128253, 130681, 128914, 128358, 624, 51, 37059, 133539, 135285, 11, 663, 50483, 88, 328, 125093, 128268, 36124, 126303, 128348, 128529, 128309, 59735, 128329, 43479, 13, 1163, 644, 94994, 128270, 11, 133761, 663, 89208, 133796, 131538, 61758, 489, 2185, 220, 85375, 12812, 547, 88, 130681, 96535, 2600, 128345, 28776, 128254, 131140, 140694, 131531, 86139, 128278, 128526, 220, 18, 653, 128329, 87932, 261, 59735, 12812, 547, 88, 128348, 128529, 128818, 128378, 63478, 1062, 72, 37915, 128556, 85636, 136003, 220, 125641, 458, 128401, 624, 33, 124491, 1163, 86728, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1143, 124692, 135285, 128371, 134666, 775, 128329, 17672, 128529, 128309, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 17, 20, 14, 16, 11, 128329, 17672, 79126, 128529, 128350, 129240, 2162, 78, 132551, 326, 92704, 69086, 220, 16, 16, 128526, 73525, 11, 128250, 220, 16, 17672, 128726, 63478, 220, 16, 11, 18, 19, 22, 24, 19551, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 1282, 644, 220, 21, 128526, 128727, 73525, 11, 128329, 17672, 79126, 128529, 128309, 220, 16, 15, 4, 773, 128250, 128666, 128444, 128515, 139091, 59735, 128819, 11, 47742, 128529, 220, 17, 20, 4, 773, 128250, 128329, 134226, 129898, 130164, 13, 350, 4076, 128452, 11, 279, 78, 128603, 132034, 1967, 3128, 450, 320, 1001, 26068, 128449, 701, 128289, 128329, 17672, 128529, 128309, 128651, 138123, 37915, 131575, 128423, 133043, 922, 276, 11, 136023, 128997, 11, 128334, 96535, 128320, 28776, 128254, 14854, 68, 294, 41603, 64, 128263, 14854, 6362, 128904, 130344, 595, 20868, 128384, 59735, 133539, 135285, 624, 1282, 27021, 128336, 128384, 11, 128329, 17672, 79126, 128818, 128350, 129861, 130291, 86139, 129742, 128290, 73525, 11, 32154, 94994, 19461, 8684, 128281, 128597, 128486, 131538, 130042, 2600, 348, 352, 129156, 128886, 129822, 130700, 220, 19, 24, 11, 16, 129427, 17672, 11, 128430, 10112, 444, 127432, 131282, 7777, 4076, 128322, 348, 125726, 138178, 47742, 128282, 138559, 130553, 135836, 624, 38, 69611, 128358, 11, 138737, 61758, 1163, 2185, 220, 85375, 133539, 135285, 320, 7498, 33, 8, 92430, 128603, 128914, 220, 18, 15, 15, 131538, 61758, 69086, 730, 16739, 128978, 128329, 128515, 521, 2185, 133539, 135285, 320, 97427, 8684, 8, 128267, 131969, 63478, 348, 352, 128570, 85852, 130042, 129913, 128284, 23165, 125641, 128376, 128466, 128309, 220, 16, 18, 22, 11, 16, 21, 129427, 17672, 13, 130303, 24790, 94576, 79947, 129357, 272, 128042, 129234, 98170, 24790, 128640, 128564, 139235, 11386, 124428, 138178, 62029, 128272, 127980, 128978, 79126, 73525, 94995, 72, 130393, 137105, 72, 139091, 128281, 624, 40225, 70248, 128278, 128290, 220, 17, 15, 16, 18, 11, 128251, 9450, 53037, 128320, 775, 138039, 135836, 128353, 128284, 128329, 128515, 521, 2185, 128279, 14197, 435, 3202, 11, 126199, 128334, 128348, 128893, 128271, 128251, 293, 124626, 72067, 124626, 128311, 85852, 37915, 128283, 129014, 128666, 128444, 128515, 139091, 521, 2185, 133539, 135285, 128529, 128309, 773, 128250, 128329, 19551, 624, 40225, 124483, 17672, 128529, 128309, 14854, 68, 294, 41603, 64, 127980, 128978, 128415, 97610, 59735, 425, 70680, 50327, 125017, 451, 4223, 47742, 130951, 22730, 451, 4223, 11, 46051, 128668, 856, 125531, 129553, 135153, 69086, 132625, 521, 125593, 133539, 135285, 13, 1163, 644, 128249, 521, 124710, 296, 92302, 128352, 128270, 11, 128415, 97610, 59735, 132034, 47742, 130291, 125440, 59735, 129938, 128268, 53037, 128254, 128823, 458, 128867, 128277, 13, 129938, 130498, 63478, 1062, 72, 37915, 134902, 272, 94313, 136141, 24790, 59735, 133539, 135285, 11, 128725, 128415, 97610, 128269, 128358, 913, 88, 129553, 11, 128529, 129528, 595, 20868, 128384, 128401, 133539, 135285, 128268, 128267, 128845, 86139, 128419, 129916, 128603, 128285, 11, 129528, 128366, 134851, 128278, 128379, 128272, 70615, 291, 18374, 9551, 128370, 128333, 624, 7498, 33, 128362, 73586, 129913, 128423, 128640, 128267, 53037, 646, 61328, 125452, 36124, 126303, 128309, 17672, 13, 129932, 97483, 8943, 128334, 128373, 79947, 468, 52906, 4695, 354, 3834, 2600, 128603, 128449, 17669, 11, 128283, 128272, 129427, 128309, 53037, 128282, 37915, 134666, 775, 138039, 128465, 11, 69086, 94994, 128270, 11, 128427, 131443, 79947, 23381, 24861, 6023, 128981, 2600, 128345, 128436, 53037, 28776, 128633, 126500, 129203, 128575, 129427, 128309, 128352, 624, 51, 4076, 128452, 11, 78228, 128744, 94995, 59735, 17543, 74658, 2600, 128640, 11, 94994, 17672, 128424, 128884, 128818, 128350, 128267, 135571, 79947, 128282, 131140, 140694, 131531, 69086, 129681, 7946, 128290, 308, 352, 13, 138290, 128311, 128351, 133539, 135285, 128300, 129357, 775, 138039, 128265, 128400, 128285, 59735, 128329, 17672, 128818, 128263, 131167, 595, 20868, 128384, 127980, 128978, 130498, 79126, 129553, 220, 132540, 11, 128744, 94995, 59735, 17543, 74658, 137429, 128818, 624, 51, 127316, 128309, 37915, 134666, 775, 138039, 53037, 128282, 98127, 59735, 131400, 128854, 17672, 8684, 11, 128272, 129898, 130164, 11, 131538, 61758, 489, 2185, 220, 85375, 128268, 128373, 128285, 128761, 129541, 79668, 36124, 126303, 128309, 128329, 134226, 69086, 128253, 130681, 128914, 128358, 624, 51, 37059, 133539, 135285, 11, 663, 50483, 88, 328, 125093, 128268, 36124, 126303, 128348, 128529, 128309, 59735, 128329, 43479, 13, 1163, 644, 94994, 128270, 11, 133761, 663, 89208, 133796, 131538, 61758, 489, 2185, 220, 85375, 12812, 547, 88, 130681, 96535, 2600, 128345, 28776, 128254, 131140, 140694, 131531, 86139, 128278, 128526, 220, 18, 653, 128329, 87932, 261, 59735, 12812, 547, 88, 128348, 128529, 128818, 128378, 63478, 1062, 72, 37915, 128556, 85636, 136003, 220, 125641, 458, 128401, 624, 33, 124491, 1163, 86728, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754 ]
755
[ 3357, 85375, 128482, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 28776, 128784, 128333, 126370, 128333, 128675, 128482, 296, 4284, 11, 128309, 296, 4284, 47742, 128380, 128375, 135803, 128336, 126258, 141207, 128275, 128301, 624, 34, 50483, 128254, 11, 128421, 128250, 143692, 126258, 141207, 128275, 128301, 11, 28776, 220, 19, 128675, 128482, 296, 4284, 128270, 37915, 25, 220, 16, 12, 50327, 124554, 270, 91012, 129922, 142423, 26, 220, 17, 12, 132026, 128333, 270, 91012, 98127, 129470, 128284, 94994, 128282, 126341, 128502, 296, 4284, 7777, 352, 65526, 128375, 143692, 293, 14926, 86139, 128463, 79126, 128376, 279, 78, 3406, 88, 51580, 128333, 59735, 130390, 131943, 129591, 130388, 69086, 128331, 128319, 53037, 129078, 128334, 129065, 126341, 128502, 129507, 270, 91012, 129922, 142423, 79668, 128417, 129551, 129078, 128322, 65526, 135803, 128336, 126258, 141207, 128275, 128301, 133691, 137968, 130925, 128740, 128498, 128451, 129156, 128886, 11, 129972, 128886, 11, 132611, 128904, 130990, 128432, 131265, 52537, 11, 143225, 64, 11386, 49886, 11, 128507, 128453, 26, 220, 18, 12, 386, 4284, 129372, 128424, 63478, 129470, 128284, 94994, 128319, 128329, 128421, 128250, 135974, 270, 91012, 28776, 128811, 85536, 129509, 128377, 63478, 129212, 128371, 128270, 53037, 128459, 220, 21, 128526, 26, 220, 19, 12, 910, 125017, 61758, 129623, 23686, 71, 63478, 129470, 128284, 128421, 128250, 128331, 128319, 135974, 270, 91012, 296, 4284, 143692, 28776, 128309, 135974, 270, 91012, 129227, 220, 17, 129427, 128329, 13, 134914, 128250, 270, 125877, 126258, 141207, 128275, 128301, 28776, 220, 18, 128675, 128482, 296, 4284, 128270, 37915, 25, 220, 16, 12, 132026, 128333, 270, 91012, 63478, 129470, 128284, 128421, 128250, 128331, 128319, 296, 4284, 293, 14926, 65526, 128375, 270, 125877, 32154, 94994, 79126, 128415, 128376, 79668, 130925, 128740, 128498, 128451, 129156, 128886, 11, 132611, 128904, 130990, 128432, 131265, 52537, 11, 143225, 64, 11386, 49886, 11, 128507, 128453, 26, 220, 17, 12, 910, 125017, 61758, 129623, 23686, 71, 63478, 129470, 128284, 128421, 128250, 128331, 128319, 135974, 270, 91012, 296, 4284, 270, 125877, 28776, 128309, 135974, 270, 91012, 129227, 220, 17, 129427, 128329, 26, 220, 18, 12, 386, 4284, 129372, 128424, 11, 129922, 142423, 59735, 128728, 128421, 129014, 13, 129029, 134352, 128311, 128784, 128333, 128309, 128449, 129572, 129597, 128907, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 135433, 128309, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 11, 130390, 131943, 126370, 128333, 129029, 129528, 129029, 134352, 128311, 128784, 128333, 128309, 128449, 129572, 129597, 128907, 79668, 126341, 128502, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 13, 356, 124626, 126500, 86139, 128309, 128449, 129572, 129597, 128907, 653, 129029, 129528, 129029, 134352, 128311, 126370, 128333, 11, 130017, 138831, 129528, 130017, 138831, 133784, 141207, 129645, 128301, 128784, 128333, 128309, 296, 4284, 129705, 128254, 279, 78, 128981, 128327, 128406, 47742, 128981, 128704, 129030, 94994, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 13, 3406, 88, 51580, 128333, 308, 124634, 129398, 11, 135803, 128336, 62572, 72067, 126258, 141207, 128275, 128301, 128282, 130925, 128740, 63478, 78228, 126370, 128333, 128272, 126370, 129311, 129531, 128859, 128664, 94995, 128265, 135803, 128336, 126258, 141207, 128275, 128301, 11, 128498, 128451, 11, 129531, 128859, 11, 126370, 128361, 128417, 129270, 47742, 62029, 128400, 129270, 128356, 279, 78, 126370, 128333, 128283, 128373, 13, 128678, 126370, 128333, 128273, 28776, 128423, 128599, 94576, 128300, 220, 17, 20, 14, 19, 14, 17, 15, 16, 16, 47742, 128267, 63478, 139511, 128327, 129470, 128284, 2600, 128263, 128300, 220, 18, 16, 14, 16, 17, 14, 17, 15, 16, 17, 13, 130597, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3357, 85375, 128482, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 28776, 128784, 128333, 126370, 128333, 128675, 128482, 296, 4284, 11, 128309, 296, 4284, 47742, 128380, 128375, 135803, 128336, 126258, 141207, 128275, 128301, 624, 34, 50483, 128254, 11, 128421, 128250, 143692, 126258, 141207, 128275, 128301, 11, 28776, 220, 19, 128675, 128482, 296, 4284, 128270, 37915, 25, 220, 16, 12, 50327, 124554, 270, 91012, 129922, 142423, 26, 220, 17, 12, 132026, 128333, 270, 91012, 98127, 129470, 128284, 94994, 128282, 126341, 128502, 296, 4284, 7777, 352, 65526, 128375, 143692, 293, 14926, 86139, 128463, 79126, 128376, 279, 78, 3406, 88, 51580, 128333, 59735, 130390, 131943, 129591, 130388, 69086, 128331, 128319, 53037, 129078, 128334, 129065, 126341, 128502, 129507, 270, 91012, 129922, 142423, 79668, 128417, 129551, 129078, 128322, 65526, 135803, 128336, 126258, 141207, 128275, 128301, 133691, 137968, 130925, 128740, 128498, 128451, 129156, 128886, 11, 129972, 128886, 11, 132611, 128904, 130990, 128432, 131265, 52537, 11, 143225, 64, 11386, 49886, 11, 128507, 128453, 26, 220, 18, 12, 386, 4284, 129372, 128424, 63478, 129470, 128284, 94994, 128319, 128329, 128421, 128250, 135974, 270, 91012, 28776, 128811, 85536, 129509, 128377, 63478, 129212, 128371, 128270, 53037, 128459, 220, 21, 128526, 26, 220, 19, 12, 910, 125017, 61758, 129623, 23686, 71, 63478, 129470, 128284, 128421, 128250, 128331, 128319, 135974, 270, 91012, 296, 4284, 143692, 28776, 128309, 135974, 270, 91012, 129227, 220, 17, 129427, 128329, 13, 134914, 128250, 270, 125877, 126258, 141207, 128275, 128301, 28776, 220, 18, 128675, 128482, 296, 4284, 128270, 37915, 25, 220, 16, 12, 132026, 128333, 270, 91012, 63478, 129470, 128284, 128421, 128250, 128331, 128319, 296, 4284, 293, 14926, 65526, 128375, 270, 125877, 32154, 94994, 79126, 128415, 128376, 79668, 130925, 128740, 128498, 128451, 129156, 128886, 11, 132611, 128904, 130990, 128432, 131265, 52537, 11, 143225, 64, 11386, 49886, 11, 128507, 128453, 26, 220, 17, 12, 910, 125017, 61758, 129623, 23686, 71, 63478, 129470, 128284, 128421, 128250, 128331, 128319, 135974, 270, 91012, 296, 4284, 270, 125877, 28776, 128309, 135974, 270, 91012, 129227, 220, 17, 129427, 128329, 26, 220, 18, 12, 386, 4284, 129372, 128424, 11, 129922, 142423, 59735, 128728, 128421, 129014, 13, 129029, 134352, 128311, 128784, 128333, 128309, 128449, 129572, 129597, 128907, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 135433, 128309, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 11, 130390, 131943, 126370, 128333, 129029, 129528, 129029, 134352, 128311, 128784, 128333, 128309, 128449, 129572, 129597, 128907, 79668, 126341, 128502, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 13, 356, 124626, 126500, 86139, 128309, 128449, 129572, 129597, 128907, 653, 129029, 129528, 129029, 134352, 128311, 126370, 128333, 11, 130017, 138831, 129528, 130017, 138831, 133784, 141207, 129645, 128301, 128784, 128333, 128309, 296, 4284, 129705, 128254, 279, 78, 128981, 128327, 128406, 47742, 128981, 128704, 129030, 94994, 296, 4284, 135803, 128336, 126258, 141207, 128275, 128301, 13, 3406, 88, 51580, 128333, 308, 124634, 129398, 11, 135803, 128336, 62572, 72067, 126258, 141207, 128275, 128301, 128282, 130925, 128740, 63478, 78228, 126370, 128333, 128272, 126370, 129311, 129531, 128859, 128664, 94995, 128265, 135803, 128336, 126258, 141207, 128275, 128301, 11, 128498, 128451, 11, 129531, 128859, 11, 126370, 128361, 128417, 129270, 47742, 62029, 128400, 129270, 128356, 279, 78, 126370, 128333, 128283, 128373, 13, 128678, 126370, 128333, 128273, 28776, 128423, 128599, 94576, 128300, 220, 17, 20, 14, 19, 14, 17, 15, 16, 16, 47742, 128267, 63478, 139511, 128327, 129470, 128284, 2600, 128263, 128300, 220, 18, 16, 14, 16, 17, 14, 17, 15, 16, 17, 13, 130597, 7767, 27021, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569 ]
570
[ 55, 84, 51358, 62572, 97610, 128846, 86139, 129009, 136312, 92105, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 33282, 124477, 220, 17, 14, 16, 16, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128427, 132630, 128564, 136856, 128250, 78228, 129029, 11, 129857, 128542, 922, 276, 129263, 128373, 129822, 128403, 128401, 129054, 128419, 128338, 128415, 62572, 97610, 128327, 128880, 220, 17, 15, 15, 16, 12, 17, 15, 16, 15, 79668, 128943, 128855, 142226, 136312, 128415, 62572, 97610, 128327, 128880, 92105, 11, 220, 17, 15, 16, 16, 12, 17, 15, 17, 15, 624, 126884, 16719, 25, 910, 20868, 759, 84, 75157, 624, 53, 125997, 98127, 128575, 128415, 97610, 624, 785, 78, 129029, 128534, 137048, 11, 69086, 94995, 72, 130393, 220, 16, 15, 128290, 73525, 11, 128529, 129528, 128415, 97610, 61758, 128585, 132629, 129203, 128575, 129009, 136312, 128250, 129240, 128529, 128823, 129866, 220, 16, 22, 11, 19, 17, 53381, 77, 77354, 320, 331, 71179, 128575, 220, 16, 20, 53381, 77, 77354, 8, 47742, 2162, 78, 139831, 220, 17, 11, 19, 128568, 137627, 79, 128368, 128529, 29730, 624, 51, 124185, 220, 19, 128387, 61758, 128415, 97610, 28776, 128309, 128466, 128273, 220, 16, 129427, 19551, 128290, 220, 17, 15, 15, 16, 128263, 308, 352, 79126, 128362, 128531, 128350, 220, 16, 23, 128387, 61758, 128415, 97610, 128427, 128599, 47742, 128336, 128283, 64061, 62029, 128249, 65526, 23165, 124692, 14854, 94313, 129108, 128529, 129528, 128415, 97610, 128387, 61758, 92105, 13, 130934, 128331, 128415, 97610, 61758, 128585, 128300, 129357, 63478, 129367, 129922, 47742, 128907, 130249, 11, 94576, 220, 16, 21, 15, 126260, 128331, 128350, 220, 17, 18, 17, 126260, 128331, 11, 130203, 128278, 129207, 128980, 63478, 128249, 65526, 126260, 128331, 128421, 128400, 128319, 128400, 128401, 129054, 11, 128421, 128400, 129009, 136312, 624, 79759, 36745, 97610, 61758, 128585, 128529, 129528, 2162, 78, 11, 130925, 128740, 63478, 141580, 128451, 129031, 128452, 128853, 88057, 11, 128392, 140703, 11, 128422, 128279, 47742, 61758, 128585, 128904, 128367, 85636, 128415, 47742, 128415, 97610, 11, 130925, 128740, 141580, 128451, 128575, 128469, 78228, 128387, 61758, 128422, 129553, 59735, 128394, 129447, 624, 33, 27021, 129623, 128270, 11, 128419, 128338, 128415, 62572, 97610, 128327, 342, 1103, 73525, 128268, 293, 124510, 130540, 128249, 65526, 129572, 128751, 11, 137106, 128272, 13, 3406, 88, 130179, 128415, 97610, 128320, 128821, 11, 128380, 128375, 128529, 129528, 47742, 128423, 128432, 128415, 97610, 128651, 2162, 78, 13, 134695, 133795, 61758, 128585, 128415, 97610, 128830, 128507, 138117, 47742, 128651, 128336, 128277, 128319, 128356, 13, 350, 127316, 130554, 62572, 132539, 128320, 2162, 78, 47742, 128380, 128375, 128529, 129528, 62572, 97610, 132058, 13, 910, 92358, 23165, 2143, 133457, 128418, 78228, 128322, 128410, 47742, 128320, 130502, 128427, 128285, 69086, 128289, 129572, 128751, 78228, 270, 53061, 128482, 653, 128410, 62572, 128664, 128384, 11, 129363, 128365, 128740, 142267, 128250, 128871, 128285, 59735, 126260, 128331, 128314, 128449, 128320, 128271, 129572, 128751, 624, 2183, 64, 129036, 128761, 128336, 129916, 47742, 293, 87939, 129111, 128419, 128338, 128664, 128384, 11, 69086, 128301, 11, 78228, 128275, 130361, 128333, 128348, 128943, 128855, 128495, 130361, 131763, 142094, 129507, 128263, 128290, 220, 17, 15, 17, 15, 128930, 128324, 16449, 128570, 64061, 128249, 128301, 28776, 131167, 130906, 128560, 128362, 128531, 11, 129822, 55784, 7777, 125202, 128415, 97610, 128529, 139831, 220, 18, 128568, 128290, 220, 17, 15, 16, 15, 11, 132356, 130660, 128560, 131537, 63478, 130660, 128411, 11, 130314, 2162, 78, 128380, 128375, 128529, 129528, 47742, 128423, 128432, 128623, 128285, 128415, 62572, 97610, 11, 128830, 128507, 128322, 133795, 61758, 128585, 128415, 62572, 97610, 128249, 128328, 128319, 128356, 624, 47978, 88602, 130509, 130179, 128338, 128529, 129528, 128415, 97610, 624, 1143, 42504, 132630, 128564, 136856, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 137429, 128818, 129270, 128356, 128415, 62572, 97610, 37915, 128333, 128846, 128311, 95082, 128906, 128738, 922, 276, 128550, 69086, 129009, 136312, 128362, 128531, 128750, 128301, 94995, 72, 130393, 220, 16, 15, 128290, 128447, 13, 130629, 128490, 11, 128495, 130361, 129009, 136312, 128360, 63478, 128277, 132972, 129748, 11, 128573, 128281, 2162, 78, 59735, 78228, 128376, 11, 129857, 128542, 922, 276, 47742, 129029, 128534, 137048, 131969, 128424, 77374, 11, 128643, 132314, 133784, 132972, 142226, 136312, 69086, 94995, 72, 130393, 220, 16, 15, 128290, 128447, 11, 28776, 134059, 128780, 128263, 220, 17, 15, 18, 15, 624, 3357, 1794, 130390, 131943, 129480, 128431, 128322, 922, 276, 773, 49886, 132972, 130623, 39339, 11, 128266, 129398, 128336, 129916, 129270, 128356, 128415, 62572, 97610, 128283, 308, 352, 11, 128281, 37915, 128283, 129916, 78228, 129857, 61758, 128415, 97610, 11, 128322, 133795, 62572, 132539, 130232, 128270, 11, 128930, 15122, 63478, 128333, 128846, 521, 2185, 128260, 128289, 128427, 128285, 128334, 132314, 130179, 128338, 128529, 129528, 128415, 97610, 79668, 128417, 129551, 128277, 128362, 128531, 128319, 128356, 129181, 131149, 129922, 47742, 131149, 131307, 11, 128727, 129367, 129922, 126370, 130179, 128415, 97610, 11, 128727, 129407, 128550, 130314, 2162, 78, 128380, 128375, 47742, 128423, 128432, 11, 128362, 128531, 128415, 97610, 135268, 135584, 624, 35, 61031, 132972, 128268, 128360, 128553, 489, 2185, 128266, 129398, 78228, 922, 276, 128406, 128427, 128854, 69086, 128362, 128531, 78228, 131270, 11, 128387, 61758, 128415, 97610, 128427, 129553, 11, 128362, 128531, 126260, 128331, 11, 128333, 128846, 62572, 97610, 279, 78, 78228, 128387, 61758, 11, 126260, 128331, 62572, 97610, 13, 135359, 128589, 37915, 128943, 128855, 78228, 131270, 128486, 128513, 128336, 128283, 129009, 136312, 11, 94576, 128362, 128531, 85636, 128415, 11, 128830, 128507, 128322, 133795, 128415, 97610, 11, 128362, 128531, 128560, 131537, 11, 128643, 130509, 128457, 128573, 128311, 95082, 128556, 128311, 129913, 128284, 11, 128278, 128379, 131140, 131520, 128263, 129270, 128356, 62572, 97610, 345, 3357, 1794, 130390, 131943, 128268, 342, 22516, 129029, 128534, 137048, 128943, 128855, 730, 26068, 130361, 128373, 128285, 79668, 128981, 129029, 11, 128981, 129857, 128336, 128283, 64061, 62029, 78228, 129203, 128575, 59735, 142226, 136312, 94994, 63478, 129591, 130388, 134634, 141840, 1725, 624, 20897, 124527, 8564, 71, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 55, 84, 51358, 62572, 97610, 128846, 86139, 129009, 136312, 92105, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 33282, 124477, 220, 17, 14, 16, 16, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128427, 132630, 128564, 136856, 128250, 78228, 129029, 11, 129857, 128542, 922, 276, 129263, 128373, 129822, 128403, 128401, 129054, 128419, 128338, 128415, 62572, 97610, 128327, 128880, 220, 17, 15, 15, 16, 12, 17, 15, 16, 15, 79668, 128943, 128855, 142226, 136312, 128415, 62572, 97610, 128327, 128880, 92105, 11, 220, 17, 15, 16, 16, 12, 17, 15, 17, 15, 624, 126884, 16719, 25, 910, 20868, 759, 84, 75157, 624, 53, 125997, 98127, 128575, 128415, 97610, 624, 785, 78, 129029, 128534, 137048, 11, 69086, 94995, 72, 130393, 220, 16, 15, 128290, 73525, 11, 128529, 129528, 128415, 97610, 61758, 128585, 132629, 129203, 128575, 129009, 136312, 128250, 129240, 128529, 128823, 129866, 220, 16, 22, 11, 19, 17, 53381, 77, 77354, 320, 331, 71179, 128575, 220, 16, 20, 53381, 77, 77354, 8, 47742, 2162, 78, 139831, 220, 17, 11, 19, 128568, 137627, 79, 128368, 128529, 29730, 624, 51, 124185, 220, 19, 128387, 61758, 128415, 97610, 28776, 128309, 128466, 128273, 220, 16, 129427, 19551, 128290, 220, 17, 15, 15, 16, 128263, 308, 352, 79126, 128362, 128531, 128350, 220, 16, 23, 128387, 61758, 128415, 97610, 128427, 128599, 47742, 128336, 128283, 64061, 62029, 128249, 65526, 23165, 124692, 14854, 94313, 129108, 128529, 129528, 128415, 97610, 128387, 61758, 92105, 13, 130934, 128331, 128415, 97610, 61758, 128585, 128300, 129357, 63478, 129367, 129922, 47742, 128907, 130249, 11, 94576, 220, 16, 21, 15, 126260, 128331, 128350, 220, 17, 18, 17, 126260, 128331, 11, 130203, 128278, 129207, 128980, 63478, 128249, 65526, 126260, 128331, 128421, 128400, 128319, 128400, 128401, 129054, 11, 128421, 128400, 129009, 136312, 624, 79759, 36745, 97610, 61758, 128585, 128529, 129528, 2162, 78, 11, 130925, 128740, 63478, 141580, 128451, 129031, 128452, 128853, 88057, 11, 128392, 140703, 11, 128422, 128279, 47742, 61758, 128585, 128904, 128367, 85636, 128415, 47742, 128415, 97610, 11, 130925, 128740, 141580, 128451, 128575, 128469, 78228, 128387, 61758, 128422, 129553, 59735, 128394, 129447, 624, 33, 27021, 129623, 128270, 11, 128419, 128338, 128415, 62572, 97610, 128327, 342, 1103, 73525, 128268, 293, 124510, 130540, 128249, 65526, 129572, 128751, 11, 137106, 128272, 13, 3406, 88, 130179, 128415, 97610, 128320, 128821, 11, 128380, 128375, 128529, 129528, 47742, 128423, 128432, 128415, 97610, 128651, 2162, 78, 13, 134695, 133795, 61758, 128585, 128415, 97610, 128830, 128507, 138117, 47742, 128651, 128336, 128277, 128319, 128356, 13, 350, 127316, 130554, 62572, 132539, 128320, 2162, 78, 47742, 128380, 128375, 128529, 129528, 62572, 97610, 132058, 13, 910, 92358, 23165, 2143, 133457, 128418, 78228, 128322, 128410, 47742, 128320, 130502, 128427, 128285, 69086, 128289, 129572, 128751, 78228, 270, 53061, 128482, 653, 128410, 62572, 128664, 128384, 11, 129363, 128365, 128740, 142267, 128250, 128871, 128285, 59735, 126260, 128331, 128314, 128449, 128320, 128271, 129572, 128751, 624, 2183, 64, 129036, 128761, 128336, 129916, 47742, 293, 87939, 129111, 128419, 128338, 128664, 128384, 11, 69086, 128301, 11, 78228, 128275, 130361, 128333, 128348, 128943, 128855, 128495, 130361, 131763, 142094, 129507, 128263, 128290, 220, 17, 15, 17, 15, 128930, 128324, 16449, 128570, 64061, 128249, 128301, 28776, 131167, 130906, 128560, 128362, 128531, 11, 129822, 55784, 7777, 125202, 128415, 97610, 128529, 139831, 220, 18, 128568, 128290, 220, 17, 15, 16, 15, 11, 132356, 130660, 128560, 131537, 63478, 130660, 128411, 11, 130314, 2162, 78, 128380, 128375, 128529, 129528, 47742, 128423, 128432, 128623, 128285, 128415, 62572, 97610, 11, 128830, 128507, 128322, 133795, 61758, 128585, 128415, 62572, 97610, 128249, 128328, 128319, 128356, 624, 47978, 88602, 130509, 130179, 128338, 128529, 129528, 128415, 97610, 624, 1143, 42504, 132630, 128564, 136856, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 137429, 128818, 129270, 128356, 128415, 62572, 97610, 37915, 128333, 128846, 128311, 95082, 128906, 128738, 922, 276, 128550, 69086, 129009, 136312, 128362, 128531, 128750, 128301, 94995, 72, 130393, 220, 16, 15, 128290, 128447, 13, 130629, 128490, 11, 128495, 130361, 129009, 136312, 128360, 63478, 128277, 132972, 129748, 11, 128573, 128281, 2162, 78, 59735, 78228, 128376, 11, 129857, 128542, 922, 276, 47742, 129029, 128534, 137048, 131969, 128424, 77374, 11, 128643, 132314, 133784, 132972, 142226, 136312, 69086, 94995, 72, 130393, 220, 16, 15, 128290, 128447, 11, 28776, 134059, 128780, 128263, 220, 17, 15, 18, 15, 624, 3357, 1794, 130390, 131943, 129480, 128431, 128322, 922, 276, 773, 49886, 132972, 130623, 39339, 11, 128266, 129398, 128336, 129916, 129270, 128356, 128415, 62572, 97610, 128283, 308, 352, 11, 128281, 37915, 128283, 129916, 78228, 129857, 61758, 128415, 97610, 11, 128322, 133795, 62572, 132539, 130232, 128270, 11, 128930, 15122, 63478, 128333, 128846, 521, 2185, 128260, 128289, 128427, 128285, 128334, 132314, 130179, 128338, 128529, 129528, 128415, 97610, 79668, 128417, 129551, 128277, 128362, 128531, 128319, 128356, 129181, 131149, 129922, 47742, 131149, 131307, 11, 128727, 129367, 129922, 126370, 130179, 128415, 97610, 11, 128727, 129407, 128550, 130314, 2162, 78, 128380, 128375, 47742, 128423, 128432, 11, 128362, 128531, 128415, 97610, 135268, 135584, 624, 35, 61031, 132972, 128268, 128360, 128553, 489, 2185, 128266, 129398, 78228, 922, 276, 128406, 128427, 128854, 69086, 128362, 128531, 78228, 131270, 11, 128387, 61758, 128415, 97610, 128427, 129553, 11, 128362, 128531, 126260, 128331, 11, 128333, 128846, 62572, 97610, 279, 78, 78228, 128387, 61758, 11, 126260, 128331, 62572, 97610, 13, 135359, 128589, 37915, 128943, 128855, 78228, 131270, 128486, 128513, 128336, 128283, 129009, 136312, 11, 94576, 128362, 128531, 85636, 128415, 11, 128830, 128507, 128322, 133795, 128415, 97610, 11, 128362, 128531, 128560, 131537, 11, 128643, 130509, 128457, 128573, 128311, 95082, 128556, 128311, 129913, 128284, 11, 128278, 128379, 131140, 131520, 128263, 129270, 128356, 62572, 97610, 345, 3357, 1794, 130390, 131943, 128268, 342, 22516, 129029, 128534, 137048, 128943, 128855, 730, 26068, 130361, 128373, 128285, 79668, 128981, 129029, 11, 128981, 129857, 128336, 128283, 64061, 62029, 78228, 129203, 128575, 59735, 142226, 136312, 94994, 63478, 129591, 130388, 134634, 141840, 1725, 624, 20897, 124527, 8564, 71, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936 ]
937
[ 1001, 35928, 128331, 128424, 128884, 128757, 128406, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 1163, 644, 133234, 342, 22516, 128507, 128278, 130681, 92105, 320, 16, 19, 14, 19, 701, 97507, 12, 1552, 128424, 128884, 128757, 128622, 220, 19, 11, 19, 21, 128406, 11, 128311, 128482, 138559, 71800, 7777, 126726, 220, 21, 15, 15, 128406, 624, 40225, 70680, 126260, 279, 78, 128327, 342, 1103, 128336, 2600, 128391, 125440, 97507, 12, 1552, 47742, 472, 43304, 12, 1552, 128582, 128529, 128406, 128269, 129168, 128327, 342, 1103, 128278, 133234, 128688, 13, 15392, 124843, 133234, 128688, 11, 129240, 128529, 59735, 98127, 65526, 128311, 128273, 136071, 350, 10842, 9985, 128757, 134724, 128320, 136071, 128521, 128685, 79126, 136978, 86139, 128419, 129916, 128757, 128406, 13, 129840, 128263, 138405, 129742, 133234, 128688, 11, 97507, 12, 1552, 47742, 472, 43304, 12, 1552, 128329, 137634, 131928, 128406, 47742, 28240, 133234, 131149, 11, 46051, 98127, 65526, 79126, 128340, 20303, 2863, 128422, 128980, 129240, 128406, 132058, 128281, 69086, 128300, 624, 1001, 35928, 128331, 130889, 129137, 11, 97507, 12, 1552, 138251, 85852, 128269, 296, 124504, 128406, 220, 20, 24, 21, 11, 16, 16, 26, 128757, 220, 19, 11, 19, 21, 128406, 320, 15, 11, 22, 19, 52072, 130017, 135836, 128375, 129057, 137535, 63478, 342, 22516, 128507, 129664, 220, 16, 17, 23, 11, 15, 23, 129077, 128666, 128444, 11, 129509, 128740, 128250, 128309, 128466, 220, 17, 13, 20, 23, 22, 11, 17, 19, 129427, 128329, 13, 134175, 58865, 128529, 128309, 11, 128757, 128309, 47742, 130719, 128309, 270, 309, 135714, 128568, 134628, 37915, 220, 21, 17, 11, 220, 16, 21, 23, 47742, 220, 20, 18, 624, 33, 27021, 136071, 128521, 128685, 11, 472, 43304, 12, 1552, 521, 125456, 133234, 128272, 220, 23, 21, 11, 22, 24, 128406, 26, 128757, 220, 15, 11, 21, 24, 128406, 320, 15, 11, 22, 24, 52072, 130017, 1091, 71, 130042, 128401, 136071, 129664, 220, 21, 16, 11, 15, 16, 129077, 128666, 128444, 11, 129509, 138051, 128250, 128309, 128466, 220, 22, 18, 21, 11, 17, 17, 129427, 128329, 13, 134175, 58865, 128529, 128309, 11, 128757, 128309, 47742, 130719, 128309, 270, 309, 135714, 37915, 220, 18, 24, 11, 220, 16, 16, 16, 47742, 220, 17, 17, 21, 624, 45, 92599, 98127, 128780, 86139, 65526, 128375, 78228, 129057, 137535, 128757, 128309, 79668, 131881, 773, 274, 124415, 128250, 65526, 129057, 137535, 128529, 128309, 69086, 133234, 130535, 308, 352, 11, 128271, 128251, 128267, 2600, 128640, 130483, 128314, 69086, 133234, 79126, 128643, 128401, 129281, 128265, 128608, 128627, 13, 350, 4076, 128452, 11, 128725, 128260, 279, 78, 136753, 128960, 128871, 141710, 139081, 129705, 128254, 47742, 128403, 128319, 128622, 129913, 128423, 128265, 129822, 1091, 71, 130042, 128273, 136071, 17275, 925, 128291, 128487, 28776, 53037, 129530, 128431, 128935, 2600, 128640, 11, 128269, 133234, 96535, 128608, 296, 4284, 79126, 128623, 128285, 129509, 128421, 128818, 47742, 128427, 128285, 11, 128281, 37915, 86139, 128253, 128327, 128406, 126260, 128331, 128757, 131307, 624, 33, 125571, 128378, 128273, 128336, 128384, 11, 32154, 94994, 130889, 129137, 128272, 129240, 128406, 220, 21, 15, 18, 11, 18, 128269, 133234, 220, 15, 23, 14, 15, 19, 128291, 97507, 12, 1552, 79126, 28776, 220, 17, 133234, 128334, 132314, 128542, 128884, 13, 41016, 46051, 133234, 128260, 128490, 11, 128309, 59735, 53037, 129530, 58865, 128267, 128757, 129509, 128421, 773, 128250, 128371, 13, 138465, 128622, 128250, 129240, 274, 50483, 83, 128757, 59735, 133234, 130535, 308, 352, 79126, 131021, 133600, 128373, 128285, 128802, 129411, 88, 59735, 78228, 128275, 128278, 128379, 28776, 129363, 128365, 129949, 435, 42504, 72, 926, 2162, 78, 47742, 220, 92358, 296, 88316, 131491, 624, 79759, 49980, 129057, 137535, 128529, 128309, 133234, 96535, 128427, 129553, 37915, 128253, 58865, 28776, 126258, 128603, 128265, 128403, 128432, 595, 20868, 653, 27924, 69086, 129681, 358, 128271, 129363, 922, 276, 128475, 28776, 78228, 24790, 128418, 129481, 128886, 13, 22325, 124634, 129626, 128281, 28776, 128254, 130291, 128263, 37915, 32975, 38, 11, 434, 8556, 11, 434, 2828, 11, 472, 46641, 11, 350, 9985, 128272, 136071, 350, 10842, 9985, 47742, 422, 6412, 11, 7456, 11, 8030, 24, 11, 8030, 51, 128608, 136071, 128521, 128685, 624, 1282, 644, 128300, 128311, 128482, 128570, 85852, 11, 444, 8798, 79126, 128425, 128317, 128249, 220, 124644, 129014, 128818, 137125, 2600, 78228, 128275, 128278, 128379, 94994, 128529, 142035, 69086, 128463, 128465, 128327, 342, 1103, 59735, 133234, 13, 350, 4076, 128452, 11, 28776, 128249, 130575, 128633, 132132, 128821, 79126, 274, 127200, 15122, 94994, 69086, 133234, 7369, 34, 129470, 128599, 272, 2185, 63478, 128529, 132300, 128266, 2600, 128309, 130889, 129137, 59735, 444, 8798, 53037, 128320, 128269, 129240, 128309, 142035, 13, 220, 132774, 128327, 128406, 128283, 128272, 11, 444, 8798, 28776, 128309, 220, 23, 13, 18, 15, 15, 128329, 2899, 60257, 137535, 11, 129822, 135836, 128375, 129057, 137535, 63478, 342, 22516, 128507, 133234, 96535, 129664, 220, 18, 11, 17, 18, 129077, 128666, 128444, 624, 26067, 71, 130042, 128465, 128281, 128273, 136071, 350, 10842, 9985, 133234, 96535, 129281, 128265, 129057, 137535, 434, 8556, 128250, 220, 23, 11, 19, 24, 129077, 128666, 128444, 63478, 128830, 20303, 98210, 13, 350, 85375, 128377, 128260, 128490, 11, 128608, 136071, 128521, 128685, 11, 129057, 137535, 129566, 128444, 128597, 96535, 37915, 37864, 55, 128250, 220, 21, 11, 16, 18, 129077, 128666, 128444, 13, 132809, 342, 1103, 141710, 139081, 128311, 128482, 128403, 133600, 11, 37864, 55, 138251, 85852, 128269, 129240, 128309, 270, 309, 135714, 37915, 220, 21, 13, 17, 15, 15, 128329, 2899, 60257, 137535, 13, 50327, 124397, 129407, 128431, 11, 69086, 133234, 11, 79126, 28776, 128253, 128327, 128406, 128309, 141710, 139081, 59735, 58865, 96535, 128529, 128350, 129240, 220, 21, 13, 20, 15, 15, 128329, 14, 50996, 67657, 128444, 624, 39, 6362, 128984, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 35928, 128331, 128424, 128884, 128757, 128406, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 1163, 644, 133234, 342, 22516, 128507, 128278, 130681, 92105, 320, 16, 19, 14, 19, 701, 97507, 12, 1552, 128424, 128884, 128757, 128622, 220, 19, 11, 19, 21, 128406, 11, 128311, 128482, 138559, 71800, 7777, 126726, 220, 21, 15, 15, 128406, 624, 40225, 70680, 126260, 279, 78, 128327, 342, 1103, 128336, 2600, 128391, 125440, 97507, 12, 1552, 47742, 472, 43304, 12, 1552, 128582, 128529, 128406, 128269, 129168, 128327, 342, 1103, 128278, 133234, 128688, 13, 15392, 124843, 133234, 128688, 11, 129240, 128529, 59735, 98127, 65526, 128311, 128273, 136071, 350, 10842, 9985, 128757, 134724, 128320, 136071, 128521, 128685, 79126, 136978, 86139, 128419, 129916, 128757, 128406, 13, 129840, 128263, 138405, 129742, 133234, 128688, 11, 97507, 12, 1552, 47742, 472, 43304, 12, 1552, 128329, 137634, 131928, 128406, 47742, 28240, 133234, 131149, 11, 46051, 98127, 65526, 79126, 128340, 20303, 2863, 128422, 128980, 129240, 128406, 132058, 128281, 69086, 128300, 624, 1001, 35928, 128331, 130889, 129137, 11, 97507, 12, 1552, 138251, 85852, 128269, 296, 124504, 128406, 220, 20, 24, 21, 11, 16, 16, 26, 128757, 220, 19, 11, 19, 21, 128406, 320, 15, 11, 22, 19, 52072, 130017, 135836, 128375, 129057, 137535, 63478, 342, 22516, 128507, 129664, 220, 16, 17, 23, 11, 15, 23, 129077, 128666, 128444, 11, 129509, 128740, 128250, 128309, 128466, 220, 17, 13, 20, 23, 22, 11, 17, 19, 129427, 128329, 13, 134175, 58865, 128529, 128309, 11, 128757, 128309, 47742, 130719, 128309, 270, 309, 135714, 128568, 134628, 37915, 220, 21, 17, 11, 220, 16, 21, 23, 47742, 220, 20, 18, 624, 33, 27021, 136071, 128521, 128685, 11, 472, 43304, 12, 1552, 521, 125456, 133234, 128272, 220, 23, 21, 11, 22, 24, 128406, 26, 128757, 220, 15, 11, 21, 24, 128406, 320, 15, 11, 22, 24, 52072, 130017, 1091, 71, 130042, 128401, 136071, 129664, 220, 21, 16, 11, 15, 16, 129077, 128666, 128444, 11, 129509, 138051, 128250, 128309, 128466, 220, 22, 18, 21, 11, 17, 17, 129427, 128329, 13, 134175, 58865, 128529, 128309, 11, 128757, 128309, 47742, 130719, 128309, 270, 309, 135714, 37915, 220, 18, 24, 11, 220, 16, 16, 16, 47742, 220, 17, 17, 21, 624, 45, 92599, 98127, 128780, 86139, 65526, 128375, 78228, 129057, 137535, 128757, 128309, 79668, 131881, 773, 274, 124415, 128250, 65526, 129057, 137535, 128529, 128309, 69086, 133234, 130535, 308, 352, 11, 128271, 128251, 128267, 2600, 128640, 130483, 128314, 69086, 133234, 79126, 128643, 128401, 129281, 128265, 128608, 128627, 13, 350, 4076, 128452, 11, 128725, 128260, 279, 78, 136753, 128960, 128871, 141710, 139081, 129705, 128254, 47742, 128403, 128319, 128622, 129913, 128423, 128265, 129822, 1091, 71, 130042, 128273, 136071, 17275, 925, 128291, 128487, 28776, 53037, 129530, 128431, 128935, 2600, 128640, 11, 128269, 133234, 96535, 128608, 296, 4284, 79126, 128623, 128285, 129509, 128421, 128818, 47742, 128427, 128285, 11, 128281, 37915, 86139, 128253, 128327, 128406, 126260, 128331, 128757, 131307, 624, 33, 125571, 128378, 128273, 128336, 128384, 11, 32154, 94994, 130889, 129137, 128272, 129240, 128406, 220, 21, 15, 18, 11, 18, 128269, 133234, 220, 15, 23, 14, 15, 19, 128291, 97507, 12, 1552, 79126, 28776, 220, 17, 133234, 128334, 132314, 128542, 128884, 13, 41016, 46051, 133234, 128260, 128490, 11, 128309, 59735, 53037, 129530, 58865, 128267, 128757, 129509, 128421, 773, 128250, 128371, 13, 138465, 128622, 128250, 129240, 274, 50483, 83, 128757, 59735, 133234, 130535, 308, 352, 79126, 131021, 133600, 128373, 128285, 128802, 129411, 88, 59735, 78228, 128275, 128278, 128379, 28776, 129363, 128365, 129949, 435, 42504, 72, 926, 2162, 78, 47742, 220, 92358, 296, 88316, 131491, 624, 79759, 49980, 129057, 137535, 128529, 128309, 133234, 96535, 128427, 129553, 37915, 128253, 58865, 28776, 126258, 128603, 128265, 128403, 128432, 595, 20868, 653, 27924, 69086, 129681, 358, 128271, 129363, 922, 276, 128475, 28776, 78228, 24790, 128418, 129481, 128886, 13, 22325, 124634, 129626, 128281, 28776, 128254, 130291, 128263, 37915, 32975, 38, 11, 434, 8556, 11, 434, 2828, 11, 472, 46641, 11, 350, 9985, 128272, 136071, 350, 10842, 9985, 47742, 422, 6412, 11, 7456, 11, 8030, 24, 11, 8030, 51, 128608, 136071, 128521, 128685, 624, 1282, 644, 128300, 128311, 128482, 128570, 85852, 11, 444, 8798, 79126, 128425, 128317, 128249, 220, 124644, 129014, 128818, 137125, 2600, 78228, 128275, 128278, 128379, 94994, 128529, 142035, 69086, 128463, 128465, 128327, 342, 1103, 59735, 133234, 13, 350, 4076, 128452, 11, 28776, 128249, 130575, 128633, 132132, 128821, 79126, 274, 127200, 15122, 94994, 69086, 133234, 7369, 34, 129470, 128599, 272, 2185, 63478, 128529, 132300, 128266, 2600, 128309, 130889, 129137, 59735, 444, 8798, 53037, 128320, 128269, 129240, 128309, 142035, 13, 220, 132774, 128327, 128406, 128283, 128272, 11, 444, 8798, 28776, 128309, 220, 23, 13, 18, 15, 15, 128329, 2899, 60257, 137535, 11, 129822, 135836, 128375, 129057, 137535, 63478, 342, 22516, 128507, 133234, 96535, 129664, 220, 18, 11, 17, 18, 129077, 128666, 128444, 624, 26067, 71, 130042, 128465, 128281, 128273, 136071, 350, 10842, 9985, 133234, 96535, 129281, 128265, 129057, 137535, 434, 8556, 128250, 220, 23, 11, 19, 24, 129077, 128666, 128444, 63478, 128830, 20303, 98210, 13, 350, 85375, 128377, 128260, 128490, 11, 128608, 136071, 128521, 128685, 11, 129057, 137535, 129566, 128444, 128597, 96535, 37915, 37864, 55, 128250, 220, 21, 11, 16, 18, 129077, 128666, 128444, 13, 132809, 342, 1103, 141710, 139081, 128311, 128482, 128403, 133600, 11, 37864, 55, 138251, 85852, 128269, 129240, 128309, 270, 309, 135714, 37915, 220, 21, 13, 17, 15, 15, 128329, 2899, 60257, 137535, 13, 50327, 124397, 129407, 128431, 11, 69086, 133234, 11, 79126, 28776, 128253, 128327, 128406, 128309, 141710, 139081, 59735, 58865, 96535, 128529, 128350, 129240, 220, 21, 13, 20, 15, 15, 128329, 14, 50996, 67657, 128444, 624, 39, 6362, 128984, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908 ]
909
[ 35544, 124382, 29974, 521, 685, 129958, 134666, 775, 138039, 521, 2185, 128265, 7777, 4076, 128322, 139235, 128888, 134761, 128310, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 663, 309, 129748, 128272, 129935, 130097, 663, 98210, 140868, 458, 19550, 71, 134761, 128310, 128272, 17275, 64, 133169, 11, 130390, 131943, 128984, 350, 124644, 142840, 136732, 128333, 128324, 29974, 521, 685, 129958, 134666, 775, 138039, 521, 2185, 59735, 130700, 128329, 128664, 128384, 128265, 7777, 4076, 128322, 139235, 128888, 134761, 128310, 47742, 128350, 128595, 78228, 128373, 128285, 139235, 128888, 129227, 128728, 128338, 128482, 624, 50, 124397, 220, 16, 18, 14, 19, 320, 8212, 76294, 128324, 29974, 701, 131400, 128854, 78228, 128664, 94995, 270, 309, 126258, 129935, 130097, 663, 98210, 140868, 458, 19550, 71, 134761, 128310, 128272, 17275, 64, 133169, 128802, 128278, 132972, 129748, 128250, 128427, 128456, 386, 87939, 14854, 68, 294, 41603, 64, 139235, 128888, 134761, 128310, 13, 130390, 131943, 128984, 350, 124644, 142840, 128340, 132019, 128799, 47742, 130390, 131943, 78228, 128301, 17275, 64, 133169, 11, 132034, 11, 129898, 11, 129938, 11, 130951, 22730, 451, 4223, 11, 663, 60257, 90453, 124536, 133169, 11, 128324, 29974, 11, 128521, 34782, 26, 130017, 138532, 129212, 82763, 48, 50996, 3202, 270, 309, 126258, 133234, 132972, 129748, 96535, 13, 32580, 128640, 134666, 14854, 68, 294, 41603, 64, 139235, 128888, 134761, 128310, 37915, 53037, 128282, 71800, 135421, 126199, 128348, 136855, 595, 39938, 11, 14854, 68, 294, 41603, 64, 129202, 125440, 78228, 128301, 130291, 125440, 128301, 128362, 128531, 47742, 128348, 128362, 128531, 11, 130017, 128573, 17275, 64, 133169, 23539, 7105, 137429, 128818, 458, 19550, 71, 134761, 128310, 37915, 128580, 128456, 126199, 78228, 128301, 128360, 128282, 128340, 521, 685, 129958, 13, 84137, 130017, 128573, 451, 6743, 3264, 2066, 5120, 11, 28776, 134666, 128542, 128457, 137277, 521, 124760, 129181, 14854, 68, 294, 41603, 64, 59735, 139235, 128888, 134761, 128310, 47742, 458, 19550, 71, 134761, 128310, 13, 130390, 131943, 129898, 130164, 21341, 2253, 3029, 595, 124634, 129349, 64061, 128980, 922, 125093, 129481, 128886, 127980, 128978, 128282, 128421, 142267, 128250, 458, 19550, 71, 134761, 128310, 13, 129005, 65526, 128275, 131400, 128854, 128354, 137429, 128818, 11, 458, 19550, 71, 134761, 128310, 129357, 128360, 128282, 63478, 922, 276, 128396, 653, 129363, 128365, 78228, 135343, 129019, 11, 128853, 88057, 11, 62029, 128781, 134761, 128310, 28776, 128254, 136978, 86139, 259, 352, 78228, 128421, 129014, 22693, 128275, 128301, 128475, 78228, 128664, 94995, 28776, 270, 309, 130949, 128362, 128531, 135343, 129019, 134761, 128310, 79126, 128570, 64061, 7777, 4076, 128322, 128283, 129347, 13, 663, 309, 129748, 128272, 129935, 130097, 11, 130390, 131943, 128984, 350, 124644, 142840, 521, 685, 129958, 134666, 775, 138039, 521, 2185, 59735, 130700, 128329, 128664, 128384, 128265, 7777, 4076, 128322, 139235, 128888, 134761, 128310, 11, 653, 128270, 128360, 28776, 78228, 137261, 128513, 128740, 142267, 128423, 128432, 79668, 128417, 129551, 458, 19550, 71, 134761, 128310, 13, 130390, 131943, 136732, 128333, 11, 128324, 29974, 128350, 128595, 128253, 128373, 128285, 139235, 128888, 129227, 128728, 128338, 128482, 11, 141718, 126469, 128818, 137125, 78228, 308, 71431, 128599, 129455, 139235, 128888, 59735, 130700, 128329, 128664, 128384, 128273, 128322, 128760, 134342, 128550, 129963, 128513, 128664, 128384, 47742, 21018, 70248, 129784, 82763, 48, 13, 130390, 131943, 128984, 350, 124644, 142840, 2600, 128345, 25, 136786, 128513, 128324, 29974, 28776, 128271, 126370, 128333, 128265, 128417, 129551, 458, 128401, 11, 458, 19550, 71, 134761, 128310, 11, 134168, 272, 126424, 78228, 128373, 128285, 1031, 61452, 128627, 128633, 128319, 128513, 78228, 128853, 88057, 79668, 85636, 128415, 135343, 129019, 143010, 1853, 124382, 61758, 137634, 11, 69086, 128270, 28776, 135343, 129019, 134761, 128310, 13, 130717, 128327, 11, 128324, 29974, 1062, 72, 128550, 128289, 94995, 62572, 78228, 128334, 220, 124603, 128664, 128384, 11, 128761, 129541, 270, 309, 94995, 78228, 128623, 128285, 5492, 128675, 47742, 128907, 128675, 128265, 129455, 139235, 128888, 13, 130526, 130314, 2162, 78, 128423, 128432, 59735, 128319, 128400, 128664, 128384, 129455, 139235, 128888, 11, 130390, 131943, 128984, 350, 124644, 142840, 128268, 128456, 130097, 128360, 922, 276, 128396, 128304, 128870, 128289, 129481, 128886, 78228, 128301, 28776, 128498, 128451, 69086, 128531, 23165, 2143, 78228, 137261, 128513, 129455, 139235, 128888, 11, 128417, 129551, 458, 19550, 71, 134761, 128310, 1725, 13, 128324, 130215, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35544, 124382, 29974, 521, 685, 129958, 134666, 775, 138039, 521, 2185, 128265, 7777, 4076, 128322, 139235, 128888, 134761, 128310, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 663, 309, 129748, 128272, 129935, 130097, 663, 98210, 140868, 458, 19550, 71, 134761, 128310, 128272, 17275, 64, 133169, 11, 130390, 131943, 128984, 350, 124644, 142840, 136732, 128333, 128324, 29974, 521, 685, 129958, 134666, 775, 138039, 521, 2185, 59735, 130700, 128329, 128664, 128384, 128265, 7777, 4076, 128322, 139235, 128888, 134761, 128310, 47742, 128350, 128595, 78228, 128373, 128285, 139235, 128888, 129227, 128728, 128338, 128482, 624, 50, 124397, 220, 16, 18, 14, 19, 320, 8212, 76294, 128324, 29974, 701, 131400, 128854, 78228, 128664, 94995, 270, 309, 126258, 129935, 130097, 663, 98210, 140868, 458, 19550, 71, 134761, 128310, 128272, 17275, 64, 133169, 128802, 128278, 132972, 129748, 128250, 128427, 128456, 386, 87939, 14854, 68, 294, 41603, 64, 139235, 128888, 134761, 128310, 13, 130390, 131943, 128984, 350, 124644, 142840, 128340, 132019, 128799, 47742, 130390, 131943, 78228, 128301, 17275, 64, 133169, 11, 132034, 11, 129898, 11, 129938, 11, 130951, 22730, 451, 4223, 11, 663, 60257, 90453, 124536, 133169, 11, 128324, 29974, 11, 128521, 34782, 26, 130017, 138532, 129212, 82763, 48, 50996, 3202, 270, 309, 126258, 133234, 132972, 129748, 96535, 13, 32580, 128640, 134666, 14854, 68, 294, 41603, 64, 139235, 128888, 134761, 128310, 37915, 53037, 128282, 71800, 135421, 126199, 128348, 136855, 595, 39938, 11, 14854, 68, 294, 41603, 64, 129202, 125440, 78228, 128301, 130291, 125440, 128301, 128362, 128531, 47742, 128348, 128362, 128531, 11, 130017, 128573, 17275, 64, 133169, 23539, 7105, 137429, 128818, 458, 19550, 71, 134761, 128310, 37915, 128580, 128456, 126199, 78228, 128301, 128360, 128282, 128340, 521, 685, 129958, 13, 84137, 130017, 128573, 451, 6743, 3264, 2066, 5120, 11, 28776, 134666, 128542, 128457, 137277, 521, 124760, 129181, 14854, 68, 294, 41603, 64, 59735, 139235, 128888, 134761, 128310, 47742, 458, 19550, 71, 134761, 128310, 13, 130390, 131943, 129898, 130164, 21341, 2253, 3029, 595, 124634, 129349, 64061, 128980, 922, 125093, 129481, 128886, 127980, 128978, 128282, 128421, 142267, 128250, 458, 19550, 71, 134761, 128310, 13, 129005, 65526, 128275, 131400, 128854, 128354, 137429, 128818, 11, 458, 19550, 71, 134761, 128310, 129357, 128360, 128282, 63478, 922, 276, 128396, 653, 129363, 128365, 78228, 135343, 129019, 11, 128853, 88057, 11, 62029, 128781, 134761, 128310, 28776, 128254, 136978, 86139, 259, 352, 78228, 128421, 129014, 22693, 128275, 128301, 128475, 78228, 128664, 94995, 28776, 270, 309, 130949, 128362, 128531, 135343, 129019, 134761, 128310, 79126, 128570, 64061, 7777, 4076, 128322, 128283, 129347, 13, 663, 309, 129748, 128272, 129935, 130097, 11, 130390, 131943, 128984, 350, 124644, 142840, 521, 685, 129958, 134666, 775, 138039, 521, 2185, 59735, 130700, 128329, 128664, 128384, 128265, 7777, 4076, 128322, 139235, 128888, 134761, 128310, 11, 653, 128270, 128360, 28776, 78228, 137261, 128513, 128740, 142267, 128423, 128432, 79668, 128417, 129551, 458, 19550, 71, 134761, 128310, 13, 130390, 131943, 136732, 128333, 11, 128324, 29974, 128350, 128595, 128253, 128373, 128285, 139235, 128888, 129227, 128728, 128338, 128482, 11, 141718, 126469, 128818, 137125, 78228, 308, 71431, 128599, 129455, 139235, 128888, 59735, 130700, 128329, 128664, 128384, 128273, 128322, 128760, 134342, 128550, 129963, 128513, 128664, 128384, 47742, 21018, 70248, 129784, 82763, 48, 13, 130390, 131943, 128984, 350, 124644, 142840, 2600, 128345, 25, 136786, 128513, 128324, 29974, 28776, 128271, 126370, 128333, 128265, 128417, 129551, 458, 128401, 11, 458, 19550, 71, 134761, 128310, 11, 134168, 272, 126424, 78228, 128373, 128285, 1031, 61452, 128627, 128633, 128319, 128513, 78228, 128853, 88057, 79668, 85636, 128415, 135343, 129019, 143010, 1853, 124382, 61758, 137634, 11, 69086, 128270, 28776, 135343, 129019, 134761, 128310, 13, 130717, 128327, 11, 128324, 29974, 1062, 72, 128550, 128289, 94995, 62572, 78228, 128334, 220, 124603, 128664, 128384, 11, 128761, 129541, 270, 309, 94995, 78228, 128623, 128285, 5492, 128675, 47742, 128907, 128675, 128265, 129455, 139235, 128888, 13, 130526, 130314, 2162, 78, 128423, 128432, 59735, 128319, 128400, 128664, 128384, 129455, 139235, 128888, 11, 130390, 131943, 128984, 350, 124644, 142840, 128268, 128456, 130097, 128360, 922, 276, 128396, 128304, 128870, 128289, 129481, 128886, 78228, 128301, 28776, 128498, 128451, 69086, 128531, 23165, 2143, 78228, 137261, 128513, 129455, 139235, 128888, 11, 128417, 129551, 458, 19550, 71, 134761, 128310, 1725, 13, 128324, 130215, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668 ]
669
[ 47978, 88602, 130509, 128334, 130554, 126341, 128502, 47742, 128623, 128285, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133761, 130390, 131943, 132644, 129126, 451, 20868, 128329, 128431, 128250, 128249, 65526, 128935, 130097, 59735, 129029, 134352, 128311, 128265, 130406, 130554, 126341, 128502, 47742, 128623, 128285, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 624, 43, 9574, 342, 9574, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 624, 34, 50483, 128254, 11, 133761, 130390, 131943, 128329, 128431, 128675, 128595, 130179, 128338, 129935, 128329, 129270, 128466, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 293, 3441, 130068, 78228, 64061, 97483, 128744, 131368, 47742, 78228, 64061, 97483, 19953, 38830, 129414, 13, 129029, 134352, 128311, 856, 336, 130985, 11, 129506, 128509, 65526, 128375, 64061, 97483, 129935, 128329, 129270, 128466, 128417, 129551, 130925, 128740, 63478, 128498, 128451, 128336, 8988, 125115, 47742, 128423, 128432, 128623, 128285, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 624, 20897, 39392, 61758, 135322, 128531, 128324, 29974, 63478, 348, 352, 135578, 128376, 130498, 128272, 138737, 61758, 129645, 128301, 128324, 29974, 624, 20897, 39392, 61758, 135322, 128531, 128324, 29974, 63478, 64061, 128980, 128534, 13580, 390, 128475, 270, 309, 94995, 64061, 128980, 78228, 128534, 13580, 128542, 128403, 69086, 47742, 128703, 128301, 79668, 129270, 128356, 11, 23165, 2143, 133457, 11, 128627, 128556, 85636, 79668, 77374, 130344, 138178, 32154, 94994, 28776, 128277, 128329, 128431, 59735, 130390, 131943, 129591, 130388, 624, 3357, 1794, 130390, 131943, 128268, 128498, 128451, 129029, 134352, 128311, 130623, 39339, 126370, 128333, 128265, 128427, 128760, 129347, 47742, 128479, 129054, 128427, 128760, 129347, 129645, 128301, 128421, 128250, 138737, 61758, 135322, 128531, 128324, 29974, 69086, 126258, 132972, 130406, 130554, 624, 33, 37678, 134352, 128311, 23165, 125641, 140996, 128643, 130509, 130406, 130554, 126341, 128502, 47742, 128623, 128285, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 47742, 128603, 129410, 130390, 131943, 129591, 130388, 856, 336, 130985, 11, 128784, 128333, 69086, 128526, 220, 24, 14, 17, 15, 16, 19, 624, 1282, 124603, 128270, 11, 130390, 131943, 129591, 130388, 79126, 134634, 141840, 142226, 136312, 128362, 128531, 138737, 61758, 135322, 128531, 128324, 29974, 128263, 128290, 220, 17, 15, 17, 15, 47742, 134059, 128780, 128263, 128290, 220, 17, 15, 18, 15, 624, 785, 78, 128270, 11, 128424, 128884, 272, 128042, 129234, 47742, 128362, 128531, 138737, 61758, 135322, 128531, 128324, 29974, 37915, 131538, 61758, 128311, 95082, 59735, 129591, 130388, 128623, 128285, 53037, 128378, 129203, 128575, 128994, 141581, 279, 78, 128846, 135268, 135584, 11, 128423, 128432, 11, 129551, 128417, 129078, 128365, 128599, 79668, 128336, 128283, 128311, 95082, 129913, 128284, 128278, 128379, 11, 129913, 128284, 128415, 97610, 59735, 129645, 128301, 47742, 78228, 129414, 128367, 128354, 653, 129591, 130388, 11, 130390, 131943, 129591, 130388, 342, 22516, 11, 131072, 128463, 128336, 128283, 129009, 136312, 47742, 128495, 130361, 128362, 128531, 595, 20868, 128384, 128847, 128410, 59735, 128750, 128301, 69086, 128981, 128327, 128880, 624, 44, 92704, 128575, 129705, 128254, 128845, 15122, 37915, 133061, 128368, 128529, 129528, 129913, 128284, 94995, 72, 130393, 220, 17, 15, 16, 18, 12, 17, 15, 17, 15, 128823, 129866, 129168, 220, 16, 15, 53381, 77, 77354, 11, 279, 78, 128270, 11, 126370, 130179, 128556, 85636, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 128263, 128290, 220, 17, 15, 17, 15, 129664, 129168, 220, 20, 15, 13, 15, 15, 15, 129427, 128329, 13, 479, 685, 72, 130393, 32154, 128290, 220, 17, 15, 17, 15, 11, 133061, 128368, 128529, 129528, 129913, 128284, 63478, 129207, 128333, 129831, 128319, 128250, 128498, 128451, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 624, 3357, 276, 21018, 86882, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47978, 88602, 130509, 128334, 130554, 126341, 128502, 47742, 128623, 128285, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133761, 130390, 131943, 132644, 129126, 451, 20868, 128329, 128431, 128250, 128249, 65526, 128935, 130097, 59735, 129029, 134352, 128311, 128265, 130406, 130554, 126341, 128502, 47742, 128623, 128285, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 624, 43, 9574, 342, 9574, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 624, 34, 50483, 128254, 11, 133761, 130390, 131943, 128329, 128431, 128675, 128595, 130179, 128338, 129935, 128329, 129270, 128466, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 293, 3441, 130068, 78228, 64061, 97483, 128744, 131368, 47742, 78228, 64061, 97483, 19953, 38830, 129414, 13, 129029, 134352, 128311, 856, 336, 130985, 11, 129506, 128509, 65526, 128375, 64061, 97483, 129935, 128329, 129270, 128466, 128417, 129551, 130925, 128740, 63478, 128498, 128451, 128336, 8988, 125115, 47742, 128423, 128432, 128623, 128285, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 624, 20897, 39392, 61758, 135322, 128531, 128324, 29974, 63478, 348, 352, 135578, 128376, 130498, 128272, 138737, 61758, 129645, 128301, 128324, 29974, 624, 20897, 39392, 61758, 135322, 128531, 128324, 29974, 63478, 64061, 128980, 128534, 13580, 390, 128475, 270, 309, 94995, 64061, 128980, 78228, 128534, 13580, 128542, 128403, 69086, 47742, 128703, 128301, 79668, 129270, 128356, 11, 23165, 2143, 133457, 11, 128627, 128556, 85636, 79668, 77374, 130344, 138178, 32154, 94994, 28776, 128277, 128329, 128431, 59735, 130390, 131943, 129591, 130388, 624, 3357, 1794, 130390, 131943, 128268, 128498, 128451, 129029, 134352, 128311, 130623, 39339, 126370, 128333, 128265, 128427, 128760, 129347, 47742, 128479, 129054, 128427, 128760, 129347, 129645, 128301, 128421, 128250, 138737, 61758, 135322, 128531, 128324, 29974, 69086, 126258, 132972, 130406, 130554, 624, 33, 37678, 134352, 128311, 23165, 125641, 140996, 128643, 130509, 130406, 130554, 126341, 128502, 47742, 128623, 128285, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 47742, 128603, 129410, 130390, 131943, 129591, 130388, 856, 336, 130985, 11, 128784, 128333, 69086, 128526, 220, 24, 14, 17, 15, 16, 19, 624, 1282, 124603, 128270, 11, 130390, 131943, 129591, 130388, 79126, 134634, 141840, 142226, 136312, 128362, 128531, 138737, 61758, 135322, 128531, 128324, 29974, 128263, 128290, 220, 17, 15, 17, 15, 47742, 134059, 128780, 128263, 128290, 220, 17, 15, 18, 15, 624, 785, 78, 128270, 11, 128424, 128884, 272, 128042, 129234, 47742, 128362, 128531, 138737, 61758, 135322, 128531, 128324, 29974, 37915, 131538, 61758, 128311, 95082, 59735, 129591, 130388, 128623, 128285, 53037, 128378, 129203, 128575, 128994, 141581, 279, 78, 128846, 135268, 135584, 11, 128423, 128432, 11, 129551, 128417, 129078, 128365, 128599, 79668, 128336, 128283, 128311, 95082, 129913, 128284, 128278, 128379, 11, 129913, 128284, 128415, 97610, 59735, 129645, 128301, 47742, 78228, 129414, 128367, 128354, 653, 129591, 130388, 11, 130390, 131943, 129591, 130388, 342, 22516, 11, 131072, 128463, 128336, 128283, 129009, 136312, 47742, 128495, 130361, 128362, 128531, 595, 20868, 128384, 128847, 128410, 59735, 128750, 128301, 69086, 128981, 128327, 128880, 624, 44, 92704, 128575, 129705, 128254, 128845, 15122, 37915, 133061, 128368, 128529, 129528, 129913, 128284, 94995, 72, 130393, 220, 17, 15, 16, 18, 12, 17, 15, 17, 15, 128823, 129866, 129168, 220, 16, 15, 53381, 77, 77354, 11, 279, 78, 128270, 11, 126370, 130179, 128556, 85636, 59735, 138737, 61758, 135322, 128531, 128324, 29974, 128263, 128290, 220, 17, 15, 17, 15, 129664, 129168, 220, 20, 15, 13, 15, 15, 15, 129427, 128329, 13, 479, 685, 72, 130393, 32154, 128290, 220, 17, 15, 17, 15, 11, 133061, 128368, 128529, 129528, 129913, 128284, 63478, 129207, 128333, 129831, 128319, 128250, 128498, 128451, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 624, 3357, 276, 21018, 86882, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569 ]
570
[ 43, 36745, 142394, 8943, 129481, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 47742, 128560, 131537, 128324, 29974, 481, 42812, 78, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 128329, 128431, 128265, 129031, 135352, 64061, 128980, 142394, 8943, 129481, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 47742, 128560, 131537, 128324, 29974, 481, 42812, 78, 624, 1001, 42504, 131943, 129591, 130388, 342, 22516, 129029, 730, 26068, 130361, 47742, 137720, 128379, 489, 3441, 128726, 128534, 130734, 76, 128250, 129854, 42812, 78, 128265, 128289, 64061, 128980, 142394, 8943, 128273, 47742, 128498, 128451, 129029, 128427, 132630, 11, 131628, 128319, 128250, 78228, 128322, 922, 276, 128542, 922, 276, 128361, 130390, 131943, 129591, 130388, 15122, 3406, 88, 51580, 128333, 64061, 128980, 11, 126341, 128502, 47742, 128623, 128285, 59735, 2350, 39392, 8943, 128324, 29974, 69086, 142394, 8943, 129481, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 47742, 128560, 131537, 128324, 29974, 481, 42812, 78, 129831, 128319, 128250, 3406, 88, 51580, 128333, 65526, 220, 17, 20, 23, 14, 14903, 70, 128300, 220, 17, 24, 14, 19, 14, 16, 24, 24, 20, 59735, 130390, 131943, 129591, 130388, 13, 84137, 92430, 24790, 129393, 138624, 133751, 128324, 29974, 128272, 138465, 130669, 42812, 78, 11, 128324, 29974, 47742, 42812, 78, 128422, 128980, 922, 276, 128457, 142769, 342, 22516, 94576, 128300, 220, 16, 14, 16, 17, 14, 16, 24, 22, 17, 13, 42812, 78, 37915, 128301, 130719, 128720, 220, 20, 19, 69086, 129822, 65526, 220, 22, 22, 129838, 131400, 140926, 128278, 128379, 128272, 128324, 29974, 47742, 130719, 128720, 220, 16, 15, 69086, 65526, 220, 16, 20, 128301, 9812, 13, 132743, 28776, 220, 22, 126258, 128595, 128348, 128623, 128285, 128250, 130498, 128278, 128379, 37915, 220, 17, 15, 11, 18, 129077, 19551, 13, 133670, 220, 16, 24, 22, 17, 11, 55784, 7777, 125202, 128560, 131537, 129181, 46051, 128301, 98127, 129664, 220, 16, 21, 129077, 17672, 13, 133670, 220, 17, 15, 15, 22, 11, 32154, 220, 18, 20, 128290, 11, 55784, 7777, 125202, 129181, 46051, 128301, 79126, 128350, 128447, 128914, 220, 18, 15, 15, 129077, 17672, 9612, 77354, 13, 128678, 128387, 61758, 9450, 128415, 28240, 42812, 78, 37915, 13535, 125662, 11, 86785, 11, 61758, 294, 124382, 1231, 11, 138650, 85636, 11, 134761, 128334, 11, 435, 2863, 128432, 11, 136610, 856, 53061, 11, 11164, 898, 11, 128392, 3275, 128439, 47742, 9805, 71, 129065, 128484, 128804, 47742, 62572, 94576, 42812, 78, 128380, 294, 124516, 78, 129031, 88057, 11, 128392, 140703, 128422, 128279, 11, 128877, 259, 88771, 11, 259, 39392, 294, 57810, 11, 133105, 47742, 78228, 85636, 79479, 133105, 13, 128494, 663, 27924, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 43, 36745, 142394, 8943, 129481, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 47742, 128560, 131537, 128324, 29974, 481, 42812, 78, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 128329, 128431, 128265, 129031, 135352, 64061, 128980, 142394, 8943, 129481, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 47742, 128560, 131537, 128324, 29974, 481, 42812, 78, 624, 1001, 42504, 131943, 129591, 130388, 342, 22516, 129029, 730, 26068, 130361, 47742, 137720, 128379, 489, 3441, 128726, 128534, 130734, 76, 128250, 129854, 42812, 78, 128265, 128289, 64061, 128980, 142394, 8943, 128273, 47742, 128498, 128451, 129029, 128427, 132630, 11, 131628, 128319, 128250, 78228, 128322, 922, 276, 128542, 922, 276, 128361, 130390, 131943, 129591, 130388, 15122, 3406, 88, 51580, 128333, 64061, 128980, 11, 126341, 128502, 47742, 128623, 128285, 59735, 2350, 39392, 8943, 128324, 29974, 69086, 142394, 8943, 129481, 77, 128319, 128265, 128319, 128400, 595, 20868, 128384, 47742, 128560, 131537, 128324, 29974, 481, 42812, 78, 129831, 128319, 128250, 3406, 88, 51580, 128333, 65526, 220, 17, 20, 23, 14, 14903, 70, 128300, 220, 17, 24, 14, 19, 14, 16, 24, 24, 20, 59735, 130390, 131943, 129591, 130388, 13, 84137, 92430, 24790, 129393, 138624, 133751, 128324, 29974, 128272, 138465, 130669, 42812, 78, 11, 128324, 29974, 47742, 42812, 78, 128422, 128980, 922, 276, 128457, 142769, 342, 22516, 94576, 128300, 220, 16, 14, 16, 17, 14, 16, 24, 22, 17, 13, 42812, 78, 37915, 128301, 130719, 128720, 220, 20, 19, 69086, 129822, 65526, 220, 22, 22, 129838, 131400, 140926, 128278, 128379, 128272, 128324, 29974, 47742, 130719, 128720, 220, 16, 15, 69086, 65526, 220, 16, 20, 128301, 9812, 13, 132743, 28776, 220, 22, 126258, 128595, 128348, 128623, 128285, 128250, 130498, 128278, 128379, 37915, 220, 17, 15, 11, 18, 129077, 19551, 13, 133670, 220, 16, 24, 22, 17, 11, 55784, 7777, 125202, 128560, 131537, 129181, 46051, 128301, 98127, 129664, 220, 16, 21, 129077, 17672, 13, 133670, 220, 17, 15, 15, 22, 11, 32154, 220, 18, 20, 128290, 11, 55784, 7777, 125202, 129181, 46051, 128301, 79126, 128350, 128447, 128914, 220, 18, 15, 15, 129077, 17672, 9612, 77354, 13, 128678, 128387, 61758, 9450, 128415, 28240, 42812, 78, 37915, 13535, 125662, 11, 86785, 11, 61758, 294, 124382, 1231, 11, 138650, 85636, 11, 134761, 128334, 11, 435, 2863, 128432, 11, 136610, 856, 53061, 11, 11164, 898, 11, 128392, 3275, 128439, 47742, 9805, 71, 129065, 128484, 128804, 47742, 62572, 94576, 42812, 78, 128380, 294, 124516, 78, 129031, 88057, 11, 128392, 140703, 128422, 128279, 11, 128877, 259, 88771, 11, 259, 39392, 294, 57810, 11, 133105, 47742, 78228, 85636, 79479, 133105, 13, 128494, 663, 27924, 624, 151645 ]
[ 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
[ 40225, 33450, 134362, 128757, 128278, 128379, 62029, 128531, 23165, 2143, 28776, 128423, 128432, 2162, 78, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 356, 124651, 128757, 128278, 128379, 62029, 28776, 128492, 129589, 128281, 128333, 128263, 129240, 128529, 129528, 47742, 128994, 130123, 59735, 129857, 11, 128704, 128675, 11, 653, 27924, 128386, 13, 3155, 128270, 11, 128282, 128336, 128283, 128249, 128328, 128351, 922, 276, 47742, 2406, 124382, 79668, 128273, 128322, 128760, 128994, 130123, 521, 2185, 11, 131282, 128266, 279, 78, 132310, 1036, 759, 644, 489, 125017, 854, 624, 79759, 125431, 330, 66, 124900, 128639, 1, 94994, 134362, 128757, 128278, 128379, 62029, 136138, 128384, 2600, 128391, 128289, 134362, 128757, 128278, 128379, 62029, 53037, 128926, 131151, 128378, 128249, 65526, 128356, 653, 13, 132496, 128281, 11, 128265, 128322, 128751, 129270, 128356, 3043, 9745, 79126, 129036, 128376, 128818, 2600, 78228, 128704, 128675, 47742, 128289, 134362, 128757, 85852, 653, 128311, 78228, 128704, 128675, 128336, 128283, 279, 78, 128846, 128653, 521, 2185, 59735, 128322, 922, 276, 128502, 128365, 13, 130629, 128314, 128289, 134362, 128757, 11, 128890, 11386, 128211, 11, 62029, 128361, 128352, 128877, 129281, 128463, 128465, 86139, 128277, 133024, 128333, 59735, 78228, 128704, 128675, 13, 132496, 46051, 11, 78228, 128575, 128997, 128846, 128653, 134362, 128757, 128278, 128379, 62029, 128268, 128651, 129398, 135111, 11, 129705, 128254, 11, 128281, 37915, 128575, 128997, 128265, 128423, 128432, 59735, 126258, 128595, 128278, 128379, 13, 132496, 12789, 11, 141580, 128451, 128336, 128384, 128265, 128278, 128379, 128362, 128531, 128269, 128271, 128704, 128675, 47742, 128666, 128444, 37915, 28776, 128336, 653, 128415, 128362, 94576, 128361, 128368, 128362, 128531, 132058, 47742, 141580, 128451, 133954, 132242, 69086, 14854, 94313, 129108, 128265, 128362, 128531, 128322, 128760, 131140, 131520, 47742, 129738, 130498, 3043, 9745, 2600, 128278, 128379, 128362, 128531, 128320, 129572, 128751, 1163, 644, 128419, 128338, 129331, 11, 128289, 128826, 128309, 128423, 128432, 126258, 128595, 85852, 342, 22516, 2600, 128311, 128427, 128278, 128379, 320, 132368, 78228, 128366, 11, 128704, 128675, 11, 128553, 129675, 47742, 129822, 62029, 13580, 128275, 128301, 701, 128336, 128283, 13, 131577, 128266, 96535, 28776, 128254, 128651, 28776, 128271, 128439, 128351, 922, 276, 11, 125440, 653, 78228, 922, 276, 128457, 128994, 130123, 138831, 128366, 11, 131270, 47742, 129414, 128880, 11, 125440, 653, 128439, 128377, 18698, 72, 59735, 128322, 922, 276, 28776, 133024, 128918, 53037, 128491, 130103, 129017, 78228, 128784, 128333, 128278, 128379, 79126, 129212, 59735, 128312, 128260, 128249, 128411, 128977, 128265, 128380, 128375, 15122, 128784, 128333, 128278, 128379, 128339, 130008, 11, 128265, 128365, 128599, 47742, 131368, 129414, 128356, 128275, 128301, 128339, 521, 2185, 59735, 128312, 13, 129005, 65526, 128935, 130097, 133884, 128906, 11, 128360, 129705, 128254, 128585, 128575, 128997, 47742, 78228, 126258, 128595, 128360, 134362, 128757, 69086, 128311, 95082, 128556, 131774, 47742, 28776, 130203, 131867, 128328, 128818, 137125, 69086, 23165, 124692, 133024, 128333, 47742, 15122, 128784, 128333, 128278, 128379, 13, 138310, 129207, 128333, 129398, 128304, 128575, 128997, 128265, 128720, 128377, 130483, 128924, 11, 128944, 128725, 129054, 130483, 128924, 128459, 129922, 11, 128639, 131282, 130553, 128278, 128379, 294, 88602, 132465, 69086, 293, 87939, 129111, 129738, 130498, 129572, 140242, 79, 13, 136067, 128322, 128760, 128270, 11, 139824, 128784, 139474, 11, 128890, 11386, 128211, 11, 143164, 129263, 128368, 78228, 62029, 128361, 11, 126258, 128595, 135153, 128423, 128432, 11, 127306, 53037, 98127, 37915, 128253, 126258, 128595, 128821, 47742, 130498, 128278, 128379, 129530, 13, 140366, 128354, 11, 128403, 128319, 128271, 137261, 128513, 130314, 2162, 78, 128423, 128432, 128278, 128379, 62029, 11, 130314, 2162, 78, 128380, 128375, 62029, 128361, 26, 133776, 139810, 128419, 129916, 130034, 136122, 11, 131399, 968, 128812, 11, 128575, 129541, 1112, 131431, 128319, 126258, 128595, 294, 78820, 57512, 128651, 128254, 128266, 128424, 11, 128360, 128509, 128406, 138251, 61328, 62029, 128745, 128319, 11, 129698, 2600, 128289, 128990, 77374, 11, 1091, 71, 130051, 11, 129572, 128751, 25798, 128812, 128362, 97832, 47742, 128639, 130909, 128421, 128250, 128394, 129447, 128273, 128704, 129030, 11, 128281, 37915, 78228, 126258, 128595, 342, 22516, 92430, 13, 133817, 128826, 128309, 128423, 128432, 59735, 78228, 126258, 128595, 128278, 128379, 62029, 128360, 28776, 128253, 128575, 128997, 128323, 129705, 128254, 11, 63478, 129036, 128589, 128265, 78228, 128387, 595, 20868, 128384, 6558, 3202, 128410, 47742, 129991, 128331, 13, 133817, 133024, 128333, 128278, 128379, 126258, 128595, 128353, 128284, 131538, 95082, 128360, 128336, 128283, 129703, 128980, 11, 128744, 128386, 47742, 128351, 922, 276, 11, 128250, 128380, 128375, 47742, 131368, 129414, 2162, 78, 26, 128757, 141700, 128419, 129916, 133024, 128333, 126258, 128595, 50196, 128439, 128373, 128311, 128926, 294, 126175, 11, 92654, 5498, 856, 19533, 11, 130351, 128608, 128340, 28776, 128994, 11, 128268, 128260, 128419, 129916, 134634, 141840, 128271, 126258, 128595, 128304, 129240, 128360, 128422, 26, 128788, 128589, 37915, 128419, 129916, 128251, 15122, 128784, 128333, 128278, 128379, 53037, 28776, 129078, 92430, 24790, 128265, 126258, 128595, 128475, 53037, 128353, 128284, 129078, 92430, 24790, 13, 132496, 46051, 11, 128360, 131969, 128643, 130509, 47742, 92430, 73525, 136786, 137720, 128379, 62029, 14787, 125044, 130314, 2162, 78, 128423, 128432, 128278, 128379, 62029, 128360, 128553, 489, 2185, 131867, 128328, 128249, 65526, 23165, 124692, 128550, 128406, 79668, 141839, 132630, 128423, 128432, 59735, 126258, 128595, 13, 84137, 128270, 11, 128360, 131969, 128943, 128855, 47742, 92430, 73525, 136786, 137720, 128379, 62029, 128266, 129209, 126500, 128334, 128373, 47742, 128830, 128507, 11, 130314, 2162, 78, 128423, 128432, 128278, 128379, 62029, 125440, 128273, 130375, 3275, 125440, 128301, 13, 1163, 644, 136786, 137720, 128379, 62029, 128360, 129207, 128333, 129398, 135111, 11, 137277, 521, 124760, 128421, 129014, 47742, 128811, 85536, 129270, 128356, 69086, 23165, 124692, 126370, 130361, 11, 128495, 130361, 11, 129311, 128279, 128278, 128379, 11, 128531, 23165, 2143, 128336, 128283, 126258, 128595, 11, 129270, 128356, 128353, 128284, 130498, 11, 129270, 128356, 23165, 2143, 133457, 126258, 128595, 26, 129036, 128333, 131368, 129414, 59735, 78228, 128427, 128254, 270, 309, 94995, 86139, 128459, 128361, 129270, 128356, 128278, 128379, 62029, 26, 129705, 128254, 128585, 47742, 130314, 2162, 78, 129240, 128751, 128556, 79668, 129551, 128417, 132551, 272, 85375, 11, 132551, 129963, 69086, 128278, 128379, 26, 132611, 128904, 128419, 129916, 128278, 128379, 129036, 141873, 11, 128423, 128432, 132058, 11, 131399, 968, 128812, 11, 130034, 136122, 47742, 129888, 128356, 128253, 3275, 130375, 69086, 129270, 128356, 128278, 128379, 13, 130798, 11565, 431, 3029, 11, 128918, 1163, 124886, 8943, 730, 20868, 128384, 129528, 127980, 128978, 130215, 42812, 59735, 52503, 11, 128826, 128309, 11, 128459, 128361, 129036, 128918, 2600, 128704, 128675, 128272, 128324, 29974, 128960, 15122, 308, 9917, 71, 11, 128882, 15122, 128419, 129916, 28776, 128837, 128320, 130627, 521, 88477, 11, 128423, 128432, 128651, 2162, 78, 320, 50996, 67657, 134603, 128260, 129018, 128352, 28776, 130027, 128268, 128491, 128362, 128531, 272, 124428, 130027, 130685, 129572, 568, 135997, 131400, 128854, 128269, 129018, 53037, 294, 35234, 15122, 128784, 128333, 128253, 128289, 128371, 128358, 129281, 133024, 128918, 1163, 2185, 220, 85375, 13, 129591, 130388, 128360, 128529, 132300, 133804, 129261, 128459, 128361, 129036, 128376, 11, 47742, 98127, 129036, 128376, 129831, 128319, 128250, 128981, 132122, 128978, 11, 128475, 128981, 128704, 128675, 129705, 128254, 13, 135359, 128589, 11, 28776, 128254, 270, 309, 132123, 595, 20868, 128990, 92105, 128358, 59735, 40150, 451, 6743, 128265, 139824, 128784, 135571, 78228, 922, 276, 128502, 128275, 128301, 53037, 63478, 19953, 38830, 129414, 128502, 128367, 69086, 78228, 128553, 129675, 11, 62029, 13580, 128275, 128301, 13, 130406, 96535, 128267, 128430, 133776, 139810, 47742, 128757, 293, 132540, 78228, 128283, 129014, 326, 125252, 128918, 11, 270, 309, 20303, 125432, 47742, 128542, 128403, 489, 92704, 128994, 11, 128266, 128757, 128423, 128432, 47742, 128882, 129276, 129522, 134814, 128421, 128250, 128278, 128379, 62029, 13, 132496, 12789, 11, 128425, 14854, 94313, 129108, 69086, 128289, 135578, 128322, 133795, 128278, 128379, 62029, 279, 78, 128846, 128757, 134724, 129427, 128550, 128278, 128379, 62029, 69086, 129822, 130498, 128278, 128379, 128401, 128847, 128410, 11, 130314, 2162, 78, 128423, 128432, 47742, 128380, 128375, 11, 272, 128042, 129234, 132551, 129963, 128556, 131774, 13, 647, 2143, 129659, 59735, 128278, 128379, 62029, 69086, 131167, 595, 20868, 128384, 128360, 63478, 270, 352, 128726, 279, 78, 128846, 128757, 293, 132540, 128502, 128365, 128278, 128379, 79668, 595, 20868, 653, 27924, 11, 128529, 132300, 128502, 128365, 133765, 128994, 59735, 128278, 128379, 62029, 26, 128529, 132300, 128278, 128379, 62029, 2600, 128362, 128531, 128322, 128760, 131140, 131520, 320, 70, 22516, 92430, 11, 128484, 1215, 128278, 128379, 128475, 129481, 128886, 128249, 65526, 129857, 11, 132122, 128978, 11, 126258, 128595, 128550, 128406, 11, 134969, 20303, 79823, 28776, 128400, 128285, 30691, 132367, 64, 128265, 128387, 62029, 128781, 26, 128278, 128379, 128362, 128531, 47742, 128740, 128284, 72067, 64, 128292, 62029, 128781, 136822, 128250, 85636, 128415, 26, 128278, 128379, 2600, 129023, 129677, 131912, 128425, 11, 379, 128384, 47742, 133765, 128994, 128847, 128410, 79668, 128362, 128531, 129738, 128310, 128599, 28776, 128361, 128368, 129531, 128859, 2162, 78, 26, 130314, 2162, 78, 128365, 128599, 129270, 128356, 47742, 128283, 128479, 128585, 129270, 128356, 128275, 128301, 13, 132496, 128379, 11, 128360, 128425, 128322, 128410, 128823, 136338, 2600, 78228, 129738, 128278, 128379, 128354, 59735, 128847, 128410, 11, 128757, 134724, 128277, 128877, 129281, 11, 140494, 133459, 86139, 128278, 128379, 62029, 84137, 128270, 11, 128360, 128427, 128285, 128943, 128855, 47742, 62029, 128888, 98896, 129203, 126258, 128595, 129705, 128254, 79668, 305, 4076, 128285, 78228, 129738, 128599, 69086, 128847, 128410, 128904, 128367, 129203, 128575, 128278, 128379, 128362, 128531, 279, 78, 78228, 128338, 128482, 82330, 11, 21111, 11, 74038, 26, 135984, 23165, 125531, 78228, 653, 27924, 128386, 128379, 128310, 270, 309, 94995, 129507, 270, 91012, 128336, 128283, 78228, 126258, 128595, 28776, 130498, 3043, 9745, 11, 130291, 125440, 94576, 129738, 506, 6352, 26, 128424, 128884, 435, 6362, 134814, 47742, 129367, 129922, 129057, 128463, 128585, 78228, 422, 9745, 45, 128273, 128704, 129030, 279, 78, 128846, 128757, 129427, 128550, 128275, 128301, 135905, 129057, 128463, 69086, 132122, 128978, 595, 20868, 653, 27924, 128378, 128994, 141581, 47742, 128529, 132300, 128847, 128410, 128585, 128278, 128379, 78228, 128507, 128367, 62029, 12, 130287, 126260, 13, 129016, 128254, 135984, 23165, 125531, 78228, 653, 27924, 128386, 11, 128281, 37915, 422, 9745, 45, 126341, 128502, 47742, 128529, 132300, 128542, 128403, 129227, 128338, 128482, 128553, 129675, 128907, 128760, 129347, 11, 128744, 130929, 128585, 131307, 47742, 128907, 130249, 128585, 595, 20868, 653, 27924, 128273, 128322, 128760, 78228, 85636, 79479, 128427, 128599, 11, 130483, 128924, 11, 28776, 128531, 130949, 126260, 128331, 11, 28776, 130734, 76, 128375, 128751, 128871, 47742, 62029, 128781, 2162, 78, 11, 128623, 128285, 128273, 130375, 3275, 127980, 128978, 11, 125440, 128301, 11, 128981, 130203, 270, 86728, 62572, 15122, 126260, 128331, 128301, 128703, 11, 130291, 125440, 128278, 128379, 129372, 128424, 47742, 13535, 11390, 128424, 356, 124651, 128757, 128278, 128379, 62029, 28776, 128492, 129589, 128281, 128333, 128263, 129240, 128529, 129528, 47742, 128994, 130123, 59735, 129857, 11, 128704, 128675, 11, 653, 27924, 128386, 13, 3155, 128270, 11, 128282, 128336, 128283, 128249, 128328, 128351, 922, 276, 47742, 2406, 124382, 79668, 128273, 128322, 128760, 128994, 130123, 521, 2185, 11, 53037, 79668, 78228, 129626, 128283, 130702, 348, 126961, 11, 856, 258, 12, 958, 11, 128379, 129608, 138831, 128366, 25798, 131628, 47742, 131282, 128266, 279, 78, 132310, 364, 759, 644, 489, 125017, 4427, 910, 124614, 128373, 128869, 134168, 89218, 66, 47742, 128423, 128432, 128427, 140996, 96535, 128320, 28776, 128431, 129598, 131072, 128463, 133600, 132668, 128726, 92105, 129270, 128356, 128278, 128379, 62029, 11, 128425, 128622, 128515, 128456, 128336, 128283, 129414, 128367, 14854, 94313, 129108, 128362, 128531, 128457, 128573, 128403, 133795, 131140, 131520, 595, 20868, 128384, 6558, 3202, 128410, 279, 78, 128846, 135268, 135584, 69086, 128253, 128290, 128447, 52503, 92105, 126258, 128603, 128529, 129528, 29730, 59735, 128324, 29974, 128290, 220, 17, 15, 16, 16, 128267, 128269, 129240, 220, 21, 11, 18, 4, 47742, 98127, 65526, 128309, 128575, 128469, 128529, 220, 24, 11, 20, 14360, 126778, 128502, 96535, 128268, 2600, 128640, 11, 128250, 128289, 128334, 132314, 131538, 95082, 220, 17, 15, 16, 16, 47742, 141127, 128784, 220, 16, 16, 128727, 8943, 128373, 11, 129591, 130388, 128324, 29974, 79126, 128254, 128283, 128784, 128396, 128424, 128884, 272, 128042, 129234, 78228, 128556, 130042, 128556, 128311, 47742, 134724, 134724, 128757, 293, 132540, 270, 86728, 305, 50483, 83, 131538, 95082, 128265, 129240, 128371, 139235, 11386, 124428, 11, 326, 125252, 128362, 128322, 128450, 128267, 128757, 134724, 13, 22965, 13, 128984, 92155, 2350, 644, 141004, 451, 75076, 27021, 129156, 128362, 128531, 77461, 30550, 39, 128521, 128685, 130590, 128542, 922, 276, 25, 3578, 141915, 92105, 69086, 134362, 128757, 128278, 128379, 62029, 128290, 220, 17, 15, 16, 16, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 33450, 134362, 128757, 128278, 128379, 62029, 128531, 23165, 2143, 28776, 128423, 128432, 2162, 78, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 356, 124651, 128757, 128278, 128379, 62029, 28776, 128492, 129589, 128281, 128333, 128263, 129240, 128529, 129528, 47742, 128994, 130123, 59735, 129857, 11, 128704, 128675, 11, 653, 27924, 128386, 13, 3155, 128270, 11, 128282, 128336, 128283, 128249, 128328, 128351, 922, 276, 47742, 2406, 124382, 79668, 128273, 128322, 128760, 128994, 130123, 521, 2185, 11, 131282, 128266, 279, 78, 132310, 1036, 759, 644, 489, 125017, 854, 624, 79759, 125431, 330, 66, 124900, 128639, 1, 94994, 134362, 128757, 128278, 128379, 62029, 136138, 128384, 2600, 128391, 128289, 134362, 128757, 128278, 128379, 62029, 53037, 128926, 131151, 128378, 128249, 65526, 128356, 653, 13, 132496, 128281, 11, 128265, 128322, 128751, 129270, 128356, 3043, 9745, 79126, 129036, 128376, 128818, 2600, 78228, 128704, 128675, 47742, 128289, 134362, 128757, 85852, 653, 128311, 78228, 128704, 128675, 128336, 128283, 279, 78, 128846, 128653, 521, 2185, 59735, 128322, 922, 276, 128502, 128365, 13, 130629, 128314, 128289, 134362, 128757, 11, 128890, 11386, 128211, 11, 62029, 128361, 128352, 128877, 129281, 128463, 128465, 86139, 128277, 133024, 128333, 59735, 78228, 128704, 128675, 13, 132496, 46051, 11, 78228, 128575, 128997, 128846, 128653, 134362, 128757, 128278, 128379, 62029, 128268, 128651, 129398, 135111, 11, 129705, 128254, 11, 128281, 37915, 128575, 128997, 128265, 128423, 128432, 59735, 126258, 128595, 128278, 128379, 13, 132496, 12789, 11, 141580, 128451, 128336, 128384, 128265, 128278, 128379, 128362, 128531, 128269, 128271, 128704, 128675, 47742, 128666, 128444, 37915, 28776, 128336, 653, 128415, 128362, 94576, 128361, 128368, 128362, 128531, 132058, 47742, 141580, 128451, 133954, 132242, 69086, 14854, 94313, 129108, 128265, 128362, 128531, 128322, 128760, 131140, 131520, 47742, 129738, 130498, 3043, 9745, 2600, 128278, 128379, 128362, 128531, 128320, 129572, 128751, 1163, 644, 128419, 128338, 129331, 11, 128289, 128826, 128309, 128423, 128432, 126258, 128595, 85852, 342, 22516, 2600, 128311, 128427, 128278, 128379, 320, 132368, 78228, 128366, 11, 128704, 128675, 11, 128553, 129675, 47742, 129822, 62029, 13580, 128275, 128301, 701, 128336, 128283, 13, 131577, 128266, 96535, 28776, 128254, 128651, 28776, 128271, 128439, 128351, 922, 276, 11, 125440, 653, 78228, 922, 276, 128457, 128994, 130123, 138831, 128366, 11, 131270, 47742, 129414, 128880, 11, 125440, 653, 128439, 128377, 18698, 72, 59735, 128322, 922, 276, 28776, 133024, 128918, 53037, 128491, 130103, 129017, 78228, 128784, 128333, 128278, 128379, 79126, 129212, 59735, 128312, 128260, 128249, 128411, 128977, 128265, 128380, 128375, 15122, 128784, 128333, 128278, 128379, 128339, 130008, 11, 128265, 128365, 128599, 47742, 131368, 129414, 128356, 128275, 128301, 128339, 521, 2185, 59735, 128312, 13, 129005, 65526, 128935, 130097, 133884, 128906, 11, 128360, 129705, 128254, 128585, 128575, 128997, 47742, 78228, 126258, 128595, 128360, 134362, 128757, 69086, 128311, 95082, 128556, 131774, 47742, 28776, 130203, 131867, 128328, 128818, 137125, 69086, 23165, 124692, 133024, 128333, 47742, 15122, 128784, 128333, 128278, 128379, 13, 138310, 129207, 128333, 129398, 128304, 128575, 128997, 128265, 128720, 128377, 130483, 128924, 11, 128944, 128725, 129054, 130483, 128924, 128459, 129922, 11, 128639, 131282, 130553, 128278, 128379, 294, 88602, 132465, 69086, 293, 87939, 129111, 129738, 130498, 129572, 140242, 79, 13, 136067, 128322, 128760, 128270, 11, 139824, 128784, 139474, 11, 128890, 11386, 128211, 11, 143164, 129263, 128368, 78228, 62029, 128361, 11, 126258, 128595, 135153, 128423, 128432, 11, 127306, 53037, 98127, 37915, 128253, 126258, 128595, 128821, 47742, 130498, 128278, 128379, 129530, 13, 140366, 128354, 11, 128403, 128319, 128271, 137261, 128513, 130314, 2162, 78, 128423, 128432, 128278, 128379, 62029, 11, 130314, 2162, 78, 128380, 128375, 62029, 128361, 26, 133776, 139810, 128419, 129916, 130034, 136122, 11, 131399, 968, 128812, 11, 128575, 129541, 1112, 131431, 128319, 126258, 128595, 294, 78820, 57512, 128651, 128254, 128266, 128424, 11, 128360, 128509, 128406, 138251, 61328, 62029, 128745, 128319, 11, 129698, 2600, 128289, 128990, 77374, 11, 1091, 71, 130051, 11, 129572, 128751, 25798, 128812, 128362, 97832, 47742, 128639, 130909, 128421, 128250, 128394, 129447, 128273, 128704, 129030, 11, 128281, 37915, 78228, 126258, 128595, 342, 22516, 92430, 13, 133817, 128826, 128309, 128423, 128432, 59735, 78228, 126258, 128595, 128278, 128379, 62029, 128360, 28776, 128253, 128575, 128997, 128323, 129705, 128254, 11, 63478, 129036, 128589, 128265, 78228, 128387, 595, 20868, 128384, 6558, 3202, 128410, 47742, 129991, 128331, 13, 133817, 133024, 128333, 128278, 128379, 126258, 128595, 128353, 128284, 131538, 95082, 128360, 128336, 128283, 129703, 128980, 11, 128744, 128386, 47742, 128351, 922, 276, 11, 128250, 128380, 128375, 47742, 131368, 129414, 2162, 78, 26, 128757, 141700, 128419, 129916, 133024, 128333, 126258, 128595, 50196, 128439, 128373, 128311, 128926, 294, 126175, 11, 92654, 5498, 856, 19533, 11, 130351, 128608, 128340, 28776, 128994, 11, 128268, 128260, 128419, 129916, 134634, 141840, 128271, 126258, 128595, 128304, 129240, 128360, 128422, 26, 128788, 128589, 37915, 128419, 129916, 128251, 15122, 128784, 128333, 128278, 128379, 53037, 28776, 129078, 92430, 24790, 128265, 126258, 128595, 128475, 53037, 128353, 128284, 129078, 92430, 24790, 13, 132496, 46051, 11, 128360, 131969, 128643, 130509, 47742, 92430, 73525, 136786, 137720, 128379, 62029, 14787, 125044, 130314, 2162, 78, 128423, 128432, 128278, 128379, 62029, 128360, 128553, 489, 2185, 131867, 128328, 128249, 65526, 23165, 124692, 128550, 128406, 79668, 141839, 132630, 128423, 128432, 59735, 126258, 128595, 13, 84137, 128270, 11, 128360, 131969, 128943, 128855, 47742, 92430, 73525, 136786, 137720, 128379, 62029, 128266, 129209, 126500, 128334, 128373, 47742, 128830, 128507, 11, 130314, 2162, 78, 128423, 128432, 128278, 128379, 62029, 125440, 128273, 130375, 3275, 125440, 128301, 13, 1163, 644, 136786, 137720, 128379, 62029, 128360, 129207, 128333, 129398, 135111, 11, 137277, 521, 124760, 128421, 129014, 47742, 128811, 85536, 129270, 128356, 69086, 23165, 124692, 126370, 130361, 11, 128495, 130361, 11, 129311, 128279, 128278, 128379, 11, 128531, 23165, 2143, 128336, 128283, 126258, 128595, 11, 129270, 128356, 128353, 128284, 130498, 11, 129270, 128356, 23165, 2143, 133457, 126258, 128595, 26, 129036, 128333, 131368, 129414, 59735, 78228, 128427, 128254, 270, 309, 94995, 86139, 128459, 128361, 129270, 128356, 128278, 128379, 62029, 26, 129705, 128254, 128585, 47742, 130314, 2162, 78, 129240, 128751, 128556, 79668, 129551, 128417, 132551, 272, 85375, 11, 132551, 129963, 69086, 128278, 128379, 26, 132611, 128904, 128419, 129916, 128278, 128379, 129036, 141873, 11, 128423, 128432, 132058, 11, 131399, 968, 128812, 11, 130034, 136122, 47742, 129888, 128356, 128253, 3275, 130375, 69086, 129270, 128356, 128278, 128379, 13, 130798, 11565, 431, 3029, 11, 128918, 1163, 124886, 8943, 730, 20868, 128384, 129528, 127980, 128978, 130215, 42812, 59735, 52503, 11, 128826, 128309, 11, 128459, 128361, 129036, 128918, 2600, 128704, 128675, 128272, 128324, 29974, 128960, 15122, 308, 9917, 71, 11, 128882, 15122, 128419, 129916, 28776, 128837, 128320, 130627, 521, 88477, 11, 128423, 128432, 128651, 2162, 78, 320, 50996, 67657, 134603, 128260, 129018, 128352, 28776, 130027, 128268, 128491, 128362, 128531, 272, 124428, 130027, 130685, 129572, 568, 135997, 131400, 128854, 128269, 129018, 53037, 294, 35234, 15122, 128784, 128333, 128253, 128289, 128371, 128358, 129281, 133024, 128918, 1163, 2185, 220, 85375, 13, 129591, 130388, 128360, 128529, 132300, 133804, 129261, 128459, 128361, 129036, 128376, 11, 47742, 98127, 129036, 128376, 129831, 128319, 128250, 128981, 132122, 128978, 11, 128475, 128981, 128704, 128675, 129705, 128254, 13, 135359, 128589, 11, 28776, 128254, 270, 309, 132123, 595, 20868, 128990, 92105, 128358, 59735, 40150, 451, 6743, 128265, 139824, 128784, 135571, 78228, 922, 276, 128502, 128275, 128301, 53037, 63478, 19953, 38830, 129414, 128502, 128367, 69086, 78228, 128553, 129675, 11, 62029, 13580, 128275, 128301, 13, 130406, 96535, 128267, 128430, 133776, 139810, 47742, 128757, 293, 132540, 78228, 128283, 129014, 326, 125252, 128918, 11, 270, 309, 20303, 125432, 47742, 128542, 128403, 489, 92704, 128994, 11, 128266, 128757, 128423, 128432, 47742, 128882, 129276, 129522, 134814, 128421, 128250, 128278, 128379, 62029, 13, 132496, 12789, 11, 128425, 14854, 94313, 129108, 69086, 128289, 135578, 128322, 133795, 128278, 128379, 62029, 279, 78, 128846, 128757, 134724, 129427, 128550, 128278, 128379, 62029, 69086, 129822, 130498, 128278, 128379, 128401, 128847, 128410, 11, 130314, 2162, 78, 128423, 128432, 47742, 128380, 128375, 11, 272, 128042, 129234, 132551, 129963, 128556, 131774, 13, 647, 2143, 129659, 59735, 128278, 128379, 62029, 69086, 131167, 595, 20868, 128384, 128360, 63478, 270, 352, 128726, 279, 78, 128846, 128757, 293, 132540, 128502, 128365, 128278, 128379, 79668, 595, 20868, 653, 27924, 11, 128529, 132300, 128502, 128365, 133765, 128994, 59735, 128278, 128379, 62029, 26, 128529, 132300, 128278, 128379, 62029, 2600, 128362, 128531, 128322, 128760, 131140, 131520, 320, 70, 22516, 92430, 11, 128484, 1215, 128278, 128379, 128475, 129481, 128886, 128249, 65526, 129857, 11, 132122, 128978, 11, 126258, 128595, 128550, 128406, 11, 134969, 20303, 79823, 28776, 128400, 128285, 30691, 132367, 64, 128265, 128387, 62029, 128781, 26, 128278, 128379, 128362, 128531, 47742, 128740, 128284, 72067, 64, 128292, 62029, 128781, 136822, 128250, 85636, 128415, 26, 128278, 128379, 2600, 129023, 129677, 131912, 128425, 11, 379, 128384, 47742, 133765, 128994, 128847, 128410, 79668, 128362, 128531, 129738, 128310, 128599, 28776, 128361, 128368, 129531, 128859, 2162, 78, 26, 130314, 2162, 78, 128365, 128599, 129270, 128356, 47742, 128283, 128479, 128585, 129270, 128356, 128275, 128301, 13, 132496, 128379, 11, 128360, 128425, 128322, 128410, 128823, 136338, 2600, 78228, 129738, 128278, 128379, 128354, 59735, 128847, 128410, 11, 128757, 134724, 128277, 128877, 129281, 11, 140494, 133459, 86139, 128278, 128379, 62029, 84137, 128270, 11, 128360, 128427, 128285, 128943, 128855, 47742, 62029, 128888, 98896, 129203, 126258, 128595, 129705, 128254, 79668, 305, 4076, 128285, 78228, 129738, 128599, 69086, 128847, 128410, 128904, 128367, 129203, 128575, 128278, 128379, 128362, 128531, 279, 78, 78228, 128338, 128482, 82330, 11, 21111, 11, 74038, 26, 135984, 23165, 125531, 78228, 653, 27924, 128386, 128379, 128310, 270, 309, 94995, 129507, 270, 91012, 128336, 128283, 78228, 126258, 128595, 28776, 130498, 3043, 9745, 11, 130291, 125440, 94576, 129738, 506, 6352, 26, 128424, 128884, 435, 6362, 134814, 47742, 129367, 129922, 129057, 128463, 128585, 78228, 422, 9745, 45, 128273, 128704, 129030, 279, 78, 128846, 128757, 129427, 128550, 128275, 128301, 135905, 129057, 128463, 69086, 132122, 128978, 595, 20868, 653, 27924, 128378, 128994, 141581, 47742, 128529, 132300, 128847, 128410, 128585, 128278, 128379, 78228, 128507, 128367, 62029, 12, 130287, 126260, 13, 129016, 128254, 135984, 23165, 125531, 78228, 653, 27924, 128386, 11, 128281, 37915, 422, 9745, 45, 126341, 128502, 47742, 128529, 132300, 128542, 128403, 129227, 128338, 128482, 128553, 129675, 128907, 128760, 129347, 11, 128744, 130929, 128585, 131307, 47742, 128907, 130249, 128585, 595, 20868, 653, 27924, 128273, 128322, 128760, 78228, 85636, 79479, 128427, 128599, 11, 130483, 128924, 11, 28776, 128531, 130949, 126260, 128331, 11, 28776, 130734, 76, 128375, 128751, 128871, 47742, 62029, 128781, 2162, 78, 11, 128623, 128285, 128273, 130375, 3275, 127980, 128978, 11, 125440, 128301, 11, 128981, 130203, 270, 86728, 62572, 15122, 126260, 128331, 128301, 128703, 11, 130291, 125440, 128278, 128379, 129372, 128424, 47742, 13535, 11390, 128424, 356, 124651, 128757, 128278, 128379, 62029, 28776, 128492, 129589, 128281, 128333, 128263, 129240, 128529, 129528, 47742, 128994, 130123, 59735, 129857, 11, 128704, 128675, 11, 653, 27924, 128386, 13, 3155, 128270, 11, 128282, 128336, 128283, 128249, 128328, 128351, 922, 276, 47742, 2406, 124382, 79668, 128273, 128322, 128760, 128994, 130123, 521, 2185, 11, 53037, 79668, 78228, 129626, 128283, 130702, 348, 126961, 11, 856, 258, 12, 958, 11, 128379, 129608, 138831, 128366, 25798, 131628, 47742, 131282, 128266, 279, 78, 132310, 364, 759, 644, 489, 125017, 4427, 910, 124614, 128373, 128869, 134168, 89218, 66, 47742, 128423, 128432, 128427, 140996, 96535, 128320, 28776, 128431, 129598, 131072, 128463, 133600, 132668, 128726, 92105, 129270, 128356, 128278, 128379, 62029, 11, 128425, 128622, 128515, 128456, 128336, 128283, 129414, 128367, 14854, 94313, 129108, 128362, 128531, 128457, 128573, 128403, 133795, 131140, 131520, 595, 20868, 128384, 6558, 3202, 128410, 279, 78, 128846, 135268, 135584, 69086, 128253, 128290, 128447, 52503, 92105, 126258, 128603, 128529, 129528, 29730, 59735, 128324, 29974, 128290, 220, 17, 15, 16, 16, 128267, 128269, 129240, 220, 21, 11, 18, 4, 47742, 98127, 65526, 128309, 128575, 128469, 128529, 220, 24, 11, 20, 14360, 126778, 128502, 96535, 128268, 2600, 128640, 11, 128250, 128289, 128334, 132314, 131538, 95082, 220, 17, 15, 16, 16, 47742, 141127, 128784, 220, 16, 16, 128727, 8943, 128373, 11, 129591, 130388, 128324, 29974, 79126, 128254, 128283, 128784, 128396, 128424, 128884, 272, 128042, 129234, 78228, 128556, 130042, 128556, 128311, 47742, 134724, 134724, 128757, 293, 132540, 270, 86728, 305, 50483, 83, 131538, 95082, 128265, 129240, 128371, 139235, 11386, 124428, 11, 326, 125252, 128362, 128322, 128450, 128267, 128757, 134724, 13, 22965, 13, 128984, 92155, 2350, 644, 141004, 451, 75076, 27021, 129156, 128362, 128531, 77461, 30550, 39, 128521, 128685, 130590, 128542, 922, 276, 25, 3578, 141915, 92105, 69086, 134362, 128757, 128278, 128379, 62029, 128290, 220, 17, 15, 16, 16, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967 ]
1,968
[ 127612, 77, 129014, 131718, 23165, 2143, 296, 124904, 15235, 11610, 14429, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 350, 87939, 308, 352, 320, 18, 15, 14, 16, 15, 701, 128250, 128427, 128456, 1036, 53, 23531, 128249, 133539, 42812, 128362, 128531, 9336, 444, 124417, 23165, 2143, 296, 124904, 129393, 128410, 128254, 270, 3441, 69086, 128275, 133539, 42812, 128568, 128720, 220, 18, 320, 15469, 11610, 14429, 8, 128272, 17481, 40225, 1207, 38, 128819, 136929, 11, 128521, 128685, 128960, 15122, 128949, 220, 124644, 129014, 47742, 11386, 48291, 489, 124397, 624, 40225, 125446, 220, 23, 128626, 11, 131309, 23165, 2143, 296, 124904, 128311, 128482, 128802, 128278, 13, 130085, 131443, 128301, 128984, 92155, 12359, 51580, 11, 133761, 130390, 131943, 141948, 1163, 92302, 128984, 17632, 71, 472, 88771, 11, 133761, 130390, 131943, 1163, 85375, 142193, 142741, 11, 133761, 130390, 131943, 128984, 59123, 51054, 133404, 11, 1163, 124886, 22730, 98127, 128854, 15235, 11610, 14429, 11, 129029, 129528, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 130597, 140593, 1527, 71, 79126, 126258, 132214, 131309, 128340, 78228, 128444, 128351, 128664, 128384, 25, 130085, 131443, 129935, 128329, 24900, 133539, 42812, 320, 46, 5049, 701, 133761, 130390, 131943, 56011, 71529, 54317, 1674, 7276, 1466, 329, 1674, 6222, 370, 1466, 11, 133761, 130390, 131943, 141948, 129372, 6826, 5626, 8065, 444, 125017, 328, 6940, 402, 266, 444, 826, 82, 37055, 13, 130085, 131443, 128301, 128984, 92155, 12359, 51580, 79126, 135593, 128888, 23165, 2143, 296, 124904, 129393, 128410, 11, 128277, 129065, 128254, 270, 3441, 128664, 128384, 28776, 134059, 348, 125877, 128465, 128281, 94576, 128371, 128447, 308, 352, 653, 128324, 29974, 129418, 272, 2143, 13, 131677, 444, 124417, 23165, 2143, 296, 124904, 11, 140870, 135704, 20303, 127200, 2162, 78, 128324, 29974, 425, 14926, 72, 130934, 451, 56832, 11, 129984, 128285, 97483, 293, 124551, 272, 2185, 128984, 133778, 356, 85375, 47742, 129984, 128285, 97483, 130929, 129411, 128451, 128984, 22325, 51580, 356, 85375, 130702, 435, 124603, 142920, 124504, 47742, 521, 86728, 142920, 124504, 2600, 14854, 52551, 136337, 59735, 129393, 128410, 13, 130244, 37915, 128253, 129984, 128285, 128415, 129222, 59735, 128254, 270, 3441, 128324, 29974, 11, 128981, 139833, 128271, 64061, 128761, 128272, 78228, 128880, 61328, 129507, 128664, 128384, 13, 444, 124417, 23165, 2143, 296, 124904, 15235, 11610, 14429, 130068, 220, 17, 128463, 13, 137572, 444, 124417, 63478, 128960, 15122, 279, 78, 92430, 130554, 128664, 128384, 47742, 125021, 131309, 128664, 94995, 13, 137572, 129935, 11, 293, 3441, 130068, 220, 18, 129784, 25, 131786, 220, 16, 25, 14533, 63268, 11610, 220, 18, 481, 131160, 128410, 128254, 270, 3441, 59735, 128790, 128634, 26, 131786, 220, 17, 25, 129126, 128585, 128324, 29974, 11, 663, 58597, 5724, 481, 128521, 128685, 26, 131786, 220, 18, 25, 129935, 62572, 47742, 23165, 16685, 130949, 133539, 42812, 13, 730, 6161, 124428, 220, 20, 13, 15, 15, 15, 128292, 97832, 11, 97832, 97483, 59735, 78228, 128331, 130889, 128273, 128704, 129030, 130390, 130287, 270, 309, 94995, 78228, 131718, 129626, 128960, 128250, 128811, 85536, 128449, 132786, 2600, 136078, 89437, 128664, 128384, 128253, 128338, 128492, 11, 129626, 129014, 79668, 128339, 128350, 135437, 128788, 129222, 59735, 128683, 128585, 11, 390, 128251, 128324, 29974, 11, 348, 18934, 67657, 128447, 128277, 128410, 62572, 47742, 128846, 128263, 128249, 128427, 128456, 521, 2185, 13, 130244, 37915, 129784, 128361, 128329, 128960, 128781, 128859, 128465, 128281, 94576, 128371, 128447, 308, 352, 41016, 220, 17, 128626, 129626, 128960, 135704, 489, 124397, 128250, 128423, 128740, 129610, 1091, 71, 11, 18698, 16719, 128688, 11, 128457, 128573, 20486, 11, 1319, 359, 23165, 125444, 11, 444, 124417, 23165, 2143, 296, 124904, 79126, 128403, 133600, 11, 94576, 128358, 11, 128802, 128278, 128249, 130681, 132600, 23686, 71, 139529, 133863, 11, 130344, 139127, 59735, 129168, 220, 20, 13, 15, 15, 15, 129984, 128285, 97483, 128263, 94576, 220, 19, 20, 78228, 128664, 94995, 47742, 129838, 131400, 140926, 128269, 220, 17, 15, 130929, 61328, 129507, 130068, 220, 17, 16, 24, 128811, 85536, 47742, 220, 16, 130929, 129626, 128960, 13, 444, 124417, 293, 26068, 296, 124904, 128267, 128960, 15122, 128300, 220, 23, 14, 16, 16, 14, 17, 15, 15, 24, 13, 135196, 2350, 644, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 127612, 77, 129014, 131718, 23165, 2143, 296, 124904, 15235, 11610, 14429, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 350, 87939, 308, 352, 320, 18, 15, 14, 16, 15, 701, 128250, 128427, 128456, 1036, 53, 23531, 128249, 133539, 42812, 128362, 128531, 9336, 444, 124417, 23165, 2143, 296, 124904, 129393, 128410, 128254, 270, 3441, 69086, 128275, 133539, 42812, 128568, 128720, 220, 18, 320, 15469, 11610, 14429, 8, 128272, 17481, 40225, 1207, 38, 128819, 136929, 11, 128521, 128685, 128960, 15122, 128949, 220, 124644, 129014, 47742, 11386, 48291, 489, 124397, 624, 40225, 125446, 220, 23, 128626, 11, 131309, 23165, 2143, 296, 124904, 128311, 128482, 128802, 128278, 13, 130085, 131443, 128301, 128984, 92155, 12359, 51580, 11, 133761, 130390, 131943, 141948, 1163, 92302, 128984, 17632, 71, 472, 88771, 11, 133761, 130390, 131943, 1163, 85375, 142193, 142741, 11, 133761, 130390, 131943, 128984, 59123, 51054, 133404, 11, 1163, 124886, 22730, 98127, 128854, 15235, 11610, 14429, 11, 129029, 129528, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 130597, 140593, 1527, 71, 79126, 126258, 132214, 131309, 128340, 78228, 128444, 128351, 128664, 128384, 25, 130085, 131443, 129935, 128329, 24900, 133539, 42812, 320, 46, 5049, 701, 133761, 130390, 131943, 56011, 71529, 54317, 1674, 7276, 1466, 329, 1674, 6222, 370, 1466, 11, 133761, 130390, 131943, 141948, 129372, 6826, 5626, 8065, 444, 125017, 328, 6940, 402, 266, 444, 826, 82, 37055, 13, 130085, 131443, 128301, 128984, 92155, 12359, 51580, 79126, 135593, 128888, 23165, 2143, 296, 124904, 129393, 128410, 11, 128277, 129065, 128254, 270, 3441, 128664, 128384, 28776, 134059, 348, 125877, 128465, 128281, 94576, 128371, 128447, 308, 352, 653, 128324, 29974, 129418, 272, 2143, 13, 131677, 444, 124417, 23165, 2143, 296, 124904, 11, 140870, 135704, 20303, 127200, 2162, 78, 128324, 29974, 425, 14926, 72, 130934, 451, 56832, 11, 129984, 128285, 97483, 293, 124551, 272, 2185, 128984, 133778, 356, 85375, 47742, 129984, 128285, 97483, 130929, 129411, 128451, 128984, 22325, 51580, 356, 85375, 130702, 435, 124603, 142920, 124504, 47742, 521, 86728, 142920, 124504, 2600, 14854, 52551, 136337, 59735, 129393, 128410, 13, 130244, 37915, 128253, 129984, 128285, 128415, 129222, 59735, 128254, 270, 3441, 128324, 29974, 11, 128981, 139833, 128271, 64061, 128761, 128272, 78228, 128880, 61328, 129507, 128664, 128384, 13, 444, 124417, 23165, 2143, 296, 124904, 15235, 11610, 14429, 130068, 220, 17, 128463, 13, 137572, 444, 124417, 63478, 128960, 15122, 279, 78, 92430, 130554, 128664, 128384, 47742, 125021, 131309, 128664, 94995, 13, 137572, 129935, 11, 293, 3441, 130068, 220, 18, 129784, 25, 131786, 220, 16, 25, 14533, 63268, 11610, 220, 18, 481, 131160, 128410, 128254, 270, 3441, 59735, 128790, 128634, 26, 131786, 220, 17, 25, 129126, 128585, 128324, 29974, 11, 663, 58597, 5724, 481, 128521, 128685, 26, 131786, 220, 18, 25, 129935, 62572, 47742, 23165, 16685, 130949, 133539, 42812, 13, 730, 6161, 124428, 220, 20, 13, 15, 15, 15, 128292, 97832, 11, 97832, 97483, 59735, 78228, 128331, 130889, 128273, 128704, 129030, 130390, 130287, 270, 309, 94995, 78228, 131718, 129626, 128960, 128250, 128811, 85536, 128449, 132786, 2600, 136078, 89437, 128664, 128384, 128253, 128338, 128492, 11, 129626, 129014, 79668, 128339, 128350, 135437, 128788, 129222, 59735, 128683, 128585, 11, 390, 128251, 128324, 29974, 11, 348, 18934, 67657, 128447, 128277, 128410, 62572, 47742, 128846, 128263, 128249, 128427, 128456, 521, 2185, 13, 130244, 37915, 129784, 128361, 128329, 128960, 128781, 128859, 128465, 128281, 94576, 128371, 128447, 308, 352, 41016, 220, 17, 128626, 129626, 128960, 135704, 489, 124397, 128250, 128423, 128740, 129610, 1091, 71, 11, 18698, 16719, 128688, 11, 128457, 128573, 20486, 11, 1319, 359, 23165, 125444, 11, 444, 124417, 23165, 2143, 296, 124904, 79126, 128403, 133600, 11, 94576, 128358, 11, 128802, 128278, 128249, 130681, 132600, 23686, 71, 139529, 133863, 11, 130344, 139127, 59735, 129168, 220, 20, 13, 15, 15, 15, 129984, 128285, 97483, 128263, 94576, 220, 19, 20, 78228, 128664, 94995, 47742, 129838, 131400, 140926, 128269, 220, 17, 15, 130929, 61328, 129507, 130068, 220, 17, 16, 24, 128811, 85536, 47742, 220, 16, 130929, 129626, 128960, 13, 444, 124417, 293, 26068, 296, 124904, 128267, 128960, 15122, 128300, 220, 23, 14, 16, 16, 14, 17, 15, 15, 24, 13, 135196, 2350, 644, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659 ]
660
[ 16, 18, 129018, 270, 309, 126258, 131160, 128410, 134342, 348, 20868, 11, 128362, 305, 4076, 128450, 129222, 128683, 128585, 133318, 1163, 2185, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 128410, 128683, 128585, 78228, 128394, 133952, 133318, 1163, 2185, 128290, 220, 17, 15, 16, 20, 128267, 128960, 15122, 138770, 1527, 94576, 128300, 220, 16, 22, 12, 16, 24, 14, 20, 11, 128310, 137789, 132551, 132686, 220, 16, 17, 20, 128290, 131160, 97832, 130085, 131443, 129785, 131868, 92155, 320, 16, 24, 14, 20, 14, 16, 24, 23, 15, 12, 16, 24, 14, 20, 14, 17, 15, 16, 20, 4292, 20897, 53022, 128410, 128960, 15122, 128271, 128623, 128285, 1319, 644, 140116, 11, 128254, 128283, 78228, 135437, 128683, 128585, 129703, 136335, 11, 128788, 129222, 59735, 130008, 133318, 1163, 2185, 624, 20897, 53022, 128410, 28776, 128277, 270, 309, 94995, 59735, 220, 16, 18, 129018, 133318, 1163, 2185, 25, 663, 27924, 140304, 11, 138770, 1527, 11, 128521, 350, 125959, 11, 133314, 129336, 11, 133314, 1163, 35928, 11, 663, 125528, 131460, 21793, 26068, 11, 129329, 135241, 11, 133314, 29974, 11, 133314, 16619, 126175, 11, 129336, 140401, 11, 141425, 134315, 11, 451, 20868, 35892, 72115, 47742, 129336, 35892, 72115, 624, 53, 51947, 128427, 128456, 128678, 128394, 133952, 133318, 1163, 2185, 138120, 128403, 481, 15392, 55973, 342, 126368, 11, 128362, 305, 4076, 128450, 129222, 128683, 128585, 128394, 133952, 481, 479, 1794, 79, 128463, 128362, 128531, 135268, 135584, 128750, 128301, 11, 128300, 128410, 128960, 15122, 128271, 128623, 128285, 1319, 644, 140116, 11, 128254, 128283, 78228, 135437, 128683, 128585, 129703, 136335, 11, 128788, 129222, 59735, 130008, 133318, 1163, 2185, 13, 1163, 644, 128270, 28776, 78228, 129659, 128971, 128394, 342, 1103, 128394, 133952, 320, 83, 2185, 128320, 11, 259, 1794, 28730, 326, 124635, 11, 128826, 272, 14926, 11, 132668, 342, 125474, 1215, 128361, 128960, 11, 128449, 132786, 128450, 129222, 128683, 128585, 128788, 489, 2185, 128394, 133952, 320, 376, 125531, 130393, 131309, 128410, 128394, 342, 1103, 11, 125021, 128482, 11, 97832, 128623, 128683, 128585, 11, 129659, 128971, 128394, 2162, 11, 128394, 135343, 1215, 1163, 37059, 128531, 131399, 76, 138397, 135247, 11, 128449, 132786, 11, 133503, 293, 1953, 85636, 79479, 128683, 128585, 128788, 138397, 78228, 128394, 133952, 26, 1163, 58506, 128960, 489, 524, 128904, 128394, 133952, 624, 20897, 53022, 128410, 128683, 128585, 78228, 128394, 133952, 133318, 1163, 2185, 37915, 128277, 129065, 128683, 128585, 126370, 130179, 128465, 11, 131763, 134342, 348, 20868, 11, 129566, 342, 126368, 47742, 128362, 305, 4076, 128450, 129222, 128683, 128585, 78228, 128394, 133952, 133318, 1163, 2185, 11, 131072, 128463, 128362, 128531, 595, 20868, 128384, 11, 131619, 775, 129169, 128480, 128853, 128380, 11, 259, 20868, 129719, 2600, 128310, 128394, 26, 129023, 129677, 129045, 128573, 128498, 128301, 11, 272, 128042, 129234, 11, 128529, 132300, 135836, 128479, 129675, 128403, 128401, 128394, 624, 20897, 53022, 128410, 128320, 37915, 137789, 79668, 78228, 129018, 270, 309, 94995, 128292, 128553, 11, 489, 3441, 128726, 595, 20868, 128990, 11, 130314, 2162, 78, 128370, 128482, 2600, 78228, 128376, 11, 78228, 129857, 47742, 128329, 135774, 78228, 128394, 133952, 69086, 127980, 128978, 128265, 128431, 128482, 131368, 129414, 69086, 128289, 128943, 128855, 47742, 128362, 128531, 128683, 128585, 128324, 29974, 128924, 129263, 11, 143219, 14854, 6362, 128450, 129222, 128394, 133952, 26, 136822, 62029, 128400, 128683, 128585, 11, 128254, 270, 3441, 47742, 3845, 128717, 128250, 128289, 128336, 128283, 129203, 128575, 595, 20868, 128384, 6558, 3202, 128410, 624, 79759, 52885, 29974, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 18, 129018, 270, 309, 126258, 131160, 128410, 134342, 348, 20868, 11, 128362, 305, 4076, 128450, 129222, 128683, 128585, 133318, 1163, 2185, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 128410, 128683, 128585, 78228, 128394, 133952, 133318, 1163, 2185, 128290, 220, 17, 15, 16, 20, 128267, 128960, 15122, 138770, 1527, 94576, 128300, 220, 16, 22, 12, 16, 24, 14, 20, 11, 128310, 137789, 132551, 132686, 220, 16, 17, 20, 128290, 131160, 97832, 130085, 131443, 129785, 131868, 92155, 320, 16, 24, 14, 20, 14, 16, 24, 23, 15, 12, 16, 24, 14, 20, 14, 17, 15, 16, 20, 4292, 20897, 53022, 128410, 128960, 15122, 128271, 128623, 128285, 1319, 644, 140116, 11, 128254, 128283, 78228, 135437, 128683, 128585, 129703, 136335, 11, 128788, 129222, 59735, 130008, 133318, 1163, 2185, 624, 20897, 53022, 128410, 28776, 128277, 270, 309, 94995, 59735, 220, 16, 18, 129018, 133318, 1163, 2185, 25, 663, 27924, 140304, 11, 138770, 1527, 11, 128521, 350, 125959, 11, 133314, 129336, 11, 133314, 1163, 35928, 11, 663, 125528, 131460, 21793, 26068, 11, 129329, 135241, 11, 133314, 29974, 11, 133314, 16619, 126175, 11, 129336, 140401, 11, 141425, 134315, 11, 451, 20868, 35892, 72115, 47742, 129336, 35892, 72115, 624, 53, 51947, 128427, 128456, 128678, 128394, 133952, 133318, 1163, 2185, 138120, 128403, 481, 15392, 55973, 342, 126368, 11, 128362, 305, 4076, 128450, 129222, 128683, 128585, 128394, 133952, 481, 479, 1794, 79, 128463, 128362, 128531, 135268, 135584, 128750, 128301, 11, 128300, 128410, 128960, 15122, 128271, 128623, 128285, 1319, 644, 140116, 11, 128254, 128283, 78228, 135437, 128683, 128585, 129703, 136335, 11, 128788, 129222, 59735, 130008, 133318, 1163, 2185, 13, 1163, 644, 128270, 28776, 78228, 129659, 128971, 128394, 342, 1103, 128394, 133952, 320, 83, 2185, 128320, 11, 259, 1794, 28730, 326, 124635, 11, 128826, 272, 14926, 11, 132668, 342, 125474, 1215, 128361, 128960, 11, 128449, 132786, 128450, 129222, 128683, 128585, 128788, 489, 2185, 128394, 133952, 320, 376, 125531, 130393, 131309, 128410, 128394, 342, 1103, 11, 125021, 128482, 11, 97832, 128623, 128683, 128585, 11, 129659, 128971, 128394, 2162, 11, 128394, 135343, 1215, 1163, 37059, 128531, 131399, 76, 138397, 135247, 11, 128449, 132786, 11, 133503, 293, 1953, 85636, 79479, 128683, 128585, 128788, 138397, 78228, 128394, 133952, 26, 1163, 58506, 128960, 489, 524, 128904, 128394, 133952, 624, 20897, 53022, 128410, 128683, 128585, 78228, 128394, 133952, 133318, 1163, 2185, 37915, 128277, 129065, 128683, 128585, 126370, 130179, 128465, 11, 131763, 134342, 348, 20868, 11, 129566, 342, 126368, 47742, 128362, 305, 4076, 128450, 129222, 128683, 128585, 78228, 128394, 133952, 133318, 1163, 2185, 11, 131072, 128463, 128362, 128531, 595, 20868, 128384, 11, 131619, 775, 129169, 128480, 128853, 128380, 11, 259, 20868, 129719, 2600, 128310, 128394, 26, 129023, 129677, 129045, 128573, 128498, 128301, 11, 272, 128042, 129234, 11, 128529, 132300, 135836, 128479, 129675, 128403, 128401, 128394, 624, 20897, 53022, 128410, 128320, 37915, 137789, 79668, 78228, 129018, 270, 309, 94995, 128292, 128553, 11, 489, 3441, 128726, 595, 20868, 128990, 11, 130314, 2162, 78, 128370, 128482, 2600, 78228, 128376, 11, 78228, 129857, 47742, 128329, 135774, 78228, 128394, 133952, 69086, 127980, 128978, 128265, 128431, 128482, 131368, 129414, 69086, 128289, 128943, 128855, 47742, 128362, 128531, 128683, 128585, 128324, 29974, 128924, 129263, 11, 143219, 14854, 6362, 128450, 129222, 128394, 133952, 26, 136822, 62029, 128400, 128683, 128585, 11, 128254, 270, 3441, 47742, 3845, 128717, 128250, 128289, 128336, 128283, 129203, 128575, 595, 20868, 128384, 6558, 3202, 128410, 624, 79759, 52885, 29974, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549 ]
550
[ 46788, 125571, 128285, 128495, 130361, 128417, 137106, 11, 133503, 293, 1953, 129935, 15392, 124890, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133817, 128417, 137106, 47742, 133503, 293, 1953, 128309, 128466, 129935, 15392, 124890, 79126, 63478, 129207, 128333, 69086, 128249, 128495, 130361, 128373, 128285, 59735, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128340, 78228, 128322, 922, 276, 128542, 922, 276, 624, 20897, 53022, 220, 16, 21, 14, 16, 16, 14, 17, 15, 16, 15, 11, 547, 70366, 79126, 62029, 128370, 129935, 15392, 124890, 128269, 14854, 69243, 2350, 14926, 50327, 60257, 968, 47742, 14854, 69243, 328, 125877, 59735, 128324, 29974, 37915, 7767, 85636, 128683, 128585, 22693, 128853, 128254, 128479, 129054, 59735, 128310, 128433, 13, 3406, 88, 51580, 128333, 96535, 79126, 130314, 129935, 15392, 124890, 128350, 134059, 128314, 128449, 128269, 23165, 7431, 129623, 128249, 131309, 128410, 330, 50996, 124510, 128281, 128867, 137627, 1, 128269, 129838, 133539, 140926, 130726, 129029, 11, 28776, 128271, 128309, 128466, 128683, 128585, 11, 128717, 128353, 47742, 130700, 128329, 129566, 39486, 129659, 128427, 128254, 69086, 129935, 15392, 124890, 11, 94576, 128289, 126341, 128502, 131309, 128410, 2600, 128263, 128417, 137106, 131309, 128410, 94576, 139518, 128263, 308, 352, 13, 133817, 128417, 137106, 47742, 133503, 293, 1953, 129935, 15392, 124890, 79126, 63478, 129207, 128333, 69086, 128249, 128495, 130361, 128373, 128285, 59735, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128340, 78228, 128322, 922, 276, 128542, 922, 276, 62029, 128888, 128272, 128564, 136856, 128603, 131149, 73525, 320, 18, 15, 14, 16, 16, 568, 133884, 128906, 11, 53037, 342, 1103, 59735, 1853, 85636, 129935, 15392, 124890, 128269, 14854, 69243, 2350, 14926, 50327, 60257, 968, 47742, 14854, 69243, 328, 125877, 63478, 129207, 128333, 130068, 129838, 489, 2185, 128396, 47742, 129838, 30691, 132367, 64, 13, 647, 88771, 489, 2185, 128396, 37915, 220, 17, 128704, 128406, 25, 129935, 15392, 124890, 128269, 14854, 69243, 2350, 14926, 50327, 60257, 968, 11, 128837, 97832, 59735, 139329, 15392, 124890, 47742, 129935, 15392, 124890, 128269, 14854, 69243, 328, 125877, 11, 128837, 128585, 128672, 59735, 128251, 458, 71, 305, 88771, 279, 78, 305, 125593, 129752, 13, 647, 88771, 30691, 132367, 64, 130068, 131309, 128410, 139900, 139329, 15392, 124890, 128269, 78228, 37915, 968, 50327, 126011, 1599, 1953, 11, 444, 25232, 33282, 320, 71, 124853, 479, 685, 134925, 1215, 78228, 37915, 968, 2350, 14926, 444, 71431, 50327, 133046, 11, 663, 27924, 90453, 88602, 11, 133361, 444, 2143, 320, 71, 124853, 328, 125877, 131279, 1215, 131279, 15687, 11, 356, 11390, 20165, 5498, 11, 50327, 89208, 50327, 70680, 320, 71, 124853, 130215, 1527, 71, 1215, 133361, 350, 124491, 320, 71, 124853, 130232, 14511, 38830, 1215, 130215, 129029, 137720, 320, 71, 124853, 141948, 350, 24217, 1215, 37915, 968, 129935, 1599, 1953, 320, 2183, 72115, 5724, 12100, 27021, 8, 29070, 128521, 128685, 13, 128678, 128322, 922, 276, 128542, 922, 276, 47742, 29070, 128521, 128685, 79126, 308, 124634, 128249, 128495, 130361, 128373, 128285, 1319, 644, 140116, 79668, 128417, 137106, 1853, 85636, 129935, 15392, 124890, 13, 84137, 128270, 11, 129935, 15392, 124890, 128360, 63478, 135593, 129045, 11, 133503, 293, 1953, 129922, 142423, 79668, 130314, 2162, 78, 128370, 128482, 59735, 130700, 128329, 128265, 128309, 128466, 59735, 1853, 85636, 11, 94576, 128270, 126247, 128622, 136141, 128377, 305, 125017, 47742, 98170, 128784, 128396, 128417, 129067, 11, 128362, 305, 4076, 128309, 128466, 1853, 85636, 13, 17275, 88602, 130509, 128403, 128432, 129522, 127444, 72067, 64, 128292, 129935, 15392, 124890, 130569, 131330, 61758, 128290, 13, 141937, 128884, 129522, 127444, 72067, 64, 128292, 128265, 131309, 128410, 128877, 968, 139900, 139329, 15392, 124890, 128269, 78228, 129838, 128320, 85852, 128269, 128521, 128685, 47742, 129838, 128877, 136855, 13, 444, 36745, 98896, 95082, 128253, 128251, 128336, 128373, 131309, 128410, 11, 128943, 128855, 128311, 95082, 130483, 79126, 72, 128250, 128251, 128336, 128373, 131309, 128410, 13, 136091, 128284, 62029, 128781, 92430, 24790, 69086, 128289, 128943, 128855, 128322, 128760, 134897, 88057, 72067, 64, 128292, 128265, 129935, 15392, 124890, 128269, 78228, 37915, 968, 128542, 922, 276, 128904, 128367, 62029, 128400, 130693, 129156, 11, 128417, 137106, 47742, 128362, 305, 4076, 128309, 128466, 59735, 1853, 85636, 13, 328, 125672, 128553, 11, 129036, 128433, 11, 128507, 15122, 128607, 128324, 78228, 128683, 293, 685, 11, 129719, 128761, 11, 129222, 1319, 644, 11, 129260, 128421, 128542, 922, 276, 128263, 139329, 15392, 124890, 128269, 78228, 37915, 968, 79668, 129480, 141207, 47742, 128904, 128367, 2600, 128289, 128424, 136855, 59735, 130700, 128329, 128421, 128250, 78228, 128379, 88057, 128265, 129935, 15392, 124890, 13, 129645, 128301, 129481, 128886, 11, 128425, 128728, 128334, 129065, 2600, 22730, 140428, 128356, 132847, 129067, 7767, 128761, 128717, 128353, 14854, 69243, 2350, 14926, 50327, 60257, 968, 11, 1163, 2185, 128396, 15687, 128717, 1853, 128761, 14854, 69243, 328, 125877, 128623, 128285, 11, 128329, 128327, 133776, 142154, 92654, 128846, 128560, 131537, 128585, 11, 130514, 143449, 128585, 131309, 128410, 13, 472, 71431, 128886, 130700, 128329, 128904, 130344, 129433, 129078, 129935, 15392, 124890, 128269, 78228, 37915, 968, 2350, 14926, 444, 71431, 11, 663, 27924, 90453, 88602, 11, 133361, 444, 2143, 320, 71, 124853, 328, 125877, 131279, 1215, 131279, 15687, 1154, 356, 11390, 20165, 5498, 11, 50327, 89208, 50327, 70680, 320, 71, 124853, 130215, 1527, 71, 1215, 133361, 350, 124491, 320, 71, 124853, 130232, 14511, 38830, 1215, 130215, 129029, 137720, 320, 71, 124853, 141948, 350, 24217, 568, 33075, 1112, 472, 71431, 128886, 130700, 128329, 126341, 128502, 128377, 129270, 128356, 11, 128336, 128283, 78228, 129784, 128361, 128553, 133247, 128336, 128373, 125021, 131309, 13, 132847, 137106, 11, 134342, 128425, 128253, 1853, 85636, 128853, 128254, 128269, 14854, 69243, 2350, 14926, 50327, 60257, 968, 47742, 14854, 69243, 328, 125877, 47742, 78228, 1853, 128761, 128542, 922, 276, 13, 132590, 88057, 128585, 78228, 73586, 69220, 296, 89639, 11, 128601, 133951, 59735, 140515, 220, 126884, 72, 444, 3441, 13, 129932, 128980, 129260, 133043, 128366, 78228, 37915, 968, 139900, 128377, 139329, 15392, 124890, 128273, 128322, 128760, 78228, 22730, 23165, 124415, 128861, 128269, 78228, 37915, 968, 128283, 308, 352, 13, 50327, 97516, 92105, 128623, 128285, 59735, 1163, 2185, 128396, 15687, 128717, 7767, 128761, 14854, 69243, 328, 125877, 59735, 131210, 328, 125877, 131279, 26, 356, 128042, 129234, 11, 130314, 128376, 22730, 140428, 128356, 128417, 129067, 1853, 128761, 128717, 128353, 128683, 128585, 14854, 69243, 2350, 14926, 50327, 60257, 968, 59735, 131210, 479, 685, 134925, 47742, 78228, 8943, 129270, 128356, 1853, 128761, 78228, 14854, 69243, 139900, 139329, 15392, 124890, 128269, 78228, 37915, 968, 128320, 85852, 13, 130676, 78228, 129414, 128367, 128273, 11, 128495, 130361, 128373, 128285, 128268, 128456, 130569, 128289, 131867, 129263, 47742, 130314, 2162, 78, 128380, 128375, 78228, 128626, 132856, 128265, 129045, 136957, 139329, 15392, 124890, 136822, 128403, 128250, 129935, 15392, 124890, 26, 129367, 128744, 129203, 128333, 128880, 128273, 50327, 52551, 135322, 1091, 71, 47742, 141901, 128338, 128521, 128685, 94576, 128526, 15392, 5498, 968, 128263, 128906, 128526, 220, 19, 45333, 76, 128717, 61758, 128290, 79668, 133503, 293, 1953, 129935, 15392, 124890, 26, 20165, 125283, 23165, 125531, 47742, 129481, 128886, 130700, 128329, 128943, 128855, 489, 524, 4895, 130008, 128265, 129935, 15392, 124890, 1725, 13, 42256, 135196, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46788, 125571, 128285, 128495, 130361, 128417, 137106, 11, 133503, 293, 1953, 129935, 15392, 124890, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 133817, 128417, 137106, 47742, 133503, 293, 1953, 128309, 128466, 129935, 15392, 124890, 79126, 63478, 129207, 128333, 69086, 128249, 128495, 130361, 128373, 128285, 59735, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128340, 78228, 128322, 922, 276, 128542, 922, 276, 624, 20897, 53022, 220, 16, 21, 14, 16, 16, 14, 17, 15, 16, 15, 11, 547, 70366, 79126, 62029, 128370, 129935, 15392, 124890, 128269, 14854, 69243, 2350, 14926, 50327, 60257, 968, 47742, 14854, 69243, 328, 125877, 59735, 128324, 29974, 37915, 7767, 85636, 128683, 128585, 22693, 128853, 128254, 128479, 129054, 59735, 128310, 128433, 13, 3406, 88, 51580, 128333, 96535, 79126, 130314, 129935, 15392, 124890, 128350, 134059, 128314, 128449, 128269, 23165, 7431, 129623, 128249, 131309, 128410, 330, 50996, 124510, 128281, 128867, 137627, 1, 128269, 129838, 133539, 140926, 130726, 129029, 11, 28776, 128271, 128309, 128466, 128683, 128585, 11, 128717, 128353, 47742, 130700, 128329, 129566, 39486, 129659, 128427, 128254, 69086, 129935, 15392, 124890, 11, 94576, 128289, 126341, 128502, 131309, 128410, 2600, 128263, 128417, 137106, 131309, 128410, 94576, 139518, 128263, 308, 352, 13, 133817, 128417, 137106, 47742, 133503, 293, 1953, 129935, 15392, 124890, 79126, 63478, 129207, 128333, 69086, 128249, 128495, 130361, 128373, 128285, 59735, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128340, 78228, 128322, 922, 276, 128542, 922, 276, 62029, 128888, 128272, 128564, 136856, 128603, 131149, 73525, 320, 18, 15, 14, 16, 16, 568, 133884, 128906, 11, 53037, 342, 1103, 59735, 1853, 85636, 129935, 15392, 124890, 128269, 14854, 69243, 2350, 14926, 50327, 60257, 968, 47742, 14854, 69243, 328, 125877, 63478, 129207, 128333, 130068, 129838, 489, 2185, 128396, 47742, 129838, 30691, 132367, 64, 13, 647, 88771, 489, 2185, 128396, 37915, 220, 17, 128704, 128406, 25, 129935, 15392, 124890, 128269, 14854, 69243, 2350, 14926, 50327, 60257, 968, 11, 128837, 97832, 59735, 139329, 15392, 124890, 47742, 129935, 15392, 124890, 128269, 14854, 69243, 328, 125877, 11, 128837, 128585, 128672, 59735, 128251, 458, 71, 305, 88771, 279, 78, 305, 125593, 129752, 13, 647, 88771, 30691, 132367, 64, 130068, 131309, 128410, 139900, 139329, 15392, 124890, 128269, 78228, 37915, 968, 50327, 126011, 1599, 1953, 11, 444, 25232, 33282, 320, 71, 124853, 479, 685, 134925, 1215, 78228, 37915, 968, 2350, 14926, 444, 71431, 50327, 133046, 11, 663, 27924, 90453, 88602, 11, 133361, 444, 2143, 320, 71, 124853, 328, 125877, 131279, 1215, 131279, 15687, 11, 356, 11390, 20165, 5498, 11, 50327, 89208, 50327, 70680, 320, 71, 124853, 130215, 1527, 71, 1215, 133361, 350, 124491, 320, 71, 124853, 130232, 14511, 38830, 1215, 130215, 129029, 137720, 320, 71, 124853, 141948, 350, 24217, 1215, 37915, 968, 129935, 1599, 1953, 320, 2183, 72115, 5724, 12100, 27021, 8, 29070, 128521, 128685, 13, 128678, 128322, 922, 276, 128542, 922, 276, 47742, 29070, 128521, 128685, 79126, 308, 124634, 128249, 128495, 130361, 128373, 128285, 1319, 644, 140116, 79668, 128417, 137106, 1853, 85636, 129935, 15392, 124890, 13, 84137, 128270, 11, 129935, 15392, 124890, 128360, 63478, 135593, 129045, 11, 133503, 293, 1953, 129922, 142423, 79668, 130314, 2162, 78, 128370, 128482, 59735, 130700, 128329, 128265, 128309, 128466, 59735, 1853, 85636, 11, 94576, 128270, 126247, 128622, 136141, 128377, 305, 125017, 47742, 98170, 128784, 128396, 128417, 129067, 11, 128362, 305, 4076, 128309, 128466, 1853, 85636, 13, 17275, 88602, 130509, 128403, 128432, 129522, 127444, 72067, 64, 128292, 129935, 15392, 124890, 130569, 131330, 61758, 128290, 13, 141937, 128884, 129522, 127444, 72067, 64, 128292, 128265, 131309, 128410, 128877, 968, 139900, 139329, 15392, 124890, 128269, 78228, 129838, 128320, 85852, 128269, 128521, 128685, 47742, 129838, 128877, 136855, 13, 444, 36745, 98896, 95082, 128253, 128251, 128336, 128373, 131309, 128410, 11, 128943, 128855, 128311, 95082, 130483, 79126, 72, 128250, 128251, 128336, 128373, 131309, 128410, 13, 136091, 128284, 62029, 128781, 92430, 24790, 69086, 128289, 128943, 128855, 128322, 128760, 134897, 88057, 72067, 64, 128292, 128265, 129935, 15392, 124890, 128269, 78228, 37915, 968, 128542, 922, 276, 128904, 128367, 62029, 128400, 130693, 129156, 11, 128417, 137106, 47742, 128362, 305, 4076, 128309, 128466, 59735, 1853, 85636, 13, 328, 125672, 128553, 11, 129036, 128433, 11, 128507, 15122, 128607, 128324, 78228, 128683, 293, 685, 11, 129719, 128761, 11, 129222, 1319, 644, 11, 129260, 128421, 128542, 922, 276, 128263, 139329, 15392, 124890, 128269, 78228, 37915, 968, 79668, 129480, 141207, 47742, 128904, 128367, 2600, 128289, 128424, 136855, 59735, 130700, 128329, 128421, 128250, 78228, 128379, 88057, 128265, 129935, 15392, 124890, 13, 129645, 128301, 129481, 128886, 11, 128425, 128728, 128334, 129065, 2600, 22730, 140428, 128356, 132847, 129067, 7767, 128761, 128717, 128353, 14854, 69243, 2350, 14926, 50327, 60257, 968, 11, 1163, 2185, 128396, 15687, 128717, 1853, 128761, 14854, 69243, 328, 125877, 128623, 128285, 11, 128329, 128327, 133776, 142154, 92654, 128846, 128560, 131537, 128585, 11, 130514, 143449, 128585, 131309, 128410, 13, 472, 71431, 128886, 130700, 128329, 128904, 130344, 129433, 129078, 129935, 15392, 124890, 128269, 78228, 37915, 968, 2350, 14926, 444, 71431, 11, 663, 27924, 90453, 88602, 11, 133361, 444, 2143, 320, 71, 124853, 328, 125877, 131279, 1215, 131279, 15687, 1154, 356, 11390, 20165, 5498, 11, 50327, 89208, 50327, 70680, 320, 71, 124853, 130215, 1527, 71, 1215, 133361, 350, 124491, 320, 71, 124853, 130232, 14511, 38830, 1215, 130215, 129029, 137720, 320, 71, 124853, 141948, 350, 24217, 568, 33075, 1112, 472, 71431, 128886, 130700, 128329, 126341, 128502, 128377, 129270, 128356, 11, 128336, 128283, 78228, 129784, 128361, 128553, 133247, 128336, 128373, 125021, 131309, 13, 132847, 137106, 11, 134342, 128425, 128253, 1853, 85636, 128853, 128254, 128269, 14854, 69243, 2350, 14926, 50327, 60257, 968, 47742, 14854, 69243, 328, 125877, 47742, 78228, 1853, 128761, 128542, 922, 276, 13, 132590, 88057, 128585, 78228, 73586, 69220, 296, 89639, 11, 128601, 133951, 59735, 140515, 220, 126884, 72, 444, 3441, 13, 129932, 128980, 129260, 133043, 128366, 78228, 37915, 968, 139900, 128377, 139329, 15392, 124890, 128273, 128322, 128760, 78228, 22730, 23165, 124415, 128861, 128269, 78228, 37915, 968, 128283, 308, 352, 13, 50327, 97516, 92105, 128623, 128285, 59735, 1163, 2185, 128396, 15687, 128717, 7767, 128761, 14854, 69243, 328, 125877, 59735, 131210, 328, 125877, 131279, 26, 356, 128042, 129234, 11, 130314, 128376, 22730, 140428, 128356, 128417, 129067, 1853, 128761, 128717, 128353, 128683, 128585, 14854, 69243, 2350, 14926, 50327, 60257, 968, 59735, 131210, 479, 685, 134925, 47742, 78228, 8943, 129270, 128356, 1853, 128761, 78228, 14854, 69243, 139900, 139329, 15392, 124890, 128269, 78228, 37915, 968, 128320, 85852, 13, 130676, 78228, 129414, 128367, 128273, 11, 128495, 130361, 128373, 128285, 128268, 128456, 130569, 128289, 131867, 129263, 47742, 130314, 2162, 78, 128380, 128375, 78228, 128626, 132856, 128265, 129045, 136957, 139329, 15392, 124890, 136822, 128403, 128250, 129935, 15392, 124890, 26, 129367, 128744, 129203, 128333, 128880, 128273, 50327, 52551, 135322, 1091, 71, 47742, 141901, 128338, 128521, 128685, 94576, 128526, 15392, 5498, 968, 128263, 128906, 128526, 220, 19, 45333, 76, 128717, 61758, 128290, 79668, 133503, 293, 1953, 129935, 15392, 124890, 26, 20165, 125283, 23165, 125531, 47742, 129481, 128886, 130700, 128329, 128943, 128855, 489, 524, 4895, 130008, 128265, 129935, 15392, 124890, 1725, 13, 42256, 135196, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124 ]
1,125
[ 1282, 92302, 128424, 25, 547, 17, 18, 128324, 29974, 220, 15, 12, 15, 547, 17, 18, 444, 125017, 320, 6023, 125452, 220, 16, 340, 7, 1143, 20868, 759, 84, 75157, 8, 481, 1163, 72115, 129507, 129181, 220, 17, 129188, 128802, 128278, 86139, 128730, 220, 16, 24, 71, 16, 20, 128273, 130514, 129984, 128285, 1863, 75146, 663, 20679, 11, 128799, 130287, 98073, 5355, 72, 350, 672, 11, 52355, 624, 34, 29341, 128451, 128799, 128324, 29974, 11, 32154, 130121, 270, 4284, 20539, 125021, 124382, 7777, 3202, 220, 20, 128300, 128371, 11, 130203, 86139, 130121, 128720, 220, 18, 134597, 425, 96535, 128250, 129470, 128599, 132932, 308, 39938, 128282, 131457, 444, 125017, 128411, 79668, 28776, 128254, 128424, 128884, 6275, 130949, 139833, 44065, 86139, 128627, 128403, 624, 1282, 644, 130121, 129507, 128727, 128403, 133600, 128268, 69086, 138411, 133787, 134597, 362, 11, 20539, 79126, 134650, 130669, 220, 16, 12, 16, 128371, 27696, 13, 138458, 128338, 96535, 129357, 128893, 78228, 128451, 128799, 547, 17, 18, 128324, 29974, 129949, 129470, 128599, 132932, 308, 39938, 94994, 129233, 129188, 547, 17, 18, 444, 125017, 624, 40225, 124489, 128338, 128415, 128362, 510, 45351, 124778, 128884, 130569, 131330, 9338, 34, 29341, 128451, 128799, 128324, 29974, 85852, 129017, 326, 125726, 128322, 128410, 342, 6023, 129030, 128269, 130747, 128720, 220, 22, 624, 3357, 124931, 128720, 220, 21, 11, 32154, 128448, 521, 125593, 521, 82026, 595, 383, 59735, 63813, 131279, 128608, 129854, 134374, 128282, 11, 132644, 92155, 140593, 79126, 28776, 128322, 128410, 128421, 128387, 128250, 128799, 130929, 547, 17, 18, 128344, 53037, 64061, 62029, 624, 3357, 124931, 128720, 220, 19, 11, 129188, 444, 125017, 126341, 128502, 133270, 62029, 128949, 17669, 128269, 128608, 134374, 128282, 547, 17, 18, 128324, 29974, 624, 53, 124626, 3406, 88, 51580, 14854, 94313, 129108, 128608, 134374, 130641, 128558, 521, 125593, 129590, 28240, 134374, 128282, 2600, 63813, 131279, 128269, 130747, 128720, 220, 18, 128344, 1319, 64, 129590, 96535, 79126, 53037, 64061, 62029, 624, 1282, 72115, 129507, 128802, 128278, 13, 547, 17, 18, 128324, 29974, 63478, 342, 22516, 129590, 128371, 624, 34, 29341, 128451, 128799, 547, 17, 18, 128324, 29974, 15122, 129866, 128250, 489, 524, 128904, 128865, 131928, 11, 128320, 78228, 128451, 128799, 444, 125017, 50196, 489, 524, 128904, 128865, 130595, 624, 34, 29341, 128451, 128799, 128802, 128278, 131309, 139548, 272, 76294, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1282, 92302, 128424, 25, 547, 17, 18, 128324, 29974, 220, 15, 12, 15, 547, 17, 18, 444, 125017, 320, 6023, 125452, 220, 16, 340, 7, 1143, 20868, 759, 84, 75157, 8, 481, 1163, 72115, 129507, 129181, 220, 17, 129188, 128802, 128278, 86139, 128730, 220, 16, 24, 71, 16, 20, 128273, 130514, 129984, 128285, 1863, 75146, 663, 20679, 11, 128799, 130287, 98073, 5355, 72, 350, 672, 11, 52355, 624, 34, 29341, 128451, 128799, 128324, 29974, 11, 32154, 130121, 270, 4284, 20539, 125021, 124382, 7777, 3202, 220, 20, 128300, 128371, 11, 130203, 86139, 130121, 128720, 220, 18, 134597, 425, 96535, 128250, 129470, 128599, 132932, 308, 39938, 128282, 131457, 444, 125017, 128411, 79668, 28776, 128254, 128424, 128884, 6275, 130949, 139833, 44065, 86139, 128627, 128403, 624, 1282, 644, 130121, 129507, 128727, 128403, 133600, 128268, 69086, 138411, 133787, 134597, 362, 11, 20539, 79126, 134650, 130669, 220, 16, 12, 16, 128371, 27696, 13, 138458, 128338, 96535, 129357, 128893, 78228, 128451, 128799, 547, 17, 18, 128324, 29974, 129949, 129470, 128599, 132932, 308, 39938, 94994, 129233, 129188, 547, 17, 18, 444, 125017, 624, 40225, 124489, 128338, 128415, 128362, 510, 45351, 124778, 128884, 130569, 131330, 9338, 34, 29341, 128451, 128799, 128324, 29974, 85852, 129017, 326, 125726, 128322, 128410, 342, 6023, 129030, 128269, 130747, 128720, 220, 22, 624, 3357, 124931, 128720, 220, 21, 11, 32154, 128448, 521, 125593, 521, 82026, 595, 383, 59735, 63813, 131279, 128608, 129854, 134374, 128282, 11, 132644, 92155, 140593, 79126, 28776, 128322, 128410, 128421, 128387, 128250, 128799, 130929, 547, 17, 18, 128344, 53037, 64061, 62029, 624, 3357, 124931, 128720, 220, 19, 11, 129188, 444, 125017, 126341, 128502, 133270, 62029, 128949, 17669, 128269, 128608, 134374, 128282, 547, 17, 18, 128324, 29974, 624, 53, 124626, 3406, 88, 51580, 14854, 94313, 129108, 128608, 134374, 130641, 128558, 521, 125593, 129590, 28240, 134374, 128282, 2600, 63813, 131279, 128269, 130747, 128720, 220, 18, 128344, 1319, 64, 129590, 96535, 79126, 53037, 64061, 62029, 624, 1282, 72115, 129507, 128802, 128278, 13, 547, 17, 18, 128324, 29974, 63478, 342, 22516, 129590, 128371, 624, 34, 29341, 128451, 128799, 547, 17, 18, 128324, 29974, 15122, 129866, 128250, 489, 524, 128904, 128865, 131928, 11, 128320, 78228, 128451, 128799, 444, 125017, 50196, 489, 524, 128904, 128865, 130595, 624, 34, 29341, 128451, 128799, 128802, 128278, 131309, 139548, 272, 76294, 624, 151645 ]
[ 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
[ 45351, 124778, 128884, 128643, 130509, 126258, 128595, 136786, 126370, 130361, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 84137, 130303, 128603, 128403, 129748, 59735, 130390, 131943, 128984, 350, 124644, 142840, 128272, 128564, 136856, 2600, 128431, 128935, 128265, 128333, 128846, 128943, 128855, 126258, 128595, 136786, 126370, 130361, 11, 130390, 131943, 129591, 130388, 128498, 128451, 129029, 730, 26068, 130361, 47742, 137720, 128379, 128427, 132630, 11, 131628, 128319, 128250, 78228, 129029, 11, 128322, 922, 276, 128542, 922, 276, 128424, 128884, 130693, 129156, 11, 128643, 130509, 126258, 128595, 136786, 96535, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 34, 50483, 128254, 11, 128360, 128266, 129398, 128277, 128360, 128422, 59735, 126258, 128595, 136786, 128250, 39486, 129659, 128425, 128980, 138411, 133787, 128513, 128356, 128573, 128281, 79668, 129270, 128356, 78228, 128433, 126370, 130361, 11, 128417, 129551, 128439, 128573, 128281, 11, 128720, 138270, 11, 128329, 128366, 11, 128423, 128432, 59735, 78228, 128433, 126370, 130361, 26, 130693, 129156, 11, 128826, 128309, 129433, 129078, 11, 128401, 129054, 78228, 128433, 126370, 130361, 11, 134666, 922, 276, 128457, 129181, 78228, 128433, 126370, 130361, 128250, 78228, 128427, 140996, 11, 128311, 95082, 11, 78228, 129009, 136312, 128362, 128531, 59735, 134355, 47742, 129645, 128301, 26, 130693, 129156, 11, 128509, 137154, 595, 20868, 128990, 128664, 128384, 79668, 129470, 128284, 128421, 128250, 128301, 9450, 624, 1282, 27021, 128322, 128760, 128270, 11, 129207, 128333, 129398, 130375, 3275, 11, 128421, 129014, 128334, 132314, 59735, 126258, 128595, 136786, 11, 129207, 128333, 78228, 128580, 128456, 128336, 128277, 128360, 128422, 128334, 132314, 128411, 136786, 11, 129831, 128319, 128250, 128254, 128751, 595, 20868, 128384, 126260, 128331, 128333, 128846, 128847, 128410, 128427, 129598, 11, 126341, 128502, 128366, 128392, 129270, 128356, 11, 128417, 129551, 128439, 129363, 61328, 59735, 126258, 128595, 136786, 69086, 128459, 128361, 128531, 23165, 2143, 11, 128336, 128283, 624, 34, 69611, 435, 6362, 134814, 11, 130693, 129156, 11, 128826, 128309, 128401, 129054, 128265, 126370, 130361, 129822, 128254, 128664, 94995, 69086, 134666, 922, 276, 128457, 128250, 78228, 128427, 140996, 11, 128311, 95082, 11, 129009, 136312, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 59735, 134355, 11, 128494, 128410, 11, 129591, 130388, 26, 73525, 128270, 11, 128266, 129398, 128277, 128360, 128422, 47742, 128439, 129363, 61328, 59735, 126370, 130361, 129822, 128254, 595, 20868, 128384, 481, 128847, 128410, 128664, 94995, 26, 128486, 128784, 78228, 348, 125097, 131880, 69086, 62029, 128400, 126370, 130361, 128269, 134059, 128664, 94995, 28776, 128439, 128380, 128542, 129857, 11, 128542, 129838, 624, 45, 75076, 27021, 129156, 129270, 128356, 126370, 130361, 279, 78, 78228, 129838, 595, 20868, 128384, 481, 128847, 128410, 26, 128417, 129551, 39486, 129659, 128334, 131628, 11, 129270, 128356, 128573, 128281, 47742, 128553, 489, 2185, 59735, 129591, 130388, 128421, 128250, 78228, 129838, 69086, 125440, 128301, 26, 128486, 128784, 128423, 128432, 11, 128329, 128366, 78228, 128580, 128456, 126370, 130361, 128362, 128531, 11, 128362, 305, 4076, 129738, 128599, 69086, 128811, 128366, 129838, 26, 128529, 132300, 128542, 128403, 129838, 26, 136822, 128403, 128329, 128366, 126370, 130361, 129838, 128250, 126370, 130361, 129857, 11, 132122, 128978, 624, 45, 75076, 27021, 129156, 279, 78, 128846, 129705, 128254, 128585, 11, 128531, 23165, 2143, 126370, 130361, 129838, 26, 126370, 130361, 129822, 128254, 128376, 129018, 293, 3441, 922, 16685, 521, 2185, 128333, 128846, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 128263, 128376, 131210, 11, 128847, 26, 136822, 128403, 128329, 128366, 126370, 130361, 129822, 128254, 595, 20868, 128384, 481, 128847, 128410, 128376, 129018, 128250, 126370, 130361, 128353, 128284, 128750, 11, 126370, 130361, 130287, 126260, 11, 126370, 130361, 78228, 129857, 11, 132122, 128978, 131140, 131520, 128550, 129553, 128260, 25, 128943, 128855, 11, 342, 22516, 92430, 26, 128826, 128309, 128277, 128360, 128422, 126370, 128333, 126370, 130361, 129822, 128254, 595, 20868, 128384, 481, 128847, 128410, 128376, 131210, 11, 128847, 624, 53, 39938, 126370, 130361, 129857, 11, 85636, 79479, 11, 98127, 126370, 130361, 128421, 128250, 78228, 129857, 11, 132122, 128978, 128403, 133795, 131140, 131520, 922, 276, 128550, 128260, 126370, 130361, 128353, 128284, 128750, 11, 128943, 128855, 11, 130287, 126260, 17669, 129857, 11, 132122, 128978, 128353, 128284, 128556, 129031, 128260, 25, 128750, 11, 128301, 11, 137730, 11, 72067, 124397, 85636, 47742, 78228, 132122, 128978, 131140, 131520, 128847, 128410, 128550, 129553, 26, 130008, 128421, 128250, 126370, 130361, 53037, 342, 1103, 128260, 126370, 130361, 128353, 128284, 128750, 11, 128943, 128855, 11, 130287, 126260, 11, 132234, 138757, 128360, 128422, 128282, 28776, 126370, 130361, 79668, 129270, 128356, 128263, 128376, 128847, 13, 129182, 128980, 126370, 130361, 128421, 128250, 85636, 79479, 11, 129857, 132197, 129705, 128254, 11, 128336, 128283, 129270, 128356, 11, 128362, 128531, 78228, 85636, 79479, 11, 129857, 132197, 92430, 73525, 78228, 129784, 128361, 11, 128456, 128595, 11, 126258, 128595, 129831, 128319, 128250, 78228, 128334, 129065, 59735, 126260, 128331, 624, 1282, 644, 128327, 342, 1103, 136786, 96535, 128651, 63478, 8943, 128373, 11, 130390, 131943, 129591, 130388, 128498, 128451, 78228, 129029, 11, 129857, 11, 128704, 128675, 128427, 128285, 435, 6362, 134814, 11, 128826, 128309, 128336, 129916, 128336, 128283, 78228, 128433, 126370, 130361, 26, 856, 336, 130985, 129433, 129078, 128277, 128360, 128422, 128334, 132314, 126370, 130361, 11, 128980, 126370, 130361, 92105, 26, 137288, 128327, 128486, 128784, 11, 270, 77689, 342, 125726, 78228, 128580, 128456, 128633, 130569, 11, 128639, 130909, 11, 348, 125097, 131880, 69086, 62029, 128400, 126370, 130361, 11, 128580, 128456, 132629, 133024, 128918, 128603, 129410, 130390, 131943, 129591, 130388, 856, 336, 130985, 11, 128784, 128333, 131763, 128425, 128334, 129065, 131678, 128994, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 45351, 124778, 128884, 128643, 130509, 126258, 128595, 136786, 126370, 130361, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 84137, 130303, 128603, 128403, 129748, 59735, 130390, 131943, 128984, 350, 124644, 142840, 128272, 128564, 136856, 2600, 128431, 128935, 128265, 128333, 128846, 128943, 128855, 126258, 128595, 136786, 126370, 130361, 11, 130390, 131943, 129591, 130388, 128498, 128451, 129029, 730, 26068, 130361, 47742, 137720, 128379, 128427, 132630, 11, 131628, 128319, 128250, 78228, 129029, 11, 128322, 922, 276, 128542, 922, 276, 128424, 128884, 130693, 129156, 11, 128643, 130509, 126258, 128595, 136786, 96535, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 34, 50483, 128254, 11, 128360, 128266, 129398, 128277, 128360, 128422, 59735, 126258, 128595, 136786, 128250, 39486, 129659, 128425, 128980, 138411, 133787, 128513, 128356, 128573, 128281, 79668, 129270, 128356, 78228, 128433, 126370, 130361, 11, 128417, 129551, 128439, 128573, 128281, 11, 128720, 138270, 11, 128329, 128366, 11, 128423, 128432, 59735, 78228, 128433, 126370, 130361, 26, 130693, 129156, 11, 128826, 128309, 129433, 129078, 11, 128401, 129054, 78228, 128433, 126370, 130361, 11, 134666, 922, 276, 128457, 129181, 78228, 128433, 126370, 130361, 128250, 78228, 128427, 140996, 11, 128311, 95082, 11, 78228, 129009, 136312, 128362, 128531, 59735, 134355, 47742, 129645, 128301, 26, 130693, 129156, 11, 128509, 137154, 595, 20868, 128990, 128664, 128384, 79668, 129470, 128284, 128421, 128250, 128301, 9450, 624, 1282, 27021, 128322, 128760, 128270, 11, 129207, 128333, 129398, 130375, 3275, 11, 128421, 129014, 128334, 132314, 59735, 126258, 128595, 136786, 11, 129207, 128333, 78228, 128580, 128456, 128336, 128277, 128360, 128422, 128334, 132314, 128411, 136786, 11, 129831, 128319, 128250, 128254, 128751, 595, 20868, 128384, 126260, 128331, 128333, 128846, 128847, 128410, 128427, 129598, 11, 126341, 128502, 128366, 128392, 129270, 128356, 11, 128417, 129551, 128439, 129363, 61328, 59735, 126258, 128595, 136786, 69086, 128459, 128361, 128531, 23165, 2143, 11, 128336, 128283, 624, 34, 69611, 435, 6362, 134814, 11, 130693, 129156, 11, 128826, 128309, 128401, 129054, 128265, 126370, 130361, 129822, 128254, 128664, 94995, 69086, 134666, 922, 276, 128457, 128250, 78228, 128427, 140996, 11, 128311, 95082, 11, 129009, 136312, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 59735, 134355, 11, 128494, 128410, 11, 129591, 130388, 26, 73525, 128270, 11, 128266, 129398, 128277, 128360, 128422, 47742, 128439, 129363, 61328, 59735, 126370, 130361, 129822, 128254, 595, 20868, 128384, 481, 128847, 128410, 128664, 94995, 26, 128486, 128784, 78228, 348, 125097, 131880, 69086, 62029, 128400, 126370, 130361, 128269, 134059, 128664, 94995, 28776, 128439, 128380, 128542, 129857, 11, 128542, 129838, 624, 45, 75076, 27021, 129156, 129270, 128356, 126370, 130361, 279, 78, 78228, 129838, 595, 20868, 128384, 481, 128847, 128410, 26, 128417, 129551, 39486, 129659, 128334, 131628, 11, 129270, 128356, 128573, 128281, 47742, 128553, 489, 2185, 59735, 129591, 130388, 128421, 128250, 78228, 129838, 69086, 125440, 128301, 26, 128486, 128784, 128423, 128432, 11, 128329, 128366, 78228, 128580, 128456, 126370, 130361, 128362, 128531, 11, 128362, 305, 4076, 129738, 128599, 69086, 128811, 128366, 129838, 26, 128529, 132300, 128542, 128403, 129838, 26, 136822, 128403, 128329, 128366, 126370, 130361, 129838, 128250, 126370, 130361, 129857, 11, 132122, 128978, 624, 45, 75076, 27021, 129156, 279, 78, 128846, 129705, 128254, 128585, 11, 128531, 23165, 2143, 126370, 130361, 129838, 26, 126370, 130361, 129822, 128254, 128376, 129018, 293, 3441, 922, 16685, 521, 2185, 128333, 128846, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 128263, 128376, 131210, 11, 128847, 26, 136822, 128403, 128329, 128366, 126370, 130361, 129822, 128254, 595, 20868, 128384, 481, 128847, 128410, 128376, 129018, 128250, 126370, 130361, 128353, 128284, 128750, 11, 126370, 130361, 130287, 126260, 11, 126370, 130361, 78228, 129857, 11, 132122, 128978, 131140, 131520, 128550, 129553, 128260, 25, 128943, 128855, 11, 342, 22516, 92430, 26, 128826, 128309, 128277, 128360, 128422, 126370, 128333, 126370, 130361, 129822, 128254, 595, 20868, 128384, 481, 128847, 128410, 128376, 131210, 11, 128847, 624, 53, 39938, 126370, 130361, 129857, 11, 85636, 79479, 11, 98127, 126370, 130361, 128421, 128250, 78228, 129857, 11, 132122, 128978, 128403, 133795, 131140, 131520, 922, 276, 128550, 128260, 126370, 130361, 128353, 128284, 128750, 11, 128943, 128855, 11, 130287, 126260, 17669, 129857, 11, 132122, 128978, 128353, 128284, 128556, 129031, 128260, 25, 128750, 11, 128301, 11, 137730, 11, 72067, 124397, 85636, 47742, 78228, 132122, 128978, 131140, 131520, 128847, 128410, 128550, 129553, 26, 130008, 128421, 128250, 126370, 130361, 53037, 342, 1103, 128260, 126370, 130361, 128353, 128284, 128750, 11, 128943, 128855, 11, 130287, 126260, 11, 132234, 138757, 128360, 128422, 128282, 28776, 126370, 130361, 79668, 129270, 128356, 128263, 128376, 128847, 13, 129182, 128980, 126370, 130361, 128421, 128250, 85636, 79479, 11, 129857, 132197, 129705, 128254, 11, 128336, 128283, 129270, 128356, 11, 128362, 128531, 78228, 85636, 79479, 11, 129857, 132197, 92430, 73525, 78228, 129784, 128361, 11, 128456, 128595, 11, 126258, 128595, 129831, 128319, 128250, 78228, 128334, 129065, 59735, 126260, 128331, 624, 1282, 644, 128327, 342, 1103, 136786, 96535, 128651, 63478, 8943, 128373, 11, 130390, 131943, 129591, 130388, 128498, 128451, 78228, 129029, 11, 129857, 11, 128704, 128675, 128427, 128285, 435, 6362, 134814, 11, 128826, 128309, 128336, 129916, 128336, 128283, 78228, 128433, 126370, 130361, 26, 856, 336, 130985, 129433, 129078, 128277, 128360, 128422, 128334, 132314, 126370, 130361, 11, 128980, 126370, 130361, 92105, 26, 137288, 128327, 128486, 128784, 11, 270, 77689, 342, 125726, 78228, 128580, 128456, 128633, 130569, 11, 128639, 130909, 11, 348, 125097, 131880, 69086, 62029, 128400, 126370, 130361, 11, 128580, 128456, 132629, 133024, 128918, 128603, 129410, 130390, 131943, 129591, 130388, 856, 336, 130985, 11, 128784, 128333, 131763, 128425, 128334, 129065, 131678, 128994, 128362, 128531, 595, 20868, 128384, 481, 128847, 128410, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873 ]
874
[ 1001, 48291, 128980, 131431, 129393, 128292, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 663, 27924, 140304, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 128784, 128333, 64061, 128980, 131431, 129393, 128292, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 663, 27924, 140304, 128273, 128322, 128760, 130314, 128376, 131431, 356, 3441, 136338, 129126, 128585, 481, 138770, 128859, 663, 27924, 140304, 624, 1282, 77869, 129393, 128292, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 663, 27924, 140304, 37915, 128322, 128760, 129023, 129677, 128479, 128292, 62029, 128980, 11, 129372, 129281, 73061, 8065, 129018, 663, 27924, 140304, 11, 28776, 128379, 128328, 128513, 128310, 11, 390, 131575, 47742, 128556, 130042, 130008, 13, 131431, 128623, 128285, 279, 78, 130406, 130554, 128331, 128479, 128292, 8943, 128373, 136944, 279, 78, 3406, 88, 51580, 128333, 65526, 220, 20, 23, 14, 17, 15, 16, 15, 45274, 40225, 9285, 51, 70, 128300, 220, 17, 17, 14, 24, 14, 17, 15, 16, 15, 47742, 3406, 88, 51580, 128333, 65526, 220, 15, 22, 14, 17, 15, 15, 24, 45274, 40225, 9285, 51, 70, 128300, 220, 16, 20, 14, 16, 14, 17, 15, 15, 24, 59735, 130390, 131943, 129591, 130388, 128265, 128334, 129065, 47742, 128799, 128884, 64061, 128980, 11, 128890, 98127, 128623, 128285, 11, 274, 125478, 62572, 11, 521, 685, 11, 259, 53061, 11, 128486, 128254, 128331, 128479, 128292, 13, 129029, 133218, 129677, 47742, 50327, 125017, 128425, 28776, 131368, 129414, 129522, 9586, 78228, 128334, 129065, 128417, 129551, 128380, 128375, 128371, 94994, 2600, 130224, 129367, 129857, 131912, 128425, 128479, 128292, 47742, 131535, 97832, 13, 135632, 128345, 11, 131431, 129393, 128292, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 663, 27924, 140304, 128515, 128672, 37915, 128331, 129582, 128376, 128683, 128585, 128781, 128859, 63478, 64061, 128980, 94576, 128290, 220, 16, 24, 21, 22, 47742, 128570, 64061, 128331, 489, 2185, 128292, 86139, 128300, 220, 20, 14, 16, 15, 14, 16, 24, 22, 23, 32154, 130314, 128376, 128350, 131431, 356, 3441, 136338, 86139, 128290, 220, 17, 15, 15, 19, 13, 129496, 128304, 220, 19, 15, 128290, 128943, 128855, 47742, 129528, 64061, 11, 131431, 79126, 28776, 128271, 64061, 128761, 69086, 62029, 128400, 131912, 128425, 132356, 128366, 128386, 128367, 129126, 128585, 130303, 24790, 47742, 128960, 97483, 128781, 128859, 2600, 1319, 644, 489, 125017, 129126, 128585, 481, 129126, 128781, 132543, 128347, 13, 129645, 128331, 28776, 128304, 220, 16, 18, 15, 132356, 128366, 137384, 97483, 11, 69086, 128270, 28776, 220, 17, 129263, 274, 125093, 11, 220, 16, 23, 270, 124904, 274, 125093, 47742, 220, 20, 16, 128479, 128292, 13, 3406, 88, 130179, 131912, 128425, 59735, 128275, 128331, 28776, 129168, 220, 16, 18, 128744, 129857, 320, 50, 18934, 130375, 129610, 131245, 11, 328, 18934, 130375, 128819, 128859, 11, 50327, 88316, 73586, 125115, 328, 39392, 143449, 11, 141351, 97483, 130514, 143449, 11, 140428, 128356, 129126, 128585, 11, 129935, 126247, 64, 11, 136745, 128653, 97483, 3845, 128717, 11, 328, 124397, 128400, 129610, 131245, 11, 663, 27924, 131245, 11, 90453, 124904, 129705, 11, 130303, 24790, 138532, 129972, 6882, 79126, 131072, 128463, 129861, 130291, 2600, 131912, 128425, 129738, 128310, 128599, 79668, 128362, 128531, 128277, 128386, 129126, 128585, 130303, 24790, 220, 138770, 128859, 59735, 128704, 128675, 13, 1527, 71, 20165, 124312, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 48291, 128980, 131431, 129393, 128292, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 663, 27924, 140304, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 128784, 128333, 64061, 128980, 131431, 129393, 128292, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 663, 27924, 140304, 128273, 128322, 128760, 130314, 128376, 131431, 356, 3441, 136338, 129126, 128585, 481, 138770, 128859, 663, 27924, 140304, 624, 1282, 77869, 129393, 128292, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 663, 27924, 140304, 37915, 128322, 128760, 129023, 129677, 128479, 128292, 62029, 128980, 11, 129372, 129281, 73061, 8065, 129018, 663, 27924, 140304, 11, 28776, 128379, 128328, 128513, 128310, 11, 390, 131575, 47742, 128556, 130042, 130008, 13, 131431, 128623, 128285, 279, 78, 130406, 130554, 128331, 128479, 128292, 8943, 128373, 136944, 279, 78, 3406, 88, 51580, 128333, 65526, 220, 20, 23, 14, 17, 15, 16, 15, 45274, 40225, 9285, 51, 70, 128300, 220, 17, 17, 14, 24, 14, 17, 15, 16, 15, 47742, 3406, 88, 51580, 128333, 65526, 220, 15, 22, 14, 17, 15, 15, 24, 45274, 40225, 9285, 51, 70, 128300, 220, 16, 20, 14, 16, 14, 17, 15, 15, 24, 59735, 130390, 131943, 129591, 130388, 128265, 128334, 129065, 47742, 128799, 128884, 64061, 128980, 11, 128890, 98127, 128623, 128285, 11, 274, 125478, 62572, 11, 521, 685, 11, 259, 53061, 11, 128486, 128254, 128331, 128479, 128292, 13, 129029, 133218, 129677, 47742, 50327, 125017, 128425, 28776, 131368, 129414, 129522, 9586, 78228, 128334, 129065, 128417, 129551, 128380, 128375, 128371, 94994, 2600, 130224, 129367, 129857, 131912, 128425, 128479, 128292, 47742, 131535, 97832, 13, 135632, 128345, 11, 131431, 129393, 128292, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 663, 27924, 140304, 128515, 128672, 37915, 128331, 129582, 128376, 128683, 128585, 128781, 128859, 63478, 64061, 128980, 94576, 128290, 220, 16, 24, 21, 22, 47742, 128570, 64061, 128331, 489, 2185, 128292, 86139, 128300, 220, 20, 14, 16, 15, 14, 16, 24, 22, 23, 32154, 130314, 128376, 128350, 131431, 356, 3441, 136338, 86139, 128290, 220, 17, 15, 15, 19, 13, 129496, 128304, 220, 19, 15, 128290, 128943, 128855, 47742, 129528, 64061, 11, 131431, 79126, 28776, 128271, 64061, 128761, 69086, 62029, 128400, 131912, 128425, 132356, 128366, 128386, 128367, 129126, 128585, 130303, 24790, 47742, 128960, 97483, 128781, 128859, 2600, 1319, 644, 489, 125017, 129126, 128585, 481, 129126, 128781, 132543, 128347, 13, 129645, 128331, 28776, 128304, 220, 16, 18, 15, 132356, 128366, 137384, 97483, 11, 69086, 128270, 28776, 220, 17, 129263, 274, 125093, 11, 220, 16, 23, 270, 124904, 274, 125093, 47742, 220, 20, 16, 128479, 128292, 13, 3406, 88, 130179, 131912, 128425, 59735, 128275, 128331, 28776, 129168, 220, 16, 18, 128744, 129857, 320, 50, 18934, 130375, 129610, 131245, 11, 328, 18934, 130375, 128819, 128859, 11, 50327, 88316, 73586, 125115, 328, 39392, 143449, 11, 141351, 97483, 130514, 143449, 11, 140428, 128356, 129126, 128585, 11, 129935, 126247, 64, 11, 136745, 128653, 97483, 3845, 128717, 11, 328, 124397, 128400, 129610, 131245, 11, 663, 27924, 131245, 11, 90453, 124904, 129705, 11, 130303, 24790, 138532, 129972, 6882, 79126, 131072, 128463, 129861, 130291, 2600, 131912, 128425, 129738, 128310, 128599, 79668, 128362, 128531, 128277, 128386, 129126, 128585, 130303, 24790, 220, 138770, 128859, 59735, 128704, 128675, 13, 1527, 71, 20165, 124312, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524 ]
525
[ 1001, 352, 128726, 220, 17, 142394, 97483, 142394, 8943, 1527, 128401, 342, 22516, 92430, 128494, 94995, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 128984, 350, 124644, 142840, 128727, 129212, 3406, 88, 51580, 128333, 270, 352, 128726, 128249, 65526, 64061, 97483, 142394, 8943, 1527, 128401, 342, 22516, 92430, 128494, 94995, 624, 785, 78, 128270, 11, 128436, 132644, 92155, 140593, 11, 133761, 130017, 137295, 133796, 50327, 52551, 22325, 26068, 968, 128339, 128324, 29974, 270, 352, 128314, 128436, 132644, 131039, 11, 133761, 130017, 137295, 133796, 50327, 52551, 22325, 26068, 968, 128339, 128324, 29974, 128266, 142394, 97483, 142394, 8943, 1527, 128401, 342, 22516, 92430, 128494, 94995, 624, 131371, 968, 128984, 386, 125092, 142840, 11, 134082, 129101, 22730, 132677, 128373, 1163, 2185, 220, 85375, 138120, 663, 27924, 132883, 138465, 85636, 129785, 131868, 92155, 11, 270, 352, 128314, 128436, 2350, 276, 129126, 386, 126175, 11, 134082, 129101, 1163, 2185, 220, 85375, 138120, 663, 27924, 132883, 138465, 85636, 129785, 131868, 92155, 128266, 142394, 97483, 142394, 8943, 1527, 128401, 342, 22516, 92430, 128494, 94995, 624, 2183, 124504, 128521, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 352, 128726, 220, 17, 142394, 97483, 142394, 8943, 1527, 128401, 342, 22516, 92430, 128494, 94995, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 128984, 350, 124644, 142840, 128727, 129212, 3406, 88, 51580, 128333, 270, 352, 128726, 128249, 65526, 64061, 97483, 142394, 8943, 1527, 128401, 342, 22516, 92430, 128494, 94995, 624, 785, 78, 128270, 11, 128436, 132644, 92155, 140593, 11, 133761, 130017, 137295, 133796, 50327, 52551, 22325, 26068, 968, 128339, 128324, 29974, 270, 352, 128314, 128436, 132644, 131039, 11, 133761, 130017, 137295, 133796, 50327, 52551, 22325, 26068, 968, 128339, 128324, 29974, 128266, 142394, 97483, 142394, 8943, 1527, 128401, 342, 22516, 92430, 128494, 94995, 624, 131371, 968, 128984, 386, 125092, 142840, 11, 134082, 129101, 22730, 132677, 128373, 1163, 2185, 220, 85375, 138120, 663, 27924, 132883, 138465, 85636, 129785, 131868, 92155, 11, 270, 352, 128314, 128436, 2350, 276, 129126, 386, 126175, 11, 134082, 129101, 1163, 2185, 220, 85375, 138120, 663, 27924, 132883, 138465, 85636, 129785, 131868, 92155, 128266, 142394, 97483, 142394, 8943, 1527, 128401, 342, 22516, 92430, 128494, 94995, 624, 2183, 124504, 128521, 624, 151645 ]
[ 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
[ 42, 25214, 133457, 11, 128362, 305, 4076, 128304, 128870, 141673, 128365, 128362, 128531, 131638, 130751, 128494, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 84137, 98127, 128854, 59735, 133761, 130390, 131943, 128984, 133361, 2350, 124411, 11, 129018, 29458, 27021, 15392, 524, 128360, 131969, 128643, 132314, 142303, 128595, 64061, 128980, 135359, 127980, 595, 20868, 128384, 130751, 128494, 79668, 128361, 129029, 129591, 128466, 856, 336, 130985, 11, 128784, 128333, 26, 23165, 2143, 133457, 11, 128362, 305, 4076, 128304, 128870, 141673, 128365, 128362, 128531, 131638, 130751, 128494, 624, 126884, 20303, 1308, 71, 126247, 64, 624, 40225, 1794, 37915, 128249, 69086, 128253, 128811, 85536, 128272, 130303, 128603, 136909, 129748, 59735, 133761, 130390, 131943, 128984, 133361, 2350, 124411, 128272, 132214, 128266, 128289, 128250, 131400, 128854, 129018, 29458, 27021, 15392, 524, 624, 45, 77354, 220, 17, 15, 16, 19, 11, 595, 20868, 128384, 481, 128847, 128410, 59735, 129018, 29458, 27021, 15392, 524, 128424, 128884, 128830, 128871, 128761, 129541, 11, 129822, 85636, 79479, 128704, 128675, 320, 8626, 10298, 8, 128529, 220, 24, 11, 20, 16, 13384, 77374, 62572, 128823, 129866, 128278, 128251, 129664, 220, 19, 22, 129077, 128329, 11, 85636, 128415, 62029, 128386, 128529, 220, 23, 11, 16, 20, 13384, 3845, 128717, 128529, 220, 19, 15, 13384, 77374, 131538, 95082, 128529, 220, 17, 11, 16, 13384, 129822, 130498, 128278, 128379, 128401, 128847, 128410, 128529, 220, 16, 17, 11, 19, 22, 4, 773, 128250, 128340, 128880, 13, 128678, 132122, 128978, 128683, 128585, 11, 128847, 128410, 28776, 128271, 129263, 128366, 25, 128457, 128573, 129023, 129677, 131912, 128425, 128362, 128531, 308, 9917, 71, 26, 129784, 128361, 128943, 128855, 132234, 138757, 92105, 63478, 128553, 489, 2185, 98127, 128854, 47742, 129664, 128403, 128432, 128949, 26, 129427, 130554, 126469, 138816, 128757, 128320, 220, 18, 11, 20, 23, 16175, 128486, 128784, 128289, 128266, 2600, 220, 18, 18, 13, 18, 24, 21, 134628, 1187, 78, 128285, 13, 128494, 128441, 11, 458, 19550, 71, 63478, 129566, 135584, 11, 489, 52885, 128377, 458, 128401, 128847, 128410, 63478, 129551, 128417, 624, 51, 4076, 128452, 11, 595, 20868, 128384, 6558, 3202, 128410, 59735, 129018, 29458, 27021, 15392, 524, 128487, 128320, 128639, 130909, 11, 128249, 65526, 98127, 128575, 128651, 129664, 128495, 130361, 26, 128623, 128285, 134057, 130375, 11, 1031, 61452, 326, 125285, 11, 342, 1103, 326, 72115, 128560, 131537, 47742, 61758, 126359, 128273, 128704, 129030, 128487, 128960, 128871, 142244, 138628, 624, 3357, 1794, 130390, 131943, 128498, 128451, 129018, 29458, 27021, 15392, 524, 128360, 128424, 128884, 128726, 92105, 79668, 128362, 128531, 11, 128336, 128283, 135578, 128322, 133795, 128278, 128379, 11, 128830, 128507, 128322, 133795, 595, 20868, 128384, 26, 128427, 128285, 135905, 128802, 128327, 128322, 79668, 128410, 62572, 595, 20868, 128384, 131307, 11, 129922, 128250, 78228, 128301, 128371, 128906, 37915, 78228, 128301, 69086, 730, 16739, 128978, 98867, 1093, 26, 128336, 128283, 128418, 128456, 128595, 135578, 128322, 133795, 132234, 128386, 136822, 128250, 128943, 128855, 132234, 138757, 92105, 26, 130314, 2162, 78, 128365, 128599, 129270, 128356, 11, 128334, 128373, 85636, 128415, 595, 20868, 653, 27924, 59735, 653, 27924, 128386, 26, 28776, 128486, 128513, 128757, 141700, 128400, 128285, 59735, 128871, 128726, 129019, 130990, 128301, 130027, 294, 8835, 968, 128263, 85636, 128415, 47742, 129169, 128480, 59735, 128310, 128394, 624, 40225, 124483, 128327, 98127, 128854, 128336, 128283, 28776, 128423, 128432, 129414, 128367, 11, 128486, 128513, 128427, 129553, 69086, 141127, 128784, 65526, 220, 16, 24, 20290, 48, 12, 7123, 128300, 220, 16, 17, 14, 18, 14, 17, 15, 16, 20, 59735, 129591, 130388, 79668, 131867, 130509, 129991, 128331, 595, 20868, 653, 27924, 11, 130314, 2162, 78, 128365, 128599, 129623, 23686, 71, 128664, 94995, 13, 132026, 128854, 128336, 128283, 128784, 137513, 11, 128329, 128366, 78228, 128486, 128513, 132668, 128818, 131867, 128328, 128373, 128311, 11, 128666, 130631, 128585, 47742, 62029, 23165, 2143, 128799, 128884, 128373, 128311, 128269, 129202, 125440, 78228, 129857, 11, 78228, 128376, 26, 128424, 128884, 128531, 23165, 2143, 28776, 128423, 128432, 142303, 128595, 132668, 128818, 131867, 128328, 128751, 128368, 62029, 128367, 11, 62029, 128502, 11, 128550, 128396, 37915, 128943, 128855, 47742, 128531, 23165, 2143, 142303, 128595, 129207, 128333, 128444, 128597, 128289, 128266, 11, 128336, 128283, 28776, 128423, 128432, 141127, 128333, 65526, 220, 16, 15, 23, 14, 17, 15, 16, 19, 20290, 40225, 12, 7123, 128300, 220, 17, 15, 14, 16, 16, 14, 17, 15, 16, 19, 128265, 128311, 95082, 259, 20868, 130631, 135547, 128751, 624, 33, 27021, 129623, 128270, 131969, 128643, 132314, 142303, 128595, 64061, 128980, 135359, 127980, 595, 20868, 128384, 130751, 128494, 79668, 128361, 129029, 129591, 128466, 856, 336, 130985, 11, 128784, 128333, 26, 23165, 2143, 133457, 11, 128362, 305, 4076, 128304, 128870, 141673, 128365, 128362, 128531, 131638, 130751, 128494, 26, 132668, 308, 9917, 71, 129263, 128368, 128643, 130509, 128403, 133795, 131140, 131520, 128273, 131638, 11, 128425, 128334, 129065, 131678, 128994, 47742, 129991, 128331, 128418, 2600, 78228, 128275, 128278, 128379, 128465, 11, 129009, 136312, 270, 309, 94995, 128278, 128379, 128273, 131638, 624, 3357, 1794, 130390, 131943, 128268, 128498, 128451, 129018, 29458, 27021, 15392, 524, 128529, 132300, 62029, 128400, 1091, 71, 9586, 11, 129522, 9586, 11, 129888, 128356, 78228, 128373, 3275, 1031, 61452, 326, 125285, 11, 342, 1103, 326, 72115, 128560, 131537, 11, 61758, 126359, 26, 139824, 128784, 129888, 128356, 128253, 132356, 128366, 11, 62029, 128502, 128424, 259, 352, 2600, 1031, 61452, 326, 125285, 11, 342, 1103, 326, 72115, 128560, 131537, 11, 61758, 126359, 26, 131628, 128319, 137277, 521, 124760, 128250, 78228, 128599, 128375, 128502, 128365, 137288, 128327, 128362, 128283, 78228, 128448, 132625, 11, 133712, 131270, 1031, 61452, 326, 125285, 11, 61758, 126359, 26, 128529, 132300, 135593, 129045, 47742, 130314, 2162, 78, 128370, 128482, 2600, 78228, 131520, 130192, 128310, 128394, 11, 78228, 128376, 11, 78228, 129857, 128336, 128283, 128418, 1319, 644, 489, 125017, 128401, 128394, 129455, 1031, 61452, 326, 125285, 11, 342, 1103, 326, 72115, 128560, 131537, 11, 61758, 126359, 624, 38, 124551, 128362, 128531, 595, 20868, 128384, 128250, 128362, 128531, 128683, 128585, 11, 128847, 128410, 26, 128336, 128283, 128418, 128311, 95082, 458, 97832, 128847, 128410, 11, 128311, 95082, 128394, 133952, 11, 134342, 129023, 13, 356, 128042, 129234, 128314, 130121, 128664, 128441, 128401, 128394, 47742, 128314, 130121, 458, 19550, 71, 128310, 128394, 11, 128943, 128855, 130980, 135547, 128449, 130669, 128823, 11, 129347, 130097, 11, 133713, 128333, 11, 128319, 128400, 128250, 78228, 128301, 89437, 624, 3357, 276, 21018, 86882, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42, 25214, 133457, 11, 128362, 305, 4076, 128304, 128870, 141673, 128365, 128362, 128531, 131638, 130751, 128494, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 84137, 98127, 128854, 59735, 133761, 130390, 131943, 128984, 133361, 2350, 124411, 11, 129018, 29458, 27021, 15392, 524, 128360, 131969, 128643, 132314, 142303, 128595, 64061, 128980, 135359, 127980, 595, 20868, 128384, 130751, 128494, 79668, 128361, 129029, 129591, 128466, 856, 336, 130985, 11, 128784, 128333, 26, 23165, 2143, 133457, 11, 128362, 305, 4076, 128304, 128870, 141673, 128365, 128362, 128531, 131638, 130751, 128494, 624, 126884, 20303, 1308, 71, 126247, 64, 624, 40225, 1794, 37915, 128249, 69086, 128253, 128811, 85536, 128272, 130303, 128603, 136909, 129748, 59735, 133761, 130390, 131943, 128984, 133361, 2350, 124411, 128272, 132214, 128266, 128289, 128250, 131400, 128854, 129018, 29458, 27021, 15392, 524, 624, 45, 77354, 220, 17, 15, 16, 19, 11, 595, 20868, 128384, 481, 128847, 128410, 59735, 129018, 29458, 27021, 15392, 524, 128424, 128884, 128830, 128871, 128761, 129541, 11, 129822, 85636, 79479, 128704, 128675, 320, 8626, 10298, 8, 128529, 220, 24, 11, 20, 16, 13384, 77374, 62572, 128823, 129866, 128278, 128251, 129664, 220, 19, 22, 129077, 128329, 11, 85636, 128415, 62029, 128386, 128529, 220, 23, 11, 16, 20, 13384, 3845, 128717, 128529, 220, 19, 15, 13384, 77374, 131538, 95082, 128529, 220, 17, 11, 16, 13384, 129822, 130498, 128278, 128379, 128401, 128847, 128410, 128529, 220, 16, 17, 11, 19, 22, 4, 773, 128250, 128340, 128880, 13, 128678, 132122, 128978, 128683, 128585, 11, 128847, 128410, 28776, 128271, 129263, 128366, 25, 128457, 128573, 129023, 129677, 131912, 128425, 128362, 128531, 308, 9917, 71, 26, 129784, 128361, 128943, 128855, 132234, 138757, 92105, 63478, 128553, 489, 2185, 98127, 128854, 47742, 129664, 128403, 128432, 128949, 26, 129427, 130554, 126469, 138816, 128757, 128320, 220, 18, 11, 20, 23, 16175, 128486, 128784, 128289, 128266, 2600, 220, 18, 18, 13, 18, 24, 21, 134628, 1187, 78, 128285, 13, 128494, 128441, 11, 458, 19550, 71, 63478, 129566, 135584, 11, 489, 52885, 128377, 458, 128401, 128847, 128410, 63478, 129551, 128417, 624, 51, 4076, 128452, 11, 595, 20868, 128384, 6558, 3202, 128410, 59735, 129018, 29458, 27021, 15392, 524, 128487, 128320, 128639, 130909, 11, 128249, 65526, 98127, 128575, 128651, 129664, 128495, 130361, 26, 128623, 128285, 134057, 130375, 11, 1031, 61452, 326, 125285, 11, 342, 1103, 326, 72115, 128560, 131537, 47742, 61758, 126359, 128273, 128704, 129030, 128487, 128960, 128871, 142244, 138628, 624, 3357, 1794, 130390, 131943, 128498, 128451, 129018, 29458, 27021, 15392, 524, 128360, 128424, 128884, 128726, 92105, 79668, 128362, 128531, 11, 128336, 128283, 135578, 128322, 133795, 128278, 128379, 11, 128830, 128507, 128322, 133795, 595, 20868, 128384, 26, 128427, 128285, 135905, 128802, 128327, 128322, 79668, 128410, 62572, 595, 20868, 128384, 131307, 11, 129922, 128250, 78228, 128301, 128371, 128906, 37915, 78228, 128301, 69086, 730, 16739, 128978, 98867, 1093, 26, 128336, 128283, 128418, 128456, 128595, 135578, 128322, 133795, 132234, 128386, 136822, 128250, 128943, 128855, 132234, 138757, 92105, 26, 130314, 2162, 78, 128365, 128599, 129270, 128356, 11, 128334, 128373, 85636, 128415, 595, 20868, 653, 27924, 59735, 653, 27924, 128386, 26, 28776, 128486, 128513, 128757, 141700, 128400, 128285, 59735, 128871, 128726, 129019, 130990, 128301, 130027, 294, 8835, 968, 128263, 85636, 128415, 47742, 129169, 128480, 59735, 128310, 128394, 624, 40225, 124483, 128327, 98127, 128854, 128336, 128283, 28776, 128423, 128432, 129414, 128367, 11, 128486, 128513, 128427, 129553, 69086, 141127, 128784, 65526, 220, 16, 24, 20290, 48, 12, 7123, 128300, 220, 16, 17, 14, 18, 14, 17, 15, 16, 20, 59735, 129591, 130388, 79668, 131867, 130509, 129991, 128331, 595, 20868, 653, 27924, 11, 130314, 2162, 78, 128365, 128599, 129623, 23686, 71, 128664, 94995, 13, 132026, 128854, 128336, 128283, 128784, 137513, 11, 128329, 128366, 78228, 128486, 128513, 132668, 128818, 131867, 128328, 128373, 128311, 11, 128666, 130631, 128585, 47742, 62029, 23165, 2143, 128799, 128884, 128373, 128311, 128269, 129202, 125440, 78228, 129857, 11, 78228, 128376, 26, 128424, 128884, 128531, 23165, 2143, 28776, 128423, 128432, 142303, 128595, 132668, 128818, 131867, 128328, 128751, 128368, 62029, 128367, 11, 62029, 128502, 11, 128550, 128396, 37915, 128943, 128855, 47742, 128531, 23165, 2143, 142303, 128595, 129207, 128333, 128444, 128597, 128289, 128266, 11, 128336, 128283, 28776, 128423, 128432, 141127, 128333, 65526, 220, 16, 15, 23, 14, 17, 15, 16, 19, 20290, 40225, 12, 7123, 128300, 220, 17, 15, 14, 16, 16, 14, 17, 15, 16, 19, 128265, 128311, 95082, 259, 20868, 130631, 135547, 128751, 624, 33, 27021, 129623, 128270, 131969, 128643, 132314, 142303, 128595, 64061, 128980, 135359, 127980, 595, 20868, 128384, 130751, 128494, 79668, 128361, 129029, 129591, 128466, 856, 336, 130985, 11, 128784, 128333, 26, 23165, 2143, 133457, 11, 128362, 305, 4076, 128304, 128870, 141673, 128365, 128362, 128531, 131638, 130751, 128494, 26, 132668, 308, 9917, 71, 129263, 128368, 128643, 130509, 128403, 133795, 131140, 131520, 128273, 131638, 11, 128425, 128334, 129065, 131678, 128994, 47742, 129991, 128331, 128418, 2600, 78228, 128275, 128278, 128379, 128465, 11, 129009, 136312, 270, 309, 94995, 128278, 128379, 128273, 131638, 624, 3357, 1794, 130390, 131943, 128268, 128498, 128451, 129018, 29458, 27021, 15392, 524, 128529, 132300, 62029, 128400, 1091, 71, 9586, 11, 129522, 9586, 11, 129888, 128356, 78228, 128373, 3275, 1031, 61452, 326, 125285, 11, 342, 1103, 326, 72115, 128560, 131537, 11, 61758, 126359, 26, 139824, 128784, 129888, 128356, 128253, 132356, 128366, 11, 62029, 128502, 128424, 259, 352, 2600, 1031, 61452, 326, 125285, 11, 342, 1103, 326, 72115, 128560, 131537, 11, 61758, 126359, 26, 131628, 128319, 137277, 521, 124760, 128250, 78228, 128599, 128375, 128502, 128365, 137288, 128327, 128362, 128283, 78228, 128448, 132625, 11, 133712, 131270, 1031, 61452, 326, 125285, 11, 61758, 126359, 26, 128529, 132300, 135593, 129045, 47742, 130314, 2162, 78, 128370, 128482, 2600, 78228, 131520, 130192, 128310, 128394, 11, 78228, 128376, 11, 78228, 129857, 128336, 128283, 128418, 1319, 644, 489, 125017, 128401, 128394, 129455, 1031, 61452, 326, 125285, 11, 342, 1103, 326, 72115, 128560, 131537, 11, 61758, 126359, 624, 38, 124551, 128362, 128531, 595, 20868, 128384, 128250, 128362, 128531, 128683, 128585, 11, 128847, 128410, 26, 128336, 128283, 128418, 128311, 95082, 458, 97832, 128847, 128410, 11, 128311, 95082, 128394, 133952, 11, 134342, 129023, 13, 356, 128042, 129234, 128314, 130121, 128664, 128441, 128401, 128394, 47742, 128314, 130121, 458, 19550, 71, 128310, 128394, 11, 128943, 128855, 130980, 135547, 128449, 130669, 128823, 11, 129347, 130097, 11, 133713, 128333, 11, 128319, 128400, 128250, 78228, 128301, 89437, 624, 3357, 276, 21018, 86882, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012 ]
1,013
[ 40225, 124483, 128997, 1163, 85375, 350, 124644, 50922, 128424, 130085, 131443, 132922, 129972, 142691, 131283, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 33282, 124477, 220, 16, 22, 14, 20, 11, 128272, 1163, 50483, 128760, 1163, 2185, 220, 85375, 134355, 11, 128329, 128997, 1163, 85375, 350, 124644, 50922, 11, 142394, 97483, 129029, 129591, 128466, 11, 141948, 129372, 22730, 134082, 129101, 79126, 128424, 128672, 130821, 129302, 2157, 8832, 40140, 11, 130085, 131443, 132922, 129972, 142691, 131283, 128348, 128269, 133171, 128324, 29974, 624, 40225, 124483, 128997, 1163, 85375, 350, 124644, 50922, 135247, 132367, 348, 1963, 137098, 128265, 134666, 922, 276, 128457, 129347, 130097, 129045, 128573, 129181, 46051, 128301, 128348, 128300, 129357, 14854, 38715, 76, 11386, 64, 128403, 130641, 47742, 128570, 64061, 128556, 85636, 128867, 128309, 59735, 46051, 128301, 13, 130717, 128997, 74542, 128491, 46051, 128608, 128424, 128884, 128529, 132300, 489, 3441, 128726, 129675, 128269, 78228, 128376, 11, 129367, 129922, 342, 22516, 129480, 129181, 78228, 131520, 130192, 128310, 128394, 11, 129181, 128494, 128410, 46051, 128301, 11, 128529, 132300, 922, 276, 128457, 129181, 134355, 138465, 85636, 128324, 29974, 47742, 78228, 128311, 140431, 128269, 142691, 131283, 131763, 270, 124651, 137277, 128304, 128870, 922, 276, 128457, 128311, 128466, 129181, 46051, 128301, 13, 130717, 128327, 11, 133600, 132668, 128818, 137125, 922, 276, 128457, 595, 20868, 128384, 11, 128560, 131537, 128266, 131307, 129222, 128622, 128811, 130734, 76, 59735, 134666, 922, 276, 128457, 128421, 128400, 129009, 136312, 129181, 46051, 128301, 13, 130717, 128997, 136732, 128333, 128324, 29974, 141718, 126469, 142691, 131283, 128570, 64061, 142394, 97483, 128454, 129372, 129935, 128329, 132847, 458, 130578, 472, 84300, 79, 128494, 94994, 126341, 128502, 96535, 63478, 129367, 129922, 47742, 135247, 132367, 24790, 129608, 142691, 131283, 128267, 129551, 129414, 128418, 272, 85375, 128444, 142394, 97483, 53037, 128454, 129372, 129935, 128329, 132847, 458, 130578, 472, 84300, 79, 128494, 129414, 128880, 220, 17, 15, 16, 16, 12, 17, 15, 16, 17, 13, 130085, 131443, 132922, 129972, 142691, 131283, 2157, 8832, 40140, 24790, 129608, 135418, 133171, 128267, 131072, 128463, 128529, 132300, 922, 276, 128457, 129347, 130097, 129045, 128573, 129181, 46051, 128301, 13, 132934, 128826, 24790, 129608, 130052, 132457, 128640, 129227, 128277, 131400, 128854, 59735, 134355, 138465, 85636, 128324, 29974, 11, 128310, 128394, 128324, 29974, 128267, 128424, 128884, 139833, 63478, 128253, 131457, 128994, 92105, 311, 128465, 128304, 128870, 69086, 128277, 128386, 62029, 128386, 128585, 11, 128283, 128479, 128585, 13, 130085, 131443, 132922, 129972, 2157, 8832, 40140, 136732, 128333, 128494, 128410, 47742, 129591, 130388, 142691, 131283, 128267, 128266, 128906, 128738, 128312, 79668, 128340, 128324, 29974, 128930, 134666, 922, 276, 128457, 128421, 128400, 129009, 136312, 142691, 131283, 19625, 72, 124382, 29974, 73586, 86139, 131149, 131307, 11, 128423, 128432, 11, 128422, 128336, 128378, 128994, 130123, 59735, 128310, 128394, 46051, 128301, 26, 137429, 128818, 46051, 128608, 128360, 922, 276, 128396, 133600, 132668, 128818, 137125, 128304, 922, 276, 128457, 595, 20868, 128384, 11, 128329, 128327, 1062, 72, 128550, 133600, 132668, 922, 276, 128457, 128273, 132122, 128978, 128683, 128585, 13, 130085, 131443, 132922, 129972, 2157, 8832, 40140, 135247, 132367, 128467, 133170, 131307, 129222, 128265, 128289, 128324, 29974, 141718, 126469, 142691, 131283, 128266, 142394, 97483, 141948, 129372, 129935, 128329, 132847, 458, 130578, 472, 84300, 79, 128494, 26, 136732, 128333, 69086, 128311, 95082, 128421, 130906, 128846, 130215, 11, 142691, 131283, 128787, 1062, 72, 128550, 128362, 128531, 922, 276, 128457, 128250, 98867, 1093, 11, 128788, 128589, 37915, 128250, 128324, 29974, 1725, 13, 356, 3441, 2350, 644, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 124483, 128997, 1163, 85375, 350, 124644, 50922, 128424, 130085, 131443, 132922, 129972, 142691, 131283, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 33282, 124477, 220, 16, 22, 14, 20, 11, 128272, 1163, 50483, 128760, 1163, 2185, 220, 85375, 134355, 11, 128329, 128997, 1163, 85375, 350, 124644, 50922, 11, 142394, 97483, 129029, 129591, 128466, 11, 141948, 129372, 22730, 134082, 129101, 79126, 128424, 128672, 130821, 129302, 2157, 8832, 40140, 11, 130085, 131443, 132922, 129972, 142691, 131283, 128348, 128269, 133171, 128324, 29974, 624, 40225, 124483, 128997, 1163, 85375, 350, 124644, 50922, 135247, 132367, 348, 1963, 137098, 128265, 134666, 922, 276, 128457, 129347, 130097, 129045, 128573, 129181, 46051, 128301, 128348, 128300, 129357, 14854, 38715, 76, 11386, 64, 128403, 130641, 47742, 128570, 64061, 128556, 85636, 128867, 128309, 59735, 46051, 128301, 13, 130717, 128997, 74542, 128491, 46051, 128608, 128424, 128884, 128529, 132300, 489, 3441, 128726, 129675, 128269, 78228, 128376, 11, 129367, 129922, 342, 22516, 129480, 129181, 78228, 131520, 130192, 128310, 128394, 11, 129181, 128494, 128410, 46051, 128301, 11, 128529, 132300, 922, 276, 128457, 129181, 134355, 138465, 85636, 128324, 29974, 47742, 78228, 128311, 140431, 128269, 142691, 131283, 131763, 270, 124651, 137277, 128304, 128870, 922, 276, 128457, 128311, 128466, 129181, 46051, 128301, 13, 130717, 128327, 11, 133600, 132668, 128818, 137125, 922, 276, 128457, 595, 20868, 128384, 11, 128560, 131537, 128266, 131307, 129222, 128622, 128811, 130734, 76, 59735, 134666, 922, 276, 128457, 128421, 128400, 129009, 136312, 129181, 46051, 128301, 13, 130717, 128997, 136732, 128333, 128324, 29974, 141718, 126469, 142691, 131283, 128570, 64061, 142394, 97483, 128454, 129372, 129935, 128329, 132847, 458, 130578, 472, 84300, 79, 128494, 94994, 126341, 128502, 96535, 63478, 129367, 129922, 47742, 135247, 132367, 24790, 129608, 142691, 131283, 128267, 129551, 129414, 128418, 272, 85375, 128444, 142394, 97483, 53037, 128454, 129372, 129935, 128329, 132847, 458, 130578, 472, 84300, 79, 128494, 129414, 128880, 220, 17, 15, 16, 16, 12, 17, 15, 16, 17, 13, 130085, 131443, 132922, 129972, 142691, 131283, 2157, 8832, 40140, 24790, 129608, 135418, 133171, 128267, 131072, 128463, 128529, 132300, 922, 276, 128457, 129347, 130097, 129045, 128573, 129181, 46051, 128301, 13, 132934, 128826, 24790, 129608, 130052, 132457, 128640, 129227, 128277, 131400, 128854, 59735, 134355, 138465, 85636, 128324, 29974, 11, 128310, 128394, 128324, 29974, 128267, 128424, 128884, 139833, 63478, 128253, 131457, 128994, 92105, 311, 128465, 128304, 128870, 69086, 128277, 128386, 62029, 128386, 128585, 11, 128283, 128479, 128585, 13, 130085, 131443, 132922, 129972, 2157, 8832, 40140, 136732, 128333, 128494, 128410, 47742, 129591, 130388, 142691, 131283, 128267, 128266, 128906, 128738, 128312, 79668, 128340, 128324, 29974, 128930, 134666, 922, 276, 128457, 128421, 128400, 129009, 136312, 142691, 131283, 19625, 72, 124382, 29974, 73586, 86139, 131149, 131307, 11, 128423, 128432, 11, 128422, 128336, 128378, 128994, 130123, 59735, 128310, 128394, 46051, 128301, 26, 137429, 128818, 46051, 128608, 128360, 922, 276, 128396, 133600, 132668, 128818, 137125, 128304, 922, 276, 128457, 595, 20868, 128384, 11, 128329, 128327, 1062, 72, 128550, 133600, 132668, 922, 276, 128457, 128273, 132122, 128978, 128683, 128585, 13, 130085, 131443, 132922, 129972, 2157, 8832, 40140, 135247, 132367, 128467, 133170, 131307, 129222, 128265, 128289, 128324, 29974, 141718, 126469, 142691, 131283, 128266, 142394, 97483, 141948, 129372, 129935, 128329, 132847, 458, 130578, 472, 84300, 79, 128494, 26, 136732, 128333, 69086, 128311, 95082, 128421, 130906, 128846, 130215, 11, 142691, 131283, 128787, 1062, 72, 128550, 128362, 128531, 922, 276, 128457, 128250, 98867, 1093, 11, 128788, 128589, 37915, 128250, 128324, 29974, 1725, 13, 356, 3441, 2350, 644, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550 ]
551
[ 38, 22516, 129480, 129372, 130980, 128265, 330, 34, 24015, 128400, 130985, 128788, 856, 1953, 128290, 220, 17, 15, 15, 24, 698, 40225, 33450, 128430, 128251, 128394, 129061, 129433, 129078, 128304, 128265, 128427, 140996, 59735, 134355, 11, 129645, 128301, 128265, 62029, 128400, 130985, 128788, 856, 1953, 128290, 220, 17, 15, 15, 24, 11, 356, 60257, 968, 92430, 24790, 128484, 128804, 129591, 130388, 128267, 126341, 128502, 132214, 479, 22516, 129480, 129372, 130980, 128250, 128427, 128456, 330, 34, 24015, 128400, 130985, 128788, 856, 1953, 128290, 220, 17, 15, 15, 24, 1, 94576, 220, 24, 12, 16, 16, 71, 128720, 274, 1953, 84, 11, 128300, 220, 22, 14, 23, 128272, 128704, 98127, 25, 8438, 5329, 20868, 759, 84, 75157, 624, 1001, 309, 94995, 132214, 342, 22516, 129480, 128267, 28776, 64061, 97483, 129935, 128329, 130985, 128788, 856, 1953, 1163, 2185, 220, 85375, 128290, 220, 17, 15, 15, 24, 11, 356, 92704, 647, 17, 21, 320, 33, 37678, 128534, 458, 8, 47742, 128479, 129054, 131400, 128854, 78228, 128704, 128675, 11, 128837, 128251, 128788, 856, 1953, 63478, 128570, 128265, 13, 133784, 128935, 11, 132214, 479, 22516, 129480, 128267, 128553, 489, 2185, 97021, 352, 922, 27924, 12789, 128580, 128456, 128465, 25, 130085, 140996, 11, 128311, 95082, 59735, 134355, 11, 129645, 128301, 128265, 62029, 128400, 130985, 128788, 856, 1953, 128290, 220, 17, 15, 15, 24, 26, 128486, 130925, 128253, 270, 124431, 131880, 128265, 128419, 128338, 131867, 128425, 130375, 128310, 47742, 78228, 130179, 128338, 131867, 128425, 130375, 128310, 128269, 128324, 29974, 128283, 308, 352, 26, 131368, 129414, 128847, 128410, 69086, 128289, 128430, 137205, 128251, 79126, 132677, 128373, 856, 644, 128338, 138675, 135735, 130669, 62572, 128250, 130700, 128329, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 38, 22516, 129480, 129372, 130980, 128265, 330, 34, 24015, 128400, 130985, 128788, 856, 1953, 128290, 220, 17, 15, 15, 24, 698, 40225, 33450, 128430, 128251, 128394, 129061, 129433, 129078, 128304, 128265, 128427, 140996, 59735, 134355, 11, 129645, 128301, 128265, 62029, 128400, 130985, 128788, 856, 1953, 128290, 220, 17, 15, 15, 24, 11, 356, 60257, 968, 92430, 24790, 128484, 128804, 129591, 130388, 128267, 126341, 128502, 132214, 479, 22516, 129480, 129372, 130980, 128250, 128427, 128456, 330, 34, 24015, 128400, 130985, 128788, 856, 1953, 128290, 220, 17, 15, 15, 24, 1, 94576, 220, 24, 12, 16, 16, 71, 128720, 274, 1953, 84, 11, 128300, 220, 22, 14, 23, 128272, 128704, 98127, 25, 8438, 5329, 20868, 759, 84, 75157, 624, 1001, 309, 94995, 132214, 342, 22516, 129480, 128267, 28776, 64061, 97483, 129935, 128329, 130985, 128788, 856, 1953, 1163, 2185, 220, 85375, 128290, 220, 17, 15, 15, 24, 11, 356, 92704, 647, 17, 21, 320, 33, 37678, 128534, 458, 8, 47742, 128479, 129054, 131400, 128854, 78228, 128704, 128675, 11, 128837, 128251, 128788, 856, 1953, 63478, 128570, 128265, 13, 133784, 128935, 11, 132214, 479, 22516, 129480, 128267, 128553, 489, 2185, 97021, 352, 922, 27924, 12789, 128580, 128456, 128465, 25, 130085, 140996, 11, 128311, 95082, 59735, 134355, 11, 129645, 128301, 128265, 62029, 128400, 130985, 128788, 856, 1953, 128290, 220, 17, 15, 15, 24, 26, 128486, 130925, 128253, 270, 124431, 131880, 128265, 128419, 128338, 131867, 128425, 130375, 128310, 47742, 78228, 130179, 128338, 131867, 128425, 130375, 128310, 128269, 128324, 29974, 128283, 308, 352, 26, 131368, 129414, 128847, 128410, 69086, 128289, 128430, 137205, 128251, 79126, 132677, 128373, 856, 644, 128338, 138675, 135735, 130669, 62572, 128250, 130700, 128329, 624, 151645 ]
[ 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
[ 1001, 42504, 131943, 129591, 130388, 98127, 128854, 85636, 128415, 326, 89639, 128367, 130215, 133361, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 28776, 62029, 128683, 128498, 128451, 78228, 129018, 11, 64061, 128974, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 128424, 128884, 128336, 128283, 78228, 128486, 128513, 132611, 128904, 130990, 128432, 326, 124310, 128465, 131778, 129121, 11, 129551, 128417, 85636, 128415, 128367, 130215, 133361, 128290, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 17, 131457, 128994, 11, 131072, 128463, 128417, 129551, 458, 19550, 71, 135803, 128336, 128664, 94995, 47742, 128904, 128367, 128415, 97610, 624, 40225, 21742, 76, 128417, 128367, 131026, 142893, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 17, 131457, 128994, 624, 1282, 644, 62029, 128683, 308, 124634, 129398, 11, 128290, 220, 17, 15, 16, 16, 11, 326, 124310, 128465, 131871, 15122, 128269, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 129509, 138051, 128250, 326, 124310, 128717, 128353, 128290, 220, 17, 15, 15, 15, 11, 128882, 141753, 131579, 128465, 128265, 595, 20868, 128384, 11, 128847, 128410, 47742, 128266, 128271, 129838, 85636, 128415, 132234, 128386, 128279, 7777, 36745, 131307, 69086, 128327, 342, 1103, 131778, 129121, 13, 128678, 128704, 128675, 79126, 128553, 489, 2185, 98127, 128854, 128784, 137513, 47742, 305, 4076, 128285, 129738, 128599, 79668, 128441, 129455, 326, 124310, 11, 326, 50483, 83, 26, 128263, 308, 352, 128322, 128450, 129054, 128761, 326, 89639, 128367, 35892, 130215, 79126, 63478, 128417, 129067, 47742, 85636, 128415, 326, 89639, 220, 124603, 128529, 128622, 220, 20, 15, 15, 139063, 133270, 773, 128250, 128367, 35892, 130215, 128290, 220, 17, 15, 16, 15, 624, 40225, 33450, 128424, 128884, 132611, 128904, 130990, 128432, 326, 124310, 128465, 131778, 129121, 11, 128417, 129551, 85636, 128415, 326, 89639, 128367, 130215, 133361, 128290, 220, 17, 15, 16, 16, 12, 17, 15, 16, 17, 11, 128367, 28776, 85636, 128375, 326, 89639, 128465, 128281, 69086, 128290, 131457, 128994, 11, 130390, 131943, 129591, 130388, 128498, 128451, 73061, 8065, 78228, 129018, 11, 64061, 128974, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 279, 78, 136753, 129261, 128419, 128338, 128301, 137335, 11, 23165, 125641, 140996, 9765, 132038, 293, 76294, 293, 3441, 11, 128457, 128573, 142770, 296, 85375, 128811, 128329, 11, 78228, 489, 125252, 293, 38715, 76, 26, 129036, 129838, 296, 92302, 128301, 11, 305, 4076, 128285, 129738, 128599, 79668, 293, 38715, 76, 259, 16685, 11, 137335, 128301, 128281, 37915, 128269, 128253, 128704, 129030, 489, 125432, 11, 7777, 36745, 131307, 11, 128417, 129551, 342, 645, 78, 274, 20229, 326, 89639, 131026, 142893, 69086, 23165, 2185, 128327, 128367, 279, 78, 128846, 128653, 59735, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 79668, 131282, 7777, 36745, 128278, 128367, 11, 129572, 305, 11390, 11, 296, 65762, 77, 856, 86728, 62572, 86139, 129742, 128367, 624, 40225, 124483, 128327, 11, 78228, 129018, 11, 64061, 128974, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 128282, 129551, 128417, 272, 2185, 128376, 137288, 128327, 11, 129078, 326, 89639, 130469, 128380, 128375, 2600, 132234, 128394, 26, 129522, 134814, 137277, 521, 124760, 128380, 128375, 11, 128309, 125440, 78228, 128433, 128853, 128379, 128904, 128367, 2600, 85636, 128415, 326, 89639, 26, 128424, 128884, 128310, 129922, 128289, 129470, 128284, 78228, 129263, 128366, 129531, 128859, 92105, 128265, 130469, 11, 129531, 128859, 646, 71, 128400, 11, 130179, 128338, 85636, 128415, 326, 89639, 330, 34, 124415, 128329, 129643, 128465, 1, 79668, 128425, 128334, 129065, 330, 742, 27021, 128403, 293, 125044, 128275, 497, 133600, 132668, 130314, 2162, 78, 95799, 84453, 128309, 128466, 85636, 128415, 595, 20868, 653, 27924, 326, 89639, 143692, 11, 128529, 77374, 62572, 2600, 132234, 128394, 624, 33, 27021, 129623, 128270, 11, 129209, 126500, 128311, 95082, 129481, 59735, 129645, 128301, 11, 78228, 129018, 11, 64061, 128974, 128427, 128285, 128353, 128284, 131538, 95082, 128704, 128675, 129481, 128886, 137288, 128327, 2600, 132234, 128394, 128279, 141753, 131579, 653, 326, 124310, 128290, 220, 17, 15, 16, 16, 79668, 128425, 128334, 129065, 131678, 128994, 2600, 132234, 128394, 128362, 128531, 85636, 128415, 326, 89639, 128367, 130215, 133361, 624, 40225, 124483, 128327, 11, 130390, 131943, 129591, 130388, 128268, 128498, 128451, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 98127, 128854, 11, 128846, 128653, 78228, 128704, 128675, 128336, 128283, 126370, 128361, 85636, 128415, 326, 89639, 131026, 142893, 128265, 128327, 128367, 11, 128322, 133795, 130469, 326, 89639, 11, 129531, 128859, 646, 71, 128400, 11, 128441, 137329, 128507, 128453, 131579, 326, 89639, 11, 1091, 71, 9586, 11, 129522, 9586, 128380, 128375, 128853, 128379, 128904, 128367, 85636, 128415, 26, 131628, 128319, 128250, 78228, 128704, 128675, 279, 78, 136753, 128960, 128871, 85636, 128415, 79668, 28776, 137261, 128513, 129888, 128356, 137288, 128327, 11, 128423, 128432, 624, 33, 37678, 134352, 128311, 128427, 132630, 11, 131628, 128319, 128250, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 129822, 128319, 128456, 128415, 141580, 128451, 129481, 128886, 59735, 78228, 128704, 128675, 11, 128361, 130390, 131943, 129591, 130388, 279, 78, 126370, 128333, 624, 2183, 124504, 128521, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1001, 42504, 131943, 129591, 130388, 98127, 128854, 85636, 128415, 326, 89639, 128367, 130215, 133361, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 28776, 62029, 128683, 128498, 128451, 78228, 129018, 11, 64061, 128974, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 128424, 128884, 128336, 128283, 78228, 128486, 128513, 132611, 128904, 130990, 128432, 326, 124310, 128465, 131778, 129121, 11, 129551, 128417, 85636, 128415, 128367, 130215, 133361, 128290, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 17, 131457, 128994, 11, 131072, 128463, 128417, 129551, 458, 19550, 71, 135803, 128336, 128664, 94995, 47742, 128904, 128367, 128415, 97610, 624, 40225, 21742, 76, 128417, 128367, 131026, 142893, 220, 17, 15, 16, 16, 481, 220, 17, 15, 16, 17, 131457, 128994, 624, 1282, 644, 62029, 128683, 308, 124634, 129398, 11, 128290, 220, 17, 15, 16, 16, 11, 326, 124310, 128465, 131871, 15122, 128269, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 129509, 138051, 128250, 326, 124310, 128717, 128353, 128290, 220, 17, 15, 15, 15, 11, 128882, 141753, 131579, 128465, 128265, 595, 20868, 128384, 11, 128847, 128410, 47742, 128266, 128271, 129838, 85636, 128415, 132234, 128386, 128279, 7777, 36745, 131307, 69086, 128327, 342, 1103, 131778, 129121, 13, 128678, 128704, 128675, 79126, 128553, 489, 2185, 98127, 128854, 128784, 137513, 47742, 305, 4076, 128285, 129738, 128599, 79668, 128441, 129455, 326, 124310, 11, 326, 50483, 83, 26, 128263, 308, 352, 128322, 128450, 129054, 128761, 326, 89639, 128367, 35892, 130215, 79126, 63478, 128417, 129067, 47742, 85636, 128415, 326, 89639, 220, 124603, 128529, 128622, 220, 20, 15, 15, 139063, 133270, 773, 128250, 128367, 35892, 130215, 128290, 220, 17, 15, 16, 15, 624, 40225, 33450, 128424, 128884, 132611, 128904, 130990, 128432, 326, 124310, 128465, 131778, 129121, 11, 128417, 129551, 85636, 128415, 326, 89639, 128367, 130215, 133361, 128290, 220, 17, 15, 16, 16, 12, 17, 15, 16, 17, 11, 128367, 28776, 85636, 128375, 326, 89639, 128465, 128281, 69086, 128290, 131457, 128994, 11, 130390, 131943, 129591, 130388, 128498, 128451, 73061, 8065, 78228, 129018, 11, 64061, 128974, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 279, 78, 136753, 129261, 128419, 128338, 128301, 137335, 11, 23165, 125641, 140996, 9765, 132038, 293, 76294, 293, 3441, 11, 128457, 128573, 142770, 296, 85375, 128811, 128329, 11, 78228, 489, 125252, 293, 38715, 76, 26, 129036, 129838, 296, 92302, 128301, 11, 305, 4076, 128285, 129738, 128599, 79668, 293, 38715, 76, 259, 16685, 11, 137335, 128301, 128281, 37915, 128269, 128253, 128704, 129030, 489, 125432, 11, 7777, 36745, 131307, 11, 128417, 129551, 342, 645, 78, 274, 20229, 326, 89639, 131026, 142893, 69086, 23165, 2185, 128327, 128367, 279, 78, 128846, 128653, 59735, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 79668, 131282, 7777, 36745, 128278, 128367, 11, 129572, 305, 11390, 11, 296, 65762, 77, 856, 86728, 62572, 86139, 129742, 128367, 624, 40225, 124483, 128327, 11, 78228, 129018, 11, 64061, 128974, 129838, 128329, 128411, 134782, 356, 50674, 84, 5724, 128282, 129551, 128417, 272, 2185, 128376, 137288, 128327, 11, 129078, 326, 89639, 130469, 128380, 128375, 2600, 132234, 128394, 26, 129522, 134814, 137277, 521, 124760, 128380, 128375, 11, 128309, 125440, 78228, 128433, 128853, 128379, 128904, 128367, 2600, 85636, 128415, 326, 89639, 26, 128424, 128884, 128310, 129922, 128289, 129470, 128284, 78228, 129263, 128366, 129531, 128859, 92105, 128265, 130469, 11, 129531, 128859, 646, 71, 128400, 11, 130179, 128338, 85636, 128415, 326, 89639, 330, 34, 124415, 128329, 129643, 128465, 1, 79668, 128425, 128334, 129065, 330, 742, 27021, 128403, 293, 125044, 128275, 497, 133600, 132668, 130314, 2162, 78, 95799, 84453, 128309, 128466, 85636, 128415, 595, 20868, 653, 27924, 326, 89639, 143692, 11, 128529, 77374, 62572, 2600, 132234, 128394, 624, 33, 27021, 129623, 128270, 11, 129209, 126500, 128311, 95082, 129481, 59735, 129645, 128301, 11, 78228, 129018, 11, 64061, 128974, 128427, 128285, 128353, 128284, 131538, 95082, 128704, 128675, 129481, 128886, 137288, 128327, 2600, 132234, 128394, 128279, 141753, 131579, 653, 326, 124310, 128290, 220, 17, 15, 16, 16, 79668, 128425, 128334, 129065, 131678, 128994, 2600, 132234, 128394, 128362, 128531, 85636, 128415, 326, 89639, 128367, 130215, 133361, 624, 40225, 124483, 128327, 11, 130390, 131943, 129591, 130388, 128268, 128498, 128451, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 98127, 128854, 11, 128846, 128653, 78228, 128704, 128675, 128336, 128283, 126370, 128361, 85636, 128415, 326, 89639, 131026, 142893, 128265, 128327, 128367, 11, 128322, 133795, 130469, 326, 89639, 11, 129531, 128859, 646, 71, 128400, 11, 128441, 137329, 128507, 128453, 131579, 326, 89639, 11, 1091, 71, 9586, 11, 129522, 9586, 128380, 128375, 128853, 128379, 128904, 128367, 85636, 128415, 26, 131628, 128319, 128250, 78228, 128704, 128675, 279, 78, 136753, 128960, 128871, 85636, 128415, 79668, 28776, 137261, 128513, 129888, 128356, 137288, 128327, 11, 128423, 128432, 624, 33, 37678, 134352, 128311, 128427, 132630, 11, 131628, 128319, 128250, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 129822, 128319, 128456, 128415, 141580, 128451, 129481, 128886, 59735, 78228, 128704, 128675, 11, 128361, 130390, 131943, 129591, 130388, 279, 78, 126370, 128333, 624, 2183, 124504, 128521, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805 ]
806
[ 4239, 129785, 131868, 92155, 128531, 23165, 2143, 128271, 126258, 128595, 128484, 131560, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 136146, 128290, 220, 17, 15, 16, 20, 129738, 128484, 131560, 94576, 128365, 128375, 92105, 11, 128365, 128375, 135578, 128425, 28776, 129427, 130554, 62029, 131531, 136514, 128304, 220, 16, 4, 62029, 131531, 128575, 135364, 128401, 29070, 11, 129509, 138051, 220, 19, 23, 54173, 624, 40225, 1794, 37915, 129203, 128575, 59735, 131786, 128361, 128362, 128531, 128365, 128375, 856, 27924, 128263, 128290, 220, 17, 15, 16, 20, 126199, 73061, 8065, 29070, 129785, 131868, 92155, 134634, 141840, 624, 40225, 72, 128278, 2600, 128289, 128362, 128531, 129738, 128365, 128375, 856, 27924, 2600, 29070, 129785, 131868, 92155, 37915, 128289, 129984, 128373, 128457, 128573, 128484, 128387, 130868, 128272, 129645, 128392, 444, 125342, 69738, 47742, 29458, 88488, 128333, 16392, 59735, 15611, 128272, 730, 16739, 128534, 128781, 2162, 78, 29070, 129785, 131868, 92155, 94576, 128526, 220, 19, 14, 17, 15, 16, 17, 13, 138907, 128573, 96535, 28776, 129363, 128365, 128362, 63478, 220, 18, 17, 16, 13, 15, 15, 15, 95887, 47742, 129572, 128751, 128447, 220, 17, 17, 16, 133270, 129019, 7284, 17, 270, 75050, 15122, 61758, 128290, 13, 130244, 37915, 126258, 128595, 138713, 128338, 128826, 131575, 272, 94313, 296, 124504, 922, 276, 128550, 69086, 6592, 128403, 59735, 15611, 128265, 128289, 130314, 2162, 78, 129427, 130554, 128353, 128284, 128365, 128375, 131560, 128272, 29070, 129785, 131868, 92155, 11, 128757, 141700, 129597, 128907, 128375, 129019, 12499, 270, 75050, 15122, 94576, 128275, 128392, 624, 34, 88771, 128250, 129738, 128365, 128375, 128387, 130868, 11, 128283, 308, 352, 29070, 129785, 131868, 92155, 28776, 128275, 128392, 128362, 128484, 128353, 128284, 128365, 128375, 135578, 128425, 94576, 141109, 435, 29341, 479, 22190, 356, 16685, 320, 446, 72115, 129336, 133508, 8, 128250, 62029, 131531, 220, 17, 44482, 11, 128623, 128285, 94576, 128526, 220, 22, 14, 17, 15, 15, 20, 47742, 79126, 130669, 128350, 141593, 128484, 29070, 624, 45, 3346, 52551, 15122, 11, 128273, 128704, 129030, 128487, 128320, 128271, 141109, 521, 61452, 326, 124614, 435, 29341, 63478, 126258, 128935, 128943, 128622, 128275, 128392, 128362, 128484, 94576, 435, 29341, 11, 128260, 141109, 435, 29341, 50327, 64, 2350, 124603, 320, 71, 124853, 129336, 910, 124415, 8, 128250, 62029, 131531, 129168, 220, 22, 54173, 11, 141109, 435, 29341, 130215, 663, 125092, 320, 71, 124853, 472, 125877, 386, 61452, 8, 128250, 62029, 131531, 220, 22, 54173, 128475, 141673, 128365, 128260, 78228, 141109, 521, 61452, 326, 124614, 435, 29341, 128269, 2350, 124603, 140923, 220, 16, 320, 71, 124853, 356, 42504, 33282, 4292, 34, 88771, 128250, 129203, 128575, 128362, 128531, 78228, 129738, 128365, 128375, 135578, 128425, 11, 94576, 129742, 128290, 220, 17, 15, 16, 16, 11, 130017, 128534, 13580, 128534, 128386, 136313, 136942, 11, 130017, 128534, 13580, 135601, 128599, 29070, 129785, 131868, 92155, 11, 128534, 13580, 4182, 417, 4737, 47742, 128534, 13580, 809, 77, 50, 220, 506, 12979, 44, 320, 45, 6743, 8, 79126, 128319, 128400, 64061, 128980, 128249, 62029, 13580, 128744, 85636, 128415, 78228, 128422, 128279, 128484, 135963, 272, 2185, 128376, 2600, 78228, 126258, 128595, 128484, 135963, 128273, 125440, 128301, 47742, 128415, 97610, 13, 132743, 128534, 13580, 85636, 128415, 131885, 128990, 220, 18, 134902, 128484, 135963, 279, 78, 62029, 128781, 809, 77, 50, 59735, 451, 6743, 128250, 129822, 128309, 128466, 220, 19, 11, 23, 129077, 19551, 11, 69086, 128270, 28776, 220, 17, 134902, 63478, 128845, 128272, 131210, 138310, 15392, 76294, 624, 1001, 124397, 220, 19, 14, 17, 15, 16, 17, 128727, 73525, 11, 128534, 13580, 30923, 23180, 1599, 124317, 128855, 220, 137048, 131537, 220, 15687, 128717, 128534, 134129, 79126, 128456, 128415, 73061, 8065, 29070, 129785, 131868, 92155, 2600, 130224, 128531, 23165, 2143, 126258, 128595, 128484, 135963, 62029, 131531, 220, 17, 15, 15, 44482, 128250, 129822, 130498, 128278, 128379, 220, 16, 15, 13, 15, 15, 15, 129427, 128329, 128272, 126260, 489, 124644, 138310, 663, 125092, 320, 71, 124853, 138310, 15392, 76294, 4292, 2183, 64, 132123, 129261, 128269, 138310, 15392, 76294, 28776, 133061, 128368, 135963, 128273, 220, 22, 76, 4846, 72, 124317, 11, 129831, 128319, 128250, 128289, 128362, 128531, 128484, 135963, 11, 128425, 128622, 129738, 128365, 128375, 135578, 128425, 2600, 64061, 128974, 13, 129024, 63478, 130224, 128531, 23165, 2143, 11, 62029, 13580, 96535, 128267, 135765, 128845, 220, 16, 17, 20, 9765, 8892, 135963, 131778, 129121, 220, 17, 15, 16017, 130702, 294, 82026, 279, 78, 141109, 130027, 138310, 663, 125092, 11, 653, 128534, 13580, 29857, 320, 44, 125093, 8, 272, 2185, 128376, 47742, 135765, 128845, 13, 132809, 342, 1103, 128943, 128855, 59735, 126258, 128595, 96535, 129168, 220, 18, 12, 19, 128290, 624, 34, 24015, 1163, 2426, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4239, 129785, 131868, 92155, 128531, 23165, 2143, 128271, 126258, 128595, 128484, 131560, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 136146, 128290, 220, 17, 15, 16, 20, 129738, 128484, 131560, 94576, 128365, 128375, 92105, 11, 128365, 128375, 135578, 128425, 28776, 129427, 130554, 62029, 131531, 136514, 128304, 220, 16, 4, 62029, 131531, 128575, 135364, 128401, 29070, 11, 129509, 138051, 220, 19, 23, 54173, 624, 40225, 1794, 37915, 129203, 128575, 59735, 131786, 128361, 128362, 128531, 128365, 128375, 856, 27924, 128263, 128290, 220, 17, 15, 16, 20, 126199, 73061, 8065, 29070, 129785, 131868, 92155, 134634, 141840, 624, 40225, 72, 128278, 2600, 128289, 128362, 128531, 129738, 128365, 128375, 856, 27924, 2600, 29070, 129785, 131868, 92155, 37915, 128289, 129984, 128373, 128457, 128573, 128484, 128387, 130868, 128272, 129645, 128392, 444, 125342, 69738, 47742, 29458, 88488, 128333, 16392, 59735, 15611, 128272, 730, 16739, 128534, 128781, 2162, 78, 29070, 129785, 131868, 92155, 94576, 128526, 220, 19, 14, 17, 15, 16, 17, 13, 138907, 128573, 96535, 28776, 129363, 128365, 128362, 63478, 220, 18, 17, 16, 13, 15, 15, 15, 95887, 47742, 129572, 128751, 128447, 220, 17, 17, 16, 133270, 129019, 7284, 17, 270, 75050, 15122, 61758, 128290, 13, 130244, 37915, 126258, 128595, 138713, 128338, 128826, 131575, 272, 94313, 296, 124504, 922, 276, 128550, 69086, 6592, 128403, 59735, 15611, 128265, 128289, 130314, 2162, 78, 129427, 130554, 128353, 128284, 128365, 128375, 131560, 128272, 29070, 129785, 131868, 92155, 11, 128757, 141700, 129597, 128907, 128375, 129019, 12499, 270, 75050, 15122, 94576, 128275, 128392, 624, 34, 88771, 128250, 129738, 128365, 128375, 128387, 130868, 11, 128283, 308, 352, 29070, 129785, 131868, 92155, 28776, 128275, 128392, 128362, 128484, 128353, 128284, 128365, 128375, 135578, 128425, 94576, 141109, 435, 29341, 479, 22190, 356, 16685, 320, 446, 72115, 129336, 133508, 8, 128250, 62029, 131531, 220, 17, 44482, 11, 128623, 128285, 94576, 128526, 220, 22, 14, 17, 15, 15, 20, 47742, 79126, 130669, 128350, 141593, 128484, 29070, 624, 45, 3346, 52551, 15122, 11, 128273, 128704, 129030, 128487, 128320, 128271, 141109, 521, 61452, 326, 124614, 435, 29341, 63478, 126258, 128935, 128943, 128622, 128275, 128392, 128362, 128484, 94576, 435, 29341, 11, 128260, 141109, 435, 29341, 50327, 64, 2350, 124603, 320, 71, 124853, 129336, 910, 124415, 8, 128250, 62029, 131531, 129168, 220, 22, 54173, 11, 141109, 435, 29341, 130215, 663, 125092, 320, 71, 124853, 472, 125877, 386, 61452, 8, 128250, 62029, 131531, 220, 22, 54173, 128475, 141673, 128365, 128260, 78228, 141109, 521, 61452, 326, 124614, 435, 29341, 128269, 2350, 124603, 140923, 220, 16, 320, 71, 124853, 356, 42504, 33282, 4292, 34, 88771, 128250, 129203, 128575, 128362, 128531, 78228, 129738, 128365, 128375, 135578, 128425, 11, 94576, 129742, 128290, 220, 17, 15, 16, 16, 11, 130017, 128534, 13580, 128534, 128386, 136313, 136942, 11, 130017, 128534, 13580, 135601, 128599, 29070, 129785, 131868, 92155, 11, 128534, 13580, 4182, 417, 4737, 47742, 128534, 13580, 809, 77, 50, 220, 506, 12979, 44, 320, 45, 6743, 8, 79126, 128319, 128400, 64061, 128980, 128249, 62029, 13580, 128744, 85636, 128415, 78228, 128422, 128279, 128484, 135963, 272, 2185, 128376, 2600, 78228, 126258, 128595, 128484, 135963, 128273, 125440, 128301, 47742, 128415, 97610, 13, 132743, 128534, 13580, 85636, 128415, 131885, 128990, 220, 18, 134902, 128484, 135963, 279, 78, 62029, 128781, 809, 77, 50, 59735, 451, 6743, 128250, 129822, 128309, 128466, 220, 19, 11, 23, 129077, 19551, 11, 69086, 128270, 28776, 220, 17, 134902, 63478, 128845, 128272, 131210, 138310, 15392, 76294, 624, 1001, 124397, 220, 19, 14, 17, 15, 16, 17, 128727, 73525, 11, 128534, 13580, 30923, 23180, 1599, 124317, 128855, 220, 137048, 131537, 220, 15687, 128717, 128534, 134129, 79126, 128456, 128415, 73061, 8065, 29070, 129785, 131868, 92155, 2600, 130224, 128531, 23165, 2143, 126258, 128595, 128484, 135963, 62029, 131531, 220, 17, 15, 15, 44482, 128250, 129822, 130498, 128278, 128379, 220, 16, 15, 13, 15, 15, 15, 129427, 128329, 128272, 126260, 489, 124644, 138310, 663, 125092, 320, 71, 124853, 138310, 15392, 76294, 4292, 2183, 64, 132123, 129261, 128269, 138310, 15392, 76294, 28776, 133061, 128368, 135963, 128273, 220, 22, 76, 4846, 72, 124317, 11, 129831, 128319, 128250, 128289, 128362, 128531, 128484, 135963, 11, 128425, 128622, 129738, 128365, 128375, 135578, 128425, 2600, 64061, 128974, 13, 129024, 63478, 130224, 128531, 23165, 2143, 11, 62029, 13580, 96535, 128267, 135765, 128845, 220, 16, 17, 20, 9765, 8892, 135963, 131778, 129121, 220, 17, 15, 16017, 130702, 294, 82026, 279, 78, 141109, 130027, 138310, 663, 125092, 11, 653, 128534, 13580, 29857, 320, 44, 125093, 8, 272, 2185, 128376, 47742, 135765, 128845, 13, 132809, 342, 1103, 128943, 128855, 59735, 126258, 128595, 96535, 129168, 220, 18, 12, 19, 128290, 624, 34, 24015, 1163, 2426, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740 ]
741
[ 34, 69611, 128249, 131167, 132234, 128386, 62029, 128781, 2162, 78, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 50327, 124656, 61758, 128278, 128265, 128415, 97610, 143692, 11, 128344, 128283, 128324, 29974, 128487, 128651, 28776, 130469, 326, 89639, 128352, 50196, 128788, 138397, 47742, 128560, 128423, 128324, 79668, 128370, 129054, 128273, 128331, 128664, 128384, 13, 134845, 37915, 129260, 128963, 1308, 71, 128977, 2600, 128289, 130693, 129156, 730, 22455, 45, 69086, 132122, 128978, 132234, 128386, 128487, 130502, 128277, 128744, 131307, 624, 3357, 16685, 128531, 730, 22455, 45, 92105, 128425, 63478, 14854, 94313, 129108, 2600, 131167, 132234, 128386, 624, 33, 37678, 129528, 129029, 44678, 2828, 6408, 356, 3441, 129938, 135322, 79126, 136732, 128333, 11, 128456, 128595, 135578, 128322, 133795, 129857, 132234, 128386, 128491, 129664, 128423, 128432, 2162, 78, 128282, 126258, 64, 86139, 730, 22455, 45, 624, 785, 78, 128826, 128309, 59735, 142394, 8943, 730, 22455, 45, 47742, 386, 124312, 128331, 59735, 128494, 128410, 11, 94576, 128290, 220, 17, 15, 15, 23, 128263, 308, 352, 11, 129645, 128301, 79126, 130176, 128304, 220, 17, 13, 16, 15, 15, 129427, 128329, 79668, 128531, 23165, 2143, 78228, 126258, 128595, 130469, 47742, 128943, 128855, 128322, 128760, 128853, 128380, 128904, 128367, 130693, 129156, 11, 128830, 342, 22516, 129263, 128366, 730, 22455, 45, 128260, 131140, 131520, 132601, 85636, 11, 130314, 128376, 78228, 128322, 128760, 130693, 129156, 90453, 76294, 128270, 79126, 130693, 129156, 11, 128509, 128425, 63478, 61758, 137451, 130469, 129368, 135149, 11, 128853, 132645, 28776, 128365, 131531, 11, 128380, 128375, 2162, 78, 128930, 86139, 85636, 128415, 13, 130676, 15122, 28776, 128914, 220, 17, 15, 15, 126370, 128361, 62029, 128781, 63478, 62029, 128370, 47742, 128740, 128284, 69086, 128336, 8988, 125115, 11, 130889, 131072, 922, 276, 128550, 86139, 128289, 130314, 2162, 78, 128309, 128466, 59735, 132234, 85636, 624, 51, 4076, 128452, 32154, 293, 3441, 135594, 128290, 128726, 92105, 47742, 128362, 128531, 129857, 132234, 128386, 11, 128253, 129263, 128366, 128265, 80355, 33539, 294, 77869, 128260, 128487, 128651, 128336, 128277, 28776, 63478, 128253, 130203, 129263, 71800, 128304, 128249, 131167, 65742, 968, 135584, 130052, 624, 785, 78, 128436, 2350, 276, 133361, 142840, 11, 130085, 129414, 142394, 8943, 730, 22455, 45, 609, 386, 124312, 128331, 59735, 128494, 128410, 11, 128322, 128751, 129270, 128356, 730, 22455, 45, 128283, 128320, 138117, 128726, 92105, 11, 128553, 489, 2185, 128427, 129553, 86139, 78228, 129553, 129556, 128278, 86139, 11, 128651, 922, 276, 128396, 128263, 129270, 128356, 128380, 128375, 128278, 15122, 47742, 128740, 128284, 129263, 128366, 129531, 128859, 86139, 128336, 8988, 125115, 624, 1001, 92302, 128384, 11, 129857, 451, 24015, 128386, 128487, 128348, 130502, 128495, 130361, 130693, 129156, 129822, 128254, 2600, 128401, 129857, 47742, 128981, 132122, 128978, 13, 3155, 128270, 11, 131167, 132234, 128386, 128301, 9450, 128487, 37915, 85636, 128415, 128821, 11, 130734, 76, 128375, 730, 22455, 45, 69086, 128309, 128466, 85636, 79479, 128320, 132058, 624, 45, 3346, 52551, 15122, 11, 128419, 129916, 330, 331, 127200, 131641, 128380, 856, 35234, 1, 129738, 128599, 69086, 132122, 128978, 730, 22455, 45, 128348, 28776, 92654, 128846, 128529, 653, 130502, 128311, 95082, 130483, 79126, 72, 128250, 128251, 128266, 62029, 128400, 130693, 129156, 624, 1001, 58812, 129528, 129029, 44678, 2828, 6408, 131699, 128494, 3155, 27924, 128268, 128370, 128333, 11, 128457, 128432, 59735, 128289, 62029, 128781, 138117, 128726, 92105, 128317, 128271, 85636, 79479, 132234, 128386, 129045, 128573, 59735, 128301, 9450, 128487, 128269, 128419, 129916, 128380, 128375, 132058, 11, 128309, 64061, 2162, 78, 11, 130502, 128738, 129623, 23686, 71, 13, 135359, 128589, 11, 62029, 128781, 128417, 129270, 11, 128751, 128871, 131307, 128421, 128250, 85636, 79479, 132234, 128386, 128320, 129553, 135153, 128893, 2600, 128271, 132234, 85636, 128279, 141753, 270, 22190, 72, 128265, 128309, 128273, 126260, 128331, 128314, 128449, 624, 34, 38715, 128751, 9805, 71, 128623, 11, 130693, 129156, 279, 78, 128498, 128451, 624, 785, 78, 129029, 129528, 129029, 730, 98661, 128292, 47742, 128534, 128781, 128984, 137833, 11, 128327, 342, 1103, 128447, 11, 128360, 128643, 130509, 128329, 128366, 128322, 128751, 11, 128311, 95082, 79668, 133600, 132668, 128623, 128285, 130693, 129156, 730, 22455, 45, 69086, 132122, 128978, 132234, 128386, 13, 84137, 128270, 11, 128360, 128422, 128282, 128830, 128726, 128322, 128751, 128623, 128285, 59735, 78228, 126341, 128502, 130693, 129156, 730, 22455, 45, 132234, 128386, 94576, 62029, 128980, 28240, 128377, 128427, 11, 128377, 129949, 131368, 129414, 13, 130717, 128327, 133600, 132668, 128362, 128531, 126260, 128331, 730, 22455, 45, 69086, 132234, 128386, 128260, 128623, 128285, 296, 4284, 128627, 128450, 128918, 130469, 128450, 128918, 129368, 135149, 11, 128853, 132645, 624, 13048, 51054, 128272, 11, 129738, 128599, 128278, 128379, 2600, 132234, 128386, 11, 132234, 128394, 11, 132234, 138757, 92105, 98127, 130925, 128740, 129168, 220, 20, 20, 12, 21, 15, 4, 141580, 128451, 13, 1163, 644, 94994, 128270, 11, 78228, 128311, 95082, 135984, 23165, 125531, 653, 27924, 128386, 128278, 128379, 86139, 132122, 128978, 96535, 128651, 128362, 305, 4076, 63478, 128423, 128432, 13, 1163, 644, 142303, 128595, 350, 124900, 128322, 133795, 129857, 451, 24015, 128386, 279, 78, 128846, 130314, 2162, 78, 128309, 128466, 94995, 128529, 47742, 128362, 128531, 135268, 135584, 11, 128289, 130693, 129156, 72067, 64, 128292, 47742, 131912, 128425, 128310, 128599, 63478, 129207, 128333, 129398, 135437, 128304, 279, 78, 128846, 132668, 128818, 128847, 128410, 128585, 13, 129005, 65526, 128433, 128338, 128507, 128367, 128277, 128386, 62029, 128980, 128267, 63478, 128943, 128855, 279, 78, 128846, 128377, 128427, 11, 128377, 129949, 131368, 129414, 13, 3406, 64, 128270, 128267, 305, 4076, 128285, 63478, 128277, 270, 309, 94995, 59735, 129202, 125440, 78228, 64061, 128463, 595, 20868, 128384, 11, 128788, 128589, 78228, 653, 27924, 128386, 128703, 129645, 128301, 86139, 78228, 128623, 128285, 730, 22455, 45, 11, 131912, 128425, 47742, 78228, 128507, 128367, 132234, 128386, 128354, 13, 139602, 128250, 128270, 11, 78228, 128623, 128285, 135984, 132234, 128268, 128267, 63478, 129036, 128376, 128818, 137125, 2600, 126341, 128502, 132234, 128394, 47742, 653, 27924, 128386, 11, 128529, 595, 20868, 128812, 128278, 128379, 2600, 730, 22455, 45, 47742, 128854, 128425, 129738, 128310, 128599, 11, 135984, 132234, 624, 33, 37678, 129528, 129029, 44678, 2828, 6408, 356, 3441, 129938, 135322, 136732, 128333, 11, 78228, 128811, 85536, 130483, 128924, 130693, 129156, 128267, 63478, 129207, 128333, 130483, 128924, 279, 78, 128431, 128935, 59735, 78228, 126341, 128502, 132234, 128394, 47742, 653, 27924, 128386, 13, 17275, 88602, 130509, 128457, 128573, 133804, 129261, 47742, 128826, 128309, 128423, 128432, 128623, 128285, 130693, 129156, 79668, 308, 9917, 71, 128830, 342, 22516, 78228, 128403, 128432, 130693, 129156, 86139, 129169, 128480, 624, 33, 37678, 44678, 2828, 6408, 128268, 128267, 129481, 128886, 132234, 128394, 128403, 132364, 11, 128424, 136855, 78228, 128507, 128367, 130693, 129156, 11, 128830, 342, 22516, 47742, 129470, 128284, 129263, 128366, 129531, 128859, 13, 18971, 5492, 128250, 128270, 37915, 129367, 129922, 78228, 128338, 128482, 131912, 128425, 132197, 11, 128310, 129922, 78228, 130179, 128338, 128418, 69086, 131912, 128425, 132197, 2600, 1187, 78, 128285, 132234, 138757, 136822, 128250, 78228, 129263, 128366, 80355, 33539, 624, 40225, 71431, 139177, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34, 69611, 128249, 131167, 132234, 128386, 62029, 128781, 2162, 78, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 50327, 124656, 61758, 128278, 128265, 128415, 97610, 143692, 11, 128344, 128283, 128324, 29974, 128487, 128651, 28776, 130469, 326, 89639, 128352, 50196, 128788, 138397, 47742, 128560, 128423, 128324, 79668, 128370, 129054, 128273, 128331, 128664, 128384, 13, 134845, 37915, 129260, 128963, 1308, 71, 128977, 2600, 128289, 130693, 129156, 730, 22455, 45, 69086, 132122, 128978, 132234, 128386, 128487, 130502, 128277, 128744, 131307, 624, 3357, 16685, 128531, 730, 22455, 45, 92105, 128425, 63478, 14854, 94313, 129108, 2600, 131167, 132234, 128386, 624, 33, 37678, 129528, 129029, 44678, 2828, 6408, 356, 3441, 129938, 135322, 79126, 136732, 128333, 11, 128456, 128595, 135578, 128322, 133795, 129857, 132234, 128386, 128491, 129664, 128423, 128432, 2162, 78, 128282, 126258, 64, 86139, 730, 22455, 45, 624, 785, 78, 128826, 128309, 59735, 142394, 8943, 730, 22455, 45, 47742, 386, 124312, 128331, 59735, 128494, 128410, 11, 94576, 128290, 220, 17, 15, 15, 23, 128263, 308, 352, 11, 129645, 128301, 79126, 130176, 128304, 220, 17, 13, 16, 15, 15, 129427, 128329, 79668, 128531, 23165, 2143, 78228, 126258, 128595, 130469, 47742, 128943, 128855, 128322, 128760, 128853, 128380, 128904, 128367, 130693, 129156, 11, 128830, 342, 22516, 129263, 128366, 730, 22455, 45, 128260, 131140, 131520, 132601, 85636, 11, 130314, 128376, 78228, 128322, 128760, 130693, 129156, 90453, 76294, 128270, 79126, 130693, 129156, 11, 128509, 128425, 63478, 61758, 137451, 130469, 129368, 135149, 11, 128853, 132645, 28776, 128365, 131531, 11, 128380, 128375, 2162, 78, 128930, 86139, 85636, 128415, 13, 130676, 15122, 28776, 128914, 220, 17, 15, 15, 126370, 128361, 62029, 128781, 63478, 62029, 128370, 47742, 128740, 128284, 69086, 128336, 8988, 125115, 11, 130889, 131072, 922, 276, 128550, 86139, 128289, 130314, 2162, 78, 128309, 128466, 59735, 132234, 85636, 624, 51, 4076, 128452, 32154, 293, 3441, 135594, 128290, 128726, 92105, 47742, 128362, 128531, 129857, 132234, 128386, 11, 128253, 129263, 128366, 128265, 80355, 33539, 294, 77869, 128260, 128487, 128651, 128336, 128277, 28776, 63478, 128253, 130203, 129263, 71800, 128304, 128249, 131167, 65742, 968, 135584, 130052, 624, 785, 78, 128436, 2350, 276, 133361, 142840, 11, 130085, 129414, 142394, 8943, 730, 22455, 45, 609, 386, 124312, 128331, 59735, 128494, 128410, 11, 128322, 128751, 129270, 128356, 730, 22455, 45, 128283, 128320, 138117, 128726, 92105, 11, 128553, 489, 2185, 128427, 129553, 86139, 78228, 129553, 129556, 128278, 86139, 11, 128651, 922, 276, 128396, 128263, 129270, 128356, 128380, 128375, 128278, 15122, 47742, 128740, 128284, 129263, 128366, 129531, 128859, 86139, 128336, 8988, 125115, 624, 1001, 92302, 128384, 11, 129857, 451, 24015, 128386, 128487, 128348, 130502, 128495, 130361, 130693, 129156, 129822, 128254, 2600, 128401, 129857, 47742, 128981, 132122, 128978, 13, 3155, 128270, 11, 131167, 132234, 128386, 128301, 9450, 128487, 37915, 85636, 128415, 128821, 11, 130734, 76, 128375, 730, 22455, 45, 69086, 128309, 128466, 85636, 79479, 128320, 132058, 624, 45, 3346, 52551, 15122, 11, 128419, 129916, 330, 331, 127200, 131641, 128380, 856, 35234, 1, 129738, 128599, 69086, 132122, 128978, 730, 22455, 45, 128348, 28776, 92654, 128846, 128529, 653, 130502, 128311, 95082, 130483, 79126, 72, 128250, 128251, 128266, 62029, 128400, 130693, 129156, 624, 1001, 58812, 129528, 129029, 44678, 2828, 6408, 131699, 128494, 3155, 27924, 128268, 128370, 128333, 11, 128457, 128432, 59735, 128289, 62029, 128781, 138117, 128726, 92105, 128317, 128271, 85636, 79479, 132234, 128386, 129045, 128573, 59735, 128301, 9450, 128487, 128269, 128419, 129916, 128380, 128375, 132058, 11, 128309, 64061, 2162, 78, 11, 130502, 128738, 129623, 23686, 71, 13, 135359, 128589, 11, 62029, 128781, 128417, 129270, 11, 128751, 128871, 131307, 128421, 128250, 85636, 79479, 132234, 128386, 128320, 129553, 135153, 128893, 2600, 128271, 132234, 85636, 128279, 141753, 270, 22190, 72, 128265, 128309, 128273, 126260, 128331, 128314, 128449, 624, 34, 38715, 128751, 9805, 71, 128623, 11, 130693, 129156, 279, 78, 128498, 128451, 624, 785, 78, 129029, 129528, 129029, 730, 98661, 128292, 47742, 128534, 128781, 128984, 137833, 11, 128327, 342, 1103, 128447, 11, 128360, 128643, 130509, 128329, 128366, 128322, 128751, 11, 128311, 95082, 79668, 133600, 132668, 128623, 128285, 130693, 129156, 730, 22455, 45, 69086, 132122, 128978, 132234, 128386, 13, 84137, 128270, 11, 128360, 128422, 128282, 128830, 128726, 128322, 128751, 128623, 128285, 59735, 78228, 126341, 128502, 130693, 129156, 730, 22455, 45, 132234, 128386, 94576, 62029, 128980, 28240, 128377, 128427, 11, 128377, 129949, 131368, 129414, 13, 130717, 128327, 133600, 132668, 128362, 128531, 126260, 128331, 730, 22455, 45, 69086, 132234, 128386, 128260, 128623, 128285, 296, 4284, 128627, 128450, 128918, 130469, 128450, 128918, 129368, 135149, 11, 128853, 132645, 624, 13048, 51054, 128272, 11, 129738, 128599, 128278, 128379, 2600, 132234, 128386, 11, 132234, 128394, 11, 132234, 138757, 92105, 98127, 130925, 128740, 129168, 220, 20, 20, 12, 21, 15, 4, 141580, 128451, 13, 1163, 644, 94994, 128270, 11, 78228, 128311, 95082, 135984, 23165, 125531, 653, 27924, 128386, 128278, 128379, 86139, 132122, 128978, 96535, 128651, 128362, 305, 4076, 63478, 128423, 128432, 13, 1163, 644, 142303, 128595, 350, 124900, 128322, 133795, 129857, 451, 24015, 128386, 279, 78, 128846, 130314, 2162, 78, 128309, 128466, 94995, 128529, 47742, 128362, 128531, 135268, 135584, 11, 128289, 130693, 129156, 72067, 64, 128292, 47742, 131912, 128425, 128310, 128599, 63478, 129207, 128333, 129398, 135437, 128304, 279, 78, 128846, 132668, 128818, 128847, 128410, 128585, 13, 129005, 65526, 128433, 128338, 128507, 128367, 128277, 128386, 62029, 128980, 128267, 63478, 128943, 128855, 279, 78, 128846, 128377, 128427, 11, 128377, 129949, 131368, 129414, 13, 3406, 64, 128270, 128267, 305, 4076, 128285, 63478, 128277, 270, 309, 94995, 59735, 129202, 125440, 78228, 64061, 128463, 595, 20868, 128384, 11, 128788, 128589, 78228, 653, 27924, 128386, 128703, 129645, 128301, 86139, 78228, 128623, 128285, 730, 22455, 45, 11, 131912, 128425, 47742, 78228, 128507, 128367, 132234, 128386, 128354, 13, 139602, 128250, 128270, 11, 78228, 128623, 128285, 135984, 132234, 128268, 128267, 63478, 129036, 128376, 128818, 137125, 2600, 126341, 128502, 132234, 128394, 47742, 653, 27924, 128386, 11, 128529, 595, 20868, 128812, 128278, 128379, 2600, 730, 22455, 45, 47742, 128854, 128425, 129738, 128310, 128599, 11, 135984, 132234, 624, 33, 37678, 129528, 129029, 44678, 2828, 6408, 356, 3441, 129938, 135322, 136732, 128333, 11, 78228, 128811, 85536, 130483, 128924, 130693, 129156, 128267, 63478, 129207, 128333, 130483, 128924, 279, 78, 128431, 128935, 59735, 78228, 126341, 128502, 132234, 128394, 47742, 653, 27924, 128386, 13, 17275, 88602, 130509, 128457, 128573, 133804, 129261, 47742, 128826, 128309, 128423, 128432, 128623, 128285, 130693, 129156, 79668, 308, 9917, 71, 128830, 342, 22516, 78228, 128403, 128432, 130693, 129156, 86139, 129169, 128480, 624, 33, 37678, 44678, 2828, 6408, 128268, 128267, 129481, 128886, 132234, 128394, 128403, 132364, 11, 128424, 136855, 78228, 128507, 128367, 130693, 129156, 11, 128830, 342, 22516, 47742, 129470, 128284, 129263, 128366, 129531, 128859, 13, 18971, 5492, 128250, 128270, 37915, 129367, 129922, 78228, 128338, 128482, 131912, 128425, 132197, 11, 128310, 129922, 78228, 130179, 128338, 128418, 69086, 131912, 128425, 132197, 2600, 1187, 78, 128285, 132234, 138757, 136822, 128250, 78228, 129263, 128366, 80355, 33539, 624, 40225, 71431, 139177, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097 ]
1,098
[ 39, 124489, 130097, 663, 98210, 140868, 1527, 19550, 71, 472, 124646, 128310, 220, 18, 23165, 2143, 296, 124904, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129935, 130097, 663, 98210, 140868, 1527, 19550, 71, 472, 124646, 128310, 128568, 128720, 12789, 79126, 331, 125012, 128482, 23165, 2143, 296, 124904, 129597, 220, 17, 19, 14, 18, 320, 1782, 78, 128626, 128324, 29974, 701, 128272, 1163, 2185, 128396, 129935, 130097, 141351, 129560, 131346, 13535, 38715, 2426, 8747, 17798, 68, 11, 128521, 34782, 11, 128250, 128277, 270, 309, 126258, 59735, 220, 20, 18, 128664, 94995, 47742, 220, 20, 126341, 128502, 128664, 128384, 66454, 644, 128270, 28776, 128914, 220, 19, 15, 131400, 128854, 128376, 2162, 78, 11, 293, 3441, 130068, 129031, 128799, 78228, 132300, 922, 27607, 331, 124646, 128310, 128314, 128449, 624, 39, 124489, 130097, 663, 98210, 140868, 1527, 19550, 71, 472, 124646, 128310, 128568, 128720, 12789, 128272, 1163, 2185, 128396, 129935, 130097, 141351, 129560, 131346, 128449, 4929, 17798, 68, 11, 128521, 34782, 481, 220, 126884, 16719, 25, 350, 22867, 71961, 624, 3357, 16685, 129626, 23165, 2143, 296, 124904, 129935, 130097, 11, 130390, 131943, 128521, 34782, 4389, 47121, 665, 11, 130017, 129101, 129212, 130578, 472, 84300, 79, 128494, 22730, 29458, 1448, 9009, 11, 130017, 137295, 133796, 134695, 922, 276, 451, 58597, 128375, 132019, 128804, 128494, 128384, 320, 5863, 19112, 8, 809, 21504, 7755, 362, 1515, 78, 128582, 11386, 276, 124414, 5498, 16719, 128253, 129263, 128366, 129861, 130291, 129664, 63478, 73525, 78228, 129935, 130097, 663, 98210, 140868, 128272, 6515, 128290, 220, 17, 15, 16, 15, 11, 50189, 128290, 220, 17, 15, 16, 17, 11, 69086, 128270, 136402, 128906, 78228, 6592, 128403, 653, 78228, 64061, 97483, 128930, 15122, 128582, 79126, 63478, 128336, 128283, 624, 33, 27021, 129623, 131368, 129414, 128322, 128450, 129281, 128265, 78228, 128664, 94995, 69086, 128289, 128417, 129551, 458, 128401, 11, 458, 19550, 71, 134761, 128310, 11, 78228, 128275, 131400, 128854, 128268, 137429, 128818, 128289, 128529, 132300, 128319, 128400, 47742, 131628, 128319, 128664, 128384, 128250, 39486, 129659, 489, 2185, 128396, 59735, 358, 90821, 624, 39, 124489, 130097, 128267, 128424, 128884, 78228, 133234, 132972, 129748, 69086, 131149, 128300, 220, 17, 19, 14, 18, 47742, 128300, 220, 17, 20, 14, 18, 128250, 220, 18, 133234, 128401, 128254, 47742, 220, 17, 133234, 132972, 129748, 128744, 128456, 624, 1001, 42504, 131943, 129591, 130388, 128984, 350, 124644, 142840, 47742, 129675, 128479, 129626, 128376, 2162, 78, 128324, 29974, 270, 309, 126258, 128401, 128366, 78228, 133234, 136856, 128376, 2162, 78, 47742, 128267, 28776, 128601, 128362, 129626, 922, 276, 128550, 128272, 63813, 27021, 128401, 128254, 128720, 128281, 128688, 220, 17, 20, 14, 18, 320, 1782, 78, 128626, 128704, 128675, 4292, 1282, 644, 138411, 133787, 78228, 128623, 128285, 5492, 128675, 59735, 129675, 128479, 129626, 128376, 2162, 78, 128324, 29974, 128272, 128521, 34782, 11, 128300, 220, 17, 19, 14, 18, 11, 133761, 130085, 131443, 128494, 128410, 128984, 130934, 13509, 138737, 128268, 79126, 128263, 133171, 128494, 128410, 128521, 34782, 47742, 28776, 128564, 129233, 128266, 128289, 128250, 128436, 73907, 12710, 12741, 3360, 324, 11, 133761, 130085, 131443, 142394, 8943, 141948, 128367, 132922, 129972, 128521, 34782, 624, 1282, 124603, 128270, 11, 128300, 220, 17, 16, 14, 18, 11, 78228, 3406, 276, 128502, 128376, 2162, 78, 128265, 458, 19550, 71, 134761, 128310, 79126, 136856, 128272, 4929, 17798, 68, 11, 128521, 34782, 11, 131763, 128643, 129202, 62029, 128400, 489, 14926, 128279, 2600, 129935, 130097, 663, 98210, 140868, 1527, 19550, 71, 472, 124646, 128310, 13, 138120, 128324, 29974, 130068, 128479, 129054, 129029, 142769, 342, 22516, 47742, 129029, 730, 98661, 128292, 47742, 128534, 128781, 79126, 270, 309, 126258, 128564, 136856, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39, 124489, 130097, 663, 98210, 140868, 1527, 19550, 71, 472, 124646, 128310, 220, 18, 23165, 2143, 296, 124904, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129935, 130097, 663, 98210, 140868, 1527, 19550, 71, 472, 124646, 128310, 128568, 128720, 12789, 79126, 331, 125012, 128482, 23165, 2143, 296, 124904, 129597, 220, 17, 19, 14, 18, 320, 1782, 78, 128626, 128324, 29974, 701, 128272, 1163, 2185, 128396, 129935, 130097, 141351, 129560, 131346, 13535, 38715, 2426, 8747, 17798, 68, 11, 128521, 34782, 11, 128250, 128277, 270, 309, 126258, 59735, 220, 20, 18, 128664, 94995, 47742, 220, 20, 126341, 128502, 128664, 128384, 66454, 644, 128270, 28776, 128914, 220, 19, 15, 131400, 128854, 128376, 2162, 78, 11, 293, 3441, 130068, 129031, 128799, 78228, 132300, 922, 27607, 331, 124646, 128310, 128314, 128449, 624, 39, 124489, 130097, 663, 98210, 140868, 1527, 19550, 71, 472, 124646, 128310, 128568, 128720, 12789, 128272, 1163, 2185, 128396, 129935, 130097, 141351, 129560, 131346, 128449, 4929, 17798, 68, 11, 128521, 34782, 481, 220, 126884, 16719, 25, 350, 22867, 71961, 624, 3357, 16685, 129626, 23165, 2143, 296, 124904, 129935, 130097, 11, 130390, 131943, 128521, 34782, 4389, 47121, 665, 11, 130017, 129101, 129212, 130578, 472, 84300, 79, 128494, 22730, 29458, 1448, 9009, 11, 130017, 137295, 133796, 134695, 922, 276, 451, 58597, 128375, 132019, 128804, 128494, 128384, 320, 5863, 19112, 8, 809, 21504, 7755, 362, 1515, 78, 128582, 11386, 276, 124414, 5498, 16719, 128253, 129263, 128366, 129861, 130291, 129664, 63478, 73525, 78228, 129935, 130097, 663, 98210, 140868, 128272, 6515, 128290, 220, 17, 15, 16, 15, 11, 50189, 128290, 220, 17, 15, 16, 17, 11, 69086, 128270, 136402, 128906, 78228, 6592, 128403, 653, 78228, 64061, 97483, 128930, 15122, 128582, 79126, 63478, 128336, 128283, 624, 33, 27021, 129623, 131368, 129414, 128322, 128450, 129281, 128265, 78228, 128664, 94995, 69086, 128289, 128417, 129551, 458, 128401, 11, 458, 19550, 71, 134761, 128310, 11, 78228, 128275, 131400, 128854, 128268, 137429, 128818, 128289, 128529, 132300, 128319, 128400, 47742, 131628, 128319, 128664, 128384, 128250, 39486, 129659, 489, 2185, 128396, 59735, 358, 90821, 624, 39, 124489, 130097, 128267, 128424, 128884, 78228, 133234, 132972, 129748, 69086, 131149, 128300, 220, 17, 19, 14, 18, 47742, 128300, 220, 17, 20, 14, 18, 128250, 220, 18, 133234, 128401, 128254, 47742, 220, 17, 133234, 132972, 129748, 128744, 128456, 624, 1001, 42504, 131943, 129591, 130388, 128984, 350, 124644, 142840, 47742, 129675, 128479, 129626, 128376, 2162, 78, 128324, 29974, 270, 309, 126258, 128401, 128366, 78228, 133234, 136856, 128376, 2162, 78, 47742, 128267, 28776, 128601, 128362, 129626, 922, 276, 128550, 128272, 63813, 27021, 128401, 128254, 128720, 128281, 128688, 220, 17, 20, 14, 18, 320, 1782, 78, 128626, 128704, 128675, 4292, 1282, 644, 138411, 133787, 78228, 128623, 128285, 5492, 128675, 59735, 129675, 128479, 129626, 128376, 2162, 78, 128324, 29974, 128272, 128521, 34782, 11, 128300, 220, 17, 19, 14, 18, 11, 133761, 130085, 131443, 128494, 128410, 128984, 130934, 13509, 138737, 128268, 79126, 128263, 133171, 128494, 128410, 128521, 34782, 47742, 28776, 128564, 129233, 128266, 128289, 128250, 128436, 73907, 12710, 12741, 3360, 324, 11, 133761, 130085, 131443, 142394, 8943, 141948, 128367, 132922, 129972, 128521, 34782, 624, 1282, 124603, 128270, 11, 128300, 220, 17, 16, 14, 18, 11, 78228, 3406, 276, 128502, 128376, 2162, 78, 128265, 458, 19550, 71, 134761, 128310, 79126, 136856, 128272, 4929, 17798, 68, 11, 128521, 34782, 11, 131763, 128643, 129202, 62029, 128400, 489, 14926, 128279, 2600, 129935, 130097, 663, 98210, 140868, 1527, 19550, 71, 472, 124646, 128310, 13, 138120, 128324, 29974, 130068, 128479, 129054, 129029, 142769, 342, 22516, 47742, 129029, 730, 98661, 128292, 47742, 128534, 128781, 79126, 270, 309, 126258, 128564, 136856, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580 ]
581
[ 40225, 33450, 128311, 95082, 326, 125252, 128362, 129203, 128575, 128362, 305, 4076, 128423, 128432, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 16, 23, 14, 20, 11, 138737, 61758, 129645, 128301, 320, 51271, 9745, 8, 47742, 142394, 8943, 730, 20868, 128384, 59735, 128494, 128410, 79126, 131628, 128319, 126341, 128502, 129935, 132972, 129591, 95082, 128515, 139091, 326, 125252, 128362, 129203, 128575, 25, 133357, 129506, 128509, 128745, 128319, 2600, 128324, 29974, 624, 1143, 125012, 95082, 128515, 139091, 326, 125252, 128362, 129203, 128575, 28776, 128254, 37915, 129506, 128509, 2600, 128324, 29974, 69086, 128327, 342, 1103, 128447, 624, 1282, 644, 128253, 128290, 73525, 345, 35544, 124382, 29974, 128336, 128283, 128311, 95082, 128515, 139091, 128907, 129203, 128575, 11, 128727, 132668, 128818, 128529, 129528, 79668, 15122, 130553, 131270, 128301, 28776, 77374, 62572, 132058, 47742, 128486, 128784, 62029, 128442, 128289, 128266, 11, 128727, 128880, 130949, 129522, 134814, 326, 125252, 128362, 11, 133713, 128333, 128515, 139091, 11, 128353, 128284, 128311, 95082, 128515, 139091, 128260, 62029, 129705, 129481, 128886, 133713, 128333, 131538, 95082, 11, 856, 58875, 14854, 125444, 128757, 138816, 11, 129551, 128417, 458, 19550, 71, 128664, 94995, 624, 1143, 125012, 95082, 128515, 139091, 128907, 129203, 128575, 79126, 129664, 63478, 128253, 64061, 128377, 84, 128281, 128333, 69086, 128459, 128361, 128726, 92105, 13, 350, 4076, 128452, 11, 69086, 128327, 342, 1103, 128914, 128358, 11, 128311, 95082, 128515, 139091, 96535, 128802, 128278, 293, 124510, 130540, 128253, 129572, 128751, 624, 785, 78, 142394, 8943, 730, 20868, 128384, 59735, 128494, 128410, 11, 595, 20868, 128990, 128271, 128664, 94995, 128273, 128314, 128449, 2600, 128391, 326, 125252, 128362, 129203, 128575, 28776, 128254, 37915, 129506, 128509, 128319, 128356, 2600, 128311, 95082, 128515, 139091, 59735, 128324, 29974, 69086, 128327, 342, 1103, 128447, 624, 785, 78, 128270, 11, 141839, 132630, 129240, 326, 125252, 128362, 128319, 128356, 37915, 129203, 128575, 61758, 128278, 59735, 128311, 95082, 128515, 139091, 79668, 129551, 128417, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 13, 130390, 131943, 128984, 350, 124644, 142840, 69086, 133234, 129477, 128814, 128380, 128580, 128272, 133169, 136856, 128720, 220, 17, 128494, 128410, 131774, 95760, 128268, 79126, 137429, 128818, 128311, 95082, 128427, 128285, 128334, 128373, 128336, 128283, 326, 125252, 128362, 129203, 128575, 624, 53, 39938, 128253, 128334, 129065, 79668, 129470, 128284, 128423, 128432, 138411, 133787, 128311, 95082, 128515, 139091, 279, 78, 326, 125252, 128362, 129203, 128575, 11, 128436, 5836, 70037, 730, 89780, 11, 129393, 129054, 128454, 136003, 3406, 125093, 141630, 139091, 128494, 128384, 320, 1791, 37, 8, 128272, 128324, 29974, 11, 98127, 15122, 220, 19, 128515, 128456, 25, 50327, 124510, 128980, 128254, 128751, 129509, 128421, 59735, 34831, 9745, 11, 128322, 128760, 131140, 131520, 129531, 128859, 128418, 11, 128322, 133795, 595, 20868, 128384, 128423, 128432, 47742, 128457, 128573, 128556, 128311, 128818, 624, 40225, 87939, 128250, 128334, 129065, 128265, 128322, 133795, 595, 20868, 128384, 11, 663, 82, 13, 128984, 1527, 71, 130695, 11, 141004, 140428, 128356, 730, 20868, 128384, 1163, 2185, 220, 85375, 129036, 128761, 11, 129655, 128323, 308, 71431, 128599, 126260, 128331, 128585, 128309, 125440, 128344, 128271, 128387, 61758, 128269, 128324, 29974, 128487, 129281, 129054, 129270, 128356, 128309, 13, 131310, 128484, 11, 128309, 856, 58597, 131318, 653, 27924, 128386, 98127, 63478, 128334, 132314, 69086, 128449, 129572, 47742, 128487, 129949, 128277, 129270, 128356, 137277, 521, 124760, 13, 133802, 129623, 128270, 11, 131167, 595, 20868, 128384, 128949, 20303, 126961, 128467, 128250, 78228, 128960, 128871, 128309, 128314, 128449, 11, 128281, 37915, 128309, 132234, 85636, 11, 130180, 47742, 129240, 128368, 130287, 1187, 128585, 128320, 2162, 78, 624, 45, 92599, 130985, 128265, 78228, 128334, 129065, 128515, 128456, 11, 128324, 29974, 128651, 128643, 128401, 129078, 79668, 128336, 128283, 128311, 95082, 128515, 139091, 326, 125252, 128362, 129203, 128575, 13, 350, 4076, 128452, 11, 279, 78, 128271, 128744, 94995, 11, 128324, 29974, 128487, 28776, 128254, 128802, 128278, 130540, 128361, 128336, 128283, 128311, 95082, 128515, 139091, 326, 125252, 128362, 129203, 128575, 47742, 128329, 128327, 308, 71431, 128599, 130925, 128740, 129078, 128334, 129065, 129470, 128284, 128423, 128432, 128311, 95082, 128515, 139091, 279, 78, 326, 125252, 128362, 129203, 128575, 624, 9951, 13, 128984, 130934, 13509, 663, 27924, 11, 141004, 129528, 141004, 142226, 136312, 138737, 61758, 11, 2600, 128640, 69086, 128334, 129065, 128283, 128272, 59735, 128324, 29974, 11, 128371, 128668, 128353, 128284, 128311, 95082, 128515, 139091, 129522, 134814, 128529, 129528, 129913, 128284, 47742, 272, 2185, 128515, 386, 17, 37915, 129831, 128319, 13, 350, 4076, 128452, 11, 32154, 128290, 220, 17, 15, 16, 18, 11, 128289, 129506, 128509, 129203, 128575, 489, 2185, 342, 1103, 37915, 140694, 131531, 128267, 129831, 128319, 128344, 128282, 129207, 128333, 128311, 129207, 129240, 128368, 129913, 128284, 47742, 140694, 131531, 79668, 129551, 128417, 129664, 63478, 129203, 128575, 129742, 128340, 624, 53, 39938, 134666, 128542, 128457, 128311, 95082, 128556, 131774, 320, 66, 24015, 129705, 134375, 47742, 25798, 128575, 129591, 130388, 8, 128250, 326, 125252, 128362, 129203, 128575, 11, 22965, 13, 132644, 90453, 55973, 663, 58597, 11, 141004, 129528, 141004, 142226, 136312, 47742, 129591, 95082, 134352, 128311, 320, 33, 37678, 134352, 128311, 8, 2600, 128640, 128360, 128282, 129551, 128417, 128311, 95082, 128515, 139091, 53037, 129949, 128400, 128285, 59735, 128311, 95082, 128556, 131774, 11, 129655, 128336, 128283, 128311, 95082, 128515, 139091, 128643, 128401, 129703, 128980, 53037, 128926, 128273, 128336, 128384, 624, 1001, 35928, 128331, 128556, 128311, 69086, 128301, 128282, 28776, 129078, 129363, 128365, 131768, 135364, 128375, 130641, 137535, 126199, 129591, 130388, 128362, 128373, 79668, 293, 14926, 14854, 125342, 293, 124489, 25798, 131538, 95082, 26, 128362, 305, 4076, 128423, 128432, 126260, 128331, 128977, 72067, 11390, 13, 22965, 13, 132644, 90453, 55973, 663, 58597, 137429, 128818, 11, 128311, 95082, 128556, 131774, 128360, 130623, 128886, 63478, 2600, 128311, 95082, 128515, 139091, 11, 128529, 132300, 98170, 24790, 86139, 595, 20868, 128384, 348, 124536, 130179, 128269, 128324, 29974, 13, 128678, 130660, 128421, 128265, 128556, 131774, 128360, 28776, 128277, 133713, 128333, 47742, 135268, 135584, 11, 129572, 128751, 270, 86728, 305, 50483, 83, 131538, 95082, 131778, 129121, 13, 129024, 79668, 270, 86728, 305, 50483, 83, 131778, 129121, 11, 129591, 130388, 128267, 128282, 128362, 128373, 128622, 128515, 128475, 128529, 348, 352, 138178, 11, 128267, 129108, 348, 125726, 138411, 133787, 326, 125252, 128362, 129203, 128575, 69086, 129121, 129572, 624, 40225, 33450, 129551, 128417, 135268, 135584, 131538, 95082, 69086, 129121, 129572, 128360, 129551, 128417, 132551, 129963, 128556, 131774, 134168, 7777, 125022, 11, 128336, 128283, 126258, 130051, 131538, 95082, 63478, 134634, 129311, 11, 128360, 129572, 128751, 128353, 128284, 129738, 128529, 77374, 2600, 128289, 129367, 129922, 128311, 95082, 25798, 128454, 132278, 624, 39, 4076, 663, 124933, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 33450, 128311, 95082, 326, 125252, 128362, 129203, 128575, 128362, 305, 4076, 128423, 128432, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 16, 23, 14, 20, 11, 138737, 61758, 129645, 128301, 320, 51271, 9745, 8, 47742, 142394, 8943, 730, 20868, 128384, 59735, 128494, 128410, 79126, 131628, 128319, 126341, 128502, 129935, 132972, 129591, 95082, 128515, 139091, 326, 125252, 128362, 129203, 128575, 25, 133357, 129506, 128509, 128745, 128319, 2600, 128324, 29974, 624, 1143, 125012, 95082, 128515, 139091, 326, 125252, 128362, 129203, 128575, 28776, 128254, 37915, 129506, 128509, 2600, 128324, 29974, 69086, 128327, 342, 1103, 128447, 624, 1282, 644, 128253, 128290, 73525, 345, 35544, 124382, 29974, 128336, 128283, 128311, 95082, 128515, 139091, 128907, 129203, 128575, 11, 128727, 132668, 128818, 128529, 129528, 79668, 15122, 130553, 131270, 128301, 28776, 77374, 62572, 132058, 47742, 128486, 128784, 62029, 128442, 128289, 128266, 11, 128727, 128880, 130949, 129522, 134814, 326, 125252, 128362, 11, 133713, 128333, 128515, 139091, 11, 128353, 128284, 128311, 95082, 128515, 139091, 128260, 62029, 129705, 129481, 128886, 133713, 128333, 131538, 95082, 11, 856, 58875, 14854, 125444, 128757, 138816, 11, 129551, 128417, 458, 19550, 71, 128664, 94995, 624, 1143, 125012, 95082, 128515, 139091, 128907, 129203, 128575, 79126, 129664, 63478, 128253, 64061, 128377, 84, 128281, 128333, 69086, 128459, 128361, 128726, 92105, 13, 350, 4076, 128452, 11, 69086, 128327, 342, 1103, 128914, 128358, 11, 128311, 95082, 128515, 139091, 96535, 128802, 128278, 293, 124510, 130540, 128253, 129572, 128751, 624, 785, 78, 142394, 8943, 730, 20868, 128384, 59735, 128494, 128410, 11, 595, 20868, 128990, 128271, 128664, 94995, 128273, 128314, 128449, 2600, 128391, 326, 125252, 128362, 129203, 128575, 28776, 128254, 37915, 129506, 128509, 128319, 128356, 2600, 128311, 95082, 128515, 139091, 59735, 128324, 29974, 69086, 128327, 342, 1103, 128447, 624, 785, 78, 128270, 11, 141839, 132630, 129240, 326, 125252, 128362, 128319, 128356, 37915, 129203, 128575, 61758, 128278, 59735, 128311, 95082, 128515, 139091, 79668, 129551, 128417, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 13, 130390, 131943, 128984, 350, 124644, 142840, 69086, 133234, 129477, 128814, 128380, 128580, 128272, 133169, 136856, 128720, 220, 17, 128494, 128410, 131774, 95760, 128268, 79126, 137429, 128818, 128311, 95082, 128427, 128285, 128334, 128373, 128336, 128283, 326, 125252, 128362, 129203, 128575, 624, 53, 39938, 128253, 128334, 129065, 79668, 129470, 128284, 128423, 128432, 138411, 133787, 128311, 95082, 128515, 139091, 279, 78, 326, 125252, 128362, 129203, 128575, 11, 128436, 5836, 70037, 730, 89780, 11, 129393, 129054, 128454, 136003, 3406, 125093, 141630, 139091, 128494, 128384, 320, 1791, 37, 8, 128272, 128324, 29974, 11, 98127, 15122, 220, 19, 128515, 128456, 25, 50327, 124510, 128980, 128254, 128751, 129509, 128421, 59735, 34831, 9745, 11, 128322, 128760, 131140, 131520, 129531, 128859, 128418, 11, 128322, 133795, 595, 20868, 128384, 128423, 128432, 47742, 128457, 128573, 128556, 128311, 128818, 624, 40225, 87939, 128250, 128334, 129065, 128265, 128322, 133795, 595, 20868, 128384, 11, 663, 82, 13, 128984, 1527, 71, 130695, 11, 141004, 140428, 128356, 730, 20868, 128384, 1163, 2185, 220, 85375, 129036, 128761, 11, 129655, 128323, 308, 71431, 128599, 126260, 128331, 128585, 128309, 125440, 128344, 128271, 128387, 61758, 128269, 128324, 29974, 128487, 129281, 129054, 129270, 128356, 128309, 13, 131310, 128484, 11, 128309, 856, 58597, 131318, 653, 27924, 128386, 98127, 63478, 128334, 132314, 69086, 128449, 129572, 47742, 128487, 129949, 128277, 129270, 128356, 137277, 521, 124760, 13, 133802, 129623, 128270, 11, 131167, 595, 20868, 128384, 128949, 20303, 126961, 128467, 128250, 78228, 128960, 128871, 128309, 128314, 128449, 11, 128281, 37915, 128309, 132234, 85636, 11, 130180, 47742, 129240, 128368, 130287, 1187, 128585, 128320, 2162, 78, 624, 45, 92599, 130985, 128265, 78228, 128334, 129065, 128515, 128456, 11, 128324, 29974, 128651, 128643, 128401, 129078, 79668, 128336, 128283, 128311, 95082, 128515, 139091, 326, 125252, 128362, 129203, 128575, 13, 350, 4076, 128452, 11, 279, 78, 128271, 128744, 94995, 11, 128324, 29974, 128487, 28776, 128254, 128802, 128278, 130540, 128361, 128336, 128283, 128311, 95082, 128515, 139091, 326, 125252, 128362, 129203, 128575, 47742, 128329, 128327, 308, 71431, 128599, 130925, 128740, 129078, 128334, 129065, 129470, 128284, 128423, 128432, 128311, 95082, 128515, 139091, 279, 78, 326, 125252, 128362, 129203, 128575, 624, 9951, 13, 128984, 130934, 13509, 663, 27924, 11, 141004, 129528, 141004, 142226, 136312, 138737, 61758, 11, 2600, 128640, 69086, 128334, 129065, 128283, 128272, 59735, 128324, 29974, 11, 128371, 128668, 128353, 128284, 128311, 95082, 128515, 139091, 129522, 134814, 128529, 129528, 129913, 128284, 47742, 272, 2185, 128515, 386, 17, 37915, 129831, 128319, 13, 350, 4076, 128452, 11, 32154, 128290, 220, 17, 15, 16, 18, 11, 128289, 129506, 128509, 129203, 128575, 489, 2185, 342, 1103, 37915, 140694, 131531, 128267, 129831, 128319, 128344, 128282, 129207, 128333, 128311, 129207, 129240, 128368, 129913, 128284, 47742, 140694, 131531, 79668, 129551, 128417, 129664, 63478, 129203, 128575, 129742, 128340, 624, 53, 39938, 134666, 128542, 128457, 128311, 95082, 128556, 131774, 320, 66, 24015, 129705, 134375, 47742, 25798, 128575, 129591, 130388, 8, 128250, 326, 125252, 128362, 129203, 128575, 11, 22965, 13, 132644, 90453, 55973, 663, 58597, 11, 141004, 129528, 141004, 142226, 136312, 47742, 129591, 95082, 134352, 128311, 320, 33, 37678, 134352, 128311, 8, 2600, 128640, 128360, 128282, 129551, 128417, 128311, 95082, 128515, 139091, 53037, 129949, 128400, 128285, 59735, 128311, 95082, 128556, 131774, 11, 129655, 128336, 128283, 128311, 95082, 128515, 139091, 128643, 128401, 129703, 128980, 53037, 128926, 128273, 128336, 128384, 624, 1001, 35928, 128331, 128556, 128311, 69086, 128301, 128282, 28776, 129078, 129363, 128365, 131768, 135364, 128375, 130641, 137535, 126199, 129591, 130388, 128362, 128373, 79668, 293, 14926, 14854, 125342, 293, 124489, 25798, 131538, 95082, 26, 128362, 305, 4076, 128423, 128432, 126260, 128331, 128977, 72067, 11390, 13, 22965, 13, 132644, 90453, 55973, 663, 58597, 137429, 128818, 11, 128311, 95082, 128556, 131774, 128360, 130623, 128886, 63478, 2600, 128311, 95082, 128515, 139091, 11, 128529, 132300, 98170, 24790, 86139, 595, 20868, 128384, 348, 124536, 130179, 128269, 128324, 29974, 13, 128678, 130660, 128421, 128265, 128556, 131774, 128360, 28776, 128277, 133713, 128333, 47742, 135268, 135584, 11, 129572, 128751, 270, 86728, 305, 50483, 83, 131538, 95082, 131778, 129121, 13, 129024, 79668, 270, 86728, 305, 50483, 83, 131778, 129121, 11, 129591, 130388, 128267, 128282, 128362, 128373, 128622, 128515, 128475, 128529, 348, 352, 138178, 11, 128267, 129108, 348, 125726, 138411, 133787, 326, 125252, 128362, 129203, 128575, 69086, 129121, 129572, 624, 40225, 33450, 129551, 128417, 135268, 135584, 131538, 95082, 69086, 129121, 129572, 128360, 129551, 128417, 132551, 129963, 128556, 131774, 134168, 7777, 125022, 11, 128336, 128283, 126258, 130051, 131538, 95082, 63478, 134634, 129311, 11, 128360, 129572, 128751, 128353, 128284, 129738, 128529, 77374, 2600, 128289, 129367, 129922, 128311, 95082, 25798, 128454, 132278, 624, 39, 4076, 663, 124933, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041 ]
1,042
[ 46788, 125283, 23165, 125531, 128362, 128531, 78228, 130179, 128338, 595, 20868, 128384, 132234, 138757, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 663, 77354, 128249, 65526, 130179, 128338, 595, 20868, 128384, 128272, 131279, 4929, 11, 133761, 130390, 131943, 129591, 130388, 1163, 85375, 142193, 142741, 136732, 128333, 11, 134355, 47742, 129645, 128301, 128787, 135984, 23165, 125531, 47742, 128425, 128334, 129065, 131678, 128994, 2600, 128277, 128362, 128531, 128818, 137125, 78228, 130179, 128338, 595, 20868, 128384, 128272, 127980, 128978, 132234, 138757, 624, 56635, 124477, 220, 17, 20, 14, 20, 11, 133761, 130390, 131943, 129591, 130388, 1163, 85375, 142193, 142741, 79126, 128447, 133171, 128249, 65526, 130179, 128338, 595, 20868, 128384, 128272, 131210, 386, 124510, 132690, 11, 129018, 131279, 4929, 128260, 129645, 128392, 128751, 128871, 521, 4458, 59735, 128534, 13580, 129057, 128463, 910, 4458, 356, 76294, 50327, 85142, 11, 138791, 129368, 128442, 128432, 59735, 653, 27924, 128386, 128379, 128310, 133361, 135196, 11, 127980, 128978, 135149, 11386, 64, 59735, 128534, 13580, 129057, 128463, 17275, 64, 130884, 14854, 51947, 11, 128534, 13580, 129057, 128463, 130469, 293, 22190, 133044, 386, 124510, 132690, 130244, 37915, 128253, 653, 27924, 128386, 128575, 129626, 69086, 128362, 128531, 595, 20868, 128384, 128272, 127980, 128978, 132234, 138757, 59735, 131210, 386, 124510, 132690, 11, 128353, 128284, 61758, 142876, 1187, 78, 128285, 47742, 28776, 128253, 130889, 131072, 128465, 2600, 131538, 95082, 59735, 128704, 128675, 13, 135632, 128345, 11, 128427, 128310, 59735, 128253, 130179, 128338, 96535, 128267, 270, 309, 126258, 129935, 130097, 128744, 128456, 910, 125550, 342, 22516, 11, 128740, 128284, 72067, 64, 128292, 220, 62029, 128781, 79668, 133600, 132668, 128362, 128531, 132234, 128386, 47742, 595, 20868, 128384, 132234, 138757, 129838, 130951, 130726, 63478, 22730, 132026, 128854, 130951, 130726, 126341, 128502, 86139, 128300, 220, 17, 21, 14, 20, 128272, 131210, 386, 124510, 132690, 13, 133761, 130390, 131943, 1163, 85375, 142193, 142741, 136732, 128333, 11, 134355, 47742, 129645, 128301, 128787, 135984, 23165, 125531, 47742, 128425, 128334, 129065, 131678, 128994, 2600, 128277, 128362, 128531, 128818, 137125, 78228, 130179, 128338, 595, 20868, 128384, 128272, 127980, 128978, 132234, 138757, 13, 133761, 130390, 131943, 74542, 128491, 78228, 653, 27924, 128386, 132247, 128284, 129597, 128907, 141673, 128365, 47742, 128994, 128314, 59735, 128704, 128675, 11, 128787, 128365, 128285, 11, 128688, 128425, 79668, 128611, 15122, 128253, 128846, 128362, 128531, 92105, 11, 53037, 139474, 129367, 129922, 126370, 130179, 85636, 128415, 11, 129407, 128550, 131912, 128425, 47742, 128353, 128284, 129738, 1187, 78, 128285, 294, 125058, 294, 125017, 128272, 128704, 128675, 11, 73525, 128270, 131072, 128463, 133600, 132668, 128277, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 59735, 131210, 386, 124510, 132690, 47742, 129018, 131279, 4929, 13, 128984, 130597, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46788, 125283, 23165, 125531, 128362, 128531, 78228, 130179, 128338, 595, 20868, 128384, 132234, 138757, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 663, 77354, 128249, 65526, 130179, 128338, 595, 20868, 128384, 128272, 131279, 4929, 11, 133761, 130390, 131943, 129591, 130388, 1163, 85375, 142193, 142741, 136732, 128333, 11, 134355, 47742, 129645, 128301, 128787, 135984, 23165, 125531, 47742, 128425, 128334, 129065, 131678, 128994, 2600, 128277, 128362, 128531, 128818, 137125, 78228, 130179, 128338, 595, 20868, 128384, 128272, 127980, 128978, 132234, 138757, 624, 56635, 124477, 220, 17, 20, 14, 20, 11, 133761, 130390, 131943, 129591, 130388, 1163, 85375, 142193, 142741, 79126, 128447, 133171, 128249, 65526, 130179, 128338, 595, 20868, 128384, 128272, 131210, 386, 124510, 132690, 11, 129018, 131279, 4929, 128260, 129645, 128392, 128751, 128871, 521, 4458, 59735, 128534, 13580, 129057, 128463, 910, 4458, 356, 76294, 50327, 85142, 11, 138791, 129368, 128442, 128432, 59735, 653, 27924, 128386, 128379, 128310, 133361, 135196, 11, 127980, 128978, 135149, 11386, 64, 59735, 128534, 13580, 129057, 128463, 17275, 64, 130884, 14854, 51947, 11, 128534, 13580, 129057, 128463, 130469, 293, 22190, 133044, 386, 124510, 132690, 130244, 37915, 128253, 653, 27924, 128386, 128575, 129626, 69086, 128362, 128531, 595, 20868, 128384, 128272, 127980, 128978, 132234, 138757, 59735, 131210, 386, 124510, 132690, 11, 128353, 128284, 61758, 142876, 1187, 78, 128285, 47742, 28776, 128253, 130889, 131072, 128465, 2600, 131538, 95082, 59735, 128704, 128675, 13, 135632, 128345, 11, 128427, 128310, 59735, 128253, 130179, 128338, 96535, 128267, 270, 309, 126258, 129935, 130097, 128744, 128456, 910, 125550, 342, 22516, 11, 128740, 128284, 72067, 64, 128292, 220, 62029, 128781, 79668, 133600, 132668, 128362, 128531, 132234, 128386, 47742, 595, 20868, 128384, 132234, 138757, 129838, 130951, 130726, 63478, 22730, 132026, 128854, 130951, 130726, 126341, 128502, 86139, 128300, 220, 17, 21, 14, 20, 128272, 131210, 386, 124510, 132690, 13, 133761, 130390, 131943, 1163, 85375, 142193, 142741, 136732, 128333, 11, 134355, 47742, 129645, 128301, 128787, 135984, 23165, 125531, 47742, 128425, 128334, 129065, 131678, 128994, 2600, 128277, 128362, 128531, 128818, 137125, 78228, 130179, 128338, 595, 20868, 128384, 128272, 127980, 128978, 132234, 138757, 13, 133761, 130390, 131943, 74542, 128491, 78228, 653, 27924, 128386, 132247, 128284, 129597, 128907, 141673, 128365, 47742, 128994, 128314, 59735, 128704, 128675, 11, 128787, 128365, 128285, 11, 128688, 128425, 79668, 128611, 15122, 128253, 128846, 128362, 128531, 92105, 11, 53037, 139474, 129367, 129922, 126370, 130179, 85636, 128415, 11, 129407, 128550, 131912, 128425, 47742, 128353, 128284, 129738, 1187, 78, 128285, 294, 125058, 294, 125017, 128272, 128704, 128675, 11, 73525, 128270, 131072, 128463, 133600, 132668, 128277, 128362, 128531, 595, 20868, 128384, 6558, 3202, 128410, 59735, 131210, 386, 124510, 132690, 47742, 129018, 131279, 4929, 13, 128984, 130597, 624, 151645 ]
[ 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
[ 34, 126424, 133951, 130236, 79, 11, 489, 524, 128904, 129626, 128960, 53037, 129831, 128319, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 3406, 88, 128333, 128273, 63478, 308, 124634, 69086, 141127, 128333, 59735, 129591, 130388, 126370, 128333, 128265, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 26, 61328, 128251, 128501, 47742, 128251, 129643, 26, 129480, 128373, 11, 595, 20868, 653, 27924, 128450, 342, 6023, 129610, 11, 342, 6023, 128338, 2162, 296, 89639, 131245, 11, 130514, 143449, 128727, 63478, 129591, 130388, 8943, 128373, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 34, 50483, 128254, 11, 141127, 128333, 134168, 272, 126424, 78228, 126341, 128502, 11, 58701, 128310, 129626, 128960, 11, 126341, 128502, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 26, 61328, 128251, 128501, 11, 128251, 129643, 128353, 128284, 489, 524, 128904, 128475, 128585, 489, 524, 53037, 129831, 128319, 128250, 129203, 134569, 11, 128811, 85536, 129626, 128960, 47742, 77374, 69611, 1319, 644, 131594, 128884, 11, 129045, 128573, 128683, 128585, 128324, 29974, 13, 130717, 128327, 11, 53037, 63478, 128353, 128284, 128450, 342, 6023, 129610, 79668, 270, 352, 2600, 140139, 128869, 59735, 128251, 129626, 128960, 128475, 270, 352, 2600, 129610, 1091, 71, 128869, 59735, 131245, 129705, 129626, 128960, 624, 33, 27021, 129623, 128270, 11, 141127, 128333, 128268, 53037, 2600, 130224, 126341, 128502, 11, 58701, 128310, 129626, 128960, 11, 126341, 128502, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 26, 61328, 128251, 128501, 11, 128251, 129643, 11, 270, 352, 128726, 128811, 85536, 11, 128622, 128285, 128400, 128960, 128415, 128354, 128250, 128811, 85536, 79126, 63478, 130224, 129626, 128960, 624, 34, 125432, 128260, 11, 53037, 63478, 133503, 129410, 296, 88316, 98896, 128781, 128916, 11, 129675, 128781, 128859, 26, 133503, 129410, 128251, 129626, 128960, 53037, 129315, 128811, 85536, 79126, 63478, 128376, 130224, 9338, 98041, 128603, 128811, 85536, 129784, 128361, 128371, 220, 20, 128300, 624, 45, 92599, 126341, 128502, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 32154, 220, 16, 17, 128626, 131571, 128263, 220, 23, 128626, 128688, 128282, 63478, 128322, 922, 276, 129270, 128356, 128275, 128301, 28776, 133024, 128918, 128269, 128704, 128675, 128837, 126341, 128502, 129626, 128960, 2600, 130224, 624, 1282, 53061, 129414, 59735, 128251, 126341, 128502, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 11, 61328, 128251, 128501, 11, 128251, 129643, 37915, 128282, 92430, 128603, 128411, 128683, 128450, 128265, 128811, 85536, 129784, 128361, 129626, 128960, 128263, 133827, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128837, 126341, 128502, 129626, 128960, 69086, 128327, 129572, 129530, 128281, 220, 20, 128300, 128266, 128289, 128371, 128300, 126341, 128502, 13, 130717, 128327, 11, 128282, 128336, 128283, 129315, 78228, 126370, 128333, 59735, 128513, 129963, 128265, 128918, 128400, 126359, 47742, 128918, 128542, 922, 276, 345, 40225, 87939, 128250, 128251, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 11, 135863, 97832, 61328, 128251, 128501, 11, 128251, 129643, 11, 141127, 128333, 128498, 128451, 98127, 63478, 129626, 128960, 78228, 128601, 133951, 11, 348, 78820, 128960, 79126, 63478, 130224, 132175, 128871, 26, 128361, 128960, 78228, 128366, 274, 125672, 128553, 47742, 128422, 128495, 128327, 489, 524, 279, 78, 129315, 128811, 85536, 131826, 130224, 345, 89473, 129349, 11, 65526, 128375, 128564, 61328, 128251, 128501, 69086, 128301, 624, 785, 78, 141127, 128333, 11, 128564, 61328, 128251, 128501, 28776, 126370, 130179, 128401, 128664, 63478, 129349, 129064, 37915, 61328, 17275, 64, 130990, 13, 134914, 128250, 128564, 61328, 128251, 128501, 128354, 11, 129209, 126500, 86139, 129203, 134569, 11, 128431, 129598, 47742, 128575, 128997, 128564, 61328, 11, 22730, 126341, 128502, 128845, 129064, 2600, 129831, 128319, 624, 53, 39938, 65526, 128375, 11, 128421, 128250, 128564, 61328, 128251, 128501, 28776, 126370, 130179, 128401, 128664, 129058, 128290, 63478, 126341, 128502, 53037, 128459, 220, 17, 128568, 13, 135466, 128421, 128250, 128564, 61328, 128251, 128501, 129838, 11, 129857, 11, 129675, 128254, 489, 2185, 220, 85375, 11, 129058, 128290, 126341, 128502, 53037, 128459, 220, 18, 128568, 13, 141380, 61328, 128251, 128501, 128376, 129018, 11, 129058, 128290, 126341, 128502, 53037, 128459, 220, 16, 128568, 624, 44819, 124510, 61328, 128251, 128501, 128664, 128384, 126341, 128502, 128272, 128324, 29974, 128267, 653, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 129209, 126500, 86139, 128419, 128338, 129705, 128254, 59735, 128981, 128290, 79668, 856, 336, 130985, 11, 128784, 128333, 624, 1282, 69611, 386, 125092, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34, 126424, 133951, 130236, 79, 11, 489, 524, 128904, 129626, 128960, 53037, 129831, 128319, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 3406, 88, 128333, 128273, 63478, 308, 124634, 69086, 141127, 128333, 59735, 129591, 130388, 126370, 128333, 128265, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 26, 61328, 128251, 128501, 47742, 128251, 129643, 26, 129480, 128373, 11, 595, 20868, 653, 27924, 128450, 342, 6023, 129610, 11, 342, 6023, 128338, 2162, 296, 89639, 131245, 11, 130514, 143449, 128727, 63478, 129591, 130388, 8943, 128373, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 34, 50483, 128254, 11, 141127, 128333, 134168, 272, 126424, 78228, 126341, 128502, 11, 58701, 128310, 129626, 128960, 11, 126341, 128502, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 26, 61328, 128251, 128501, 11, 128251, 129643, 128353, 128284, 489, 524, 128904, 128475, 128585, 489, 524, 53037, 129831, 128319, 128250, 129203, 134569, 11, 128811, 85536, 129626, 128960, 47742, 77374, 69611, 1319, 644, 131594, 128884, 11, 129045, 128573, 128683, 128585, 128324, 29974, 13, 130717, 128327, 11, 53037, 63478, 128353, 128284, 128450, 342, 6023, 129610, 79668, 270, 352, 2600, 140139, 128869, 59735, 128251, 129626, 128960, 128475, 270, 352, 2600, 129610, 1091, 71, 128869, 59735, 131245, 129705, 129626, 128960, 624, 33, 27021, 129623, 128270, 11, 141127, 128333, 128268, 53037, 2600, 130224, 126341, 128502, 11, 58701, 128310, 129626, 128960, 11, 126341, 128502, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 26, 61328, 128251, 128501, 11, 128251, 129643, 11, 270, 352, 128726, 128811, 85536, 11, 128622, 128285, 128400, 128960, 128415, 128354, 128250, 128811, 85536, 79126, 63478, 130224, 129626, 128960, 624, 34, 125432, 128260, 11, 53037, 63478, 133503, 129410, 296, 88316, 98896, 128781, 128916, 11, 129675, 128781, 128859, 26, 133503, 129410, 128251, 129626, 128960, 53037, 129315, 128811, 85536, 79126, 63478, 128376, 130224, 9338, 98041, 128603, 128811, 85536, 129784, 128361, 128371, 220, 20, 128300, 624, 45, 92599, 126341, 128502, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 32154, 220, 16, 17, 128626, 131571, 128263, 220, 23, 128626, 128688, 128282, 63478, 128322, 922, 276, 129270, 128356, 128275, 128301, 28776, 133024, 128918, 128269, 128704, 128675, 128837, 126341, 128502, 129626, 128960, 2600, 130224, 624, 1282, 53061, 129414, 59735, 128251, 126341, 128502, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 11, 61328, 128251, 128501, 11, 128251, 129643, 37915, 128282, 92430, 128603, 128411, 128683, 128450, 128265, 128811, 85536, 129784, 128361, 129626, 128960, 128263, 133827, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 128837, 126341, 128502, 129626, 128960, 69086, 128327, 129572, 129530, 128281, 220, 20, 128300, 128266, 128289, 128371, 128300, 126341, 128502, 13, 130717, 128327, 11, 128282, 128336, 128283, 129315, 78228, 126370, 128333, 59735, 128513, 129963, 128265, 128918, 128400, 126359, 47742, 128918, 128542, 922, 276, 345, 40225, 87939, 128250, 128251, 129626, 128960, 128781, 128859, 11, 128361, 128960, 128327, 489, 524, 11, 135863, 97832, 61328, 128251, 128501, 11, 128251, 129643, 11, 141127, 128333, 128498, 128451, 98127, 63478, 129626, 128960, 78228, 128601, 133951, 11, 348, 78820, 128960, 79126, 63478, 130224, 132175, 128871, 26, 128361, 128960, 78228, 128366, 274, 125672, 128553, 47742, 128422, 128495, 128327, 489, 524, 279, 78, 129315, 128811, 85536, 131826, 130224, 345, 89473, 129349, 11, 65526, 128375, 128564, 61328, 128251, 128501, 69086, 128301, 624, 785, 78, 141127, 128333, 11, 128564, 61328, 128251, 128501, 28776, 126370, 130179, 128401, 128664, 63478, 129349, 129064, 37915, 61328, 17275, 64, 130990, 13, 134914, 128250, 128564, 61328, 128251, 128501, 128354, 11, 129209, 126500, 86139, 129203, 134569, 11, 128431, 129598, 47742, 128575, 128997, 128564, 61328, 11, 22730, 126341, 128502, 128845, 129064, 2600, 129831, 128319, 624, 53, 39938, 65526, 128375, 11, 128421, 128250, 128564, 61328, 128251, 128501, 28776, 126370, 130179, 128401, 128664, 129058, 128290, 63478, 126341, 128502, 53037, 128459, 220, 17, 128568, 13, 135466, 128421, 128250, 128564, 61328, 128251, 128501, 129838, 11, 129857, 11, 129675, 128254, 489, 2185, 220, 85375, 11, 129058, 128290, 126341, 128502, 53037, 128459, 220, 18, 128568, 13, 141380, 61328, 128251, 128501, 128376, 129018, 11, 129058, 128290, 126341, 128502, 53037, 128459, 220, 16, 128568, 624, 44819, 124510, 61328, 128251, 128501, 128664, 128384, 126341, 128502, 128272, 128324, 29974, 128267, 653, 129029, 129126, 128585, 11, 141770, 270, 3441, 47742, 15687, 128717, 129209, 126500, 86139, 128419, 128338, 129705, 128254, 59735, 128981, 128290, 79668, 856, 336, 130985, 11, 128784, 128333, 624, 1282, 69611, 386, 125092, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694 ]
695
[ 38, 10298, 128290, 220, 17, 15, 16, 15, 128529, 220, 21, 11, 22, 23, 13744, 20897, 53022, 220, 17, 24, 14, 16, 17, 11, 130390, 131943, 128984, 350, 124644, 142840, 79126, 128427, 132630, 133234, 136856, 128454, 128880, 128526, 220, 16, 17, 14, 17, 15, 16, 15, 59735, 129591, 130388, 11, 131763, 128826, 128309, 128401, 129054, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 128290, 220, 17, 15, 16, 15, 11, 129522, 128406, 62029, 128400, 98127, 128854, 11, 128334, 128373, 521, 2185, 59735, 129591, 130388, 11, 94576, 128270, 129207, 128333, 128253, 129414, 128367, 2600, 128290, 220, 17, 15, 16, 16, 624, 1001, 124491, 129748, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 69086, 128290, 220, 17, 15, 16, 15, 11, 78228, 64061, 97483, 129591, 130388, 128582, 2600, 128640, 11, 69086, 128334, 129065, 595, 20868, 128384, 128314, 128449, 47742, 69086, 128301, 128320, 128271, 128639, 130909, 32154, 139235, 11386, 124428, 47742, 913, 88, 39325, 124900, 11, 133954, 23686, 71, 595, 20868, 128384, 481, 128847, 128410, 128324, 29974, 128487, 28776, 128271, 128406, 128688, 13, 356, 50483, 128254, 11, 29730, 135595, 358, 128529, 220, 20, 11, 23, 19, 13384, 135595, 7946, 220, 21, 11, 19, 19, 13384, 135595, 14429, 220, 22, 11, 16, 23, 4, 47742, 135595, 16824, 220, 124603, 128529, 220, 22, 11, 18, 19, 14360, 350, 125012, 521, 2185, 125440, 128290, 11, 29730, 125440, 128301, 129664, 220, 21, 11, 22, 23, 13384, 2162, 78, 128304, 98127, 128575, 128494, 128410, 128456, 15122, 320, 21, 11, 20, 33871, 69086, 128270, 11, 129202, 125440, 78228, 129857, 11, 132122, 128978, 128582, 129664, 133061, 128368, 128529, 129528, 2162, 78, 128304, 773, 128250, 128290, 128371, 13, 135322, 129626, 128403, 129748, 11, 130390, 131943, 128984, 350, 124644, 142840, 129036, 128761, 129398, 128419, 128338, 128362, 128531, 128750, 128301, 128290, 128727, 73525, 128250, 128253, 131678, 128994, 128340, 78228, 128639, 130909, 11, 270, 53061, 128482, 13, 130232, 128270, 11, 130390, 131943, 128498, 128451, 129591, 130388, 134168, 89218, 66, 129522, 128406, 78228, 98127, 128575, 128320, 128651, 129664, 11, 128260, 129991, 128331, 11, 128423, 128432, 128249, 65526, 132122, 128978, 11, 128309, 125440, 11, 326, 125252, 128362, 142741, 128396, 37915, 129414, 128367, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 19953, 125913, 128751, 326, 125252, 128362, 11, 69086, 128270, 128906, 128738, 129407, 128431, 78228, 128311, 95082, 128515, 139091, 11, 128311, 95082, 128556, 128311, 11, 128251, 130719, 128278, 129591, 130388, 308, 124634, 129398, 13, 386, 13, 40225, 124483, 481, 910, 20868, 759, 84, 75157, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 38, 10298, 128290, 220, 17, 15, 16, 15, 128529, 220, 21, 11, 22, 23, 13744, 20897, 53022, 220, 17, 24, 14, 16, 17, 11, 130390, 131943, 128984, 350, 124644, 142840, 79126, 128427, 132630, 133234, 136856, 128454, 128880, 128526, 220, 16, 17, 14, 17, 15, 16, 15, 59735, 129591, 130388, 11, 131763, 128826, 128309, 128401, 129054, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 128290, 220, 17, 15, 16, 15, 11, 129522, 128406, 62029, 128400, 98127, 128854, 11, 128334, 128373, 521, 2185, 59735, 129591, 130388, 11, 94576, 128270, 129207, 128333, 128253, 129414, 128367, 2600, 128290, 220, 17, 15, 16, 16, 624, 1001, 124491, 129748, 128419, 128338, 595, 20868, 128384, 481, 128847, 128410, 69086, 128290, 220, 17, 15, 16, 15, 11, 78228, 64061, 97483, 129591, 130388, 128582, 2600, 128640, 11, 69086, 128334, 129065, 595, 20868, 128384, 128314, 128449, 47742, 69086, 128301, 128320, 128271, 128639, 130909, 32154, 139235, 11386, 124428, 47742, 913, 88, 39325, 124900, 11, 133954, 23686, 71, 595, 20868, 128384, 481, 128847, 128410, 128324, 29974, 128487, 28776, 128271, 128406, 128688, 13, 356, 50483, 128254, 11, 29730, 135595, 358, 128529, 220, 20, 11, 23, 19, 13384, 135595, 7946, 220, 21, 11, 19, 19, 13384, 135595, 14429, 220, 22, 11, 16, 23, 4, 47742, 135595, 16824, 220, 124603, 128529, 220, 22, 11, 18, 19, 14360, 350, 125012, 521, 2185, 125440, 128290, 11, 29730, 125440, 128301, 129664, 220, 21, 11, 22, 23, 13384, 2162, 78, 128304, 98127, 128575, 128494, 128410, 128456, 15122, 320, 21, 11, 20, 33871, 69086, 128270, 11, 129202, 125440, 78228, 129857, 11, 132122, 128978, 128582, 129664, 133061, 128368, 128529, 129528, 2162, 78, 128304, 773, 128250, 128290, 128371, 13, 135322, 129626, 128403, 129748, 11, 130390, 131943, 128984, 350, 124644, 142840, 129036, 128761, 129398, 128419, 128338, 128362, 128531, 128750, 128301, 128290, 128727, 73525, 128250, 128253, 131678, 128994, 128340, 78228, 128639, 130909, 11, 270, 53061, 128482, 13, 130232, 128270, 11, 130390, 131943, 128498, 128451, 129591, 130388, 134168, 89218, 66, 129522, 128406, 78228, 98127, 128575, 128320, 128651, 129664, 11, 128260, 129991, 128331, 11, 128423, 128432, 128249, 65526, 132122, 128978, 11, 128309, 125440, 11, 326, 125252, 128362, 142741, 128396, 37915, 129414, 128367, 133713, 128333, 595, 20868, 128384, 348, 124536, 130179, 11, 19953, 125913, 128751, 326, 125252, 128362, 11, 69086, 128270, 128906, 128738, 129407, 128431, 78228, 128311, 95082, 128515, 139091, 11, 128311, 95082, 128556, 128311, 11, 128251, 130719, 128278, 129591, 130388, 308, 124634, 129398, 13, 386, 13, 40225, 124483, 481, 910, 20868, 759, 84, 75157, 624, 151645 ]
[ 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
[ 40225, 39938, 130097, 130085, 131443, 128301, 134634, 129311, 140923, 128333, 348, 352, 2600, 133784, 128595, 128441, 11, 129455, 22664, 92546, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 128727, 28776, 128683, 128450, 128456, 130097, 130085, 131443, 128301, 134634, 129311, 140923, 128333, 2600, 348, 352, 133784, 128595, 330, 45, 8835, 968, 2162, 78, 128365, 128599, 128441, 11, 129455, 22664, 92546, 127980, 128978, 132037, 129838, 386, 5498, 128534, 129367, 129922, 320, 38, 4826, 8, 481, 356, 124554, 128463, 128324, 29974, 497, 348, 352, 130498, 138737, 61758, 135322, 128531, 133539, 42812, 320, 94373, 4292, 40225, 57810, 130390, 131943, 129591, 130388, 137930, 128918, 11, 128300, 220, 16, 22, 14, 16, 14, 17, 15, 16, 18, 128272, 128521, 128685, 11, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128324, 29974, 79126, 129212, 128250, 128479, 129054, 138737, 61758, 135322, 128531, 133539, 42812, 320, 94373, 8, 140923, 128333, 348, 352, 2600, 126258, 128595, 330, 45, 8835, 968, 2162, 78, 128365, 128599, 128441, 11, 129455, 22664, 92546, 127980, 128978, 132037, 129838, 386, 5498, 128534, 129367, 129922, 320, 38, 4826, 8, 481, 356, 124554, 128463, 128324, 29974, 22956, 785, 78, 128270, 11, 362, 3506, 6592, 128403, 128556, 128886, 2600, 128324, 29974, 128249, 130042, 129913, 128284, 130483, 79126, 72, 128466, 128309, 220, 16, 20, 129077, 19551, 128250, 128327, 129572, 348, 352, 37915, 220, 18, 17, 128290, 69086, 128270, 28776, 220, 23, 128290, 27905, 77, 129572, 11, 140694, 131531, 220, 16, 53381, 77, 77354, 69086, 128327, 342, 1103, 27905, 77, 129572, 47742, 220, 16, 11, 20, 53381, 77, 77354, 69086, 128327, 342, 1103, 129477, 138178, 128424, 279, 78, 13, 132809, 342, 1103, 128336, 128283, 126258, 128595, 126258, 128935, 94576, 128290, 220, 17, 15, 16, 18, 12, 17, 15, 16, 22, 13, 133784, 128595, 653, 129029, 809, 128384, 37915, 128322, 922, 276, 128427, 129270, 624, 42, 6161, 40707, 348, 352, 96535, 128553, 489, 2185, 128556, 128886, 2600, 220, 19, 128319, 128463, 128311, 293, 3441, 130068, 25, 220, 16, 12, 451, 8835, 968, 2162, 78, 128365, 128599, 128980, 128495, 130361, 47742, 129270, 128356, 128269, 128376, 489, 2185, 220, 85375, 11, 129018, 11, 131210, 26, 220, 17, 12, 451, 8835, 968, 2162, 78, 128365, 128599, 69086, 272, 2185, 128376, 128507, 128367, 128380, 128375, 11, 128672, 130509, 2600, 128253, 128251, 28776, 7777, 4076, 128322, 326, 124317, 133637, 22664, 26, 220, 18, 12, 350, 58597, 132300, 128424, 136855, 128507, 128367, 128441, 129455, 22664, 2600, 128253, 131270, 128421, 129014, 128269, 78228, 130700, 128329, 11, 127980, 128978, 135547, 128449, 26, 19, 12, 472, 220, 84300, 79, 128400, 127980, 128978, 128423, 128432, 11, 135268, 135584, 131763, 128529, 132300, 78228, 130179, 128338, 128441, 129455, 22664, 128272, 220, 16, 20, 129018, 293, 3441, 130068, 25, 444, 2143, 132690, 11, 128521, 15392, 524, 11, 444, 125017, 356, 2143, 11, 135601, 12100, 27021, 11, 131279, 4929, 11, 128521, 350, 125959, 11, 663, 27924, 140304, 11, 133314, 129336, 11, 133314, 1163, 35928, 11, 133314, 29974, 11, 479, 685, 444, 2143, 11, 23388, 350, 372, 11, 50327, 124431, 451, 24015, 11, 129336, 2350, 124603, 47742, 5724, 1527, 624, 35, 61031, 128595, 94994, 128643, 64061, 128267, 131072, 128463, 133776, 139810, 128277, 326, 124317, 30691, 59735, 128479, 128507, 22664, 69086, 128401, 128254, 130700, 128329, 128394, 129447, 13, 133784, 128595, 128267, 28776, 128400, 128285, 128761, 129541, 69086, 128289, 128529, 132300, 129363, 128365, 128424, 136855, 92430, 24790, 47742, 128353, 128284, 128507, 128367, 128441, 129455, 78228, 128453, 128542, 922, 276, 128263, 128738, 129700, 97832, 85636, 11, 128453, 326, 124317, 129045, 73525, 128448, 128419, 129677, 11, 293, 3441, 130068, 22664, 92546, 11, 69086, 131270, 7777, 4076, 128322, 47742, 69086, 130700, 128329, 13, 135359, 128589, 11, 126258, 128595, 131072, 128463, 128529, 132300, 128277, 128823, 136338, 128265, 128449, 11, 130314, 2162, 78, 39486, 129659, 59735, 128251, 128877, 128872, 69086, 131619, 131998, 128738, 129700, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 39938, 130097, 130085, 131443, 128301, 134634, 129311, 140923, 128333, 348, 352, 2600, 133784, 128595, 128441, 11, 129455, 22664, 92546, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 128727, 28776, 128683, 128450, 128456, 130097, 130085, 131443, 128301, 134634, 129311, 140923, 128333, 2600, 348, 352, 133784, 128595, 330, 45, 8835, 968, 2162, 78, 128365, 128599, 128441, 11, 129455, 22664, 92546, 127980, 128978, 132037, 129838, 386, 5498, 128534, 129367, 129922, 320, 38, 4826, 8, 481, 356, 124554, 128463, 128324, 29974, 497, 348, 352, 130498, 138737, 61758, 135322, 128531, 133539, 42812, 320, 94373, 4292, 40225, 57810, 130390, 131943, 129591, 130388, 137930, 128918, 11, 128300, 220, 16, 22, 14, 16, 14, 17, 15, 16, 18, 128272, 128521, 128685, 11, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128324, 29974, 79126, 129212, 128250, 128479, 129054, 138737, 61758, 135322, 128531, 133539, 42812, 320, 94373, 8, 140923, 128333, 348, 352, 2600, 126258, 128595, 330, 45, 8835, 968, 2162, 78, 128365, 128599, 128441, 11, 129455, 22664, 92546, 127980, 128978, 132037, 129838, 386, 5498, 128534, 129367, 129922, 320, 38, 4826, 8, 481, 356, 124554, 128463, 128324, 29974, 22956, 785, 78, 128270, 11, 362, 3506, 6592, 128403, 128556, 128886, 2600, 128324, 29974, 128249, 130042, 129913, 128284, 130483, 79126, 72, 128466, 128309, 220, 16, 20, 129077, 19551, 128250, 128327, 129572, 348, 352, 37915, 220, 18, 17, 128290, 69086, 128270, 28776, 220, 23, 128290, 27905, 77, 129572, 11, 140694, 131531, 220, 16, 53381, 77, 77354, 69086, 128327, 342, 1103, 27905, 77, 129572, 47742, 220, 16, 11, 20, 53381, 77, 77354, 69086, 128327, 342, 1103, 129477, 138178, 128424, 279, 78, 13, 132809, 342, 1103, 128336, 128283, 126258, 128595, 126258, 128935, 94576, 128290, 220, 17, 15, 16, 18, 12, 17, 15, 16, 22, 13, 133784, 128595, 653, 129029, 809, 128384, 37915, 128322, 922, 276, 128427, 129270, 624, 42, 6161, 40707, 348, 352, 96535, 128553, 489, 2185, 128556, 128886, 2600, 220, 19, 128319, 128463, 128311, 293, 3441, 130068, 25, 220, 16, 12, 451, 8835, 968, 2162, 78, 128365, 128599, 128980, 128495, 130361, 47742, 129270, 128356, 128269, 128376, 489, 2185, 220, 85375, 11, 129018, 11, 131210, 26, 220, 17, 12, 451, 8835, 968, 2162, 78, 128365, 128599, 69086, 272, 2185, 128376, 128507, 128367, 128380, 128375, 11, 128672, 130509, 2600, 128253, 128251, 28776, 7777, 4076, 128322, 326, 124317, 133637, 22664, 26, 220, 18, 12, 350, 58597, 132300, 128424, 136855, 128507, 128367, 128441, 129455, 22664, 2600, 128253, 131270, 128421, 129014, 128269, 78228, 130700, 128329, 11, 127980, 128978, 135547, 128449, 26, 19, 12, 472, 220, 84300, 79, 128400, 127980, 128978, 128423, 128432, 11, 135268, 135584, 131763, 128529, 132300, 78228, 130179, 128338, 128441, 129455, 22664, 128272, 220, 16, 20, 129018, 293, 3441, 130068, 25, 444, 2143, 132690, 11, 128521, 15392, 524, 11, 444, 125017, 356, 2143, 11, 135601, 12100, 27021, 11, 131279, 4929, 11, 128521, 350, 125959, 11, 663, 27924, 140304, 11, 133314, 129336, 11, 133314, 1163, 35928, 11, 133314, 29974, 11, 479, 685, 444, 2143, 11, 23388, 350, 372, 11, 50327, 124431, 451, 24015, 11, 129336, 2350, 124603, 47742, 5724, 1527, 624, 35, 61031, 128595, 94994, 128643, 64061, 128267, 131072, 128463, 133776, 139810, 128277, 326, 124317, 30691, 59735, 128479, 128507, 22664, 69086, 128401, 128254, 130700, 128329, 128394, 129447, 13, 133784, 128595, 128267, 28776, 128400, 128285, 128761, 129541, 69086, 128289, 128529, 132300, 129363, 128365, 128424, 136855, 92430, 24790, 47742, 128353, 128284, 128507, 128367, 128441, 129455, 78228, 128453, 128542, 922, 276, 128263, 128738, 129700, 97832, 85636, 11, 128453, 326, 124317, 129045, 73525, 128448, 128419, 129677, 11, 293, 3441, 130068, 22664, 92546, 11, 69086, 131270, 7777, 4076, 128322, 47742, 69086, 130700, 128329, 13, 135359, 128589, 11, 126258, 128595, 131072, 128463, 128529, 132300, 128277, 128823, 136338, 128265, 128449, 11, 130314, 2162, 78, 39486, 129659, 59735, 128251, 128877, 128872, 69086, 131619, 131998, 128738, 129700, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618 ]
619
[ 34, 92704, 129591, 95082, 129477, 128814, 128265, 128751, 128368, 128886, 128376, 220, 16, 128568, 653, 131840, 305, 125672, 128371, 129572, 128790, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 84137, 128846, 128653, 59735, 356, 92704, 129591, 95082, 320, 33, 37678, 128494, 128441, 8, 53037, 128282, 128331, 128319, 128352, 131840, 305, 125672, 128371, 129572, 128790, 2162, 78, 128281, 279, 78, 128376, 138270, 129866, 130734, 76, 128268, 63478, 129589, 128751, 128368, 128886, 128376, 128249, 128568, 279, 78, 126370, 128333, 128272, 141127, 128333, 65526, 220, 17, 16, 14, 17, 15, 15, 24, 20290, 40225, 12, 7123, 128300, 220, 17, 18, 14, 17, 14, 17, 15, 15, 24, 59735, 129591, 130388, 624, 131371, 968, 128521, 129126, 140923, 320, 83, 127845, 142193, 2350, 124411, 8, 97832, 128300, 220, 17, 16, 14, 18, 14, 16, 24, 21, 18, 11, 62572, 135518, 128526, 220, 17, 14, 16, 24, 23, 17, 128272, 356, 92704, 128529, 133086, 13535, 125478, 220, 130017, 138831, 730, 125093, 128859, 13, 130232, 128526, 220, 16, 14, 16, 24, 23, 20, 128263, 128526, 220, 23, 14, 16, 24, 23, 22, 37915, 128292, 97483, 128331, 1163, 2185, 128292, 730, 125093, 128859, 220, 130017, 138831, 730, 125093, 128859, 624, 51, 124185, 128526, 220, 24, 14, 16, 24, 23, 22, 128263, 128526, 220, 16, 17, 14, 17, 15, 16, 16, 128436, 140923, 62029, 128400, 128542, 128884, 128272, 730, 6161, 77461, 220, 23, 23, 22, 11, 356, 92704, 730, 125093, 128859, 425, 20868, 521, 128042, 11, 130017, 138831, 730, 125093, 128859, 13, 131160, 220, 16, 15, 14, 16, 17, 14, 17, 15, 16, 16, 128436, 140923, 128370, 3406, 88, 51580, 128333, 131840, 305, 125672, 65526, 220, 24, 16, 20, 23, 14, 17, 18, 45274, 40225, 99085, 59735, 132847, 131491, 128847, 128410, 137833, 129188, 220, 129029, 128494, 128441, 624, 2183, 64, 356, 60257, 968, 32744, 136256, 129591, 130388, 11, 128436, 140923, 128456, 130097, 128322, 922, 276, 128502, 128365, 2600, 128345, 128436, 28776, 63478, 129589, 128751, 128368, 128886, 128376, 220, 16, 128568, 653, 131840, 305, 125672, 128371, 129572, 128790, 279, 78, 141127, 128333, 65526, 220, 17, 16, 14, 17, 15, 15, 24, 20290, 40225, 12, 7123, 128300, 220, 17, 18, 14, 17, 14, 17, 15, 15, 24, 59735, 129591, 130388, 53037, 5267, 53, 39938, 128580, 128456, 128273, 11, 356, 92704, 129591, 95082, 129477, 128814, 128260, 32154, 510, 785, 78, 126370, 128333, 128272, 78228, 128683, 128450, 128283, 128373, 11, 128916, 922, 276, 11, 129866, 128310, 128744, 128386, 63478, 129589, 128751, 128368, 128886, 128376, 128249, 128568, 653, 131840, 305, 125672, 128371, 129572, 128790, 2162, 78, 128281, 279, 78, 128376, 138270, 129866, 130734, 76, 129281, 128249, 69086, 46051, 128334, 129065, 32154, 128358, 510, 12, 422, 124312, 136525, 653, 270, 352, 128726, 126341, 128502, 11, 135547, 128751, 129281, 78228, 128322, 922, 276, 11, 128666, 128444, 28776, 128784, 128333, 128486, 128254, 11, 274, 125478, 62572, 11, 137335, 138345, 11, 131140, 128376, 128368, 126341, 128502, 11, 128830, 128726, 130179, 128338, 128623, 128285, 59735, 128376, 28776, 133024, 128918, 128653, 128263, 128757, 65526, 128375, 128475, 128502, 98896, 128916, 922, 276, 11, 129866, 128310, 128744, 128386, 624, 12, 472, 51580, 129572, 128790, 2162, 78, 128281, 129566, 128502, 128367, 98127, 305, 4076, 11, 129270, 128356, 128666, 128444, 126370, 128333, 128272, 130042, 220, 18, 130406, 220, 16, 18, 136786, 328, 124536, 922, 276, 137833, 129188, 128310, 128394, 128324, 29974, 126199, 129866, 129188, 53037, 128320, 141580, 128451, 128888, 128597, 11, 128353, 128284, 624, 79759, 18934, 128490, 11, 53037, 128282, 128331, 128319, 128352, 131840, 305, 125672, 128371, 129572, 128790, 2162, 78, 128281, 279, 78, 128376, 138270, 129866, 130734, 76, 128268, 63478, 129589, 128751, 128368, 128886, 128376, 128249, 128568, 279, 78, 126370, 128333, 128272, 141127, 128333, 65526, 220, 17, 16, 14, 17, 15, 15, 24, 20290, 40225, 12, 7123, 624, 1282, 77869, 128319, 128436, 128521, 129126, 140923, 128725, 131840, 305, 125672, 653, 730, 6161, 77461, 220, 23, 23, 22, 11, 356, 92704, 730, 125093, 128859, 425, 20868, 521, 128042, 11, 130017, 138831, 730, 125093, 128859, 28776, 128784, 128333, 270, 352, 128726, 126341, 128502, 11, 135547, 128751, 59735, 128376, 28776, 133024, 128918, 128291, 63478, 856, 336, 130985, 11, 130985, 129589, 128751, 128368, 128886, 128376, 128249, 128568, 653, 131840, 305, 125672, 489, 94963, 129572, 128790, 279, 78, 126370, 128333, 128272, 141127, 128333, 65526, 220, 17, 16, 14, 17, 15, 15, 24, 20290, 40225, 12, 7123, 624, 34, 60257, 968, 32744, 136256, 129591, 130388, 489, 39392, 128550, 128467, 133170, 356, 92704, 129591, 95082, 79126, 28776, 92430, 24790, 129477, 128814, 62029, 128394, 73525, 356, 60257, 968, 32744, 136256, 129591, 130388, 624, 3357, 63775, 130303, 24790, 131084, 18698, 16719, 59735, 126341, 128502, 11, 62029, 128394, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34, 92704, 129591, 95082, 129477, 128814, 128265, 128751, 128368, 128886, 128376, 220, 16, 128568, 653, 131840, 305, 125672, 128371, 129572, 128790, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 84137, 128846, 128653, 59735, 356, 92704, 129591, 95082, 320, 33, 37678, 128494, 128441, 8, 53037, 128282, 128331, 128319, 128352, 131840, 305, 125672, 128371, 129572, 128790, 2162, 78, 128281, 279, 78, 128376, 138270, 129866, 130734, 76, 128268, 63478, 129589, 128751, 128368, 128886, 128376, 128249, 128568, 279, 78, 126370, 128333, 128272, 141127, 128333, 65526, 220, 17, 16, 14, 17, 15, 15, 24, 20290, 40225, 12, 7123, 128300, 220, 17, 18, 14, 17, 14, 17, 15, 15, 24, 59735, 129591, 130388, 624, 131371, 968, 128521, 129126, 140923, 320, 83, 127845, 142193, 2350, 124411, 8, 97832, 128300, 220, 17, 16, 14, 18, 14, 16, 24, 21, 18, 11, 62572, 135518, 128526, 220, 17, 14, 16, 24, 23, 17, 128272, 356, 92704, 128529, 133086, 13535, 125478, 220, 130017, 138831, 730, 125093, 128859, 13, 130232, 128526, 220, 16, 14, 16, 24, 23, 20, 128263, 128526, 220, 23, 14, 16, 24, 23, 22, 37915, 128292, 97483, 128331, 1163, 2185, 128292, 730, 125093, 128859, 220, 130017, 138831, 730, 125093, 128859, 624, 51, 124185, 128526, 220, 24, 14, 16, 24, 23, 22, 128263, 128526, 220, 16, 17, 14, 17, 15, 16, 16, 128436, 140923, 62029, 128400, 128542, 128884, 128272, 730, 6161, 77461, 220, 23, 23, 22, 11, 356, 92704, 730, 125093, 128859, 425, 20868, 521, 128042, 11, 130017, 138831, 730, 125093, 128859, 13, 131160, 220, 16, 15, 14, 16, 17, 14, 17, 15, 16, 16, 128436, 140923, 128370, 3406, 88, 51580, 128333, 131840, 305, 125672, 65526, 220, 24, 16, 20, 23, 14, 17, 18, 45274, 40225, 99085, 59735, 132847, 131491, 128847, 128410, 137833, 129188, 220, 129029, 128494, 128441, 624, 2183, 64, 356, 60257, 968, 32744, 136256, 129591, 130388, 11, 128436, 140923, 128456, 130097, 128322, 922, 276, 128502, 128365, 2600, 128345, 128436, 28776, 63478, 129589, 128751, 128368, 128886, 128376, 220, 16, 128568, 653, 131840, 305, 125672, 128371, 129572, 128790, 279, 78, 141127, 128333, 65526, 220, 17, 16, 14, 17, 15, 15, 24, 20290, 40225, 12, 7123, 128300, 220, 17, 18, 14, 17, 14, 17, 15, 15, 24, 59735, 129591, 130388, 53037, 5267, 53, 39938, 128580, 128456, 128273, 11, 356, 92704, 129591, 95082, 129477, 128814, 128260, 32154, 510, 785, 78, 126370, 128333, 128272, 78228, 128683, 128450, 128283, 128373, 11, 128916, 922, 276, 11, 129866, 128310, 128744, 128386, 63478, 129589, 128751, 128368, 128886, 128376, 128249, 128568, 653, 131840, 305, 125672, 128371, 129572, 128790, 2162, 78, 128281, 279, 78, 128376, 138270, 129866, 130734, 76, 129281, 128249, 69086, 46051, 128334, 129065, 32154, 128358, 510, 12, 422, 124312, 136525, 653, 270, 352, 128726, 126341, 128502, 11, 135547, 128751, 129281, 78228, 128322, 922, 276, 11, 128666, 128444, 28776, 128784, 128333, 128486, 128254, 11, 274, 125478, 62572, 11, 137335, 138345, 11, 131140, 128376, 128368, 126341, 128502, 11, 128830, 128726, 130179, 128338, 128623, 128285, 59735, 128376, 28776, 133024, 128918, 128653, 128263, 128757, 65526, 128375, 128475, 128502, 98896, 128916, 922, 276, 11, 129866, 128310, 128744, 128386, 624, 12, 472, 51580, 129572, 128790, 2162, 78, 128281, 129566, 128502, 128367, 98127, 305, 4076, 11, 129270, 128356, 128666, 128444, 126370, 128333, 128272, 130042, 220, 18, 130406, 220, 16, 18, 136786, 328, 124536, 922, 276, 137833, 129188, 128310, 128394, 128324, 29974, 126199, 129866, 129188, 53037, 128320, 141580, 128451, 128888, 128597, 11, 128353, 128284, 624, 79759, 18934, 128490, 11, 53037, 128282, 128331, 128319, 128352, 131840, 305, 125672, 128371, 129572, 128790, 2162, 78, 128281, 279, 78, 128376, 138270, 129866, 130734, 76, 128268, 63478, 129589, 128751, 128368, 128886, 128376, 128249, 128568, 279, 78, 126370, 128333, 128272, 141127, 128333, 65526, 220, 17, 16, 14, 17, 15, 15, 24, 20290, 40225, 12, 7123, 624, 1282, 77869, 128319, 128436, 128521, 129126, 140923, 128725, 131840, 305, 125672, 653, 730, 6161, 77461, 220, 23, 23, 22, 11, 356, 92704, 730, 125093, 128859, 425, 20868, 521, 128042, 11, 130017, 138831, 730, 125093, 128859, 28776, 128784, 128333, 270, 352, 128726, 126341, 128502, 11, 135547, 128751, 59735, 128376, 28776, 133024, 128918, 128291, 63478, 856, 336, 130985, 11, 130985, 129589, 128751, 128368, 128886, 128376, 128249, 128568, 653, 131840, 305, 125672, 489, 94963, 129572, 128790, 279, 78, 126370, 128333, 128272, 141127, 128333, 65526, 220, 17, 16, 14, 17, 15, 15, 24, 20290, 40225, 12, 7123, 624, 34, 60257, 968, 32744, 136256, 129591, 130388, 489, 39392, 128550, 128467, 133170, 356, 92704, 129591, 95082, 79126, 28776, 92430, 24790, 129477, 128814, 62029, 128394, 73525, 356, 60257, 968, 32744, 136256, 129591, 130388, 624, 3357, 63775, 130303, 24790, 131084, 18698, 16719, 59735, 126341, 128502, 11, 62029, 128394, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747 ]
748
[ 35, 125196, 128738, 129455, 330, 8212, 124631, 52570, 129572, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 16619, 352, 32154, 94994, 128427, 132630, 129935, 130097, 129822, 128403, 62029, 128400, 128943, 128855, 129705, 76, 130980, 128394, 129447, 132629, 326, 124310, 128272, 50327, 7347, 3140, 11, 130390, 131943, 129591, 130388, 128984, 350, 124644, 142840, 128570, 15122, 29974, 1163, 2185, 129029, 129372, 128424, 129522, 9586, 128419, 128338, 132190, 129572, 128272, 128249, 65526, 128704, 128675, 26, 128266, 128289, 128250, 129018, 451, 20868, 35892, 72115, 11, 141425, 134315, 128265, 78228, 128486, 128513, 129455, 129572, 624, 51, 36745, 489, 2185, 98127, 128854, 128441, 129455, 131265, 52537, 128981, 129838, 1112, 137408, 489, 2185, 128441, 11, 129455, 129572, 472, 4076, 128285, 129822, 128599, 129455, 129572, 128272, 451, 20868, 35892, 72115, 132850, 11, 129455, 129572, 11, 129551, 128417, 128376, 128301, 85636, 128415, 132234, 9338, 3357, 1794, 130390, 131943, 130597, 1163, 2185, 131039, 126260, 129261, 128419, 128338, 129572, 305, 11390, 128272, 451, 20868, 35892, 72115, 13, 220, 126884, 16719, 25, 647, 24430, 20290, 70, 124527, 8564, 71, 624, 13048, 51054, 308, 352, 11, 129591, 130388, 11, 128311, 128918, 128704, 128675, 47742, 128251, 128394, 451, 20868, 35892, 72115, 11, 141425, 134315, 1112, 320, 74, 16739, 128978, 132190, 129572, 128281, 128301, 8, 128348, 128282, 294, 125196, 128738, 129455, 521, 125529, 128250, 132864, 129572, 305, 11390, 23165, 124504, 137513, 128281, 69086, 130604, 220, 16, 15, 128290, 73525, 624, 20897, 352, 94576, 128278, 128290, 308, 352, 11, 128419, 128338, 132190, 129572, 128269, 451, 20868, 35892, 72115, 79126, 128906, 128738, 139529, 133863, 11, 220, 17, 15, 129122, 133456, 128301, 12, 129738, 128480, 59735, 129302, 390, 451, 20868, 35892, 72115, 128279, 272, 49886, 11, 128750, 132234, 128386, 135571, 128282, 129017, 11386, 524, 11, 132234, 128394, 129276, 134724, 97832, 128495, 11, 129169, 128480, 131638, 130540, 77, 624, 5404, 272, 49886, 19953, 124382, 129738, 128301, 2600, 97832, 128623, 47742, 85636, 128415, 11, 128271, 37915, 968, 11, 128847, 128269, 451, 20868, 35892, 72115, 11, 141425, 134315, 11, 130751, 138902, 128626, 98127, 128320, 128251, 71452, 47742, 128634, 390, 13, 130717, 11122, 124761, 132190, 137297, 11, 308, 133592, 308, 124516, 13, 137327, 142876, 6386, 11386, 64, 128865, 11, 11122, 124761, 326, 89639, 128279, 129017, 11386, 524, 13, 50327, 88602, 94995, 274, 124411, 922, 352, 922, 124651, 128378, 130502, 128482, 128442, 11, 128301, 130069, 1112, 356, 18934, 128394, 128704, 128675, 135571, 128282, 48488, 133899, 1112, 128266, 130917, 320, 8212, 125055, 128704, 128675, 128266, 131500, 128362, 129610, 7777, 383, 130469, 128266, 130917, 8, 130158, 128480, 73525, 128300, 11, 133459, 130868, 136008, 136733, 624, 785, 78, 126258, 128603, 11, 128290, 308, 352, 37915, 128290, 132190, 129572, 140868, 128406, 69086, 220, 16, 15, 128290, 128570, 85852, 128358, 128269, 451, 20868, 35892, 72115, 13, 16619, 352, 94576, 128278, 128526, 220, 16, 14, 17, 15, 16, 20, 11, 129822, 85536, 128761, 78228, 129122, 133456, 128301, 128269, 451, 20868, 35892, 72115, 98127, 128320, 220, 19, 15, 129077, 296, 18, 11, 129664, 220, 17, 15, 4, 85536, 128761, 128422, 128495, 624, 1282, 644, 128450, 24790, 92105, 128281, 128265, 128419, 128338, 129572, 305, 11390, 128272, 29974, 1163, 2185, 129029, 11, 1163, 2185, 128396, 133784, 128603, 20165, 2426, 129014, 663, 125992, 128683, 35555, 2600, 128345, 11, 128249, 65526, 78228, 134782, 913, 87939, 128821, 128269, 451, 20868, 35892, 72115, 79126, 132190, 19953, 124382, 11, 53037, 128320, 128301, 13, 138458, 128338, 132190, 129572, 11, 130502, 128301, 128487, 128424, 128884, 131871, 15122, 128269, 78228, 129018, 141425, 134315, 11, 451, 20868, 35892, 72115, 11, 129336, 35892, 72115, 624, 51, 125012, 128263, 128300, 220, 16, 15, 14, 19, 11, 85536, 128761, 141207, 59735, 136402, 128906, 78228, 129122, 133456, 132601, 128994, 128269, 451, 20868, 35892, 72115, 98127, 129664, 129227, 220, 17, 15, 4, 85536, 128761, 128422, 128495, 11, 78228, 129122, 128269, 141425, 134315, 11, 129336, 35892, 72115, 129664, 489, 2185, 128823, 129168, 220, 18, 15, 12, 19, 15, 4, 85536, 128761, 128422, 128495, 624, 43, 77869, 128371, 128253, 128639, 130909, 653, 128871, 128726, 129019, 130990, 11, 129572, 305, 11390, 129054, 129922, 128882, 15122, 11, 7777, 352, 94576, 128278, 128290, 220, 17, 15, 16, 20, 11, 444, 3202, 16719, 128854, 129591, 130388, 47742, 78228, 129029, 11, 129857, 11, 128704, 128675, 79126, 28776, 128253, 98127, 128854, 47742, 128486, 128513, 129705, 128254, 79668, 128740, 142267, 128250, 13535, 124631, 129572, 624, 51, 37059, 128704, 128675, 11, 131400, 128854, 129018, 451, 20868, 35892, 72115, 2600, 128345, 11, 78228, 137261, 128513, 128861, 135159, 128301, 79126, 63478, 128439, 130051, 47742, 48669, 78, 24185, 51580, 128336, 128283, 5492, 128373, 128250, 128289, 129263, 128373, 342, 645, 78, 135149, 11, 259, 125628, 128575, 28776, 128704, 98127, 7777, 352, 94576, 128278, 128290, 13, 133802, 129623, 128270, 11, 128289, 128830, 128726, 129368, 135149, 11, 128853, 132645, 279, 78, 128846, 128861, 135159, 128301, 130498, 63478, 128336, 128283, 69086, 128253, 128290, 73525, 11, 308, 352, 85852, 128424, 128884, 63478, 128336, 128283, 2406, 124382, 79668, 624, 51, 4076, 128452, 129572, 305, 11390, 131778, 129121, 11, 129655, 141673, 128599, 28776, 129572, 11, 129018, 128282, 129263, 128373, 129481, 128886, 129156, 14854, 125444, 11, 128376, 128301, 97832, 128623, 11, 130623, 39339, 595, 20868, 128812, 131912, 14845, 11, 129122, 272, 2185, 128376, 128301, 129986, 129121, 128421, 128250, 61758, 137634, 128704, 129030, 11, 61758, 139063, 126469, 128394, 69086, 129018, 11, 128329, 128327, 128456, 130097, 1163, 2185, 220, 85375, 128740, 129156, 4894, 51, 124185, 129854, 128322, 922, 276, 35555, 11, 128608, 129623, 128289, 137288, 128327, 128683, 128450, 98127, 128854, 11, 342, 125726, 348, 125097, 2600, 128704, 128675, 320, 83, 124185, 128278, 128290, 701, 444, 3202, 16719, 128854, 129591, 130388, 47742, 64061, 97483, 129591, 130388, 128542, 128884, 126260, 129261, 11, 293, 35234, 129261, 128322, 128760, 79668, 28776, 128253, 128784, 128333, 137288, 128327, 128281, 131763, 128424, 128738, 2600, 128310, 128394, 47742, 128311, 128918, 128704, 128675, 129455, 129572, 624, 20897, 352, 94576, 128253, 128300, 129742, 128290, 220, 17, 15, 16, 19, 11, 129029, 44678, 2828, 6408, 79126, 28776, 128683, 128450, 98127, 128854, 128441, 129455, 130502, 128301, 2600, 94995, 274, 124411, 78228, 129018, 133318, 1163, 2185, 11, 130951, 132019, 26, 98127, 128854, 78228, 128704, 128675, 128350, 128495, 130361, 128740, 142267, 129572, 305, 11390, 129054, 129922, 13, 1163, 644, 132026, 126260, 128265, 126341, 128502, 14854, 3165, 136832, 132019, 14854, 11390, 142690, 83, 386, 14926, 72, 320, 339, 124397, 220, 17, 14, 17, 15, 16, 20, 701, 129029, 129528, 129029, 44678, 2828, 6408, 128268, 128498, 128451, 133827, 44678, 2828, 6408, 78228, 129018, 128531, 23165, 2143, 7777, 352, 78228, 137261, 128513, 129455, 129572, 624, 1143, 71179, 128439, 130008, 69086, 128526, 220, 18, 11, 128278, 128526, 220, 19, 14, 17, 15, 16, 20, 11, 444, 3202, 16719, 128854, 129591, 130388, 47742, 64061, 97483, 129591, 130388, 128268, 128542, 128884, 126260, 129261, 11, 98127, 128854, 78228, 129029, 11, 129857, 11, 128704, 128675, 305, 4076, 128285, 129822, 128599, 129455, 129572, 624, 20897, 53022, 220, 16, 15, 14, 18, 14, 17, 15, 16, 20, 11, 129126, 128441, 129591, 130388, 128362, 62029, 128683, 65526, 220, 16, 21, 18, 19, 27233, 4872, 47, 15843, 29171, 92430, 128603, 128431, 128935, 98127, 128854, 59735, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128250, 78228, 129029, 25, 44678, 5, 2828, 6408, 71554, 30923, 5, 8505, 71554, 128534, 137048, 11, 134352, 128311, 128265, 128441, 11, 129455, 129572, 11, 856, 86728, 62572, 296, 65762, 77, 129551, 128417, 128376, 128301, 128904, 128367, 11, 97832, 128623, 11, 85636, 128415, 624, 20897, 53022, 220, 16, 19, 14, 18, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 129372, 128424, 126260, 129261, 128272, 78228, 128406, 131484, 128265, 128301, 128269, 451, 20868, 35892, 72115, 11, 141425, 134315, 13, 1163, 644, 132214, 128266, 128289, 128250, 128704, 128675, 32154, 128270, 11, 128436, 128498, 128451, 130545, 128421, 53037, 79668, 128394, 14854, 125444, 11, 128394, 23165, 16685, 624, 40225, 124483, 128327, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128784, 128333, 129481, 128886, 220, 19, 15, 129427, 128329, 79668, 128336, 128283, 78228, 137261, 128513, 129156, 14854, 125444, 11, 128376, 128301, 128340, 220, 18, 15, 133270, 7777, 9574, 130469, 11, 220, 18, 15, 15, 133270, 143692, 128376, 2600, 128251, 128394, 128269, 78228, 127980, 128978, 128788, 128589, 128639, 130909, 624, 1282, 644, 141127, 128784, 133234, 136856, 129591, 130388, 128454, 128880, 128526, 220, 18, 14, 17, 15, 16, 20, 320, 759, 16685, 128373, 128300, 220, 20, 14, 19, 701, 130390, 131943, 129591, 130388, 128498, 128451, 129029, 44678, 5, 2828, 6408, 71554, 78228, 129029, 47742, 128704, 128675, 128360, 128424, 128884, 128553, 489, 2185, 128531, 23165, 2143, 62029, 128400, 128441, 11, 129455, 129572, 11, 129481, 128886, 128704, 128675, 132629, 73525, 128639, 130909, 653, 129572, 305, 11390, 69086, 128327, 342, 1103, 128447, 624, 20897, 53022, 220, 21, 14, 19, 11, 129029, 129528, 44678, 2828, 6408, 356, 3441, 129938, 135322, 128340, 129302, 22417, 64362, 585, 9991, 481, 137295, 133796, 138737, 61758, 131346, 128449, 320, 52868, 8, 128272, 128324, 29974, 132123, 129261, 128419, 128338, 132190, 129572, 128272, 451, 20868, 35892, 72115, 1112, 41016, 128270, 11, 128479, 129054, 52503, 6592, 128403, 128267, 134603, 128744, 94995, 131628, 128319, 128250, 129018, 129030, 132972, 129705, 128254, 128253, 128486, 128513, 129455, 129572, 129347, 128423, 79668, 28776, 128254, 128424, 136855, 78228, 130042, 348, 352, 94576, 131538, 61758, 96535, 624, 20897, 53022, 220, 16, 15, 14, 19, 11, 129126, 128441, 129591, 130388, 92430, 128603, 128403, 129748, 59735, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128272, 129935, 130097, 129822, 128403, 62029, 128400, 128441, 11, 129455, 131265, 52537, 47742, 128611, 130158, 129156, 132864, 128290, 220, 17, 15, 16, 19, 11, 128531, 23165, 2143, 129414, 128367, 62029, 128400, 128290, 220, 17, 15, 16, 20, 13, 84137, 128270, 11, 133761, 130390, 131943, 128498, 128451, 128424, 128884, 128531, 23165, 2143, 78228, 137261, 128513, 128441, 11, 129455, 129572, 11, 128281, 37915, 128421, 128250, 78228, 129018, 127980, 128978, 29974, 1163, 2185, 129029, 47742, 130951, 132019, 26, 132668, 128818, 135593, 129045, 11, 128846, 128653, 128251, 128394, 128353, 128284, 128861, 135159, 128301, 69086, 85636, 128415, 47742, 97832, 128623, 11, 128830, 128726, 128322, 133795, 129368, 135149, 129831, 128319, 131763, 128427, 128285, 128740, 142267, 128250, 128419, 128338, 132190, 129572, 624, 39, 94365, 308, 352, 47742, 128300, 16737, 320, 16, 18, 12, 16, 19, 14, 19, 701, 7777, 352, 32154, 94994, 128427, 132630, 129935, 130097, 129822, 128403, 62029, 128400, 128943, 128855, 129705, 76, 130980, 128394, 129447, 132629, 326, 124310, 128272, 50327, 7347, 3140, 11, 130390, 131943, 129591, 130388, 128984, 350, 124644, 142840, 128570, 15122, 29974, 1163, 2185, 128366, 133171, 128329, 135774, 11, 129372, 128424, 129522, 9586, 128419, 128338, 132190, 129572, 128272, 128249, 65526, 128704, 128675, 128269, 451, 20868, 35892, 72115, 26, 128266, 128289, 128250, 129018, 451, 20868, 35892, 72115, 11, 141425, 134315, 79668, 128611, 128486, 128513, 129455, 129572, 624, 51, 58506, 128338, 129572, 305, 11390, 128272, 29974, 1163, 2185, 129029, 653, 128492, 129589, 59735, 128871, 128726, 129019, 130990, 63478, 126258, 128603, 128300, 129357, 23165, 124504, 137513, 128304, 11, 128344, 128250, 128277, 86139, 128564, 128784, 137513, 59735, 129591, 130388, 47742, 78228, 129029, 11, 129857, 11, 128704, 128675, 11, 128277, 521, 2185, 259, 352, 59735, 89437, 136078, 128664, 128384, 11, 128253, 128486, 128513, 129209, 128322, 11, 128727, 128486, 128784, 128639, 130909, 128371, 128668, 11, 128727, 128417, 129551, 129169, 128480, 133713, 128333, 129986, 129121, 2600, 128251, 128394, 128704, 128675, 130052, 132457, 128267, 131969, 63478, 8943, 128373, 11, 128336, 61328, 79668, 128424, 128738, 2600, 128329, 135774, 29974, 1163, 2185, 129029, 132629, 73525, 140868, 129572, 11, 133713, 128333, 128564, 128480, 129986, 129121, 624, 33, 58506, 92155, 624, 51, 124185, 131774, 25, 220, 129591, 130388, 1154, 130390, 131943, 1154, 128984, 350, 124644, 142840, 1154, 133761, 130390, 131943, 1154, 130597, 1163, 2185, 131039, 1154, 129455, 129572, 1154, 128441, 129455, 131265, 52537, 1154, 451, 20868, 35892, 72115, 1154, 141425, 134315, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35, 125196, 128738, 129455, 330, 8212, 124631, 52570, 129572, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 16619, 352, 32154, 94994, 128427, 132630, 129935, 130097, 129822, 128403, 62029, 128400, 128943, 128855, 129705, 76, 130980, 128394, 129447, 132629, 326, 124310, 128272, 50327, 7347, 3140, 11, 130390, 131943, 129591, 130388, 128984, 350, 124644, 142840, 128570, 15122, 29974, 1163, 2185, 129029, 129372, 128424, 129522, 9586, 128419, 128338, 132190, 129572, 128272, 128249, 65526, 128704, 128675, 26, 128266, 128289, 128250, 129018, 451, 20868, 35892, 72115, 11, 141425, 134315, 128265, 78228, 128486, 128513, 129455, 129572, 624, 51, 36745, 489, 2185, 98127, 128854, 128441, 129455, 131265, 52537, 128981, 129838, 1112, 137408, 489, 2185, 128441, 11, 129455, 129572, 472, 4076, 128285, 129822, 128599, 129455, 129572, 128272, 451, 20868, 35892, 72115, 132850, 11, 129455, 129572, 11, 129551, 128417, 128376, 128301, 85636, 128415, 132234, 9338, 3357, 1794, 130390, 131943, 130597, 1163, 2185, 131039, 126260, 129261, 128419, 128338, 129572, 305, 11390, 128272, 451, 20868, 35892, 72115, 13, 220, 126884, 16719, 25, 647, 24430, 20290, 70, 124527, 8564, 71, 624, 13048, 51054, 308, 352, 11, 129591, 130388, 11, 128311, 128918, 128704, 128675, 47742, 128251, 128394, 451, 20868, 35892, 72115, 11, 141425, 134315, 1112, 320, 74, 16739, 128978, 132190, 129572, 128281, 128301, 8, 128348, 128282, 294, 125196, 128738, 129455, 521, 125529, 128250, 132864, 129572, 305, 11390, 23165, 124504, 137513, 128281, 69086, 130604, 220, 16, 15, 128290, 73525, 624, 20897, 352, 94576, 128278, 128290, 308, 352, 11, 128419, 128338, 132190, 129572, 128269, 451, 20868, 35892, 72115, 79126, 128906, 128738, 139529, 133863, 11, 220, 17, 15, 129122, 133456, 128301, 12, 129738, 128480, 59735, 129302, 390, 451, 20868, 35892, 72115, 128279, 272, 49886, 11, 128750, 132234, 128386, 135571, 128282, 129017, 11386, 524, 11, 132234, 128394, 129276, 134724, 97832, 128495, 11, 129169, 128480, 131638, 130540, 77, 624, 5404, 272, 49886, 19953, 124382, 129738, 128301, 2600, 97832, 128623, 47742, 85636, 128415, 11, 128271, 37915, 968, 11, 128847, 128269, 451, 20868, 35892, 72115, 11, 141425, 134315, 11, 130751, 138902, 128626, 98127, 128320, 128251, 71452, 47742, 128634, 390, 13, 130717, 11122, 124761, 132190, 137297, 11, 308, 133592, 308, 124516, 13, 137327, 142876, 6386, 11386, 64, 128865, 11, 11122, 124761, 326, 89639, 128279, 129017, 11386, 524, 13, 50327, 88602, 94995, 274, 124411, 922, 352, 922, 124651, 128378, 130502, 128482, 128442, 11, 128301, 130069, 1112, 356, 18934, 128394, 128704, 128675, 135571, 128282, 48488, 133899, 1112, 128266, 130917, 320, 8212, 125055, 128704, 128675, 128266, 131500, 128362, 129610, 7777, 383, 130469, 128266, 130917, 8, 130158, 128480, 73525, 128300, 11, 133459, 130868, 136008, 136733, 624, 785, 78, 126258, 128603, 11, 128290, 308, 352, 37915, 128290, 132190, 129572, 140868, 128406, 69086, 220, 16, 15, 128290, 128570, 85852, 128358, 128269, 451, 20868, 35892, 72115, 13, 16619, 352, 94576, 128278, 128526, 220, 16, 14, 17, 15, 16, 20, 11, 129822, 85536, 128761, 78228, 129122, 133456, 128301, 128269, 451, 20868, 35892, 72115, 98127, 128320, 220, 19, 15, 129077, 296, 18, 11, 129664, 220, 17, 15, 4, 85536, 128761, 128422, 128495, 624, 1282, 644, 128450, 24790, 92105, 128281, 128265, 128419, 128338, 129572, 305, 11390, 128272, 29974, 1163, 2185, 129029, 11, 1163, 2185, 128396, 133784, 128603, 20165, 2426, 129014, 663, 125992, 128683, 35555, 2600, 128345, 11, 128249, 65526, 78228, 134782, 913, 87939, 128821, 128269, 451, 20868, 35892, 72115, 79126, 132190, 19953, 124382, 11, 53037, 128320, 128301, 13, 138458, 128338, 132190, 129572, 11, 130502, 128301, 128487, 128424, 128884, 131871, 15122, 128269, 78228, 129018, 141425, 134315, 11, 451, 20868, 35892, 72115, 11, 129336, 35892, 72115, 624, 51, 125012, 128263, 128300, 220, 16, 15, 14, 19, 11, 85536, 128761, 141207, 59735, 136402, 128906, 78228, 129122, 133456, 132601, 128994, 128269, 451, 20868, 35892, 72115, 98127, 129664, 129227, 220, 17, 15, 4, 85536, 128761, 128422, 128495, 11, 78228, 129122, 128269, 141425, 134315, 11, 129336, 35892, 72115, 129664, 489, 2185, 128823, 129168, 220, 18, 15, 12, 19, 15, 4, 85536, 128761, 128422, 128495, 624, 43, 77869, 128371, 128253, 128639, 130909, 653, 128871, 128726, 129019, 130990, 11, 129572, 305, 11390, 129054, 129922, 128882, 15122, 11, 7777, 352, 94576, 128278, 128290, 220, 17, 15, 16, 20, 11, 444, 3202, 16719, 128854, 129591, 130388, 47742, 78228, 129029, 11, 129857, 11, 128704, 128675, 79126, 28776, 128253, 98127, 128854, 47742, 128486, 128513, 129705, 128254, 79668, 128740, 142267, 128250, 13535, 124631, 129572, 624, 51, 37059, 128704, 128675, 11, 131400, 128854, 129018, 451, 20868, 35892, 72115, 2600, 128345, 11, 78228, 137261, 128513, 128861, 135159, 128301, 79126, 63478, 128439, 130051, 47742, 48669, 78, 24185, 51580, 128336, 128283, 5492, 128373, 128250, 128289, 129263, 128373, 342, 645, 78, 135149, 11, 259, 125628, 128575, 28776, 128704, 98127, 7777, 352, 94576, 128278, 128290, 13, 133802, 129623, 128270, 11, 128289, 128830, 128726, 129368, 135149, 11, 128853, 132645, 279, 78, 128846, 128861, 135159, 128301, 130498, 63478, 128336, 128283, 69086, 128253, 128290, 73525, 11, 308, 352, 85852, 128424, 128884, 63478, 128336, 128283, 2406, 124382, 79668, 624, 51, 4076, 128452, 129572, 305, 11390, 131778, 129121, 11, 129655, 141673, 128599, 28776, 129572, 11, 129018, 128282, 129263, 128373, 129481, 128886, 129156, 14854, 125444, 11, 128376, 128301, 97832, 128623, 11, 130623, 39339, 595, 20868, 128812, 131912, 14845, 11, 129122, 272, 2185, 128376, 128301, 129986, 129121, 128421, 128250, 61758, 137634, 128704, 129030, 11, 61758, 139063, 126469, 128394, 69086, 129018, 11, 128329, 128327, 128456, 130097, 1163, 2185, 220, 85375, 128740, 129156, 4894, 51, 124185, 129854, 128322, 922, 276, 35555, 11, 128608, 129623, 128289, 137288, 128327, 128683, 128450, 98127, 128854, 11, 342, 125726, 348, 125097, 2600, 128704, 128675, 320, 83, 124185, 128278, 128290, 701, 444, 3202, 16719, 128854, 129591, 130388, 47742, 64061, 97483, 129591, 130388, 128542, 128884, 126260, 129261, 11, 293, 35234, 129261, 128322, 128760, 79668, 28776, 128253, 128784, 128333, 137288, 128327, 128281, 131763, 128424, 128738, 2600, 128310, 128394, 47742, 128311, 128918, 128704, 128675, 129455, 129572, 624, 20897, 352, 94576, 128253, 128300, 129742, 128290, 220, 17, 15, 16, 19, 11, 129029, 44678, 2828, 6408, 79126, 28776, 128683, 128450, 98127, 128854, 128441, 129455, 130502, 128301, 2600, 94995, 274, 124411, 78228, 129018, 133318, 1163, 2185, 11, 130951, 132019, 26, 98127, 128854, 78228, 128704, 128675, 128350, 128495, 130361, 128740, 142267, 129572, 305, 11390, 129054, 129922, 13, 1163, 644, 132026, 126260, 128265, 126341, 128502, 14854, 3165, 136832, 132019, 14854, 11390, 142690, 83, 386, 14926, 72, 320, 339, 124397, 220, 17, 14, 17, 15, 16, 20, 701, 129029, 129528, 129029, 44678, 2828, 6408, 128268, 128498, 128451, 133827, 44678, 2828, 6408, 78228, 129018, 128531, 23165, 2143, 7777, 352, 78228, 137261, 128513, 129455, 129572, 624, 1143, 71179, 128439, 130008, 69086, 128526, 220, 18, 11, 128278, 128526, 220, 19, 14, 17, 15, 16, 20, 11, 444, 3202, 16719, 128854, 129591, 130388, 47742, 64061, 97483, 129591, 130388, 128268, 128542, 128884, 126260, 129261, 11, 98127, 128854, 78228, 129029, 11, 129857, 11, 128704, 128675, 305, 4076, 128285, 129822, 128599, 129455, 129572, 624, 20897, 53022, 220, 16, 15, 14, 18, 14, 17, 15, 16, 20, 11, 129126, 128441, 129591, 130388, 128362, 62029, 128683, 65526, 220, 16, 21, 18, 19, 27233, 4872, 47, 15843, 29171, 92430, 128603, 128431, 128935, 98127, 128854, 59735, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128250, 78228, 129029, 25, 44678, 5, 2828, 6408, 71554, 30923, 5, 8505, 71554, 128534, 137048, 11, 134352, 128311, 128265, 128441, 11, 129455, 129572, 11, 856, 86728, 62572, 296, 65762, 77, 129551, 128417, 128376, 128301, 128904, 128367, 11, 97832, 128623, 11, 85636, 128415, 624, 20897, 53022, 220, 16, 19, 14, 18, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 129372, 128424, 126260, 129261, 128272, 78228, 128406, 131484, 128265, 128301, 128269, 451, 20868, 35892, 72115, 11, 141425, 134315, 13, 1163, 644, 132214, 128266, 128289, 128250, 128704, 128675, 32154, 128270, 11, 128436, 128498, 128451, 130545, 128421, 53037, 79668, 128394, 14854, 125444, 11, 128394, 23165, 16685, 624, 40225, 124483, 128327, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128784, 128333, 129481, 128886, 220, 19, 15, 129427, 128329, 79668, 128336, 128283, 78228, 137261, 128513, 129156, 14854, 125444, 11, 128376, 128301, 128340, 220, 18, 15, 133270, 7777, 9574, 130469, 11, 220, 18, 15, 15, 133270, 143692, 128376, 2600, 128251, 128394, 128269, 78228, 127980, 128978, 128788, 128589, 128639, 130909, 624, 1282, 644, 141127, 128784, 133234, 136856, 129591, 130388, 128454, 128880, 128526, 220, 18, 14, 17, 15, 16, 20, 320, 759, 16685, 128373, 128300, 220, 20, 14, 19, 701, 130390, 131943, 129591, 130388, 128498, 128451, 129029, 44678, 5, 2828, 6408, 71554, 78228, 129029, 47742, 128704, 128675, 128360, 128424, 128884, 128553, 489, 2185, 128531, 23165, 2143, 62029, 128400, 128441, 11, 129455, 129572, 11, 129481, 128886, 128704, 128675, 132629, 73525, 128639, 130909, 653, 129572, 305, 11390, 69086, 128327, 342, 1103, 128447, 624, 20897, 53022, 220, 21, 14, 19, 11, 129029, 129528, 44678, 2828, 6408, 356, 3441, 129938, 135322, 128340, 129302, 22417, 64362, 585, 9991, 481, 137295, 133796, 138737, 61758, 131346, 128449, 320, 52868, 8, 128272, 128324, 29974, 132123, 129261, 128419, 128338, 132190, 129572, 128272, 451, 20868, 35892, 72115, 1112, 41016, 128270, 11, 128479, 129054, 52503, 6592, 128403, 128267, 134603, 128744, 94995, 131628, 128319, 128250, 129018, 129030, 132972, 129705, 128254, 128253, 128486, 128513, 129455, 129572, 129347, 128423, 79668, 28776, 128254, 128424, 136855, 78228, 130042, 348, 352, 94576, 131538, 61758, 96535, 624, 20897, 53022, 220, 16, 15, 14, 19, 11, 129126, 128441, 129591, 130388, 92430, 128603, 128403, 129748, 59735, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128272, 129935, 130097, 129822, 128403, 62029, 128400, 128441, 11, 129455, 131265, 52537, 47742, 128611, 130158, 129156, 132864, 128290, 220, 17, 15, 16, 19, 11, 128531, 23165, 2143, 129414, 128367, 62029, 128400, 128290, 220, 17, 15, 16, 20, 13, 84137, 128270, 11, 133761, 130390, 131943, 128498, 128451, 128424, 128884, 128531, 23165, 2143, 78228, 137261, 128513, 128441, 11, 129455, 129572, 11, 128281, 37915, 128421, 128250, 78228, 129018, 127980, 128978, 29974, 1163, 2185, 129029, 47742, 130951, 132019, 26, 132668, 128818, 135593, 129045, 11, 128846, 128653, 128251, 128394, 128353, 128284, 128861, 135159, 128301, 69086, 85636, 128415, 47742, 97832, 128623, 11, 128830, 128726, 128322, 133795, 129368, 135149, 129831, 128319, 131763, 128427, 128285, 128740, 142267, 128250, 128419, 128338, 132190, 129572, 624, 39, 94365, 308, 352, 47742, 128300, 16737, 320, 16, 18, 12, 16, 19, 14, 19, 701, 7777, 352, 32154, 94994, 128427, 132630, 129935, 130097, 129822, 128403, 62029, 128400, 128943, 128855, 129705, 76, 130980, 128394, 129447, 132629, 326, 124310, 128272, 50327, 7347, 3140, 11, 130390, 131943, 129591, 130388, 128984, 350, 124644, 142840, 128570, 15122, 29974, 1163, 2185, 128366, 133171, 128329, 135774, 11, 129372, 128424, 129522, 9586, 128419, 128338, 132190, 129572, 128272, 128249, 65526, 128704, 128675, 128269, 451, 20868, 35892, 72115, 26, 128266, 128289, 128250, 129018, 451, 20868, 35892, 72115, 11, 141425, 134315, 79668, 128611, 128486, 128513, 129455, 129572, 624, 51, 58506, 128338, 129572, 305, 11390, 128272, 29974, 1163, 2185, 129029, 653, 128492, 129589, 59735, 128871, 128726, 129019, 130990, 63478, 126258, 128603, 128300, 129357, 23165, 124504, 137513, 128304, 11, 128344, 128250, 128277, 86139, 128564, 128784, 137513, 59735, 129591, 130388, 47742, 78228, 129029, 11, 129857, 11, 128704, 128675, 11, 128277, 521, 2185, 259, 352, 59735, 89437, 136078, 128664, 128384, 11, 128253, 128486, 128513, 129209, 128322, 11, 128727, 128486, 128784, 128639, 130909, 128371, 128668, 11, 128727, 128417, 129551, 129169, 128480, 133713, 128333, 129986, 129121, 2600, 128251, 128394, 128704, 128675, 130052, 132457, 128267, 131969, 63478, 8943, 128373, 11, 128336, 61328, 79668, 128424, 128738, 2600, 128329, 135774, 29974, 1163, 2185, 129029, 132629, 73525, 140868, 129572, 11, 133713, 128333, 128564, 128480, 129986, 129121, 624, 33, 58506, 92155, 624, 51, 124185, 131774, 25, 220, 129591, 130388, 1154, 130390, 131943, 1154, 128984, 350, 124644, 142840, 1154, 133761, 130390, 131943, 1154, 130597, 1163, 2185, 131039, 1154, 129455, 129572, 1154, 128441, 129455, 131265, 52537, 1154, 451, 20868, 35892, 72115, 1154, 141425, 134315, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869 ]
1,870
[ 39, 71431, 128886, 138770, 1527, 128441, 11, 129455, 128507, 326, 78820, 296, 70680, 76, 1293, 65742, 968, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 98127, 128854, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 128415, 128376, 320, 30664, 24015, 77374, 128515, 8, 220, 20, 13, 15, 15, 15, 326, 16095, 128585, 128380, 129261, 136658, 7355, 74, 509, 307, 129281, 61758, 126258, 141207, 128664, 94995, 79668, 129481, 128886, 129018, 138770, 1527, 128441, 11, 129455, 128507, 128453, 326, 78820, 296, 70680, 76, 1293, 65742, 968, 624, 1001, 42504, 131943, 128498, 128451, 128289, 128415, 128376, 11, 129270, 128356, 11, 128353, 128284, 65526, 128585, 128380, 308, 124634, 128273, 128336, 128283, 279, 78, 126370, 128333, 128283, 128373, 624, 131371, 968, 50327, 126011, 129126, 92155, 11, 133761, 33282, 138831, 129528, 33282, 138831, 663, 6654, 379, 129018, 138770, 1527, 2600, 128345, 128273, 128704, 129030, 129018, 138770, 1527, 79126, 131871, 15122, 220, 22, 133712, 128507, 326, 78820, 296, 70680, 76, 1293, 65742, 968, 128272, 220, 18, 131210, 25, 3406, 125562, 16719, 138019, 11, 138902, 129932, 47742, 451, 75076, 444, 124510, 13, 134175, 128375, 94995, 274, 124411, 131880, 128453, 37915, 220, 21, 23, 390, 26, 79126, 128575, 143010, 220, 16, 24, 390, 326, 84300, 77, 131880, 128453, 624, 13048, 51054, 259, 220, 37059, 78228, 128704, 129030, 308, 124634, 128273, 79126, 64061, 128980, 521, 125456, 129372, 342, 29341, 128272, 489, 92704, 128448, 128311, 15122, 11, 86139, 129838, 28776, 128507, 11, 272, 126424, 129984, 128830, 11, 1031, 61452, 128627, 11, 139950, 296, 60257, 489, 124692, 293, 22190, 11, 326, 84300, 77, 11, 294, 5498, 69086, 129838, 128507, 11, 129838, 128279, 128507, 81900, 15588, 124778, 11, 129888, 128356, 134168, 78228, 128331, 128319, 3275, 130375, 624, 34, 29341, 128847, 28776, 128507, 79126, 126341, 128502, 129067, 97832, 11, 1319, 359, 128575, 129703, 23165, 50674, 136658, 129991, 128331, 128272, 129838, 128507, 47742, 78228, 129838, 132726, 595, 39938, 13, 135322, 128285, 128310, 128394, 128401, 128847, 129263, 128373, 129822, 129067, 97832, 128448, 37915, 968, 11, 7777, 11151, 856, 49980, 26, 78228, 126469, 94995, 128890, 521, 124626, 132645, 294, 79823, 129067, 97832, 131560, 128267, 11, 296, 4284, 348, 124312, 293, 94313, 79668, 23165, 50674, 136658, 11, 220, 42504, 129036, 279, 78, 128675, 128513, 130884, 97832, 128292, 79668, 128575, 1853, 124382, 296, 125139, 128453, 624, 131371, 968, 92155, 2600, 128345, 128622, 11, 128263, 308, 352, 128507, 326, 78820, 296, 70680, 76, 1293, 65742, 968, 128273, 128704, 129030, 129018, 79126, 63478, 23165, 89208, 128751, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39, 71431, 128886, 138770, 1527, 128441, 11, 129455, 128507, 326, 78820, 296, 70680, 76, 1293, 65742, 968, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 98127, 128854, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 128415, 128376, 320, 30664, 24015, 77374, 128515, 8, 220, 20, 13, 15, 15, 15, 326, 16095, 128585, 128380, 129261, 136658, 7355, 74, 509, 307, 129281, 61758, 126258, 141207, 128664, 94995, 79668, 129481, 128886, 129018, 138770, 1527, 128441, 11, 129455, 128507, 128453, 326, 78820, 296, 70680, 76, 1293, 65742, 968, 624, 1001, 42504, 131943, 128498, 128451, 128289, 128415, 128376, 11, 129270, 128356, 11, 128353, 128284, 65526, 128585, 128380, 308, 124634, 128273, 128336, 128283, 279, 78, 126370, 128333, 128283, 128373, 624, 131371, 968, 50327, 126011, 129126, 92155, 11, 133761, 33282, 138831, 129528, 33282, 138831, 663, 6654, 379, 129018, 138770, 1527, 2600, 128345, 128273, 128704, 129030, 129018, 138770, 1527, 79126, 131871, 15122, 220, 22, 133712, 128507, 326, 78820, 296, 70680, 76, 1293, 65742, 968, 128272, 220, 18, 131210, 25, 3406, 125562, 16719, 138019, 11, 138902, 129932, 47742, 451, 75076, 444, 124510, 13, 134175, 128375, 94995, 274, 124411, 131880, 128453, 37915, 220, 21, 23, 390, 26, 79126, 128575, 143010, 220, 16, 24, 390, 326, 84300, 77, 131880, 128453, 624, 13048, 51054, 259, 220, 37059, 78228, 128704, 129030, 308, 124634, 128273, 79126, 64061, 128980, 521, 125456, 129372, 342, 29341, 128272, 489, 92704, 128448, 128311, 15122, 11, 86139, 129838, 28776, 128507, 11, 272, 126424, 129984, 128830, 11, 1031, 61452, 128627, 11, 139950, 296, 60257, 489, 124692, 293, 22190, 11, 326, 84300, 77, 11, 294, 5498, 69086, 129838, 128507, 11, 129838, 128279, 128507, 81900, 15588, 124778, 11, 129888, 128356, 134168, 78228, 128331, 128319, 3275, 130375, 624, 34, 29341, 128847, 28776, 128507, 79126, 126341, 128502, 129067, 97832, 11, 1319, 359, 128575, 129703, 23165, 50674, 136658, 129991, 128331, 128272, 129838, 128507, 47742, 78228, 129838, 132726, 595, 39938, 13, 135322, 128285, 128310, 128394, 128401, 128847, 129263, 128373, 129822, 129067, 97832, 128448, 37915, 968, 11, 7777, 11151, 856, 49980, 26, 78228, 126469, 94995, 128890, 521, 124626, 132645, 294, 79823, 129067, 97832, 131560, 128267, 11, 296, 4284, 348, 124312, 293, 94313, 79668, 23165, 50674, 136658, 11, 220, 42504, 129036, 279, 78, 128675, 128513, 130884, 97832, 128292, 79668, 128575, 1853, 124382, 296, 125139, 128453, 624, 131371, 968, 92155, 2600, 128345, 128622, 11, 128263, 308, 352, 128507, 326, 78820, 296, 70680, 76, 1293, 65742, 968, 128273, 128704, 129030, 129018, 79126, 63478, 23165, 89208, 128751, 624, 47978, 51549, 7767, 27021, 624, 151645 ]
[ 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
[ 1, 1143, 125456, 1, 128403, 128432, 129705, 128254, 128448, 22708, 133863, 130726, 11250, 309, 69086, 128526, 220, 16, 15, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131677, 128564, 136856, 128265, 128448, 22708, 133863, 128521, 128685, 12, 4239, 39, 9985, 73525, 53037, 134851, 444, 125017, 11, 9512, 1387, 685, 128688, 220, 16, 15, 14, 24, 11, 129029, 129528, 50327, 20868, 4929, 663, 58597, 136732, 128333, 11, 128289, 130693, 129156, 128448, 22708, 96535, 79668, 128904, 128367, 2600, 653, 27924, 128386, 128623, 128285, 11, 128310, 128394, 73586, 85852, 128250, 128309, 125440, 128418, 128281, 624, 33, 37678, 129528, 129029, 11911, 20457, 50327, 20868, 4929, 663, 58597, 128498, 128451, 356, 92704, 137327, 53037, 128324, 29974, 128282, 128643, 129202, 128603, 129410, 128265, 128448, 22708, 133863, 130726, 11250, 309, 69086, 128526, 220, 24, 13, 220, 126884, 16719, 25, 647, 24430, 14, 3357, 276, 1163, 524, 624, 785, 78, 128603, 129410, 59735, 356, 92704, 137327, 53037, 128324, 29974, 128265, 128403, 128432, 126341, 128502, 131885, 128990, 128448, 22708, 133863, 128521, 128685, 12, 4239, 39, 9985, 653, 130017, 128534, 13580, 137327, 53037, 128324, 29974, 320, 94054, 12400, 34130, 8, 128336, 128283, 128250, 1031, 124483, 53638, 72, 126359, 128333, 320, 46616, 8, 362, 18, 17, 16, 2600, 128403, 128432, 137335, 134780, 63478, 220, 20, 130747, 22708, 47742, 220, 23, 21, 13136, 128448, 22708, 773, 128250, 128448, 22708, 128283, 128272, 624, 45, 6023, 124477, 128580, 128456, 856, 2185, 922, 27924, 128448, 22708, 133863, 624, 53, 39938, 128334, 96535, 11, 129029, 129528, 129029, 11911, 20457, 50327, 20868, 4929, 663, 58597, 133863, 270, 124551, 128339, 25, 129718, 53037, 24790, 128403, 128432, 128270, 11, 128249, 14854, 125455, 22708, 133863, 129597, 130483, 11, 128249, 14854, 125455, 22708, 130604, 85852, 98127, 137335, 134780, 63478, 28776, 220, 20, 130747, 13, 128678, 128744, 94995, 128339, 128250, 128296, 128282, 128861, 135159, 63478, 129530, 128281, 220, 23, 12, 16, 15, 130747, 13, 129024, 63478, 128260, 128490, 37915, 129551, 128417, 128423, 128432, 11, 128430, 653, 27924, 128386, 128861, 135159, 128271, 25798, 128812, 22956, 1282, 21742, 128814, 128580, 128456, 96535, 11, 356, 92704, 129528, 356, 92704, 137327, 53037, 128324, 29974, 444, 37059, 133361, 663, 27924, 2600, 128345, 128403, 128432, 128339, 128273, 79126, 63478, 78228, 128744, 94995, 619, 31001, 320, 79759, 52885, 130164, 8, 128826, 128309, 11, 279, 78, 128270, 11, 129168, 128328, 47742, 128327, 342, 1103, 22708, 129509, 128377, 92430, 65526, 126199, 356, 92704, 79126, 62029, 128888, 624, 785, 78, 128436, 663, 27924, 11, 94994, 128531, 23165, 2143, 128448, 22708, 133863, 11, 128360, 128486, 128784, 128580, 128456, 296, 92302, 22708, 69086, 129838, 130868, 13, 2350, 7431, 444, 125017, 128283, 92105, 128329, 128431, 2600, 128324, 29974, 128353, 128284, 294, 75050, 128368, 2162, 78, 94576, 296, 92302, 22708, 12772, 17, 19, 15, 128263, 12772, 17, 23, 15, 320, 83, 124185, 220, 22, 13, 18, 15, 15, 76, 481, 23, 13, 20, 20, 15, 76, 8, 128317, 128267, 53037, 128861, 135159, 63478, 128271, 128452, 88057, 13, 131346, 128317, 129414, 128367, 128639, 130909, 128281, 37915, 14854, 6362, 76, 1319, 11390, 128250, 129854, 89437, 79668, 28776, 128254, 128350, 63478, 296, 92302, 22708, 129597, 130483, 624, 53, 39938, 25798, 128812, 128459, 129111, 11, 129029, 129528, 50327, 20868, 4929, 663, 58597, 128498, 128451, 356, 92704, 137327, 53037, 128486, 128745, 129398, 128378, 822, 78, 128289, 14854, 6362, 76, 1319, 11390, 25798, 128812, 128459, 129111, 128250, 444, 125017, 47742, 9512, 1387, 685, 128651, 28776, 128403, 128432, 128344, 79126, 28776, 92430, 24790, 128812, 128459, 129111, 128249, 135418, 22708, 128304, 220, 21, 15, 15, 26749, 11, 2162, 78, 128304, 773, 128250, 65526, 128515, 128861, 135159, 63478, 624, 131371, 968, 444, 37059, 133361, 663, 27924, 128603, 129410, 129240, 128812, 128339, 128273, 37915, 139511, 128439, 279, 78, 129240, 128812, 128283, 128373, 59735, 444, 125017, 47742, 9512, 1387, 685, 128348, 77374, 279, 78, 128448, 22708, 128521, 128685, 12, 3357, 6654, 128494, 624, 20897, 85532, 130719, 128278, 129857, 11911, 20457, 2600, 128640, 129240, 128812, 128348, 77374, 59735, 128448, 22708, 128521, 128685, 12, 3357, 6654, 128494, 37915, 128812, 128448, 22708, 128664, 128384, 13, 135466, 128421, 128250, 128448, 22708, 133863, 128521, 128685, 12, 4239, 39, 9985, 37915, 128448, 22708, 128811, 128704, 128317, 128282, 128845, 128580, 128456, 128354, 13, 129024, 356, 92704, 137327, 53037, 53037, 14854, 6362, 76, 1319, 11390, 63478, 128291, 128282, 128603, 129410, 79668, 129029, 14854, 6362, 76, 1319, 11390, 13, 129024, 129029, 53037, 14854, 6362, 76, 1319, 11390, 63478, 128267, 128603, 129410, 129591, 130388, 79668, 14854, 6362, 76, 1319, 11390, 128269, 128376, 2162, 78, 128304, 624, 33, 27021, 129623, 128270, 11, 129029, 129528, 50327, 20868, 4929, 663, 58597, 136732, 128333, 308, 124551, 133863, 128448, 22708, 98127, 37915, 128249, 69086, 128253, 128486, 128513, 69086, 129822, 128254, 128486, 128513, 69086, 126341, 128502, 22708, 11, 390, 128251, 47742, 128283, 308, 352, 11, 78228, 128666, 128444, 61758, 53037, 128651, 128427, 128285, 1062, 72, 128358, 37915, 128249, 128289, 59735, 128312, 126199, 128348, 856, 336, 128260, 128249, 128289, 129470, 128845, 94576, 128273, 129630, 624, 45351, 51580, 135159, 128249, 130747, 22708, 128268, 37915, 129681, 128309, 624, 785, 78, 128436, 50327, 20868, 128324, 663, 124933, 11, 130017, 137295, 133796, 130017, 128534, 13580, 140428, 128356, 22708, 128324, 29974, 11, 28776, 128448, 22708, 133863, 128487, 128418, 128304, 11, 128430, 128486, 128784, 63478, 129822, 128254, 128265, 128457, 128573, 128448, 22708, 133138, 59735, 129857, 137327, 53037, 624, 43, 19622, 128486, 128580, 128456, 128273, 11, 128436, 663, 124933, 128930, 15122, 128653, 128977, 11, 78228, 132159, 61758, 53037, 129655, 79126, 128350, 128717, 22708, 128344, 69086, 128249, 128290, 11, 94994, 86139, 130567, 128327, 128861, 135429, 128291, 28776, 128304, 220, 16, 15, 15, 135418, 22708, 128282, 22708, 279, 78, 128846, 130951, 11, 73525, 53037, 134851, 444, 125017, 11, 9512, 1387, 685, 13, 350, 4076, 128452, 11, 128448, 22708, 133863, 73525, 53037, 134851, 444, 125017, 128487, 129233, 128639, 130909, 94994, 128301, 89437, 98127, 2600, 22708, 69086, 296, 92302, 22708, 12772, 17, 19, 15, 12, 6126, 17, 23, 15, 13, 133958, 128490, 128291, 53037, 128254, 22708, 63478, 11, 128525, 130469, 128260, 82790, 129036, 135836, 128465, 130702, 128269, 128974, 131026, 128251, 11, 128436, 663, 124933, 128780, 128370, 624, 53, 39938, 129260, 129087, 128378, 822, 78, 444, 125017, 98127, 2600, 130224, 133465, 22708, 22708, 128269, 294, 75050, 128368, 2162, 78, 128273, 11, 128436, 663, 124933, 129036, 128761, 11, 128336, 128384, 11, 489, 524, 128422, 128279, 11, 128365, 128599, 129270, 128356, 128448, 22708, 11, 129522, 134814, 97483, 53037, 129480, 59735, 444, 125017, 128320, 129572, 128751, 13, 130629, 128490, 11, 128725, 128830, 128401, 128366, 489, 92704, 128324, 29974, 73525, 444, 125017, 37915, 128459, 130897, 128250, 129854, 89437, 624, 53, 23531, 128314, 11, 128436, 663, 124933, 128935, 130097, 11, 128422, 128980, 128448, 22708, 128249, 131149, 130726, 11250, 309, 128487, 279, 78, 128448, 133138, 79668, 128757, 129470, 128599, 2600, 129522, 134814, 97483, 53037, 129480, 11, 128320, 131149, 29974, 7671, 124431, 22708, 279, 78, 128448, 133863, 79668, 129831, 128319, 128250, 129363, 128365, 128334, 128373, 22708, 59735, 129854, 444, 125017, 624, 131371, 968, 2350, 276, 133361, 129938, 11, 133761, 130017, 137295, 133796, 22500, 34130, 128268, 2600, 128345, 11, 220, 20, 128290, 73525, 11, 22500, 34130, 79126, 128336, 128283, 220, 17, 15, 128448, 22708, 308, 124551, 132314, 11, 128861, 135159, 220, 19, 13, 18, 15, 15, 128626, 22708, 13, 3155, 128490, 11, 129655, 78228, 521, 126011, 22708, 137335, 134780, 63478, 220, 20, 130747, 128268, 37915, 128323, 129681, 13, 350, 4076, 128452, 11, 79668, 129551, 128417, 458, 128401, 11, 128423, 128432, 595, 20868, 128384, 11, 128360, 28776, 128277, 128329, 131678, 59735, 78228, 128301, 444, 125017, 11, 9512, 1387, 685, 79668, 128334, 128373, 24743, 124483, 53037, 129480, 624, 42, 51580, 133600, 128564, 136856, 11, 129029, 129528, 50327, 20868, 4929, 663, 58597, 137429, 128818, 11, 128249, 130747, 22708, 128861, 135159, 128268, 37915, 129681, 128309, 47742, 128498, 128451, 78228, 128666, 128444, 128542, 922, 276, 128424, 128884, 130693, 129156, 128622, 78228, 128448, 22708, 133863, 11, 69086, 128270, 28776, 128448, 22708, 133863, 128521, 128685, 12, 350, 10842, 9985, 624, 33, 37678, 129528, 50327, 20868, 4929, 663, 58597, 128268, 128498, 128451, 64061, 128980, 126341, 62029, 128400, 129372, 129281, 129029, 11911, 20457, 128424, 128884, 130693, 129156, 47742, 856, 336, 130985, 126370, 130361, 129838, 130868, 11, 126370, 130361, 272, 124428, 61758, 53037, 11, 79668, 129664, 128529, 128423, 128432, 128353, 128284, 11, 128329, 128327, 11, 69086, 128526, 220, 24, 96535, 11, 356, 92704, 137327, 53037, 128282, 28776, 128603, 129410, 79668, 129029, 129528, 128266, 128289, 129372, 128424, 128250, 129029, 129528, 129029, 11911, 20457, 444, 125017, 47742, 9512, 1387, 685, 128253, 128580, 128456, 129281, 133024, 128918, 129029, 11911, 20457, 11, 128725, 132629, 133024, 128918, 128267, 128603, 129410, 129591, 130388, 79668, 128486, 128784, 13, 1163, 644, 128526, 220, 16, 15, 11, 128282, 28776, 128403, 128432, 129705, 128254, 128265, 128448, 22708, 130726, 11250, 309, 128608, 129623, 128289, 128424, 128884, 308, 124551, 78228, 128448, 22708, 133863, 128354, 624, 3357, 276, 1163, 524, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1, 1143, 125456, 1, 128403, 128432, 129705, 128254, 128448, 22708, 133863, 130726, 11250, 309, 69086, 128526, 220, 16, 15, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131677, 128564, 136856, 128265, 128448, 22708, 133863, 128521, 128685, 12, 4239, 39, 9985, 73525, 53037, 134851, 444, 125017, 11, 9512, 1387, 685, 128688, 220, 16, 15, 14, 24, 11, 129029, 129528, 50327, 20868, 4929, 663, 58597, 136732, 128333, 11, 128289, 130693, 129156, 128448, 22708, 96535, 79668, 128904, 128367, 2600, 653, 27924, 128386, 128623, 128285, 11, 128310, 128394, 73586, 85852, 128250, 128309, 125440, 128418, 128281, 624, 33, 37678, 129528, 129029, 11911, 20457, 50327, 20868, 4929, 663, 58597, 128498, 128451, 356, 92704, 137327, 53037, 128324, 29974, 128282, 128643, 129202, 128603, 129410, 128265, 128448, 22708, 133863, 130726, 11250, 309, 69086, 128526, 220, 24, 13, 220, 126884, 16719, 25, 647, 24430, 14, 3357, 276, 1163, 524, 624, 785, 78, 128603, 129410, 59735, 356, 92704, 137327, 53037, 128324, 29974, 128265, 128403, 128432, 126341, 128502, 131885, 128990, 128448, 22708, 133863, 128521, 128685, 12, 4239, 39, 9985, 653, 130017, 128534, 13580, 137327, 53037, 128324, 29974, 320, 94054, 12400, 34130, 8, 128336, 128283, 128250, 1031, 124483, 53638, 72, 126359, 128333, 320, 46616, 8, 362, 18, 17, 16, 2600, 128403, 128432, 137335, 134780, 63478, 220, 20, 130747, 22708, 47742, 220, 23, 21, 13136, 128448, 22708, 773, 128250, 128448, 22708, 128283, 128272, 624, 45, 6023, 124477, 128580, 128456, 856, 2185, 922, 27924, 128448, 22708, 133863, 624, 53, 39938, 128334, 96535, 11, 129029, 129528, 129029, 11911, 20457, 50327, 20868, 4929, 663, 58597, 133863, 270, 124551, 128339, 25, 129718, 53037, 24790, 128403, 128432, 128270, 11, 128249, 14854, 125455, 22708, 133863, 129597, 130483, 11, 128249, 14854, 125455, 22708, 130604, 85852, 98127, 137335, 134780, 63478, 28776, 220, 20, 130747, 13, 128678, 128744, 94995, 128339, 128250, 128296, 128282, 128861, 135159, 63478, 129530, 128281, 220, 23, 12, 16, 15, 130747, 13, 129024, 63478, 128260, 128490, 37915, 129551, 128417, 128423, 128432, 11, 128430, 653, 27924, 128386, 128861, 135159, 128271, 25798, 128812, 22956, 1282, 21742, 128814, 128580, 128456, 96535, 11, 356, 92704, 129528, 356, 92704, 137327, 53037, 128324, 29974, 444, 37059, 133361, 663, 27924, 2600, 128345, 128403, 128432, 128339, 128273, 79126, 63478, 78228, 128744, 94995, 619, 31001, 320, 79759, 52885, 130164, 8, 128826, 128309, 11, 279, 78, 128270, 11, 129168, 128328, 47742, 128327, 342, 1103, 22708, 129509, 128377, 92430, 65526, 126199, 356, 92704, 79126, 62029, 128888, 624, 785, 78, 128436, 663, 27924, 11, 94994, 128531, 23165, 2143, 128448, 22708, 133863, 11, 128360, 128486, 128784, 128580, 128456, 296, 92302, 22708, 69086, 129838, 130868, 13, 2350, 7431, 444, 125017, 128283, 92105, 128329, 128431, 2600, 128324, 29974, 128353, 128284, 294, 75050, 128368, 2162, 78, 94576, 296, 92302, 22708, 12772, 17, 19, 15, 128263, 12772, 17, 23, 15, 320, 83, 124185, 220, 22, 13, 18, 15, 15, 76, 481, 23, 13, 20, 20, 15, 76, 8, 128317, 128267, 53037, 128861, 135159, 63478, 128271, 128452, 88057, 13, 131346, 128317, 129414, 128367, 128639, 130909, 128281, 37915, 14854, 6362, 76, 1319, 11390, 128250, 129854, 89437, 79668, 28776, 128254, 128350, 63478, 296, 92302, 22708, 129597, 130483, 624, 53, 39938, 25798, 128812, 128459, 129111, 11, 129029, 129528, 50327, 20868, 4929, 663, 58597, 128498, 128451, 356, 92704, 137327, 53037, 128486, 128745, 129398, 128378, 822, 78, 128289, 14854, 6362, 76, 1319, 11390, 25798, 128812, 128459, 129111, 128250, 444, 125017, 47742, 9512, 1387, 685, 128651, 28776, 128403, 128432, 128344, 79126, 28776, 92430, 24790, 128812, 128459, 129111, 128249, 135418, 22708, 128304, 220, 21, 15, 15, 26749, 11, 2162, 78, 128304, 773, 128250, 65526, 128515, 128861, 135159, 63478, 624, 131371, 968, 444, 37059, 133361, 663, 27924, 128603, 129410, 129240, 128812, 128339, 128273, 37915, 139511, 128439, 279, 78, 129240, 128812, 128283, 128373, 59735, 444, 125017, 47742, 9512, 1387, 685, 128348, 77374, 279, 78, 128448, 22708, 128521, 128685, 12, 3357, 6654, 128494, 624, 20897, 85532, 130719, 128278, 129857, 11911, 20457, 2600, 128640, 129240, 128812, 128348, 77374, 59735, 128448, 22708, 128521, 128685, 12, 3357, 6654, 128494, 37915, 128812, 128448, 22708, 128664, 128384, 13, 135466, 128421, 128250, 128448, 22708, 133863, 128521, 128685, 12, 4239, 39, 9985, 37915, 128448, 22708, 128811, 128704, 128317, 128282, 128845, 128580, 128456, 128354, 13, 129024, 356, 92704, 137327, 53037, 53037, 14854, 6362, 76, 1319, 11390, 63478, 128291, 128282, 128603, 129410, 79668, 129029, 14854, 6362, 76, 1319, 11390, 13, 129024, 129029, 53037, 14854, 6362, 76, 1319, 11390, 63478, 128267, 128603, 129410, 129591, 130388, 79668, 14854, 6362, 76, 1319, 11390, 128269, 128376, 2162, 78, 128304, 624, 33, 27021, 129623, 128270, 11, 129029, 129528, 50327, 20868, 4929, 663, 58597, 136732, 128333, 308, 124551, 133863, 128448, 22708, 98127, 37915, 128249, 69086, 128253, 128486, 128513, 69086, 129822, 128254, 128486, 128513, 69086, 126341, 128502, 22708, 11, 390, 128251, 47742, 128283, 308, 352, 11, 78228, 128666, 128444, 61758, 53037, 128651, 128427, 128285, 1062, 72, 128358, 37915, 128249, 128289, 59735, 128312, 126199, 128348, 856, 336, 128260, 128249, 128289, 129470, 128845, 94576, 128273, 129630, 624, 45351, 51580, 135159, 128249, 130747, 22708, 128268, 37915, 129681, 128309, 624, 785, 78, 128436, 50327, 20868, 128324, 663, 124933, 11, 130017, 137295, 133796, 130017, 128534, 13580, 140428, 128356, 22708, 128324, 29974, 11, 28776, 128448, 22708, 133863, 128487, 128418, 128304, 11, 128430, 128486, 128784, 63478, 129822, 128254, 128265, 128457, 128573, 128448, 22708, 133138, 59735, 129857, 137327, 53037, 624, 43, 19622, 128486, 128580, 128456, 128273, 11, 128436, 663, 124933, 128930, 15122, 128653, 128977, 11, 78228, 132159, 61758, 53037, 129655, 79126, 128350, 128717, 22708, 128344, 69086, 128249, 128290, 11, 94994, 86139, 130567, 128327, 128861, 135429, 128291, 28776, 128304, 220, 16, 15, 15, 135418, 22708, 128282, 22708, 279, 78, 128846, 130951, 11, 73525, 53037, 134851, 444, 125017, 11, 9512, 1387, 685, 13, 350, 4076, 128452, 11, 128448, 22708, 133863, 73525, 53037, 134851, 444, 125017, 128487, 129233, 128639, 130909, 94994, 128301, 89437, 98127, 2600, 22708, 69086, 296, 92302, 22708, 12772, 17, 19, 15, 12, 6126, 17, 23, 15, 13, 133958, 128490, 128291, 53037, 128254, 22708, 63478, 11, 128525, 130469, 128260, 82790, 129036, 135836, 128465, 130702, 128269, 128974, 131026, 128251, 11, 128436, 663, 124933, 128780, 128370, 624, 53, 39938, 129260, 129087, 128378, 822, 78, 444, 125017, 98127, 2600, 130224, 133465, 22708, 22708, 128269, 294, 75050, 128368, 2162, 78, 128273, 11, 128436, 663, 124933, 129036, 128761, 11, 128336, 128384, 11, 489, 524, 128422, 128279, 11, 128365, 128599, 129270, 128356, 128448, 22708, 11, 129522, 134814, 97483, 53037, 129480, 59735, 444, 125017, 128320, 129572, 128751, 13, 130629, 128490, 11, 128725, 128830, 128401, 128366, 489, 92704, 128324, 29974, 73525, 444, 125017, 37915, 128459, 130897, 128250, 129854, 89437, 624, 53, 23531, 128314, 11, 128436, 663, 124933, 128935, 130097, 11, 128422, 128980, 128448, 22708, 128249, 131149, 130726, 11250, 309, 128487, 279, 78, 128448, 133138, 79668, 128757, 129470, 128599, 2600, 129522, 134814, 97483, 53037, 129480, 11, 128320, 131149, 29974, 7671, 124431, 22708, 279, 78, 128448, 133863, 79668, 129831, 128319, 128250, 129363, 128365, 128334, 128373, 22708, 59735, 129854, 444, 125017, 624, 131371, 968, 2350, 276, 133361, 129938, 11, 133761, 130017, 137295, 133796, 22500, 34130, 128268, 2600, 128345, 11, 220, 20, 128290, 73525, 11, 22500, 34130, 79126, 128336, 128283, 220, 17, 15, 128448, 22708, 308, 124551, 132314, 11, 128861, 135159, 220, 19, 13, 18, 15, 15, 128626, 22708, 13, 3155, 128490, 11, 129655, 78228, 521, 126011, 22708, 137335, 134780, 63478, 220, 20, 130747, 128268, 37915, 128323, 129681, 13, 350, 4076, 128452, 11, 79668, 129551, 128417, 458, 128401, 11, 128423, 128432, 595, 20868, 128384, 11, 128360, 28776, 128277, 128329, 131678, 59735, 78228, 128301, 444, 125017, 11, 9512, 1387, 685, 79668, 128334, 128373, 24743, 124483, 53037, 129480, 624, 42, 51580, 133600, 128564, 136856, 11, 129029, 129528, 50327, 20868, 4929, 663, 58597, 137429, 128818, 11, 128249, 130747, 22708, 128861, 135159, 128268, 37915, 129681, 128309, 47742, 128498, 128451, 78228, 128666, 128444, 128542, 922, 276, 128424, 128884, 130693, 129156, 128622, 78228, 128448, 22708, 133863, 11, 69086, 128270, 28776, 128448, 22708, 133863, 128521, 128685, 12, 350, 10842, 9985, 624, 33, 37678, 129528, 50327, 20868, 4929, 663, 58597, 128268, 128498, 128451, 64061, 128980, 126341, 62029, 128400, 129372, 129281, 129029, 11911, 20457, 128424, 128884, 130693, 129156, 47742, 856, 336, 130985, 126370, 130361, 129838, 130868, 11, 126370, 130361, 272, 124428, 61758, 53037, 11, 79668, 129664, 128529, 128423, 128432, 128353, 128284, 11, 128329, 128327, 11, 69086, 128526, 220, 24, 96535, 11, 356, 92704, 137327, 53037, 128282, 28776, 128603, 129410, 79668, 129029, 129528, 128266, 128289, 129372, 128424, 128250, 129029, 129528, 129029, 11911, 20457, 444, 125017, 47742, 9512, 1387, 685, 128253, 128580, 128456, 129281, 133024, 128918, 129029, 11911, 20457, 11, 128725, 132629, 133024, 128918, 128267, 128603, 129410, 129591, 130388, 79668, 128486, 128784, 13, 1163, 644, 128526, 220, 16, 15, 11, 128282, 28776, 128403, 128432, 129705, 128254, 128265, 128448, 22708, 130726, 11250, 309, 128608, 129623, 128289, 128424, 128884, 308, 124551, 78228, 128448, 22708, 133863, 128354, 624, 3357, 276, 1163, 524, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415 ]
1,416
[ 2183, 124428, 16619, 126175, 129481, 128886, 134375, 2600, 132037, 128560, 128279, 141753, 131579, 69086, 128367, 137297, 136625, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 73061, 8065, 129018, 133314, 16619, 126175, 128727, 28776, 98127, 128854, 129481, 128886, 128265, 134375, 128421, 128250, 78228, 126469, 132037, 128560, 128279, 141753, 131579, 653, 143225, 64, 11386, 49886, 128300, 220, 24, 14, 17, 14, 17, 15, 16, 17, 624, 47978, 88602, 64061, 136625, 139511, 11, 128888, 128597, 78228, 128444, 128597, 326, 9574, 11, 274, 127432, 128319, 128356, 79668, 136625, 139511, 308, 9917, 71, 131827, 73586, 86139, 128623, 128285, 133713, 128333, 624, 785, 78, 128270, 11, 129018, 133314, 16619, 126175, 128267, 53037, 77374, 134375, 130929, 128601, 128290, 220, 17, 15, 16, 17, 59735, 78228, 126469, 132037, 128560, 128279, 141753, 131579, 653, 143225, 64, 11386, 49886, 128300, 220, 24, 14, 17, 14, 17, 15, 16, 17, 13, 134914, 128250, 78228, 126469, 132037, 128560, 79126, 143281, 11, 356, 92704, 35892, 26068, 129018, 133314, 16619, 126175, 128267, 98127, 128854, 33282, 138831, 35892, 26068, 64061, 128974, 133314, 16619, 126175, 128980, 98896, 95082, 279, 78, 128981, 126469, 11, 65526, 134375, 79126, 143281, 11, 130506, 133827, 134352, 128311, 129822, 128319, 11, 128361, 73061, 8065, 129018, 128784, 128333, 128643, 129477, 624, 40225, 87939, 128250, 134375, 128309, 128466, 94995, 128529, 11, 78228, 126469, 132037, 128560, 128279, 141753, 131579, 128556, 85636, 128424, 128884, 595, 20868, 653, 27924, 32154, 128367, 143225, 64, 11386, 49886, 128651, 129207, 128333, 63478, 126370, 130179, 595, 20868, 653, 27924, 79668, 128439, 134375, 13, 73061, 8065, 129018, 133314, 16619, 126175, 342, 22516, 356, 92704, 35892, 26068, 129018, 98127, 128854, 33282, 138831, 35892, 26068, 64061, 128974, 133314, 16619, 126175, 279, 78, 136753, 11, 129207, 128333, 653, 27924, 77374, 59735, 128981, 126469, 132037, 128560, 86139, 129742, 128290, 220, 17, 15, 16, 17, 79668, 128980, 128366, 77374, 134375, 128290, 220, 17, 15, 16, 18, 624, 41887, 125115, 128757, 128292, 128812, 11, 129481, 128886, 25798, 128812, 128292, 128553, 624, 33, 27021, 129623, 128270, 11, 73061, 8065, 129018, 133314, 16619, 126175, 128268, 28776, 128784, 128333, 130623, 39339, 595, 20868, 128812, 2600, 133827, 133218, 129677, 47742, 50327, 125017, 128425, 11, 73061, 8065, 64061, 128974, 133314, 16619, 126175, 128336, 128283, 132382, 128757, 128292, 128812, 47742, 129481, 128886, 25798, 128812, 128292, 128553, 128421, 128250, 128292, 97832, 37915, 390, 11, 976, 11, 136291, 653, 78228, 126469, 132037, 128560, 129372, 128424, 132645, 129852, 128279, 141753, 131579, 128556, 85636, 69086, 128367, 137297, 136625, 489, 2185, 128396, 64061, 128974, 624, 51, 127845, 133314, 16619, 126175, 128267, 128376, 130623, 39339, 128304, 220, 18, 23, 22, 129077, 128329, 2600, 133827, 133218, 129677, 47742, 50327, 125017, 128425, 128336, 128283, 128376, 293, 14926, 128292, 128812, 2600, 131431, 386, 125139, 2477, 220, 16, 24, 14, 20, 47742, 78228, 128331, 489, 2185, 128292, 132175, 92430, 320, 71, 82026, 128880, 7946, 128290, 128292, 220, 17, 15, 16, 16, 220, 220, 17, 15, 16, 17, 47742, 125440, 128290, 128292, 220, 17, 15, 16, 17, 220, 220, 17, 15, 16, 18, 8, 47742, 129481, 128886, 128292, 128553, 128421, 128250, 128292, 97832, 11, 97832, 97483, 128348, 128292, 128272, 128331, 489, 2185, 128292, 128744, 128386, 11, 2162, 78, 136338, 11, 128479, 128292, 47742, 132856, 132197, 624, 45, 3346, 52551, 15122, 11, 128376, 130623, 39339, 128304, 220, 16, 15, 20, 129077, 128329, 2600, 73061, 8065, 64061, 128974, 133314, 16619, 126175, 128376, 293, 14926, 128292, 128812, 2600, 128376, 128292, 296, 125139, 2477, 320, 376, 124185, 131431, 386, 125139, 2477, 220, 16, 24, 14, 20, 701, 132037, 128292, 11, 489, 2185, 128292, 128322, 128760, 320, 71, 82026, 128880, 7946, 128290, 128292, 220, 17, 15, 16, 16, 220, 220, 17, 15, 16, 17, 47742, 125440, 128290, 128292, 220, 17, 15, 16, 17, 220, 220, 17, 15, 16, 18, 4292, 26067, 71, 132690, 624, 51, 258, 128542, 922, 276, 510, 38, 69611, 220, 16, 16, 129427, 128329, 141718, 126469, 132037, 128560, 69086, 128367, 137297, 136625, 133314, 16619, 126175, 624, 40225, 97516, 128515, 128279, 137297, 2600, 78228, 132037, 128560, 136625, 133314, 16619, 126175, 624, 2183, 135076, 16619, 126175, 132382, 11, 128757, 128292, 128812, 2600, 390, 976, 132037, 128560, 136625, 489, 2185, 128396, 624, 2183, 124428, 16619, 126175, 129481, 128886, 129302, 390, 132037, 128560, 32154, 128367, 137297, 136625, 624, 2183, 124428, 16619, 126175, 25, 137408, 489, 2185, 133713, 128333, 129169, 128480, 78228, 132037, 128560, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2183, 124428, 16619, 126175, 129481, 128886, 134375, 2600, 132037, 128560, 128279, 141753, 131579, 69086, 128367, 137297, 136625, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 73061, 8065, 129018, 133314, 16619, 126175, 128727, 28776, 98127, 128854, 129481, 128886, 128265, 134375, 128421, 128250, 78228, 126469, 132037, 128560, 128279, 141753, 131579, 653, 143225, 64, 11386, 49886, 128300, 220, 24, 14, 17, 14, 17, 15, 16, 17, 624, 47978, 88602, 64061, 136625, 139511, 11, 128888, 128597, 78228, 128444, 128597, 326, 9574, 11, 274, 127432, 128319, 128356, 79668, 136625, 139511, 308, 9917, 71, 131827, 73586, 86139, 128623, 128285, 133713, 128333, 624, 785, 78, 128270, 11, 129018, 133314, 16619, 126175, 128267, 53037, 77374, 134375, 130929, 128601, 128290, 220, 17, 15, 16, 17, 59735, 78228, 126469, 132037, 128560, 128279, 141753, 131579, 653, 143225, 64, 11386, 49886, 128300, 220, 24, 14, 17, 14, 17, 15, 16, 17, 13, 134914, 128250, 78228, 126469, 132037, 128560, 79126, 143281, 11, 356, 92704, 35892, 26068, 129018, 133314, 16619, 126175, 128267, 98127, 128854, 33282, 138831, 35892, 26068, 64061, 128974, 133314, 16619, 126175, 128980, 98896, 95082, 279, 78, 128981, 126469, 11, 65526, 134375, 79126, 143281, 11, 130506, 133827, 134352, 128311, 129822, 128319, 11, 128361, 73061, 8065, 129018, 128784, 128333, 128643, 129477, 624, 40225, 87939, 128250, 134375, 128309, 128466, 94995, 128529, 11, 78228, 126469, 132037, 128560, 128279, 141753, 131579, 128556, 85636, 128424, 128884, 595, 20868, 653, 27924, 32154, 128367, 143225, 64, 11386, 49886, 128651, 129207, 128333, 63478, 126370, 130179, 595, 20868, 653, 27924, 79668, 128439, 134375, 13, 73061, 8065, 129018, 133314, 16619, 126175, 342, 22516, 356, 92704, 35892, 26068, 129018, 98127, 128854, 33282, 138831, 35892, 26068, 64061, 128974, 133314, 16619, 126175, 279, 78, 136753, 11, 129207, 128333, 653, 27924, 77374, 59735, 128981, 126469, 132037, 128560, 86139, 129742, 128290, 220, 17, 15, 16, 17, 79668, 128980, 128366, 77374, 134375, 128290, 220, 17, 15, 16, 18, 624, 41887, 125115, 128757, 128292, 128812, 11, 129481, 128886, 25798, 128812, 128292, 128553, 624, 33, 27021, 129623, 128270, 11, 73061, 8065, 129018, 133314, 16619, 126175, 128268, 28776, 128784, 128333, 130623, 39339, 595, 20868, 128812, 2600, 133827, 133218, 129677, 47742, 50327, 125017, 128425, 11, 73061, 8065, 64061, 128974, 133314, 16619, 126175, 128336, 128283, 132382, 128757, 128292, 128812, 47742, 129481, 128886, 25798, 128812, 128292, 128553, 128421, 128250, 128292, 97832, 37915, 390, 11, 976, 11, 136291, 653, 78228, 126469, 132037, 128560, 129372, 128424, 132645, 129852, 128279, 141753, 131579, 128556, 85636, 69086, 128367, 137297, 136625, 489, 2185, 128396, 64061, 128974, 624, 51, 127845, 133314, 16619, 126175, 128267, 128376, 130623, 39339, 128304, 220, 18, 23, 22, 129077, 128329, 2600, 133827, 133218, 129677, 47742, 50327, 125017, 128425, 128336, 128283, 128376, 293, 14926, 128292, 128812, 2600, 131431, 386, 125139, 2477, 220, 16, 24, 14, 20, 47742, 78228, 128331, 489, 2185, 128292, 132175, 92430, 320, 71, 82026, 128880, 7946, 128290, 128292, 220, 17, 15, 16, 16, 220, 220, 17, 15, 16, 17, 47742, 125440, 128290, 128292, 220, 17, 15, 16, 17, 220, 220, 17, 15, 16, 18, 8, 47742, 129481, 128886, 128292, 128553, 128421, 128250, 128292, 97832, 11, 97832, 97483, 128348, 128292, 128272, 128331, 489, 2185, 128292, 128744, 128386, 11, 2162, 78, 136338, 11, 128479, 128292, 47742, 132856, 132197, 624, 45, 3346, 52551, 15122, 11, 128376, 130623, 39339, 128304, 220, 16, 15, 20, 129077, 128329, 2600, 73061, 8065, 64061, 128974, 133314, 16619, 126175, 128376, 293, 14926, 128292, 128812, 2600, 128376, 128292, 296, 125139, 2477, 320, 376, 124185, 131431, 386, 125139, 2477, 220, 16, 24, 14, 20, 701, 132037, 128292, 11, 489, 2185, 128292, 128322, 128760, 320, 71, 82026, 128880, 7946, 128290, 128292, 220, 17, 15, 16, 16, 220, 220, 17, 15, 16, 17, 47742, 125440, 128290, 128292, 220, 17, 15, 16, 17, 220, 220, 17, 15, 16, 18, 4292, 26067, 71, 132690, 624, 51, 258, 128542, 922, 276, 510, 38, 69611, 220, 16, 16, 129427, 128329, 141718, 126469, 132037, 128560, 69086, 128367, 137297, 136625, 133314, 16619, 126175, 624, 40225, 97516, 128515, 128279, 137297, 2600, 78228, 132037, 128560, 136625, 133314, 16619, 126175, 624, 2183, 135076, 16619, 126175, 132382, 11, 128757, 128292, 128812, 2600, 390, 976, 132037, 128560, 136625, 489, 2185, 128396, 624, 2183, 124428, 16619, 126175, 129481, 128886, 129302, 390, 132037, 128560, 32154, 128367, 137297, 136625, 624, 2183, 124428, 16619, 126175, 25, 137408, 489, 2185, 133713, 128333, 129169, 128480, 78228, 132037, 128560, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694 ]
695
[ 39, 71431, 128886, 220, 17, 18, 13, 15, 24, 15, 133270, 143692, 2600, 128394, 128880, 13535, 125478, 134761, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 98127, 128854, 129029, 134352, 128311, 128415, 220, 17, 18, 13, 15, 24, 15, 133270, 143692, 94576, 129738, 126258, 141207, 128664, 94995, 129481, 128886, 2600, 128310, 128394, 78228, 128704, 128675, 69086, 137789, 136832, 132019, 14854, 11390, 2980, 71, 422, 69611, 47742, 128327, 128880, 13535, 125478, 134761, 128278, 128290, 220, 17, 15, 16, 15, 624, 50, 27607, 143692, 128273, 63478, 129481, 128886, 2600, 220, 24, 129018, 25, 133314, 29974, 220, 18, 13, 20, 15, 15, 133270, 11, 133314, 129336, 220, 17, 13, 15, 15, 15, 133270, 11, 444, 125017, 356, 2143, 220, 17, 15, 15, 133270, 11, 663, 27924, 140304, 220, 17, 13, 20, 15, 15, 133270, 11, 133314, 1163, 35928, 220, 16, 13, 20, 15, 15, 133270, 26, 130751, 138902, 220, 22, 13, 15, 17, 15, 133270, 26, 138770, 1527, 220, 19, 13, 17, 15, 15, 133270, 26, 130726, 730, 49886, 220, 16, 22, 15, 133270, 26, 133314, 16619, 126175, 220, 17, 13, 15, 15, 15, 133270, 13, 73061, 8065, 78228, 129018, 128424, 128370, 65526, 143692, 128273, 28776, 131368, 129414, 129270, 128356, 47742, 129481, 128886, 137288, 128327, 11, 129315, 128421, 129014, 13, 140593, 20165, 524, 320, 143505, 25, 3406, 88, 51580, 128333, 220, 16, 21, 20, 11, 220, 16, 22, 18, 45274, 40225, 9285, 51, 70, 4292, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39, 71431, 128886, 220, 17, 18, 13, 15, 24, 15, 133270, 143692, 2600, 128394, 128880, 13535, 125478, 134761, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 130390, 131943, 129591, 130388, 128727, 98127, 128854, 129029, 134352, 128311, 128415, 220, 17, 18, 13, 15, 24, 15, 133270, 143692, 94576, 129738, 126258, 141207, 128664, 94995, 129481, 128886, 2600, 128310, 128394, 78228, 128704, 128675, 69086, 137789, 136832, 132019, 14854, 11390, 2980, 71, 422, 69611, 47742, 128327, 128880, 13535, 125478, 134761, 128278, 128290, 220, 17, 15, 16, 15, 624, 50, 27607, 143692, 128273, 63478, 129481, 128886, 2600, 220, 24, 129018, 25, 133314, 29974, 220, 18, 13, 20, 15, 15, 133270, 11, 133314, 129336, 220, 17, 13, 15, 15, 15, 133270, 11, 444, 125017, 356, 2143, 220, 17, 15, 15, 133270, 11, 663, 27924, 140304, 220, 17, 13, 20, 15, 15, 133270, 11, 133314, 1163, 35928, 220, 16, 13, 20, 15, 15, 133270, 26, 130751, 138902, 220, 22, 13, 15, 17, 15, 133270, 26, 138770, 1527, 220, 19, 13, 17, 15, 15, 133270, 26, 130726, 730, 49886, 220, 16, 22, 15, 133270, 26, 133314, 16619, 126175, 220, 17, 13, 15, 15, 15, 133270, 13, 73061, 8065, 78228, 129018, 128424, 128370, 65526, 143692, 128273, 28776, 131368, 129414, 129270, 128356, 47742, 129481, 128886, 137288, 128327, 11, 129315, 128421, 129014, 13, 140593, 20165, 524, 320, 143505, 25, 3406, 88, 51580, 128333, 220, 16, 21, 20, 11, 220, 16, 22, 18, 45274, 40225, 9285, 51, 70, 4292, 151645 ]
[ 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
[ 3357, 1794, 130390, 131943, 130597, 1163, 2185, 131039, 129233, 342, 125726, 78228, 653, 27924, 128386, 38396, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 1163, 644, 132214, 129233, 342, 125726, 11, 128300, 220, 24, 14, 24, 11, 128250, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 47742, 138120, 62029, 128400, 129591, 130388, 128324, 29974, 128348, 133171, 128311, 128482, 6826, 38396, 11, 78228, 653, 27924, 128386, 38396, 128582, 521, 2185, 128370, 128333, 11, 130544, 71800, 128328, 128265, 128704, 128356, 11, 5492, 28776, 128271, 141673, 128365, 11, 128322, 128410, 128319, 128400, 129181, 653, 27924, 128386, 46051, 128608, 624, 48138, 78, 128726, 128250, 78228, 653, 27924, 128386, 38396, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 308, 124634, 128249, 65526, 135437, 128311, 128265, 141673, 128365, 47742, 128459, 128361, 128362, 128531, 595, 20868, 128384, 128365, 128285, 59735, 128324, 29974, 11, 128406, 128263, 128319, 128400, 128278, 128379, 131768, 128653, 61758, 128278, 128250, 128249, 126260, 128331, 128394, 65526, 128465, 11, 129738, 128310, 128599, 128634, 294, 125058, 294, 125017, 13, 128324, 29974, 128268, 37915, 129137, 7777, 11151, 59735, 127980, 128978, 47742, 28776, 128444, 128597, 128704, 128356, 131678, 128994, 79668, 128319, 128400, 128362, 128531, 595, 20868, 128384, 11, 128278, 128379, 11, 128560, 131537, 128250, 78228, 128301, 13, 133761, 130390, 131943, 137429, 128818, 134666, 922, 276, 128457, 129347, 130097, 11, 129986, 128290, 129181, 46051, 128301, 47742, 2600, 128640, 11, 132122, 128978, 128319, 128400, 595, 20868, 128384, 481, 128560, 131537, 220, 128278, 128379, 129181, 46051, 128301, 128320, 128323, 94994, 38830, 259, 125044, 11, 128651, 129509, 856, 124656, 128250, 141673, 128365, 46051, 128608, 13, 128324, 29974, 74542, 128491, 133600, 132668, 128319, 128400, 128319, 128400, 46051, 128301, 11, 128788, 128589, 69086, 78228, 132122, 128978, 38396, 28776, 128314, 128818, 128260, 132601, 85636, 11, 62029, 128781, 92430, 24790, 11, 128751, 128871, 72067, 124397, 85636, 47742, 128365, 128375, 135578, 128425, 47742, 128267, 128425, 128728, 128334, 129065, 131678, 128994, 2600, 78228, 653, 27924, 128386, 38396, 128278, 128379, 11, 595, 20868, 653, 27924, 128272, 128324, 29974, 13, 129029, 129528, 730, 20868, 128384, 38396, 1644, 7751, 71360, 35094, 277, 930, 128268, 2600, 128640, 28776, 128271, 135437, 129509, 128329, 69086, 141673, 128365, 595, 20868, 128384, 46051, 128301, 128260, 128340, 128846, 15122, 595, 20868, 128384, 130027, 11, 132601, 138650, 85636, 130889, 39486, 129659, 922, 276, 128550, 69086, 129427, 128550, 128415, 97610, 130244, 37915, 128253, 132122, 128978, 46051, 128608, 28776, 128254, 489, 3441, 128726, 11, 128319, 128400, 23165, 2143, 133457, 128418, 128304, 69086, 132122, 128978, 128271, 141673, 128365, 96535, 13, 130798, 32478, 72, 328, 13, 32478, 1497, 11, 130017, 133804, 133796, 137408, 129675, 5776, 359, 355, 2600, 128345, 11, 128370, 128391, 141673, 128365, 94576, 129857, 132601, 85636, 128324, 29974, 11, 137408, 129675, 96535, 128727, 296, 4284, 128249, 128275, 128392, 128751, 128871, 58701, 9586, 128269, 128324, 29974, 128268, 128260, 128348, 128611, 130158, 78228, 128322, 128410, 79668, 128340, 131072, 128463, 128362, 128531, 135268, 135584, 129857, 132601, 85636, 128324, 29974, 13, 128324, 29974, 128323, 28776, 141673, 128365, 69086, 132122, 128978, 132601, 138650, 85636, 128250, 85636, 128375, 220, 19, 129077, 133270, 9612, 77354, 11, 128344, 126370, 130179, 11, 128675, 128482, 23165, 2143, 133457, 28776, 128254, 128529, 128622, 128725, 129470, 128284, 62029, 128781, 23165, 2143, 133457, 11, 128751, 128871, 62029, 128386, 128260, 59735, 38396, 11, 128436, 32478, 1497, 128339, 13, 38396, 28776, 129188, 133465, 128826, 58701, 128283, 128479, 86139, 128433, 128281, 128314, 128449, 11, 61758, 128290, 128826, 128802, 128273, 220, 16, 11, 20, 129077, 133270, 58701, 78228, 128433, 47742, 58701, 136514, 220, 20, 15, 4, 128375, 128415, 97610, 61758, 128585, 61758, 128290, 13, 130017, 133804, 133796, 137408, 129675, 26832, 276, 13411, 328, 586, 6130, 39102, 9603, 29931, 128268, 2600, 128345, 134666, 922, 276, 128396, 69086, 128289, 128319, 128400, 128278, 128379, 78228, 129738, 128365, 128375, 135578, 128425, 13, 38396, 37915, 128301, 28776, 62029, 128781, 85636, 128415, 128484, 128704, 130884, 61758, 128278, 128314, 128449, 13, 129005, 65526, 128275, 128278, 128379, 128268, 922, 276, 128396, 128611, 129061, 141673, 128365, 128319, 128400, 3845, 128717, 11, 131912, 128425, 129270, 128356, 11, 128556, 128311, 11, 128250, 128324, 29974, 13, 132743, 308, 352, 11, 38396, 128268, 28776, 128249, 65526, 62029, 13580, 79126, 128278, 128379, 128475, 129367, 128683, 128441, 128479, 129054, 128272, 128324, 29974, 128260, 386, 30431, 11, 26832, 276, 11, 3218, 22354, 11, 68946, 40785, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 11386, 276, 124414, 5498, 16719, 128289, 653, 27924, 128386, 38396, 128263, 128278, 128379, 11, 595, 20868, 653, 27924, 128272, 128324, 29974, 11, 136732, 128333, 129591, 130388, 128787, 128425, 128334, 129065, 129597, 128907, 11, 1062, 72, 64061, 62029, 59735, 128275, 128278, 128379, 37915, 64061, 62029, 59735, 128311, 128312, 13, 139602, 128300, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 79126, 128263, 133171, 129645, 128392, 128704, 130884, 128484, 23887, 285, 383, 12278, 130668, 128269, 129854, 141567, 16449, 38396, 13, 130244, 37915, 128275, 128392, 128704, 130884, 128484, 28776, 126370, 130179, 128465, 128720, 46051, 128273, 128314, 128449, 11, 130668, 128273, 220, 18, 7777, 79823, 136192, 136337, 79126, 139474, 128623, 128285, 128328, 128358, 61758, 521, 92704, 142876, 128290, 13, 129645, 128392, 28776, 129363, 128365, 130925, 128740, 141580, 128451, 128322, 128450, 128265, 128484, 47742, 128301, 131484, 79668, 274, 124885, 72, 128272, 78228, 127980, 128978, 62029, 128386, 47742, 128394, 129447, 130390, 130287, 48212, 74, 61459, 1579, 128250, 85636, 128375, 128484, 37915, 220, 17, 16, 18, 386, 1654, 9612, 77354, 47742, 126258, 128935, 128267, 94995, 128529, 85636, 128375, 128484, 128350, 220, 18, 15, 15, 44482, 47742, 128365, 128375, 130884, 128484, 128350, 220, 19, 15, 15, 44482, 13, 328, 38715, 128913, 133795, 134383, 59735, 128275, 128392, 128704, 130884, 128484, 23887, 285, 383, 12278, 128949, 9805, 71, 128623, 13, 386, 92704, 134569, 128845, 15122, 37915, 128401, 128366, 129738, 128484, 128353, 128284, 128267, 128845, 128272, 136977, 128275, 489, 2185, 128396, 11, 78228, 128366, 134851, 85636, 128415, 128484, 128267, 37915, 128253, 128366, 134851, 129703, 128980, 856, 2185, 922, 27924, 136977, 128275, 128311, 13, 444, 84455, 136977, 128275, 489, 2185, 128396, 128266, 272, 94313, 296, 124504, 11, 78228, 128441, 85636, 128415, 128484, 128267, 922, 352, 128265, 128846, 16449, 11, 128320, 128275, 128392, 85636, 128415, 128301, 131484, 128267, 922, 352, 128265, 129854, 293, 124431, 13, 386, 9574, 128338, 128275, 128392, 128484, 63478, 1062, 72, 37915, 128323, 128672, 130509, 128250, 129991, 128331, 96535, 63478, 138120, 129591, 130388, 128324, 29974, 922, 276, 128396, 94994, 128580, 128456, 128365, 128375, 92105, 47742, 135578, 128425, 128348, 63478, 128324, 29974, 130483, 128924, 128362, 128531, 11, 128788, 128589, 37915, 94576, 128365, 128375, 128704, 130884, 320, 18, 15, 15, 129738, 128301, 72067, 124397, 131484, 94576, 220, 18, 15, 12, 16, 15, 20, 128368, 701, 128387, 130868, 320, 17, 15, 15, 15, 12, 17, 20, 15, 15, 128626, 136583, 9612, 77354, 701, 135963, 11, 97832, 135836, 320, 83, 124185, 133105, 11, 140845, 72, 11, 435, 38715, 76, 11, 435, 29341, 11, 128877, 79479, 132234, 128386, 11, 129019, 97832, 128292, 28675, 83, 124185, 220, 19, 18, 12, 19, 21, 129077, 5146, 36, 9612, 77354, 701, 28776, 141207, 128375, 79670, 2356, 129281, 129240, 489, 2185, 128823, 128273, 128314, 128449, 13, 132019, 8564, 71, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3357, 1794, 130390, 131943, 130597, 1163, 2185, 131039, 129233, 342, 125726, 78228, 653, 27924, 128386, 38396, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 1163, 644, 132214, 129233, 342, 125726, 11, 128300, 220, 24, 14, 24, 11, 128250, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 47742, 138120, 62029, 128400, 129591, 130388, 128324, 29974, 128348, 133171, 128311, 128482, 6826, 38396, 11, 78228, 653, 27924, 128386, 38396, 128582, 521, 2185, 128370, 128333, 11, 130544, 71800, 128328, 128265, 128704, 128356, 11, 5492, 28776, 128271, 141673, 128365, 11, 128322, 128410, 128319, 128400, 129181, 653, 27924, 128386, 46051, 128608, 624, 48138, 78, 128726, 128250, 78228, 653, 27924, 128386, 38396, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 308, 124634, 128249, 65526, 135437, 128311, 128265, 141673, 128365, 47742, 128459, 128361, 128362, 128531, 595, 20868, 128384, 128365, 128285, 59735, 128324, 29974, 11, 128406, 128263, 128319, 128400, 128278, 128379, 131768, 128653, 61758, 128278, 128250, 128249, 126260, 128331, 128394, 65526, 128465, 11, 129738, 128310, 128599, 128634, 294, 125058, 294, 125017, 13, 128324, 29974, 128268, 37915, 129137, 7777, 11151, 59735, 127980, 128978, 47742, 28776, 128444, 128597, 128704, 128356, 131678, 128994, 79668, 128319, 128400, 128362, 128531, 595, 20868, 128384, 11, 128278, 128379, 11, 128560, 131537, 128250, 78228, 128301, 13, 133761, 130390, 131943, 137429, 128818, 134666, 922, 276, 128457, 129347, 130097, 11, 129986, 128290, 129181, 46051, 128301, 47742, 2600, 128640, 11, 132122, 128978, 128319, 128400, 595, 20868, 128384, 481, 128560, 131537, 220, 128278, 128379, 129181, 46051, 128301, 128320, 128323, 94994, 38830, 259, 125044, 11, 128651, 129509, 856, 124656, 128250, 141673, 128365, 46051, 128608, 13, 128324, 29974, 74542, 128491, 133600, 132668, 128319, 128400, 128319, 128400, 46051, 128301, 11, 128788, 128589, 69086, 78228, 132122, 128978, 38396, 28776, 128314, 128818, 128260, 132601, 85636, 11, 62029, 128781, 92430, 24790, 11, 128751, 128871, 72067, 124397, 85636, 47742, 128365, 128375, 135578, 128425, 47742, 128267, 128425, 128728, 128334, 129065, 131678, 128994, 2600, 78228, 653, 27924, 128386, 38396, 128278, 128379, 11, 595, 20868, 653, 27924, 128272, 128324, 29974, 13, 129029, 129528, 730, 20868, 128384, 38396, 1644, 7751, 71360, 35094, 277, 930, 128268, 2600, 128640, 28776, 128271, 135437, 129509, 128329, 69086, 141673, 128365, 595, 20868, 128384, 46051, 128301, 128260, 128340, 128846, 15122, 595, 20868, 128384, 130027, 11, 132601, 138650, 85636, 130889, 39486, 129659, 922, 276, 128550, 69086, 129427, 128550, 128415, 97610, 130244, 37915, 128253, 132122, 128978, 46051, 128608, 28776, 128254, 489, 3441, 128726, 11, 128319, 128400, 23165, 2143, 133457, 128418, 128304, 69086, 132122, 128978, 128271, 141673, 128365, 96535, 13, 130798, 32478, 72, 328, 13, 32478, 1497, 11, 130017, 133804, 133796, 137408, 129675, 5776, 359, 355, 2600, 128345, 11, 128370, 128391, 141673, 128365, 94576, 129857, 132601, 85636, 128324, 29974, 11, 137408, 129675, 96535, 128727, 296, 4284, 128249, 128275, 128392, 128751, 128871, 58701, 9586, 128269, 128324, 29974, 128268, 128260, 128348, 128611, 130158, 78228, 128322, 128410, 79668, 128340, 131072, 128463, 128362, 128531, 135268, 135584, 129857, 132601, 85636, 128324, 29974, 13, 128324, 29974, 128323, 28776, 141673, 128365, 69086, 132122, 128978, 132601, 138650, 85636, 128250, 85636, 128375, 220, 19, 129077, 133270, 9612, 77354, 11, 128344, 126370, 130179, 11, 128675, 128482, 23165, 2143, 133457, 28776, 128254, 128529, 128622, 128725, 129470, 128284, 62029, 128781, 23165, 2143, 133457, 11, 128751, 128871, 62029, 128386, 128260, 59735, 38396, 11, 128436, 32478, 1497, 128339, 13, 38396, 28776, 129188, 133465, 128826, 58701, 128283, 128479, 86139, 128433, 128281, 128314, 128449, 11, 61758, 128290, 128826, 128802, 128273, 220, 16, 11, 20, 129077, 133270, 58701, 78228, 128433, 47742, 58701, 136514, 220, 20, 15, 4, 128375, 128415, 97610, 61758, 128585, 61758, 128290, 13, 130017, 133804, 133796, 137408, 129675, 26832, 276, 13411, 328, 586, 6130, 39102, 9603, 29931, 128268, 2600, 128345, 134666, 922, 276, 128396, 69086, 128289, 128319, 128400, 128278, 128379, 78228, 129738, 128365, 128375, 135578, 128425, 13, 38396, 37915, 128301, 28776, 62029, 128781, 85636, 128415, 128484, 128704, 130884, 61758, 128278, 128314, 128449, 13, 129005, 65526, 128275, 128278, 128379, 128268, 922, 276, 128396, 128611, 129061, 141673, 128365, 128319, 128400, 3845, 128717, 11, 131912, 128425, 129270, 128356, 11, 128556, 128311, 11, 128250, 128324, 29974, 13, 132743, 308, 352, 11, 38396, 128268, 28776, 128249, 65526, 62029, 13580, 79126, 128278, 128379, 128475, 129367, 128683, 128441, 128479, 129054, 128272, 128324, 29974, 128260, 386, 30431, 11, 26832, 276, 11, 3218, 22354, 11, 68946, 40785, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 11386, 276, 124414, 5498, 16719, 128289, 653, 27924, 128386, 38396, 128263, 128278, 128379, 11, 595, 20868, 653, 27924, 128272, 128324, 29974, 11, 136732, 128333, 129591, 130388, 128787, 128425, 128334, 129065, 129597, 128907, 11, 1062, 72, 64061, 62029, 59735, 128275, 128278, 128379, 37915, 64061, 62029, 59735, 128311, 128312, 13, 139602, 128300, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 79126, 128263, 133171, 129645, 128392, 128704, 130884, 128484, 23887, 285, 383, 12278, 130668, 128269, 129854, 141567, 16449, 38396, 13, 130244, 37915, 128275, 128392, 128704, 130884, 128484, 28776, 126370, 130179, 128465, 128720, 46051, 128273, 128314, 128449, 11, 130668, 128273, 220, 18, 7777, 79823, 136192, 136337, 79126, 139474, 128623, 128285, 128328, 128358, 61758, 521, 92704, 142876, 128290, 13, 129645, 128392, 28776, 129363, 128365, 130925, 128740, 141580, 128451, 128322, 128450, 128265, 128484, 47742, 128301, 131484, 79668, 274, 124885, 72, 128272, 78228, 127980, 128978, 62029, 128386, 47742, 128394, 129447, 130390, 130287, 48212, 74, 61459, 1579, 128250, 85636, 128375, 128484, 37915, 220, 17, 16, 18, 386, 1654, 9612, 77354, 47742, 126258, 128935, 128267, 94995, 128529, 85636, 128375, 128484, 128350, 220, 18, 15, 15, 44482, 47742, 128365, 128375, 130884, 128484, 128350, 220, 19, 15, 15, 44482, 13, 328, 38715, 128913, 133795, 134383, 59735, 128275, 128392, 128704, 130884, 128484, 23887, 285, 383, 12278, 128949, 9805, 71, 128623, 13, 386, 92704, 134569, 128845, 15122, 37915, 128401, 128366, 129738, 128484, 128353, 128284, 128267, 128845, 128272, 136977, 128275, 489, 2185, 128396, 11, 78228, 128366, 134851, 85636, 128415, 128484, 128267, 37915, 128253, 128366, 134851, 129703, 128980, 856, 2185, 922, 27924, 136977, 128275, 128311, 13, 444, 84455, 136977, 128275, 489, 2185, 128396, 128266, 272, 94313, 296, 124504, 11, 78228, 128441, 85636, 128415, 128484, 128267, 922, 352, 128265, 128846, 16449, 11, 128320, 128275, 128392, 85636, 128415, 128301, 131484, 128267, 922, 352, 128265, 129854, 293, 124431, 13, 386, 9574, 128338, 128275, 128392, 128484, 63478, 1062, 72, 37915, 128323, 128672, 130509, 128250, 129991, 128331, 96535, 63478, 138120, 129591, 130388, 128324, 29974, 922, 276, 128396, 94994, 128580, 128456, 128365, 128375, 92105, 47742, 135578, 128425, 128348, 63478, 128324, 29974, 130483, 128924, 128362, 128531, 11, 128788, 128589, 37915, 94576, 128365, 128375, 128704, 130884, 320, 18, 15, 15, 129738, 128301, 72067, 124397, 131484, 94576, 220, 18, 15, 12, 16, 15, 20, 128368, 701, 128387, 130868, 320, 17, 15, 15, 15, 12, 17, 20, 15, 15, 128626, 136583, 9612, 77354, 701, 135963, 11, 97832, 135836, 320, 83, 124185, 133105, 11, 140845, 72, 11, 435, 38715, 76, 11, 435, 29341, 11, 128877, 79479, 132234, 128386, 11, 129019, 97832, 128292, 28675, 83, 124185, 220, 19, 18, 12, 19, 21, 129077, 5146, 36, 9612, 77354, 701, 28776, 141207, 128375, 79670, 2356, 129281, 129240, 489, 2185, 128823, 128273, 128314, 128449, 13, 132019, 8564, 71, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129 ]
1,130
[ 142899, 28776, 128289, 348, 352, 130498, 59070, 79668, 128486, 128784, 138178, 135429, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 1163, 21742, 128814, 1319, 85142, 968, 128580, 356, 60257, 968, 130303, 24790, 128484, 128804, 129591, 130388, 131149, 220, 22, 14, 24, 11, 133761, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128324, 29974, 131699, 92155, 139203, 79126, 136732, 128333, 128334, 96535, 624, 3357, 1794, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128324, 29974, 131699, 92155, 139203, 624, 3357, 1794, 663, 89208, 133796, 131699, 92155, 139203, 25, 133884, 128906, 11, 34831, 9745, 136732, 128333, 53037, 28776, 128289, 128324, 29974, 348, 352, 17669, 28776, 128431, 128333, 348, 352, 130498, 59735, 59070, 79668, 129888, 128356, 138178, 135429, 13, 1163, 644, 128271, 128290, 73525, 11, 129591, 130388, 128324, 29974, 128787, 141839, 132630, 922, 276, 128457, 137277, 521, 124760, 11, 128418, 128501, 128250, 59070, 92430, 73525, 78228, 128623, 128285, 128421, 129752, 11, 128379, 128580, 128311, 95082, 47742, 128651, 128981, 132972, 129748, 128250, 59070, 128542, 922, 276, 128263, 128289, 128424, 136855, 129738, 129913, 128284, 59735, 59070, 624, 55, 258, 128436, 2600, 128345, 128283, 308, 352, 128324, 29974, 28776, 141580, 128451, 128360, 128282, 348, 352, 130498, 59735, 59070, 17669, 53037, 5267, 3357, 1794, 663, 89208, 133796, 131699, 92155, 139203, 25, 1163, 644, 46051, 128300, 220, 21, 12, 22, 14, 24, 14, 17, 15, 16, 17, 11, 128436, 41492, 5016, 573, 440, 220, 1163, 124886, 129675, 663, 309, 128580, 130406, 16824, 130406, 130554, 3406, 125093, 59735, 59070, 128877, 131368, 128324, 29974, 79126, 128263, 128324, 29974, 79668, 139548, 128847, 342, 22516, 47742, 128449, 132786, 128273, 272, 85375, 128444, 92105, 13, 130798, 41492, 79126, 129477, 128814, 1319, 85142, 968, 128580, 59735, 128249, 65526, 128322, 922, 276, 129045, 92430, 128265, 128419, 128338, 595, 20868, 128384, 128324, 29974, 47742, 128930, 15122, 128249, 65526, 135984, 130097, 128311, 95082, 624, 79759, 126368, 521, 2185, 11, 59070, 79126, 128930, 15122, 128253, 128826, 128309, 128761, 129541, 128265, 128419, 128338, 595, 20868, 128384, 128283, 128272, 11, 128826, 128309, 2162, 78, 64061, 128377, 84, 128311, 95082, 59735, 129591, 130388, 69086, 128249, 128290, 73525, 11, 128788, 128589, 37915, 128423, 128432, 128334, 128373, 128311, 95082, 128515, 139091, 11, 130906, 305, 87939, 47742, 135578, 133795, 134383, 128457, 128573, 131538, 61758, 13, 59070, 136732, 128333, 128787, 133691, 137968, 129481, 128886, 128324, 29974, 69086, 128459, 128361, 131867, 128328, 128457, 128573, 128556, 128311, 11, 131538, 61758, 92430, 73525, 78228, 129784, 128361, 128421, 129752, 128311, 95082, 128333, 128880, 47742, 78228, 129481, 128886, 129531, 128859, 59735, 59070, 11, 30544, 126200, 92430, 73525, 131786, 128361, 50327, 124415, 128309, 220, 143798, 77, 128333, 730, 16739, 128978, 134352, 128311, 320, 8485, 2537, 4292, 51271, 9745, 136732, 128333, 92430, 24790, 128324, 29974, 128421, 128387, 128250, 7777, 4076, 128322, 128282, 856, 258, 129156, 128886, 94576, 59070, 79668, 128486, 128784, 138178, 135429, 37915, 128643, 128401, 53037, 128311, 129207, 128378, 132222, 128356, 653, 624, 1001, 58812, 128281, 11, 129203, 134569, 2600, 348, 352, 59735, 59070, 37915, 128376, 129913, 128284, 2600, 78228, 128301, 28776, 128639, 130909, 139511, 128327, 128421, 128250, 132356, 130660, 1091, 71, 130051, 11, 129595, 37915, 94994, 128249, 128301, 53037, 28776, 129078, 129738, 128556, 128886, 2600, 1091, 71, 130051, 128664, 128384, 47742, 141839, 132630, 129078, 126258, 141207, 130906, 305, 87939, 2600, 129509, 1187, 72, 624, 1001, 58812, 46051, 11, 279, 78, 128826, 128309, 59735, 129591, 130388, 47742, 59070, 11, 128419, 128338, 595, 20868, 128384, 348, 124536, 130179, 128324, 29974, 128283, 308, 352, 79126, 28776, 128271, 128830, 128871, 128323, 128761, 129541, 279, 78, 128846, 133713, 128333, 11, 128788, 128589, 37915, 132356, 130660, 128560, 131537, 11, 348, 135076, 1187, 72, 47742, 132356, 130660, 129822, 128254, 129664, 129240, 270, 126011, 136525, 2162, 78, 11, 126258, 141207, 128664, 128384, 128529, 128818, 11, 98170, 24790, 59735, 126260, 128331, 47742, 62029, 128347, 63478, 272, 128042, 129234, 128818, 137125, 624, 1001, 58812, 12789, 11, 128273, 128336, 128384, 11, 94576, 128371, 128447, 308, 352, 11, 59070, 47742, 129591, 130388, 128324, 29974, 128651, 128981, 129030, 128447, 11, 128475, 28776, 128431, 128333, 132972, 129748, 128265, 128495, 130361, 59070, 128376, 129913, 128284, 2600, 128324, 29974, 13, 1163, 644, 293, 87939, 129111, 595, 20868, 128384, 348, 124536, 130179, 133713, 128333, 47742, 128415, 128362, 94576, 128253, 128811, 85536, 308, 124634, 128273, 11, 34831, 9745, 136732, 128333, 53037, 28776, 128356, 653, 128382, 128324, 29974, 128360, 128282, 128424, 136855, 129913, 128284, 59735, 59070, 624, 26067, 71, 129336, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 142899, 28776, 128289, 348, 352, 130498, 59070, 79668, 128486, 128784, 138178, 135429, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 1163, 21742, 128814, 1319, 85142, 968, 128580, 356, 60257, 968, 130303, 24790, 128484, 128804, 129591, 130388, 131149, 220, 22, 14, 24, 11, 133761, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128324, 29974, 131699, 92155, 139203, 79126, 136732, 128333, 128334, 96535, 624, 3357, 1794, 663, 89208, 133796, 138737, 61758, 129645, 128301, 128324, 29974, 131699, 92155, 139203, 624, 3357, 1794, 663, 89208, 133796, 131699, 92155, 139203, 25, 133884, 128906, 11, 34831, 9745, 136732, 128333, 53037, 28776, 128289, 128324, 29974, 348, 352, 17669, 28776, 128431, 128333, 348, 352, 130498, 59735, 59070, 79668, 129888, 128356, 138178, 135429, 13, 1163, 644, 128271, 128290, 73525, 11, 129591, 130388, 128324, 29974, 128787, 141839, 132630, 922, 276, 128457, 137277, 521, 124760, 11, 128418, 128501, 128250, 59070, 92430, 73525, 78228, 128623, 128285, 128421, 129752, 11, 128379, 128580, 128311, 95082, 47742, 128651, 128981, 132972, 129748, 128250, 59070, 128542, 922, 276, 128263, 128289, 128424, 136855, 129738, 129913, 128284, 59735, 59070, 624, 55, 258, 128436, 2600, 128345, 128283, 308, 352, 128324, 29974, 28776, 141580, 128451, 128360, 128282, 348, 352, 130498, 59735, 59070, 17669, 53037, 5267, 3357, 1794, 663, 89208, 133796, 131699, 92155, 139203, 25, 1163, 644, 46051, 128300, 220, 21, 12, 22, 14, 24, 14, 17, 15, 16, 17, 11, 128436, 41492, 5016, 573, 440, 220, 1163, 124886, 129675, 663, 309, 128580, 130406, 16824, 130406, 130554, 3406, 125093, 59735, 59070, 128877, 131368, 128324, 29974, 79126, 128263, 128324, 29974, 79668, 139548, 128847, 342, 22516, 47742, 128449, 132786, 128273, 272, 85375, 128444, 92105, 13, 130798, 41492, 79126, 129477, 128814, 1319, 85142, 968, 128580, 59735, 128249, 65526, 128322, 922, 276, 129045, 92430, 128265, 128419, 128338, 595, 20868, 128384, 128324, 29974, 47742, 128930, 15122, 128249, 65526, 135984, 130097, 128311, 95082, 624, 79759, 126368, 521, 2185, 11, 59070, 79126, 128930, 15122, 128253, 128826, 128309, 128761, 129541, 128265, 128419, 128338, 595, 20868, 128384, 128283, 128272, 11, 128826, 128309, 2162, 78, 64061, 128377, 84, 128311, 95082, 59735, 129591, 130388, 69086, 128249, 128290, 73525, 11, 128788, 128589, 37915, 128423, 128432, 128334, 128373, 128311, 95082, 128515, 139091, 11, 130906, 305, 87939, 47742, 135578, 133795, 134383, 128457, 128573, 131538, 61758, 13, 59070, 136732, 128333, 128787, 133691, 137968, 129481, 128886, 128324, 29974, 69086, 128459, 128361, 131867, 128328, 128457, 128573, 128556, 128311, 11, 131538, 61758, 92430, 73525, 78228, 129784, 128361, 128421, 129752, 128311, 95082, 128333, 128880, 47742, 78228, 129481, 128886, 129531, 128859, 59735, 59070, 11, 30544, 126200, 92430, 73525, 131786, 128361, 50327, 124415, 128309, 220, 143798, 77, 128333, 730, 16739, 128978, 134352, 128311, 320, 8485, 2537, 4292, 51271, 9745, 136732, 128333, 92430, 24790, 128324, 29974, 128421, 128387, 128250, 7777, 4076, 128322, 128282, 856, 258, 129156, 128886, 94576, 59070, 79668, 128486, 128784, 138178, 135429, 37915, 128643, 128401, 53037, 128311, 129207, 128378, 132222, 128356, 653, 624, 1001, 58812, 128281, 11, 129203, 134569, 2600, 348, 352, 59735, 59070, 37915, 128376, 129913, 128284, 2600, 78228, 128301, 28776, 128639, 130909, 139511, 128327, 128421, 128250, 132356, 130660, 1091, 71, 130051, 11, 129595, 37915, 94994, 128249, 128301, 53037, 28776, 129078, 129738, 128556, 128886, 2600, 1091, 71, 130051, 128664, 128384, 47742, 141839, 132630, 129078, 126258, 141207, 130906, 305, 87939, 2600, 129509, 1187, 72, 624, 1001, 58812, 46051, 11, 279, 78, 128826, 128309, 59735, 129591, 130388, 47742, 59070, 11, 128419, 128338, 595, 20868, 128384, 348, 124536, 130179, 128324, 29974, 128283, 308, 352, 79126, 28776, 128271, 128830, 128871, 128323, 128761, 129541, 279, 78, 128846, 133713, 128333, 11, 128788, 128589, 37915, 132356, 130660, 128560, 131537, 11, 348, 135076, 1187, 72, 47742, 132356, 130660, 129822, 128254, 129664, 129240, 270, 126011, 136525, 2162, 78, 11, 126258, 141207, 128664, 128384, 128529, 128818, 11, 98170, 24790, 59735, 126260, 128331, 47742, 62029, 128347, 63478, 272, 128042, 129234, 128818, 137125, 624, 1001, 58812, 12789, 11, 128273, 128336, 128384, 11, 94576, 128371, 128447, 308, 352, 11, 59070, 47742, 129591, 130388, 128324, 29974, 128651, 128981, 129030, 128447, 11, 128475, 28776, 128431, 128333, 132972, 129748, 128265, 128495, 130361, 59070, 128376, 129913, 128284, 2600, 128324, 29974, 13, 1163, 644, 293, 87939, 129111, 595, 20868, 128384, 348, 124536, 130179, 133713, 128333, 47742, 128415, 128362, 94576, 128253, 128811, 85536, 308, 124634, 128273, 11, 34831, 9745, 136732, 128333, 53037, 28776, 128356, 653, 128382, 128324, 29974, 128360, 128282, 128424, 136855, 129913, 128284, 59735, 59070, 624, 26067, 71, 129336, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701 ]
702
[ 51, 124185, 220, 17, 15, 14, 23, 11, 2600, 130224, 128435, 130003, 220, 22, 131501, 129480, 92430, 73525, 128451, 128324, 1163, 23531, 198, 51, 124185, 128300, 220, 17, 15, 14, 23, 11, 32154, 94994, 132038, 130489, 856, 644, 128267, 126341, 128502, 129036, 24743, 124483, 342, 22516, 92430, 2600, 130224, 128435, 130003, 521, 78820, 128251, 94576, 220, 22, 131501, 128570, 129630, 11, 82790, 128392, 11, 82790, 270, 9574, 129582, 129480, 92430, 73525, 128451, 128324, 1163, 23531, 624, 1143, 20868, 759, 84, 75157, 128930, 24790, 11, 130017, 138831, 136002, 128366, 97507, 2600, 130224, 129029, 11911, 20457, 128353, 128284, 129738, 130498, 3406, 125093, 132847, 132630, 128448, 128366, 1163, 2185, 220, 85375, 132038, 130489, 7777, 352, 78228, 136375, 143226, 128273, 128463, 128451, 130176, 2600, 128448, 128366, 59735, 128451, 128324, 1163, 23531, 11, 129018, 130751, 663, 41603, 128250, 595, 20868, 128812, 126258, 128935, 129168, 220, 16, 129427, 128329, 13, 132809, 342, 1103, 128336, 128283, 856, 644, 128371, 128300, 220, 17, 15, 14, 23, 624, 50, 2863, 94994, 132038, 130489, 856, 644, 128267, 126341, 128502, 129036, 24743, 124483, 342, 22516, 92430, 2600, 130224, 128435, 130003, 521, 78820, 128251, 94576, 220, 22, 131501, 128570, 129630, 11, 82790, 128392, 11, 82790, 270, 9574, 129582, 129480, 92430, 73525, 128451, 128324, 1163, 23531, 13, 128678, 128435, 130003, 128354, 129480, 92430, 73525, 128451, 472, 124904, 1163, 23531, 13, 132809, 342, 1103, 129036, 24743, 124483, 126258, 128935, 128300, 220, 17, 15, 14, 23, 624, 50, 2863, 94994, 132038, 130489, 11, 128267, 2600, 130224, 128435, 130003, 129227, 220, 22, 131501, 129480, 92430, 128273, 128451, 128324, 1163, 23531, 13, 220, 126884, 16719, 25, 910, 20868, 759, 84, 75157, 624, 1282, 124603, 128270, 11, 279, 78, 92430, 24790, 128273, 22500, 4711, 11, 128371, 7777, 4076, 128322, 270, 4284, 326, 71431, 11, 53037, 28776, 129363, 128365, 129984, 128373, 489, 125252, 77374, 128812, 11, 130085, 128278, 128379, 82330, 128451, 128324, 1163, 23531, 856, 258, 138251, 128623, 128285, 128451, 472, 124904, 1163, 23531, 32154, 220, 16, 20, 128300, 128725, 128322, 922, 276, 128502, 128365, 53037, 28776, 137261, 128513, 128486, 128784, 128367, 128289, 270, 124554, 136335, 11, 53037, 128417, 129067, 128918, 128994, 59735, 128275, 128278, 128379, 624, 51, 4076, 128452, 11, 128289, 128266, 96535, 79126, 131026, 131638, 128251, 128394, 128704, 128675, 131084, 128740, 13, 3155, 128270, 11, 128300, 220, 16, 14, 23, 11, 356, 92704, 140428, 128356, 128448, 128366, 358, 320, 51, 60257, 968, 138831, 136002, 128366, 128324, 29974, 8, 79126, 294, 125726, 78228, 220, 50483, 129144, 11, 435, 125017, 132457, 128272, 128451, 128324, 1163, 23531, 47742, 2600, 130224, 78228, 128675, 129698, 82790, 128392, 11, 82790, 270, 9574, 129582, 47742, 82790, 128435, 130003, 129227, 220, 22, 131501, 73586, 73525, 128893, 653, 27924, 77374, 77374, 128812, 274, 50483, 83, 128757, 13, 130232, 220, 16, 14, 23, 11, 653, 27924, 77374, 77374, 128812, 98127, 128320, 128304, 220, 17, 15, 15, 129077, 128329, 129058, 128300, 11, 69086, 94994, 128270, 279, 78, 128675, 128595, 128556, 128311, 128282, 129664, 128914, 220, 19, 15, 15, 129077, 128329, 129058, 128300, 624, 34, 125432, 279, 78, 92430, 24790, 128273, 910, 20868, 759, 84, 75157, 11, 128436, 128984, 129126, 472, 124853, 11, 130017, 356, 92704, 129528, 130017, 138831, 136002, 128366, 128324, 29974, 2600, 128345, 11, 32154, 94994, 28776, 128403, 129748, 59735, 129935, 128329, 730, 98661, 128292, 62029, 128781, 128265, 128451, 128324, 1163, 23531, 133138, 11, 128666, 128444, 128267, 28776, 128675, 128595, 132038, 130489, 128451, 79668, 2600, 128435, 130003, 94576, 220, 22, 131501, 128570, 129630, 129480, 92430, 128823, 128454, 13, 41016, 220, 16, 15, 128300, 133804, 129261, 128267, 128930, 15122, 128935, 130097, 85852, 128675, 128595, 128556, 128311, 2600, 128451, 472, 124904, 1163, 23531, 624, 20897, 82026, 8564, 71, 320, 83, 60257, 968, 128319, 4292, 143505, 25, 129639, 128930, 24790, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 51, 124185, 220, 17, 15, 14, 23, 11, 2600, 130224, 128435, 130003, 220, 22, 131501, 129480, 92430, 73525, 128451, 128324, 1163, 23531, 198, 51, 124185, 128300, 220, 17, 15, 14, 23, 11, 32154, 94994, 132038, 130489, 856, 644, 128267, 126341, 128502, 129036, 24743, 124483, 342, 22516, 92430, 2600, 130224, 128435, 130003, 521, 78820, 128251, 94576, 220, 22, 131501, 128570, 129630, 11, 82790, 128392, 11, 82790, 270, 9574, 129582, 129480, 92430, 73525, 128451, 128324, 1163, 23531, 624, 1143, 20868, 759, 84, 75157, 128930, 24790, 11, 130017, 138831, 136002, 128366, 97507, 2600, 130224, 129029, 11911, 20457, 128353, 128284, 129738, 130498, 3406, 125093, 132847, 132630, 128448, 128366, 1163, 2185, 220, 85375, 132038, 130489, 7777, 352, 78228, 136375, 143226, 128273, 128463, 128451, 130176, 2600, 128448, 128366, 59735, 128451, 128324, 1163, 23531, 11, 129018, 130751, 663, 41603, 128250, 595, 20868, 128812, 126258, 128935, 129168, 220, 16, 129427, 128329, 13, 132809, 342, 1103, 128336, 128283, 856, 644, 128371, 128300, 220, 17, 15, 14, 23, 624, 50, 2863, 94994, 132038, 130489, 856, 644, 128267, 126341, 128502, 129036, 24743, 124483, 342, 22516, 92430, 2600, 130224, 128435, 130003, 521, 78820, 128251, 94576, 220, 22, 131501, 128570, 129630, 11, 82790, 128392, 11, 82790, 270, 9574, 129582, 129480, 92430, 73525, 128451, 128324, 1163, 23531, 13, 128678, 128435, 130003, 128354, 129480, 92430, 73525, 128451, 472, 124904, 1163, 23531, 13, 132809, 342, 1103, 129036, 24743, 124483, 126258, 128935, 128300, 220, 17, 15, 14, 23, 624, 50, 2863, 94994, 132038, 130489, 11, 128267, 2600, 130224, 128435, 130003, 129227, 220, 22, 131501, 129480, 92430, 128273, 128451, 128324, 1163, 23531, 13, 220, 126884, 16719, 25, 910, 20868, 759, 84, 75157, 624, 1282, 124603, 128270, 11, 279, 78, 92430, 24790, 128273, 22500, 4711, 11, 128371, 7777, 4076, 128322, 270, 4284, 326, 71431, 11, 53037, 28776, 129363, 128365, 129984, 128373, 489, 125252, 77374, 128812, 11, 130085, 128278, 128379, 82330, 128451, 128324, 1163, 23531, 856, 258, 138251, 128623, 128285, 128451, 472, 124904, 1163, 23531, 32154, 220, 16, 20, 128300, 128725, 128322, 922, 276, 128502, 128365, 53037, 28776, 137261, 128513, 128486, 128784, 128367, 128289, 270, 124554, 136335, 11, 53037, 128417, 129067, 128918, 128994, 59735, 128275, 128278, 128379, 624, 51, 4076, 128452, 11, 128289, 128266, 96535, 79126, 131026, 131638, 128251, 128394, 128704, 128675, 131084, 128740, 13, 3155, 128270, 11, 128300, 220, 16, 14, 23, 11, 356, 92704, 140428, 128356, 128448, 128366, 358, 320, 51, 60257, 968, 138831, 136002, 128366, 128324, 29974, 8, 79126, 294, 125726, 78228, 220, 50483, 129144, 11, 435, 125017, 132457, 128272, 128451, 128324, 1163, 23531, 47742, 2600, 130224, 78228, 128675, 129698, 82790, 128392, 11, 82790, 270, 9574, 129582, 47742, 82790, 128435, 130003, 129227, 220, 22, 131501, 73586, 73525, 128893, 653, 27924, 77374, 77374, 128812, 274, 50483, 83, 128757, 13, 130232, 220, 16, 14, 23, 11, 653, 27924, 77374, 77374, 128812, 98127, 128320, 128304, 220, 17, 15, 15, 129077, 128329, 129058, 128300, 11, 69086, 94994, 128270, 279, 78, 128675, 128595, 128556, 128311, 128282, 129664, 128914, 220, 19, 15, 15, 129077, 128329, 129058, 128300, 624, 34, 125432, 279, 78, 92430, 24790, 128273, 910, 20868, 759, 84, 75157, 11, 128436, 128984, 129126, 472, 124853, 11, 130017, 356, 92704, 129528, 130017, 138831, 136002, 128366, 128324, 29974, 2600, 128345, 11, 32154, 94994, 28776, 128403, 129748, 59735, 129935, 128329, 730, 98661, 128292, 62029, 128781, 128265, 128451, 128324, 1163, 23531, 133138, 11, 128666, 128444, 128267, 28776, 128675, 128595, 132038, 130489, 128451, 79668, 2600, 128435, 130003, 94576, 220, 22, 131501, 128570, 129630, 129480, 92430, 128823, 128454, 13, 41016, 220, 16, 15, 128300, 133804, 129261, 128267, 128930, 15122, 128935, 130097, 85852, 128675, 128595, 128556, 128311, 2600, 128451, 472, 124904, 1163, 23531, 624, 20897, 82026, 8564, 71, 320, 83, 60257, 968, 128319, 4292, 143505, 25, 129639, 128930, 24790, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601 ]
602
[ 34, 24015, 128888, 128622, 220, 19, 129963, 92105, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 131160, 220, 23, 14, 22, 11, 129126, 128441, 130085, 131443, 128301, 79126, 126341, 128502, 136856, 128603, 62029, 128888, 444, 125032, 59735, 130085, 131443, 128301, 128265, 128289, 62029, 128888, 136786, 59123, 128373, 128595, 128338, 128277, 11, 136786, 1527, 128401, 128336, 79479, 11, 136786, 142741, 128556, 128560, 131537, 47742, 136786, 32324, 124312, 390, 132645, 624, 34, 29341, 128854, 129963, 96535, 79126, 63478, 128494, 128410, 92430, 73525, 128272, 133169, 136856, 128720, 220, 22, 128727, 73525, 13, 59123, 128373, 128595, 128804, 128338, 128411, 8988, 38830, 129374, 129703, 129496, 220, 16, 20, 129784, 11, 220, 16, 23, 17, 130406, 11, 136786, 59123, 128373, 128595, 128338, 128277, 77374, 130862, 63478, 128277, 922, 276, 128396, 128310, 128394, 94994, 28776, 128271, 126370, 128333, 92105, 11, 129263, 128366, 11, 130925, 128740, 63478, 128498, 128451, 59735, 128336, 8988, 125115, 128265, 128289, 128417, 129067, 128513, 128751, 1599, 22455, 45, 69086, 128419, 128338, 92105, 13, 84137, 132496, 129528, 129029, 128534, 458, 131699, 135595, 138219, 11, 136786, 126370, 128333, 220, 23, 129031, 135352, 131763, 128417, 129551, 61328, 128373, 128595, 128338, 128277, 129315, 129203, 134569, 11, 28776, 128423, 128432, 11, 128336, 128283, 129315, 128311, 95082, 72067, 276, 135342, 11, 128310, 128854, 59735, 134355, 47742, 129645, 128301, 69086, 489, 124710, 128466, 47742, 129023, 129677, 131867, 128425, 128251, 130375, 134057, 11, 131072, 128463, 129507, 23686, 71, 128441, 11, 129455, 134057, 130375, 11, 128417, 129067, 458, 19550, 71, 128664, 94995, 11, 129566, 342, 126368, 489, 52885, 128377, 11, 458, 128401, 128847, 128410, 13, 129005, 69086, 128253, 128406, 92105, 59735, 136786, 773, 128250, 132034, 139081, 61328, 128373, 128595, 138675, 135735, 128290, 220, 16, 24, 24, 18, 37915, 128289, 61328, 128373, 128595, 128804, 128338, 13, 84137, 128270, 11, 128265, 128338, 128482, 61328, 128373, 128595, 128804, 128338, 11, 730, 6161, 40707, 220, 16, 130406, 220, 20, 24, 126370, 128333, 59123, 128373, 128595, 128804, 128338, 63478, 128336, 128283, 128411, 8988, 38830, 129374, 129703, 13, 3406, 88, 128361, 128336, 128283, 653, 129591, 130388, 126370, 128333, 13, 133802, 129623, 128270, 11, 79668, 270, 77689, 342, 125726, 128639, 130909, 69086, 128289, 129888, 128356, 78228, 128331, 128319, 128672, 128310, 128475, 128251, 128479, 129054, 128319, 128513, 59735, 128251, 128279, 61328, 128373, 128595, 128804, 128338, 856, 258, 128310, 128804, 61328, 128265, 458, 79584, 968, 13, 3155, 128270, 11, 130406, 220, 21, 15, 126370, 128333, 2600, 130224, 128672, 128310, 128475, 128251, 128479, 129054, 128319, 128513, 59735, 128251, 128279, 128595, 128804, 128338, 28776, 128254, 63478, 128370, 128804, 61328, 128265, 458, 79584, 968, 128725, 28776, 129209, 126500, 2600, 128640, 128289, 2600, 128370, 128804, 61328, 53037, 128492, 129589, 128263, 458, 19550, 71, 11, 489, 52885, 128377, 47742, 129067, 97832, 129991, 128331, 13, 1163, 21742, 128814, 136607, 97483, 356, 60257, 968, 32744, 40225, 49896, 128265, 129263, 128368, 773, 49886, 132972, 78228, 128683, 128450, 128846, 128653, 61328, 128373, 129963, 11, 128417, 129551, 61328, 128373, 7777, 352, 94994, 129963, 28776, 128423, 128599, 94576, 128300, 220, 16, 14, 22, 14, 17, 15, 16, 16, 11, 35270, 13, 128984, 132896, 1527, 71, 11, 647, 50483, 129528, 647, 50483, 132034, 128751, 320, 33, 37678, 128534, 458, 8, 2600, 17669, 11, 129029, 128534, 458, 79126, 8943, 128373, 128495, 130361, 773, 49886, 132972, 78228, 128683, 128450, 128846, 128653, 47742, 23165, 125641, 140996, 773, 49886, 132972, 78228, 128683, 128450, 128846, 128653, 128361, 129591, 130388, 47742, 78228, 128366, 129857, 8943, 128373, 128371, 94994, 129963, 128371, 128300, 220, 16, 14, 22, 14, 17, 15, 16, 16, 13, 130244, 37915, 128854, 129963, 128465, 11, 128378, 128314, 128347, 128296, 126258, 128935, 28776, 129168, 220, 18, 15, 128683, 128450, 128846, 128653, 128260, 141127, 128333, 59735, 129591, 130388, 11, 130303, 128379, 59735, 129029, 128534, 458, 47742, 129168, 220, 24, 128683, 128450, 128542, 131443, 129181, 78228, 128366, 11, 129857, 128267, 63478, 8943, 128373, 11, 35270, 13, 128984, 132896, 1527, 71, 137429, 128818, 13, 129029, 809, 128384, 23686, 71, 9586, 129202, 125440, 78228, 23165, 124692, 128265, 458, 128401, 128336, 79479, 129393, 129054, 129029, 809, 128384, 2600, 17669, 11, 79668, 128486, 128784, 130627, 521, 88477, 69086, 129270, 128356, 128275, 128301, 128265, 458, 128401, 128336, 79479, 11, 136786, 79126, 129036, 62029, 131368, 129414, 129270, 128356, 128275, 128301, 279, 78, 129031, 135352, 94576, 362, 128263, 1863, 279, 78, 78228, 131270, 128336, 79479, 44043, 48291, 61758, 2600, 220, 18, 128366, 25, 129029, 809, 128384, 11, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 47742, 129029, 128534, 137048, 13, 133802, 129623, 128270, 11, 136786, 128268, 126370, 128333, 129705, 128254, 128304, 131368, 129414, 129270, 128356, 128275, 128301, 128265, 458, 128401, 128336, 79479, 2600, 73061, 8065, 78228, 128376, 128265, 128417, 129551, 458, 128401, 128336, 79479, 13, 84137, 128270, 11, 129029, 809, 128384, 28776, 131368, 129414, 128371, 129591, 130388, 128336, 128283, 129270, 128356, 128275, 128301, 128265, 458, 128401, 128336, 79479, 128378, 128490, 129029, 809, 128384, 28776, 131368, 129414, 1091, 71, 9586, 11, 129522, 9586, 129202, 125440, 78228, 23165, 124692, 69086, 128459, 128361, 85636, 128415, 11, 595, 20868, 653, 27924, 128336, 79479, 94994, 128360, 128422, 11, 130291, 125440, 128289, 133765, 9586, 128403, 128432, 1091, 71, 9586, 59735, 78228, 128366, 11, 129857, 11, 128704, 128675, 128265, 458, 128401, 128336, 79479, 128725, 128360, 94994, 28776, 78228, 128498, 128451, 11, 128935, 130097, 17669, 128415, 128283, 128367, 128289, 133954, 132242, 11, 129029, 129528, 809, 128384, 128984, 128494, 12359, 69220, 128339, 13, 647, 125041, 279, 78, 129029, 129528, 128984, 128494, 12359, 69220, 11, 131763, 128417, 129551, 128289, 128336, 61328, 129963, 28776, 128423, 128432, 11, 129029, 809, 128384, 128267, 131969, 8943, 128373, 126370, 129311, 23165, 2185, 79668, 78228, 129857, 28776, 129209, 126500, 8943, 128373, 126370, 129311, 25798, 128861, 128265, 458, 128401, 128336, 79479, 69086, 130375, 3275, 129270, 128356, 128275, 128301, 59735, 129857, 128312, 13, 135433, 131368, 129414, 59735, 128704, 128675, 11, 79668, 131282, 128419, 129916, 1031, 24015, 326, 85142, 968, 129270, 128356, 11, 129029, 809, 128384, 128267, 131969, 128361, 129591, 130388, 8943, 128373, 141127, 128333, 126370, 128333, 129398, 131368, 129414, 59735, 73061, 8065, 78228, 128376, 128265, 458, 128401, 128336, 79479, 13, 134914, 128250, 128289, 133503, 129410, 47742, 342, 6023, 143702, 128336, 79479, 11, 136786, 126370, 128333, 129398, 128282, 92430, 128603, 128265, 128811, 85536, 133503, 129410, 2600, 128322, 922, 276, 129270, 128356, 128275, 128301, 28776, 133024, 128918, 128265, 379, 128384, 129522, 9586, 47742, 129207, 128370, 13, 130676, 15122, 11, 136786, 128268, 126370, 128333, 125440, 131368, 129414, 59735, 128251, 128362, 128373, 133503, 129410, 11, 595, 20868, 653, 27924, 128507, 128367, 133503, 129410, 128542, 922, 276, 128263, 458, 128401, 128336, 79479, 13, 133817, 128376, 140288, 128977, 128370, 128322, 128760, 129078, 128334, 129065, 458, 128401, 128336, 79479, 11, 136786, 126370, 128333, 128361, 128377, 11, 128799, 128884, 11, 129122, 129582, 47742, 133024, 128918, 13, 1163, 644, 128270, 11, 128327, 129572, 59735, 131826, 128977, 128370, 37915, 220, 18, 128290, 11, 270, 352, 128314, 132034, 139081, 128371, 128358, 128291, 131826, 96535, 53037, 28776, 128327, 129572, 13, 136786, 28776, 128423, 128599, 61328, 128373, 94576, 128300, 220, 16, 14, 22, 14, 17, 15, 16, 16, 13, 132026, 2600, 128266, 390, 132645, 128301, 128703, 94994, 53037, 128611, 63478, 94995, 128890, 69086, 128301, 130244, 37915, 128249, 69086, 128253, 129031, 135352, 63478, 136786, 32324, 124312, 390, 132645, 136732, 128333, 47742, 63478, 78228, 128683, 129065, 128513, 128356, 128664, 128384, 135991, 128370, 128260, 62029, 220, 124603, 4929, 17798, 68, 128265, 132645, 390, 132645, 128664, 128384, 342, 6023, 129398, 13, 84137, 132496, 129528, 129029, 132590, 128513, 50327, 20868, 1163, 2185, 350, 50483, 968, 11, 128725, 128289, 132645, 129852, 69086, 130375, 3275, 94995, 128890, 53037, 128254, 128336, 128283, 63478, 128291, 128282, 128439, 128263, 78228, 137261, 128513, 131619, 131998, 270, 352, 128314, 128269, 69086, 128301, 11, 69086, 128270, 28776, 128289, 132645, 390, 132645, 13, 132026, 32154, 94994, 79126, 856, 336, 130985, 139988, 129861, 78228, 128486, 128513, 69086, 128301, 126199, 128487, 53037, 128611, 63478, 132273, 220, 126424, 94995, 128890, 2600, 128634, 130917, 128291, 92105, 128439, 128263, 128289, 2600, 128634, 976, 128266, 390, 132645, 128251, 128301, 128703, 11, 47742, 128289, 128270, 128282, 128378, 128994, 130123, 128418, 128281, 2600, 128634, 976, 13, 135433, 78228, 137261, 128513, 128417, 129551, 128289, 132645, 390, 132645, 69086, 128301, 11, 136786, 128930, 15122, 126370, 128333, 128265, 128289, 128611, 94995, 128890, 270, 352, 128314, 69086, 128301, 11, 131763, 128417, 129551, 128634, 976, 28776, 128322, 128410, 63478, 128370, 128266, 390, 132645, 69086, 128301, 13, 133817, 128611, 132273, 220, 126424, 63478, 128336, 128283, 128269, 12789, 128376, 25, 128376, 128847, 11, 128376, 129018, 47742, 489, 2185, 220, 85375, 13, 356, 50483, 128254, 11, 128269, 128376, 128847, 128289, 128611, 94995, 128890, 270, 352, 128314, 63478, 128336, 128283, 128411, 128328, 12788, 38830, 379, 51580, 128272, 134902, 128760, 73061, 8065, 69086, 128327, 129572, 220, 21, 15, 128300, 13, 220, 132774, 128376, 129018, 11, 63478, 128336, 128283, 128411, 128328, 92430, 128603, 128273, 78228, 128675, 129698, 129045, 92430, 69086, 220, 21, 15, 128300, 13, 220, 132774, 489, 2185, 220, 85375, 63478, 128336, 128283, 128411, 128289, 129418, 128273, 356, 60257, 968, 92430, 24790, 128484, 128804, 59735, 129029, 132590, 128513, 13, 129024, 128906, 128327, 129572, 96535, 126199, 53037, 28776, 128251, 69086, 128301, 128370, 128266, 390, 132645, 11, 128291, 128634, 976, 92105, 63478, 128449, 132786, 128266, 390, 132645, 128251, 128301, 128703, 13, 130676, 15122, 11, 62029, 128394, 69086, 128301, 28776, 141580, 128451, 47742, 138030, 130949, 128370, 128634, 976, 128266, 390, 132645, 126199, 128651, 129207, 128370, 63478, 128634, 976, 128291, 28776, 128254, 129418, 129212, 128250, 133827, 132590, 128513, 128837, 128454, 136003, 13, 129024, 28776, 128634, 976, 11, 133827, 132590, 128513, 128449, 132786, 128263, 73061, 8065, 128376, 128847, 128837, 128454, 136003, 79668, 856, 336, 130985, 128486, 128784, 13, 128678, 128334, 129065, 59735, 128251, 128370, 390, 132645, 69086, 47742, 128703, 128301, 37915, 128260, 20303, 2863, 11, 128329, 128327, 130314, 128368, 128790, 59735, 128634, 976, 63478, 2600, 128266, 390, 132645, 128263, 129227, 220, 16, 21, 128790, 13, 135359, 128589, 11, 128251, 129078, 94576, 220, 16, 21, 128790, 128263, 129227, 220, 16, 23, 128790, 128268, 28776, 128254, 63478, 2600, 128266, 390, 132645, 59735, 13517, 294, 98210, 11, 128850, 128495, 11, 128434, 11, 131873, 294, 23531, 11, 129407, 130103, 11122, 94313, 13, 129496, 220, 20, 129784, 11, 220, 20, 17, 128334, 11, 136786, 28776, 128423, 128599, 94576, 128300, 16, 14, 16, 14, 17, 15, 16, 16, 13, 2350, 11390, 128784, 59735, 142741, 128556, 128560, 131537, 37915, 521, 2185, 133024, 130244, 37915, 126370, 128333, 59735, 136786, 142741, 128556, 128560, 131537, 11, 28776, 128423, 128599, 61328, 128373, 94576, 128300, 220, 16, 14, 16, 14, 17, 15, 16, 16, 13, 84137, 128436, 136290, 128494, 1527, 71, 11, 130085, 131443, 129935, 136786, 94995, 128324, 29974, 11, 128322, 922, 276, 128427, 132630, 773, 49886, 132972, 11, 128550, 128556, 128560, 131537, 37915, 128249, 69086, 128253, 128675, 128482, 128486, 128784, 23686, 71, 132677, 132175, 128871, 128281, 11, 128250, 128271, 130483, 128406, 129144, 132345, 128260, 128327, 342, 1103, 129888, 128356, 308, 9917, 71, 11, 128811, 85536, 23686, 71, 132677, 63478, 129566, 132642, 130821, 11, 1319, 11390, 128784, 59735, 128550, 128556, 37915, 521, 2185, 133024, 11, 53037, 28776, 138075, 129410, 11, 138075, 130097, 13, 1163, 644, 128289, 128486, 128784, 23686, 71, 132677, 128411, 128550, 128556, 11, 78228, 128608, 28776, 128271, 128918, 128333, 125190, 124646, 128265, 128289, 63478, 128377, 653, 129506, 128509, 128550, 128556, 11, 126370, 135352, 129556, 126411, 968, 11, 129963, 129470, 128284, 11, 128704, 128406, 11, 137425, 133687, 11, 128327, 342, 1103, 129263, 128373, 129556, 126411, 968, 128550, 128556, 11, 128664, 131443, 59735, 128550, 128556, 97483, 13, 663, 72936, 128918, 59735, 128550, 128556, 128560, 131537, 293, 3441, 130068, 23686, 71, 132677, 129181, 78228, 128608, 128362, 97832, 94576, 128623, 128285, 128560, 131537, 26, 23686, 71, 132677, 128362, 97832, 129181, 78228, 128608, 69086, 128270, 129530, 128281, 128249, 128608, 28776, 128623, 128285, 128560, 131537, 47742, 23686, 71, 132677, 128354, 129181, 78228, 128608, 126199, 128513, 129963, 126370, 128333, 63478, 128486, 128784, 128411, 128550, 128556, 128560, 131537, 1112, 128250, 46051, 128338, 128482, 128623, 128285, 37915, 128550, 128556, 126370, 128751, 47742, 128550, 128556, 128367, 128289, 13, 142741, 128556, 128560, 131537, 53037, 128282, 37915, 653, 27924, 128386, 126199, 37915, 126341, 128502, 128847, 128410, 220, 132197, 128386, 128317, 128289, 64061, 128980, 128282, 63478, 130224, 59735, 128322, 922, 276, 128275, 128301, 28776, 133024, 128918, 13, 41016, 94994, 63478, 64061, 128980, 128282, 129418, 129212, 128623, 128285, 13, 133817, 128494, 128410, 8943, 128373, 129963, 96535, 37915, 129831, 128319, 128250, 92654, 128314, 128362, 128531, 69086, 128327, 132611, 128750, 128301, 128348, 69086, 128459, 128361, 128726, 92105, 47742, 128410, 62572, 131307, 129922, 128273, 129202, 125440, 78228, 132122, 128978, 11, 130085, 131443, 129935, 136786, 94995, 128324, 29974, 137429, 128818, 13, 131160, 220, 22, 14, 22, 11, 129126, 128441, 130085, 131443, 128301, 79126, 126341, 128502, 62029, 128888, 444, 125032, 59735, 130085, 131443, 128301, 62029, 128888, 136786, 138737, 61758, 129645, 128301, 128324, 29974, 11, 136786, 128678, 126341, 128502, 129913, 128284, 11, 136786, 35892, 26068, 128353, 128284, 128750, 22693, 132234, 128386, 13, 131699, 131279, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34, 24015, 128888, 128622, 220, 19, 129963, 92105, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 131160, 220, 23, 14, 22, 11, 129126, 128441, 130085, 131443, 128301, 79126, 126341, 128502, 136856, 128603, 62029, 128888, 444, 125032, 59735, 130085, 131443, 128301, 128265, 128289, 62029, 128888, 136786, 59123, 128373, 128595, 128338, 128277, 11, 136786, 1527, 128401, 128336, 79479, 11, 136786, 142741, 128556, 128560, 131537, 47742, 136786, 32324, 124312, 390, 132645, 624, 34, 29341, 128854, 129963, 96535, 79126, 63478, 128494, 128410, 92430, 73525, 128272, 133169, 136856, 128720, 220, 22, 128727, 73525, 13, 59123, 128373, 128595, 128804, 128338, 128411, 8988, 38830, 129374, 129703, 129496, 220, 16, 20, 129784, 11, 220, 16, 23, 17, 130406, 11, 136786, 59123, 128373, 128595, 128338, 128277, 77374, 130862, 63478, 128277, 922, 276, 128396, 128310, 128394, 94994, 28776, 128271, 126370, 128333, 92105, 11, 129263, 128366, 11, 130925, 128740, 63478, 128498, 128451, 59735, 128336, 8988, 125115, 128265, 128289, 128417, 129067, 128513, 128751, 1599, 22455, 45, 69086, 128419, 128338, 92105, 13, 84137, 132496, 129528, 129029, 128534, 458, 131699, 135595, 138219, 11, 136786, 126370, 128333, 220, 23, 129031, 135352, 131763, 128417, 129551, 61328, 128373, 128595, 128338, 128277, 129315, 129203, 134569, 11, 28776, 128423, 128432, 11, 128336, 128283, 129315, 128311, 95082, 72067, 276, 135342, 11, 128310, 128854, 59735, 134355, 47742, 129645, 128301, 69086, 489, 124710, 128466, 47742, 129023, 129677, 131867, 128425, 128251, 130375, 134057, 11, 131072, 128463, 129507, 23686, 71, 128441, 11, 129455, 134057, 130375, 11, 128417, 129067, 458, 19550, 71, 128664, 94995, 11, 129566, 342, 126368, 489, 52885, 128377, 11, 458, 128401, 128847, 128410, 13, 129005, 69086, 128253, 128406, 92105, 59735, 136786, 773, 128250, 132034, 139081, 61328, 128373, 128595, 138675, 135735, 128290, 220, 16, 24, 24, 18, 37915, 128289, 61328, 128373, 128595, 128804, 128338, 13, 84137, 128270, 11, 128265, 128338, 128482, 61328, 128373, 128595, 128804, 128338, 11, 730, 6161, 40707, 220, 16, 130406, 220, 20, 24, 126370, 128333, 59123, 128373, 128595, 128804, 128338, 63478, 128336, 128283, 128411, 8988, 38830, 129374, 129703, 13, 3406, 88, 128361, 128336, 128283, 653, 129591, 130388, 126370, 128333, 13, 133802, 129623, 128270, 11, 79668, 270, 77689, 342, 125726, 128639, 130909, 69086, 128289, 129888, 128356, 78228, 128331, 128319, 128672, 128310, 128475, 128251, 128479, 129054, 128319, 128513, 59735, 128251, 128279, 61328, 128373, 128595, 128804, 128338, 856, 258, 128310, 128804, 61328, 128265, 458, 79584, 968, 13, 3155, 128270, 11, 130406, 220, 21, 15, 126370, 128333, 2600, 130224, 128672, 128310, 128475, 128251, 128479, 129054, 128319, 128513, 59735, 128251, 128279, 128595, 128804, 128338, 28776, 128254, 63478, 128370, 128804, 61328, 128265, 458, 79584, 968, 128725, 28776, 129209, 126500, 2600, 128640, 128289, 2600, 128370, 128804, 61328, 53037, 128492, 129589, 128263, 458, 19550, 71, 11, 489, 52885, 128377, 47742, 129067, 97832, 129991, 128331, 13, 1163, 21742, 128814, 136607, 97483, 356, 60257, 968, 32744, 40225, 49896, 128265, 129263, 128368, 773, 49886, 132972, 78228, 128683, 128450, 128846, 128653, 61328, 128373, 129963, 11, 128417, 129551, 61328, 128373, 7777, 352, 94994, 129963, 28776, 128423, 128599, 94576, 128300, 220, 16, 14, 22, 14, 17, 15, 16, 16, 11, 35270, 13, 128984, 132896, 1527, 71, 11, 647, 50483, 129528, 647, 50483, 132034, 128751, 320, 33, 37678, 128534, 458, 8, 2600, 17669, 11, 129029, 128534, 458, 79126, 8943, 128373, 128495, 130361, 773, 49886, 132972, 78228, 128683, 128450, 128846, 128653, 47742, 23165, 125641, 140996, 773, 49886, 132972, 78228, 128683, 128450, 128846, 128653, 128361, 129591, 130388, 47742, 78228, 128366, 129857, 8943, 128373, 128371, 94994, 129963, 128371, 128300, 220, 16, 14, 22, 14, 17, 15, 16, 16, 13, 130244, 37915, 128854, 129963, 128465, 11, 128378, 128314, 128347, 128296, 126258, 128935, 28776, 129168, 220, 18, 15, 128683, 128450, 128846, 128653, 128260, 141127, 128333, 59735, 129591, 130388, 11, 130303, 128379, 59735, 129029, 128534, 458, 47742, 129168, 220, 24, 128683, 128450, 128542, 131443, 129181, 78228, 128366, 11, 129857, 128267, 63478, 8943, 128373, 11, 35270, 13, 128984, 132896, 1527, 71, 137429, 128818, 13, 129029, 809, 128384, 23686, 71, 9586, 129202, 125440, 78228, 23165, 124692, 128265, 458, 128401, 128336, 79479, 129393, 129054, 129029, 809, 128384, 2600, 17669, 11, 79668, 128486, 128784, 130627, 521, 88477, 69086, 129270, 128356, 128275, 128301, 128265, 458, 128401, 128336, 79479, 11, 136786, 79126, 129036, 62029, 131368, 129414, 129270, 128356, 128275, 128301, 279, 78, 129031, 135352, 94576, 362, 128263, 1863, 279, 78, 78228, 131270, 128336, 79479, 44043, 48291, 61758, 2600, 220, 18, 128366, 25, 129029, 809, 128384, 11, 129029, 451, 24015, 128386, 47742, 135322, 128531, 132234, 138757, 47742, 129029, 128534, 137048, 13, 133802, 129623, 128270, 11, 136786, 128268, 126370, 128333, 129705, 128254, 128304, 131368, 129414, 129270, 128356, 128275, 128301, 128265, 458, 128401, 128336, 79479, 2600, 73061, 8065, 78228, 128376, 128265, 128417, 129551, 458, 128401, 128336, 79479, 13, 84137, 128270, 11, 129029, 809, 128384, 28776, 131368, 129414, 128371, 129591, 130388, 128336, 128283, 129270, 128356, 128275, 128301, 128265, 458, 128401, 128336, 79479, 128378, 128490, 129029, 809, 128384, 28776, 131368, 129414, 1091, 71, 9586, 11, 129522, 9586, 129202, 125440, 78228, 23165, 124692, 69086, 128459, 128361, 85636, 128415, 11, 595, 20868, 653, 27924, 128336, 79479, 94994, 128360, 128422, 11, 130291, 125440, 128289, 133765, 9586, 128403, 128432, 1091, 71, 9586, 59735, 78228, 128366, 11, 129857, 11, 128704, 128675, 128265, 458, 128401, 128336, 79479, 128725, 128360, 94994, 28776, 78228, 128498, 128451, 11, 128935, 130097, 17669, 128415, 128283, 128367, 128289, 133954, 132242, 11, 129029, 129528, 809, 128384, 128984, 128494, 12359, 69220, 128339, 13, 647, 125041, 279, 78, 129029, 129528, 128984, 128494, 12359, 69220, 11, 131763, 128417, 129551, 128289, 128336, 61328, 129963, 28776, 128423, 128432, 11, 129029, 809, 128384, 128267, 131969, 8943, 128373, 126370, 129311, 23165, 2185, 79668, 78228, 129857, 28776, 129209, 126500, 8943, 128373, 126370, 129311, 25798, 128861, 128265, 458, 128401, 128336, 79479, 69086, 130375, 3275, 129270, 128356, 128275, 128301, 59735, 129857, 128312, 13, 135433, 131368, 129414, 59735, 128704, 128675, 11, 79668, 131282, 128419, 129916, 1031, 24015, 326, 85142, 968, 129270, 128356, 11, 129029, 809, 128384, 128267, 131969, 128361, 129591, 130388, 8943, 128373, 141127, 128333, 126370, 128333, 129398, 131368, 129414, 59735, 73061, 8065, 78228, 128376, 128265, 458, 128401, 128336, 79479, 13, 134914, 128250, 128289, 133503, 129410, 47742, 342, 6023, 143702, 128336, 79479, 11, 136786, 126370, 128333, 129398, 128282, 92430, 128603, 128265, 128811, 85536, 133503, 129410, 2600, 128322, 922, 276, 129270, 128356, 128275, 128301, 28776, 133024, 128918, 128265, 379, 128384, 129522, 9586, 47742, 129207, 128370, 13, 130676, 15122, 11, 136786, 128268, 126370, 128333, 125440, 131368, 129414, 59735, 128251, 128362, 128373, 133503, 129410, 11, 595, 20868, 653, 27924, 128507, 128367, 133503, 129410, 128542, 922, 276, 128263, 458, 128401, 128336, 79479, 13, 133817, 128376, 140288, 128977, 128370, 128322, 128760, 129078, 128334, 129065, 458, 128401, 128336, 79479, 11, 136786, 126370, 128333, 128361, 128377, 11, 128799, 128884, 11, 129122, 129582, 47742, 133024, 128918, 13, 1163, 644, 128270, 11, 128327, 129572, 59735, 131826, 128977, 128370, 37915, 220, 18, 128290, 11, 270, 352, 128314, 132034, 139081, 128371, 128358, 128291, 131826, 96535, 53037, 28776, 128327, 129572, 13, 136786, 28776, 128423, 128599, 61328, 128373, 94576, 128300, 220, 16, 14, 22, 14, 17, 15, 16, 16, 13, 132026, 2600, 128266, 390, 132645, 128301, 128703, 94994, 53037, 128611, 63478, 94995, 128890, 69086, 128301, 130244, 37915, 128249, 69086, 128253, 129031, 135352, 63478, 136786, 32324, 124312, 390, 132645, 136732, 128333, 47742, 63478, 78228, 128683, 129065, 128513, 128356, 128664, 128384, 135991, 128370, 128260, 62029, 220, 124603, 4929, 17798, 68, 128265, 132645, 390, 132645, 128664, 128384, 342, 6023, 129398, 13, 84137, 132496, 129528, 129029, 132590, 128513, 50327, 20868, 1163, 2185, 350, 50483, 968, 11, 128725, 128289, 132645, 129852, 69086, 130375, 3275, 94995, 128890, 53037, 128254, 128336, 128283, 63478, 128291, 128282, 128439, 128263, 78228, 137261, 128513, 131619, 131998, 270, 352, 128314, 128269, 69086, 128301, 11, 69086, 128270, 28776, 128289, 132645, 390, 132645, 13, 132026, 32154, 94994, 79126, 856, 336, 130985, 139988, 129861, 78228, 128486, 128513, 69086, 128301, 126199, 128487, 53037, 128611, 63478, 132273, 220, 126424, 94995, 128890, 2600, 128634, 130917, 128291, 92105, 128439, 128263, 128289, 2600, 128634, 976, 128266, 390, 132645, 128251, 128301, 128703, 11, 47742, 128289, 128270, 128282, 128378, 128994, 130123, 128418, 128281, 2600, 128634, 976, 13, 135433, 78228, 137261, 128513, 128417, 129551, 128289, 132645, 390, 132645, 69086, 128301, 11, 136786, 128930, 15122, 126370, 128333, 128265, 128289, 128611, 94995, 128890, 270, 352, 128314, 69086, 128301, 11, 131763, 128417, 129551, 128634, 976, 28776, 128322, 128410, 63478, 128370, 128266, 390, 132645, 69086, 128301, 13, 133817, 128611, 132273, 220, 126424, 63478, 128336, 128283, 128269, 12789, 128376, 25, 128376, 128847, 11, 128376, 129018, 47742, 489, 2185, 220, 85375, 13, 356, 50483, 128254, 11, 128269, 128376, 128847, 128289, 128611, 94995, 128890, 270, 352, 128314, 63478, 128336, 128283, 128411, 128328, 12788, 38830, 379, 51580, 128272, 134902, 128760, 73061, 8065, 69086, 128327, 129572, 220, 21, 15, 128300, 13, 220, 132774, 128376, 129018, 11, 63478, 128336, 128283, 128411, 128328, 92430, 128603, 128273, 78228, 128675, 129698, 129045, 92430, 69086, 220, 21, 15, 128300, 13, 220, 132774, 489, 2185, 220, 85375, 63478, 128336, 128283, 128411, 128289, 129418, 128273, 356, 60257, 968, 92430, 24790, 128484, 128804, 59735, 129029, 132590, 128513, 13, 129024, 128906, 128327, 129572, 96535, 126199, 53037, 28776, 128251, 69086, 128301, 128370, 128266, 390, 132645, 11, 128291, 128634, 976, 92105, 63478, 128449, 132786, 128266, 390, 132645, 128251, 128301, 128703, 13, 130676, 15122, 11, 62029, 128394, 69086, 128301, 28776, 141580, 128451, 47742, 138030, 130949, 128370, 128634, 976, 128266, 390, 132645, 126199, 128651, 129207, 128370, 63478, 128634, 976, 128291, 28776, 128254, 129418, 129212, 128250, 133827, 132590, 128513, 128837, 128454, 136003, 13, 129024, 28776, 128634, 976, 11, 133827, 132590, 128513, 128449, 132786, 128263, 73061, 8065, 128376, 128847, 128837, 128454, 136003, 79668, 856, 336, 130985, 128486, 128784, 13, 128678, 128334, 129065, 59735, 128251, 128370, 390, 132645, 69086, 47742, 128703, 128301, 37915, 128260, 20303, 2863, 11, 128329, 128327, 130314, 128368, 128790, 59735, 128634, 976, 63478, 2600, 128266, 390, 132645, 128263, 129227, 220, 16, 21, 128790, 13, 135359, 128589, 11, 128251, 129078, 94576, 220, 16, 21, 128790, 128263, 129227, 220, 16, 23, 128790, 128268, 28776, 128254, 63478, 2600, 128266, 390, 132645, 59735, 13517, 294, 98210, 11, 128850, 128495, 11, 128434, 11, 131873, 294, 23531, 11, 129407, 130103, 11122, 94313, 13, 129496, 220, 20, 129784, 11, 220, 20, 17, 128334, 11, 136786, 28776, 128423, 128599, 94576, 128300, 16, 14, 16, 14, 17, 15, 16, 16, 13, 2350, 11390, 128784, 59735, 142741, 128556, 128560, 131537, 37915, 521, 2185, 133024, 130244, 37915, 126370, 128333, 59735, 136786, 142741, 128556, 128560, 131537, 11, 28776, 128423, 128599, 61328, 128373, 94576, 128300, 220, 16, 14, 16, 14, 17, 15, 16, 16, 13, 84137, 128436, 136290, 128494, 1527, 71, 11, 130085, 131443, 129935, 136786, 94995, 128324, 29974, 11, 128322, 922, 276, 128427, 132630, 773, 49886, 132972, 11, 128550, 128556, 128560, 131537, 37915, 128249, 69086, 128253, 128675, 128482, 128486, 128784, 23686, 71, 132677, 132175, 128871, 128281, 11, 128250, 128271, 130483, 128406, 129144, 132345, 128260, 128327, 342, 1103, 129888, 128356, 308, 9917, 71, 11, 128811, 85536, 23686, 71, 132677, 63478, 129566, 132642, 130821, 11, 1319, 11390, 128784, 59735, 128550, 128556, 37915, 521, 2185, 133024, 11, 53037, 28776, 138075, 129410, 11, 138075, 130097, 13, 1163, 644, 128289, 128486, 128784, 23686, 71, 132677, 128411, 128550, 128556, 11, 78228, 128608, 28776, 128271, 128918, 128333, 125190, 124646, 128265, 128289, 63478, 128377, 653, 129506, 128509, 128550, 128556, 11, 126370, 135352, 129556, 126411, 968, 11, 129963, 129470, 128284, 11, 128704, 128406, 11, 137425, 133687, 11, 128327, 342, 1103, 129263, 128373, 129556, 126411, 968, 128550, 128556, 11, 128664, 131443, 59735, 128550, 128556, 97483, 13, 663, 72936, 128918, 59735, 128550, 128556, 128560, 131537, 293, 3441, 130068, 23686, 71, 132677, 129181, 78228, 128608, 128362, 97832, 94576, 128623, 128285, 128560, 131537, 26, 23686, 71, 132677, 128362, 97832, 129181, 78228, 128608, 69086, 128270, 129530, 128281, 128249, 128608, 28776, 128623, 128285, 128560, 131537, 47742, 23686, 71, 132677, 128354, 129181, 78228, 128608, 126199, 128513, 129963, 126370, 128333, 63478, 128486, 128784, 128411, 128550, 128556, 128560, 131537, 1112, 128250, 46051, 128338, 128482, 128623, 128285, 37915, 128550, 128556, 126370, 128751, 47742, 128550, 128556, 128367, 128289, 13, 142741, 128556, 128560, 131537, 53037, 128282, 37915, 653, 27924, 128386, 126199, 37915, 126341, 128502, 128847, 128410, 220, 132197, 128386, 128317, 128289, 64061, 128980, 128282, 63478, 130224, 59735, 128322, 922, 276, 128275, 128301, 28776, 133024, 128918, 13, 41016, 94994, 63478, 64061, 128980, 128282, 129418, 129212, 128623, 128285, 13, 133817, 128494, 128410, 8943, 128373, 129963, 96535, 37915, 129831, 128319, 128250, 92654, 128314, 128362, 128531, 69086, 128327, 132611, 128750, 128301, 128348, 69086, 128459, 128361, 128726, 92105, 47742, 128410, 62572, 131307, 129922, 128273, 129202, 125440, 78228, 132122, 128978, 11, 130085, 131443, 129935, 136786, 94995, 128324, 29974, 137429, 128818, 13, 131160, 220, 22, 14, 22, 11, 129126, 128441, 130085, 131443, 128301, 79126, 126341, 128502, 62029, 128888, 444, 125032, 59735, 130085, 131443, 128301, 62029, 128888, 136786, 138737, 61758, 129645, 128301, 128324, 29974, 11, 136786, 128678, 126341, 128502, 129913, 128284, 11, 136786, 35892, 26068, 128353, 128284, 128750, 22693, 132234, 128386, 13, 131699, 131279, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360, 1361, 1362, 1363, 1364, 1365, 1366, 1367, 1368, 1369, 1370, 1371, 1372, 1373, 1374, 1375, 1376, 1377, 1378, 1379, 1380, 1381, 1382, 1383, 1384, 1385, 1386, 1387, 1388, 1389, 1390, 1391, 1392, 1393, 1394, 1395, 1396, 1397, 1398, 1399, 1400, 1401, 1402, 1403, 1404, 1405, 1406, 1407, 1408, 1409, 1410, 1411, 1412, 1413, 1414, 1415, 1416, 1417, 1418, 1419, 1420, 1421, 1422, 1423, 1424, 1425, 1426, 1427, 1428, 1429, 1430, 1431, 1432, 1433, 1434, 1435, 1436, 1437, 1438, 1439, 1440, 1441, 1442, 1443, 1444, 1445, 1446, 1447, 1448, 1449, 1450, 1451, 1452, 1453, 1454, 1455, 1456, 1457, 1458, 1459, 1460, 1461, 1462, 1463, 1464, 1465, 1466, 1467, 1468, 1469, 1470, 1471, 1472, 1473, 1474, 1475, 1476, 1477, 1478, 1479, 1480, 1481, 1482, 1483, 1484, 1485, 1486, 1487, 1488, 1489, 1490, 1491, 1492, 1493, 1494, 1495, 1496, 1497, 1498, 1499, 1500, 1501, 1502, 1503, 1504, 1505, 1506, 1507, 1508, 1509, 1510, 1511, 1512, 1513, 1514, 1515, 1516, 1517, 1518, 1519, 1520, 1521, 1522, 1523, 1524, 1525, 1526, 1527, 1528, 1529, 1530, 1531, 1532, 1533, 1534, 1535, 1536, 1537, 1538, 1539, 1540, 1541, 1542, 1543, 1544, 1545, 1546, 1547, 1548, 1549, 1550, 1551, 1552, 1553, 1554, 1555, 1556, 1557, 1558, 1559, 1560, 1561, 1562, 1563, 1564, 1565, 1566, 1567, 1568, 1569, 1570, 1571, 1572, 1573, 1574, 1575, 1576, 1577, 1578, 1579, 1580, 1581, 1582, 1583, 1584, 1585, 1586, 1587, 1588, 1589, 1590, 1591, 1592, 1593, 1594, 1595, 1596, 1597, 1598, 1599, 1600, 1601, 1602, 1603, 1604, 1605, 1606, 1607, 1608, 1609, 1610, 1611, 1612, 1613, 1614, 1615, 1616, 1617, 1618, 1619, 1620, 1621, 1622, 1623, 1624, 1625, 1626, 1627, 1628, 1629, 1630, 1631, 1632, 1633, 1634, 1635, 1636, 1637, 1638, 1639, 1640, 1641, 1642, 1643, 1644, 1645, 1646, 1647, 1648, 1649, 1650, 1651, 1652, 1653, 1654, 1655, 1656, 1657, 1658, 1659, 1660, 1661, 1662, 1663, 1664, 1665, 1666, 1667, 1668, 1669, 1670, 1671, 1672, 1673, 1674, 1675, 1676, 1677, 1678, 1679, 1680, 1681, 1682, 1683, 1684, 1685, 1686, 1687, 1688, 1689, 1690, 1691, 1692, 1693, 1694, 1695, 1696, 1697, 1698, 1699, 1700, 1701, 1702, 1703, 1704, 1705, 1706, 1707, 1708, 1709, 1710, 1711, 1712, 1713, 1714, 1715, 1716, 1717, 1718, 1719, 1720, 1721, 1722, 1723, 1724, 1725, 1726, 1727, 1728, 1729, 1730, 1731, 1732, 1733, 1734, 1735, 1736, 1737, 1738, 1739, 1740, 1741, 1742, 1743, 1744, 1745, 1746, 1747, 1748, 1749, 1750, 1751, 1752, 1753, 1754, 1755, 1756, 1757, 1758, 1759, 1760, 1761, 1762, 1763, 1764, 1765, 1766, 1767, 1768, 1769, 1770, 1771, 1772, 1773, 1774, 1775, 1776, 1777, 1778, 1779, 1780, 1781, 1782, 1783, 1784, 1785, 1786, 1787, 1788, 1789, 1790, 1791, 1792, 1793, 1794, 1795, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1841, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1864, 1865, 1866, 1867, 1868, 1869, 1870, 1871, 1872, 1873, 1874, 1875, 1876, 1877, 1878, 1879, 1880, 1881, 1882, 1883, 1884, 1885, 1886, 1887, 1888, 1889, 1890, 1891, 1892, 1893, 1894, 1895, 1896, 1897, 1898, 1899, 1900, 1901, 1902, 1903, 1904, 1905, 1906, 1907, 1908, 1909, 1910, 1911, 1912, 1913, 1914, 1915, 1916, 1917, 1918, 1919, 1920, 1921, 1922, 1923, 1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933, 1934, 1935, 1936, 1937, 1938, 1939, 1940, 1941, 1942, 1943, 1944, 1945, 1946, 1947, 1948, 1949, 1950, 1951, 1952, 1953, 1954, 1955, 1956, 1957, 1958, 1959, 1960, 1961, 1962, 1963, 1964, 1965, 1966, 1967, 1968, 1969, 1970, 1971, 1972, 1973, 1974, 1975, 1976, 1977, 1978, 1979, 1980, 1981, 1982, 1983, 1984, 1985, 1986, 1987, 1988, 1989, 1990, 1991, 1992, 1993, 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013, 2014, 2015, 2016, 2017, 2018, 2019, 2020, 2021, 2022, 2023, 2024, 2025, 2026, 2027, 2028, 2029, 2030, 2031, 2032, 2033, 2034, 2035, 2036, 2037, 2038, 2039, 2040, 2041, 2042, 2043, 2044, 2045, 2046, 2047, 2048, 2049, 2050, 2051, 2052, 2053, 2054, 2055, 2056, 2057, 2058, 2059, 2060, 2061 ]
2,062
[ 77994, 132864, 342, 22516, 92430, 134168, 128550, 128272, 133314, 1163, 35928, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 17, 15, 14, 16, 15, 11, 128249, 128367, 52537, 132864, 342, 22516, 92430, 134168, 128550, 79126, 131871, 15122, 128272, 126260, 489, 124644, 8055, 444, 37678, 11, 131210, 8055, 444, 37678, 11, 129018, 133314, 1163, 35928, 11, 128266, 274, 36745, 128275, 128394, 47742, 12789, 128251, 128279, 128560, 132932, 624, 13048, 51054, 128331, 128367, 52537, 132864, 13, 481, 220, 126884, 16719, 25, 350, 22867, 71961, 624, 77994, 132864, 653, 82790, 521, 78820, 128351, 50196, 130027, 129522, 134814, 59735, 444, 125017, 547, 57, 12, 15, 16, 24, 24, 128882, 15122, 13, 220, 132774, 128327, 128406, 128273, 11, 82790, 130702, 130980, 21793, 26068, 19625, 1167, 35035, 11, 653, 425, 125202, 129126, 35892, 72115, 320, 376, 6654, 128272, 128847, 444, 124510, 425, 60257, 77, 11, 130751, 444, 124510, 11, 663, 125528, 131460, 11278, 84, 26068, 8, 128334, 139533, 11, 128348, 521, 78820, 220, 16, 20, 128373, 128351, 624, 42, 6023, 82790, 128263, 13136, 23, 10, 24, 15, 15, 11, 128664, 130540, 220, 24, 11, 653, 130702, 128250, 133061, 128368, 2162, 78, 11, 131282, 82790, 130897, 521, 78820, 133105, 220, 22, 19, 42, 12, 21, 18, 22, 20, 130702, 128340, 131149, 11, 82790, 128351, 128279, 129276, 53638, 72, 11, 14854, 86728, 133863, 86139, 128275, 129302, 128984, 130934, 132896, 7767, 125452, 128269, 128608, 128448, 624, 53, 50483, 52537, 132864, 128266, 46051, 128251, 128348, 132055, 69086, 128275, 129302, 7767, 125452, 47742, 128249, 128373, 128351, 73586, 82790, 128279, 128560, 132932, 26, 82790, 128351, 128279, 136375, 143226, 132932, 624, 34, 38715, 922, 276, 62029, 458, 131210, 8055, 444, 37678, 128348, 128334, 9586, 128266, 129398, 128367, 128289, 624, 26067, 71, 472, 125455, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 77994, 132864, 342, 22516, 92430, 134168, 128550, 128272, 133314, 1163, 35928, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 17, 15, 14, 16, 15, 11, 128249, 128367, 52537, 132864, 342, 22516, 92430, 134168, 128550, 79126, 131871, 15122, 128272, 126260, 489, 124644, 8055, 444, 37678, 11, 131210, 8055, 444, 37678, 11, 129018, 133314, 1163, 35928, 11, 128266, 274, 36745, 128275, 128394, 47742, 12789, 128251, 128279, 128560, 132932, 624, 13048, 51054, 128331, 128367, 52537, 132864, 13, 481, 220, 126884, 16719, 25, 350, 22867, 71961, 624, 77994, 132864, 653, 82790, 521, 78820, 128351, 50196, 130027, 129522, 134814, 59735, 444, 125017, 547, 57, 12, 15, 16, 24, 24, 128882, 15122, 13, 220, 132774, 128327, 128406, 128273, 11, 82790, 130702, 130980, 21793, 26068, 19625, 1167, 35035, 11, 653, 425, 125202, 129126, 35892, 72115, 320, 376, 6654, 128272, 128847, 444, 124510, 425, 60257, 77, 11, 130751, 444, 124510, 11, 663, 125528, 131460, 11278, 84, 26068, 8, 128334, 139533, 11, 128348, 521, 78820, 220, 16, 20, 128373, 128351, 624, 42, 6023, 82790, 128263, 13136, 23, 10, 24, 15, 15, 11, 128664, 130540, 220, 24, 11, 653, 130702, 128250, 133061, 128368, 2162, 78, 11, 131282, 82790, 130897, 521, 78820, 133105, 220, 22, 19, 42, 12, 21, 18, 22, 20, 130702, 128340, 131149, 11, 82790, 128351, 128279, 129276, 53638, 72, 11, 14854, 86728, 133863, 86139, 128275, 129302, 128984, 130934, 132896, 7767, 125452, 128269, 128608, 128448, 624, 53, 50483, 52537, 132864, 128266, 46051, 128251, 128348, 132055, 69086, 128275, 129302, 7767, 125452, 47742, 128249, 128373, 128351, 73586, 82790, 128279, 128560, 132932, 26, 82790, 128351, 128279, 136375, 143226, 132932, 624, 34, 38715, 922, 276, 62029, 458, 131210, 8055, 444, 37678, 128348, 128334, 9586, 128266, 129398, 128367, 128289, 624, 26067, 71, 472, 125455, 624, 151645 ]
[ 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
[ 35544, 124382, 29974, 1062, 72, 128550, 128362, 128531, 922, 276, 128457, 128319, 128400, 128250, 6864, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 33282, 124477, 220, 16, 19, 14, 16, 16, 11, 128272, 129029, 142769, 342, 22516, 11, 133761, 130390, 131943, 11, 129029, 129528, 129029, 142769, 342, 22516, 136290, 129336, 92155, 79126, 128424, 129302, 69920, 12179, 65501, 19685, 11, 272, 61031, 84, 2014, 88602, 128918, 6864, 128348, 133171, 47742, 128266, 128289, 128272, 128301, 9450, 624, 3357, 1794, 130390, 131943, 136290, 129336, 92155, 128424, 129302, 5271, 5054, 19685, 11, 272, 61031, 84, 2014, 88602, 128918, 6864, 13, 220, 126884, 16719, 25, 647, 24430, 23354, 75050, 92155, 624, 3357, 1794, 130390, 131943, 136290, 129336, 92155, 136732, 128333, 128324, 29974, 128787, 1062, 72, 128550, 128362, 128531, 922, 276, 128457, 128250, 6864, 11, 74542, 128491, 47742, 133691, 137968, 128340, 6864, 128930, 922, 276, 128457, 128319, 128400, 46051, 128301, 73586, 86139, 131149, 131307, 11, 128300, 129357, 128423, 128432, 624, 3357, 1794, 130390, 131943, 342, 6023, 128370, 128289, 129302, 5271, 5054, 19685, 128740, 134603, 86139, 128502, 130017, 138532, 129212, 132034, 133687, 129414, 128880, 220, 17, 15, 16, 20, 12, 17, 15, 16, 23, 47742, 135247, 132367, 24790, 129608, 129302, 128643, 128401, 28776, 128254, 129551, 128370, 128418, 39486, 129659, 130017, 138532, 129212, 132034, 133687, 128725, 63478, 134311, 86139, 272, 85375, 128444, 96535, 624, 79759, 124644, 128818, 128311, 95082, 128281, 133751, 59735, 128324, 29974, 37915, 270, 309, 94995, 138465, 128329, 132034, 133687, 128249, 128328, 128427, 128285, 11, 128761, 129541, 47742, 28776, 131368, 129414, 11, 133761, 130390, 131943, 136290, 129336, 92155, 136732, 128333, 128324, 29974, 133691, 137968, 128266, 128451, 132364, 133600, 132668, 922, 276, 128457, 129181, 138465, 128329, 132034, 133687, 47742, 98867, 1093, 11, 128329, 128327, 128456, 130097, 11, 128608, 129623, 128289, 133600, 132668, 128907, 130249, 128683, 128585, 47742, 137425, 133687, 11, 138465, 128329, 132034, 133687, 128360, 129407, 128550, 128529, 132300, 128319, 128400, 595, 20868, 128384, 47742, 28776, 128846, 73586, 92105, 131763, 128745, 128740, 128250, 128253, 128871, 128726, 308, 9917, 71, 131827, 59735, 128419, 128338, 128314, 128449, 128283, 308, 352, 624, 53, 39938, 129854, 128312, 11, 129302, 5271, 5054, 19685, 135247, 132367, 348, 1963, 137098, 128568, 128278, 128924, 128263, 128324, 29974, 11, 136732, 128333, 128324, 29974, 37915, 128421, 128400, 922, 276, 128550, 59735, 6864, 128269, 127980, 128978, 133539, 42812, 70526, 124900, 129336, 130695, 11, 128329, 128327, 128826, 128309, 2162, 78, 39486, 129659, 59735, 128324, 29974, 128272, 78228, 126341, 128502, 128664, 128384, 47742, 127980, 128978, 624, 33, 6362, 5271, 5054, 19685, 11386, 276, 124414, 5498, 16719, 128253, 130889, 131072, 59735, 128324, 29974, 128421, 128250, 128277, 128362, 128531, 59735, 138465, 128329, 132034, 133687, 128327, 342, 1103, 73525, 11, 128281, 37915, 128289, 128324, 29974, 79126, 126341, 128502, 64061, 62029, 129935, 130097, 128376, 2162, 78, 132034, 133687, 128568, 128720, 220, 22, 128272, 128521, 128685, 320, 16, 24, 24, 22, 701, 128826, 131575, 130203, 128362, 128531, 922, 276, 128550, 59735, 138465, 128329, 624, 79759, 39392, 137789, 96535, 11, 129302, 5271, 5054, 19685, 128268, 521, 685, 129958, 128253, 128431, 129608, 59735, 128312, 128265, 129509, 1187, 72, 128362, 128531, 59735, 138465, 128329, 132034, 133687, 11, 69086, 128270, 137429, 128818, 78228, 128311, 95082, 59735, 132034, 133687, 128360, 279, 78, 129261, 128253, 141580, 128451, 59735, 78228, 128301, 64061, 97483, 26, 128360, 128362, 305, 4076, 39486, 129659, 59735, 128877, 128872, 11, 1091, 71, 132883, 131763, 128943, 128855, 128249, 138465, 128329, 132034, 133687, 129675, 128403, 11, 133713, 128333, 47742, 128362, 128531, 135268, 135584, 624, 33, 6362, 5271, 5054, 19685, 79126, 135247, 132367, 220, 124644, 129014, 128418, 128501, 128265, 128877, 128872, 47742, 128314, 128457, 128634, 128324, 29974, 129433, 128365, 128285, 11, 136949, 130884, 135596, 11, 2600, 128358, 37915, 128253, 128400, 128310, 130889, 131072, 311, 128465, 86139, 128459, 128361, 128362, 128531, 47742, 128410, 62572, 128664, 128384, 59735, 128324, 29974, 13, 132934, 5271, 5054, 19685, 135247, 132367, 74542, 128491, 131969, 922, 352, 128570, 85852, 133171, 128750, 128301, 128324, 29974, 69086, 128327, 342, 1103, 128447, 1725, 624, 1001, 14926, 88, 8564, 71, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 35544, 124382, 29974, 1062, 72, 128550, 128362, 128531, 922, 276, 128457, 128319, 128400, 128250, 6864, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 33282, 124477, 220, 16, 19, 14, 16, 16, 11, 128272, 129029, 142769, 342, 22516, 11, 133761, 130390, 131943, 11, 129029, 129528, 129029, 142769, 342, 22516, 136290, 129336, 92155, 79126, 128424, 129302, 69920, 12179, 65501, 19685, 11, 272, 61031, 84, 2014, 88602, 128918, 6864, 128348, 133171, 47742, 128266, 128289, 128272, 128301, 9450, 624, 3357, 1794, 130390, 131943, 136290, 129336, 92155, 128424, 129302, 5271, 5054, 19685, 11, 272, 61031, 84, 2014, 88602, 128918, 6864, 13, 220, 126884, 16719, 25, 647, 24430, 23354, 75050, 92155, 624, 3357, 1794, 130390, 131943, 136290, 129336, 92155, 136732, 128333, 128324, 29974, 128787, 1062, 72, 128550, 128362, 128531, 922, 276, 128457, 128250, 6864, 11, 74542, 128491, 47742, 133691, 137968, 128340, 6864, 128930, 922, 276, 128457, 128319, 128400, 46051, 128301, 73586, 86139, 131149, 131307, 11, 128300, 129357, 128423, 128432, 624, 3357, 1794, 130390, 131943, 342, 6023, 128370, 128289, 129302, 5271, 5054, 19685, 128740, 134603, 86139, 128502, 130017, 138532, 129212, 132034, 133687, 129414, 128880, 220, 17, 15, 16, 20, 12, 17, 15, 16, 23, 47742, 135247, 132367, 24790, 129608, 129302, 128643, 128401, 28776, 128254, 129551, 128370, 128418, 39486, 129659, 130017, 138532, 129212, 132034, 133687, 128725, 63478, 134311, 86139, 272, 85375, 128444, 96535, 624, 79759, 124644, 128818, 128311, 95082, 128281, 133751, 59735, 128324, 29974, 37915, 270, 309, 94995, 138465, 128329, 132034, 133687, 128249, 128328, 128427, 128285, 11, 128761, 129541, 47742, 28776, 131368, 129414, 11, 133761, 130390, 131943, 136290, 129336, 92155, 136732, 128333, 128324, 29974, 133691, 137968, 128266, 128451, 132364, 133600, 132668, 922, 276, 128457, 129181, 138465, 128329, 132034, 133687, 47742, 98867, 1093, 11, 128329, 128327, 128456, 130097, 11, 128608, 129623, 128289, 133600, 132668, 128907, 130249, 128683, 128585, 47742, 137425, 133687, 11, 138465, 128329, 132034, 133687, 128360, 129407, 128550, 128529, 132300, 128319, 128400, 595, 20868, 128384, 47742, 28776, 128846, 73586, 92105, 131763, 128745, 128740, 128250, 128253, 128871, 128726, 308, 9917, 71, 131827, 59735, 128419, 128338, 128314, 128449, 128283, 308, 352, 624, 53, 39938, 129854, 128312, 11, 129302, 5271, 5054, 19685, 135247, 132367, 348, 1963, 137098, 128568, 128278, 128924, 128263, 128324, 29974, 11, 136732, 128333, 128324, 29974, 37915, 128421, 128400, 922, 276, 128550, 59735, 6864, 128269, 127980, 128978, 133539, 42812, 70526, 124900, 129336, 130695, 11, 128329, 128327, 128826, 128309, 2162, 78, 39486, 129659, 59735, 128324, 29974, 128272, 78228, 126341, 128502, 128664, 128384, 47742, 127980, 128978, 624, 33, 6362, 5271, 5054, 19685, 11386, 276, 124414, 5498, 16719, 128253, 130889, 131072, 59735, 128324, 29974, 128421, 128250, 128277, 128362, 128531, 59735, 138465, 128329, 132034, 133687, 128327, 342, 1103, 73525, 11, 128281, 37915, 128289, 128324, 29974, 79126, 126341, 128502, 64061, 62029, 129935, 130097, 128376, 2162, 78, 132034, 133687, 128568, 128720, 220, 22, 128272, 128521, 128685, 320, 16, 24, 24, 22, 701, 128826, 131575, 130203, 128362, 128531, 922, 276, 128550, 59735, 138465, 128329, 624, 79759, 39392, 137789, 96535, 11, 129302, 5271, 5054, 19685, 128268, 521, 685, 129958, 128253, 128431, 129608, 59735, 128312, 128265, 129509, 1187, 72, 128362, 128531, 59735, 138465, 128329, 132034, 133687, 11, 69086, 128270, 137429, 128818, 78228, 128311, 95082, 59735, 132034, 133687, 128360, 279, 78, 129261, 128253, 141580, 128451, 59735, 78228, 128301, 64061, 97483, 26, 128360, 128362, 305, 4076, 39486, 129659, 59735, 128877, 128872, 11, 1091, 71, 132883, 131763, 128943, 128855, 128249, 138465, 128329, 132034, 133687, 129675, 128403, 11, 133713, 128333, 47742, 128362, 128531, 135268, 135584, 624, 33, 6362, 5271, 5054, 19685, 79126, 135247, 132367, 220, 124644, 129014, 128418, 128501, 128265, 128877, 128872, 47742, 128314, 128457, 128634, 128324, 29974, 129433, 128365, 128285, 11, 136949, 130884, 135596, 11, 2600, 128358, 37915, 128253, 128400, 128310, 130889, 131072, 311, 128465, 86139, 128459, 128361, 128362, 128531, 47742, 128410, 62572, 128664, 128384, 59735, 128324, 29974, 13, 132934, 5271, 5054, 19685, 135247, 132367, 74542, 128491, 131969, 922, 352, 128570, 85852, 133171, 128750, 128301, 128324, 29974, 69086, 128327, 342, 1103, 128447, 1725, 624, 1001, 14926, 88, 8564, 71, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640 ]
641
[ 39, 6362, 128685, 25, 130406, 9586, 128367, 270, 88771, 1319, 4076, 128362, 308, 60257, 128266, 89451, 220, 16, 18, 128790, 128804, 348, 644, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 128534, 458, 131210, 386, 5498, 8564, 71, 11, 128521, 128685, 128348, 23165, 125641, 140996, 128334, 9586, 128266, 129398, 128367, 308, 60257, 270, 88771, 1319, 4076, 128272, 128847, 1163, 124397, 128324, 11, 131210, 386, 5498, 8564, 71, 128893, 128249, 136291, 89451, 220, 16, 18, 128790, 128804, 348, 644, 624, 13048, 51054, 128331, 128367, 308, 60257, 13, 220, 126884, 16719, 25, 133602, 1527, 19550, 71, 130390, 130287, 624, 1282, 124603, 128270, 11, 129168, 220, 16, 23, 71, 128300, 220, 16, 18, 14, 24, 11, 128272, 128269, 856, 49980, 220, 22, 128847, 1163, 124397, 128324, 11, 458, 71, 132644, 129126, 328, 128353, 128284, 128392, 305, 88602, 79668, 132038, 130489, 128249, 129141, 270, 88771, 1319, 4076, 13, 350, 4076, 128452, 11, 94994, 129141, 128392, 305, 88602, 128727, 128424, 132242, 128250, 129141, 270, 88771, 1319, 4076, 128291, 270, 88771, 1319, 4076, 128633, 132132, 128362, 308, 60257, 128465, 13, 451, 125342, 129141, 270, 88771, 128279, 128599, 128465, 293, 124551, 15122, 128703, 348, 58597, 489, 125446, 128251, 136291, 128984, 133361, 472, 11, 97832, 128290, 220, 17, 15, 15, 17, 11, 136003, 128272, 856, 49980, 220, 21, 128847, 1163, 124397, 128324, 128348, 128971, 128272, 127980, 128978, 128914, 128270, 624, 34, 6654, 11164, 141619, 128893, 136291, 472, 13, 128279, 293, 124551, 129630, 296, 85375, 13, 422, 14926, 63478, 129582, 129156, 128272, 131501, 47742, 128930, 73586, 128453, 129972, 128376, 129156, 7777, 352, 32154, 128270, 5492, 136291, 472, 13, 79126, 128804, 348, 644, 624, 34, 24015, 458, 131210, 386, 5498, 8564, 71, 47742, 78228, 128666, 128444, 128502, 128365, 79126, 129263, 128373, 131797, 128990, 129582, 128366, 13, 133884, 138030, 130949, 59735, 94995, 128890, 11, 128534, 458, 131210, 386, 5498, 8564, 71, 79126, 129030, 342, 22516, 128930, 61328, 128254, 136291, 472, 2600, 94995, 128890, 128265, 16737, 79584, 968, 13, 138933, 220, 17, 18, 71, 128300, 220, 16, 18, 14, 24, 11, 61328, 128254, 136291, 472, 63478, 94995, 128890, 128930, 128265, 624, 53, 50483, 128289, 128348, 63478, 128322, 922, 276, 128502, 128365, 128424, 128884, 128334, 9586, 624, 49922, 17275, 52551, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39, 6362, 128685, 25, 130406, 9586, 128367, 270, 88771, 1319, 4076, 128362, 308, 60257, 128266, 89451, 220, 16, 18, 128790, 128804, 348, 644, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 128534, 458, 131210, 386, 5498, 8564, 71, 11, 128521, 128685, 128348, 23165, 125641, 140996, 128334, 9586, 128266, 129398, 128367, 308, 60257, 270, 88771, 1319, 4076, 128272, 128847, 1163, 124397, 128324, 11, 131210, 386, 5498, 8564, 71, 128893, 128249, 136291, 89451, 220, 16, 18, 128790, 128804, 348, 644, 624, 13048, 51054, 128331, 128367, 308, 60257, 13, 220, 126884, 16719, 25, 133602, 1527, 19550, 71, 130390, 130287, 624, 1282, 124603, 128270, 11, 129168, 220, 16, 23, 71, 128300, 220, 16, 18, 14, 24, 11, 128272, 128269, 856, 49980, 220, 22, 128847, 1163, 124397, 128324, 11, 458, 71, 132644, 129126, 328, 128353, 128284, 128392, 305, 88602, 79668, 132038, 130489, 128249, 129141, 270, 88771, 1319, 4076, 13, 350, 4076, 128452, 11, 94994, 129141, 128392, 305, 88602, 128727, 128424, 132242, 128250, 129141, 270, 88771, 1319, 4076, 128291, 270, 88771, 1319, 4076, 128633, 132132, 128362, 308, 60257, 128465, 13, 451, 125342, 129141, 270, 88771, 128279, 128599, 128465, 293, 124551, 15122, 128703, 348, 58597, 489, 125446, 128251, 136291, 128984, 133361, 472, 11, 97832, 128290, 220, 17, 15, 15, 17, 11, 136003, 128272, 856, 49980, 220, 21, 128847, 1163, 124397, 128324, 128348, 128971, 128272, 127980, 128978, 128914, 128270, 624, 34, 6654, 11164, 141619, 128893, 136291, 472, 13, 128279, 293, 124551, 129630, 296, 85375, 13, 422, 14926, 63478, 129582, 129156, 128272, 131501, 47742, 128930, 73586, 128453, 129972, 128376, 129156, 7777, 352, 32154, 128270, 5492, 136291, 472, 13, 79126, 128804, 348, 644, 624, 34, 24015, 458, 131210, 386, 5498, 8564, 71, 47742, 78228, 128666, 128444, 128502, 128365, 79126, 129263, 128373, 131797, 128990, 129582, 128366, 13, 133884, 138030, 130949, 59735, 94995, 128890, 11, 128534, 458, 131210, 386, 5498, 8564, 71, 79126, 129030, 342, 22516, 128930, 61328, 128254, 136291, 472, 2600, 94995, 128890, 128265, 16737, 79584, 968, 13, 138933, 220, 17, 18, 71, 128300, 220, 16, 18, 14, 24, 11, 61328, 128254, 136291, 472, 63478, 94995, 128890, 128930, 128265, 624, 53, 50483, 128289, 128348, 63478, 128322, 922, 276, 128502, 128365, 128424, 128884, 128334, 9586, 624, 49922, 17275, 52551, 624, 151645 ]
[ 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
[ 50, 2863, 521, 126303, 133465, 11, 130442, 128494, 128980, 129029, 458, 128401, 128664, 94995, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 17, 24, 14, 19, 11, 130017, 128573, 130442, 128494, 5540, 4229, 359, 11278, 9011, 2600, 128345, 128267, 128980, 129029, 458, 128401, 128664, 94995, 11, 128249, 128322, 922, 276, 130668, 129227, 128918, 128334, 128373, 59735, 129126, 128441, 128799, 131943, 11, 129949, 131368, 129414, 128486, 128784, 78228, 128367, 52537, 132864, 128465, 128260, 128367, 521, 126303, 133465, 49213, 337, 624, 1001, 42504, 131943, 130442, 128494, 128370, 131368, 129414, 128265, 128367, 521, 126303, 1112, 130442, 128494, 129888, 128356, 131368, 129414, 128367, 521, 126303, 133465, 49213, 337, 130442, 128494, 25, 425, 124651, 129566, 128622, 220, 16, 64061, 97483, 126341, 53638, 72, 1112, 137328, 130158, 132864, 128310, 521, 126303, 133465, 130442, 128494, 25, 131160, 136100, 1112, 910, 126303, 133465, 130442, 128494, 25, 386, 78820, 129922, 128334, 9586, 624, 25406, 128403, 128273, 63478, 129302, 5540, 4229, 359, 11278, 9011, 128930, 15122, 69086, 132214, 856, 258, 133015, 128311, 128482, 59735, 130017, 128573, 130442, 128494, 128265, 52537, 132864, 521, 126303, 133465, 130978, 76, 23165, 124504, 130535, 220, 16, 21, 14, 19, 13, 132546, 968, 24790, 809, 263, 37810, 128653, 128814, 129302, 5540, 4229, 359, 11278, 9011, 2600, 128345, 129591, 130388, 59735, 129302, 129213, 64061, 856, 258, 133015, 128265, 128289, 79126, 53037, 133776, 139810, 63478, 130978, 76, 126247, 64, 128268, 128260, 131084, 128740, 326, 125446, 89218, 968, 94994, 128367, 521, 126303, 133465, 49213, 337, 92105, 131871, 15122, 624, 33039, 5492, 128250, 6592, 128403, 96535, 11, 129302, 128268, 15122, 139081, 132314, 14854, 125044, 128401, 128366, 128457, 128573, 458, 128401, 59735, 130442, 128494, 624, 45, 55973, 130017, 128573, 128268, 79126, 128263, 129608, 132686, 78228, 132864, 128310, 128272, 127980, 129608, 132686, 63478, 128980, 128269, 62029, 97483, 1527, 33082, 472, 11455, 524, 130668, 128269, 129854, 16449, 50189, 624, 785, 78, 132159, 24790, 809, 263, 37810, 11, 131149, 220, 17, 24, 14, 19, 11, 128599, 128375, 129156, 126469, 79126, 128611, 128391, 128622, 220, 16, 19, 61328, 128254, 11, 130314, 129822, 65526, 128251, 141753, 129461, 128350, 390, 65526, 220, 17, 15, 18, 13, 132743, 128487, 128320, 220, 24, 24, 128251, 129276, 128761, 13, 350, 4076, 128452, 11, 132601, 2406, 124477, 128350, 47742, 128253, 130423, 138650, 129480, 128818, 79126, 128893, 2600, 62029, 128400, 128611, 130158, 78228, 132864, 128310, 128320, 85852, 129233, 53037, 129530, 128639, 130909, 624, 44, 78820, 129922, 128334, 9586, 624, 20897, 53022, 220, 17, 23, 14, 19, 11, 128436, 18971, 758, 2385, 64, 1225, 11, 1163, 124886, 62029, 129556, 97483, 64061, 128974, 758, 75169, 2600, 128345, 12789, 64061, 97483, 59735, 129126, 128441, 140923, 128410, 647, 72115, 130897, 130027, 130442, 128494, 128272, 64061, 128974, 96535, 79126, 128279, 128802, 129566, 128378, 128419, 125021, 143010, 128977, 126500, 128542, 922, 276, 128263, 128564, 128334, 9586, 128367, 521, 126303, 133465, 49213, 337, 624, 39, 135076, 19769, 128653, 128814, 128436, 18971, 758, 2385, 64, 1225, 2600, 128345, 11, 137295, 133796, 129126, 128441, 128339, 128273, 128340, 46051, 128251, 128354, 79126, 128279, 128802, 129566, 128250, 129410, 135571, 128575, 143010, 128411, 128977, 28776, 128542, 922, 276, 128263, 62029, 128400, 128334, 9586, 128534, 13580, 61758, 138650, 910, 644, 4223, 35468, 258, 11, 128666, 128444, 128334, 128373, 129141, 133465, 49213, 337, 624, 45, 3346, 52551, 15122, 11, 1163, 124886, 62029, 129556, 97483, 64061, 128974, 386, 562, 5368, 24474, 10946, 644, 13333, 258, 2600, 17669, 128441, 62029, 129556, 64061, 128974, 128268, 79126, 8943, 128373, 139081, 131797, 130985, 1163, 2185, 128396, 129888, 128356, 78228, 128419, 32965, 89208, 23165, 125641, 128376, 59735, 129018, 29974, 14133, 42683, 47742, 1163, 50483, 128760, 128599, 128375, 130681, 141839, 27021, 64061, 128974, 96535, 320, 85, 125044, 130668, 69086, 129018, 29974, 14133, 42683, 8, 128250, 129410, 135571, 130502, 131368, 129414, 128653, 128263, 130990, 128432, 134168, 128550, 624, 1282, 124603, 128270, 11, 128300, 220, 17, 22, 14, 19, 11, 78228, 62029, 129556, 97483, 130442, 128494, 128268, 79126, 128334, 9586, 62029, 13580, 137327, 138650, 910, 644, 4223, 35468, 258, 653, 128419, 125021, 79126, 128980, 220, 18, 62029, 13580, 7491, 79668, 128425, 922, 125093, 22693, 128513, 129227, 128338, 128482, 25798, 129477, 128379, 128580, 624, 47978, 51549, 1527, 71, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 50, 2863, 521, 126303, 133465, 11, 130442, 128494, 128980, 129029, 458, 128401, 128664, 94995, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 131160, 220, 17, 24, 14, 19, 11, 130017, 128573, 130442, 128494, 5540, 4229, 359, 11278, 9011, 2600, 128345, 128267, 128980, 129029, 458, 128401, 128664, 94995, 11, 128249, 128322, 922, 276, 130668, 129227, 128918, 128334, 128373, 59735, 129126, 128441, 128799, 131943, 11, 129949, 131368, 129414, 128486, 128784, 78228, 128367, 52537, 132864, 128465, 128260, 128367, 521, 126303, 133465, 49213, 337, 624, 1001, 42504, 131943, 130442, 128494, 128370, 131368, 129414, 128265, 128367, 521, 126303, 1112, 130442, 128494, 129888, 128356, 131368, 129414, 128367, 521, 126303, 133465, 49213, 337, 130442, 128494, 25, 425, 124651, 129566, 128622, 220, 16, 64061, 97483, 126341, 53638, 72, 1112, 137328, 130158, 132864, 128310, 521, 126303, 133465, 130442, 128494, 25, 131160, 136100, 1112, 910, 126303, 133465, 130442, 128494, 25, 386, 78820, 129922, 128334, 9586, 624, 25406, 128403, 128273, 63478, 129302, 5540, 4229, 359, 11278, 9011, 128930, 15122, 69086, 132214, 856, 258, 133015, 128311, 128482, 59735, 130017, 128573, 130442, 128494, 128265, 52537, 132864, 521, 126303, 133465, 130978, 76, 23165, 124504, 130535, 220, 16, 21, 14, 19, 13, 132546, 968, 24790, 809, 263, 37810, 128653, 128814, 129302, 5540, 4229, 359, 11278, 9011, 2600, 128345, 129591, 130388, 59735, 129302, 129213, 64061, 856, 258, 133015, 128265, 128289, 79126, 53037, 133776, 139810, 63478, 130978, 76, 126247, 64, 128268, 128260, 131084, 128740, 326, 125446, 89218, 968, 94994, 128367, 521, 126303, 133465, 49213, 337, 92105, 131871, 15122, 624, 33039, 5492, 128250, 6592, 128403, 96535, 11, 129302, 128268, 15122, 139081, 132314, 14854, 125044, 128401, 128366, 128457, 128573, 458, 128401, 59735, 130442, 128494, 624, 45, 55973, 130017, 128573, 128268, 79126, 128263, 129608, 132686, 78228, 132864, 128310, 128272, 127980, 129608, 132686, 63478, 128980, 128269, 62029, 97483, 1527, 33082, 472, 11455, 524, 130668, 128269, 129854, 16449, 50189, 624, 785, 78, 132159, 24790, 809, 263, 37810, 11, 131149, 220, 17, 24, 14, 19, 11, 128599, 128375, 129156, 126469, 79126, 128611, 128391, 128622, 220, 16, 19, 61328, 128254, 11, 130314, 129822, 65526, 128251, 141753, 129461, 128350, 390, 65526, 220, 17, 15, 18, 13, 132743, 128487, 128320, 220, 24, 24, 128251, 129276, 128761, 13, 350, 4076, 128452, 11, 132601, 2406, 124477, 128350, 47742, 128253, 130423, 138650, 129480, 128818, 79126, 128893, 2600, 62029, 128400, 128611, 130158, 78228, 132864, 128310, 128320, 85852, 129233, 53037, 129530, 128639, 130909, 624, 44, 78820, 129922, 128334, 9586, 624, 20897, 53022, 220, 17, 23, 14, 19, 11, 128436, 18971, 758, 2385, 64, 1225, 11, 1163, 124886, 62029, 129556, 97483, 64061, 128974, 758, 75169, 2600, 128345, 12789, 64061, 97483, 59735, 129126, 128441, 140923, 128410, 647, 72115, 130897, 130027, 130442, 128494, 128272, 64061, 128974, 96535, 79126, 128279, 128802, 129566, 128378, 128419, 125021, 143010, 128977, 126500, 128542, 922, 276, 128263, 128564, 128334, 9586, 128367, 521, 126303, 133465, 49213, 337, 624, 39, 135076, 19769, 128653, 128814, 128436, 18971, 758, 2385, 64, 1225, 2600, 128345, 11, 137295, 133796, 129126, 128441, 128339, 128273, 128340, 46051, 128251, 128354, 79126, 128279, 128802, 129566, 128250, 129410, 135571, 128575, 143010, 128411, 128977, 28776, 128542, 922, 276, 128263, 62029, 128400, 128334, 9586, 128534, 13580, 61758, 138650, 910, 644, 4223, 35468, 258, 11, 128666, 128444, 128334, 128373, 129141, 133465, 49213, 337, 624, 45, 3346, 52551, 15122, 11, 1163, 124886, 62029, 129556, 97483, 64061, 128974, 386, 562, 5368, 24474, 10946, 644, 13333, 258, 2600, 17669, 128441, 62029, 129556, 64061, 128974, 128268, 79126, 8943, 128373, 139081, 131797, 130985, 1163, 2185, 128396, 129888, 128356, 78228, 128419, 32965, 89208, 23165, 125641, 128376, 59735, 129018, 29974, 14133, 42683, 47742, 1163, 50483, 128760, 128599, 128375, 130681, 141839, 27021, 64061, 128974, 96535, 320, 85, 125044, 130668, 69086, 129018, 29974, 14133, 42683, 8, 128250, 129410, 135571, 130502, 131368, 129414, 128653, 128263, 130990, 128432, 134168, 128550, 624, 1282, 124603, 128270, 11, 128300, 220, 17, 22, 14, 19, 11, 78228, 62029, 129556, 97483, 130442, 128494, 128268, 79126, 128334, 9586, 62029, 13580, 137327, 138650, 910, 644, 4223, 35468, 258, 653, 128419, 125021, 79126, 128980, 220, 18, 62029, 13580, 7491, 79668, 128425, 922, 125093, 22693, 128513, 129227, 128338, 128482, 25798, 129477, 128379, 128580, 624, 47978, 51549, 1527, 71, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666 ]
667
[ 33, 88316, 128599, 94995, 128890, 28776, 128254, 128279, 138675, 128373, 128311, 128263, 220, 17, 129077, 128329, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 1599, 50674, 128356, 3275, 130375, 128373, 128311, 128265, 128441, 11, 129455, 293, 88316, 128599, 94995, 128890, 11, 129029, 128534, 458, 128456, 128415, 128373, 3275, 856, 86728, 131579, 128738, 129700, 11, 128373, 131140, 11, 138239, 79126, 72, 11, 132242, 130375, 98896, 126258, 11, 128310, 79479, 59735, 64061, 97483, 94995, 128890, 128267, 128279, 138675, 128263, 220, 17, 129077, 128329, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 40225, 39938, 128415, 128273, 63478, 128930, 15122, 128272, 126258, 132972, 141127, 128333, 126370, 128333, 129888, 138675, 3275, 130375, 128373, 128311, 69086, 132122, 128978, 458, 19550, 71, 11, 489, 52885, 128377, 11, 458, 128401, 128847, 128410, 26, 128441, 11, 129455, 139091, 132864, 128847, 128410, 624, 34, 50483, 128254, 11, 129029, 128534, 458, 128456, 128415, 138675, 128515, 94576, 220, 16, 12, 220, 16, 11, 20, 129077, 128329, 128421, 128250, 128373, 3275, 128826, 14854, 36745, 128882, 128560, 128761, 2600, 64061, 97483, 94995, 128890, 13, 129024, 128353, 128284, 18295, 129019, 128826, 14854, 36745, 128882, 128560, 128761, 2600, 64061, 97483, 94995, 128890, 128267, 128279, 138675, 128269, 129240, 2162, 78, 128304, 11, 94576, 220, 16, 11, 20, 12, 17, 129077, 128329, 624, 33, 85142, 131945, 53037, 131619, 131998, 64061, 97483, 94995, 128890, 37915, 128251, 71452, 11, 129553, 11, 138878, 259, 52885, 11, 128877, 128872, 28776, 17936, 11, 128877, 128872, 132645, 390, 128821, 128475, 128421, 129888, 137105, 72, 139091, 128250, 64061, 97483, 94995, 128890, 128260, 25, 128802, 137627, 77, 128442, 11, 137627, 77, 130069, 11, 128802, 129949, 9333, 83, 11, 131945, 48669, 331, 128268, 128267, 128279, 138675, 94576, 220, 16, 11, 20, 12, 17, 129077, 128329, 624, 44, 94963, 138675, 96535, 128268, 128267, 129470, 128284, 128421, 128250, 78228, 128373, 3275, 128861, 130540, 128475, 128362, 141873, 128379, 88057, 129281, 132642, 130821, 129169, 128379, 59735, 64061, 97483, 94995, 128890, 131763, 132242, 130375, 98896, 126258, 11, 128310, 79479, 26, 128362, 141873, 137971, 136978, 128475, 128353, 128284, 78228, 128675, 129698, 92430, 24790, 132242, 130375, 98896, 126258, 11, 128310, 79479, 64061, 97483, 94995, 128890, 624, 33, 88316, 128599, 128265, 595, 20868, 128384, 138675, 220, 16, 129077, 128329, 624, 33, 37678, 128534, 458, 128456, 128415, 138675, 94576, 220, 20, 15, 15, 13, 15, 15, 15, 12, 16, 129077, 128329, 128421, 128250, 128373, 3275, 129522, 134814, 137277, 521, 124760, 129738, 128556, 128311, 59735, 64061, 97483, 94995, 128890, 128475, 129738, 128556, 128311, 521, 2185, 59735, 94995, 128890, 131763, 128425, 2600, 64061, 97483, 94995, 128890, 128277, 128877, 129281, 128265, 128556, 128311, 13, 472, 48291, 3275, 135571, 64061, 97483, 94995, 128890, 130889, 131072, 128556, 128311, 132629, 128459, 129363, 128365, 59735, 126247, 128268, 128267, 128279, 138675, 128269, 129240, 96535, 624, 33, 27021, 129623, 128270, 11, 129029, 128268, 128456, 128415, 138675, 129111, 129410, 128475, 138675, 128515, 94576, 220, 16, 15, 15, 13, 15, 15, 15, 12, 18, 15, 15, 13, 15, 15, 15, 128329, 128421, 128250, 128249, 69086, 128253, 128373, 3275, 128260, 25, 356, 126424, 64061, 97483, 94995, 128890, 15122, 130553, 128275, 11, 133776, 272, 40707, 64061, 97483, 94995, 128890, 129233, 342, 125726, 128251, 128672, 11, 89437, 136078, 128475, 28776, 78228, 134666, 922, 276, 128457, 128847, 128410, 128319, 128513, 11, 136382, 128818, 131763, 129203, 134569, 128434, 128980, 11, 128882, 129470, 128599, 128454, 132278, 128265, 128396, 128356, 128421, 128250, 64061, 97483, 128270, 26, 53037, 2600, 64061, 97483, 94995, 128890, 128336, 128283, 128918, 128266, 128289, 26, 128454, 132278, 279, 78, 136753, 64061, 97483, 94995, 128890, 128378, 128356, 653, 342, 12032, 9765, 24015, 128882, 126341, 77, 131579, 128263, 98896, 126258, 11, 81900, 129913, 11, 128310, 79479, 59735, 64061, 97483, 128270, 624, 44, 94963, 138675, 128273, 128268, 63478, 128456, 128415, 129470, 128284, 128421, 128250, 78228, 128373, 3275, 272, 126726, 49410, 128403, 133647, 11, 14528, 133647, 11, 259, 124491, 133647, 128475, 272, 40707, 128570, 133647, 128310, 128377, 138030, 11, 129263, 128366, 128411, 128328, 128373, 131140, 11, 138239, 79126, 72, 11, 81900, 15588, 124778, 259, 20868, 129719, 26, 133776, 272, 40707, 128918, 133171, 9662, 11, 131619, 131998, 129181, 128436, 11, 129302, 47742, 136291, 26, 129181, 13517, 11, 128850, 47742, 390, 26, 129181, 130888, 47742, 130627, 26, 129181, 458, 71, 11, 126555, 11, 976, 128250, 20303, 2863, 26, 94576, 521, 87939, 128475, 489, 125044, 131282, 129598, 128367, 128376, 129852, 129181, 130888, 47742, 130627, 32154, 94994, 14528, 133647, 26, 129598, 128367, 128376, 129852, 11, 132645, 129852, 13517, 11, 128850, 624, 33, 37678, 128534, 458, 128348, 129483, 128431, 128935, 131072, 128431, 126258, 132972, 128273, 128272, 3910, 59735, 129029, 624, 26067, 71, 17275, 52551, 624, 51, 124185, 131774, 25, 220, 425, 88316, 128599, 94995, 128890, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33, 88316, 128599, 94995, 128890, 28776, 128254, 128279, 138675, 128373, 128311, 128263, 220, 17, 129077, 128329, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 1599, 50674, 128356, 3275, 130375, 128373, 128311, 128265, 128441, 11, 129455, 293, 88316, 128599, 94995, 128890, 11, 129029, 128534, 458, 128456, 128415, 128373, 3275, 856, 86728, 131579, 128738, 129700, 11, 128373, 131140, 11, 138239, 79126, 72, 11, 132242, 130375, 98896, 126258, 11, 128310, 79479, 59735, 64061, 97483, 94995, 128890, 128267, 128279, 138675, 128263, 220, 17, 129077, 128329, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 40225, 39938, 128415, 128273, 63478, 128930, 15122, 128272, 126258, 132972, 141127, 128333, 126370, 128333, 129888, 138675, 3275, 130375, 128373, 128311, 69086, 132122, 128978, 458, 19550, 71, 11, 489, 52885, 128377, 11, 458, 128401, 128847, 128410, 26, 128441, 11, 129455, 139091, 132864, 128847, 128410, 624, 34, 50483, 128254, 11, 129029, 128534, 458, 128456, 128415, 138675, 128515, 94576, 220, 16, 12, 220, 16, 11, 20, 129077, 128329, 128421, 128250, 128373, 3275, 128826, 14854, 36745, 128882, 128560, 128761, 2600, 64061, 97483, 94995, 128890, 13, 129024, 128353, 128284, 18295, 129019, 128826, 14854, 36745, 128882, 128560, 128761, 2600, 64061, 97483, 94995, 128890, 128267, 128279, 138675, 128269, 129240, 2162, 78, 128304, 11, 94576, 220, 16, 11, 20, 12, 17, 129077, 128329, 624, 33, 85142, 131945, 53037, 131619, 131998, 64061, 97483, 94995, 128890, 37915, 128251, 71452, 11, 129553, 11, 138878, 259, 52885, 11, 128877, 128872, 28776, 17936, 11, 128877, 128872, 132645, 390, 128821, 128475, 128421, 129888, 137105, 72, 139091, 128250, 64061, 97483, 94995, 128890, 128260, 25, 128802, 137627, 77, 128442, 11, 137627, 77, 130069, 11, 128802, 129949, 9333, 83, 11, 131945, 48669, 331, 128268, 128267, 128279, 138675, 94576, 220, 16, 11, 20, 12, 17, 129077, 128329, 624, 44, 94963, 138675, 96535, 128268, 128267, 129470, 128284, 128421, 128250, 78228, 128373, 3275, 128861, 130540, 128475, 128362, 141873, 128379, 88057, 129281, 132642, 130821, 129169, 128379, 59735, 64061, 97483, 94995, 128890, 131763, 132242, 130375, 98896, 126258, 11, 128310, 79479, 26, 128362, 141873, 137971, 136978, 128475, 128353, 128284, 78228, 128675, 129698, 92430, 24790, 132242, 130375, 98896, 126258, 11, 128310, 79479, 64061, 97483, 94995, 128890, 624, 33, 88316, 128599, 128265, 595, 20868, 128384, 138675, 220, 16, 129077, 128329, 624, 33, 37678, 128534, 458, 128456, 128415, 138675, 94576, 220, 20, 15, 15, 13, 15, 15, 15, 12, 16, 129077, 128329, 128421, 128250, 128373, 3275, 129522, 134814, 137277, 521, 124760, 129738, 128556, 128311, 59735, 64061, 97483, 94995, 128890, 128475, 129738, 128556, 128311, 521, 2185, 59735, 94995, 128890, 131763, 128425, 2600, 64061, 97483, 94995, 128890, 128277, 128877, 129281, 128265, 128556, 128311, 13, 472, 48291, 3275, 135571, 64061, 97483, 94995, 128890, 130889, 131072, 128556, 128311, 132629, 128459, 129363, 128365, 59735, 126247, 128268, 128267, 128279, 138675, 128269, 129240, 96535, 624, 33, 27021, 129623, 128270, 11, 129029, 128268, 128456, 128415, 138675, 129111, 129410, 128475, 138675, 128515, 94576, 220, 16, 15, 15, 13, 15, 15, 15, 12, 18, 15, 15, 13, 15, 15, 15, 128329, 128421, 128250, 128249, 69086, 128253, 128373, 3275, 128260, 25, 356, 126424, 64061, 97483, 94995, 128890, 15122, 130553, 128275, 11, 133776, 272, 40707, 64061, 97483, 94995, 128890, 129233, 342, 125726, 128251, 128672, 11, 89437, 136078, 128475, 28776, 78228, 134666, 922, 276, 128457, 128847, 128410, 128319, 128513, 11, 136382, 128818, 131763, 129203, 134569, 128434, 128980, 11, 128882, 129470, 128599, 128454, 132278, 128265, 128396, 128356, 128421, 128250, 64061, 97483, 128270, 26, 53037, 2600, 64061, 97483, 94995, 128890, 128336, 128283, 128918, 128266, 128289, 26, 128454, 132278, 279, 78, 136753, 64061, 97483, 94995, 128890, 128378, 128356, 653, 342, 12032, 9765, 24015, 128882, 126341, 77, 131579, 128263, 98896, 126258, 11, 81900, 129913, 11, 128310, 79479, 59735, 64061, 97483, 128270, 624, 44, 94963, 138675, 128273, 128268, 63478, 128456, 128415, 129470, 128284, 128421, 128250, 78228, 128373, 3275, 272, 126726, 49410, 128403, 133647, 11, 14528, 133647, 11, 259, 124491, 133647, 128475, 272, 40707, 128570, 133647, 128310, 128377, 138030, 11, 129263, 128366, 128411, 128328, 128373, 131140, 11, 138239, 79126, 72, 11, 81900, 15588, 124778, 259, 20868, 129719, 26, 133776, 272, 40707, 128918, 133171, 9662, 11, 131619, 131998, 129181, 128436, 11, 129302, 47742, 136291, 26, 129181, 13517, 11, 128850, 47742, 390, 26, 129181, 130888, 47742, 130627, 26, 129181, 458, 71, 11, 126555, 11, 976, 128250, 20303, 2863, 26, 94576, 521, 87939, 128475, 489, 125044, 131282, 129598, 128367, 128376, 129852, 129181, 130888, 47742, 130627, 32154, 94994, 14528, 133647, 26, 129598, 128367, 128376, 129852, 11, 132645, 129852, 13517, 11, 128850, 624, 33, 37678, 128534, 458, 128348, 129483, 128431, 128935, 131072, 128431, 126258, 132972, 128273, 128272, 3910, 59735, 129029, 624, 26067, 71, 17275, 52551, 624, 51, 124185, 131774, 25, 220, 425, 88316, 128599, 94995, 128890, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747 ]
748
[ 51, 87939, 308, 352, 11, 23165, 2143, 296, 124904, 129393, 128410, 128329, 358, 6325, 12, 16, 18, 17, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 647, 125017, 220, 16, 24, 71, 18, 15, 129597, 308, 352, 320, 17, 23, 14, 18, 701, 128272, 132850, 136856, 7767, 27021, 135196, 59735, 129645, 128494, 128410, 481, 128521, 128685, 128267, 128960, 15122, 444, 124417, 23165, 2143, 296, 124904, 129393, 128410, 128329, 130578, 1308, 71, 130097, 129972, 128314, 128449, 128568, 128720, 220, 16, 18, 17, 320, 3298, 52, 12, 16, 18, 17, 4292, 79759, 6362, 128494, 128410, 481, 128837, 128960, 15122, 131309, 23165, 2143, 296, 124904, 358, 6325, 12, 16, 18, 17, 13, 220, 126884, 16719, 25, 647, 24430, 27233, 124310, 142840, 624, 1001, 309, 126258, 131309, 23165, 2143, 296, 124904, 28776, 128304, 220, 24, 15, 15, 128479, 129626, 128479, 129054, 2600, 220, 16, 21, 15, 129675, 128263, 94576, 78228, 130097, 129972, 64061, 97483, 11, 64061, 97483, 128542, 128403, 11, 922, 276, 129261, 97483, 47742, 128351, 137558, 128664, 128384, 624, 40225, 37059, 128410, 128329, 358, 6325, 12, 16, 18, 17, 11, 128960, 15122, 94576, 220, 17, 23, 14, 18, 12, 16, 14, 19, 11, 37915, 128277, 129065, 128311, 128466, 28776, 128431, 129598, 128717, 128353, 12, 70590, 37059, 342, 22516, 128906, 128738, 311, 128465, 11, 128254, 128283, 259, 20868, 129719, 128427, 128285, 47742, 128761, 129541, 128410, 62572, 131307, 129922, 59735, 128494, 128410, 128324, 29974, 11, 128249, 64061, 97483, 28776, 131368, 129414, 69086, 126341, 128502, 128542, 130097, 129972, 128401, 128451, 47742, 128444, 128314, 59735, 128324, 29974, 128273, 128331, 128664, 128384, 624, 51, 37059, 129393, 128410, 128329, 11, 130097, 274, 125093, 94576, 78228, 128837, 128273, 128314, 128449, 128267, 270, 309, 94995, 132972, 129748, 128265, 128427, 128456, 128678, 129203, 128575, 128362, 128531, 135268, 135584, 11, 128871, 128814, 128339, 64061, 128373, 128285, 13, 130244, 37915, 128427, 128456, 128465, 50196, 128439, 128550, 128396, 11, 128727, 128826, 128309, 128403, 128432, 128336, 128283, 386, 92704, 128575, 131460, 132883, 132551, 320, 6076, 81152, 8, 126199, 78228, 64061, 97483, 130578, 472, 84300, 79, 128494, 79126, 6592, 128403, 128818, 137125, 94576, 128290, 220, 17, 15, 15, 15, 11, 128727, 128456, 15122, 128253, 138411, 133787, 2600, 128277, 128362, 128531, 128424, 279, 78, 624, 33, 77689, 128484, 128804, 129591, 130388, 128267, 137173, 128859, 129372, 128424, 444, 124417, 23165, 2143, 296, 124904, 86139, 220, 16, 24, 71, 18, 15, 129597, 308, 352, 624, 52971, 124644, 142840, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 51, 87939, 308, 352, 11, 23165, 2143, 296, 124904, 129393, 128410, 128329, 358, 6325, 12, 16, 18, 17, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 647, 125017, 220, 16, 24, 71, 18, 15, 129597, 308, 352, 320, 17, 23, 14, 18, 701, 128272, 132850, 136856, 7767, 27021, 135196, 59735, 129645, 128494, 128410, 481, 128521, 128685, 128267, 128960, 15122, 444, 124417, 23165, 2143, 296, 124904, 129393, 128410, 128329, 130578, 1308, 71, 130097, 129972, 128314, 128449, 128568, 128720, 220, 16, 18, 17, 320, 3298, 52, 12, 16, 18, 17, 4292, 79759, 6362, 128494, 128410, 481, 128837, 128960, 15122, 131309, 23165, 2143, 296, 124904, 358, 6325, 12, 16, 18, 17, 13, 220, 126884, 16719, 25, 647, 24430, 27233, 124310, 142840, 624, 1001, 309, 126258, 131309, 23165, 2143, 296, 124904, 28776, 128304, 220, 24, 15, 15, 128479, 129626, 128479, 129054, 2600, 220, 16, 21, 15, 129675, 128263, 94576, 78228, 130097, 129972, 64061, 97483, 11, 64061, 97483, 128542, 128403, 11, 922, 276, 129261, 97483, 47742, 128351, 137558, 128664, 128384, 624, 40225, 37059, 128410, 128329, 358, 6325, 12, 16, 18, 17, 11, 128960, 15122, 94576, 220, 17, 23, 14, 18, 12, 16, 14, 19, 11, 37915, 128277, 129065, 128311, 128466, 28776, 128431, 129598, 128717, 128353, 12, 70590, 37059, 342, 22516, 128906, 128738, 311, 128465, 11, 128254, 128283, 259, 20868, 129719, 128427, 128285, 47742, 128761, 129541, 128410, 62572, 131307, 129922, 59735, 128494, 128410, 128324, 29974, 11, 128249, 64061, 97483, 28776, 131368, 129414, 69086, 126341, 128502, 128542, 130097, 129972, 128401, 128451, 47742, 128444, 128314, 59735, 128324, 29974, 128273, 128331, 128664, 128384, 624, 51, 37059, 129393, 128410, 128329, 11, 130097, 274, 125093, 94576, 78228, 128837, 128273, 128314, 128449, 128267, 270, 309, 94995, 132972, 129748, 128265, 128427, 128456, 128678, 129203, 128575, 128362, 128531, 135268, 135584, 11, 128871, 128814, 128339, 64061, 128373, 128285, 13, 130244, 37915, 128427, 128456, 128465, 50196, 128439, 128550, 128396, 11, 128727, 128826, 128309, 128403, 128432, 128336, 128283, 386, 92704, 128575, 131460, 132883, 132551, 320, 6076, 81152, 8, 126199, 78228, 64061, 97483, 130578, 472, 84300, 79, 128494, 79126, 6592, 128403, 128818, 137125, 94576, 128290, 220, 17, 15, 15, 15, 11, 128727, 128456, 15122, 128253, 138411, 133787, 2600, 128277, 128362, 128531, 128424, 279, 78, 624, 33, 77689, 128484, 128804, 129591, 130388, 128267, 137173, 128859, 129372, 128424, 444, 124417, 23165, 2143, 296, 124904, 86139, 220, 16, 24, 71, 18, 15, 129597, 308, 352, 624, 52971, 124644, 142840, 624, 151645 ]
[ 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
[ 43, 124315, 294, 65762, 77, 94994, 38830, 20303, 77869, 59735, 129639, 130700, 85636, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 422, 14926, 79126, 73586, 71800, 11, 5492, 128564, 129169, 11, 128277, 128386, 11, 128379, 129608, 47742, 136562, 139227, 128854, 138063, 11, 128277, 296, 125672, 128451, 134127, 133765, 2600, 128906, 270, 127200, 128728, 128251, 59735, 130085, 131443, 129785, 131868, 92155, 47742, 128450, 7767, 521, 124411, 59735, 129639, 128487, 128424, 128884, 37915, 129738, 128467, 141163, 2600, 130990, 128314, 624, 79759, 125431, 64061, 128377, 84, 128717, 128353, 73525, 220, 19, 20, 128290, 128336, 128283, 1112, 131160, 96535, 220, 21, 24, 128290, 128371, 481, 128324, 29974, 129703, 128980, 624, 1143, 42504, 131443, 129785, 131868, 92155, 133171, 47742, 128339, 128963, 128250, 128329, 135774, 131638, 131249, 350, 9574, 320, 2183, 124428, 451, 20868, 701, 220, 20, 14, 16, 24, 21, 16, 13, 220, 126884, 16719, 25, 21305, 713, 71, 4953, 318, 20868, 759, 1387, 332, 713, 14156, 75157, 624, 1282, 644, 134601, 128564, 129169, 128623, 128285, 128328, 129461, 59735, 128312, 11, 129785, 131868, 92155, 53037, 98127, 37915, 128249, 128251, 130700, 85636, 128324, 29974, 129643, 296, 92302, 11, 129639, 128320, 37915, 129009, 128916, 130700, 85636, 128664, 128384, 69086, 128688, 11, 132601, 521, 2185, 11, 128787, 922, 276, 128396, 128263, 128277, 128362, 128531, 521, 2185, 59735, 1319, 644, 489, 125017, 130700, 85636, 47742, 62029, 128310, 128664, 128384, 624, 1282, 644, 7767, 521, 124411, 11, 94994, 128839, 128265, 1319, 644, 489, 125017, 130700, 85636, 128664, 128384, 11, 129785, 131868, 92155, 128839, 25, 127314, 128249, 128251, 134601, 129169, 128904, 128367, 128328, 129461, 11, 128296, 129357, 128377, 305, 125017, 128250, 128277, 128465, 128818, 59735, 1319, 644, 489, 125017, 130700, 85636, 47742, 62029, 128310, 128664, 128384, 293, 3441, 135594, 11, 128291, 128296, 129357, 129952, 98170, 293, 84455, 135594, 128378, 128277, 128633, 130669, 128283, 308, 352, 129181, 78228, 140431, 458, 71, 976, 624, 785, 78, 129639, 11, 128253, 128633, 128329, 11, 521, 685, 435, 124760, 128270, 53037, 98127, 128266, 128757, 73586, 129738, 128738, 128818, 59735, 128277, 128386, 129507, 23686, 71, 128486, 136607, 94995, 72, 128376, 11, 128486, 136607, 390, 128251, 126199, 128320, 521, 685, 435, 124760, 135836, 129675, 128403, 11, 128281, 128597, 59735, 78228, 128599, 128375, 128394, 128427, 11, 128498, 95799, 124761, 130669, 128823, 11, 129263, 128366, 128273, 128314, 128449, 624, 53, 6362, 128268, 128345, 128640, 128312, 128268, 128267, 128263, 128300, 128265, 128250, 78228, 138270, 128515, 128310, 11, 130085, 131443, 129785, 131868, 92155, 79126, 130506, 128253, 128396, 128379, 86139, 7767, 521, 124411, 47742, 74542, 220, 124603, 25, 134845, 37915, 128249, 129414, 128367, 922, 276, 128550, 69086, 128623, 128285, 128421, 130906, 59735, 134355, 11, 79668, 131072, 128463, 14854, 124431, 128599, 86139, 128289, 23165, 124312, 128904, 85852, 135836, 129675, 128403, 129681, 293, 1953, 84, 129181, 78228, 140431, 458, 71, 976, 624, 42, 6023, 38830, 20303, 77869, 69086, 128444, 128314, 128249, 129031, 128799, 128664, 94995, 11, 128249, 129785, 131868, 92155, 128268, 128323, 130631, 127657, 128273, 272, 85375, 128444, 128249, 131400, 126411, 59735, 128310, 128394, 128324, 29974, 13, 425, 3441, 128626, 47742, 128269, 129625, 11, 128268, 128487, 7777, 124315, 128688, 128249, 129785, 131868, 92155, 481, 136562, 139227, 59735, 128854, 138063, 128328, 129461, 11, 128997, 62029, 128867, 128379, 624, 36459, 125456, 129169, 128498, 128560, 128310, 128394, 11, 94994, 15122, 73586, 8988, 126493, 10908, 87939, 128465, 128281, 59735, 129639, 37915, 134601, 129169, 128296, 128906, 98170, 128906, 128738, 128904, 128367, 126778, 128664, 11, 128904, 128367, 128328, 129461, 11, 128904, 128367, 128310, 128394, 13, 98073, 129655, 128282, 94576, 128589, 128314, 128449, 96535, 11, 128296, 53037, 28776, 128334, 128382, 128282, 305, 87939, 305, 72115, 11, 98127, 8988, 126493, 37915, 8988, 126493, 128640, 53037, 63478, 128904, 128367, 129986, 128304, 128870, 11, 128271, 128304, 128870, 624, 53, 23531, 128490, 11, 129639, 74542, 521, 43906, 128317, 126341, 128502, 9805, 71, 128890, 11, 79668, 130553, 131399, 968, 128812, 128291, 128626, 47742, 128515, 134424, 59735, 128310, 128394, 47742, 128498, 128451, 63478, 143225, 64, 79584, 968, 13, 41016, 128270, 12789, 128463, 8185, 272, 125456, 59735, 129639, 79668, 86139, 12789, 139127, 274, 48291, 11, 128260, 128419, 128498, 128560, 48488, 128422, 59735, 129639, 130176, 2600, 128329, 135774, 128269, 125440, 12789, 133318, 130726, 481, 1163, 2185, 481, 29974, 9338, 40225, 1794, 128311, 37915, 128379, 129608, 11, 128419, 128467, 47742, 136562, 98170, 59735, 128251, 390, 128787, 128846, 128265, 135348, 133899, 128750, 128301, 11, 128265, 390, 128251, 11, 128846, 128265, 128253, 128334, 128418, 128501, 11, 128482, 129018, 128728, 128396, 305, 125196, 624, 53, 51947, 128431, 129598, 128270, 11, 128253, 128334, 130085, 131443, 129785, 131868, 92155, 294, 65762, 77, 85852, 69086, 7767, 521, 124411, 133456, 143201, 128309, 128466, 128379, 129608, 47742, 259, 20868, 129719, 11, 128403, 259, 20868, 94576, 128564, 129169, 128623, 128285, 128328, 129461, 53037, 296, 124382, 142306, 59735, 128249, 390, 128251, 79126, 128570, 64061, 305, 125593, 129752, 7777, 352, 94576, 94994, 128320, 128480, 624, 51, 18934, 129608, 47742, 128419, 128467, 128270, 53037, 98127, 50196, 85852, 128277, 128726, 129169, 2600, 128394, 133952, 128324, 29974, 11, 126199, 128320, 131881, 85852, 136141, 24790, 129608, 58865, 16719, 137513, 47742, 23165, 16685, 130949, 86139, 128249, 128300, 16737, 133683, 128501, 2600, 129202, 125440, 78228, 128394, 133952, 128498, 95799, 124761, 128377, 653, 11, 62029, 128356, 128273, 128401, 128314, 128449, 624, 35, 88771, 128253, 137425, 94576, 130631, 127657, 128281, 79668, 129626, 129664, 128530, 128465, 1187, 78, 59735, 128379, 129608, 11, 7767, 521, 124411, 129785, 131868, 92155, 37915, 128253, 128814, 129742, 143219, 14854, 6362, 128450, 129222, 128683, 128585, 128394, 133952, 47742, 128327, 128479, 11, 128410, 126411, 69086, 128270, 11386, 52551, 293, 3413, 47742, 128419, 128467, 59735, 128249, 128275, 128683, 128585, 128465, 13, 2350, 40707, 18698, 16719, 128396, 305, 125196, 128249, 128275, 128328, 129461, 128310, 128854, 26, 128597, 9765, 25232, 11, 128379, 129608, 59735, 128249, 128275, 128623, 128285, 128328, 129461, 22693, 128454, 26, 98170, 128867, 128379, 130545, 128421, 11, 128419, 128498, 59735, 129639, 128421, 128250, 128310, 128394, 11, 128250, 131265, 128452, 69086, 7767, 521, 124411, 53037, 28776, 128382, 773, 274, 124415, 129144, 624, 53, 6362, 294, 77869, 128260, 128814, 129742, 59735, 128249, 390, 128251, 128345, 128339, 128350, 128253, 128814, 128360, 128339, 86139, 129058, 94995, 72, 130393, 128717, 128353, 11, 128253, 128814, 128339, 130631, 127657, 11, 129315, 129240, 11, 53037, 128683, 11386, 64, 128344, 132611, 131307, 86139, 130641, 6792, 11, 135836, 40867, 66, 59735, 128981, 128251, 11, 128960, 129664, 128334, 126199, 128728, 128251, 128467, 128391, 131307, 71800, 128281, 69086, 98170, 128312, 128344, 128651, 128960, 129664, 63478, 11, 128582, 128410, 126411, 69086, 128450, 7767, 521, 124411, 128717, 128353, 59735, 129785, 131868, 92155, 624, 44, 84453, 128334, 129785, 131868, 92155, 489, 124626, 128570, 11, 294, 65762, 77, 85852, 69086, 7767, 521, 124411, 128582, 133456, 26023, 136562, 98170, 128249, 15588, 69243, 128310, 128421, 128250, 390, 128251, 11, 128250, 131265, 128452, 11, 128250, 135348, 133899, 128750, 128301, 11, 131084, 18698, 16719, 128379, 129608, 11, 128419, 128467, 11, 128854, 138063, 47742, 128396, 305, 125196, 128249, 128251, 390, 130483, 89218, 59735, 128394, 133952, 128324, 26, 128283, 128672, 259, 20868, 129719, 11, 128556, 128365, 47742, 128396, 305, 125196, 59735, 128251, 128394, 128324, 26, 128283, 128672, 59735, 259, 20868, 129719, 128498, 128377, 653, 48488, 128422, 11, 128823, 127657, 126199, 348, 124536, 128479, 11, 128394, 133952, 126199, 128327, 128479, 13, 134845, 37915, 1853, 85636, 128633, 305, 42504, 11, 143219, 14854, 6362, 128450, 129222, 128394, 133952, 47742, 128327, 128479, 11, 37915, 128277, 128482, 129018, 59735, 128310, 128396, 11, 59735, 128597, 9765, 25232, 11, 59735, 294, 125432, 129019, 129785, 131868, 92155, 130506, 85852, 2600, 78228, 128314, 128457, 16737, 32154, 624, 44819, 124510, 129169, 129639, 11, 128250, 128253, 128382, 129639, 79126, 73586, 11, 79126, 128263, 47742, 129009, 131457, 26, 128250, 129202, 125440, 128253, 128382, 129639, 79126, 128266, 11, 79126, 308, 124634, 139227, 47742, 79668, 85852, 11, 28776, 128356, 47742, 28776, 128419, 11, 128267, 128480, 134752, 73525, 78228, 128327, 128479, 624, 30424, 78, 21305, 713, 71, 4953, 318, 20868, 759, 1387, 332, 713, 14156, 75157, 4292, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 43, 124315, 294, 65762, 77, 94994, 38830, 20303, 77869, 59735, 129639, 130700, 85636, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 422, 14926, 79126, 73586, 71800, 11, 5492, 128564, 129169, 11, 128277, 128386, 11, 128379, 129608, 47742, 136562, 139227, 128854, 138063, 11, 128277, 296, 125672, 128451, 134127, 133765, 2600, 128906, 270, 127200, 128728, 128251, 59735, 130085, 131443, 129785, 131868, 92155, 47742, 128450, 7767, 521, 124411, 59735, 129639, 128487, 128424, 128884, 37915, 129738, 128467, 141163, 2600, 130990, 128314, 624, 79759, 125431, 64061, 128377, 84, 128717, 128353, 73525, 220, 19, 20, 128290, 128336, 128283, 1112, 131160, 96535, 220, 21, 24, 128290, 128371, 481, 128324, 29974, 129703, 128980, 624, 1143, 42504, 131443, 129785, 131868, 92155, 133171, 47742, 128339, 128963, 128250, 128329, 135774, 131638, 131249, 350, 9574, 320, 2183, 124428, 451, 20868, 701, 220, 20, 14, 16, 24, 21, 16, 13, 220, 126884, 16719, 25, 21305, 713, 71, 4953, 318, 20868, 759, 1387, 332, 713, 14156, 75157, 624, 1282, 644, 134601, 128564, 129169, 128623, 128285, 128328, 129461, 59735, 128312, 11, 129785, 131868, 92155, 53037, 98127, 37915, 128249, 128251, 130700, 85636, 128324, 29974, 129643, 296, 92302, 11, 129639, 128320, 37915, 129009, 128916, 130700, 85636, 128664, 128384, 69086, 128688, 11, 132601, 521, 2185, 11, 128787, 922, 276, 128396, 128263, 128277, 128362, 128531, 521, 2185, 59735, 1319, 644, 489, 125017, 130700, 85636, 47742, 62029, 128310, 128664, 128384, 624, 1282, 644, 7767, 521, 124411, 11, 94994, 128839, 128265, 1319, 644, 489, 125017, 130700, 85636, 128664, 128384, 11, 129785, 131868, 92155, 128839, 25, 127314, 128249, 128251, 134601, 129169, 128904, 128367, 128328, 129461, 11, 128296, 129357, 128377, 305, 125017, 128250, 128277, 128465, 128818, 59735, 1319, 644, 489, 125017, 130700, 85636, 47742, 62029, 128310, 128664, 128384, 293, 3441, 135594, 11, 128291, 128296, 129357, 129952, 98170, 293, 84455, 135594, 128378, 128277, 128633, 130669, 128283, 308, 352, 129181, 78228, 140431, 458, 71, 976, 624, 785, 78, 129639, 11, 128253, 128633, 128329, 11, 521, 685, 435, 124760, 128270, 53037, 98127, 128266, 128757, 73586, 129738, 128738, 128818, 59735, 128277, 128386, 129507, 23686, 71, 128486, 136607, 94995, 72, 128376, 11, 128486, 136607, 390, 128251, 126199, 128320, 521, 685, 435, 124760, 135836, 129675, 128403, 11, 128281, 128597, 59735, 78228, 128599, 128375, 128394, 128427, 11, 128498, 95799, 124761, 130669, 128823, 11, 129263, 128366, 128273, 128314, 128449, 624, 53, 6362, 128268, 128345, 128640, 128312, 128268, 128267, 128263, 128300, 128265, 128250, 78228, 138270, 128515, 128310, 11, 130085, 131443, 129785, 131868, 92155, 79126, 130506, 128253, 128396, 128379, 86139, 7767, 521, 124411, 47742, 74542, 220, 124603, 25, 134845, 37915, 128249, 129414, 128367, 922, 276, 128550, 69086, 128623, 128285, 128421, 130906, 59735, 134355, 11, 79668, 131072, 128463, 14854, 124431, 128599, 86139, 128289, 23165, 124312, 128904, 85852, 135836, 129675, 128403, 129681, 293, 1953, 84, 129181, 78228, 140431, 458, 71, 976, 624, 42, 6023, 38830, 20303, 77869, 69086, 128444, 128314, 128249, 129031, 128799, 128664, 94995, 11, 128249, 129785, 131868, 92155, 128268, 128323, 130631, 127657, 128273, 272, 85375, 128444, 128249, 131400, 126411, 59735, 128310, 128394, 128324, 29974, 13, 425, 3441, 128626, 47742, 128269, 129625, 11, 128268, 128487, 7777, 124315, 128688, 128249, 129785, 131868, 92155, 481, 136562, 139227, 59735, 128854, 138063, 128328, 129461, 11, 128997, 62029, 128867, 128379, 624, 36459, 125456, 129169, 128498, 128560, 128310, 128394, 11, 94994, 15122, 73586, 8988, 126493, 10908, 87939, 128465, 128281, 59735, 129639, 37915, 134601, 129169, 128296, 128906, 98170, 128906, 128738, 128904, 128367, 126778, 128664, 11, 128904, 128367, 128328, 129461, 11, 128904, 128367, 128310, 128394, 13, 98073, 129655, 128282, 94576, 128589, 128314, 128449, 96535, 11, 128296, 53037, 28776, 128334, 128382, 128282, 305, 87939, 305, 72115, 11, 98127, 8988, 126493, 37915, 8988, 126493, 128640, 53037, 63478, 128904, 128367, 129986, 128304, 128870, 11, 128271, 128304, 128870, 624, 53, 23531, 128490, 11, 129639, 74542, 521, 43906, 128317, 126341, 128502, 9805, 71, 128890, 11, 79668, 130553, 131399, 968, 128812, 128291, 128626, 47742, 128515, 134424, 59735, 128310, 128394, 47742, 128498, 128451, 63478, 143225, 64, 79584, 968, 13, 41016, 128270, 12789, 128463, 8185, 272, 125456, 59735, 129639, 79668, 86139, 12789, 139127, 274, 48291, 11, 128260, 128419, 128498, 128560, 48488, 128422, 59735, 129639, 130176, 2600, 128329, 135774, 128269, 125440, 12789, 133318, 130726, 481, 1163, 2185, 481, 29974, 9338, 40225, 1794, 128311, 37915, 128379, 129608, 11, 128419, 128467, 47742, 136562, 98170, 59735, 128251, 390, 128787, 128846, 128265, 135348, 133899, 128750, 128301, 11, 128265, 390, 128251, 11, 128846, 128265, 128253, 128334, 128418, 128501, 11, 128482, 129018, 128728, 128396, 305, 125196, 624, 53, 51947, 128431, 129598, 128270, 11, 128253, 128334, 130085, 131443, 129785, 131868, 92155, 294, 65762, 77, 85852, 69086, 7767, 521, 124411, 133456, 143201, 128309, 128466, 128379, 129608, 47742, 259, 20868, 129719, 11, 128403, 259, 20868, 94576, 128564, 129169, 128623, 128285, 128328, 129461, 53037, 296, 124382, 142306, 59735, 128249, 390, 128251, 79126, 128570, 64061, 305, 125593, 129752, 7777, 352, 94576, 94994, 128320, 128480, 624, 51, 18934, 129608, 47742, 128419, 128467, 128270, 53037, 98127, 50196, 85852, 128277, 128726, 129169, 2600, 128394, 133952, 128324, 29974, 11, 126199, 128320, 131881, 85852, 136141, 24790, 129608, 58865, 16719, 137513, 47742, 23165, 16685, 130949, 86139, 128249, 128300, 16737, 133683, 128501, 2600, 129202, 125440, 78228, 128394, 133952, 128498, 95799, 124761, 128377, 653, 11, 62029, 128356, 128273, 128401, 128314, 128449, 624, 35, 88771, 128253, 137425, 94576, 130631, 127657, 128281, 79668, 129626, 129664, 128530, 128465, 1187, 78, 59735, 128379, 129608, 11, 7767, 521, 124411, 129785, 131868, 92155, 37915, 128253, 128814, 129742, 143219, 14854, 6362, 128450, 129222, 128683, 128585, 128394, 133952, 47742, 128327, 128479, 11, 128410, 126411, 69086, 128270, 11386, 52551, 293, 3413, 47742, 128419, 128467, 59735, 128249, 128275, 128683, 128585, 128465, 13, 2350, 40707, 18698, 16719, 128396, 305, 125196, 128249, 128275, 128328, 129461, 128310, 128854, 26, 128597, 9765, 25232, 11, 128379, 129608, 59735, 128249, 128275, 128623, 128285, 128328, 129461, 22693, 128454, 26, 98170, 128867, 128379, 130545, 128421, 11, 128419, 128498, 59735, 129639, 128421, 128250, 128310, 128394, 11, 128250, 131265, 128452, 69086, 7767, 521, 124411, 53037, 28776, 128382, 773, 274, 124415, 129144, 624, 53, 6362, 294, 77869, 128260, 128814, 129742, 59735, 128249, 390, 128251, 128345, 128339, 128350, 128253, 128814, 128360, 128339, 86139, 129058, 94995, 72, 130393, 128717, 128353, 11, 128253, 128814, 128339, 130631, 127657, 11, 129315, 129240, 11, 53037, 128683, 11386, 64, 128344, 132611, 131307, 86139, 130641, 6792, 11, 135836, 40867, 66, 59735, 128981, 128251, 11, 128960, 129664, 128334, 126199, 128728, 128251, 128467, 128391, 131307, 71800, 128281, 69086, 98170, 128312, 128344, 128651, 128960, 129664, 63478, 11, 128582, 128410, 126411, 69086, 128450, 7767, 521, 124411, 128717, 128353, 59735, 129785, 131868, 92155, 624, 44, 84453, 128334, 129785, 131868, 92155, 489, 124626, 128570, 11, 294, 65762, 77, 85852, 69086, 7767, 521, 124411, 128582, 133456, 26023, 136562, 98170, 128249, 15588, 69243, 128310, 128421, 128250, 390, 128251, 11, 128250, 131265, 128452, 11, 128250, 135348, 133899, 128750, 128301, 11, 131084, 18698, 16719, 128379, 129608, 11, 128419, 128467, 11, 128854, 138063, 47742, 128396, 305, 125196, 128249, 128251, 390, 130483, 89218, 59735, 128394, 133952, 128324, 26, 128283, 128672, 259, 20868, 129719, 11, 128556, 128365, 47742, 128396, 305, 125196, 59735, 128251, 128394, 128324, 26, 128283, 128672, 59735, 259, 20868, 129719, 128498, 128377, 653, 48488, 128422, 11, 128823, 127657, 126199, 348, 124536, 128479, 11, 128394, 133952, 126199, 128327, 128479, 13, 134845, 37915, 1853, 85636, 128633, 305, 42504, 11, 143219, 14854, 6362, 128450, 129222, 128394, 133952, 47742, 128327, 128479, 11, 37915, 128277, 128482, 129018, 59735, 128310, 128396, 11, 59735, 128597, 9765, 25232, 11, 59735, 294, 125432, 129019, 129785, 131868, 92155, 130506, 85852, 2600, 78228, 128314, 128457, 16737, 32154, 624, 44819, 124510, 129169, 129639, 11, 128250, 128253, 128382, 129639, 79126, 73586, 11, 79126, 128263, 47742, 129009, 131457, 26, 128250, 129202, 125440, 128253, 128382, 129639, 79126, 128266, 11, 79126, 308, 124634, 139227, 47742, 79668, 85852, 11, 28776, 128356, 47742, 28776, 128419, 11, 128267, 128480, 134752, 73525, 78228, 128327, 128479, 624, 30424, 78, 21305, 713, 71, 4953, 318, 20868, 759, 1387, 332, 713, 14156, 75157, 4292, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262 ]
1,263
[ 39, 124886, 128740, 131160, 386, 124312, 128331, 128314, 128449, 220, 20, 14, 21, 14, 17, 15, 16, 19, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128727, 28776, 62029, 128683, 130506, 78228, 129029, 11, 8943, 11, 129857, 11, 129675, 128254, 1163, 2185, 220, 85375, 26, 73061, 8065, 78228, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 128456, 130097, 126341, 128502, 78228, 128623, 128285, 129589, 128740, 131160, 386, 124312, 128331, 128314, 128449, 220, 20, 14, 21, 14, 17, 15, 16, 19, 624, 39, 3202, 88, 128373, 128285, 79668, 133776, 128301, 130027, 294, 8835, 968, 481, 220, 126884, 16719, 1308, 71, 126247, 64, 624, 45, 77354, 220, 17, 15, 16, 19, 63478, 130578, 128319, 128664, 128509, 37915, 133670, 128494, 128384, 128265, 78228, 132037, 128664, 131638, 128348, 128362, 128531, 13, 130085, 128456, 128300, 386, 124312, 128331, 128314, 128449, 220, 20, 14, 21, 14, 17, 15, 16, 19, 37915, 132547, 128373, 128285, 79668, 133776, 128301, 130027, 294, 8835, 968, 131763, 137429, 128818, 39486, 129659, 11, 134059, 922, 276, 128550, 59735, 128289, 128417, 129067, 129991, 128331, 11, 128740, 142267, 128871, 128726, 129019, 130990, 128421, 128250, 78228, 127980, 128978, 128926, 128279, 126341, 77, 128560, 128260, 138650, 131638, 47742, 78228, 127980, 128978, 11208, 130027, 624, 36096, 70248, 128726, 129019, 130990, 128348, 128960, 15122, 128269, 126370, 130179, 128401, 128451, 653, 78228, 128623, 128285, 59735, 390, 128251, 128266, 128362, 270, 75050, 128459, 129240, 129019, 128275, 131921, 86139, 134311, 129019, 126370, 86882, 13, 129496, 131149, 129121, 128304, 220, 18, 13, 17, 21, 15, 13136, 128448, 293, 76294, 130027, 11, 128340, 128250, 129168, 220, 20, 15, 4, 128394, 65526, 125440, 128301, 128480, 128269, 78228, 129838, 128750, 132058, 11, 128324, 29974, 63478, 128826, 128309, 37915, 128249, 69086, 78228, 128664, 94995, 128926, 128279, 126341, 77, 128560, 47742, 129949, 128271, 128400, 128285, 128575, 129541, 653, 128871, 128726, 129019, 130990, 47742, 128301, 130027, 294, 8835, 968, 11, 37915, 128249, 7777, 4076, 128322, 128283, 129347, 128421, 128250, 129203, 128575, 856, 58875, 14854, 125444, 128757, 138816, 47742, 128362, 128531, 135268, 135584, 624, 45, 77354, 220, 17, 15, 16, 19, 11, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128267, 131628, 128319, 128250, 73061, 8065, 129932, 128974, 129785, 131868, 92155, 126341, 128502, 78228, 128623, 128285, 128376, 128664, 94995, 129589, 128740, 128300, 386, 124312, 128331, 128314, 128449, 128272, 64061, 128974, 129785, 131868, 92155, 94576, 128300, 220, 19, 128263, 220, 20, 14, 21, 14, 17, 15, 16, 19, 11, 128250, 78228, 128623, 128285, 128311, 37915, 131309, 296, 16095, 259, 20868, 128664, 94995, 11, 78228, 128623, 128285, 135149, 129368, 128417, 129067, 129991, 128331, 11, 270, 309, 922, 276, 130179, 128338, 11, 489, 3441, 128726, 595, 20868, 128990, 128265, 129270, 128356, 129991, 128331, 11, 129888, 128356, 128380, 270, 75050, 435, 124551, 11, 128301, 270, 75050, 97832, 128623, 11, 128531, 131399, 76, 23686, 71, 128265, 128417, 129067, 129991, 128331, 624, 40225, 33450, 128422, 128336, 129589, 128740, 131160, 129991, 128331, 128314, 128449, 128290, 220, 17, 15, 16, 19, 11, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128456, 130097, 78228, 129029, 11, 8943, 11, 129857, 11, 129675, 128254, 1163, 2185, 220, 85375, 11, 73061, 8065, 78228, 129018, 11, 64061, 128974, 98127, 128854, 132668, 128818, 78228, 128623, 128285, 135593, 129045, 11, 129984, 128285, 11, 129023, 129677, 132356, 128366, 47742, 128251, 128394, 130314, 2162, 78, 128370, 128482, 128740, 142267, 128871, 128726, 129019, 130990, 47742, 128301, 130027, 294, 8835, 968, 11, 128353, 128284, 128861, 135159, 11, 128423, 128432, 47742, 135268, 135584, 128556, 129031, 47742, 128417, 129067, 129991, 128331, 624, 34, 29341, 129029, 11, 129857, 11, 129675, 128254, 47742, 128704, 128675, 135736, 279, 78, 128334, 129065, 129705, 128254, 11, 126341, 128502, 296, 16095, 259, 20868, 47742, 78228, 128623, 128285, 129589, 128740, 131160, 129991, 128331, 131346, 128449, 128290, 220, 17, 15, 16, 19, 128260, 25, 128300, 128410, 135578, 128751, 11, 15122, 129866, 128266, 129067, 97832, 129991, 128331, 11, 77374, 342, 316, 129888, 128356, 128380, 270, 75050, 11, 435, 29341, 270, 75050, 26, 128486, 128784, 128253, 128580, 128456, 129991, 128331, 133954, 132242, 11, 137106, 14854, 125055, 128273, 128704, 129030, 128394, 129447, 26, 126341, 128502, 78228, 129009, 128507, 135149, 129368, 856, 27924, 11, 135149, 137730, 7777, 36745, 296, 65762, 77, 128740, 142267, 128871, 128726, 129019, 305, 23458, 20536, 124417, 84, 128373, 11, 129057, 128285, 128417, 129067, 129991, 128331, 11, 4258, 78, 139829, 435, 61452, 11, 97610, 128423, 128265, 128427, 128456, 129991, 128331, 11, 128740, 142267, 128871, 128726, 129019, 130990, 47742, 128301, 130027, 294, 8835, 968, 128272, 78228, 128837, 62029, 130700, 11, 131026, 128251, 73525, 85852, 624, 33, 37678, 134352, 129031, 47742, 386, 124312, 128331, 128268, 128456, 130097, 129626, 135676, 11, 595, 12032, 132720, 79668, 128285, 97483, 137288, 128327, 128253, 58701, 128310, 11, 653, 27924, 128386, 11, 126341, 128502, 28776, 128271, 64061, 128761, 69086, 128417, 129067, 129991, 128331, 47742, 128362, 128531, 135268, 135584, 128310, 128277, 129065, 131160, 386, 124312, 128331, 128314, 128449, 13, 134914, 128250, 128253, 128331, 128319, 128415, 129222, 11, 78228, 128666, 128444, 128980, 129122, 129582, 130506, 129029, 134352, 129031, 47742, 386, 124312, 128331, 856, 336, 130985, 489, 3441, 133269, 425, 125455, 595, 12032, 624, 26067, 71, 1163, 124411, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39, 124886, 128740, 131160, 386, 124312, 128331, 128314, 128449, 220, 20, 14, 21, 14, 17, 15, 16, 19, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128727, 28776, 62029, 128683, 130506, 78228, 129029, 11, 8943, 11, 129857, 11, 129675, 128254, 1163, 2185, 220, 85375, 26, 73061, 8065, 78228, 129018, 11, 64061, 128974, 129372, 129281, 1163, 2185, 220, 85375, 128456, 130097, 126341, 128502, 78228, 128623, 128285, 129589, 128740, 131160, 386, 124312, 128331, 128314, 128449, 220, 20, 14, 21, 14, 17, 15, 16, 19, 624, 39, 3202, 88, 128373, 128285, 79668, 133776, 128301, 130027, 294, 8835, 968, 481, 220, 126884, 16719, 1308, 71, 126247, 64, 624, 45, 77354, 220, 17, 15, 16, 19, 63478, 130578, 128319, 128664, 128509, 37915, 133670, 128494, 128384, 128265, 78228, 132037, 128664, 131638, 128348, 128362, 128531, 13, 130085, 128456, 128300, 386, 124312, 128331, 128314, 128449, 220, 20, 14, 21, 14, 17, 15, 16, 19, 37915, 132547, 128373, 128285, 79668, 133776, 128301, 130027, 294, 8835, 968, 131763, 137429, 128818, 39486, 129659, 11, 134059, 922, 276, 128550, 59735, 128289, 128417, 129067, 129991, 128331, 11, 128740, 142267, 128871, 128726, 129019, 130990, 128421, 128250, 78228, 127980, 128978, 128926, 128279, 126341, 77, 128560, 128260, 138650, 131638, 47742, 78228, 127980, 128978, 11208, 130027, 624, 36096, 70248, 128726, 129019, 130990, 128348, 128960, 15122, 128269, 126370, 130179, 128401, 128451, 653, 78228, 128623, 128285, 59735, 390, 128251, 128266, 128362, 270, 75050, 128459, 129240, 129019, 128275, 131921, 86139, 134311, 129019, 126370, 86882, 13, 129496, 131149, 129121, 128304, 220, 18, 13, 17, 21, 15, 13136, 128448, 293, 76294, 130027, 11, 128340, 128250, 129168, 220, 20, 15, 4, 128394, 65526, 125440, 128301, 128480, 128269, 78228, 129838, 128750, 132058, 11, 128324, 29974, 63478, 128826, 128309, 37915, 128249, 69086, 78228, 128664, 94995, 128926, 128279, 126341, 77, 128560, 47742, 129949, 128271, 128400, 128285, 128575, 129541, 653, 128871, 128726, 129019, 130990, 47742, 128301, 130027, 294, 8835, 968, 11, 37915, 128249, 7777, 4076, 128322, 128283, 129347, 128421, 128250, 129203, 128575, 856, 58875, 14854, 125444, 128757, 138816, 47742, 128362, 128531, 135268, 135584, 624, 45, 77354, 220, 17, 15, 16, 19, 11, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128267, 131628, 128319, 128250, 73061, 8065, 129932, 128974, 129785, 131868, 92155, 126341, 128502, 78228, 128623, 128285, 128376, 128664, 94995, 129589, 128740, 128300, 386, 124312, 128331, 128314, 128449, 128272, 64061, 128974, 129785, 131868, 92155, 94576, 128300, 220, 19, 128263, 220, 20, 14, 21, 14, 17, 15, 16, 19, 11, 128250, 78228, 128623, 128285, 128311, 37915, 131309, 296, 16095, 259, 20868, 128664, 94995, 11, 78228, 128623, 128285, 135149, 129368, 128417, 129067, 129991, 128331, 11, 270, 309, 922, 276, 130179, 128338, 11, 489, 3441, 128726, 595, 20868, 128990, 128265, 129270, 128356, 129991, 128331, 11, 129888, 128356, 128380, 270, 75050, 435, 124551, 11, 128301, 270, 75050, 97832, 128623, 11, 128531, 131399, 76, 23686, 71, 128265, 128417, 129067, 129991, 128331, 624, 40225, 33450, 128422, 128336, 129589, 128740, 131160, 129991, 128331, 128314, 128449, 128290, 220, 17, 15, 16, 19, 11, 129029, 134352, 129031, 47742, 386, 124312, 128331, 128456, 130097, 78228, 129029, 11, 8943, 11, 129857, 11, 129675, 128254, 1163, 2185, 220, 85375, 11, 73061, 8065, 78228, 129018, 11, 64061, 128974, 98127, 128854, 132668, 128818, 78228, 128623, 128285, 135593, 129045, 11, 129984, 128285, 11, 129023, 129677, 132356, 128366, 47742, 128251, 128394, 130314, 2162, 78, 128370, 128482, 128740, 142267, 128871, 128726, 129019, 130990, 47742, 128301, 130027, 294, 8835, 968, 11, 128353, 128284, 128861, 135159, 11, 128423, 128432, 47742, 135268, 135584, 128556, 129031, 47742, 128417, 129067, 129991, 128331, 624, 34, 29341, 129029, 11, 129857, 11, 129675, 128254, 47742, 128704, 128675, 135736, 279, 78, 128334, 129065, 129705, 128254, 11, 126341, 128502, 296, 16095, 259, 20868, 47742, 78228, 128623, 128285, 129589, 128740, 131160, 129991, 128331, 131346, 128449, 128290, 220, 17, 15, 16, 19, 128260, 25, 128300, 128410, 135578, 128751, 11, 15122, 129866, 128266, 129067, 97832, 129991, 128331, 11, 77374, 342, 316, 129888, 128356, 128380, 270, 75050, 11, 435, 29341, 270, 75050, 26, 128486, 128784, 128253, 128580, 128456, 129991, 128331, 133954, 132242, 11, 137106, 14854, 125055, 128273, 128704, 129030, 128394, 129447, 26, 126341, 128502, 78228, 129009, 128507, 135149, 129368, 856, 27924, 11, 135149, 137730, 7777, 36745, 296, 65762, 77, 128740, 142267, 128871, 128726, 129019, 305, 23458, 20536, 124417, 84, 128373, 11, 129057, 128285, 128417, 129067, 129991, 128331, 11, 4258, 78, 139829, 435, 61452, 11, 97610, 128423, 128265, 128427, 128456, 129991, 128331, 11, 128740, 142267, 128871, 128726, 129019, 130990, 47742, 128301, 130027, 294, 8835, 968, 128272, 78228, 128837, 62029, 130700, 11, 131026, 128251, 73525, 85852, 624, 33, 37678, 134352, 129031, 47742, 386, 124312, 128331, 128268, 128456, 130097, 129626, 135676, 11, 595, 12032, 132720, 79668, 128285, 97483, 137288, 128327, 128253, 58701, 128310, 11, 653, 27924, 128386, 11, 126341, 128502, 28776, 128271, 64061, 128761, 69086, 128417, 129067, 129991, 128331, 47742, 128362, 128531, 135268, 135584, 128310, 128277, 129065, 131160, 386, 124312, 128331, 128314, 128449, 13, 134914, 128250, 128253, 128331, 128319, 128415, 129222, 11, 78228, 128666, 128444, 128980, 129122, 129582, 130506, 129029, 134352, 129031, 47742, 386, 124312, 128331, 856, 336, 130985, 489, 3441, 133269, 425, 125455, 595, 12032, 624, 26067, 71, 1163, 124411, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827 ]
828
[ 4239, 39, 9985, 25, 12359, 124382, 129108, 139829, 128744, 272, 81958, 79, 8988, 124855, 130180, 198, 8204, 43, 40225, 8, 481, 129029, 128534, 458, 128727, 28776, 62029, 128484, 595, 12032, 132720, 132356, 128366, 11, 129009, 128916, 270, 309, 94995, 128744, 128595, 2406, 124382, 129108, 11, 128802, 138345, 139829, 131270, 134057, 130375, 128882, 15122, 128271, 128367, 272, 81958, 79, 8988, 124855, 130180, 128272, 350, 10842, 9985, 47742, 78228, 129018, 129854, 29974, 624, 785, 78, 128270, 11, 128289, 2406, 124382, 129108, 11, 128802, 138345, 131270, 134057, 130375, 128744, 128353, 128284, 135343, 129019, 79668, 272, 81958, 79, 8988, 124855, 130180, 128272, 350, 10842, 9985, 653, 21793, 125562, 16719, 129126, 22325, 125770, 47742, 131699, 1527, 71, 29458, 124382, 134650, 128278, 11, 77374, 129566, 220, 16, 274, 125446, 730, 20, 19, 11, 220, 18, 97483, 14854, 49886, 47742, 128271, 128675, 129698, 128882, 128595, 128354, 11, 79126, 133776, 139810, 128431, 128913, 59735, 128347, 272, 81958, 79, 128424, 128249, 8988, 124855, 130180, 128354, 128269, 350, 10842, 9985, 624, 2183, 64, 23165, 2143, 133457, 130203, 128278, 11, 131270, 134057, 130375, 96535, 23165, 2143, 128370, 94576, 128290, 220, 17, 15, 15, 17, 128263, 308, 352, 11, 79126, 128882, 15122, 220, 23, 128367, 272, 81958, 79, 8988, 124855, 130180, 128272, 350, 10842, 9985, 47742, 78228, 129018, 129854, 29974, 128260, 130717, 451, 2143, 11, 130951, 451, 20868, 11, 5724, 1527, 11, 142193, 5724, 13, 1163, 644, 128270, 11, 28776, 128367, 139950, 128251, 11, 272, 81958, 79, 8988, 124855, 130180, 13509, 663, 27924, 320, 331, 84300, 136290, 131346, 21018, 86882, 11, 132859, 220, 23, 481, 350, 10842, 9985, 8, 86139, 128290, 220, 17, 15, 15, 19, 11, 128266, 128427, 8988, 124855, 141753, 129461, 624, 785, 78, 910, 20868, 759, 84, 75157, 11, 129029, 129528, 129029, 128534, 458, 131479, 129393, 3406, 524, 79126, 129626, 135676, 129009, 62029, 59735, 132356, 128366, 11, 129009, 128916, 356, 92704, 141555, 129261, 130406, 9586, 134057, 130375, 128265, 489, 52885, 128377, 128847, 128410, 320, 34, 19, 20, 8, 47742, 356, 92704, 730, 125093, 128859, 128386, 128367, 7946, 320, 32, 22, 16, 8, 47742, 128784, 128333, 132720, 2600, 129058, 128666, 128444, 220, 16, 15, 129077, 128329, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4239, 39, 9985, 25, 12359, 124382, 129108, 139829, 128744, 272, 81958, 79, 8988, 124855, 130180, 198, 8204, 43, 40225, 8, 481, 129029, 128534, 458, 128727, 28776, 62029, 128484, 595, 12032, 132720, 132356, 128366, 11, 129009, 128916, 270, 309, 94995, 128744, 128595, 2406, 124382, 129108, 11, 128802, 138345, 139829, 131270, 134057, 130375, 128882, 15122, 128271, 128367, 272, 81958, 79, 8988, 124855, 130180, 128272, 350, 10842, 9985, 47742, 78228, 129018, 129854, 29974, 624, 785, 78, 128270, 11, 128289, 2406, 124382, 129108, 11, 128802, 138345, 131270, 134057, 130375, 128744, 128353, 128284, 135343, 129019, 79668, 272, 81958, 79, 8988, 124855, 130180, 128272, 350, 10842, 9985, 653, 21793, 125562, 16719, 129126, 22325, 125770, 47742, 131699, 1527, 71, 29458, 124382, 134650, 128278, 11, 77374, 129566, 220, 16, 274, 125446, 730, 20, 19, 11, 220, 18, 97483, 14854, 49886, 47742, 128271, 128675, 129698, 128882, 128595, 128354, 11, 79126, 133776, 139810, 128431, 128913, 59735, 128347, 272, 81958, 79, 128424, 128249, 8988, 124855, 130180, 128354, 128269, 350, 10842, 9985, 624, 2183, 64, 23165, 2143, 133457, 130203, 128278, 11, 131270, 134057, 130375, 96535, 23165, 2143, 128370, 94576, 128290, 220, 17, 15, 15, 17, 128263, 308, 352, 11, 79126, 128882, 15122, 220, 23, 128367, 272, 81958, 79, 8988, 124855, 130180, 128272, 350, 10842, 9985, 47742, 78228, 129018, 129854, 29974, 128260, 130717, 451, 2143, 11, 130951, 451, 20868, 11, 5724, 1527, 11, 142193, 5724, 13, 1163, 644, 128270, 11, 28776, 128367, 139950, 128251, 11, 272, 81958, 79, 8988, 124855, 130180, 13509, 663, 27924, 320, 331, 84300, 136290, 131346, 21018, 86882, 11, 132859, 220, 23, 481, 350, 10842, 9985, 8, 86139, 128290, 220, 17, 15, 15, 19, 11, 128266, 128427, 8988, 124855, 141753, 129461, 624, 785, 78, 910, 20868, 759, 84, 75157, 11, 129029, 129528, 129029, 128534, 458, 131479, 129393, 3406, 524, 79126, 129626, 135676, 129009, 62029, 59735, 132356, 128366, 11, 129009, 128916, 356, 92704, 141555, 129261, 130406, 9586, 134057, 130375, 128265, 489, 52885, 128377, 128847, 128410, 320, 34, 19, 20, 8, 47742, 356, 92704, 730, 125093, 128859, 128386, 128367, 7946, 320, 32, 22, 16, 8, 47742, 128784, 128333, 132720, 2600, 129058, 128666, 128444, 220, 16, 15, 129077, 128329, 624, 151645 ]
[ 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
[ 1143, 2185, 259, 352, 128417, 129067, 11, 128353, 128284, 128423, 128432, 129738, 128301, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 595, 124634, 129349, 78228, 128376, 11, 129857, 11, 128728, 128251, 128394, 128761, 129541, 521, 2185, 259, 352, 11, 128362, 305, 4076, 128688, 128935, 342, 126368, 129566, 128417, 129067, 129738, 128301, 47742, 78228, 390, 134782, 11, 53037, 98127, 2600, 130535, 308, 352, 126199, 125440, 2600, 129509, 1187, 72, 624, 3357, 1794, 130390, 131943, 130597, 1163, 2185, 131039, 128339, 25, 330, 1143, 125012, 130388, 128324, 29974, 308, 124634, 129398, 922, 276, 128406, 11, 128301, 53037, 128282, 37915, 129738, 128556, 129031, 128867, 132247, 126199, 37915, 128249, 69086, 128253, 129738, 128556, 129031, 129009, 136312, 128360, 63478, 129270, 128356, 11, 23165, 2143, 133457, 11, 128353, 128284, 129831, 128319, 3263, 220, 126884, 16719, 25, 647, 24430, 20290, 70, 124527, 8564, 71, 624, 50, 124397, 220, 17, 15, 14, 18, 11, 128272, 129018, 130726, 15392, 524, 79126, 128960, 15122, 444, 124417, 296, 16095, 259, 20868, 132551, 132686, 131160, 451, 124603, 128314, 128449, 128290, 220, 17, 15, 16, 20, 653, 129029, 134352, 129031, 47742, 386, 124312, 128331, 131628, 128319, 128250, 78228, 126341, 128502, 59735, 130578, 472, 84300, 79, 128494, 128272, 128324, 29974, 126341, 128502, 624, 51, 51947, 126258, 47742, 128362, 129626, 128272, 132214, 131309, 11, 270, 352, 128387, 129591, 130388, 128324, 29974, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128826, 128309, 2162, 78, 128688, 128935, 59735, 130578, 472, 84300, 79, 128494, 129483, 128300, 220, 17, 17, 14, 18, 305, 125455, 128290, 37915, 131160, 451, 124603, 128314, 128449, 79668, 595, 124634, 129349, 128277, 922, 276, 128396, 59735, 129202, 125440, 128728, 128251, 128273, 128401, 128314, 128449, 128265, 39486, 129659, 11, 134059, 922, 276, 128550, 59735, 128301, 11, 128329, 128327, 129984, 128285, 128336, 128283, 78228, 128311, 95082, 131763, 129270, 128356, 11, 23165, 2143, 133457, 128423, 128432, 47742, 135268, 135584, 129738, 128556, 129031, 128301, 624, 1143, 125012, 130388, 128324, 29974, 308, 124634, 129398, 922, 276, 128406, 11, 128301, 53037, 128282, 37915, 129738, 128556, 129031, 128867, 132247, 126199, 37915, 128249, 69086, 128253, 129738, 128556, 129031, 129009, 136312, 11, 128360, 63478, 129270, 128356, 11, 23165, 2143, 133457, 11, 128353, 128284, 129831, 128319, 11, 128423, 128432, 11, 128362, 305, 4076, 128253, 128387, 128994, 11, 129572, 128751, 128253, 128400, 131579, 59735, 128301, 624, 53, 51947, 220, 17, 14, 18, 129822, 128375, 128301, 128273, 220, 23, 15, 15, 129427, 296, 220, 18, 59735, 128324, 29974, 128877, 129281, 86139, 129738, 128301, 128664, 128384, 11, 128265, 128322, 128450, 128324, 29974, 128487, 37915, 128664, 94995, 130502, 128301, 11, 128281, 37915, 69086, 293, 87939, 129111, 141580, 128451, 128353, 128284, 128300, 129357, 94995, 128529, 11, 78228, 128664, 94995, 128269, 140156, 129738, 128348, 128529, 132300, 78228, 128623, 128285, 23165, 2143, 133457, 13, 730, 4458, 76, 128250, 128270, 37915, 128419, 129916, 128435, 133637, 11, 913, 88, 39325, 124900, 11, 272, 49886, 19953, 124382, 129738, 128301, 69086, 94994, 128289, 128353, 128284, 128301, 128320, 131399, 968, 128812, 11, 135153, 128423, 128432, 624, 3357, 1794, 130390, 131943, 595, 124634, 129349, 129058, 128704, 128675, 11, 129058, 129857, 11, 129675, 128254, 47742, 129058, 58701, 128310, 129805, 128424, 128884, 128362, 305, 4076, 78228, 128688, 128935, 131763, 129270, 128356, 11, 23165, 2143, 133457, 47742, 128353, 128284, 128301, 128861, 135159, 47742, 128423, 128432, 11, 128340, 20303, 2863, 128319, 128400, 79668, 23165, 2143, 133457, 128423, 128432, 129738, 128556, 129031, 128301, 11, 128757, 141700, 78228, 128400, 131579, 59735, 128301, 11, 435, 42504, 72, 926, 131265, 52537, 11, 128435, 133637, 129991, 128331, 13, 128965, 128289, 128266, 128270, 128267, 131072, 128463, 86139, 62029, 128564, 856, 58875, 14854, 125444, 11, 128757, 138816, 11, 50196, 85852, 62029, 128411, 128847, 128410, 11, 133600, 132668, 128362, 128531, 595, 20868, 128384, 11, 128417, 129067, 129991, 128331, 47742, 128417, 129067, 129738, 128301, 11, 131072, 128463, 129664, 63478, 129203, 128575, 131265, 132883, 132551, 129551, 128417, 135268, 135584, 128265, 129991, 128331, 624, 43, 124417, 296, 16095, 259, 20868, 128272, 130726, 15392, 524, 79126, 77374, 130862, 61758, 139063, 128251, 128394, 11, 78228, 128322, 922, 276, 129675, 128254, 128273, 128704, 129030, 270, 309, 94995, 128271, 128623, 128285, 128907, 130249, 129589, 128740, 131160, 451, 124603, 128314, 128449, 220, 17, 15, 16, 20, 130068, 25, 12359, 86882, 131399, 76, 128492, 451, 124603, 47742, 135322, 128531, 135268, 135584, 26, 129935, 132972, 72067, 64, 128292, 451, 124603, 47742, 135322, 128531, 135268, 135584, 26, 131786, 128361, 342, 22516, 129480, 128781, 128859, 139548, 137098, 131160, 451, 124603, 128314, 128449, 220, 17, 15, 16, 20, 624, 40225, 24015, 131638, 128251, 128394, 11, 128322, 922, 276, 129675, 128254, 128273, 128704, 129030, 79126, 270, 309, 94995, 78228, 128623, 128285, 128907, 130249, 129589, 128740, 131160, 451, 124603, 128314, 128449, 220, 17, 15, 16, 20, 13, 220, 126884, 16719, 25, 647, 24430, 20290, 70, 124527, 8564, 71, 624, 53, 51947, 128427, 128456, 451, 124603, 47742, 135322, 128531, 135268, 135584, 11, 131160, 451, 124603, 128314, 128449, 128290, 220, 17, 15, 16, 20, 128846, 128263, 595, 124634, 129349, 128277, 922, 276, 128396, 59735, 130700, 128329, 128265, 134666, 128542, 128457, 129181, 128362, 128531, 135268, 135584, 47742, 128556, 129031, 128301, 128944, 126258, 136149, 69086, 128290, 220, 17, 15, 17, 20, 11, 28776, 129168, 220, 17, 14, 18, 128394, 65526, 128273, 128401, 128451, 128480, 128269, 78228, 127980, 128978, 28776, 128334, 129065, 128639, 130909, 128265, 129738, 272, 2185, 128376, 128301, 624, 1143, 125012, 128378, 128314, 11, 128362, 128531, 135268, 135584, 128300, 129357, 128570, 128317, 128376, 293, 53061, 11, 8321, 342, 124651, 11, 128304, 293, 3441, 128626, 128906, 138585, 129087, 128282, 50196, 128439, 129009, 136312, 47742, 50196, 134059, 128401, 128451, 13, 1163, 644, 128270, 11, 128556, 129031, 128301, 130889, 128249, 39486, 129659, 1221, 521, 125456, 47742, 53037, 128254, 259, 53061, 138559, 130553, 128362, 128531, 135268, 135584, 624, 785, 78, 65526, 88057, 128334, 9586, 11, 128324, 29974, 28776, 220, 18, 13, 19, 20, 15, 134782, 11, 913, 87939, 129509, 128421, 128465, 128250, 129822, 128375, 128301, 489, 2185, 128823, 305, 125455, 128290, 129168, 220, 23, 18, 15, 129427, 296, 220, 18, 1154, 128344, 128914, 220, 17, 14, 18, 37915, 94576, 128301, 128703, 138886, 86139, 13, 444, 98210, 128301, 128811, 97832, 98127, 136514, 128914, 220, 16, 14, 18, 47742, 128725, 98127, 128439, 128375, 128301, 96535, 128291, 128823, 129866, 128278, 128251, 98127, 129664, 129168, 220, 18, 13, 20, 15, 15, 296, 220, 18, 608, 77, 77354, 13, 140366, 128354, 11, 130423, 138886, 129036, 128888, 53037, 128582, 279, 78, 130567, 47742, 279, 78, 129838, 11, 69086, 128270, 220, 22, 15, 12, 23, 15, 4, 128553, 489, 2185, 69086, 130567, 326, 124310, 11, 130567, 132190, 131778, 129121, 94576, 220, 21, 128263, 220, 24, 128526, 128344, 98127, 28776, 129168, 220, 17, 15, 12, 18, 15, 4, 129822, 128375, 128301, 624, 33, 6362, 22417, 64362, 585, 9991, 220, 137295, 133796, 128494, 94995, 59735, 138737, 61758, 131346, 128449, 128272, 128324, 29974, 270, 352, 128387, 78228, 128322, 922, 276, 130578, 472, 84300, 79, 128494, 79126, 129045, 130897, 92430, 73586, 125452, 59735, 130017, 129101, 129212, 130578, 472, 84300, 79, 128494, 22730, 29458, 5251, 9009, 11, 128826, 128309, 2162, 78, 308, 71431, 128599, 78228, 128664, 94995, 64061, 97483, 11, 69086, 128270, 28776, 128324, 29974, 11, 69086, 308, 71431, 128599, 128740, 142267, 128250, 128419, 129916, 128871, 128726, 129019, 130990, 11, 130925, 128740, 141580, 128451, 128301, 2600, 132234, 128386, 11, 62029, 128386, 11, 130287, 126260, 128340, 128250, 128419, 129916, 128435, 133637, 128300, 129357, 94995, 128529, 128269, 128271, 127980, 128978, 11, 69086, 293, 87939, 129111, 128556, 129031, 128301, 98127, 37915, 129347, 129572, 47742, 139235, 11386, 124428, 128265, 128301, 128269, 128271, 128837, 624, 45421, 27021, 472, 84300, 79, 128494, 595, 124634, 129349, 259, 20868, 129719, 128319, 128400, 23165, 125641, 140996, 11, 129367, 7777, 85142, 14854, 3165, 128370, 128728, 128431, 129608, 47742, 128688, 128935, 92105, 11, 128329, 128327, 133691, 137968, 521, 685, 129958, 78228, 128486, 128513, 126199, 129202, 125440, 128347, 9450, 128348, 128360, 128378, 128249, 129509, 1187, 72, 135268, 135584, 13, 129024, 128266, 63478, 128314, 11, 128347, 9450, 28776, 128254, 521, 126424, 294, 133592, 63478, 14854, 125444, 138816, 11, 133600, 132668, 128277, 270, 125438, 348, 98210, 47742, 133765, 128994, 128401, 128451, 11, 128417, 129067, 129991, 128331, 47742, 129455, 521, 125529, 63478, 128250, 134666, 14854, 68, 294, 41603, 64, 59735, 128871, 128726, 129019, 130990, 624, 20897, 124527, 8564, 71, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1143, 2185, 259, 352, 128417, 129067, 11, 128353, 128284, 128423, 128432, 129738, 128301, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 129591, 130388, 595, 124634, 129349, 78228, 128376, 11, 129857, 11, 128728, 128251, 128394, 128761, 129541, 521, 2185, 259, 352, 11, 128362, 305, 4076, 128688, 128935, 342, 126368, 129566, 128417, 129067, 129738, 128301, 47742, 78228, 390, 134782, 11, 53037, 98127, 2600, 130535, 308, 352, 126199, 125440, 2600, 129509, 1187, 72, 624, 3357, 1794, 130390, 131943, 130597, 1163, 2185, 131039, 128339, 25, 330, 1143, 125012, 130388, 128324, 29974, 308, 124634, 129398, 922, 276, 128406, 11, 128301, 53037, 128282, 37915, 129738, 128556, 129031, 128867, 132247, 126199, 37915, 128249, 69086, 128253, 129738, 128556, 129031, 129009, 136312, 128360, 63478, 129270, 128356, 11, 23165, 2143, 133457, 11, 128353, 128284, 129831, 128319, 3263, 220, 126884, 16719, 25, 647, 24430, 20290, 70, 124527, 8564, 71, 624, 50, 124397, 220, 17, 15, 14, 18, 11, 128272, 129018, 130726, 15392, 524, 79126, 128960, 15122, 444, 124417, 296, 16095, 259, 20868, 132551, 132686, 131160, 451, 124603, 128314, 128449, 128290, 220, 17, 15, 16, 20, 653, 129029, 134352, 129031, 47742, 386, 124312, 128331, 131628, 128319, 128250, 78228, 126341, 128502, 59735, 130578, 472, 84300, 79, 128494, 128272, 128324, 29974, 126341, 128502, 624, 51, 51947, 126258, 47742, 128362, 129626, 128272, 132214, 131309, 11, 270, 352, 128387, 129591, 130388, 128324, 29974, 11, 133761, 130390, 131943, 130597, 1163, 2185, 131039, 128826, 128309, 2162, 78, 128688, 128935, 59735, 130578, 472, 84300, 79, 128494, 129483, 128300, 220, 17, 17, 14, 18, 305, 125455, 128290, 37915, 131160, 451, 124603, 128314, 128449, 79668, 595, 124634, 129349, 128277, 922, 276, 128396, 59735, 129202, 125440, 128728, 128251, 128273, 128401, 128314, 128449, 128265, 39486, 129659, 11, 134059, 922, 276, 128550, 59735, 128301, 11, 128329, 128327, 129984, 128285, 128336, 128283, 78228, 128311, 95082, 131763, 129270, 128356, 11, 23165, 2143, 133457, 128423, 128432, 47742, 135268, 135584, 129738, 128556, 129031, 128301, 624, 1143, 125012, 130388, 128324, 29974, 308, 124634, 129398, 922, 276, 128406, 11, 128301, 53037, 128282, 37915, 129738, 128556, 129031, 128867, 132247, 126199, 37915, 128249, 69086, 128253, 129738, 128556, 129031, 129009, 136312, 11, 128360, 63478, 129270, 128356, 11, 23165, 2143, 133457, 11, 128353, 128284, 129831, 128319, 11, 128423, 128432, 11, 128362, 305, 4076, 128253, 128387, 128994, 11, 129572, 128751, 128253, 128400, 131579, 59735, 128301, 624, 53, 51947, 220, 17, 14, 18, 129822, 128375, 128301, 128273, 220, 23, 15, 15, 129427, 296, 220, 18, 59735, 128324, 29974, 128877, 129281, 86139, 129738, 128301, 128664, 128384, 11, 128265, 128322, 128450, 128324, 29974, 128487, 37915, 128664, 94995, 130502, 128301, 11, 128281, 37915, 69086, 293, 87939, 129111, 141580, 128451, 128353, 128284, 128300, 129357, 94995, 128529, 11, 78228, 128664, 94995, 128269, 140156, 129738, 128348, 128529, 132300, 78228, 128623, 128285, 23165, 2143, 133457, 13, 730, 4458, 76, 128250, 128270, 37915, 128419, 129916, 128435, 133637, 11, 913, 88, 39325, 124900, 11, 272, 49886, 19953, 124382, 129738, 128301, 69086, 94994, 128289, 128353, 128284, 128301, 128320, 131399, 968, 128812, 11, 135153, 128423, 128432, 624, 3357, 1794, 130390, 131943, 595, 124634, 129349, 129058, 128704, 128675, 11, 129058, 129857, 11, 129675, 128254, 47742, 129058, 58701, 128310, 129805, 128424, 128884, 128362, 305, 4076, 78228, 128688, 128935, 131763, 129270, 128356, 11, 23165, 2143, 133457, 47742, 128353, 128284, 128301, 128861, 135159, 47742, 128423, 128432, 11, 128340, 20303, 2863, 128319, 128400, 79668, 23165, 2143, 133457, 128423, 128432, 129738, 128556, 129031, 128301, 11, 128757, 141700, 78228, 128400, 131579, 59735, 128301, 11, 435, 42504, 72, 926, 131265, 52537, 11, 128435, 133637, 129991, 128331, 13, 128965, 128289, 128266, 128270, 128267, 131072, 128463, 86139, 62029, 128564, 856, 58875, 14854, 125444, 11, 128757, 138816, 11, 50196, 85852, 62029, 128411, 128847, 128410, 11, 133600, 132668, 128362, 128531, 595, 20868, 128384, 11, 128417, 129067, 129991, 128331, 47742, 128417, 129067, 129738, 128301, 11, 131072, 128463, 129664, 63478, 129203, 128575, 131265, 132883, 132551, 129551, 128417, 135268, 135584, 128265, 129991, 128331, 624, 43, 124417, 296, 16095, 259, 20868, 128272, 130726, 15392, 524, 79126, 77374, 130862, 61758, 139063, 128251, 128394, 11, 78228, 128322, 922, 276, 129675, 128254, 128273, 128704, 129030, 270, 309, 94995, 128271, 128623, 128285, 128907, 130249, 129589, 128740, 131160, 451, 124603, 128314, 128449, 220, 17, 15, 16, 20, 130068, 25, 12359, 86882, 131399, 76, 128492, 451, 124603, 47742, 135322, 128531, 135268, 135584, 26, 129935, 132972, 72067, 64, 128292, 451, 124603, 47742, 135322, 128531, 135268, 135584, 26, 131786, 128361, 342, 22516, 129480, 128781, 128859, 139548, 137098, 131160, 451, 124603, 128314, 128449, 220, 17, 15, 16, 20, 624, 40225, 24015, 131638, 128251, 128394, 11, 128322, 922, 276, 129675, 128254, 128273, 128704, 129030, 79126, 270, 309, 94995, 78228, 128623, 128285, 128907, 130249, 129589, 128740, 131160, 451, 124603, 128314, 128449, 220, 17, 15, 16, 20, 13, 220, 126884, 16719, 25, 647, 24430, 20290, 70, 124527, 8564, 71, 624, 53, 51947, 128427, 128456, 451, 124603, 47742, 135322, 128531, 135268, 135584, 11, 131160, 451, 124603, 128314, 128449, 128290, 220, 17, 15, 16, 20, 128846, 128263, 595, 124634, 129349, 128277, 922, 276, 128396, 59735, 130700, 128329, 128265, 134666, 128542, 128457, 129181, 128362, 128531, 135268, 135584, 47742, 128556, 129031, 128301, 128944, 126258, 136149, 69086, 128290, 220, 17, 15, 17, 20, 11, 28776, 129168, 220, 17, 14, 18, 128394, 65526, 128273, 128401, 128451, 128480, 128269, 78228, 127980, 128978, 28776, 128334, 129065, 128639, 130909, 128265, 129738, 272, 2185, 128376, 128301, 624, 1143, 125012, 128378, 128314, 11, 128362, 128531, 135268, 135584, 128300, 129357, 128570, 128317, 128376, 293, 53061, 11, 8321, 342, 124651, 11, 128304, 293, 3441, 128626, 128906, 138585, 129087, 128282, 50196, 128439, 129009, 136312, 47742, 50196, 134059, 128401, 128451, 13, 1163, 644, 128270, 11, 128556, 129031, 128301, 130889, 128249, 39486, 129659, 1221, 521, 125456, 47742, 53037, 128254, 259, 53061, 138559, 130553, 128362, 128531, 135268, 135584, 624, 785, 78, 65526, 88057, 128334, 9586, 11, 128324, 29974, 28776, 220, 18, 13, 19, 20, 15, 134782, 11, 913, 87939, 129509, 128421, 128465, 128250, 129822, 128375, 128301, 489, 2185, 128823, 305, 125455, 128290, 129168, 220, 23, 18, 15, 129427, 296, 220, 18, 1154, 128344, 128914, 220, 17, 14, 18, 37915, 94576, 128301, 128703, 138886, 86139, 13, 444, 98210, 128301, 128811, 97832, 98127, 136514, 128914, 220, 16, 14, 18, 47742, 128725, 98127, 128439, 128375, 128301, 96535, 128291, 128823, 129866, 128278, 128251, 98127, 129664, 129168, 220, 18, 13, 20, 15, 15, 296, 220, 18, 608, 77, 77354, 13, 140366, 128354, 11, 130423, 138886, 129036, 128888, 53037, 128582, 279, 78, 130567, 47742, 279, 78, 129838, 11, 69086, 128270, 220, 22, 15, 12, 23, 15, 4, 128553, 489, 2185, 69086, 130567, 326, 124310, 11, 130567, 132190, 131778, 129121, 94576, 220, 21, 128263, 220, 24, 128526, 128344, 98127, 28776, 129168, 220, 17, 15, 12, 18, 15, 4, 129822, 128375, 128301, 624, 33, 6362, 22417, 64362, 585, 9991, 220, 137295, 133796, 128494, 94995, 59735, 138737, 61758, 131346, 128449, 128272, 128324, 29974, 270, 352, 128387, 78228, 128322, 922, 276, 130578, 472, 84300, 79, 128494, 79126, 129045, 130897, 92430, 73586, 125452, 59735, 130017, 129101, 129212, 130578, 472, 84300, 79, 128494, 22730, 29458, 5251, 9009, 11, 128826, 128309, 2162, 78, 308, 71431, 128599, 78228, 128664, 94995, 64061, 97483, 11, 69086, 128270, 28776, 128324, 29974, 11, 69086, 308, 71431, 128599, 128740, 142267, 128250, 128419, 129916, 128871, 128726, 129019, 130990, 11, 130925, 128740, 141580, 128451, 128301, 2600, 132234, 128386, 11, 62029, 128386, 11, 130287, 126260, 128340, 128250, 128419, 129916, 128435, 133637, 128300, 129357, 94995, 128529, 128269, 128271, 127980, 128978, 11, 69086, 293, 87939, 129111, 128556, 129031, 128301, 98127, 37915, 129347, 129572, 47742, 139235, 11386, 124428, 128265, 128301, 128269, 128271, 128837, 624, 45421, 27021, 472, 84300, 79, 128494, 595, 124634, 129349, 259, 20868, 129719, 128319, 128400, 23165, 125641, 140996, 11, 129367, 7777, 85142, 14854, 3165, 128370, 128728, 128431, 129608, 47742, 128688, 128935, 92105, 11, 128329, 128327, 133691, 137968, 521, 685, 129958, 78228, 128486, 128513, 126199, 129202, 125440, 128347, 9450, 128348, 128360, 128378, 128249, 129509, 1187, 72, 135268, 135584, 13, 129024, 128266, 63478, 128314, 11, 128347, 9450, 28776, 128254, 521, 126424, 294, 133592, 63478, 14854, 125444, 138816, 11, 133600, 132668, 128277, 270, 125438, 348, 98210, 47742, 133765, 128994, 128401, 128451, 11, 128417, 129067, 129991, 128331, 47742, 129455, 521, 125529, 63478, 128250, 134666, 14854, 68, 294, 41603, 64, 59735, 128871, 128726, 129019, 130990, 624, 20897, 124527, 8564, 71, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323 ]
1,324
[ 40225, 39938, 128415, 128529, 134375, 128750, 128266, 342, 125202, 11, 135984, 23165, 125531, 128362, 128531, 342, 125202, 53037, 308, 2185, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 131677, 126258, 132972, 141127, 128784, 132038, 128726, 11, 130623, 39339, 141127, 128784, 65526, 220, 22, 16, 17, 14, 17, 15, 16, 18, 14, 4493, 15653, 48, 39, 16, 18, 128265, 128289, 8943, 128373, 129626, 129240, 134375, 131531, 134375, 128556, 129031, 11, 129029, 134352, 128311, 128456, 128415, 128334, 132314, 129240, 134375, 131531, 134375, 128556, 129031, 128421, 128250, 128750, 128266, 342, 125202, 94576, 220, 16, 15, 4, 128350, 220, 16, 20, 4, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 785, 78, 129029, 1599, 124317, 128855, 11, 141580, 128451, 128353, 128284, 128853, 88057, 128943, 128855, 128269, 128301, 9450, 86139, 128290, 220, 17, 15, 16, 20, 11, 220, 17, 15, 17, 15, 129509, 128740, 37915, 220, 17, 19, 47742, 220, 18, 18, 129427, 97483, 342, 125202, 13, 130526, 85636, 128415, 220, 16, 129427, 97483, 342, 125202, 128750, 274, 10302, 308, 2185, 128347, 9450, 128282, 128575, 259, 125044, 220, 16, 11, 20, 129077, 296, 220, 18, 128750, 274, 10302, 320, 83, 85375, 138051, 220, 22, 20, 6386, 128750, 23165, 2143, 133457, 128269, 128368, 131307, 220, 17, 76, 701, 220, 16, 20, 15, 139063, 133270, 1091, 47742, 270, 75050, 15122, 129991, 128331, 220, 15, 11, 20, 22, 129077, 133270, 7284, 220, 17, 13, 133958, 128490, 11, 128439, 128263, 128290, 220, 17, 15, 17, 15, 11, 129058, 128290, 128282, 128575, 259, 125044, 220, 20, 15, 129077, 296, 220, 18, 128750, 274, 10302, 320, 83, 85375, 138051, 220, 17, 13, 20, 15, 15, 6386, 128750, 23165, 2143, 133457, 128269, 128368, 131307, 220, 17, 76, 701, 220, 20, 129077, 133270, 1091, 47742, 270, 75050, 15122, 129991, 128331, 220, 16, 24, 129077, 133270, 7284, 220, 17, 13, 130406, 96535, 128267, 128882, 128435, 133637, 129991, 128331, 11, 128423, 128740, 128275, 131921, 11, 128492, 129589, 128263, 458, 19550, 71, 135803, 128336, 624, 45, 3346, 52551, 15122, 11, 279, 78, 126370, 130361, 59735, 129857, 128484, 11, 128289, 128362, 128531, 78228, 128275, 128392, 130884, 128484, 128263, 128290, 220, 17, 15, 17, 15, 11, 129058, 128290, 128267, 270, 75050, 15122, 129168, 220, 18, 15, 12, 19, 15, 129077, 133270, 8185, 11, 856, 71179, 128882, 128435, 133637, 129991, 128331, 13, 133817, 85636, 128415, 128853, 88057, 53037, 308, 2185, 128267, 128353, 128284, 78228, 1319, 26068, 270, 75050, 59735, 78228, 129857, 62029, 128386, 128260, 8185, 11, 856, 71179, 11, 296, 124646, 129411, 11, 653, 128270, 11, 128289, 128362, 128531, 85636, 128415, 128853, 88057, 53037, 308, 2185, 128267, 131072, 128463, 128757, 128249, 128375, 129861, 130291, 78228, 128380, 270, 75050, 435, 124551, 15122, 129991, 128331, 11, 128266, 128757, 128435, 133637, 129991, 128331, 624, 785, 78, 3406, 88, 51580, 128333, 65526, 220, 20, 21, 22, 45274, 40225, 9285, 51, 70, 128300, 220, 17, 23, 14, 19, 14, 17, 15, 16, 15, 59735, 130390, 131943, 129591, 130388, 128265, 128289, 134634, 141840, 131786, 128361, 128362, 128531, 128853, 88057, 53037, 308, 2185, 128263, 128290, 220, 17, 15, 17, 15, 128291, 129203, 128575, 128362, 128531, 85636, 128415, 47742, 128353, 128284, 128853, 88057, 128943, 128855, 53037, 308, 2185, 270, 352, 128314, 342, 125202, 128750, 274, 10302, 308, 2185, 129664, 129427, 130554, 220, 17, 15, 12, 17, 20, 4, 86139, 128290, 220, 17, 15, 16, 20, 11, 220, 18, 15, 12, 19, 15, 4, 86139, 128290, 220, 17, 15, 17, 15, 13, 84137, 128603, 129410, 59735, 129029, 1599, 124317, 128855, 11, 128263, 308, 352, 85636, 128375, 128853, 88057, 53037, 308, 2185, 63478, 85636, 128415, 47742, 128353, 128284, 129664, 220, 17, 24, 4, 129822, 85636, 128375, 128853, 88057, 128290, 220, 17, 15, 16, 19, 320, 85, 125997, 129203, 128575, 128456, 15122, 4292, 40225, 33450, 131072, 128463, 128757, 128435, 133637, 129991, 128331, 11, 128861, 135159, 47742, 128353, 128284, 128319, 128356, 129738, 128556, 129031, 26, 128329, 128327, 129664, 63478, 129203, 128575, 128362, 128531, 128853, 88057, 53037, 308, 2185, 128263, 128290, 220, 17, 15, 17, 15, 79126, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 11, 128360, 28776, 128271, 128486, 128513, 79668, 128424, 128884, 135984, 23165, 125531, 128362, 128531, 128289, 128353, 128284, 342, 125202, 128411, 128853, 88057, 53037, 308, 2185, 270, 352, 2600, 342, 125202, 94576, 128750, 274, 10302, 308, 2185, 13, 133802, 129623, 78228, 128486, 128513, 128260, 25, 128529, 132300, 98127, 128854, 26, 135593, 129045, 11, 132175, 128871, 26, 139824, 128784, 856, 58875, 129017, 78228, 326, 22190, 342, 125202, 128799, 62029, 11, 326, 22190, 128799, 62029, 131867, 129263, 47742, 326, 22190, 130604, 85636, 128415, 342, 125202, 128750, 274, 10302, 308, 2185, 1112, 128291, 128289, 130693, 129156, 128334, 132314, 129240, 134375, 131531, 128421, 128250, 128750, 128266, 342, 125202, 128268, 37915, 128486, 128513, 128360, 128422, 624, 53, 23531, 128490, 11, 128272, 126258, 132972, 11, 129029, 134352, 128311, 128456, 128415, 128334, 132314, 129240, 134375, 131531, 134375, 128556, 129031, 128421, 128250, 128750, 128266, 342, 125202, 94576, 220, 16, 15, 4, 128350, 220, 16, 20, 4, 320, 76, 94963, 142035, 69086, 23165, 2185, 134375, 131531, 4292, 33, 37678, 134352, 128311, 2600, 128345, 11, 128250, 128289, 128529, 129240, 134375, 131531, 128421, 128250, 128750, 128266, 342, 125202, 308, 124634, 128273, 11, 65526, 77374, 134375, 128556, 129031, 126258, 128935, 128529, 129168, 220, 16, 19, 11, 17, 129427, 128329, 624, 44, 124315, 89437, 130606, 856, 336, 128401, 128683, 126258, 132972, 47742, 131072, 128431, 128272, 128358, 624, 52971, 25232, 129126, 624, 51, 124185, 131774, 25, 220, 35892, 26068, 1154, 128750, 1154, 342, 125202, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 39938, 128415, 128529, 134375, 128750, 128266, 342, 125202, 11, 135984, 23165, 125531, 128362, 128531, 342, 125202, 53037, 308, 2185, 198, 7, 1143, 20868, 759, 84, 75157, 8, 1365, 131677, 126258, 132972, 141127, 128784, 132038, 128726, 11, 130623, 39339, 141127, 128784, 65526, 220, 22, 16, 17, 14, 17, 15, 16, 18, 14, 4493, 15653, 48, 39, 16, 18, 128265, 128289, 8943, 128373, 129626, 129240, 134375, 131531, 134375, 128556, 129031, 11, 129029, 134352, 128311, 128456, 128415, 128334, 132314, 129240, 134375, 131531, 134375, 128556, 129031, 128421, 128250, 128750, 128266, 342, 125202, 94576, 220, 16, 15, 4, 128350, 220, 16, 20, 4, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 785, 78, 129029, 1599, 124317, 128855, 11, 141580, 128451, 128353, 128284, 128853, 88057, 128943, 128855, 128269, 128301, 9450, 86139, 128290, 220, 17, 15, 16, 20, 11, 220, 17, 15, 17, 15, 129509, 128740, 37915, 220, 17, 19, 47742, 220, 18, 18, 129427, 97483, 342, 125202, 13, 130526, 85636, 128415, 220, 16, 129427, 97483, 342, 125202, 128750, 274, 10302, 308, 2185, 128347, 9450, 128282, 128575, 259, 125044, 220, 16, 11, 20, 129077, 296, 220, 18, 128750, 274, 10302, 320, 83, 85375, 138051, 220, 22, 20, 6386, 128750, 23165, 2143, 133457, 128269, 128368, 131307, 220, 17, 76, 701, 220, 16, 20, 15, 139063, 133270, 1091, 47742, 270, 75050, 15122, 129991, 128331, 220, 15, 11, 20, 22, 129077, 133270, 7284, 220, 17, 13, 133958, 128490, 11, 128439, 128263, 128290, 220, 17, 15, 17, 15, 11, 129058, 128290, 128282, 128575, 259, 125044, 220, 20, 15, 129077, 296, 220, 18, 128750, 274, 10302, 320, 83, 85375, 138051, 220, 17, 13, 20, 15, 15, 6386, 128750, 23165, 2143, 133457, 128269, 128368, 131307, 220, 17, 76, 701, 220, 20, 129077, 133270, 1091, 47742, 270, 75050, 15122, 129991, 128331, 220, 16, 24, 129077, 133270, 7284, 220, 17, 13, 130406, 96535, 128267, 128882, 128435, 133637, 129991, 128331, 11, 128423, 128740, 128275, 131921, 11, 128492, 129589, 128263, 458, 19550, 71, 135803, 128336, 624, 45, 3346, 52551, 15122, 11, 279, 78, 126370, 130361, 59735, 129857, 128484, 11, 128289, 128362, 128531, 78228, 128275, 128392, 130884, 128484, 128263, 128290, 220, 17, 15, 17, 15, 11, 129058, 128290, 128267, 270, 75050, 15122, 129168, 220, 18, 15, 12, 19, 15, 129077, 133270, 8185, 11, 856, 71179, 128882, 128435, 133637, 129991, 128331, 13, 133817, 85636, 128415, 128853, 88057, 53037, 308, 2185, 128267, 128353, 128284, 78228, 1319, 26068, 270, 75050, 59735, 78228, 129857, 62029, 128386, 128260, 8185, 11, 856, 71179, 11, 296, 124646, 129411, 11, 653, 128270, 11, 128289, 128362, 128531, 85636, 128415, 128853, 88057, 53037, 308, 2185, 128267, 131072, 128463, 128757, 128249, 128375, 129861, 130291, 78228, 128380, 270, 75050, 435, 124551, 15122, 129991, 128331, 11, 128266, 128757, 128435, 133637, 129991, 128331, 624, 785, 78, 3406, 88, 51580, 128333, 65526, 220, 20, 21, 22, 45274, 40225, 9285, 51, 70, 128300, 220, 17, 23, 14, 19, 14, 17, 15, 16, 15, 59735, 130390, 131943, 129591, 130388, 128265, 128289, 134634, 141840, 131786, 128361, 128362, 128531, 128853, 88057, 53037, 308, 2185, 128263, 128290, 220, 17, 15, 17, 15, 128291, 129203, 128575, 128362, 128531, 85636, 128415, 47742, 128353, 128284, 128853, 88057, 128943, 128855, 53037, 308, 2185, 270, 352, 128314, 342, 125202, 128750, 274, 10302, 308, 2185, 129664, 129427, 130554, 220, 17, 15, 12, 17, 20, 4, 86139, 128290, 220, 17, 15, 16, 20, 11, 220, 18, 15, 12, 19, 15, 4, 86139, 128290, 220, 17, 15, 17, 15, 13, 84137, 128603, 129410, 59735, 129029, 1599, 124317, 128855, 11, 128263, 308, 352, 85636, 128375, 128853, 88057, 53037, 308, 2185, 63478, 85636, 128415, 47742, 128353, 128284, 129664, 220, 17, 24, 4, 129822, 85636, 128375, 128853, 88057, 128290, 220, 17, 15, 16, 19, 320, 85, 125997, 129203, 128575, 128456, 15122, 4292, 40225, 33450, 131072, 128463, 128757, 128435, 133637, 129991, 128331, 11, 128861, 135159, 47742, 128353, 128284, 128319, 128356, 129738, 128556, 129031, 26, 128329, 128327, 129664, 63478, 129203, 128575, 128362, 128531, 128853, 88057, 53037, 308, 2185, 128263, 128290, 220, 17, 15, 17, 15, 79126, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 11, 128360, 28776, 128271, 128486, 128513, 79668, 128424, 128884, 135984, 23165, 125531, 128362, 128531, 128289, 128353, 128284, 342, 125202, 128411, 128853, 88057, 53037, 308, 2185, 270, 352, 2600, 342, 125202, 94576, 128750, 274, 10302, 308, 2185, 13, 133802, 129623, 78228, 128486, 128513, 128260, 25, 128529, 132300, 98127, 128854, 26, 135593, 129045, 11, 132175, 128871, 26, 139824, 128784, 856, 58875, 129017, 78228, 326, 22190, 342, 125202, 128799, 62029, 11, 326, 22190, 128799, 62029, 131867, 129263, 47742, 326, 22190, 130604, 85636, 128415, 342, 125202, 128750, 274, 10302, 308, 2185, 1112, 128291, 128289, 130693, 129156, 128334, 132314, 129240, 134375, 131531, 128421, 128250, 128750, 128266, 342, 125202, 128268, 37915, 128486, 128513, 128360, 128422, 624, 53, 23531, 128490, 11, 128272, 126258, 132972, 11, 129029, 134352, 128311, 128456, 128415, 128334, 132314, 129240, 134375, 131531, 134375, 128556, 129031, 128421, 128250, 128750, 128266, 342, 125202, 94576, 220, 16, 15, 4, 128350, 220, 16, 20, 4, 320, 76, 94963, 142035, 69086, 23165, 2185, 134375, 131531, 4292, 33, 37678, 134352, 128311, 2600, 128345, 11, 128250, 128289, 128529, 129240, 134375, 131531, 128421, 128250, 128750, 128266, 342, 125202, 308, 124634, 128273, 11, 65526, 77374, 134375, 128556, 129031, 126258, 128935, 128529, 129168, 220, 16, 19, 11, 17, 129427, 128329, 624, 44, 124315, 89437, 130606, 856, 336, 128401, 128683, 126258, 132972, 47742, 131072, 128431, 128272, 128358, 624, 52971, 25232, 129126, 624, 51, 124185, 131774, 25, 220, 35892, 26068, 1154, 128750, 1154, 342, 125202, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883 ]
884
[ 50, 124760, 132600, 129556, 128338, 128277, 128367, 52537, 132864, 128269, 444, 125017, 356, 2143, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 134695, 922, 276, 129111, 129261, 128334, 9586, 128534, 458, 129018, 444, 125017, 356, 2143, 2600, 128345, 11, 128267, 132600, 129556, 128367, 128595, 128338, 128277, 79668, 128334, 9586, 11, 128266, 129398, 131368, 129414, 59735, 128253, 128251, 128542, 922, 276, 69086, 128367, 52537, 132864, 130978, 76, 23165, 124504, 131871, 15122, 128272, 444, 125017, 356, 2143, 86139, 128300, 220, 16, 14, 24, 128727, 73525, 9338, 55, 68, 128279, 132864, 128348, 63478, 131778, 130553, 128978, 13, 220, 126884, 16719, 25, 647, 38957, 624, 45421, 27021, 922, 276, 128263, 128367, 52537, 132864, 130978, 76, 23165, 124504, 11, 131871, 15122, 86139, 128730, 220, 16, 23, 71, 20, 20, 128300, 220, 16, 14, 24, 11, 128272, 92482, 16, 24, 129281, 128847, 350, 63775, 5836, 71, 11, 131210, 425, 16685, 1599, 16685, 11, 129018, 444, 125017, 356, 2143, 11, 128893, 220, 16, 17, 128251, 141753, 129461, 11, 220, 19, 16, 128251, 62572, 129972, 128334, 128466, 11, 128322, 922, 276, 141555, 129261, 128334, 9586, 11, 128534, 458, 129018, 444, 125017, 356, 2143, 2600, 128345, 128267, 132600, 129556, 128367, 128595, 128338, 128277, 79668, 128334, 9586, 11, 128266, 129398, 131368, 129414, 59735, 128253, 128251, 128542, 922, 276, 128263, 128367, 52537, 132864, 624, 785, 78, 647, 77, 7399, 75157, 11, 128322, 922, 276, 128502, 128365, 79126, 129263, 128373, 489, 125531, 128415, 134897, 88057, 128422, 128279, 133804, 129261, 128373, 128361, 37915, 139127, 133549, 13, 3406, 64, 129913, 128423, 133804, 129261, 128373, 128361, 11, 128327, 128406, 128371, 94994, 131871, 15122, 128367, 52537, 132864, 11, 82790, 128351, 96535, 129480, 92430, 128250, 133061, 128368, 220, 18, 23, 16017, 7530, 624, 785, 78, 128334, 9586, 8943, 128278, 11, 129031, 128310, 59735, 128367, 52537, 132864, 37915, 653, 128327, 128861, 128271, 128300, 73525, 128273, 128704, 129030, 28776, 136733, 11, 128448, 489, 67657, 11, 128556, 856, 26068, 85852, 53037, 922, 268, 128448, 128317, 94994, 129233, 220, 16, 82790, 128435, 130003, 220, 19, 131501, 73586, 138239, 128350, 328, 18321, 11, 326, 124644, 86139, 138228, 59735, 82790, 128351, 11, 128893, 53638, 72, 82790, 128351, 13535, 52885, 128312, 11, 128826, 53638, 72, 28240, 128282, 320, 50877, 4076, 129610, 8, 79668, 131282, 11, 128344, 653, 128448, 140242, 79, 128317, 82790, 79126, 1187, 78, 133863, 129630, 128978, 131307, 624, 50, 124397, 308, 352, 320, 18, 14, 24, 701, 128534, 13580, 89872, 128324, 11, 128427, 128760, 129347, 129141, 82790, 128351, 129233, 132864, 11, 79126, 126341, 128502, 272, 92777, 129141, 82790, 129233, 132864, 15122, 130553, 128283, 128331, 79668, 128322, 922, 276, 128502, 128365, 131797, 128990, 11, 129522, 9586, 624, 20897, 352, 94576, 128688, 131969, 11, 78228, 128599, 128375, 128502, 128365, 130068, 25, 663, 27924, 9586, 342, 22516, 92430, 11, 129111, 129261, 342, 22516, 92430, 11, 129111, 129261, 128334, 9586, 128534, 458, 129018, 79126, 28776, 128387, 79668, 141839, 132630, 342, 22516, 92430, 129551, 128417, 2600, 128289, 272, 92777, 82790, 128960, 15122, 458, 128401, 47742, 131678, 128994, 11, 128329, 128327, 126341, 128502, 131797, 128990, 129141, 82790, 128279, 132864, 624, 34, 24015, 13580, 30923, 23180, 386, 125092, 356, 77869, 481, 128666, 128444, 128336, 128283, 128289, 272, 92777, 131778, 129141, 82790, 129233, 132864, 79126, 128282, 128888, 128597, 220, 16, 17, 62029, 128310, 128336, 128283, 62029, 128289, 128272, 128336, 128704, 47742, 128353, 128284, 128360, 272, 92777, 130897, 128550, 220, 20, 15, 133270, 79668, 129263, 128373, 131778, 82790, 624, 785, 78, 133602, 444, 125017, 356, 2143, 11, 128263, 220, 16, 15, 71, 16, 20, 11, 128463, 308, 125877, 129141, 82790, 129233, 132864, 79126, 63478, 131778, 128350, 128448, 13, 444, 92302, 128375, 128266, 129414, 128367, 128267, 129234, 137827, 132668, 308, 9917, 71, 133061, 128368, 11, 142094, 129507, 128263, 131149, 129597, 308, 352, 128267, 128643, 64061, 62029, 128289, 624, 50, 2863, 94994, 272, 92777, 131778, 129141, 82790, 129233, 132864, 128350, 128448, 11, 128599, 128375, 128502, 128365, 128267, 128930, 128265, 128534, 458, 129018, 444, 125017, 356, 2143, 79668, 128904, 128367, 62029, 128400, 131797, 128990, 11, 128334, 9586, 128266, 129398, 129031, 128310, 128367, 52537, 132864, 624, 16, 21, 132864, 128310, 128348, 63478, 128334, 128466, 128761, 129541, 624, 785, 78, 647, 38957, 11, 128263, 128688, 220, 18, 14, 24, 11, 128487, 128320, 220, 16, 21, 132864, 128310, 69086, 128367, 326, 52885, 82790, 128348, 128334, 128466, 128272, 40100, 40225, 42, 444, 125017, 356, 2143, 13, 1163, 644, 65526, 220, 23, 132864, 128310, 521, 124644, 128560, 132932, 128291, 28776, 220, 17, 128251, 7777, 4076, 128322, 128804, 348, 644, 2162, 78, 624, 53, 51947, 132864, 128310, 128279, 272, 48291, 129368, 132278, 73525, 128668, 128282, 86139, 139127, 274, 41603, 11, 78228, 130103, 274, 125093, 79126, 140552, 128859, 129483, 127657, 128853, 15122, 130553, 139127, 274, 41603, 13, 136146, 220, 16, 16, 71, 11, 98127, 65526, 128502, 128365, 128480, 59735, 132864, 128310, 96535, 139511, 133713, 128333, 11, 128344, 128487, 128282, 458, 129719, 11, 138762, 128392, 131307, 79668, 128453, 128310, 139511, 128904, 130344, 13, 328, 94963, 129700, 132864, 128310, 28776, 128960, 128871, 142244, 138628, 11, 126341, 77, 128560, 130980, 134226, 624, 34, 125437, 132864, 128310, 132932, 128279, 128907, 521, 124644, 128560, 79126, 63478, 129263, 128373, 296, 60257, 79668, 128757, 129470, 139127, 274, 41603, 624, 21, 132864, 128310, 132932, 128354, 79126, 139511, 128327, 133713, 128333, 624, 33, 29341, 274, 125093, 130597, 129126, 21018, 92599, 481, 133761, 137295, 133796, 40100, 40225, 42, 129018, 444, 125017, 356, 2143, 2600, 128345, 25, 128678, 132864, 128310, 128348, 130668, 128269, 46051, 72067, 64, 142769, 521, 124644, 128560, 47742, 142769, 129822, 128319, 128322, 128450, 53037, 128279, 14854, 68, 294, 41603, 64, 128439, 129461, 13, 128678, 128453, 128310, 96535, 28776, 128254, 128267, 128415, 129972, 131969, 13, 143958, 308, 352, 11, 78228, 130103, 274, 125093, 59735, 40100, 425, 125202, 42256, 128424, 128884, 50196, 129374, 47742, 78228, 128422, 128279, 128360, 128422, 128350, 79668, 128430, 128347, 128296, 128424, 128884, 128334, 128466, 128453, 128310, 624, 1282, 644, 220, 17, 128300, 73525, 11, 40100, 40225, 42, 444, 125017, 356, 2143, 79126, 305, 4076, 128285, 129597, 128907, 78228, 128422, 128279, 11, 128675, 129698, 47742, 129188, 135518, 130103, 274, 125093, 79668, 129156, 130489, 78228, 132864, 128310, 69086, 128367, 52537, 132864, 326, 52885, 82790, 13, 132743, 128272, 128487, 28776, 128249, 130103, 274, 125093, 59735, 40100, 425, 125202, 42256, 47742, 128249, 130103, 274, 125093, 40100, 128324, 129938, 129481, 128886, 128334, 128466, 128272, 40100, 624, 57447, 320, 83, 60257, 968, 128319, 4292, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 50, 124760, 132600, 129556, 128338, 128277, 128367, 52537, 132864, 128269, 444, 125017, 356, 2143, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 134695, 922, 276, 129111, 129261, 128334, 9586, 128534, 458, 129018, 444, 125017, 356, 2143, 2600, 128345, 11, 128267, 132600, 129556, 128367, 128595, 128338, 128277, 79668, 128334, 9586, 11, 128266, 129398, 131368, 129414, 59735, 128253, 128251, 128542, 922, 276, 69086, 128367, 52537, 132864, 130978, 76, 23165, 124504, 131871, 15122, 128272, 444, 125017, 356, 2143, 86139, 128300, 220, 16, 14, 24, 128727, 73525, 9338, 55, 68, 128279, 132864, 128348, 63478, 131778, 130553, 128978, 13, 220, 126884, 16719, 25, 647, 38957, 624, 45421, 27021, 922, 276, 128263, 128367, 52537, 132864, 130978, 76, 23165, 124504, 11, 131871, 15122, 86139, 128730, 220, 16, 23, 71, 20, 20, 128300, 220, 16, 14, 24, 11, 128272, 92482, 16, 24, 129281, 128847, 350, 63775, 5836, 71, 11, 131210, 425, 16685, 1599, 16685, 11, 129018, 444, 125017, 356, 2143, 11, 128893, 220, 16, 17, 128251, 141753, 129461, 11, 220, 19, 16, 128251, 62572, 129972, 128334, 128466, 11, 128322, 922, 276, 141555, 129261, 128334, 9586, 11, 128534, 458, 129018, 444, 125017, 356, 2143, 2600, 128345, 128267, 132600, 129556, 128367, 128595, 128338, 128277, 79668, 128334, 9586, 11, 128266, 129398, 131368, 129414, 59735, 128253, 128251, 128542, 922, 276, 128263, 128367, 52537, 132864, 624, 785, 78, 647, 77, 7399, 75157, 11, 128322, 922, 276, 128502, 128365, 79126, 129263, 128373, 489, 125531, 128415, 134897, 88057, 128422, 128279, 133804, 129261, 128373, 128361, 37915, 139127, 133549, 13, 3406, 64, 129913, 128423, 133804, 129261, 128373, 128361, 11, 128327, 128406, 128371, 94994, 131871, 15122, 128367, 52537, 132864, 11, 82790, 128351, 96535, 129480, 92430, 128250, 133061, 128368, 220, 18, 23, 16017, 7530, 624, 785, 78, 128334, 9586, 8943, 128278, 11, 129031, 128310, 59735, 128367, 52537, 132864, 37915, 653, 128327, 128861, 128271, 128300, 73525, 128273, 128704, 129030, 28776, 136733, 11, 128448, 489, 67657, 11, 128556, 856, 26068, 85852, 53037, 922, 268, 128448, 128317, 94994, 129233, 220, 16, 82790, 128435, 130003, 220, 19, 131501, 73586, 138239, 128350, 328, 18321, 11, 326, 124644, 86139, 138228, 59735, 82790, 128351, 11, 128893, 53638, 72, 82790, 128351, 13535, 52885, 128312, 11, 128826, 53638, 72, 28240, 128282, 320, 50877, 4076, 129610, 8, 79668, 131282, 11, 128344, 653, 128448, 140242, 79, 128317, 82790, 79126, 1187, 78, 133863, 129630, 128978, 131307, 624, 50, 124397, 308, 352, 320, 18, 14, 24, 701, 128534, 13580, 89872, 128324, 11, 128427, 128760, 129347, 129141, 82790, 128351, 129233, 132864, 11, 79126, 126341, 128502, 272, 92777, 129141, 82790, 129233, 132864, 15122, 130553, 128283, 128331, 79668, 128322, 922, 276, 128502, 128365, 131797, 128990, 11, 129522, 9586, 624, 20897, 352, 94576, 128688, 131969, 11, 78228, 128599, 128375, 128502, 128365, 130068, 25, 663, 27924, 9586, 342, 22516, 92430, 11, 129111, 129261, 342, 22516, 92430, 11, 129111, 129261, 128334, 9586, 128534, 458, 129018, 79126, 28776, 128387, 79668, 141839, 132630, 342, 22516, 92430, 129551, 128417, 2600, 128289, 272, 92777, 82790, 128960, 15122, 458, 128401, 47742, 131678, 128994, 11, 128329, 128327, 126341, 128502, 131797, 128990, 129141, 82790, 128279, 132864, 624, 34, 24015, 13580, 30923, 23180, 386, 125092, 356, 77869, 481, 128666, 128444, 128336, 128283, 128289, 272, 92777, 131778, 129141, 82790, 129233, 132864, 79126, 128282, 128888, 128597, 220, 16, 17, 62029, 128310, 128336, 128283, 62029, 128289, 128272, 128336, 128704, 47742, 128353, 128284, 128360, 272, 92777, 130897, 128550, 220, 20, 15, 133270, 79668, 129263, 128373, 131778, 82790, 624, 785, 78, 133602, 444, 125017, 356, 2143, 11, 128263, 220, 16, 15, 71, 16, 20, 11, 128463, 308, 125877, 129141, 82790, 129233, 132864, 79126, 63478, 131778, 128350, 128448, 13, 444, 92302, 128375, 128266, 129414, 128367, 128267, 129234, 137827, 132668, 308, 9917, 71, 133061, 128368, 11, 142094, 129507, 128263, 131149, 129597, 308, 352, 128267, 128643, 64061, 62029, 128289, 624, 50, 2863, 94994, 272, 92777, 131778, 129141, 82790, 129233, 132864, 128350, 128448, 11, 128599, 128375, 128502, 128365, 128267, 128930, 128265, 128534, 458, 129018, 444, 125017, 356, 2143, 79668, 128904, 128367, 62029, 128400, 131797, 128990, 11, 128334, 9586, 128266, 129398, 129031, 128310, 128367, 52537, 132864, 624, 16, 21, 132864, 128310, 128348, 63478, 128334, 128466, 128761, 129541, 624, 785, 78, 647, 38957, 11, 128263, 128688, 220, 18, 14, 24, 11, 128487, 128320, 220, 16, 21, 132864, 128310, 69086, 128367, 326, 52885, 82790, 128348, 128334, 128466, 128272, 40100, 40225, 42, 444, 125017, 356, 2143, 13, 1163, 644, 65526, 220, 23, 132864, 128310, 521, 124644, 128560, 132932, 128291, 28776, 220, 17, 128251, 7777, 4076, 128322, 128804, 348, 644, 2162, 78, 624, 53, 51947, 132864, 128310, 128279, 272, 48291, 129368, 132278, 73525, 128668, 128282, 86139, 139127, 274, 41603, 11, 78228, 130103, 274, 125093, 79126, 140552, 128859, 129483, 127657, 128853, 15122, 130553, 139127, 274, 41603, 13, 136146, 220, 16, 16, 71, 11, 98127, 65526, 128502, 128365, 128480, 59735, 132864, 128310, 96535, 139511, 133713, 128333, 11, 128344, 128487, 128282, 458, 129719, 11, 138762, 128392, 131307, 79668, 128453, 128310, 139511, 128904, 130344, 13, 328, 94963, 129700, 132864, 128310, 28776, 128960, 128871, 142244, 138628, 11, 126341, 77, 128560, 130980, 134226, 624, 34, 125437, 132864, 128310, 132932, 128279, 128907, 521, 124644, 128560, 79126, 63478, 129263, 128373, 296, 60257, 79668, 128757, 129470, 139127, 274, 41603, 624, 21, 132864, 128310, 132932, 128354, 79126, 139511, 128327, 133713, 128333, 624, 33, 29341, 274, 125093, 130597, 129126, 21018, 92599, 481, 133761, 137295, 133796, 40100, 40225, 42, 129018, 444, 125017, 356, 2143, 2600, 128345, 25, 128678, 132864, 128310, 128348, 130668, 128269, 46051, 72067, 64, 142769, 521, 124644, 128560, 47742, 142769, 129822, 128319, 128322, 128450, 53037, 128279, 14854, 68, 294, 41603, 64, 128439, 129461, 13, 128678, 128453, 128310, 96535, 28776, 128254, 128267, 128415, 129972, 131969, 13, 143958, 308, 352, 11, 78228, 130103, 274, 125093, 59735, 40100, 425, 125202, 42256, 128424, 128884, 50196, 129374, 47742, 78228, 128422, 128279, 128360, 128422, 128350, 79668, 128430, 128347, 128296, 128424, 128884, 128334, 128466, 128453, 128310, 624, 1282, 644, 220, 17, 128300, 73525, 11, 40100, 40225, 42, 444, 125017, 356, 2143, 79126, 305, 4076, 128285, 129597, 128907, 78228, 128422, 128279, 11, 128675, 129698, 47742, 129188, 135518, 130103, 274, 125093, 79668, 129156, 130489, 78228, 132864, 128310, 69086, 128367, 52537, 132864, 326, 52885, 82790, 13, 132743, 128272, 128487, 28776, 128249, 130103, 274, 125093, 59735, 40100, 425, 125202, 42256, 47742, 128249, 130103, 274, 125093, 40100, 128324, 129938, 129481, 128886, 128334, 128466, 128272, 40100, 624, 57447, 320, 83, 60257, 968, 128319, 4292, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022 ]
1,023
[ 40225, 39938, 128415, 92105, 128265, 128502, 128365, 11, 129414, 128367, 59735, 129029, 32744, 5, 14903, 198, 33, 37678, 32744, 5, 14903, 128348, 126258, 132972, 141127, 128333, 126370, 128333, 128502, 128365, 11, 129414, 128367, 11, 128918, 129572, 47742, 128322, 133795, 126341, 128502, 59735, 129029, 624, 1282, 50483, 128760, 129029, 32744, 5, 14903, 624, 53, 35928, 128597, 11, 128502, 128365, 59735, 129029, 624, 785, 78, 910, 20868, 759, 84, 75157, 11, 133784, 132972, 308, 124634, 129398, 11, 128265, 128444, 128597, 47742, 128502, 128365, 11, 129029, 32744, 5, 14903, 26, 37915, 128322, 922, 276, 59735, 129591, 130388, 11, 128336, 128283, 128502, 128365, 129270, 128356, 128275, 128301, 128265, 293, 125672, 128311, 26, 3275, 125115, 92430, 26, 259, 69611, 65526, 128867, 130980, 128484, 26, 62029, 128386, 62029, 128781, 92430, 24790, 11, 128484, 128804, 26, 128740, 128284, 356, 6408, 51, 11, 128311, 130388, 128484, 128804, 26, 458, 128401, 92430, 24790, 26, 128603, 128997, 11, 128415, 128450, 11, 128362, 1091, 71, 47742, 129045, 128338, 11, 92430, 24790, 128484, 128804, 11, 92430, 133270, 11, 92430, 24790, 128421, 130906, 11, 92430, 24790, 128322, 128760, 320, 70, 125529, 141070, 37915, 92430, 24790, 481, 128603, 128997, 8, 47742, 131140, 131520, 92430, 24790, 47742, 129045, 92430, 128664, 94995, 26, 129270, 128356, 128275, 128301, 78228, 128507, 128367, 62029, 69086, 78228, 129857, 11, 132122, 128978, 129281, 130375, 3275, 129270, 128356, 128275, 128301, 59735, 129029, 624, 53, 39938, 128603, 128997, 320, 64841, 130068, 128603, 128997, 304, 11, 128603, 128484, 128804, 11, 128362, 1091, 71, 11, 129045, 128338, 11, 92430, 24790, 128484, 128804, 11, 128450, 24790, 92430, 133270, 1648, 128846, 128653, 11, 98127, 128854, 11, 126341, 128502, 128336, 128283, 126370, 130361, 128362, 128531, 47742, 129270, 128356, 128603, 128997, 69086, 125440, 128301, 11, 128683, 128441, 128479, 129054, 128322, 922, 276, 128454, 136003, 128269, 128301, 128703, 59735, 78228, 128322, 922, 276, 128603, 128997, 128324, 29974, 79126, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 26, 356, 124614, 11, 94995, 129572, 11, 132038, 128726, 11, 130623, 39339, 11, 139511, 128890, 98127, 11, 128890, 98127, 11, 77374, 130344, 131826, 130224, 128623, 128285, 128603, 128997, 26, 128376, 11, 77374, 130344, 137118, 128275, 128603, 26, 128376, 130224, 2600, 128603, 128997, 128415, 128450, 128269, 128301, 128703, 128362, 128373, 128272, 128324, 29974, 26, 132677, 131678, 128289, 136856, 128603, 624, 39, 125097, 128653, 11, 126341, 128502, 47742, 129522, 9586, 128336, 128283, 126370, 130361, 128265, 128362, 128531, 3275, 125115, 92430, 47742, 8031, 26, 128322, 128751, 11, 128311, 95082, 128362, 128531, 3275, 125115, 92430, 47742, 8031, 26, 129270, 128356, 126260, 128331, 3275, 125115, 92430, 26, 8943, 128373, 98896, 129203, 11, 130375, 3275, 11, 128421, 129014, 11, 128309, 272, 124603, 128507, 128367, 3275, 125115, 92430, 62029, 130123, 47742, 128322, 128751, 11, 129240, 129481, 128886, 653, 27924, 128386, 128336, 128283, 128278, 128379, 131140, 131520, 3275, 125115, 92430, 11, 272, 2185, 128376, 128507, 128367, 3275, 125115, 92430, 62029, 130123, 279, 78, 126370, 128333, 59735, 128513, 129963, 26, 128846, 128653, 47742, 129270, 128356, 128265, 129623, 23686, 71, 47742, 128486, 128784, 23686, 71, 132677, 69086, 132122, 128978, 3275, 125115, 92430, 47742, 8031, 26, 128417, 129067, 128918, 128994, 128251, 128353, 128284, 128507, 128367, 3275, 125115, 92430, 47742, 8031, 624, 53, 39938, 259, 69611, 65526, 128867, 130980, 128484, 11, 128846, 128653, 11, 126341, 128502, 128336, 128283, 126370, 130361, 129045, 128653, 128362, 136847, 26, 126370, 130361, 132175, 259, 69611, 65526, 128867, 130980, 128484, 128664, 94995, 79126, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 26, 130085, 132630, 11, 131628, 128319, 128250, 129029, 128494, 128441, 11, 129029, 128534, 458, 129036, 521, 685, 139829, 259, 69611, 128904, 128367, 129203, 134569, 128664, 128441, 11, 458, 19550, 71, 128361, 130390, 131943, 129591, 130388, 134634, 141840, 26, 22730, 128373, 126370, 130361, 139829, 259, 69611, 11, 126370, 130361, 129036, 142770, 259, 69611, 65526, 11, 126370, 130361, 128353, 128284, 142770, 259, 69611, 65526, 11, 126370, 128333, 128265, 128334, 129065, 129036, 130623, 11, 220, 124644, 128333, 47742, 128353, 128284, 259, 69611, 65526, 128867, 130980, 128484, 11, 139829, 259, 69611, 65526, 128867, 130980, 128484, 624, 34, 38715, 133795, 126341, 128502, 624, 785, 78, 126258, 132972, 11, 128322, 133795, 126341, 128502, 59735, 129029, 130068, 647, 50483, 425, 125672, 128311, 11, 647, 50483, 128534, 128781, 92430, 24790, 11, 647, 50483, 730, 98661, 128292, 47742, 128534, 128781, 11, 647, 50483, 730, 26068, 130361, 481, 134352, 128311, 11, 647, 50483, 140428, 128356, 653, 27924, 128386, 11, 647, 50483, 472, 84300, 79, 128400, 128664, 128384, 11, 647, 50483, 132034, 128751, 11, 647, 50483, 59123, 141305, 481, 730, 12032, 132720, 11, 647, 50483, 126778, 128502, 132356, 128366, 11, 663, 27924, 9586, 129029, 11, 129126, 128441, 129029, 11, 356, 92704, 133602, 128997, 11, 356, 92704, 135322, 1091, 71, 11, 129045, 128338, 47742, 92430, 24790, 128484, 128804, 624, 34, 88771, 128270, 37915, 78228, 128666, 128444, 356, 92704, 56414, 51358, 128450, 11, 758, 47742, 135322, 128373, 11, 356, 92704, 130303, 24790, 128322, 128760, 11, 356, 92704, 130303, 24790, 128421, 130906, 11, 356, 92704, 11401, 125115, 92430, 11, 356, 92704, 350, 69611, 65526, 128867, 130980, 128484, 11, 356, 92704, 128534, 128400, 129854, 29974, 11, 356, 92704, 56255, 128292, 128585, 11, 356, 92704, 1527, 128401, 92430, 24790, 11, 356, 92704, 425, 125672, 128484, 1163, 2185, 220, 85375, 11, 141004, 142226, 136312, 32744, 5, 14903, 71554, 1163, 2185, 128396, 130303, 24790, 11, 128603, 425, 125672, 128484, 128324, 29974, 11, 128603, 128484, 128804, 22500, 4711, 11, 138628, 128997, 32744, 5, 14903, 71554, 133907, 129972, 128534, 128781, 293, 125672, 128311, 11, 3275, 125115, 92430, 11, 131431, 50327, 125017, 128425, 11, 425, 125058, 129852, 132356, 128366, 129270, 128356, 32744, 5, 14903, 624, 53, 50483, 126778, 128502, 132356, 128366, 11, 647, 50483, 730, 26068, 130361, 220, 134352, 128311, 11, 647, 50483, 730, 98661, 128292, 47742, 128534, 128781, 63478, 126341, 128502, 53037, 128459, 220, 19, 128441, 13, 647, 50483, 132034, 128751, 63478, 126341, 128502, 132850, 29458, 88488, 134814, 128799, 128884, 128373, 128311, 624, 33, 37678, 129528, 129029, 32744, 5, 14903, 26, 128361, 130390, 131943, 129591, 130388, 8943, 128373, 98896, 95082, 78228, 128666, 128444, 128277, 128386, 11, 126341, 128502, 128556, 128311, 128275, 128301, 129281, 129029, 624, 47, 5058, 624, 51, 85375, 128400, 129372, 128424, 128250, 74202, 9984, 128273, 5573, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40225, 39938, 128415, 92105, 128265, 128502, 128365, 11, 129414, 128367, 59735, 129029, 32744, 5, 14903, 198, 33, 37678, 32744, 5, 14903, 128348, 126258, 132972, 141127, 128333, 126370, 128333, 128502, 128365, 11, 129414, 128367, 11, 128918, 129572, 47742, 128322, 133795, 126341, 128502, 59735, 129029, 624, 1282, 50483, 128760, 129029, 32744, 5, 14903, 624, 53, 35928, 128597, 11, 128502, 128365, 59735, 129029, 624, 785, 78, 910, 20868, 759, 84, 75157, 11, 133784, 132972, 308, 124634, 129398, 11, 128265, 128444, 128597, 47742, 128502, 128365, 11, 129029, 32744, 5, 14903, 26, 37915, 128322, 922, 276, 59735, 129591, 130388, 11, 128336, 128283, 128502, 128365, 129270, 128356, 128275, 128301, 128265, 293, 125672, 128311, 26, 3275, 125115, 92430, 26, 259, 69611, 65526, 128867, 130980, 128484, 26, 62029, 128386, 62029, 128781, 92430, 24790, 11, 128484, 128804, 26, 128740, 128284, 356, 6408, 51, 11, 128311, 130388, 128484, 128804, 26, 458, 128401, 92430, 24790, 26, 128603, 128997, 11, 128415, 128450, 11, 128362, 1091, 71, 47742, 129045, 128338, 11, 92430, 24790, 128484, 128804, 11, 92430, 133270, 11, 92430, 24790, 128421, 130906, 11, 92430, 24790, 128322, 128760, 320, 70, 125529, 141070, 37915, 92430, 24790, 481, 128603, 128997, 8, 47742, 131140, 131520, 92430, 24790, 47742, 129045, 92430, 128664, 94995, 26, 129270, 128356, 128275, 128301, 78228, 128507, 128367, 62029, 69086, 78228, 129857, 11, 132122, 128978, 129281, 130375, 3275, 129270, 128356, 128275, 128301, 59735, 129029, 624, 53, 39938, 128603, 128997, 320, 64841, 130068, 128603, 128997, 304, 11, 128603, 128484, 128804, 11, 128362, 1091, 71, 11, 129045, 128338, 11, 92430, 24790, 128484, 128804, 11, 128450, 24790, 92430, 133270, 1648, 128846, 128653, 11, 98127, 128854, 11, 126341, 128502, 128336, 128283, 126370, 130361, 128362, 128531, 47742, 129270, 128356, 128603, 128997, 69086, 125440, 128301, 11, 128683, 128441, 128479, 129054, 128322, 922, 276, 128454, 136003, 128269, 128301, 128703, 59735, 78228, 128322, 922, 276, 128603, 128997, 128324, 29974, 79126, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 26, 356, 124614, 11, 94995, 129572, 11, 132038, 128726, 11, 130623, 39339, 11, 139511, 128890, 98127, 11, 128890, 98127, 11, 77374, 130344, 131826, 130224, 128623, 128285, 128603, 128997, 26, 128376, 11, 77374, 130344, 137118, 128275, 128603, 26, 128376, 130224, 2600, 128603, 128997, 128415, 128450, 128269, 128301, 128703, 128362, 128373, 128272, 128324, 29974, 26, 132677, 131678, 128289, 136856, 128603, 624, 39, 125097, 128653, 11, 126341, 128502, 47742, 129522, 9586, 128336, 128283, 126370, 130361, 128265, 128362, 128531, 3275, 125115, 92430, 47742, 8031, 26, 128322, 128751, 11, 128311, 95082, 128362, 128531, 3275, 125115, 92430, 47742, 8031, 26, 129270, 128356, 126260, 128331, 3275, 125115, 92430, 26, 8943, 128373, 98896, 129203, 11, 130375, 3275, 11, 128421, 129014, 11, 128309, 272, 124603, 128507, 128367, 3275, 125115, 92430, 62029, 130123, 47742, 128322, 128751, 11, 129240, 129481, 128886, 653, 27924, 128386, 128336, 128283, 128278, 128379, 131140, 131520, 3275, 125115, 92430, 11, 272, 2185, 128376, 128507, 128367, 3275, 125115, 92430, 62029, 130123, 279, 78, 126370, 128333, 59735, 128513, 129963, 26, 128846, 128653, 47742, 129270, 128356, 128265, 129623, 23686, 71, 47742, 128486, 128784, 23686, 71, 132677, 69086, 132122, 128978, 3275, 125115, 92430, 47742, 8031, 26, 128417, 129067, 128918, 128994, 128251, 128353, 128284, 128507, 128367, 3275, 125115, 92430, 47742, 8031, 624, 53, 39938, 259, 69611, 65526, 128867, 130980, 128484, 11, 128846, 128653, 11, 126341, 128502, 128336, 128283, 126370, 130361, 129045, 128653, 128362, 136847, 26, 126370, 130361, 132175, 259, 69611, 65526, 128867, 130980, 128484, 128664, 94995, 79126, 63478, 130390, 131943, 129591, 130388, 134634, 141840, 26, 130085, 132630, 11, 131628, 128319, 128250, 129029, 128494, 128441, 11, 129029, 128534, 458, 129036, 521, 685, 139829, 259, 69611, 128904, 128367, 129203, 134569, 128664, 128441, 11, 458, 19550, 71, 128361, 130390, 131943, 129591, 130388, 134634, 141840, 26, 22730, 128373, 126370, 130361, 139829, 259, 69611, 11, 126370, 130361, 129036, 142770, 259, 69611, 65526, 11, 126370, 130361, 128353, 128284, 142770, 259, 69611, 65526, 11, 126370, 128333, 128265, 128334, 129065, 129036, 130623, 11, 220, 124644, 128333, 47742, 128353, 128284, 259, 69611, 65526, 128867, 130980, 128484, 11, 139829, 259, 69611, 65526, 128867, 130980, 128484, 624, 34, 38715, 133795, 126341, 128502, 624, 785, 78, 126258, 132972, 11, 128322, 133795, 126341, 128502, 59735, 129029, 130068, 647, 50483, 425, 125672, 128311, 11, 647, 50483, 128534, 128781, 92430, 24790, 11, 647, 50483, 730, 98661, 128292, 47742, 128534, 128781, 11, 647, 50483, 730, 26068, 130361, 481, 134352, 128311, 11, 647, 50483, 140428, 128356, 653, 27924, 128386, 11, 647, 50483, 472, 84300, 79, 128400, 128664, 128384, 11, 647, 50483, 132034, 128751, 11, 647, 50483, 59123, 141305, 481, 730, 12032, 132720, 11, 647, 50483, 126778, 128502, 132356, 128366, 11, 663, 27924, 9586, 129029, 11, 129126, 128441, 129029, 11, 356, 92704, 133602, 128997, 11, 356, 92704, 135322, 1091, 71, 11, 129045, 128338, 47742, 92430, 24790, 128484, 128804, 624, 34, 88771, 128270, 37915, 78228, 128666, 128444, 356, 92704, 56414, 51358, 128450, 11, 758, 47742, 135322, 128373, 11, 356, 92704, 130303, 24790, 128322, 128760, 11, 356, 92704, 130303, 24790, 128421, 130906, 11, 356, 92704, 11401, 125115, 92430, 11, 356, 92704, 350, 69611, 65526, 128867, 130980, 128484, 11, 356, 92704, 128534, 128400, 129854, 29974, 11, 356, 92704, 56255, 128292, 128585, 11, 356, 92704, 1527, 128401, 92430, 24790, 11, 356, 92704, 425, 125672, 128484, 1163, 2185, 220, 85375, 11, 141004, 142226, 136312, 32744, 5, 14903, 71554, 1163, 2185, 128396, 130303, 24790, 11, 128603, 425, 125672, 128484, 128324, 29974, 11, 128603, 128484, 128804, 22500, 4711, 11, 138628, 128997, 32744, 5, 14903, 71554, 133907, 129972, 128534, 128781, 293, 125672, 128311, 11, 3275, 125115, 92430, 11, 131431, 50327, 125017, 128425, 11, 425, 125058, 129852, 132356, 128366, 129270, 128356, 32744, 5, 14903, 624, 53, 50483, 126778, 128502, 132356, 128366, 11, 647, 50483, 730, 26068, 130361, 220, 134352, 128311, 11, 647, 50483, 730, 98661, 128292, 47742, 128534, 128781, 63478, 126341, 128502, 53037, 128459, 220, 19, 128441, 13, 647, 50483, 132034, 128751, 63478, 126341, 128502, 132850, 29458, 88488, 134814, 128799, 128884, 128373, 128311, 624, 33, 37678, 129528, 129029, 32744, 5, 14903, 26, 128361, 130390, 131943, 129591, 130388, 8943, 128373, 98896, 95082, 78228, 128666, 128444, 128277, 128386, 11, 126341, 128502, 128556, 128311, 128275, 128301, 129281, 129029, 624, 47, 5058, 624, 51, 85375, 128400, 129372, 128424, 128250, 74202, 9984, 128273, 5573, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986 ]
987
[ 46841, 1953, 130180, 129630, 129240, 132058, 128281, 220, 16, 128526, 73525, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 328, 124397, 220, 17, 17, 14, 16, 15, 11, 128309, 130180, 47742, 134424, 128757, 129630, 129240, 132058, 128281, 69086, 128304, 128249, 128526, 11, 69086, 293, 87939, 129111, 78228, 128275, 128278, 128379, 128830, 128846, 28240, 128329, 19551, 47742, 1062, 72, 128358, 37915, 128837, 136003, 220, 125641, 458, 128401, 11, 32154, 94994, 140694, 131531, 130641, 137535, 59735, 128819, 489, 125997, 129630, 11, 128266, 294, 84455, 128350, 128253, 775, 138039, 128265, 128738, 129700, 59735, 131167, 595, 20868, 128384, 128401, 128451, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 51, 37059, 20539, 11, 128309, 130180, 79126, 136978, 129630, 129240, 132058, 220, 16, 13, 22, 16, 18, 19551, 14, 9734, 11, 128371, 94994, 128904, 130344, 128350, 220, 16, 13, 22, 17, 15, 11, 17, 16, 19551, 14, 9734, 86139, 128730, 220, 22, 128626, 220, 17, 16, 130747, 128439, 279, 78, 128626, 128324, 29974, 26, 128320, 128309, 130180, 342, 22516, 128526, 220, 16, 17, 14, 17, 15, 16, 17, 128757, 220, 15, 11, 16, 20, 4, 129630, 220, 16, 13, 22, 17, 16, 11, 20, 15, 19551, 14, 9734, 13, 84137, 129213, 130180, 11, 128309, 134424, 342, 22516, 7777, 352, 128757, 220, 15, 11, 19, 19, 4, 129630, 220, 18, 16, 11, 24, 16, 19551, 14, 9734, 624, 50, 27607, 88057, 128573, 127444, 2600, 128391, 78228, 922, 125093, 128278, 128379, 79126, 128757, 128375, 135905, 129566, 61758, 128585, 59735, 128819, 129630, 129240, 132058, 128281, 130291, 94576, 129742, 128526, 220, 23, 14, 17, 15, 16, 17, 11, 129181, 128327, 128406, 134666, 775, 138039, 128265, 595, 20868, 128384, 128314, 128449, 132668, 128309, 78228, 128387, 61758, 73586, 129630, 624, 39, 124489, 130097, 140156, 140868, 130567, 35892, 59735, 130578, 1308, 71, 133539, 135285, 320, 38807, 701, 128960, 15122, 69086, 220, 17, 128300, 220, 16, 23, 12, 16, 24, 14, 16, 15, 11, 79126, 128403, 133600, 128250, 128253, 128285, 131860, 132367, 129398, 128784, 128396, 59735, 78228, 128275, 131400, 128854, 9812, 128267, 128373, 128285, 272, 85375, 128784, 79668, 128486, 128784, 128419, 129916, 139529, 133863, 128273, 126260, 128331, 128556, 128311, 11, 23165, 124312, 128904, 98170, 24790, 47742, 135984, 23165, 125531, 128529, 129528, 128268, 128260, 128289, 128266, 624, 1143, 124656, 72067, 11390, 133539, 42812, 128329, 137634, 128757, 624, 1143, 124656, 72067, 11390, 133539, 42812, 129367, 129137, 133234, 342, 22516, 128507, 128300, 220, 17, 17, 14, 16, 15, 128424, 128884, 14854, 6362, 128757, 11, 94994, 130884, 128419, 59735, 128275, 128278, 128379, 128250, 78228, 128556, 85636, 435, 42504, 72, 926, 128757, 274, 124931, 653, 128403, 128432, 595, 20868, 653, 27924, 128882, 130034, 130949, 59735, 78228, 62029, 13580, 128819, 47742, 128277, 274, 50483, 83, 128757, 128415, 97610, 128818, 128304, 126258, 128935, 59735, 129898, 130164, 624, 1143, 71179, 65526, 386, 70579, 59735, 128977, 72067, 11390, 133539, 42812, 70526, 124900, 129336, 130695, 320, 376, 124185, 129898, 130164, 8, 128757, 220, 15, 11, 21, 14360, 132026, 65526, 37047, 40639, 59735, 663, 98210, 131039, 128757, 220, 16, 15, 11, 15, 20, 128406, 11, 17669, 220, 15, 11, 19, 22, 13384, 129630, 220, 17, 13, 16, 16, 23, 11, 17, 20, 128406, 13, 132026, 65526, 40775, 328, 826, 59735, 135196, 730, 24015, 128757, 220, 16, 16, 16, 11, 22, 20, 128406, 11, 17669, 220, 15, 11, 20, 17, 13384, 129630, 220, 17, 16, 13, 19, 19, 15, 11, 15, 16, 128406, 13, 132026, 65526, 37108, 2493, 59735, 130442, 128494, 128757, 220, 17, 19, 11, 16, 17, 128406, 11, 17669, 220, 16, 11, 17, 19, 13384, 129630, 220, 16, 13, 24, 16, 24, 11, 22, 17, 128406, 13, 132026, 65526, 21573, 440, 72, 220, 17, 17, 20, 59735, 26194, 128757, 220, 16, 17, 23, 11, 16, 21, 128406, 11, 17669, 220, 16, 11, 19, 17, 13384, 129630, 220, 23, 13, 23, 22, 19, 11, 20, 17, 128406, 624, 1282, 644, 94994, 128270, 11, 128977, 72067, 11390, 128819, 521, 125456, 133234, 129742, 130681, 128371, 128269, 129240, 132058, 128281, 130291, 94576, 129742, 128526, 220, 21, 11, 32154, 94994, 78228, 62029, 13580, 270, 309, 94995, 86139, 98127, 65526, 42432, 11935, 37915, 3251, 20598, 47742, 30914, 594, 128603, 129410, 128403, 128432, 595, 20868, 653, 27924, 128575, 129541, 11, 69086, 94994, 128358, 63478, 1062, 72, 37915, 78228, 129209, 126500, 79668, 128826, 128309, 128419, 128338, 131167, 595, 20868, 128384, 13, 1163, 644, 65526, 220, 16, 16, 21, 62029, 13580, 270, 309, 94995, 86139, 98127, 65526, 11766, 609, 44673, 594, 220, 20, 15, 15, 79126, 128603, 129410, 128994, 141581, 11, 220, 21, 15, 4, 28776, 128403, 128432, 132629, 126258, 128603, 59735, 78228, 128275, 129036, 128761, 11, 132058, 128304, 773, 128250, 390, 65526, 220, 21, 22, 4, 69086, 220, 19, 129681, 128371, 624, 53, 51947, 129898, 130164, 11, 128415, 97610, 59735, 128301, 96535, 69086, 128526, 220, 24, 128757, 220, 16, 15, 11, 18, 4, 773, 128250, 128340, 128880, 128290, 126339, 124900, 11, 129240, 2162, 78, 128304, 126258, 128603, 13, 1163, 644, 94994, 128270, 11, 128403, 128432, 128334, 9586, 59735, 22841, 2600, 128391, 98170, 24790, 59735, 78228, 128275, 128751, 128425, 129898, 130164, 128757, 128250, 133061, 128368, 128818, 128281, 130291, 94576, 94994, 131871, 15122, 130978, 76, 126247, 64, 128285, 128750, 11, 129630, 129240, 132058, 128281, 130291, 94576, 128290, 220, 17, 15, 16, 15, 13, 1163, 27924, 132677, 131400, 140926, 129181, 129898, 130164, 128250, 1163, 2185, 128494, 79126, 128266, 94995, 128529, 922, 276, 138039, 128265, 128253, 128400, 128285, 595, 20868, 128384, 128421, 128250, 129898, 130164, 624, 53, 51947, 1163, 2185, 128494, 11, 69086, 94994, 141580, 128451, 59735, 128301, 96535, 129553, 128348, 128882, 128622, 775, 138039, 2600, 128529, 129528, 59735, 128401, 128451, 11, 128334, 9586, 59735, 22841, 2600, 128391, 131167, 595, 20868, 128384, 128465, 128720, 46051, 128314, 128449, 96535, 28776, 128254, 128904, 130344, 131314, 69086, 129681, 16824, 11, 132666, 128278, 128379, 128943, 128855, 128322, 128760, 131140, 131520, 11, 5492, 14854, 6362, 128529, 129528, 128267, 128487, 128651, 293, 133592, 128818, 69086, 128290, 220, 17, 15, 16, 18, 624, 51, 37059, 133539, 135285, 11, 130390, 131943, 129938, 37143, 46420, 79126, 128845, 15122, 128253, 128570, 138039, 92105, 69086, 128289, 2600, 130224, 922, 125093, 129156, 128886, 127980, 128978, 293, 38715, 76, 128515, 129372, 128424, 2600, 78228, 131538, 61758, 129553, 135153, 94576, 128290, 128447, 11, 69086, 94994, 78228, 128275, 131400, 128854, 133539, 135285, 79126, 128281, 128597, 128422, 128980, 128322, 922, 276, 133804, 129261, 131538, 61758, 521, 2185, 94576, 128290, 220, 17, 15, 16, 18, 13, 1163, 644, 94994, 128270, 11, 130951, 22730, 451, 4223, 128487, 128980, 326, 76294, 69086, 128289, 28776, 128360, 129156, 128886, 59735, 133539, 135285, 17669, 53037, 624, 46841, 1953, 131318, 128871, 128285, 130641, 131149, 624, 50, 124397, 220, 17, 17, 14, 16, 15, 11, 128309, 131318, 128273, 126260, 128331, 133539, 42812, 128871, 128285, 130641, 131149, 11, 69086, 293, 87939, 129111, 78228, 128275, 128278, 128379, 128348, 130719, 128703, 126260, 128331, 133459, 137183, 128403, 128432, 595, 20868, 653, 27924, 59735, 78228, 653, 27924, 128386, 128819, 11, 32154, 94994, 130681, 128371, 3251, 20598, 11, 30914, 594, 47742, 5100, 62029, 128888, 128403, 128432, 53037, 132222, 129363, 922, 276, 624, 51, 37059, 328, 88602, 342, 22516, 128507, 128484, 128804, 20539, 11, 128309, 131318, 139138, 131314, 1532, 4261, 342, 22516, 128526, 220, 16, 16, 14, 17, 15, 16, 17, 128757, 220, 19, 92654, 129630, 220, 24, 15, 11, 15, 16, 19551, 20439, 88771, 26, 128320, 128309, 131318, 46331, 12100, 86882, 130726, 342, 22516, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 128529, 220, 16, 21, 92654, 128350, 220, 16, 16, 15, 11, 18, 15, 19551, 20439, 88771, 624, 79759, 6362, 129036, 128761, 22467, 32007, 11, 129281, 46180, 46810, 20539, 11, 128370, 128333, 92430, 24790, 92105, 128265, 78228, 62029, 13580, 128819, 128348, 37915, 128310, 129556, 25798, 131628, 126260, 128331, 131318, 296, 85142, 69086, 130681, 96535, 13, 133784, 128935, 11, 60136, 76502, 11, 57046, 11, 8162, 47742, 8755, 377, 128267, 62029, 128888, 128994, 141581, 69086, 130681, 96535, 13, 18971, 11, 133954, 23686, 71, 128994, 141581, 59735, 78228, 62029, 13580, 128819, 63478, 128826, 128309, 37915, 128949, 330, 84, 18698, 76, 1, 47742, 128400, 128285, 128575, 129541, 128263, 128531, 130949, 59735, 78228, 126260, 128331, 61758, 128585, 128401, 128451, 624, 785, 78, 128436, 32007, 11, 78228, 128275, 342, 22516, 128507, 128273, 126260, 128331, 128268, 128348, 7777, 124890, 137183, 65526, 88057, 128265, 133061, 128368, 128529, 129528, 595, 20868, 128384, 59735, 128819, 11, 128664, 94995, 128575, 135364, 131318, 296, 85142, 128465, 128281, 128314, 128449, 624, 39, 125455, 8564, 71, 624, 151645 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46841, 1953, 130180, 129630, 129240, 132058, 128281, 220, 16, 128526, 73525, 198, 7, 1143, 20868, 759, 84, 75157, 8, 481, 328, 124397, 220, 17, 17, 14, 16, 15, 11, 128309, 130180, 47742, 134424, 128757, 129630, 129240, 132058, 128281, 69086, 128304, 128249, 128526, 11, 69086, 293, 87939, 129111, 78228, 128275, 128278, 128379, 128830, 128846, 28240, 128329, 19551, 47742, 1062, 72, 128358, 37915, 128837, 136003, 220, 125641, 458, 128401, 11, 32154, 94994, 140694, 131531, 130641, 137535, 59735, 128819, 489, 125997, 129630, 11, 128266, 294, 84455, 128350, 128253, 775, 138039, 128265, 128738, 129700, 59735, 131167, 595, 20868, 128384, 128401, 128451, 624, 126884, 16719, 1308, 71, 126247, 64, 624, 51, 37059, 20539, 11, 128309, 130180, 79126, 136978, 129630, 129240, 132058, 220, 16, 13, 22, 16, 18, 19551, 14, 9734, 11, 128371, 94994, 128904, 130344, 128350, 220, 16, 13, 22, 17, 15, 11, 17, 16, 19551, 14, 9734, 86139, 128730, 220, 22, 128626, 220, 17, 16, 130747, 128439, 279, 78, 128626, 128324, 29974, 26, 128320, 128309, 130180, 342, 22516, 128526, 220, 16, 17, 14, 17, 15, 16, 17, 128757, 220, 15, 11, 16, 20, 4, 129630, 220, 16, 13, 22, 17, 16, 11, 20, 15, 19551, 14, 9734, 13, 84137, 129213, 130180, 11, 128309, 134424, 342, 22516, 7777, 352, 128757, 220, 15, 11, 19, 19, 4, 129630, 220, 18, 16, 11, 24, 16, 19551, 14, 9734, 624, 50, 27607, 88057, 128573, 127444, 2600, 128391, 78228, 922, 125093, 128278, 128379, 79126, 128757, 128375, 135905, 129566, 61758, 128585, 59735, 128819, 129630, 129240, 132058, 128281, 130291, 94576, 129742, 128526, 220, 23, 14, 17, 15, 16, 17, 11, 129181, 128327, 128406, 134666, 775, 138039, 128265, 595, 20868, 128384, 128314, 128449, 132668, 128309, 78228, 128387, 61758, 73586, 129630, 624, 39, 124489, 130097, 140156, 140868, 130567, 35892, 59735, 130578, 1308, 71, 133539, 135285, 320, 38807, 701, 128960, 15122, 69086, 220, 17, 128300, 220, 16, 23, 12, 16, 24, 14, 16, 15, 11, 79126, 128403, 133600, 128250, 128253, 128285, 131860, 132367, 129398, 128784, 128396, 59735, 78228, 128275, 131400, 128854, 9812, 128267, 128373, 128285, 272, 85375, 128784, 79668, 128486, 128784, 128419, 129916, 139529, 133863, 128273, 126260, 128331, 128556, 128311, 11, 23165, 124312, 128904, 98170, 24790, 47742, 135984, 23165, 125531, 128529, 129528, 128268, 128260, 128289, 128266, 624, 1143, 124656, 72067, 11390, 133539, 42812, 128329, 137634, 128757, 624, 1143, 124656, 72067, 11390, 133539, 42812, 129367, 129137, 133234, 342, 22516, 128507, 128300, 220, 17, 17, 14, 16, 15, 128424, 128884, 14854, 6362, 128757, 11, 94994, 130884, 128419, 59735, 128275, 128278, 128379, 128250, 78228, 128556, 85636, 435, 42504, 72, 926, 128757, 274, 124931, 653, 128403, 128432, 595, 20868, 653, 27924, 128882, 130034, 130949, 59735, 78228, 62029, 13580, 128819, 47742, 128277, 274, 50483, 83, 128757, 128415, 97610, 128818, 128304, 126258, 128935, 59735, 129898, 130164, 624, 1143, 71179, 65526, 386, 70579, 59735, 128977, 72067, 11390, 133539, 42812, 70526, 124900, 129336, 130695, 320, 376, 124185, 129898, 130164, 8, 128757, 220, 15, 11, 21, 14360, 132026, 65526, 37047, 40639, 59735, 663, 98210, 131039, 128757, 220, 16, 15, 11, 15, 20, 128406, 11, 17669, 220, 15, 11, 19, 22, 13384, 129630, 220, 17, 13, 16, 16, 23, 11, 17, 20, 128406, 13, 132026, 65526, 40775, 328, 826, 59735, 135196, 730, 24015, 128757, 220, 16, 16, 16, 11, 22, 20, 128406, 11, 17669, 220, 15, 11, 20, 17, 13384, 129630, 220, 17, 16, 13, 19, 19, 15, 11, 15, 16, 128406, 13, 132026, 65526, 37108, 2493, 59735, 130442, 128494, 128757, 220, 17, 19, 11, 16, 17, 128406, 11, 17669, 220, 16, 11, 17, 19, 13384, 129630, 220, 16, 13, 24, 16, 24, 11, 22, 17, 128406, 13, 132026, 65526, 21573, 440, 72, 220, 17, 17, 20, 59735, 26194, 128757, 220, 16, 17, 23, 11, 16, 21, 128406, 11, 17669, 220, 16, 11, 19, 17, 13384, 129630, 220, 23, 13, 23, 22, 19, 11, 20, 17, 128406, 624, 1282, 644, 94994, 128270, 11, 128977, 72067, 11390, 128819, 521, 125456, 133234, 129742, 130681, 128371, 128269, 129240, 132058, 128281, 130291, 94576, 129742, 128526, 220, 21, 11, 32154, 94994, 78228, 62029, 13580, 270, 309, 94995, 86139, 98127, 65526, 42432, 11935, 37915, 3251, 20598, 47742, 30914, 594, 128603, 129410, 128403, 128432, 595, 20868, 653, 27924, 128575, 129541, 11, 69086, 94994, 128358, 63478, 1062, 72, 37915, 78228, 129209, 126500, 79668, 128826, 128309, 128419, 128338, 131167, 595, 20868, 128384, 13, 1163, 644, 65526, 220, 16, 16, 21, 62029, 13580, 270, 309, 94995, 86139, 98127, 65526, 11766, 609, 44673, 594, 220, 20, 15, 15, 79126, 128603, 129410, 128994, 141581, 11, 220, 21, 15, 4, 28776, 128403, 128432, 132629, 126258, 128603, 59735, 78228, 128275, 129036, 128761, 11, 132058, 128304, 773, 128250, 390, 65526, 220, 21, 22, 4, 69086, 220, 19, 129681, 128371, 624, 53, 51947, 129898, 130164, 11, 128415, 97610, 59735, 128301, 96535, 69086, 128526, 220, 24, 128757, 220, 16, 15, 11, 18, 4, 773, 128250, 128340, 128880, 128290, 126339, 124900, 11, 129240, 2162, 78, 128304, 126258, 128603, 13, 1163, 644, 94994, 128270, 11, 128403, 128432, 128334, 9586, 59735, 22841, 2600, 128391, 98170, 24790, 59735, 78228, 128275, 128751, 128425, 129898, 130164, 128757, 128250, 133061, 128368, 128818, 128281, 130291, 94576, 94994, 131871, 15122, 130978, 76, 126247, 64, 128285, 128750, 11, 129630, 129240, 132058, 128281, 130291, 94576, 128290, 220, 17, 15, 16, 15, 13, 1163, 27924, 132677, 131400, 140926, 129181, 129898, 130164, 128250, 1163, 2185, 128494, 79126, 128266, 94995, 128529, 922, 276, 138039, 128265, 128253, 128400, 128285, 595, 20868, 128384, 128421, 128250, 129898, 130164, 624, 53, 51947, 1163, 2185, 128494, 11, 69086, 94994, 141580, 128451, 59735, 128301, 96535, 129553, 128348, 128882, 128622, 775, 138039, 2600, 128529, 129528, 59735, 128401, 128451, 11, 128334, 9586, 59735, 22841, 2600, 128391, 131167, 595, 20868, 128384, 128465, 128720, 46051, 128314, 128449, 96535, 28776, 128254, 128904, 130344, 131314, 69086, 129681, 16824, 11, 132666, 128278, 128379, 128943, 128855, 128322, 128760, 131140, 131520, 11, 5492, 14854, 6362, 128529, 129528, 128267, 128487, 128651, 293, 133592, 128818, 69086, 128290, 220, 17, 15, 16, 18, 624, 51, 37059, 133539, 135285, 11, 130390, 131943, 129938, 37143, 46420, 79126, 128845, 15122, 128253, 128570, 138039, 92105, 69086, 128289, 2600, 130224, 922, 125093, 129156, 128886, 127980, 128978, 293, 38715, 76, 128515, 129372, 128424, 2600, 78228, 131538, 61758, 129553, 135153, 94576, 128290, 128447, 11, 69086, 94994, 78228, 128275, 131400, 128854, 133539, 135285, 79126, 128281, 128597, 128422, 128980, 128322, 922, 276, 133804, 129261, 131538, 61758, 521, 2185, 94576, 128290, 220, 17, 15, 16, 18, 13, 1163, 644, 94994, 128270, 11, 130951, 22730, 451, 4223, 128487, 128980, 326, 76294, 69086, 128289, 28776, 128360, 129156, 128886, 59735, 133539, 135285, 17669, 53037, 624, 46841, 1953, 131318, 128871, 128285, 130641, 131149, 624, 50, 124397, 220, 17, 17, 14, 16, 15, 11, 128309, 131318, 128273, 126260, 128331, 133539, 42812, 128871, 128285, 130641, 131149, 11, 69086, 293, 87939, 129111, 78228, 128275, 128278, 128379, 128348, 130719, 128703, 126260, 128331, 133459, 137183, 128403, 128432, 595, 20868, 653, 27924, 59735, 78228, 653, 27924, 128386, 128819, 11, 32154, 94994, 130681, 128371, 3251, 20598, 11, 30914, 594, 47742, 5100, 62029, 128888, 128403, 128432, 53037, 132222, 129363, 922, 276, 624, 51, 37059, 328, 88602, 342, 22516, 128507, 128484, 128804, 20539, 11, 128309, 131318, 139138, 131314, 1532, 4261, 342, 22516, 128526, 220, 16, 16, 14, 17, 15, 16, 17, 128757, 220, 19, 92654, 129630, 220, 24, 15, 11, 15, 16, 19551, 20439, 88771, 26, 128320, 128309, 131318, 46331, 12100, 86882, 130726, 342, 22516, 128526, 220, 16, 15, 14, 17, 15, 16, 17, 128529, 220, 16, 21, 92654, 128350, 220, 16, 16, 15, 11, 18, 15, 19551, 20439, 88771, 624, 79759, 6362, 129036, 128761, 22467, 32007, 11, 129281, 46180, 46810, 20539, 11, 128370, 128333, 92430, 24790, 92105, 128265, 78228, 62029, 13580, 128819, 128348, 37915, 128310, 129556, 25798, 131628, 126260, 128331, 131318, 296, 85142, 69086, 130681, 96535, 13, 133784, 128935, 11, 60136, 76502, 11, 57046, 11, 8162, 47742, 8755, 377, 128267, 62029, 128888, 128994, 141581, 69086, 130681, 96535, 13, 18971, 11, 133954, 23686, 71, 128994, 141581, 59735, 78228, 62029, 13580, 128819, 63478, 128826, 128309, 37915, 128949, 330, 84, 18698, 76, 1, 47742, 128400, 128285, 128575, 129541, 128263, 128531, 130949, 59735, 78228, 126260, 128331, 61758, 128585, 128401, 128451, 624, 785, 78, 128436, 32007, 11, 78228, 128275, 342, 22516, 128507, 128273, 126260, 128331, 128268, 128348, 7777, 124890, 137183, 65526, 88057, 128265, 133061, 128368, 128529, 129528, 595, 20868, 128384, 59735, 128819, 11, 128664, 94995, 128575, 135364, 131318, 296, 85142, 128465, 128281, 128314, 128449, 624, 39, 125455, 8564, 71, 624, 151645 ]
[ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207, 208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223, 224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239, 240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255, 256, 257, 258, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 273, 274, 275, 276, 277, 278, 279, 280, 281, 282, 283, 284, 285, 286, 287, 288, 289, 290, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300, 301, 302, 303, 304, 305, 306, 307, 308, 309, 310, 311, 312, 313, 314, 315, 316, 317, 318, 319, 320, 321, 322, 323, 324, 325, 326, 327, 328, 329, 330, 331, 332, 333, 334, 335, 336, 337, 338, 339, 340, 341, 342, 343, 344, 345, 346, 347, 348, 349, 350, 351, 352, 353, 354, 355, 356, 357, 358, 359, 360, 361, 362, 363, 364, 365, 366, 367, 368, 369, 370, 371, 372, 373, 374, 375, 376, 377, 378, 379, 380, 381, 382, 383, 384, 385, 386, 387, 388, 389, 390, 391, 392, 393, 394, 395, 396, 397, 398, 399, 400, 401, 402, 403, 404, 405, 406, 407, 408, 409, 410, 411, 412, 413, 414, 415, 416, 417, 418, 419, 420, 421, 422, 423, 424, 425, 426, 427, 428, 429, 430, 431, 432, 433, 434, 435, 436, 437, 438, 439, 440, 441, 442, 443, 444, 445, 446, 447, 448, 449, 450, 451, 452, 453, 454, 455, 456, 457, 458, 459, 460, 461, 462, 463, 464, 465, 466, 467, 468, 469, 470, 471, 472, 473, 474, 475, 476, 477, 478, 479, 480, 481, 482, 483, 484, 485, 486, 487, 488, 489, 490, 491, 492, 493, 494, 495, 496, 497, 498, 499, 500, 501, 502, 503, 504, 505, 506, 507, 508, 509, 510, 511, 512, 513, 514, 515, 516, 517, 518, 519, 520, 521, 522, 523, 524, 525, 526, 527, 528, 529, 530, 531, 532, 533, 534, 535, 536, 537, 538, 539, 540, 541, 542, 543, 544, 545, 546, 547, 548, 549, 550, 551, 552, 553, 554, 555, 556, 557, 558, 559, 560, 561, 562, 563, 564, 565, 566, 567, 568, 569, 570, 571, 572, 573, 574, 575, 576, 577, 578, 579, 580, 581, 582, 583, 584, 585, 586, 587, 588, 589, 590, 591, 592, 593, 594, 595, 596, 597, 598, 599, 600, 601, 602, 603, 604, 605, 606, 607, 608, 609, 610, 611, 612, 613, 614, 615, 616, 617, 618, 619, 620, 621, 622, 623, 624, 625, 626, 627, 628, 629, 630, 631, 632, 633, 634, 635, 636, 637, 638, 639, 640, 641, 642, 643, 644, 645, 646, 647, 648, 649, 650, 651, 652, 653, 654, 655, 656, 657, 658, 659, 660, 661, 662, 663, 664, 665, 666, 667, 668, 669, 670, 671, 672, 673, 674, 675, 676, 677, 678, 679, 680, 681, 682, 683, 684, 685, 686, 687, 688, 689, 690, 691, 692, 693, 694, 695, 696, 697, 698, 699, 700, 701, 702, 703, 704, 705, 706, 707, 708, 709, 710, 711, 712, 713, 714, 715, 716, 717, 718, 719, 720, 721, 722, 723, 724, 725, 726, 727, 728, 729, 730, 731, 732, 733, 734, 735, 736, 737, 738, 739, 740, 741, 742, 743, 744, 745, 746, 747, 748, 749, 750, 751, 752, 753, 754, 755, 756, 757, 758, 759, 760, 761, 762, 763, 764, 765, 766, 767, 768, 769, 770, 771, 772, 773, 774, 775, 776, 777, 778, 779, 780, 781, 782, 783, 784, 785, 786, 787, 788, 789, 790, 791, 792, 793, 794, 795, 796, 797, 798, 799, 800, 801, 802, 803, 804, 805, 806, 807, 808, 809, 810, 811, 812, 813, 814, 815, 816, 817, 818, 819, 820, 821, 822, 823, 824, 825, 826, 827, 828, 829, 830, 831, 832, 833, 834, 835, 836, 837, 838, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851, 852, 853, 854, 855, 856, 857, 858, 859, 860, 861, 862, 863, 864, 865, 866, 867, 868, 869, 870, 871, 872, 873, 874, 875, 876, 877, 878, 879, 880, 881, 882, 883, 884, 885, 886, 887, 888, 889, 890, 891, 892, 893, 894, 895, 896, 897, 898, 899, 900, 901, 902, 903, 904, 905, 906, 907, 908, 909, 910, 911, 912, 913, 914, 915, 916, 917, 918, 919, 920, 921, 922, 923, 924, 925, 926, 927, 928, 929, 930, 931, 932, 933, 934, 935, 936, 937, 938, 939, 940, 941, 942, 943, 944, 945, 946, 947, 948, 949, 950, 951, 952, 953, 954, 955, 956, 957, 958, 959, 960, 961, 962, 963, 964, 965, 966, 967, 968, 969, 970, 971, 972, 973, 974, 975, 976, 977, 978, 979, 980, 981, 982, 983, 984, 985, 986, 987, 988, 989, 990, 991, 992, 993, 994, 995, 996, 997, 998, 999, 1000, 1001, 1002, 1003, 1004, 1005, 1006, 1007, 1008, 1009, 1010, 1011, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 1024, 1025, 1026, 1027, 1028, 1029, 1030, 1031, 1032, 1033, 1034, 1035, 1036, 1037, 1038, 1039, 1040, 1041, 1042, 1043, 1044, 1045, 1046, 1047, 1048, 1049, 1050, 1051, 1052, 1053, 1054, 1055, 1056, 1057, 1058, 1059, 1060, 1061, 1062, 1063, 1064, 1065, 1066, 1067, 1068, 1069, 1070, 1071, 1072, 1073, 1074, 1075, 1076, 1077, 1078, 1079, 1080, 1081, 1082, 1083, 1084, 1085, 1086, 1087, 1088, 1089, 1090, 1091, 1092, 1093, 1094, 1095, 1096, 1097, 1098, 1099, 1100, 1101, 1102, 1103, 1104, 1105, 1106, 1107, 1108, 1109, 1110, 1111, 1112, 1113, 1114, 1115, 1116, 1117, 1118, 1119, 1120, 1121, 1122, 1123, 1124, 1125, 1126, 1127, 1128, 1129, 1130, 1131, 1132, 1133, 1134, 1135, 1136, 1137, 1138, 1139, 1140, 1141, 1142, 1143, 1144, 1145, 1146, 1147, 1148, 1149, 1150, 1151, 1152, 1153, 1154, 1155, 1156, 1157, 1158, 1159, 1160, 1161, 1162, 1163, 1164, 1165, 1166, 1167, 1168, 1169, 1170, 1171, 1172, 1173, 1174, 1175, 1176, 1177, 1178, 1179, 1180, 1181, 1182, 1183, 1184, 1185, 1186, 1187, 1188, 1189, 1190, 1191, 1192, 1193, 1194, 1195, 1196, 1197, 1198, 1199, 1200, 1201, 1202, 1203, 1204, 1205, 1206, 1207, 1208, 1209, 1210, 1211, 1212, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1220, 1221, 1222, 1223, 1224, 1225, 1226, 1227, 1228, 1229, 1230, 1231, 1232, 1233, 1234, 1235, 1236, 1237, 1238, 1239, 1240, 1241, 1242, 1243, 1244, 1245, 1246, 1247, 1248, 1249, 1250, 1251, 1252, 1253, 1254, 1255, 1256, 1257, 1258, 1259, 1260, 1261, 1262, 1263, 1264, 1265, 1266, 1267, 1268, 1269, 1270, 1271, 1272, 1273, 1274, 1275, 1276, 1277, 1278, 1279, 1280, 1281, 1282, 1283, 1284, 1285, 1286, 1287, 1288, 1289, 1290, 1291, 1292, 1293, 1294, 1295, 1296, 1297, 1298, 1299, 1300, 1301, 1302, 1303, 1304, 1305, 1306, 1307, 1308, 1309, 1310, 1311, 1312, 1313, 1314, 1315, 1316, 1317, 1318, 1319, 1320, 1321, 1322, 1323, 1324, 1325, 1326, 1327, 1328, 1329, 1330, 1331, 1332, 1333, 1334, 1335, 1336, 1337, 1338, 1339, 1340, 1341, 1342, 1343, 1344, 1345, 1346, 1347, 1348, 1349, 1350, 1351, 1352, 1353, 1354, 1355, 1356, 1357, 1358, 1359, 1360 ]
1,361