WhaletechAI/Absorb-1B-Dataset · Datasets at Hugging Face

input_ids listlengths 1.02k 1.02k	attention_mask listlengths 1.02k 1.02k
[ 0, 456, 68, 834, 68, 7426, 13, 4936, 31, 421, 17, 3658, 31, 421, 17, 4112, 31, 421, 17, 3331, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 800, 690, 4099, 292, 273, 3651, 18, 13821, 1883, 19, 204, 204, 264, 457, 31, 204, 268, 3054, 322, 339, 330, 334, 542, 302, 3054, 19, 204, 268, 3658, 322, 339, 330, 334, 542, 302, 3658, 19, 204, 268, 4112, 322, 339, 330, 334, 542, 302, 4112, 19, 204, 268, 3331, 322, 339, 330, 334, 542, 302, 3331, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 690, 4099, 292, 273, 3651, 18, 13821, 1883, 204, 264, 456, 13, 75, 1954, 4936, 98, 506, 402, 17, 463, 8618, 98, 4057, 402, 17, 463, 10530, 98, 1006, 312, 865, 318, 463, 6821, 98, 20609, 817, 865, 1280, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 3331, 497, 275, 575, 204, 264, 1113, 68, 6821, 289, 636, 68, 6418, 68, 4649, 68, 768, 499, 31176, 6972, 17, 23690, 2245, 287, 15692, 355, 20609, 817, 865, 9679, 355, 277, 8000, 15171, 31, 2810, 204, 264, 314, 2208, 275, 3331, 311, 690, 4099, 204, 264, 3054, 17, 3658, 17, 4112, 17, 3331, 289, 1814, 68, 6821, 68, 633, 68, 834, 68, 7426, 13, 2609, 68, 6821, 14, 204, 264, 314, 1198, 275, 722, 204, 264, 456, 68, 834, 68, 7426, 13, 4936, 17, 3658, 17, 4112, 17, 3331, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 5399, 353, 275, 5872, 18, 398, 2585, 302, 275, 1068, 17, 18191, 523, 275, 667, 1666, 329, 7057, 8557, 3576, 31, 204, 204, 777, 53, 34971, 25385, 35956, 777, 204, 204, 5681, 572, 529, 1048, 9553, 1693, 440, 273, 12168, 8001, 1922, 292, 273, 571, 18, 4386, 3245, 17, 382, 4006, 2964, 4030, 572, 6356, 636, 15575, 719, 560, 16449, 3667, 5256, 19, 204, 204, 18696, 872, 308, 2429, 897, 299, 521, 42703, 1780, 348, 700, 36, 204, 204, 5009, 1519, 311, 5500, 273, 3542, 571, 21033, 933, 496, 3192, 275, 2765, 17, 1101, 508, 830, 17, 302, 1214, 571, 39, 465, 10244, 628, 1338, 53, 933, 19, 204, 204, 5009, 618, 6024, 1214, 678, 18, 75, 1927, 6684, 25914, 1895, 490, 19486, 14, 560, 10974, 571, 39, 18, 276, 18, 7951, 497, 830, 4738, 827, 565, 57, 51, 329, 45969, 292, 2223, 753, 486, 7694, 19, 4253, 2219, 523, 565, 57, 51, 17, 1422, 677, 508, 3171, 311, 6061, 497, 5701, 273, 10244, 1693, 933, 440, 808, 753, 486, 19, 204, 204, 777, 9658, 3046, 20140, 329, 415, 936, 777, 204, 204, 9658, 3046, 20140, 353, 275, 1901, 48732, 11355, 685, 1422, 1629, 3303, 19, 1547, 33520, 678, 18, 75, 1927, 329, 1722, 18, 75, 1927, 17, 8534, 4386, 329, 552, 58, 17, 329, 392, 49, 4687, 20, 53, 2863, 20, 53, 2863, 29, 19, 1547, 677, 3332, 4315, 275, 2297, 302, 415, 936, 18022, 17, 329, 273, 5680, 1182, 15434, 1194, 415, 936, 1158, 322, 9798, 353, 275, 1729, 448, 415, 936, 18022, 17, 13576, 678, 18, 75, 1927, 8565, 789, 204, 204, 53, 936, 353, 275, 2599, 348, 552, 58, 8565, 678, 18, 75, 1927, 329, 1722, 18, 75, 1927, 17, 1101, 1877, 4636, 273, 6273, 440, 5973, 3046, 17, 382, 4030, 5973, 3046, 353, 8926, 1182, 7562, 19, 204, 204, 777, 53, 2863, 13716, 1387, 777, 204, 204, 673, 415, 2863, 46773, 874, 2842, 17066, 523, 275, 8328, 17, 329, 1250, 1120, 2652, 275, 2501, 275, 1470, 353, 15101, 322, 5705, 396, 8084, 292, 273, 14079, 2501, 789, 334, 415, 47, 10207, 1120, 3472, 2599, 7807, 348, 3153, 1415, 732, 275, 2548, 17, 754, 5566, 508, 732, 273, 11355, 311, 1895, 1475, 448, 3094, 448, 1250, 618, 444, 19, 204, 204, 53, 2863, 6094, 72, 353, 437, 24328, 6506, 329, 933, 34637, 348, 415, 2863, 19, 2935, 353, 11695, 1465, 490, 353, 496, 490, 9111, 933, 9790, 933, 24328, 928, 6999, 24328, 348, 2589, 2875, 1922, 292, 275, 933, 19, 1058, 5994, 523, 678, 18, 75, 1927, 17, 283, 1927, 17, 3638, 17, 329, 10469, 19, 1547, 677, 3870, 2900, 1169, 38468, 338, 275, 1563, 529, 4710, 19, 204, 204, 777, 53, 3484, 1927, 25385, 777, 204, 204, 53, 3484, 1927, 6684, 279, 1777, 23814, 353, 15502, 440, 678, 18, 75, 1927, 22887, 329, 6740, 19, 1785, 4006, 2964, 1519, 275, 1722, 18, 75, 1927, 2192, 311, 444, 21070, 9900, 292, 1552, 311, 21402, 630, 4789, 18, 23012, 678, 18, 75, 1927, 10207, 19, 204, 204, 12124, 10769, 348, 808, 31, 204, 204, 22, 19, 2680, 18, 75, 1927, 22887, 88, 529, 508, 3060, 13515, 311, 18750, 292, 1722, 18, 75, 1927, 6684, 204, 23, 19, 7252, 42033, 353, 2077, 6914, 204, 204, 3070, 273, 4946, 1273, 572, 874, 2745, 391, 10340, 302, 908, 6651, 292, 275, 570, 17, 1910, 302, 1475, 1120, 13668, 848, 904, 17, 329, 275, 1563, 572, 529, 1877, 322, 603, 18, 75, 1927, 22887, 88, 329, 6740, 14, 618, 636, 3060, 10205, 17, 2219, 397, 572, 618, 2964, 2616, 311, 11015, 7548, 329, 572, 3848, 874, 1910, 2637, 2744, 1824, 292, 275, 1722, 18, 75, 1927, 1085, 302, 275, 2192, 19, 204, 204, 777, 44, 4403, 8406, 777, 204, 204, 44, 4403, 22887, 322, 59, 362, 5183, 14, 289, 571, 20, 25, 3245, 289, 686, 3534, 204, 44, 4403, 22887, 322, 45556, 14, 289, 368, 20, 25, 3245, 289, 686, 1511, 204, 204, 673, 2061, 440, 275, 32654, 933, 1120, 5656, 1182, 22887, 19, 204, 204, 3609, 275, 4790, 302, 437, 8819, 6684, 17, 1330, 628, 362, 5183, 355, 2925, 675, 497, 501, 4403, 560, 1048, 71, 2429, 897, 299, 17, 566, 618, 508, 6061, 22887, 1330, 27463, 29261, 523, 275, 8819, 14101, 6684, 19, 0, 23438, 12789, 334, 17078, 791, 336, 884, 88, 4338, 9635, 19155, 17994, 3196, 17, 382, 6635, 5319, 273, 17555, 37407, 497, 28915, 392, 349, 291, 884, 88, 4410, 33914, 32056, 2016, 11297, 19054, 24596, 19, 204, 1834, 37407, 353, 24155, 560, 2388, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 497, 412, 1239, 80, 552, 17815, 329, 20225, 360, 31130, 387, 779, 84, 23163, 677, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 17, 273, 3506, 5914, 329, 40244, 10346, 1465, 275, 3307, 302, 11297, 448, 10571, 560, 30536, 290, 17, 275, 6695, 16657, 302, 871, 4115, 354, 17, 1415, 353, 7514, 497, 5741, 560, 11297, 19, 361, 14660, 472, 78, 27709, 27559, 11297, 19, 204, 13, 1449, 1012, 630, 275, 7830, 302, 808, 3196, 17, 4974, 3237, 6268, 204, 3837, 867, 275, 27456, 2617, 2617, 2617, 1415, 12894, 311, 10353, 11297, 19, 2266, 1250, 2080, 1193, 685, 1465, 11297, 7105, 329, 12894, 437, 4372, 1912, 17, 521, 3855, 1250, 1466, 10571, 1465, 3850, 560, 10143, 1257, 696, 402, 1877, 275, 26446, 270, 657, 302, 275, 26005, 17, 6786, 31756, 19, 7054, 1250, 1856, 874, 12894, 311, 10353, 11297, 353, 8106, 292, 24699, 440, 275, 3556, 4643, 302, 415, 29529, 329, 904, 426, 712, 2471, 19, 3433, 16356, 830, 31179, 3450, 329, 3836, 25117, 1257, 11090, 19, 204, 673, 12464, 17943, 17, 348, 18000, 10769, 17, 13503, 311, 1020, 11297, 329, 1922, 3850, 1048, 311, 415, 29529, 19, 334, 7417, 354, 344, 928, 572, 1631, 1895, 4238, 1475, 353, 496, 1250, 48798, 336, 11297, 19, 2416, 1922, 1048, 329, 311, 48798, 529, 275, 1729, 1142, 292, 12509, 31, 28472, 14836, 365, 78, 322, 50, 80, 7207, 709, 87, 32, 931, 31, 3268, 17, 9131, 709, 87, 32, 2905, 31, 7879, 709, 32, 2153, 31, 22, 709, 32, 39750, 5789, 31, 23, 32, 871, 83, 1433, 31, 1641, 32, 41214, 1168, 31, 8532, 789, 3065, 1466, 8405, 970, 48798, 1493, 31, 19725, 402, 48798, 336, 3850, 322, 38417, 3850, 1048, 14, 311, 275, 12464, 17943, 329, 1250, 292, 3638, 48798, 336, 3850, 322, 38417, 3850, 1048, 14, 311, 275, 27456, 322, 50, 80, 931, 31, 3268, 4154, 5091, 709, 87, 789, 2474, 867, 1675, 14996, 329, 4094, 73, 311, 5741, 560, 273, 8517, 11603, 19, 204, 673, 1901, 24003, 7936, 1465, 275, 9397, 5398, 17, 275, 1051, 7936, 1465, 928, 572, 618, 444, 23055, 4153, 329, 7301, 275, 1051, 7936, 496, 353, 12283, 42103, 17, 353, 496, 11297, 3756, 508, 22860, 10566, 19, 40729, 830, 275, 42861, 17, 1236, 7597, 1415, 32225, 3850, 521, 2075, 1250, 32225, 3850, 302, 17, 11297, 14893, 25156, 322, 50, 80, 2905, 31, 2682, 4154, 10128, 32, 2153, 31, 25, 4154, 26, 32, 39750, 5789, 31, 8867, 4154, 9162, 32, 5254, 31, 1258, 17, 2905, 32, 480, 80, 5773, 31, 30, 789, 828, 329, 1330, 566, 3756, 6293, 17, 490, 867, 1698, 292, 1552, 311, 444, 1950, 18, 4827, 972, 329, 292, 2620, 311, 36656, 311, 5190, 437, 2073, 31, 1622, 3837, 353, 872, 1415, 4627, 490, 1001, 322, 50, 80, 2153, 31, 23, 32, 39750, 5789, 31, 2562, 32, 5254, 31, 1641, 32, 480, 80, 5436, 31, 3894, 32, 5773, 31, 24, 14, 329, 1622, 3719, 382, 6721, 872, 17, 872, 1120, 508, 8732, 479, 329, 397, 382, 2717, 872, 17, 872, 1120, 508, 2073, 1001, 322, 49, 80, 5436, 31, 5645, 32, 3020, 1425, 1199, 31, 29, 32, 871, 83, 1916, 31, 1036, 4154, 3699, 789, 334, 22437, 17, 928, 867, 11352, 560, 275, 43705, 18967, 521, 1017, 6651, 292, 1552, 311, 5190, 2231, 311, 275, 3633, 1283, 11297, 329, 1704, 35227, 17, 1856, 508, 38575, 562, 1017, 3346, 14824, 4818, 302, 275, 10942, 31, 1622, 6031, 14266, 1236, 11802, 311, 1169, 302, 275, 14736, 1001, 322, 50, 89, 5254, 31, 2300, 789, 204, 673, 16688, 38610, 292, 27833, 21893, 14098, 31, 28, 867, 25156, 2518, 1704, 7417, 4162, 2317, 2090, 273, 28615, 2518, 1163, 19970, 375, 19, 1547, 2950, 444, 22617, 497, 808, 496, 275, 43705, 18967, 521, 1017, 6651, 25811, 275, 6733, 302, 11297, 884, 27702, 292, 1552, 311, 917, 685, 496, 11297, 867, 275, 16688, 38610, 19, 791, 12048, 25156, 2518, 1704, 7417, 4162, 353, 6488, 2075, 572, 4230, 7523, 11297, 311, 770, 19, 2474, 2080, 25853, 21970, 311, 6626, 9649, 497, 24021, 32, 566, 2080, 6202, 22617, 497, 13704, 32, 566, 2080, 21970, 311, 2073, 3888, 1465, 1704, 3346, 13704, 32, 329, 3303, 566, 21970, 311, 22860, 521, 26528, 1704, 6137, 19, 204, 837, 904, 2159, 17, 11297, 24866, 1422, 2900, 273, 1142, 17, 17140, 11243, 902, 311, 275, 683, 19, 334, 7180, 302, 275, 7597, 353, 496, 490, 867, 508, 11297, 1415, 867, 523, 9397, 19, 7953, 48798, 375, 329, 7417, 4162, 1466, 523, 9397, 2518, 3850, 19, 7953, 27702, 23665, 1153, 17, 43452, 17, 46423, 329, 13320, 1475, 19, 12412, 2159, 1466, 12098, 1818, 630, 1475, 329, 1250, 46988, 7105, 685, 302, 1017, 3346, 11484, 88, 19, 204, 4154, 28915, 392, 349, 291, 204, 47, 45005, 19054, 24596, 204, 47, 45005, 19054, 24596, 204, 24049, 31, 1200, 3919, 497, 275, 8025, 10346, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 19, 204, 60, 17671, 12971, 502, 43515, 31, 204, 837, 437, 7214, 311, 8402, 273, 1792, 5765, 39049, 2746, 2617, 2617, 2617, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 14589, 275, 302, 89, 18, 89, 929, 29368, 5765, 302, 11297, 322, 55, 14660, 472, 78, 27709, 14, 9328, 1704, 551, 19450, 66, 329, 47776, 17, 1924, 275, 2913, 6712, 5765, 302, 30536, 290, 17, 275, 6695, 17154, 1415, 353, 5741, 447, 5570, 3119, 2830, 9217, 17, 871, 4115, 354, 322, 39538, 552, 11784, 14, 30678, 11297, 12, 1340, 19, 1346, 7214, 869, 1742, 2927, 292, 275, 3467, 311, 3113, 275, 5765, 292, 275, 4188, 466, 274, 302, 3099, 17, 440, 2724, 16637, 292, 794, 32221, 27435, 5589, 17, 440, 5680, 521, 1236, 3714, 868, 33458, 3610, 440, 1901, 10641, 4892, 1154, 19, 14377, 2643, 6965, 311, 444, 5210, 302, 275, 10346, 17, 440, 275, 23138, 26274, 11057, 32154, 448, 15087, 448, 2237, 523, 275, 2641, 3651, 798, 17, 329, 1017, 22437, 5052, 292, 437, 7249, 329, 16863, 6060, 19, 204, 19, 2617, 2617, 3065, 677, 2617, 2617, 2617, 5256, 292, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 311, 1895, 490, 9631, 1214, 1335, 311, 1356, 685, 808, 29368, 19, 334, 23138, 26274, 1352, 17, 9504, 28895, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 448, 28263, 448, 275, 31188, 1784, 874, 872, 8732, 17, 353, 7572, 8084, 18812, 292, 275, 5348, 18, 5321, 18, 4995, 4812, 14760, 6330, 329, 16017, 299, 24969, 496, 21757, 1475, 497, 904, 23138, 26274, 22812, 19, 3433, 1741, 444, 14760, 3391, 719, 1422, 523, 275, 3645, 17, 1101, 275, 4812, 35882, 1475, 2090, 5348, 588, 21475, 292, 273, 5348, 18, 15883, 10346, 17, 754, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 869, 273, 2318, 2643, 302, 4812, 6438, 496, 9211, 273, 2482, 2501, 8206, 13492, 2077, 3205, 19, 334, 2092, 11709, 23373, 17, 448, 2590, 17, 529, 357, 11182, 1399, 311, 2909, 630, 17, 329, 529, 10290, 15250, 1017, 4785, 1890, 16491, 19, 4253, 6666, 17, 19733, 872, 7188, 2842, 30015, 302, 22052, 275, 1729, 29368, 10338, 2617, 2617, 2617, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 2842, 4230, 444, 275, 717, 29368, 1724, 496, 1065, 4451, 1214, 4316, 677, 3205, 808, 7751, 19, 204, 51, 8541, 31, 4253, 2935, 302, 2315, 298, 11581, 36, 204, 3070, 334, 17078, 791, 336, 884, 88, 9300, 19155, 17994, 3196, 322, 12143, 1546, 432, 3078, 15427, 497, 25531, 8705, 5721, 884, 88, 2016, 22412, 302, 4560, 31, 334, 5672, 274, 787, 2621, 311, 5936, 659, 3020, 31, 204, 47, 45005, 31, 2621, 18, 39, 351, 7144, 302, 48508, 29453, 204, 673, 35795, 5936, 204, 5842, 23016, 323, 44760, 912, 5393, 5102, 204, 5842, 8710, 92, 4717, 6712, 10209, 302, 29386, 204, 673, 9496, 412, 6919, 1399, 39079, 302, 791, 14118, 204, 1823, 298, 11581, 31, 42432, 23393, 17, 16934, 5509, 329, 5610, 34577, 334, 9046, 4385, 6402, 204, 673, 17003, 4432, 5936, 31, 35178, 17, 964, 419, 17, 28355, 17, 45332, 329, 313, 2581, 14949, 204, 3070, 334, 17078, 791, 336, 884, 88, 10599, 19155, 17994, 3196, 322, 12143, 1546, 275, 28136, 302, 28168, 565, 10387, 366, 619, 329, 275, 29155, 302, 6856, 21286, 565, 4563, 17, 12424, 329, 33259, 31098, 13153, 1885, 17, 6901, 27311, 323, 14258, 291, 17, 25531, 8705, 5721, 17, 15571, 4318, 71, 17, 3311, 26110, 650, 1644, 410, 17, 548, 530, 39122, 486, 18, 6031, 466, 16205, 329, 4694, 1862, 23644, 33575, 3762, 659, 3020, 31, 204, 673, 4694, 757, 302, 5936, 322, 8837, 368, 14, 2317, 11297, 9200, 375, 275, 8187, 204, 673, 4694, 757, 302, 5936, 322, 8837, 435, 14, 2317, 11297, 46159, 1405, 10932, 275, 23311, 1407, 20553, 204, 673, 4694, 757, 302, 5936, 322, 8837, 571, 14, 2317, 14431, 387, 5231, 204, 673, 4694, 757, 302, 5936, 322, 8837, 681, 14, 2317, 11297, 415, 20510, 2439, 389, 204, 673, 4694, 757, 302, 5936, 322, 8837, 720, 14, 2317, 11297, 19054, 275, 11988, 204, 673, 4694, 757, 302, 5936, 322, 8837, 887, 14, 2317, 11297, 19054, 275, 13716, 43689, 204, 673, 4694, 757, 302, 5936, 322, 8837, 1168, 14, 2317, 11297, 5389, 301, 311, 7953, 41463, 204, 673, 4694, 757, 302, 5936, 322, 8837, 1132, 14, 2317, 11297, 353, 8249, 2096, 275, 14258, 204, 673, 4694, 757, 302, 5936, 322, 8837, 1233, 14, 2317, 11297, 412, 543, 204, 673, 4694, 757, 302, 5936, 322, 8837, 931, 14, 2317, 11297, 20462, 275, 31969, 204, 673, 4694, 757, 302, 5936, 322, 8837, 2958, 14, 2317, 11297, 46551, 1840, 311, 12254, 204, 673, 4694, 757, 302, 5936, 322, 8837, 1598, 14, 2317, 11297, 46551, 1840, 311, 7953, 41371, 204, 16014, 1425, 275, 3090, 17078, 791, 336, 7215, 31, 204, 13084, 11297, 353, 5672, 4560, 204, 47, 45005, 29814, 273, 387, 2320, 94, 204, 673, 388, 45986, 501, 1678, 3159, 7, 302, 11297, 12, 12125, 281, 24797, 204, 47, 45005, 17, 26500, 329, 9554, 204, 47, 45005, 329, 21354, 27995, 15153, 204, 47, 45005, 329, 275, 5045, 298, 288, 322, 8837, 368, 14, 204, 47, 45005, 329, 275, 5045, 298, 288, 322, 8837, 435, 14, 204, 1252, 3624, 9212, 273, 36141, 7387, 94, 11297, 322, 416, 273, 412, 1286, 14213, 334, 6531, 14, 204, 5681, 7739, 27020, 353, 275, 11912, 302, 46612, 793, 2368, 204, 26053, 329, 31460, 38890, 0, 647, 2010, 448, 645, 204, 647, 1400, 448, 32556, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 4378, 19, 14535, 532, 15608, 9807, 204, 204, 8, 4861, 329, 2072, 204, 676, 18676, 7554, 31, 204, 264, 320, 22996, 3454, 329, 2072, 1279, 204, 264, 32071, 68, 4284, 38884, 289, 13777, 204, 264, 33636, 3285, 23604, 68, 20221, 289, 720, 226, 314, 724, 6092, 204, 264, 35396, 56, 20873, 4380, 68, 30100, 289, 368, 19, 47596, 802, 3861, 226, 314, 5437, 20, 88, 393, 724, 6092, 20, 7061, 87, 204, 264, 565, 10042, 1000, 3225, 68, 43057, 289, 322, 21, 19, 26, 802, 887, 14, 540, 681, 19, 35482, 2188, 1845, 2314, 540, 931, 930, 1598, 226, 314, 502, 68, 84, 204, 264, 8438, 68, 39, 10042, 1000, 68, 13660, 35943, 289, 887, 19, 3894, 2500, 6655, 27, 6913, 540, 931, 930, 1132, 226, 314, 502, 68, 84, 802, 724, 6092, 67, 24, 204, 264, 8438, 68, 41083, 289, 32011, 540, 35396, 56, 20873, 4380, 68, 30100, 226, 314, 724, 6092, 20, 7061, 87, 204, 264, 14317, 68, 41083, 289, 17372, 540, 35396, 56, 20873, 4380, 68, 30100, 226, 314, 724, 6092, 20, 7061, 87, 204, 204, 461, 949, 68, 6575, 13, 863, 328, 1652, 68, 6575, 31, 818, 17, 6096, 31, 818, 17, 3284, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 5199, 328, 1652, 3441, 10625, 523, 6096, 19, 204, 204, 264, 457, 31, 204, 268, 42756, 1652, 68, 6575, 322, 996, 330, 5199, 328, 1652, 3441, 204, 268, 6096, 322, 996, 330, 6096, 204, 268, 3284, 322, 996, 330, 3284, 204, 204, 264, 475, 31, 204, 268, 818, 31, 3392, 3441, 204, 264, 320, 204, 264, 314, 888, 275, 5199, 328, 1652, 3441, 204, 264, 407, 42756, 1652, 68, 6575, 540, 322, 28448, 25, 540, 645, 19, 1460, 540, 42756, 1652, 68, 6575, 930, 571, 540, 6096, 14, 802, 322, 24, 540, 3284, 602, 930, 3457, 21, 19, 25, 602, 338, 368, 14, 930, 500, 19, 26, 204, 204, 461, 1900, 68, 3474, 68, 9821, 13, 10890, 31, 18676, 7554, 14, 393, 1135, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 320, 204, 264, 2069, 1419, 4042, 348, 275, 552, 32911, 4946, 19, 204, 204, 264, 457, 31, 204, 268, 3454, 322, 22996, 7554, 330, 4946, 3454, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 1419, 4042, 322, 834, 17, 1502, 17, 3581, 14, 204, 264, 320, 204, 264, 1419, 68, 9821, 289, 463, 204, 268, 379, 834, 597, 7541, 204, 268, 379, 1932, 597, 7541, 204, 268, 379, 7182, 597, 1306, 204, 264, 1211, 204, 204, 264, 314, 2069, 1419, 4042, 204, 264, 348, 906, 292, 933, 13, 10890, 19, 24263, 68, 4284, 38884, 330, 204, 268, 314, 2069, 1400, 6096, 329, 949, 3441, 204, 268, 6096, 289, 32556, 19, 2017, 374, 540, 3454, 19, 5605, 68, 39, 10042, 1000, 68, 13660, 35943, 204, 268, 3441, 289, 949, 68, 6575, 13, 10890, 19, 9667, 3285, 23604, 68, 20221, 17, 6096, 17, 3454, 19, 39, 10042, 1000, 3225, 68, 43057, 14, 204, 204, 268, 314, 2069, 1400, 9955, 2992, 204, 268, 8097, 289, 645, 19, 13202, 2809, 13, 33070, 19, 8745, 2422, 22, 17, 368, 602, 204, 268, 14482, 289, 32556, 19, 8745, 13, 21, 17, 435, 540, 645, 19, 1460, 14, 204, 204, 268, 314, 2069, 1400, 3581, 6922, 329, 9955, 2992, 204, 268, 3581, 68, 16778, 289, 443, 204, 268, 1335, 3581, 68, 16778, 353, 443, 31, 204, 305, 1934, 68, 7182, 289, 32556, 19, 8745, 13, 10890, 19, 6930, 68, 41083, 17, 3454, 19, 5605, 68, 41083, 14, 204, 305, 1934, 68, 3374, 289, 32556, 19, 8745, 13, 21, 17, 645, 19, 4041, 13, 1258, 540, 3454, 19, 6930, 68, 41083, 540, 3457, 22, 3694, 204, 305, 3581, 68, 3374, 289, 645, 19, 4041, 13, 1258, 540, 1934, 68, 7182, 540, 3457, 22, 602, 204, 305, 397, 3581, 68, 3374, 1323, 1934, 68, 3374, 31, 204, 485, 3581, 68, 16778, 289, 1934, 68, 7182, 204, 268, 3581, 68, 3907, 289, 645, 19, 13202, 2809, 13, 33070, 19, 8745, 2422, 22, 17, 368, 602, 204, 268, 3581, 68, 7430, 289, 32556, 19, 8745, 13, 21, 17, 435, 540, 645, 19, 1460, 14, 204, 204, 268, 314, 888, 20689, 2992, 204, 268, 1502, 289, 551, 204, 305, 3441, 540, 645, 19, 2883, 13, 3907, 14, 540, 645, 19, 2809, 13, 7430, 659, 204, 305, 3441, 540, 645, 19, 2883, 13, 3907, 14, 540, 645, 19, 2883, 13, 7430, 659, 204, 305, 3441, 540, 645, 19, 2809, 13, 3907, 14, 204, 268, 2437, 204, 268, 3581, 289, 551, 204, 305, 3581, 68, 16778, 540, 645, 19, 2883, 13, 7182, 68, 3907, 14, 540, 645, 19, 2809, 13, 7182, 68, 7430, 659, 204, 305, 3581, 68, 16778, 540, 645, 19, 2883, 13, 7182, 68, 3907, 14, 540, 645, 19, 2883, 13, 7182, 68, 7430, 659, 204, 305, 3581, 68, 16778, 540, 645, 19, 2809, 13, 7182, 68, 3907, 14, 204, 268, 2437, 204, 204, 268, 314, 5230, 311, 1419, 4042, 204, 268, 1419, 68, 9821, 736, 834, 3750, 1223, 13, 33070, 19, 8745, 13, 13971, 17, 1598, 1207, 602, 204, 268, 1419, 68, 9821, 736, 1932, 3750, 1223, 13, 1932, 14, 204, 268, 1419, 68, 9821, 736, 7182, 3750, 1223, 13, 7182, 14, 204, 204, 264, 407, 1419, 68, 9821, 204, 204, 461, 2106, 68, 3474, 68, 9821, 13, 3474, 68, 9821, 31, 1135, 17, 2049, 31, 394, 289, 388, 45, 32911, 18, 3474, 18, 9821, 19, 3039, 431, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 1419, 4042, 311, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 9821, 322, 873, 330, 1419, 4042, 322, 834, 17, 1502, 17, 3581, 14, 204, 268, 2049, 322, 325, 17, 1448, 330, 2049, 19, 1243, 311, 388, 45, 32911, 18, 3474, 18, 9821, 19, 3039, 2948, 204, 264, 320, 204, 264, 440, 1451, 13, 2029, 17, 388, 92, 431, 448, 283, 31, 204, 268, 283, 19, 2206, 499, 3474, 68, 834, 610, 18, 1932, 469, 18, 1932, 1264, 18, 1932, 610, 18, 7182, 469, 18, 7182, 1264, 18, 7182, 3581, 68, 16778, 65, 83, 431, 204, 268, 348, 296, 292, 933, 13, 1796, 13, 3474, 68, 9821, 736, 834, 2378, 330, 204, 305, 283, 19, 2206, 13, 75, 1954, 3474, 68, 9821, 736, 834, 6970, 78, 7916, 463, 3474, 68, 9821, 736, 1932, 6970, 78, 1799, 21, 7916, 463, 3474, 68, 9821, 736, 1932, 6970, 78, 1799, 22, 7916, 463, 3474, 68, 9821, 736, 1932, 6970, 78, 1799, 23, 7916, 388, 204, 895, 283, 1954, 3474, 68, 9821, 736, 7182, 6970, 78, 1799, 21, 7916, 463, 3474, 68, 9821, 736, 7182, 6970, 78, 1799, 22, 7916, 463, 3474, 68, 9821, 736, 7182, 6970, 78, 1799, 23, 7916, 463, 1123, 19, 11450, 19, 5915, 13, 3474, 68, 9821, 736, 7182, 6970, 78, 694, 2277, 83, 431, 204, 204, 461, 1807, 68, 3474, 68, 9821, 13, 3474, 68, 9821, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 1419, 4042, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 9821, 322, 873, 330, 1419, 4042, 322, 834, 17, 1502, 17, 3581, 14, 204, 264, 320, 204, 264, 314, 3045, 3272, 302, 1419, 16646, 204, 264, 16646, 289, 551, 1123, 19, 11450, 19, 5915, 13, 91, 14, 348, 376, 292, 1419, 68, 9821, 736, 7182, 11653, 204, 264, 1513, 19, 3657, 13, 28900, 17, 11466, 34, 2188, 14, 204, 264, 1513, 19, 7246, 611, 6238, 3581, 6922, 551, 80, 6092, 20, 7061, 87, 23842, 204, 264, 1513, 19, 7127, 611, 7366, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3045, 20689, 2992, 204, 264, 4738, 289, 1419, 68, 9821, 736, 1932, 839, 204, 264, 610, 17, 469, 17, 1264, 289, 4337, 4934, 5864, 14, 204, 264, 1513, 19, 7208, 374, 204, 264, 1711, 289, 1513, 19, 14196, 13, 14362, 17, 11115, 833, 24, 73, 534, 204, 264, 1711, 19, 10129, 13, 93, 17, 469, 17, 1264, 14, 204, 264, 1711, 19, 574, 68, 7246, 611, 93, 18, 3399, 551, 80, 6092, 23842, 204, 264, 1711, 19, 574, 68, 7127, 611, 94, 18, 3399, 551, 80, 6092, 23842, 204, 264, 1711, 19, 574, 68, 95, 1676, 611, 95, 18, 3399, 551, 80, 6092, 23842, 204, 264, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1513, 19, 2896, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3454, 289, 18676, 7554, 374, 204, 264, 1419, 68, 9821, 289, 1900, 68, 3474, 68, 9821, 13, 10890, 14, 204, 264, 2106, 68, 3474, 68, 9821, 13, 3474, 68, 9821, 14, 204, 264, 1807, 68, 3474, 68, 9821, 13, 3474, 68, 9821, 14, 204, 0, 531, 5567, 19, 5554, 19, 4608, 19, 1424, 532, 4596, 204, 531, 2048, 19, 8381, 19, 772, 68, 2225, 532, 44902, 204, 204, 676, 6994, 5725, 6188, 13, 3295, 6188, 330, 204, 264, 320, 204, 264, 2646, 275, 1813, 722, 1472, 19, 204, 204, 264, 1058, 850, 3629, 2986, 311, 6767, 275, 1472, 329, 1356, 275, 2963, 1068, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 12580, 348, 275, 1696, 2963, 204, 264, 472, 4755, 9967, 68, 15562, 68, 33656, 289, 322, 3609, 19, 10801, 17, 18032, 2947, 7771, 932, 833, 2947, 32408, 204, 204, 264, 436, 6767, 68, 2225, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11885, 496, 275, 1472, 353, 3271, 560, 9101, 348, 275, 9920, 302, 275, 1696, 2963, 19, 204, 204, 268, 1632, 31, 204, 305, 15689, 31, 828, 275, 1696, 2963, 353, 508, 1193, 523, 275, 1472, 19, 204, 268, 320, 204, 268, 314, 6407, 275, 1472, 560, 9101, 348, 275, 9920, 302, 275, 1696, 2963, 204, 268, 370, 19, 271, 68, 11813, 68, 2225, 13, 327, 19, 12634, 9967, 68, 15562, 68, 33656, 14, 204, 204, 264, 436, 636, 68, 2947, 68, 492, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 4071, 275, 1068, 302, 275, 1696, 2963, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 1068, 302, 275, 1696, 2963, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1068, 302, 275, 1696, 2963, 204, 268, 407, 370, 19, 505, 68, 492, 13, 327, 19, 12634, 9967, 68, 15562, 68, 33656, 14, 204, 204, 264, 436, 1356, 68, 2947, 68, 492, 13, 327, 17, 1812, 68, 492, 31, 394, 17, 4710, 68, 4054, 31, 1109, 289, 1078, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 275, 2963, 1068, 4083, 275, 1812, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 1812, 68, 492, 322, 325, 330, 334, 1812, 1068, 311, 444, 3113, 292, 275, 2963, 19, 204, 305, 4710, 68, 4054, 322, 2107, 330, 2266, 311, 1356, 348, 437, 4710, 2216, 19, 1243, 311, 1078, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 1812, 1068, 353, 1193, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2963, 1068, 204, 268, 2963, 68, 492, 289, 370, 19, 505, 68, 2947, 68, 492, 374, 204, 822, 268, 314, 778, 397, 275, 1812, 1068, 353, 1193, 292, 275, 2963, 1068, 204, 268, 397, 4710, 68, 4054, 31, 204, 305, 314, 778, 348, 437, 4710, 2216, 204, 305, 407, 2963, 68, 492, 564, 1812, 68, 492, 204, 268, 902, 31, 204, 305, 314, 778, 348, 273, 7380, 2216, 204, 305, 407, 1812, 68, 492, 292, 2963, 68, 492, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 1014, 302, 275, 6994, 5725, 6188, 850, 204, 264, 1813, 68, 1300, 68, 2225, 289, 6994, 5725, 6188, 374, 204, 615, 264, 314, 6407, 275, 1472, 204, 264, 1813, 68, 1300, 68, 2225, 19, 11174, 68, 2225, 374, 204, 615, 264, 314, 763, 275, 2963, 1068, 204, 264, 2963, 68, 492, 289, 1813, 68, 1300, 68, 2225, 19, 505, 68, 2947, 68, 492, 374, 204, 264, 456, 13, 75, 7, 6059, 1068, 31, 463, 2947, 68, 492, 743, 204, 615, 264, 314, 778, 397, 275, 2963, 1068, 4083, 275, 1812, 1068, 204, 264, 1812, 68, 492, 289, 388, 19670, 7, 204, 264, 353, 68, 4054, 289, 1813, 68, 1300, 68, 2225, 19, 2555, 68, 2947, 68, 492, 13, 5477, 68, 492, 14, 204, 264, 456, 13, 75, 7, 4947, 3318, 5477, 68, 492, 2867, 1193, 292, 275, 2963, 1068, 36, 463, 360, 68, 4054, 743, 204, 615, 264, 314, 778, 348, 437, 4710, 2216, 204, 264, 353, 68, 22966, 68, 4054, 289, 1813, 68, 1300, 68, 2225, 19, 2555, 68, 2947, 68, 492, 13, 5477, 68, 492, 17, 4710, 68, 4054, 34, 1021, 14, 204, 264, 456, 13, 75, 7, 4947, 275, 2963, 1068, 6488, 3318, 5477, 68, 492, 2867, 36, 463, 360, 68, 22966, 68, 4054, 743, 204, 0, 531, 4433, 532, 3017, 17, 824, 17, 4123, 17, 13732, 204, 647, 12348, 204, 647, 11055, 204, 531, 21393, 532, 33899, 204, 531, 1804, 532, 1804, 204, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 676, 6319, 4441, 31, 204, 264, 320, 204, 264, 5133, 3777, 5247, 329, 3587, 19, 204, 204, 264, 1532, 31, 204, 268, 43700, 68, 24907, 322, 655, 330, 334, 1945, 2357, 348, 273, 3777, 19, 204, 268, 650, 11437, 1889, 68, 24907, 322, 655, 330, 334, 1448, 2357, 348, 273, 3777, 19, 204, 268, 20229, 68, 24907, 322, 655, 330, 334, 2357, 496, 529, 6929, 292, 275, 3777, 424, 19, 204, 264, 320, 204, 204, 264, 43700, 68, 24907, 289, 2470, 13888, 491, 379, 2288, 68, 359, 491, 379, 6324, 18, 3350, 491, 379, 1454, 491, 379, 417, 491, 379, 2302, 839, 204, 264, 650, 11437, 1889, 68, 24907, 289, 2470, 805, 839, 204, 264, 20229, 68, 24907, 289, 2470, 2288, 68, 359, 491, 379, 417, 491, 379, 1454, 839, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3777, 68, 654, 31, 1135, 17, 740, 68, 1087, 31, 1135, 330, 204, 268, 320, 204, 268, 1865, 275, 6319, 4441, 19, 204, 204, 268, 457, 31, 204, 305, 3777, 68, 654, 322, 873, 330, 334, 3777, 798, 424, 19, 204, 305, 740, 68, 1087, 322, 873, 330, 334, 1650, 1586, 19, 204, 268, 320, 204, 268, 370, 19, 6324, 68, 654, 289, 3777, 68, 654, 204, 268, 370, 19, 748, 68, 1087, 289, 740, 68, 1087, 204, 268, 370, 19, 481, 289, 2087, 204, 204, 264, 436, 3893, 68, 3261, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 11149, 275, 3777, 798, 3583, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 3583, 529, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 830, 1945, 2357, 529, 3113, 204, 268, 397, 508, 830, 13, 644, 292, 370, 19, 6324, 68, 654, 348, 896, 292, 370, 19, 38939, 68, 24907, 330, 204, 305, 740, 19, 3342, 19, 9041, 499, 14344, 1945, 2357, 431, 204, 305, 407, 1078, 204, 204, 268, 314, 778, 397, 830, 2357, 529, 4260, 1945, 521, 1448, 204, 268, 4675, 68, 3261, 289, 370, 19, 38939, 68, 24907, 465, 370, 19, 44128, 1889, 68, 24907, 204, 268, 397, 508, 830, 13, 644, 292, 4675, 68, 3261, 348, 896, 292, 370, 19, 6324, 68, 654, 330, 204, 305, 740, 19, 3342, 19, 9041, 499, 29465, 2357, 431, 204, 305, 407, 1078, 204, 204, 268, 314, 778, 397, 275, 4245, 1274, 4083, 275, 1586, 204, 268, 397, 388, 3350, 805, 7, 292, 370, 19, 748, 68, 1087, 329, 370, 19, 6324, 68, 654, 1166, 6324, 18, 3350, 1339, 2167, 370, 19, 748, 68, 1087, 1166, 3350, 805, 8682, 204, 305, 740, 19, 3342, 19, 9041, 13, 75, 7, 16536, 1274, 3318, 327, 19, 6324, 68, 654, 736, 6324, 18, 3350, 839, 2867, 5409, 2964, 2216, 1586, 3318, 327, 19, 748, 68, 1087, 736, 3350, 805, 839, 15049, 204, 305, 407, 1078, 204, 204, 268, 407, 959, 204, 204, 264, 436, 1900, 68, 6324, 68, 359, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 273, 2220, 1222, 348, 275, 3777, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 3777, 1222, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 16387, 18, 6372, 3678, 302, 275, 3777, 424, 204, 268, 3678, 289, 12348, 19, 11481, 6372, 374, 204, 268, 348, 896, 292, 370, 19, 6355, 68, 24907, 465, 2470, 672, 5441, 204, 305, 3678, 19, 2045, 13, 325, 13, 327, 19, 481, 64, 644, 12670, 4170, 611, 3102, 18, 29, 3063, 204, 268, 407, 3678, 19, 18927, 374, 204, 204, 264, 436, 1900, 68, 44668, 10034, 68, 4074, 13, 327, 17, 1692, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 273, 6890, 91, 10034, 3678, 348, 275, 3777, 2799, 19, 204, 204, 268, 457, 31, 204, 305, 1692, 322, 325, 330, 334, 3777, 2799, 677, 1692, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 6890, 91, 10034, 3678, 19, 204, 268, 320, 204, 268, 314, 2069, 437, 12281, 26, 3678, 302, 275, 1692, 1995, 204, 268, 3678, 289, 12348, 19, 7648, 26, 374, 204, 268, 3678, 19, 2045, 13, 2302, 19, 2892, 1528, 3006, 1528, 4170, 611, 3102, 18, 29, 3063, 204, 268, 407, 3678, 19, 18927, 374, 204, 204, 264, 436, 636, 68, 13888, 68, 805, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 4123, 1274, 497, 275, 3777, 798, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 4123, 1274, 19, 204, 268, 320, 204, 268, 407, 370, 19, 6324, 68, 654, 19, 505, 611, 13888, 534, 204, 204, 264, 436, 758, 68, 6324, 68, 481, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 275, 3777, 424, 19, 204, 268, 320, 204, 268, 314, 1359, 275, 1945, 2357, 204, 268, 348, 896, 292, 370, 19, 6355, 68, 24907, 31, 204, 305, 370, 19, 481, 64, 644, 66, 289, 370, 19, 6324, 68, 654, 64, 644, 66, 204, 204, 268, 314, 1359, 275, 1448, 2357, 397, 3113, 204, 268, 348, 896, 292, 370, 19, 44128, 1889, 68, 24907, 31, 204, 305, 397, 370, 19, 6324, 68, 654, 19, 505, 13, 644, 330, 204, 485, 370, 19, 481, 64, 644, 66, 289, 370, 19, 6324, 68, 654, 64, 644, 66, 204, 204, 268, 314, 1359, 275, 1489, 329, 1222, 204, 268, 370, 19, 481, 736, 672, 839, 289, 1804, 19, 1520, 374, 204, 268, 370, 19, 481, 736, 359, 839, 289, 370, 19, 4776, 68, 6324, 68, 359, 374, 204, 268, 370, 19, 481, 736, 44668, 10034, 839, 289, 370, 19, 4776, 68, 44668, 10034, 68, 4074, 13, 327, 19, 6324, 68, 654, 736, 2302, 2378, 204, 204, 264, 436, 838, 68, 8750, 68, 17907, 68, 1443, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 273, 13447, 9561, 824, 348, 275, 3777, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 977, 275, 13447, 1893, 204, 305, 357, 289, 33899, 13, 327, 19, 748, 68, 1087, 1166, 2119, 3808, 204, 305, 12945, 289, 357, 19, 505, 68, 9519, 13, 327, 19, 748, 68, 1087, 1166, 9519, 3808, 204, 204, 305, 314, 763, 275, 7659, 329, 5791, 204, 305, 7286, 289, 370, 19, 6324, 68, 654, 736, 2288, 68, 359, 839, 204, 305, 588, 289, 370, 19, 6324, 68, 654, 736, 417, 839, 204, 305, 3777, 68, 359, 289, 370, 19, 481, 736, 359, 839, 204, 305, 7659, 68, 417, 289, 283, 7, 6324, 14238, 6324, 68, 359, 2495, 204, 305, 43938, 289, 12945, 19, 505, 68, 11320, 13, 327, 19, 748, 68, 1087, 736, 660, 11320, 2378, 204, 204, 305, 314, 666, 273, 717, 7659, 204, 305, 12945, 19, 1510, 68, 9502, 68, 3484, 13, 3484, 833, 29587, 20, 14057, 9248, 465, 7659, 68, 417, 17, 15266, 34, 31198, 19, 4827, 19, 11481, 14, 204, 204, 305, 314, 666, 273, 717, 5791, 204, 305, 5791, 476, 289, 33899, 19, 3383, 25987, 8861, 13, 417, 17, 370, 19, 6324, 68, 654, 736, 2302, 2378, 204, 305, 510, 68, 417, 289, 283, 7, 68, 481, 20, 9483, 4235, 8420, 8246, 6324, 68, 359, 3572, 20755, 7, 204, 305, 1724, 289, 283, 7, 13324, 463, 6324, 68, 359, 98, 497, 463, 417, 98, 311, 463, 8420, 2495, 204, 305, 12945, 19, 1510, 68, 553, 13, 553, 68, 417, 17, 1724, 17, 11055, 19, 4573, 13, 327, 19, 481, 659, 7659, 68, 417, 17, 5791, 476, 14, 204, 204, 305, 314, 666, 273, 717, 9561, 824, 204, 305, 12945, 19, 1510, 68, 17907, 13, 1778, 34, 1778, 17, 2484, 22278, 1526, 34, 11320, 68, 417, 17, 1034, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 204, 264, 320, 204, 264, 314, 6408, 204, 264, 424, 68, 2100, 289, 468, 7, 40, 8563, 10669, 65, 12880, 30264, 8013, 65, 22449, 65, 11700, 27742, 65, 7691, 5587, 2985, 22, 65, 70, 25, 65, 481, 7, 204, 264, 13479, 68, 34782, 68, 2100, 289, 468, 7, 40, 8563, 25836, 7, 204, 264, 29565, 68, 3810, 289, 468, 7, 40, 8563, 10669, 65, 12880, 30264, 8013, 65, 36219, 7, 204, 204, 264, 407, 463, 204, 268, 388, 481, 68, 2100, 559, 424, 68, 2100, 17, 204, 268, 388, 14135, 68, 34782, 68, 2100, 559, 13479, 68, 34782, 68, 2100, 17, 204, 268, 388, 37166, 68, 3810, 559, 29565, 68, 3810, 204, 264, 1211, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 6153, 7887, 204, 264, 7887, 289, 5327, 68, 9895, 374, 204, 204, 264, 314, 16515, 31500, 204, 264, 13479, 68, 14616, 68, 546, 289, 5157, 13, 9895, 1166, 37166, 68, 3810, 2869, 379, 14135, 18, 24, 19, 21, 19, 22, 18, 3539, 18, 77, 35884, 23, 19, 28, 19, 89, 14199, 534, 204, 264, 15522, 68, 14616, 13, 14135, 68, 14616, 68, 546, 17, 7887, 1166, 14135, 68, 34782, 68, 2100, 3808, 204, 204, 264, 314, 11857, 68, 14616, 68, 546, 289, 5157, 13, 9895, 1166, 481, 68, 2100, 2869, 379, 14793, 19, 89, 14199, 534, 204, 264, 314, 15522, 68, 14616, 13, 14793, 68, 14616, 68, 546, 17, 7887, 1166, 481, 68, 2100, 3808, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 461, 1151, 68, 44245, 68, 8346, 13, 2029, 31, 394, 14, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 4143, 437, 4086, 7154, 2548, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 2049, 322, 325, 330, 334, 588, 302, 275, 510, 1174, 275, 4086, 7154, 2548, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 339, 744, 334, 4086, 7154, 2548, 448, 273, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 275, 510, 292, 1151, 2291, 204, 268, 440, 1451, 13, 2029, 17, 379, 87, 534, 448, 510, 31, 204, 305, 314, 1606, 275, 510, 1666, 17, 3404, 490, 560, 12937, 17, 329, 1814, 848, 700, 311, 1534, 204, 305, 2548, 289, 551, 339, 13, 83, 14, 348, 300, 292, 510, 19, 976, 1528, 1590, 25488, 204, 268, 407, 2548, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 2597, 463, 2029, 98, 508, 1193, 1280, 204, 268, 407, 1306, 204, 204, 461, 1523, 68, 44245, 68, 2004, 68, 26308, 68, 416, 68, 18209, 13, 8346, 31, 783, 64, 339, 648, 16971, 31, 421, 17, 14060, 31, 421, 14, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 8209, 437, 4086, 7154, 2548, 440, 275, 800, 16971, 329, 14060, 19, 204, 204, 264, 457, 31, 204, 264, 2548, 322, 1218, 64, 339, 1037, 334, 4086, 7154, 2548, 19, 204, 264, 16971, 322, 339, 330, 334, 16971, 700, 19, 204, 264, 14060, 322, 339, 330, 334, 14060, 700, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 339, 744, 334, 722, 302, 4436, 275, 4086, 7154, 2548, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4028, 302, 275, 2548, 311, 4516, 11227, 275, 2171, 204, 264, 5846, 68, 8346, 289, 2548, 16280, 204, 264, 314, 1716, 275, 16971, 329, 14060, 1019, 292, 275, 5846, 2548, 204, 264, 5846, 68, 8346, 64, 22, 66, 289, 16971, 204, 264, 5846, 68, 8346, 64, 23, 66, 289, 14060, 204, 264, 314, 2466, 275, 5846, 2548, 322, 24018, 1523, 17155, 353, 4310, 13762, 14, 204, 264, 497, 4086, 7154, 532, 1523, 17155, 204, 264, 407, 1523, 17155, 13, 12171, 68, 8346, 14, 204, 204, 461, 949, 68, 1300, 13, 26308, 31, 421, 17, 14060, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 722, 1609, 523, 275, 16971, 329, 14060, 19, 204, 204, 264, 457, 31, 204, 264, 16971, 322, 339, 330, 334, 16971, 700, 19, 204, 264, 14060, 322, 339, 330, 334, 14060, 700, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 3392, 722, 19, 204, 264, 320, 204, 264, 314, 888, 275, 722, 974, 275, 800, 2089, 204, 264, 407, 1607, 540, 16971, 465, 14060, 204, 204, 461, 1020, 68, 2170, 68, 1300, 13, 8346, 31, 783, 64, 339, 648, 1029, 68, 1300, 31, 421, 14, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 6746, 275, 16971, 329, 14060, 1019, 496, 6626, 275, 1029, 722, 19, 204, 204, 264, 457, 31, 204, 264, 2548, 322, 1218, 64, 339, 1037, 334, 4086, 7154, 2548, 19, 204, 264, 1029, 68, 1300, 322, 339, 330, 334, 1029, 722, 19, 204, 204, 264, 475, 31, 204, 264, 927, 64, 339, 17, 421, 744, 334, 16971, 329, 14060, 1019, 496, 6626, 275, 1029, 722, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 2237, 16971, 329, 14060, 1019, 204, 264, 348, 16971, 292, 933, 13, 2051, 330, 204, 268, 348, 14060, 292, 933, 13, 2051, 330, 204, 305, 314, 2466, 275, 2548, 440, 275, 790, 16971, 329, 14060, 1019, 204, 305, 722, 68, 8346, 289, 1523, 68, 44245, 68, 2004, 68, 26308, 68, 416, 68, 18209, 13, 8346, 17, 16971, 17, 14060, 14, 204, 305, 314, 778, 397, 275, 722, 4083, 275, 1029, 722, 204, 305, 397, 722, 68, 8346, 64, 21, 66, 564, 1029, 68, 1300, 31, 204, 485, 407, 16971, 17, 14060, 204, 264, 314, 455, 443, 397, 1236, 7535, 16971, 329, 14060, 1019, 529, 1193, 204, 264, 407, 443, 204, 204, 461, 667, 1293, 204, 264, 2049, 289, 379, 15585, 23, 3383, 19, 3039, 12, 204, 264, 1029, 68, 1300, 289, 27083, 3276, 28260, 204, 204, 264, 2548, 289, 1151, 68, 44245, 68, 8346, 13, 2029, 14, 204, 264, 397, 2548, 31, 204, 268, 314, 1752, 275, 16971, 329, 14060, 1019, 496, 6626, 275, 1029, 722, 204, 268, 722, 289, 1020, 68, 2170, 68, 1300, 13, 8346, 17, 1029, 68, 1300, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14, 204, 268, 397, 722, 31, 204, 305, 16971, 17, 14060, 289, 722, 204, 305, 314, 888, 329, 456, 275, 2423, 722, 204, 305, 2423, 68, 1300, 289, 949, 68, 1300, 13, 26308, 17, 14060, 14, 204, 305, 456, 13, 75, 7, 3882, 350, 31, 463, 26308, 1522, 4244, 71, 31, 463, 18209, 1522, 10622, 9541, 31, 463, 7912, 68, 1300, 743, 204, 268, 902, 31, 204, 305, 456, 499, 3882, 7535, 16971, 329, 14060, 1019, 1193, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 777, 1046, 301, 31, 13770, 17, 7806, 17, 329, 11010, 777, 204, 204, 38, 13708, 353, 273, 2327, 18, 11464, 726, 440, 273, 10244, 1034, 329, 1051, 22946, 1653, 496, 3256, 1372, 311, 273, 14321, 630, 275, 1913, 19, 14377, 18, 6715, 6016, 302, 35675, 2255, 9036, 20750, 35675, 329, 10935, 35675, 19, 204, 204, 777, 17695, 1320, 777, 204, 204, 5681, 4636, 440, 35675, 17, 1422, 529, 2327, 3287, 10624, 31, 204, 204, 22, 19, 930, 28119, 322, 87, 12541, 275, 1759, 497, 275, 3466, 302, 275, 9951, 1034, 311, 275, 3428, 302, 275, 1034, 19, 204, 23, 19, 930, 18388, 322, 77, 12541, 275, 1853, 302, 275, 13708, 19, 204, 24, 19, 930, 10746, 302, 275, 1653, 497, 14321, 311, 1034, 322, 88, 12541, 275, 1759, 497, 275, 14321, 302, 275, 13708, 311, 275, 3428, 302, 275, 1034, 19, 204, 204, 777, 8939, 7806, 777, 204, 204, 673, 3776, 1864, 302, 273, 13708, 869, 970, 3576, 31, 275, 1034, 329, 275, 22946, 1653, 19, 334, 9994, 529, 31, 204, 204, 15, 930, 8939, 7806, 302, 275, 3301, 1416, 23315, 3231, 204, 15, 930, 8939, 7806, 302, 275, 6393, 1462, 22169, 1416, 5780, 9367, 204, 15, 930, 6425, 15415, 7806, 1416, 23315, 3231, 465, 5780, 9367, 204, 204, 3719, 275, 1277, 302, 275, 1653, 497, 14321, 311, 1034, 322, 88, 14, 353, 508, 800, 17, 490, 618, 444, 3392, 974, 275, 2089, 31, 297, 289, 7408, 87, 3231, 465, 373, 3231, 14, 204, 204, 673, 4151, 3776, 1864, 2089, 348, 273, 13708, 353, 31, 204, 204, 8939, 7806, 289, 23315, 3231, 465, 23315, 540, 7408, 87, 3231, 465, 373, 3231, 14, 204, 204, 777, 5063, 5248, 777, 204, 204, 6431, 275, 3776, 1864, 302, 273, 13708, 440, 273, 3441, 302, 571, 6887, 329, 273, 1853, 302, 931, 6887, 19, 204, 204, 8939, 7806, 289, 5780, 540, 571, 3231, 465, 5780, 540, 571, 540, 7408, 24, 3231, 465, 931, 3231, 14, 204, 34, 571, 19, 2300, 540, 1233, 465, 571, 19, 2300, 540, 571, 540, 7408, 30, 465, 1607, 14, 204, 34, 571, 19, 2300, 540, 1233, 465, 571, 19, 2300, 540, 571, 540, 3849, 27763, 204, 34, 571, 19, 2300, 540, 1233, 465, 571, 19, 2300, 540, 571, 540, 931, 19, 4832, 204, 34, 4662, 19, 4635, 465, 15804, 19, 4049, 204, 34, 25174, 19, 10128, 6887, 8030, 204, 204, 777, 14562, 777, 204, 204, 673, 3351, 302, 273, 13708, 353, 508, 14511, 292, 808, 1068, 17, 1101, 490, 1120, 444, 9811, 292, 273, 5094, 9542, 19, 0, 647, 1127, 204, 647, 1437, 204, 531, 1437, 532, 2839, 204, 647, 3238, 204, 531, 6934, 19, 10535, 532, 9954, 68, 7206, 17, 5500, 68, 15281, 68, 531, 68, 14980, 204, 531, 6934, 19, 10173, 10040, 532, 20418, 204, 647, 23589, 448, 15533, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 8, 1359, 23589, 6060, 204, 42651, 19, 574, 374, 204, 204, 461, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 393, 3238, 19, 5750, 31, 204, 264, 320, 204, 264, 2735, 1354, 18, 1054, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 3238, 19, 5750, 31, 11123, 1906, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 7791, 11402, 18, 9339, 12859, 10040, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 20279, 26, 68, 553, 491, 1187, 34, 325, 17, 1340, 833, 4203, 311, 15294, 26, 510, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 9488, 491, 1187, 34, 325, 17, 1540, 34, 3170, 17, 1340, 833, 4203, 311, 778, 1096, 3746, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 7064, 491, 1187, 34, 339, 17, 1540, 34, 2051, 17, 1340, 833, 4290, 302, 6175, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 21042, 68, 5029, 491, 1187, 34, 339, 17, 1540, 34, 2169, 17, 1340, 833, 29037, 3506, 2689, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 7350, 491, 1187, 34, 996, 17, 1540, 34, 21, 19, 7585, 17, 1340, 833, 16329, 2233, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 3374, 68, 11560, 491, 1187, 34, 996, 17, 1540, 34, 22, 74, 18, 26, 17, 1340, 833, 15947, 10321, 311, 4209, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 2884, 68, 835, 491, 1187, 34, 339, 17, 1540, 34, 6372, 17, 1340, 833, 9731, 1302, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 920, 68, 4588, 491, 1187, 34, 339, 17, 1540, 34, 22, 17, 1340, 833, 4290, 302, 6505, 292, 424, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 17875, 68, 2230, 491, 1187, 34, 339, 17, 1540, 34, 6372, 17, 1340, 833, 20898, 319, 5117, 1302, 534, 204, 204, 264, 407, 1732, 19, 1703, 68, 1038, 374, 204, 204, 461, 838, 68, 1420, 68, 19227, 374, 393, 443, 31, 204, 264, 320, 204, 264, 666, 919, 19035, 397, 1250, 770, 508, 1337, 19, 204, 264, 320, 204, 264, 919, 68, 1217, 289, 14652, 1420, 11291, 204, 264, 2388, 68, 1217, 289, 1127, 19, 546, 19, 1541, 13, 1420, 68, 1217, 17, 388, 2936, 20815, 204, 204, 264, 314, 666, 919, 1445, 397, 490, 1583, 508, 1337, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 1420, 68, 1217, 330, 204, 268, 1127, 19, 13986, 13, 1420, 68, 1217, 14, 204, 204, 264, 314, 666, 2388, 1445, 397, 490, 1583, 508, 1337, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 2936, 68, 1217, 330, 204, 268, 1127, 19, 13986, 13, 2936, 68, 1217, 14, 204, 204, 461, 1137, 68, 809, 68, 531, 68, 9488, 13, 9488, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 546, 31, 394, 17, 570, 31, 2839, 19, 3732, 14, 393, 2839, 19, 3732, 31, 204, 264, 320, 204, 264, 1385, 570, 497, 7974, 19, 204, 204, 264, 457, 31, 204, 268, 7974, 68, 546, 322, 325, 330, 2621, 311, 7974, 510, 19, 204, 268, 570, 322, 2606, 19, 3732, 330, 3746, 311, 1137, 19, 204, 204, 264, 475, 31, 204, 268, 2839, 19, 3732, 31, 9387, 570, 19, 204, 264, 320, 204, 264, 397, 7974, 68, 546, 353, 508, 443, 329, 1127, 19, 546, 19, 4332, 13, 9488, 68, 546, 330, 204, 268, 570, 19, 986, 68, 1512, 68, 873, 13, 3109, 19, 986, 13, 9488, 68, 546, 602, 204, 264, 407, 570, 204, 204, 461, 951, 68, 31537, 13, 204, 264, 570, 31, 2839, 19, 3732, 17, 716, 264, 951, 68, 3670, 31, 1437, 19, 2918, 19, 481, 19, 10535, 17, 716, 264, 9616, 31, 2839, 19, 3732, 17, 716, 264, 4209, 31, 1437, 19, 4647, 19, 11664, 17, 716, 264, 771, 68, 7064, 31, 421, 17, 716, 264, 4744, 68, 5029, 68, 3485, 31, 421, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 20418, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 3746, 311, 951, 19, 204, 268, 951, 68, 3670, 322, 3109, 19, 2918, 19, 481, 19, 10535, 330, 7502, 424, 6707, 19, 204, 268, 9616, 322, 2606, 19, 3732, 330, 11205, 9616, 19, 204, 268, 4209, 322, 3109, 19, 4647, 19, 11664, 330, 26076, 19, 204, 268, 771, 68, 7064, 322, 339, 330, 3239, 302, 6175, 19, 204, 268, 4744, 68, 5029, 68, 3485, 322, 339, 330, 15438, 3506, 2689, 19, 204, 264, 320, 204, 264, 314, 977, 3330, 311, 1640, 1737, 2210, 329, 4744, 3506, 1040, 204, 264, 951, 68, 2650, 289, 1306, 204, 264, 4744, 68, 5029, 68, 765, 289, 500, 204, 204, 264, 314, 2672, 570, 348, 1713, 542, 302, 6175, 204, 264, 348, 3741, 292, 933, 13, 920, 68, 7064, 330, 204, 268, 314, 977, 2210, 348, 790, 3741, 204, 268, 2210, 68, 1219, 289, 500, 204, 204, 268, 314, 1861, 1048, 15327, 18, 14352, 292, 1737, 6707, 204, 268, 348, 6849, 17, 36062, 68, 292, 3209, 13, 1219, 68, 3670, 330, 204, 305, 314, 1986, 3754, 2304, 497, 15327, 18, 2884, 204, 305, 6915, 3179, 289, 36062, 68, 204, 305, 3840, 289, 1437, 19, 4173, 13, 3912, 789, 16876, 13, 22, 14, 204, 305, 3840, 289, 3840, 19, 633, 611, 6938, 31, 22, 534, 204, 204, 305, 314, 9711, 1879, 204, 305, 919, 289, 570, 13, 3371, 14, 204, 305, 2210, 289, 9616, 13, 1420, 17, 3840, 14, 204, 204, 305, 314, 24210, 1879, 204, 305, 4209, 19, 5306, 68, 6164, 374, 204, 305, 2210, 19, 12242, 374, 204, 305, 4209, 19, 2290, 374, 204, 204, 305, 314, 39139, 3432, 2210, 348, 790, 3741, 204, 305, 2210, 68, 1219, 1412, 2210, 204, 204, 268, 314, 2175, 2210, 348, 790, 3741, 204, 268, 456, 13, 75, 12, 15934, 10081, 4220, 465, 368, 8246, 920, 68, 7064, 38224, 11205, 31, 463, 2650, 68, 1219, 19, 1271, 374, 802, 6849, 4567, 25, 75, 3501, 204, 204, 268, 314, 5230, 2210, 348, 790, 3741, 311, 458, 204, 268, 951, 68, 2650, 19, 1223, 13, 2650, 68, 1219, 19, 1271, 374, 802, 6849, 14, 204, 204, 268, 314, 3025, 570, 329, 1807, 752, 2589, 931, 6175, 204, 268, 397, 3741, 1564, 931, 564, 500, 31, 204, 305, 314, 1986, 1043, 752, 497, 919, 204, 305, 20416, 289, 919, 19, 6995, 1528, 481, 64, 21, 1799, 21, 66, 204, 305, 3597, 68, 9892, 289, 3840, 19, 6995, 1528, 481, 64, 21, 1799, 21, 66, 204, 305, 20416, 64, 4855, 68, 9892, 564, 368, 66, 289, 368, 204, 204, 305, 314, 666, 19831, 302, 19840, 752, 204, 305, 1513, 19, 7208, 13, 11390, 3644, 29, 17, 1132, 602, 204, 305, 15533, 19, 25363, 13, 9892, 17, 279, 3520, 34, 1975, 14, 204, 305, 1513, 19, 12273, 13, 75, 47335, 1420, 20, 2936, 20, 935, 1859, 4220, 3572, 4955, 534, 204, 305, 1513, 19, 3529, 374, 204, 204, 305, 314, 3025, 570, 7974, 204, 305, 1437, 19, 2360, 13, 809, 19, 1512, 68, 873, 2144, 283, 38389, 1420, 20, 15578, 68, 7206, 1859, 4220, 3572, 2957, 431, 204, 204, 268, 314, 778, 348, 4744, 16663, 204, 268, 397, 1245, 13, 1219, 68, 2650, 14, 1323, 435, 329, 951, 68, 2650, 3327, 22, 66, 564, 1006, 13, 1219, 68, 2650, 330, 204, 305, 314, 3025, 2765, 570, 204, 305, 1437, 19, 2360, 13, 809, 19, 1512, 68, 873, 2144, 14652, 1420, 20, 15578, 68, 7206, 68, 6222, 19, 2957, 431, 204, 305, 4744, 68, 5029, 68, 765, 289, 500, 204, 268, 902, 31, 204, 305, 4744, 68, 5029, 68, 765, 1412, 368, 204, 204, 268, 314, 9829, 1737, 397, 4744, 3506, 2689, 353, 7486, 204, 268, 397, 4744, 68, 5029, 68, 765, 1323, 4744, 68, 5029, 68, 3485, 31, 204, 305, 2280, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 2735, 1354, 18, 1054, 1906, 204, 264, 2042, 289, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 204, 204, 264, 314, 666, 919, 19035, 204, 264, 838, 68, 1420, 68, 19227, 374, 204, 204, 264, 314, 977, 20418, 570, 204, 264, 570, 289, 20418, 13, 1038, 19, 920, 68, 4588, 17, 2042, 19, 17875, 68, 2230, 789, 633, 611, 6938, 31, 22, 534, 204, 204, 264, 314, 1385, 570, 497, 7974, 397, 1713, 204, 264, 570, 289, 1137, 68, 809, 68, 531, 68, 9488, 13, 1038, 19, 9488, 17, 570, 14, 204, 204, 264, 314, 968, 2210, 9616, 329, 4209, 204, 264, 9616, 289, 2839, 19, 37650, 374, 204, 264, 4209, 289, 1437, 19, 4647, 19, 12967, 13, 809, 19, 3465, 2144, 10264, 34, 1038, 19, 7350, 17, 2308, 68, 11560, 34, 1038, 19, 3374, 68, 11560, 14, 204, 204, 264, 314, 666, 1737, 424, 6707, 204, 264, 951, 68, 3670, 289, 5500, 68, 15281, 68, 531, 68, 14980, 13, 1038, 19, 20279, 26, 68, 553, 17, 2042, 19, 2884, 68, 835, 14, 204, 204, 264, 314, 2672, 20418, 570, 204, 264, 951, 68, 31537, 13, 809, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17, 951, 68, 3670, 17, 9616, 17, 4209, 17, 2042, 19, 7064, 17, 2042, 19, 21042, 68, 5029, 14, 204, 204, 264, 456, 499, 10173, 10040, 867, 6020, 2104, 5397, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 1361, 204, 647, 2164, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 8, 968, 273, 2082, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 8, 968, 273, 3324, 348, 275, 13834, 1484, 204, 3668, 12087, 3225, 22701, 68, 23785, 289, 463, 204, 264, 388, 835, 559, 500, 17, 204, 264, 388, 616, 405, 559, 463, 204, 268, 388, 2207, 559, 463, 204, 305, 388, 9301, 559, 463, 204, 485, 388, 1993, 559, 388, 46817, 4697, 1701, 528, 204, 485, 388, 835, 559, 1199, 204, 305, 4752, 204, 305, 388, 616, 405, 559, 463, 204, 485, 388, 2207, 559, 463, 204, 895, 388, 9301, 559, 463, 204, 2058, 388, 1993, 559, 388, 9123, 2191, 7, 204, 895, 4752, 204, 895, 388, 616, 405, 559, 463, 204, 2058, 388, 2207, 68, 11224, 559, 463, 204, 4511, 388, 2723, 68, 19502, 559, 463, 204, 8835, 388, 835, 559, 368, 17, 204, 8835, 388, 2975, 559, 551, 204, 14302, 463, 204, 20179, 388, 5192, 559, 463, 204, 27006, 388, 1115, 559, 388, 8968, 7, 204, 20179, 1211, 204, 14302, 1211, 204, 8835, 2437, 204, 4511, 1211, 204, 2058, 1211, 204, 895, 1211, 204, 485, 1211, 204, 305, 1211, 204, 268, 1211, 204, 264, 1211, 204, 98, 204, 204, 8, 968, 273, 3324, 348, 275, 13834, 1274, 204, 3668, 12087, 3225, 22701, 68, 3778, 289, 379, 1942, 1963, 1803, 18, 5707, 83, 2939, 825, 32356, 81, 345, 82, 18, 86, 5331, 4229, 16358, 27, 86, 13388, 95, 26, 2265, 913, 95, 23735, 27, 22178, 28, 91, 25, 19, 354, 18, 14301, 18, 22, 19, 301, 19, 36366, 19, 1453, 20, 1836, 82, 45404, 1803, 12, 204, 204, 676, 4534, 31, 204, 264, 320, 5272, 273, 944, 292, 275, 1561, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2322, 68, 932, 31, 394, 17, 588, 31, 394, 17, 1848, 31, 394, 17, 610, 31, 818, 17, 469, 31, 818, 330, 204, 268, 320, 204, 268, 1865, 273, 4534, 726, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2322, 68, 932, 322, 325, 330, 334, 1187, 302, 2322, 19, 204, 268, 338, 588, 322, 325, 330, 334, 588, 302, 275, 944, 19, 204, 268, 338, 1848, 322, 325, 330, 334, 1848, 302, 275, 944, 19, 204, 268, 338, 610, 322, 996, 330, 334, 610, 18, 3936, 302, 275, 944, 19, 204, 268, 338, 469, 322, 996, 330, 334, 469, 18, 3936, 302, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 3075, 68, 932, 289, 2322, 68, 932, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 2640, 289, 1848, 204, 268, 370, 19, 93, 289, 610, 204, 268, 370, 19, 94, 289, 469, 204, 204, 676, 565, 434, 31, 204, 264, 320, 5272, 273, 17286, 292, 275, 1561, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 610, 31, 818, 17, 469, 31, 818, 17, 2731, 31, 783, 64, 339, 648, 2322, 68, 932, 31, 394, 17, 1848, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 273, 565, 434, 726, 19, 204, 204, 268, 457, 31, 204, 268, 338, 588, 322, 325, 330, 334, 588, 302, 275, 17286, 19, 204, 268, 338, 610, 322, 996, 330, 334, 610, 18, 3936, 302, 275, 17286, 19, 204, 268, 338, 469, 322, 996, 330, 334, 469, 18, 3936, 302, 275, 17286, 19, 204, 268, 338, 2731, 322, 1218, 64, 339, 1037, 332, 458, 302, 944, 4192, 19, 204, 268, 338, 2322, 68, 932, 322, 325, 330, 334, 1187, 302, 2322, 19, 204, 268, 338, 1848, 322, 325, 330, 334, 1848, 302, 275, 17286, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 93, 289, 610, 204, 268, 370, 19, 94, 289, 469, 204, 268, 370, 19, 3076, 289, 2731, 204, 268, 370, 19, 3075, 68, 932, 289, 2322, 68, 932, 204, 268, 370, 19, 2640, 289, 1848, 204, 204, 676, 565, 434, 5619, 31, 204, 264, 320, 37657, 2986, 348, 17322, 440, 17286, 88, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 1879, 204, 204, 264, 436, 636, 68, 71, 36166, 13, 327, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 4071, 273, 458, 302, 17286, 88, 497, 13834, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 1174, 273, 458, 302, 2731, 329, 273, 458, 302, 17286, 88, 19, 204, 268, 320, 204, 268, 2082, 19, 1270, 611, 21822, 1780, 17286, 88, 497, 13834, 534, 204, 268, 810, 31, 204, 305, 958, 289, 2164, 19, 2288, 13, 3668, 12087, 3225, 22701, 68, 3778, 17, 1875, 34, 3668, 12087, 3225, 22701, 68, 23785, 14, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 268, 827, 2164, 19, 6866, 448, 318, 31, 204, 305, 2082, 19, 718, 13, 75, 7, 596, 4461, 824, 311, 13834, 31, 463, 74, 743, 204, 305, 407, 2087, 204, 204, 268, 1563, 289, 370, 19, 1616, 68, 1935, 13, 1935, 19, 1775, 1447, 204, 268, 407, 1563, 204, 204, 264, 436, 1352, 68, 1935, 13, 327, 17, 958, 31, 1061, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 9506, 275, 13834, 958, 329, 2584, 275, 1563, 19, 204, 204, 268, 457, 31, 204, 268, 338, 958, 322, 1665, 330, 334, 13834, 958, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 1174, 273, 458, 302, 2731, 329, 273, 458, 302, 17286, 88, 19, 204, 268, 320, 204, 268, 1563, 289, 2552, 3076, 597, 7541, 379, 1241, 3029, 597, 29819, 204, 268, 1842, 289, 1306, 204, 268, 17286, 88, 289, 1306, 204, 268, 944, 68, 765, 289, 500, 204, 268, 348, 6382, 292, 958, 736, 13944, 657, 4976, 2207, 4976, 23381, 5441, 204, 305, 1627, 68, 93, 289, 500, 204, 305, 1627, 68, 94, 289, 500, 204, 305, 17286, 68, 359, 289, 1607, 204, 305, 944, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1915, 289, 1306, 204, 305, 6978, 289, 5607, 204, 305, 7599, 68, 2640, 289, 5607, 204, 305, 348, 1103, 292, 6382, 736, 2207, 4976, 23381, 5441, 204, 485, 6134, 289, 1103, 736, 2207, 68, 11224, 4976, 19502, 4976, 19502, 6970, 21, 6690, 68, 3112, 839, 204, 485, 1848, 289, 370, 19, 505, 68, 2640, 13, 6600, 736, 1835, 2043, 6134, 736, 11497, 2378, 204, 485, 944, 289, 4534, 13, 6600, 736, 9123, 2191, 2043, 6134, 736, 9123, 2191, 839, 42231, 15311, 325, 13, 6600, 736, 46817, 4697, 1701, 11028, 1848, 17, 6134, 736, 93, 2043, 6134, 736, 94, 2378, 204, 485, 1842, 19, 1223, 13, 1241, 3925, 873, 4422, 204, 485, 1627, 68, 93, 1412, 6134, 736, 93, 839, 204, 485, 1627, 68, 94, 1412, 6134, 736, 94, 839, 204, 485, 17286, 68, 359, 289, 6134, 736, 46817, 4697, 1701, 839, 204, 485, 944, 68, 1915, 19, 1223, 13, 1241, 68, 765, 14, 204, 485, 944, 68, 765, 1412, 368, 204, 485, 6978, 289, 6134, 736, 11497, 839, 204, 305, 17286, 289, 565, 434, 611, 39, 434, 15311, 325, 13, 46817, 68, 359, 659, 1627, 68, 93, 802, 435, 17, 1627, 68, 94, 802, 435, 17, 944, 68, 1915, 17, 6978, 17, 7599, 68, 2640, 14, 204, 305, 17286, 88, 19, 1223, 13, 46817, 3925, 873, 4422, 204, 204, 268, 1563, 736, 3076, 839, 289, 1842, 204, 268, 1563, 736, 1241, 3029, 839, 289, 17286, 88, 204, 268, 407, 1563, 204, 204, 264, 436, 636, 68, 2640, 13, 327, 17, 1714, 31, 394, 17, 6978, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 1848, 1609, 523, 275, 1714, 329, 6978, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1714, 322, 325, 330, 334, 1714, 302, 275, 944, 19, 204, 268, 338, 6978, 322, 325, 330, 334, 6978, 302, 275, 944, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 1848, 302, 275, 944, 19, 204, 268, 320, 204, 268, 397, 1714, 564, 379, 4056, 12, 329, 6978, 564, 379, 6735, 597, 204, 305, 407, 379, 6267, 12, 204, 268, 1677, 1714, 564, 379, 4056, 12, 329, 6978, 564, 379, 22013, 597, 204, 305, 407, 379, 44331, 12, 204, 268, 1677, 1714, 564, 379, 9041, 597, 204, 305, 407, 379, 17903, 12, 204, 268, 902, 31, 204, 305, 407, 379, 747, 12, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 17286, 68, 3823, 289, 565, 434, 5619, 374, 204, 264, 1563, 289, 17286, 68, 3823, 19, 505, 68, 71, 36166, 374, 204, 264, 456, 13, 2826, 14, 204, 0, 315, 204, 3732, 348, 23173, 275, 45766, 12594, 1964, 292, 275, 34735, 4712, 19, 204, 315, 204, 204, 531, 13072, 19, 26395, 19, 12249, 532, 4080, 204, 204, 461, 4080, 68, 5010, 68, 5719, 13, 204, 264, 1964, 68, 359, 31, 394, 17, 716, 264, 2901, 68, 1096, 31, 394, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6676, 273, 2363, 1964, 292, 275, 34735, 4712, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1964, 68, 359, 322, 325, 330, 334, 2220, 4634, 348, 275, 1964, 19, 204, 264, 338, 2901, 68, 1096, 322, 325, 330, 334, 2901, 917, 348, 275, 1964, 19, 204, 204, 264, 1632, 31, 204, 264, 338, 1319, 31, 828, 437, 908, 3459, 1882, 6718, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6676, 275, 2363, 1964, 204, 268, 4080, 13, 204, 305, 1276, 34, 5719, 68, 359, 17, 204, 305, 2901, 68, 1096, 34, 4320, 68, 1096, 17, 204, 268, 1179, 204, 268, 456, 13, 75, 7, 25147, 9882, 1964, 31, 463, 5719, 68, 359, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 1882, 6718, 204, 268, 456, 13, 75, 7, 596, 23173, 1964, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 6676, 275, 45766, 12594, 1964, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1964, 1222, 329, 2901, 917, 204, 264, 1964, 68, 359, 289, 379, 41444, 12594, 18, 91, 21, 12, 204, 264, 2901, 68, 1096, 289, 379, 20850, 68, 41444, 12594, 19, 26395, 31, 56, 23867, 12594, 12611, 12, 204, 204, 264, 314, 6676, 275, 45766, 12594, 1964, 204, 264, 4080, 68, 5010, 68, 5719, 13, 5719, 68, 359, 17, 2901, 68, 1096, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 40, 7930, 302, 275, 346, 14907, 31513, 204, 40, 7930, 302, 275, 346, 14907, 31513, 204, 673, 5127, 329, 3253, 302, 275, 8508, 354, 31513, 867, 273, 5024, 1283, 22076, 329, 22817, 280, 1015, 928, 18204, 3332, 275, 3226, 302, 25302, 329, 275, 19155, 6759, 302, 36105, 19, 334, 8187, 302, 25302, 8923, 273, 19155, 13107, 311, 275, 10927, 13709, 19, 334, 11052, 302, 275, 19155, 42982, 335, 366, 272, 292, 25302, 33116, 756, 275, 19208, 302, 40804, 923, 93, 288, 329, 275, 27716, 302, 5936, 677, 36417, 19, 46799, 21801, 1015, 7870, 275, 14531, 29874, 2927, 23969, 39564, 1580, 311, 275, 19155, 3226, 302, 25302, 329, 275, 11575, 19, 10303, 275, 3226, 302, 25302, 867, 8923, 560, 275, 22473, 638, 624, 275, 10927, 39564, 1015, 2080, 1742, 19923, 7399, 15690, 311, 6321, 275, 19155, 3226, 19, 592, 931, 4452, 25302, 867, 4768, 560, 275, 13687, 6464, 17, 1415, 6900, 497, 275, 23523, 302, 10033, 15081, 1257, 19, 18133, 22076, 1466, 3284, 638, 747, 329, 275, 4017, 22076, 1466, 12331, 754, 37441, 496, 7870, 5936, 409, 509, 1880, 1466, 33510, 747, 311, 9421, 292, 8508, 354, 31513, 19, 4171, 5107, 40511, 5293, 273, 14108, 302, 1418, 796, 344, 7870, 6017, 329, 2444, 934, 7175, 275, 18108, 311, 31564, 275, 19155, 15044, 497, 275, 24619, 302, 275, 388, 3643, 23739, 3343, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 18133, 10927, 46799, 21801, 1015, 3284, 638, 747, 292, 25302, 204, 32790, 275, 4744, 22076, 490, 867, 6183, 273, 284, 1750, 329, 3223, 3087, 1750, 1249, 311, 44590, 273, 14193, 311, 1429, 23969, 2481, 19, 471, 48382, 867, 490, 6183, 496, 273, 39564, 550, 311, 275, 3623, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 496, 2080, 1742, 8492, 73, 560, 275, 5301, 302, 275, 387, 26068, 580, 302, 275, 2688, 17, 311, 275, 19155, 8187, 496, 2080, 35875, 1704, 26805, 20875, 7827, 17, 867, 273, 38329, 447, 284, 1750, 48347, 17, 329, 1051, 928, 33470, 348, 275, 39564, 82, 275, 4338, 6972, 329, 44318, 302, 45162, 19, 334, 22473, 638, 278, 2074, 579, 11090, 17, 348, 275, 3420, 15056, 329, 1182, 496, 1250, 8923, 30267, 302, 36105, 17, 47008, 5971, 437, 769, 3676, 7175, 4643, 8206, 275, 39564, 1015, 17, 2219, 26753, 39564, 1580, 448, 273, 2139, 302, 12918, 19, 3846, 292, 275, 15552, 41133, 6129, 275, 10431, 79, 8349, 1516, 13687, 6464, 17, 273, 21253, 313, 514, 290, 27459, 329, 27633, 42714, 18701, 302, 22246, 17, 306, 5243, 336, 497, 275, 2074, 579, 11090, 7510, 830, 1017, 3242, 78, 1979, 48343, 19, 334, 22076, 1466, 508, 2482, 292, 2318, 4616, 496, 2347, 2080, 26564, 1025, 717, 8650, 19, 18133, 10927, 46799, 21801, 1015, 1466, 4811, 439, 336, 329, 841, 277, 3533, 336, 292, 2589, 2501, 19, 334, 25763, 292, 25302, 1466, 16356, 521, 12098, 1025, 406, 6692, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 45880, 852, 2925, 380, 204, 3719, 490, 1466, 273, 3223, 3087, 1750, 7936, 311, 1895, 273, 39564, 550, 311, 275, 19155, 42982, 335, 366, 272, 17, 3171, 1182, 1784, 490, 444, 273, 284, 1750, 1249, 311, 31564, 275, 23969, 9940, 497, 275, 5005, 291, 344, 302, 2296, 591, 3391, 19, 1058, 867, 275, 47816, 496, 7716, 275, 39564, 82, 1025, 273, 35117, 17, 808, 867, 275, 10424, 496, 348, 970, 15056, 329, 1182, 33510, 747, 275, 10927, 2688, 311, 1163, 426, 973, 350, 4418, 24616, 17, 329, 9935, 275, 3390, 302, 6017, 292, 5054, 1877, 5054, 6982, 14109, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 334, 7401, 6149, 311, 47923, 204, 14884, 808, 10641, 13896, 867, 275, 9758, 3253, 302, 275, 346, 14907, 31513, 17, 3848, 1422, 867, 3161, 378, 36351, 3253, 928, 1631, 508, 444, 42103, 19, 1058, 867, 275, 3022, 3275, 17, 19776, 4067, 354, 10985, 302, 275, 3503, 312, 13078, 22554, 302, 6017, 17, 1415, 2080, 508, 448, 7301, 685, 76, 6314, 1017, 4184, 71, 10401, 38651, 88, 19, 334, 1553, 42314, 13781, 1500, 329, 317, 5413, 17, 2842, 3303, 40244, 560, 275, 18348, 10985, 302, 556, 4089, 569, 17, 1466, 3060, 7829, 311, 769, 655, 292, 437, 48347, 754, 30769, 440, 1017, 26805, 464, 16542, 329, 1017, 717, 9539, 88, 302, 13781, 21442, 1645, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 334, 2680, 6492, 302, 16367, 275, 8880, 2392, 204, 673, 16171, 3253, 302, 275, 6867, 346, 14907, 4949, 867, 275, 678, 6492, 302, 16367, 275, 8880, 2392, 17, 273, 11525, 302, 35094, 619, 94, 17, 292, 12014, 19, 26080, 1742, 37835, 560, 29026, 33940, 8392, 19, 311, 678, 714, 273, 8508, 354, 4949, 17, 275, 8880, 2392, 48040, 830, 18461, 329, 12014, 17, 24654, 22098, 17, 292, 275, 11575, 17, 292, 275, 11428, 17, 329, 292, 275, 1451, 1242, 17, 275, 17254, 3436, 496, 283, 24041, 1465, 3850, 17, 5751, 830, 28064, 440, 20697, 23317, 521, 32329, 1475, 440, 1418, 796, 344, 17, 448, 566, 11025, 2197, 275, 9010, 880, 302, 1017, 1890, 427, 1268, 630, 275, 8650, 302, 275, 2296, 591, 3391, 17, 521, 7157, 73, 275, 5005, 291, 344, 302, 275, 27191, 6759, 17, 7911, 11584, 560, 275, 9920, 329, 4811, 27687, 302, 275, 794, 14118, 705, 1387, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 334, 45413, 302, 275, 13687, 6464, 204, 6617, 23626, 16367, 275, 8880, 2392, 2080, 1742, 40511, 6298, 275, 43628, 302, 275, 6939, 17, 275, 13687, 6464, 2080, 1742, 4461, 3324, 25821, 292, 275, 8934, 17, 329, 1466, 3303, 35658, 17570, 266, 1661, 5398, 19, 334, 12509, 35904, 322, 33509, 5717, 2303, 83, 278, 354, 14, 2312, 32389, 6072, 311, 275, 29026, 17, 15024, 348, 13887, 4238, 275, 2296, 591, 3391, 17, 2457, 496, 17, 14275, 16987, 867, 11586, 11084, 17, 275, 7695, 440, 830, 1163, 27191, 304, 729, 88, 1631, 9759, 5573, 1025, 275, 8650, 302, 275, 4184, 71, 26026, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 29026, 33940, 8392, 2343, 275, 13631, 302, 346, 1375, 27513, 204, 16710, 396, 33940, 8392, 3250, 273, 4382, 26005, 302, 275, 11052, 630, 27298, 1325, 1257, 17, 292, 18461, 17, 311, 2506, 275, 24334, 322, 1003, 4957, 659, 1101, 9430, 867, 2620, 336, 19, 25926, 292, 275, 1729, 1324, 273, 717, 26005, 867, 17266, 336, 630, 346, 1375, 27513, 17, 292, 12014, 17, 29026, 33940, 2893, 538, 7901, 43191, 275, 2481, 302, 9328, 4751, 275, 8862, 1934, 14725, 329, 26805, 464, 17417, 88, 19, 29026, 33940, 8392, 10566, 867, 1051, 302, 275, 15599, 24446, 19, 2474, 867, 16428, 48990, 411, 319, 17, 754, 496, 275, 1064, 17, 275, 3253, 17, 329, 275, 18144, 830, 1681, 10433, 311, 7940, 1051, 302, 275, 8595, 1659, 1411, 11090, 302, 3651, 521, 5376, 19, 29026, 33940, 8392, 7157, 73, 275, 2888, 19189, 329, 6976, 868, 302, 275, 27240, 302, 14109, 32, 275, 5005, 291, 344, 302, 275, 6759, 2927, 23969, 560, 275, 9920, 329, 6789, 4593, 302, 275, 22412, 302, 5608, 19, 29026, 33940, 8392, 1675, 10660, 275, 38398, 88, 302, 275, 13687, 6464, 17, 3119, 3303, 17, 440, 830, 14109, 39984, 292, 1017, 30267, 17, 1250, 1466, 35658, 6017, 497, 275, 48608, 302, 275, 8717, 793, 634, 89, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 388, 3837, 353, 275, 1120, 302, 5608, 7, 204, 7, 5681, 11297, 5936, 1066, 39159, 872, 311, 1704, 35171, 5167, 6926, 351, 11977, 275, 48990, 411, 319, 284, 2797, 7583, 17, 388, 1592, 1236, 1034, 42964, 355, 797, 872, 292, 1214, 13182, 32, 1415, 1826, 1120, 38930, 1704, 4554, 17, 521, 1704, 9217, 17, 521, 1704, 8453, 17, 521, 1704, 14310, 17, 521, 1704, 2804, 17, 521, 1704, 29119, 17, 348, 275, 31904, 302, 2745, 588, 17, 10634, 444, 304, 1668, 20914, 273, 7584, 18, 7951, 17, 329, 22818, 3307, 35139, 3343, 8278, 275, 42844, 302, 275, 15596, 15995, 25941, 1924, 2589, 3022, 4274, 19, 5424, 1051, 10802, 1250, 279, 7141, 17, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 388, 45453, 90, 604, 36192, 6, 21059, 90, 604, 36192, 9851, 5268, 388, 3837, 353, 275, 1120, 302, 5608, 6, 1547, 353, 275, 1120, 302, 5608, 9851, 2767, 36211, 11084, 3580, 4272, 275, 4393, 311, 1017, 12992, 1320, 448, 273, 284, 4939, 302, 1017, 23969, 23746, 311, 1307, 18795, 311, 275, 31564, 302, 275, 19155, 42982, 335, 366, 272, 19, 334, 11543, 21843, 2344, 302, 9907, 302, 275, 2631, 1324, 322, 1003, 5007, 14, 867, 758, 348, 275, 17350, 302, 275, 29717, 338, 275, 346, 14907, 31513, 2080, 24543, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 204, 17132, 4446, 302, 808, 14531, 29874, 5885, 8426, 830, 7993, 329, 3629, 9764, 10942, 329, 1483, 1465, 1605, 4382, 1880, 329, 3780, 292, 560, 42180, 47360, 2666, 2864, 346, 7930, 302, 275, 346, 14907, 31513, 2617, 334, 16676, 1608, 3629, 3101, 3695, 302, 830, 302, 275, 1483, 329, 10942, 1917, 1465, 275, 24823, 3397, 302, 275, 14531, 29874, 6, 0, 647, 1127, 204, 204, 461, 15549, 68, 2375, 68, 266, 68, 2100, 13, 2100, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 36297, 1860, 292, 275, 1713, 1445, 560, 7057, 275, 1673, 1085, 302, 275, 510, 588, 2518, 275, 5674, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 1860, 311, 444, 27959, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 1713, 1445, 1583, 508, 1337, 19, 204, 268, 24838, 31, 828, 7312, 353, 18698, 348, 275, 1713, 1445, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1861, 1048, 848, 510, 292, 275, 1445, 204, 268, 348, 510, 68, 417, 292, 1127, 19, 8970, 13, 2100, 330, 204, 305, 314, 763, 275, 510, 832, 329, 5674, 204, 305, 510, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 2100, 17, 510, 68, 417, 14, 204, 305, 397, 1127, 19, 546, 19, 13226, 13, 553, 68, 546, 330, 226, 314, 778, 397, 490, 677, 273, 510, 204, 485, 314, 3736, 275, 510, 588, 1025, 3576, 329, 3142, 275, 1673, 1085, 2518, 275, 5674, 204, 485, 510, 68, 417, 68, 6719, 289, 510, 68, 417, 19, 1590, 22361, 431, 9128, 22, 66, 204, 485, 510, 68, 8637, 289, 1127, 19, 546, 19, 17752, 13, 553, 68, 417, 5604, 22, 66, 226, 314, 763, 275, 510, 5674, 204, 485, 314, 9828, 275, 4017, 3576, 1818, 1025, 273, 782, 329, 6283, 275, 510, 5674, 204, 485, 717, 68, 553, 68, 417, 289, 12895, 2948, 1541, 13, 553, 68, 417, 68, 6719, 14, 465, 510, 68, 8637, 204, 485, 314, 12596, 275, 510, 204, 485, 717, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 2100, 17, 717, 68, 553, 68, 417, 14, 204, 485, 1127, 19, 14925, 13, 553, 68, 546, 17, 717, 68, 553, 68, 546, 14, 204, 485, 314, 456, 13, 75, 7, 32662, 73, 463, 553, 68, 417, 98, 311, 463, 1957, 68, 553, 68, 417, 743, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 13788, 463, 2100, 98, 508, 1193, 1280, 204, 264, 827, 24838, 31, 204, 268, 456, 13, 75, 7, 18474, 18698, 348, 1445, 463, 2100, 12443, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 4490, 275, 510, 30811, 1352, 292, 3536, 7887, 19, 204, 264, 320, 204, 264, 314, 968, 275, 7887, 311, 1352, 204, 264, 7887, 68, 633, 68, 1616, 289, 551, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 6418, 39, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 4721, 39, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 6418, 40, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 4721, 40, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 6418, 40, 22, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 4721, 40, 22, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 6418, 40, 23, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 4721, 40, 23, 7, 204, 264, 2437, 204, 615, 264, 314, 3325, 848, 1445, 204, 264, 348, 1445, 292, 7887, 68, 633, 68, 1616, 31, 204, 268, 15549, 68, 2375, 68, 266, 68, 2100, 13, 2100, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 12378, 3747, 382, 22849, 273, 9328, 292, 11343, 17, 10676, 19, 7954, 1422, 17, 382, 7117, 275, 10931, 311, 1307, 15558, 9968, 299, 19, 334, 7157, 311, 275, 1824, 5913, 275, 6509, 9297, 302, 275, 1200, 19, 18815, 4419, 88, 5343, 302, 275, 8105, 12901, 19, 13842, 311, 334, 12901, 302, 13530, 17, 275, 8105, 12901, 17334, 7476, 497, 3332, 275, 2688, 1924, 1163, 44343, 3599, 496, 6019, 39515, 17, 10105, 17, 28785, 17, 40081, 17, 5538, 329, 26275, 17, 6068, 3703, 17, 329, 5316, 32535, 19, 4682, 382, 4371, 523, 273, 18612, 17, 382, 867, 508, 5096, 311, 4080, 348, 273, 33320, 15837, 521, 10647, 1169, 302, 275, 19746, 6527, 3329, 448, 1250, 1466, 7106, 32, 5862, 17, 382, 867, 5096, 311, 3020, 275, 21056, 6901, 361, 286, 71, 2603, 29016, 496, 12784, 1429, 302, 275, 8105, 12901, 884, 88, 2577, 16275, 19, 334, 21994, 6999, 4744, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10537, 302, 275, 8503, 12424, 15403, 17, 275, 31005, 360, 18857, 656, 501, 865, 47300, 329, 904, 28866, 11013, 39515, 17, 27640, 28182, 3121, 28659, 1697, 884, 88, 15228, 17, 31750, 497, 5589, 12400, 322, 38, 707, 278, 17, 565, 4602, 133, 110, 17, 502, 13334, 17, 27749, 659, 329, 6068, 39515, 322, 7937, 2939, 32905, 17, 21415, 9142, 17, 45267, 514, 17, 329, 275, 34677, 793, 789, 334, 13023, 302, 808, 21994, 867, 273, 4028, 302, 8449, 3662, 12613, 70, 329, 3610, 6973, 31, 275, 34562, 302, 275, 9612, 2527, 322, 416, 28184, 659, 273, 1598, 1909, 47435, 2151, 302, 8449, 3662, 12613, 70, 17, 329, 275, 653, 19245, 3000, 24984, 302, 8449, 3662, 12613, 70, 19, 204, 673, 7157, 311, 275, 1629, 5913, 275, 6509, 19157, 311, 334, 21682, 13932, 17, 275, 6862, 11603, 292, 275, 5269, 20318, 17, 8441, 523, 275, 15028, 1653, 302, 24130, 9748, 19, 334, 11603, 12052, 1163, 2852, 448, 1622, 7602, 447, 20761, 302, 275, 5269, 20318, 884, 88, 18496, 302, 9350, 17, 35446, 9443, 33964, 329, 39682, 5229, 275, 1451, 2817, 302, 24130, 9748, 17, 440, 275, 904, 970, 2902, 13731, 560, 275, 23137, 322, 1947, 43698, 5343, 14, 329, 275, 11575, 322, 25647, 885, 2834, 43111, 1707, 789, 1001, 204, 18226, 17, 273, 5879, 311, 11343, 1784, 444, 19702, 2900, 273, 7157, 302, 24130, 329, 12896, 11565, 322, 36828, 447, 275, 40566, 302, 6939, 885, 2834, 789, 13923, 292, 275, 5269, 5439, 17, 13169, 1741, 19860, 329, 9573, 275, 39682, 292, 2086, 19, 334, 8727, 4774, 529, 1451, 311, 275, 3566, 1330, 275, 552, 8607, 322, 25043, 302, 25077, 329, 9354, 302, 480, 5413, 14, 529, 18282, 19, 334, 9354, 302, 480, 5413, 867, 508, 292, 2067, 1330, 382, 4371, 17, 1101, 382, 867, 5096, 19860, 273, 317, 3498, 17527, 292, 275, 9354, 302, 25077, 3217, 271, 3855, 521, 508, 311, 732, 9604, 2955, 292, 21762, 19, 204, 5039, 13439, 4166, 17, 24130, 9748, 6019, 6939, 885, 2834, 43111, 1707, 19, 3665, 618, 3020, 275, 1913, 302, 1163, 970, 32555, 2842, 311, 275, 1629, 302, 12896, 11565, 292, 808, 7157, 19, 334, 43111, 1707, 353, 27062, 336, 292, 3511, 448, 490, 869, 1742, 1376, 348, 23516, 22723, 657, 3522, 931, 4920, 329, 353, 275, 2423, 32641, 2481, 348, 19875, 29406, 28994, 88, 19, 334, 43111, 1707, 1425, 869, 15548, 6068, 329, 11138, 27041, 88, 329, 11025, 17097, 7870, 275, 1324, 19, 382, 22849, 1051, 302, 275, 4476, 3389, 11025, 17097, 496, 529, 8923, 523, 18612, 2219, 880, 329, 14006, 5979, 11005, 1993, 1370, 4569, 46151, 7504, 8305, 322, 43510, 291, 36961, 351, 360, 17, 42573, 623, 412, 29329, 9640, 5733, 17, 19725, 418, 565, 33664, 789, 5860, 302, 872, 1741, 444, 41567, 2075, 353, 754, 2220, 1465, 437, 3389, 11025, 2764, 329, 2075, 490, 869, 311, 770, 440, 4260, 12947, 521, 275, 3938, 19, 12767, 19, 11005, 1993, 884, 88, 30751, 7506, 496, 566, 15101, 630, 44022, 12661, 17, 19804, 1273, 566, 8923, 437, 3389, 35900, 17, 329, 496, 566, 353, 273, 42055, 302, 275, 18626, 12661, 302, 11460, 2156, 19, 15386, 17177, 17, 566, 1425, 22635, 448, 273, 1170, 323, 3087, 329, 11845, 12537, 329, 4316, 3938, 19, 2026, 1910, 1880, 529, 1422, 292, 275, 2688, 496, 10807, 273, 10266, 8008, 440, 273, 14214, 448, 273, 27041, 3389, 337, 36, 0, 531, 1169, 3150, 532, 4534, 204, 204, 676, 7841, 26919, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 2216, 5357, 292, 273, 1948, 4457, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 588, 1164, 394, 204, 268, 334, 588, 302, 275, 1948, 311, 2216, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 330, 204, 268, 320, 204, 268, 977, 273, 7841, 26919, 440, 273, 800, 588, 19, 204, 204, 268, 1164, 2394, 588, 31, 334, 588, 302, 275, 1948, 311, 2216, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 204, 264, 1642, 4460, 204, 264, 436, 7943, 68, 9483, 13, 2119, 68, 4509, 31, 458, 17, 3370, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 10248, 6943, 292, 275, 1948, 4457, 19, 204, 204, 268, 1164, 2394, 1948, 68, 4509, 31, 334, 458, 302, 5357, 19, 204, 268, 1164, 2394, 3370, 31, 334, 790, 1502, 292, 275, 1948, 4457, 19, 204, 268, 1164, 3309, 31, 334, 2908, 3370, 1502, 19, 204, 268, 320, 204, 268, 314, 10248, 6943, 292, 275, 1948, 4457, 204, 268, 1335, 3370, 962, 1245, 13, 2119, 68, 4509, 14, 329, 688, 204, 485, 1948, 68, 4509, 64, 4322, 1664, 417, 292, 2470, 21645, 46, 68, 47101, 491, 379, 47992, 68, 47101, 5441, 204, 305, 3370, 1412, 368, 204, 268, 407, 3370, 204, 204, 264, 436, 1356, 13, 327, 17, 1948, 68, 4509, 31, 458, 17, 3370, 31, 421, 17, 2260, 68, 1241, 31, 4534, 14, 393, 927, 64, 2107, 17, 421, 744, 204, 268, 320, 204, 268, 778, 397, 275, 790, 1948, 4083, 275, 800, 588, 19, 204, 204, 268, 1164, 2394, 1948, 68, 4509, 31, 334, 458, 302, 5357, 19, 204, 268, 1164, 2394, 3370, 31, 334, 790, 1502, 292, 275, 1948, 4457, 19, 204, 268, 1164, 2394, 2260, 68, 1241, 31, 334, 2260, 944, 311, 9380, 275, 12390, 1948, 311, 19, 204, 268, 1164, 3309, 31, 332, 927, 1174, 273, 8051, 5850, 3855, 275, 1948, 4083, 329, 275, 2908, 3370, 1502, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1948, 4457, 353, 31371, 204, 268, 397, 3370, 3721, 1245, 13, 2119, 68, 4509, 330, 204, 305, 980, 987, 499, 7545, 4457, 31371, 431, 204, 204, 268, 314, 778, 397, 275, 790, 1948, 4083, 275, 800, 588, 204, 268, 397, 370, 19, 417, 564, 379, 16162, 597, 204, 305, 407, 959, 17, 3370, 204, 268, 397, 1948, 68, 4509, 64, 4322, 1664, 417, 564, 370, 19, 417, 31, 204, 305, 314, 666, 273, 717, 944, 440, 275, 800, 2260, 944, 204, 305, 370, 806, 1510, 68, 1241, 13, 3619, 68, 1241, 17, 1948, 68, 4509, 64, 4322, 1664, 417, 14, 204, 305, 314, 10248, 6943, 292, 275, 1948, 4457, 204, 305, 3370, 289, 7841, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 26919, 19, 12349, 68, 9483, 13, 2119, 68, 4509, 17, 3370, 465, 368, 14, 204, 305, 407, 959, 17, 3370, 204, 268, 407, 1078, 17, 3370, 204, 204, 264, 436, 906, 1510, 68, 1241, 13, 327, 17, 2260, 68, 1241, 31, 4534, 17, 1948, 68, 417, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 944, 440, 275, 800, 2260, 944, 19, 204, 204, 268, 1164, 2394, 2260, 68, 1241, 31, 334, 2260, 944, 311, 9380, 275, 717, 944, 311, 19, 204, 268, 1164, 2394, 1948, 68, 417, 31, 334, 588, 302, 275, 1948, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 944, 440, 275, 800, 2260, 944, 204, 268, 4534, 13, 75, 1954, 2119, 68, 417, 7449, 359, 13, 3619, 68, 1241, 36360, 2260, 34, 3619, 68, 1241, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 676, 7841, 31, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 330, 204, 268, 370, 19, 417, 289, 588, 204, 204, 8, 666, 273, 1948, 4457, 204, 2119, 68, 4509, 289, 551, 7545, 611, 9237, 22, 2008, 7841, 611, 21645, 46, 68, 47101, 2008, 7841, 611, 9237, 23, 10116, 204, 204, 8, 666, 273, 1610, 944, 204, 2125, 68, 1241, 289, 4534, 611, 19088, 534, 204, 204, 8, 666, 273, 1948, 24597, 204, 27627, 289, 7841, 26919, 611, 9237, 22, 534, 204, 204, 8, 778, 397, 275, 790, 1948, 4083, 275, 800, 588, 204, 4322, 289, 500, 204, 9274, 17, 3370, 289, 24597, 19, 2555, 13, 2119, 68, 4509, 17, 3370, 17, 1610, 68, 1241, 14, 204, 204, 2102, 13, 9274, 14, 226, 314, 3215, 31, 959, 204, 2102, 13, 4322, 14, 262, 314, 3215, 31, 435, 204, 0, 39, 32494, 272, 8907, 22855, 27957, 31020, 1193, 802, 5672, 2834, 1750, 22686, 14693, 1331, 497, 690, 302, 501, 3954, 19505, 19361, 204, 30210, 681, 31, 473, 3315, 17, 20314, 17, 11261, 3139, 17, 14259, 204, 837, 275, 1602, 73, 608, 49050, 302, 15028, 8971, 4558, 275, 14032, 1516, 15955, 17, 11742, 7715, 43056, 273, 2590, 292, 273, 2786, 555, 509, 48024, 5544, 2181, 8518, 1466, 44043, 5311, 311, 9940, 273, 1786, 269, 17, 6251, 702, 354, 27957, 31020, 18282, 5880, 13691, 10501, 10810, 5301, 1873, 292, 275, 28737, 19, 204, 673, 2590, 18, 2990, 7715, 12098, 1017, 23506, 41124, 1516, 1048, 311, 387, 19, 41, 19, 565, 10422, 90, 17, 273, 22864, 47361, 1415, 15342, 311, 444, 292, 275, 13736, 497, 275, 313, 17278, 8385, 10249, 630, 15182, 2767, 422, 90, 12170, 23796, 784, 298, 555, 17, 275, 7695, 302, 275, 9992, 1259, 302, 1144, 5382, 70, 19, 565, 10422, 90, 867, 15963, 29194, 19, 204, 6950, 3545, 566, 10524, 1169, 302, 1704, 18987, 2080, 7921, 5298, 273, 31020, 9395, 2090, 490, 19, 5424, 273, 21638, 4940, 607, 17, 357, 46361, 6497, 27957, 7498, 17, 4720, 9621, 329, 273, 10652, 35834, 348, 8907, 22855, 1025, 275, 4410, 17, 490, 15575, 2090, 5805, 19036, 19, 23624, 490, 867, 19, 204, 673, 31020, 17, 490, 12098, 685, 17, 867, 273, 4985, 302, 273, 23919, 7843, 4680, 302, 273, 23919, 7843, 25740, 302, 273, 23919, 7843, 4316, 302, 34841, 5187, 3119, 3303, 437, 1600, 360, 7404, 4985, 302, 273, 22376, 27459, 302, 388, 39472, 34841, 7, 496, 529, 3556, 311, 542, 1182, 1194, 681, 17, 10015, 4680, 19, 204, 673, 4316, 6644, 311, 1489, 1818, 1182, 1194, 2031, 5857, 2181, 311, 273, 690, 1330, 9916, 329, 8971, 1466, 12174, 292, 273, 2875, 15596, 2234, 40138, 3303, 3250, 501, 3954, 19505, 19361, 19, 4596, 7669, 5857, 2181, 8518, 496, 22419, 2080, 13273, 719, 1025, 12268, 302, 3623, 14422, 496, 6999, 17679, 38282, 5365, 17, 275, 387, 1707, 47282, 793, 17, 329, 275, 15028, 501, 1539, 88, 302, 8971, 19, 204, 5681, 8849, 12146, 273, 2875, 717, 4680, 302, 1169, 6555, 490, 677, 13832, 3253, 348, 304, 13628, 17330, 32, 41598, 437, 15491, 717, 25740, 7987, 348, 20308, 830, 3332, 275, 17804, 17, 1101, 41598, 273, 4835, 717, 4316, 440, 1163, 860, 3083, 25740, 329, 4680, 618, 1895, 273, 14214, 19, 204, 1834, 717, 1051, 869, 1742, 800, 275, 798, 45407, 588, 302, 392, 402, 3278, 429, 37664, 366, 354, 1533, 4312, 73, 272, 853, 360, 17, 273, 4985, 302, 275, 717, 4316, 3250, 275, 392, 402, 3278, 429, 37664, 366, 30490, 19, 392, 402, 15878, 353, 48514, 348, 17987, 32, 6174, 321, 366, 354, 3210, 31020, 17, 329, 275, 4680, 588, 17, 1533, 4312, 73, 272, 853, 360, 17, 11647, 311, 275, 12921, 501, 1539, 88, 17, 275, 33957, 4558, 8971, 677, 8625, 10828, 1273, 275, 31020, 7977, 17, 565, 10422, 90, 13171, 19, 204, 43, 5246, 94, 5166, 333, 90, 33401, 17, 437, 24702, 10604, 337, 630, 275, 565, 14907, 32861, 12955, 4639, 292, 41285, 17, 15575, 630, 275, 31020, 677, 8998, 348, 22641, 1465, 1163, 11091, 19, 2474, 21742, 496, 1465, 1607, 5857, 2181, 8518, 17, 275, 392, 402, 3278, 429, 37664, 366, 30490, 4316, 3404, 2258, 497, 10407, 5131, 302, 275, 31020, 37598, 19, 204, 17872, 302, 275, 31020, 13209, 560, 565, 10422, 90, 329, 275, 8998, 4249, 560, 5166, 333, 90, 33401, 529, 6193, 808, 3747, 292, 275, 10315, 16476, 329, 529, 2861, 12511, 437, 8924, 33510, 19, 204, 7, 46, 12119, 23055, 19016, 11797, 5167, 6926, 351, 11977, 13809, 412, 10543, 301, 17, 48437, 329, 692, 730, 302, 2830, 9100, 6531, 630, 275, 10224, 18924, 302, 18452, 292, 10195, 21466, 17, 1415, 869, 47348, 34841, 329, 1017, 11091, 292, 4662, 10261, 5899, 348, 275, 5378, 2468, 2181, 19, 388, 1834, 353, 7051, 40110, 32, 490, 677, 44568, 20004, 3343, 0, 8, 4390, 3600, 6500, 204, 531, 1559, 20424, 286, 19, 7522, 532, 783, 204, 531, 1559, 20424, 286, 532, 13516, 286, 17, 10821, 17, 9166, 204, 531, 1559, 20424, 286, 532, 4840, 204, 647, 2454, 204, 647, 1567, 87, 204, 204, 8, 1255, 13165, 311, 1945, 2617, 17599, 28027, 6330, 204, 836, 87, 19, 4421, 17212, 611, 8177, 534, 204, 836, 87, 19, 4421, 17212, 611, 8177, 19, 5236, 534, 204, 836, 87, 19, 4421, 17212, 499, 8177, 19, 10184, 19, 2954, 88, 431, 204, 531, 6136, 19, 10184, 19, 2954, 88, 532, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7837, 6754, 204, 204, 8, 968, 3454, 204, 9281, 289, 1078, 204, 2097, 12513, 68, 16503, 2214, 289, 1078, 204, 23344, 7660, 68, 31539, 10042, 68, 21680, 289, 500, 19, 3222, 204, 204, 461, 2037, 68, 14954, 13, 1454, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3740, 437, 10733, 943, 311, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 11656, 19, 204, 264, 320, 204, 264, 7837, 6754, 19, 14625, 13, 1454, 14, 204, 204, 676, 29453, 11767, 31, 204, 264, 320, 204, 264, 2646, 273, 6220, 1525, 19, 204, 204, 264, 1532, 31, 204, 268, 2139, 68, 885, 322, 3349, 19, 31411, 330, 334, 2311, 917, 302, 275, 2139, 7587, 2871, 19, 204, 268, 2139, 68, 1129, 322, 3349, 19, 31411, 330, 334, 1646, 917, 302, 275, 2139, 7587, 2871, 19, 204, 268, 2984, 68, 885, 322, 3349, 19, 31411, 330, 334, 2311, 917, 302, 275, 4297, 7587, 2871, 19, 204, 268, 2984, 68, 1129, 322, 3349, 19, 31411, 330, 334, 1646, 917, 302, 275, 4297, 7587, 2871, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 370, 19, 3112, 68, 885, 289, 443, 204, 268, 370, 19, 3112, 68, 1129, 289, 443, 204, 268, 370, 19, 4418, 68, 885, 289, 443, 204, 268, 370, 19, 4418, 68, 1129, 289, 443, 204, 204, 461, 838, 68, 15611, 68, 12470, 13, 6228, 68, 12470, 31, 10821, 19, 32772, 14, 393, 10821, 19, 32772, 31, 204, 264, 320, 204, 264, 666, 273, 717, 5825, 440, 275, 1729, 8605, 292, 275, 4036, 2945, 19, 204, 204, 264, 457, 31, 204, 268, 2171, 68, 12470, 322, 3349, 19, 32772, 330, 334, 2171, 5825, 311, 444, 7563, 19, 204, 204, 264, 475, 31, 204, 268, 10821, 19, 32772, 31, 334, 7563, 5825, 19, 204, 264, 320, 204, 264, 397, 2381, 13, 6228, 68, 12470, 17, 10821, 19, 9576, 330, 204, 268, 314, 666, 273, 717, 1007, 440, 275, 1729, 8605, 292, 275, 4036, 2945, 204, 268, 407, 10821, 19, 9576, 19, 5964, 33302, 13, 6228, 68, 12470, 19, 5136, 10981, 6661, 13, 22, 659, 2171, 68, 12470, 19, 5136, 10981, 6661, 13, 21, 602, 204, 264, 407, 443, 204, 204, 461, 1688, 68, 35589, 68, 30123, 13, 35589, 31, 783, 64, 3349, 19, 32772, 694, 393, 783, 64, 3349, 19, 32772, 744, 204, 264, 320, 204, 264, 4641, 273, 458, 302, 14299, 311, 1895, 1475, 5728, 8783, 329, 34889, 311, 798, 273, 7106, 3546, 19, 204, 204, 264, 457, 31, 204, 268, 14299, 322, 1218, 64, 3349, 19, 32772, 1037, 334, 458, 302, 14299, 311, 444, 2282, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 3349, 19, 32772, 744, 334, 2282, 458, 302, 14299, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 1688, 275, 14299, 204, 264, 314, 1765, 6893, 5356, 17, 407, 275, 2171, 458, 204, 264, 407, 14299, 204, 204, 461, 6087, 68, 633, 68, 1529, 68, 4072, 13, 4803, 68, 13046, 31, 10821, 19, 31411, 14, 393, 10821, 19, 31411, 31, 204, 264, 320, 204, 264, 10134, 273, 917, 497, 6087, 2992, 311, 2013, 2992, 19, 204, 204, 264, 457, 31, 204, 268, 6087, 68, 13046, 322, 3349, 19, 31411, 330, 334, 917, 292, 6087, 2992, 19, 204, 204, 264, 475, 31, 204, 268, 10821, 19, 31411, 31, 334, 917, 292, 2013, 2992, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 3204, 275, 917, 204, 264, 314, 1765, 6893, 5356, 17, 407, 275, 2171, 917, 204, 264, 407, 6087, 68, 13046, 204, 204, 461, 758, 68, 12831, 68, 14055, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1359, 275, 6824, 8042, 348, 273, 2013, 1609, 523, 273, 4285, 758, 302, 2238, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4285, 2013, 898, 329, 8042, 2238, 204, 264, 4285, 68, 1529, 6568, 289, 551, 404, 348, 731, 292, 13516, 286, 19, 505, 68, 7419, 374, 397, 2381, 13, 404, 17, 10821, 19, 3244, 898, 2395, 204, 264, 4285, 68, 14055, 289, 551, 404, 348, 731, 292, 13516, 286, 19, 505, 68, 7419, 374, 397, 2381, 13, 404, 17, 10821, 19, 32772, 5476, 2395, 204, 204, 264, 314, 778, 397, 273, 2013, 898, 329, 8042, 2238, 529, 4285, 204, 264, 397, 508, 4285, 68, 1529, 6568, 521, 1245, 13, 9227, 68, 14055, 14, 962, 571, 31, 204, 268, 2037, 68, 14954, 611, 5213, 2694, 273, 2013, 898, 329, 273, 7106, 3546, 302, 7058, 2238, 5901, 204, 268, 407, 204, 204, 264, 314, 763, 275, 4285, 2013, 898, 329, 2013, 204, 264, 4285, 68, 37828, 289, 4285, 68, 1529, 6568, 64, 21, 66, 204, 264, 4285, 68, 1529, 289, 13516, 286, 19, 3228, 19, 5136, 5476, 13, 9227, 68, 37828, 19, 3244, 4729, 14, 204, 204, 264, 314, 3867, 6430, 275, 6824, 2871, 353, 4884, 204, 264, 397, 508, 4285, 68, 1529, 19, 29563, 6754, 25171, 31, 204, 268, 440, 13516, 286, 19, 14456, 611, 49107, 316, 19108, 14851, 4448, 204, 305, 4285, 68, 1529, 19, 29563, 6754, 25171, 289, 959, 204, 204, 264, 314, 4862, 275, 3975, 311, 758, 275, 6824, 8042, 204, 264, 314, 1765, 6893, 5356, 17, 770, 9430, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 311, 4490, 275, 3467, 19, 204, 264, 320, 204, 264, 397, 13516, 286, 19, 505, 68, 7419, 1293, 204, 268, 758, 68, 12831, 68, 14055, 374, 204, 264, 902, 31, 204, 268, 2037, 68, 14954, 611, 5213, 2694, 273, 2013, 898, 329, 273, 7106, 3546, 302, 7058, 2238, 5901, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 20210, 204, 531, 1498, 532, 1884, 17, 1061, 204, 204, 8, 968, 273, 3324, 348, 275, 17588, 4583, 896, 204, 33279, 68, 9187, 68, 4617, 289, 379, 25, 38451, 6007, 4734, 71, 27, 1150, 22, 74, 3699, 71, 24, 71, 25, 75, 29936, 74, 28, 1258, 1794, 3916, 24, 72, 2934, 71, 25, 73, 5049, 22, 75, 30, 39373, 72, 2562, 70, 9783, 5235, 2562, 30, 40994, 336, 27, 12, 204, 204, 461, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 838, 68, 2609, 68, 2196, 270, 68, 2119, 13, 2609, 68, 2196, 270, 31, 726, 14, 393, 3154, 31, 204, 264, 320, 204, 264, 2605, 273, 17588, 1948, 1174, 275, 3630, 348, 275, 7887, 302, 273, 7867, 7352, 270, 726, 19, 204, 204, 264, 457, 31, 204, 268, 1113, 68, 2196, 270, 322, 1386, 330, 332, 7867, 7352, 270, 726, 204, 204, 264, 475, 31, 204, 268, 3154, 31, 332, 17588, 1948, 204, 264, 320, 204, 264, 314, 763, 275, 3630, 329, 1259, 497, 275, 7867, 7352, 270, 726, 204, 264, 3630, 289, 1113, 68, 2196, 270, 19, 505, 68, 3880, 374, 204, 264, 4884, 68, 15238, 17, 4884, 68, 15238, 68, 1849, 68, 998, 289, 1113, 68, 2196, 270, 19, 505, 68, 1512, 68, 531, 68, 2119, 374, 204, 615, 264, 314, 666, 275, 1948, 974, 275, 3630, 329, 1259, 204, 264, 407, 838, 68, 44101, 68, 2119, 13, 3880, 64, 21, 648, 3630, 64, 22, 648, 4884, 68, 15238, 17, 4884, 68, 15238, 68, 1849, 68, 998, 14, 204, 204, 204, 461, 838, 68, 44101, 68, 2119, 13, 15238, 68, 1735, 31, 394, 17, 11196, 68, 1633, 31, 394, 17, 4884, 68, 15238, 31, 394, 17, 4884, 68, 15238, 68, 1849, 68, 998, 31, 421, 14, 393, 3154, 31, 204, 264, 320, 204, 264, 2605, 273, 17588, 1948, 1174, 275, 3630, 329, 1259, 302, 970, 20567, 19, 204, 204, 264, 457, 31, 204, 268, 11196, 68, 1735, 322, 325, 330, 334, 832, 302, 275, 1824, 11196, 204, 268, 11196, 68, 1633, 322, 325, 330, 334, 832, 302, 275, 1629, 11196, 204, 268, 4884, 68, 15238, 322, 325, 330, 334, 1540, 11196, 204, 268, 4884, 68, 15238, 68, 1849, 68, 998, 322, 339, 330, 334, 1540, 1103, 1112, 497, 275, 11196, 204, 204, 264, 475, 31, 204, 268, 3154, 31, 332, 17588, 1948, 204, 264, 320, 204, 264, 314, 666, 273, 955, 311, 1640, 275, 11196, 1483, 204, 264, 11196, 68, 1270, 31, 1061, 64, 325, 17, 394, 66, 289, 463, 204, 268, 379, 15238, 68, 1735, 597, 11196, 68, 1735, 17, 204, 268, 379, 15238, 68, 1633, 597, 11196, 68, 1633, 17, 204, 268, 379, 1512, 68, 15238, 597, 4884, 68, 15238, 17, 204, 268, 379, 1512, 68, 15238, 68, 1849, 68, 998, 597, 4884, 68, 15238, 68, 1849, 68, 998, 204, 264, 1211, 204, 615, 264, 314, 666, 275, 17588, 1948, 974, 275, 11196, 1483, 204, 264, 407, 20210, 19, 4170, 13, 15238, 68, 1270, 17, 17588, 68, 9187, 68, 4617, 17, 3372, 833, 14663, 6372, 534, 204, 204, 204, 461, 10318, 68, 44101, 68, 2119, 13, 2119, 31, 3154, 14, 393, 1884, 64, 325, 17, 394, 17, 1061, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 30783, 273, 17588, 1948, 1174, 11196, 1483, 19, 204, 204, 264, 457, 31, 204, 268, 1948, 322, 3881, 330, 334, 17588, 1948, 311, 10318, 204, 204, 264, 475, 31, 204, 268, 1884, 64, 325, 17, 394, 17, 1061, 64, 325, 17, 394, 2440, 332, 927, 1174, 275, 1824, 11196, 832, 17, 1629, 11196, 832, 17, 329, 275, 9581, 1948, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 1948, 353, 2872, 521, 869, 18498, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 10318, 275, 1948, 204, 268, 9581, 68, 2119, 31, 1061, 64, 325, 17, 394, 66, 289, 20210, 19, 5286, 13, 2119, 17, 17588, 68, 9187, 68, 4617, 17, 11619, 4980, 14663, 6372, 2378, 204, 264, 827, 322, 16807, 19, 46930, 26362, 596, 17, 20210, 19, 1962, 7545, 596, 14, 448, 318, 31, 204, 268, 314, 5149, 273, 987, 397, 275, 1948, 353, 2872, 521, 869, 18498, 204, 268, 980, 987, 499, 1962, 1948, 431, 497, 318, 204, 615, 264, 314, 455, 275, 1824, 11196, 832, 17, 1629, 11196, 832, 17, 329, 275, 9581, 1948, 204, 264, 407, 322, 21934, 68, 2119, 736, 15238, 68, 1735, 2043, 9581, 68, 2119, 736, 15238, 68, 1633, 2043, 9581, 68, 2119, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 676, 7867, 7352, 270, 31, 204, 264, 436, 636, 68, 3880, 13, 327, 330, 204, 268, 407, 2470, 20, 546, 20, 633, 20, 1735, 491, 5014, 546, 20, 633, 20, 1633, 839, 204, 204, 264, 436, 636, 68, 1512, 68, 531, 68, 2119, 13, 327, 330, 204, 268, 407, 379, 1735, 491, 500, 204, 204, 2609, 68, 2196, 270, 289, 7867, 7352, 270, 374, 204, 2119, 289, 838, 68, 2609, 68, 2196, 270, 68, 2119, 13, 2609, 68, 2196, 270, 14, 204, 2102, 13, 2119, 14, 204, 204, 21934, 68, 2119, 289, 10318, 68, 44101, 68, 2119, 13, 2119, 14, 204, 2102, 13, 21934, 68, 2119, 14, 204, 0, 5399, 529, 275, 39210, 29661, 54, 88, 440, 275, 8557, 3576, 5748, 31, 204, 204, 777, 41, 12550, 29661, 54, 88, 777, 204, 204, 22, 19, 17182, 11188, 275, 9989, 302, 5914, 36, 204, 13, 70, 14, 31850, 204, 13, 71, 14, 12462, 204, 13, 72, 14, 48305, 204, 13, 73, 14, 10267, 470, 3435, 204, 204, 4706, 31, 322, 71, 14, 12462, 204, 204, 23, 19, 592, 928, 2016, 3756, 38414, 12462, 8959, 275, 9989, 302, 5914, 36, 204, 13, 70, 14, 1301, 9028, 271, 18, 335, 18, 47009, 1645, 78, 204, 13, 71, 14, 21719, 1257, 40063, 204, 13, 72, 14, 28935, 429, 18, 335, 18, 38, 29445, 429, 204, 13, 73, 14, 2439, 18, 2938, 4200, 422, 204, 204, 4706, 31, 322, 71, 14, 21719, 1257, 40063, 204, 204, 24, 19, 2935, 353, 275, 3633, 7634, 560, 275, 9989, 302, 5914, 36, 204, 13, 70, 14, 13108, 204, 13, 71, 14, 48054, 204, 13, 72, 14, 25154, 204, 13, 73, 14, 31168, 204, 204, 4706, 31, 322, 70, 14, 13108, 204, 204, 25, 19, 2935, 353, 275, 1043, 3938, 302, 5914, 1425, 3556, 448, 36, 204, 13, 70, 14, 48054, 204, 13, 71, 14, 25154, 204, 13, 72, 14, 42984, 204, 13, 73, 14, 443, 302, 1605, 204, 204, 4706, 31, 322, 72, 14, 42984, 204, 204, 26, 19, 2935, 353, 275, 3422, 3001, 302, 15922, 36, 204, 13, 70, 14, 10718, 204, 13, 71, 14, 10754, 204, 13, 72, 14, 31168, 204, 13, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 73, 14, 5610, 302, 4166, 204, 204, 4706, 31, 322, 70, 14, 10718, 204, 204, 27, 19, 2935, 353, 275, 13305, 302, 273, 2484, 496, 20733, 311, 15753, 1163, 1259, 302, 3022, 521, 9000, 5914, 36, 204, 13, 70, 14, 13194, 204, 13, 71, 14, 13108, 204, 13, 72, 14, 42984, 204, 13, 73, 14, 31168, 204, 204, 4706, 31, 322, 72, 14, 42984, 204, 204, 28, 19, 2935, 353, 275, 13478, 496, 3731, 521, 20733, 311, 2652, 275, 1259, 302, 3022, 521, 9000, 5914, 302, 273, 2484, 36, 204, 13, 70, 14, 13194, 204, 13, 71, 14, 13108, 204, 13, 72, 14, 42984, 204, 13, 73, 14, 31168, 204, 204, 4706, 31, 322, 71, 14, 13108, 204, 204, 29, 19, 10643, 3938, 302, 5914, 353, 1425, 3556, 448, 275, 3938, 302, 15922, 36, 204, 13, 70, 14, 6867, 204, 13, 71, 14, 10110, 204, 13, 72, 14, 19373, 204, 13, 73, 14, 37087, 204, 204, 4706, 31, 322, 70, 14, 6867, 204, 204, 30, 19, 2935, 353, 7758, 292, 273, 2484, 1330, 273, 2955, 353, 6310, 36, 204, 13, 70, 14, 13194, 204, 13, 71, 14, 25154, 204, 13, 72, 14, 10754, 204, 13, 73, 14, 443, 302, 275, 4166, 204, 204, 4706, 31, 322, 71, 14, 25154, 204, 204, 1003, 19, 592, 928, 2945, 353, 275, 5816, 7758, 292, 273, 5751, 2484, 36, 204, 13, 70, 14, 20673, 204, 13, 71, 14, 13108, 204, 13, 72, 14, 14785, 204, 13, 73, 14, 31168, 204, 204, 4706, 31, 322, 71, 14, 13108, 204, 204, 2152, 322, 5243, 302, 275, 3888, 14, 204, 204, 7108, 31, 382, 5748, 275, 8557, 3576, 17, 2864, 275, 388, 3244, 8833, 7, 329, 388, 3244, 28457, 7, 5444, 17, 329, 275, 9499, 3888, 19, 382, 1425, 47347, 275, 3888, 311, 1895, 1475, 9509, 311, 1151, 19, 5486, 479, 2379, 397, 872, 874, 1169, 5395, 2164, 6, 0, 1834, 9280, 302, 275, 23969, 3467, 562, 5178, 1163, 588, 497, 275, 8429, 23143, 292, 928, 5608, 5178, 437, 287, 434, 560, 13134, 2416, 276, 19, 1547, 353, 273, 14498, 4789, 275, 2481, 496, 5608, 24873, 311, 27332, 25924, 17, 12369, 444, 6982, 3850, 19, 204, 3728, 437, 37924, 490, 353, 348, 273, 1874, 397, 5608, 31302, 311, 3850, 5104, 6, 20410, 1051, 28352, 17, 388, 13084, 1583, 5608, 508, 6293, 311, 451, 1425, 14581, 334, 7180, 353, 496, 5608, 31302, 311, 830, 3651, 20955, 1924, 275, 28420, 291, 17, 7301, 1901, 1880, 8809, 490, 6, 3433, 770, 508, 3074, 275, 690, 311, 1020, 2075, 275, 28420, 291, 5366, 311, 1475, 6, 204, 673, 8784, 302, 5608, 884, 88, 8749, 353, 311, 5190, 451, 47816, 292, 275, 7180, 302, 22246, 329, 311, 8029, 451, 311, 275, 832, 302, 1629, 7575, 19, 4168, 572, 12441, 311, 5608, 884, 88, 2159, 572, 529, 32070, 496, 808, 2688, 869, 508, 1742, 1966, 2900, 273, 8784, 19, 1785, 3126, 496, 490, 353, 273, 683, 329, 1422, 353, 273, 5877, 348, 275, 38996, 329, 273, 25196, 1136, 348, 3153, 1415, 33577, 275, 943, 19, 2416, 4897, 496, 572, 4006, 884, 89, 3074, 808, 10473, 48541, 17, 5608, 5178, 1429, 10652, 287, 36166, 31, 204, 7, 3609, 275, 287, 434, 302, 13134, 2416, 276, 322, 1947, 14498, 1273, 5608, 24873, 311, 25924, 14, 329, 275, 5052, 2016, 322, 12964, 869, 275, 2493, 302, 2589, 1874, 884, 88, 5107, 292, 808, 3307, 14, 928, 353, 292, 437, 1451, 22949, 322, 286, 1120, 444, 2755, 348, 4488, 523, 275, 8373, 1330, 275, 8227, 1120, 3891, 1818, 311, 3307, 14, 329, 560, 275, 287, 434, 302, 275, 4362, 673, 29772, 6235, 7287, 2197, 9354, 884, 322, 3484, 375, 311, 273, 2481, 5104, 4166, 275, 23969, 24273, 884, 5267, 3332, 928, 4893, 1307, 292, 9725, 14, 329, 560, 275, 287, 434, 302, 275, 388, 4952, 73, 15526, 7, 322, 1947, 13993, 14, 329, 560, 275, 287, 434, 302, 275, 27838, 12724, 3343, 322, 54, 298, 291, 10691, 31, 22, 18, 27, 14, 204, 15605, 273, 3277, 4818, 497, 275, 13497, 302, 275, 5179, 88, 1784, 874, 1742, 5256, 19, 828, 2474, 869, 4768, 5544, 287, 36166, 17, 1675, 490, 1631, 444, 754, 572, 2761, 3671, 6005, 311, 7953, 10473, 19, 334, 8784, 302, 496, 10473, 353, 311, 6721, 451, 302, 275, 33638, 25983, 31, 204, 7, 837, 8969, 17, 275, 25983, 302, 1214, 13497, 10634, 3074, 2481, 322, 271, 275, 8373, 1330, 830, 1120, 444, 46831, 789, 3065, 10634, 444, 11077, 311, 5068, 490, 3343, 322, 54, 298, 291, 10691, 31, 28, 18, 29, 14, 204, 3728, 1120, 11616, 523, 496, 1593, 13480, 18689, 2344, 36, 204, 37710, 3837, 1120, 444, 14, 334, 2344, 1330, 275, 13993, 10634, 2577, 7772, 794, 7025, 1079, 447, 5013, 416, 275, 21518, 1120, 14465, 1924, 275, 3585, 322, 402, 16072, 9312, 1877, 2545, 8016, 311, 16072, 789, 7, 322, 54, 298, 291, 10691, 31, 30, 18, 1003, 14, 204, 3719, 572, 529, 6924, 2559, 18514, 560, 13815, 5337, 2090, 31, 388, 26652, 17, 382, 3315, 508, 32070, 7, 521, 388, 3837, 5409, 884, 89, 1895, 7211, 311, 479, 5167, 1675, 12441, 311, 2075, 5608, 5366, 311, 830, 3153, 1415, 2717, 275, 3597, 13185, 31, 204, 7, 3753, 3547, 444, 311, 275, 11809, 375, 322, 18919, 33577, 275, 11311, 24243, 14, 523, 496, 2344, 322, 1947, 8373, 302, 19725, 3082, 789, 7, 322, 54, 298, 291, 10691, 31, 1641, 14, 204, 23158, 872, 7921, 6183, 5566, 770, 1429, 1880, 8732, 329, 1429, 770, 508, 36, 6917, 830, 1250, 529, 830, 2927, 302, 16995, 329, 30673, 17, 754, 2075, 884, 88, 275, 5348, 2712, 36, 11449, 770, 1880, 1415, 529, 2130, 29782, 329, 16583, 17, 508, 8732, 292, 5608, 884, 88, 2159, 36, 334, 28420, 291, 3584, 31, 204, 37710, 673, 11809, 375, 529, 14, 3153, 1415, 529, 292, 322, 4868, 14, 35602, 3315, 6298, 7105, 3343, 322, 54, 298, 291, 10691, 31, 1258, 14, 204, 32424, 1415, 11809, 13082, 529, 23124, 43925, 7105, 19, 3433, 770, 448, 1250, 9626, 440, 5680, 9834, 348, 275, 2344, 1330, 1250, 1120, 444, 46831, 348, 10350, 1250, 3756, 19, 204, 837, 808, 2688, 1880, 3524, 311, 10582, 1017, 7977, 329, 529, 13374, 6388, 560, 275, 8295, 2219, 397, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1250, 940, 1073, 1707, 5608, 329, 25222, 23611, 830, 275, 690, 17, 1101, 292, 275, 8278, 8344, 1250, 1120, 444, 12331, 5575, 311, 1017, 44033, 329, 1017, 13082, 31, 204, 13, 5058, 508, 17556, 14, 334, 8373, 1330, 1250, 1120, 444, 348, 72, 24411, 42703, 1462, 1025, 275, 10209, 302, 39411, 19, 322, 54, 298, 291, 10691, 31, 2353, 14, 204, 7002, 830, 1017, 46329, 329, 1017, 711, 1154, 1120, 444, 302, 1236, 732, 31, 204, 37710, 3837, 1120, 444, 3252, 311, 1475, 31, 14, 4362, 1834, 353, 275, 10209, 872, 1376, 311, 33577, 6, 884, 7, 322, 54, 298, 291, 10691, 31, 2300, 14, 204, 13239, 3315, 598, 7105, 560, 4461, 9819, 302, 3153, 1415, 1696, 275, 3597, 13709, 560, 7417, 6298, 1475, 302, 2545, 5875, 17477, 1588, 19, 3846, 523, 496, 2344, 1330, 1250, 1120, 444, 21061, 1025, 275, 6659, 17, 1250, 1120, 444, 9176, 31, 204, 7, 11069, 4947, 808, 11192, 322, 402, 872, 1376, 311, 4627, 1465, 275, 30541, 5056, 302, 275, 31179, 3450, 329, 275, 5967, 5608, 11278, 1475, 14, 521, 529, 872, 17224, 311, 3020, 36, 884, 322, 18489, 872, 529, 17224, 311, 33577, 1163, 12278, 6, 789, 7, 322, 54, 298, 291, 10691, 31, 1909, 14, 204, 32858, 353, 508, 794, 9476, 19, 592, 808, 2688, 17, 275, 832, 302, 38996, 2292, 4230, 508, 444, 38861, 630, 2666, 17, 1101, 3550, 292, 6832, 496, 275, 1364, 18789, 523, 275, 7114, 529, 273, 27655, 683, 497, 5608, 19, 4168, 1880, 3332, 872, 1012, 15314, 6712, 275, 13709, 329, 13815, 17, 388, 3719, 1214, 13709, 867, 754, 3094, 1675, 5566, 529, 872, 2545, 12331, 2090, 808, 15330, 388, 11142, 353, 275, 1978, 872, 4627, 5608, 869, 32297, 15330, 1675, 9356, 496, 808, 2688, 353, 508, 275, 2481, 1273, 572, 618, 3020, 830, 275, 8411, 302, 2077, 44033, 19, 334, 1563, 1120, 444, 6680, 292, 275, 3307, 496, 7336, 1877, 5741, 17, 1330, 3153, 1415, 7168, 273, 3933, 4158, 342, 354, 3307, 13133, 292, 15539, 1291, 1120, 444, 10571, 31, 204, 7, 2101, 1025, 490, 6, 2266, 872, 14848, 490, 440, 23942, 521, 872, 770, 508, 17, 490, 1120, 1895, 1236, 2712, 311, 872, 6, 322, 837, 1169, 1643, 17, 1214, 16688, 1120, 444, 275, 1729, 6268, 3665, 529, 2545, 16544, 5311, 1698, 348, 2075, 322, 88, 1679, 14, 872, 1376, 311, 770, 3343, 322, 54, 298, 291, 10691, 31, 1845, 14, 204, 32424, 16544, 5311, 6612, 884, 89, 444, 16544, 5311, 2900, 5127, 6, 4168, 3153, 1415, 7168, 273, 38996, 3307, 1120, 444, 11188, 440, 275, 21050, 447, 13654, 1621, 364, 594, 31, 204, 7, 26685, 7437, 275, 38996, 10634, 444, 322, 278, 9170, 299, 7105, 14, 292, 1621, 364, 594, 329, 1163, 710, 515, 543, 17, 43925, 2075, 322, 627, 333, 880, 14, 1017, 13497, 4658, 1475, 19, 322, 5842, 302, 275, 8595, 28926, 880, 353, 496, 14, 1017, 13497, 6467, 1475, 497, 275, 25983, 302, 275, 27196, 2513, 322, 45, 1128, 10640, 789, 7, 322, 54, 298, 291, 10691, 31, 2314, 18, 2132, 14, 204, 11594, 1880, 830, 3332, 1475, 1466, 1698, 15502, 440, 275, 6015, 14538, 16275, 302, 275, 2688, 338, 5132, 17, 6940, 17, 329, 11954, 311, 588, 273, 4542, 338, 1605, 5608, 16718, 1880, 32395, 496, 3307, 353, 508, 2927, 2842, 348, 47863, 1101, 353, 273, 683, 302, 1647, 40526, 19, 10162, 17, 1017, 5877, 1120, 444, 275, 35139, 47863, 302, 1621, 364, 594, 17, 275, 794, 3439, 27616, 31, 204, 37710, 13239, 1120, 444, 10571, 31, 14, 388, 42, 269, 329, 7475, 311, 1214, 5557, 884, 88, 1666, 17, 808, 353, 275, 5877, 348, 1214, 3094, 44033, 3343, 3433, 1120, 444, 304, 836, 7187, 523, 401, 90, 1749, 17442, 292, 3015, 329, 1785, 10634, 39631, 1475, 311, 9843, 425, 359, 624, 440, 3403, 17, 6592, 9621, 3343, 322, 54, 298, 291, 10691, 31, 1794, 18, 1036, 14, 204, 673, 13029, 302, 2077, 7977, 353, 496, 2077, 27616, 353, 19702, 2900, 2077, 9172, 19, 7054, 353, 5566, 572, 25878, 19709, 329, 6323, 31185, 440, 2077, 4316, 5131, 19, 5608, 1120, 5157, 830, 275, 4316, 5131, 1415, 8367, 275, 38996, 832, 2219, 397, 1250, 529, 523, 1792, 4683, 5575, 311, 1017, 44033, 19, 17789, 523, 275, 3124, 15321, 1120, 444, 7514, 292, 1870, 311, 444, 26448, 440, 1017, 6757, 17, 2804, 17, 329, 1573, 8607, 19, 204, 7, 2310, 10634, 44321, 275, 3597, 47892, 440, 3153, 302, 1017, 28864, 1415, 1696, 1475, 292, 1017, 13082, 17, 329, 10634, 508, 33577, 1475, 275, 5877, 302, 1017, 3094, 44033, 338, 11243, 353, 7029, 348, 1704, 44033, 3343, 322, 54, 298, 291, 10691, 31, 3699, 14, 204, 10357, 38627, 458, 353, 1392, 19, 3665, 1741, 881, 7192, 311, 808, 458, 974, 275, 3062, 7807, 19, 204, 10357, 3511, 458, 353, 1392, 19, 204, 13084, 4080, 36, 1058, 2150, 4245, 869, 4569, 2363, 8375, 2927, 12361, 348, 872, 17, 1702, 448, 31, 1214, 38627, 17, 1214, 3511, 17, 27291, 7192, 872, 874, 12650, 17514, 17, 10883, 7192, 6193, 3522, 1214, 1673, 6321, 17, 9793, 4514, 1302, 17, 329, 1182, 19, 4171, 2048, 529, 1609, 523, 10534, 329, 1120, 1225, 5728, 1698, 1330, 872, 732, 275, 1729, 5431, 19, 2416, 9393, 1605, 2048, 497, 1169, 5431, 17, 872, 1856, 2924, 1335, 38172, 1908, 808, 4245, 19, 204, 5213, 2064, 1214, 25533, 329, 318, 18, 1100, 1995, 1675, 4974, 523, 275, 2878, 11812, 2963, 19, 3665, 1120, 7137, 273, 717, 1482, 31321, 19, 1974, 808, 717, 1482, 311, 3073, 275, 4245, 19, 0, 531, 4305, 532, 14131, 204, 531, 5589, 17351, 532, 5589, 17351, 204, 204, 676, 1295, 19792, 17351, 13, 5418, 330, 204, 264, 320, 204, 264, 1295, 2910, 348, 275, 5589, 17351, 850, 19, 204, 204, 264, 1058, 683, 9617, 11208, 275, 7800, 302, 275, 5589, 17351, 850, 17, 204, 264, 12361, 275, 18034, 1216, 19, 204, 264, 320, 204, 204, 264, 436, 9498, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 5589, 17351, 1014, 348, 848, 683, 19, 204, 204, 268, 1058, 1216, 353, 3250, 2518, 848, 683, 311, 4897, 273, 11370, 1014, 204, 268, 302, 275, 5589, 17351, 850, 19, 204, 268, 320, 204, 268, 370, 19, 15661, 289, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5589, 17351, 374, 204, 204, 264, 436, 683, 68, 13118, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 275, 18034, 1216, 440, 273, 1672, 537, 782, 19, 204, 204, 268, 1058, 683, 1322, 5377, 397, 275, 18034, 1216, 5728, 17982, 275, 537, 204, 268, 782, 1025, 5357, 329, 27931, 9873, 1702, 448, 886, 329, 7163, 19, 204, 268, 320, 204, 268, 314, 968, 275, 537, 782, 329, 1812, 919, 204, 268, 683, 68, 768, 68, 1031, 289, 388, 2841, 8344, 273, 10684, 38670, 338, 3326, 2548, 10342, 5741, 311, 437, 4916, 5254, 17, 2562, 27, 4720, 43566, 1283, 43796, 329, 32964, 3343, 204, 268, 1812, 68, 6672, 289, 322, 204, 305, 551, 204, 485, 388, 2841, 8344, 528, 204, 485, 388, 70, 528, 204, 485, 388, 45490, 528, 204, 485, 388, 4749, 730, 528, 204, 485, 43924, 204, 485, 388, 7025, 528, 204, 485, 388, 8346, 528, 204, 485, 388, 12481, 5291, 528, 204, 485, 388, 19450, 528, 204, 485, 388, 633, 528, 204, 485, 388, 291, 528, 204, 485, 388, 16684, 528, 204, 485, 23573, 5551, 24199, 204, 485, 388, 747, 528, 204, 485, 388, 92, 20614, 528, 204, 485, 23573, 9885, 24199, 204, 485, 20013, 204, 305, 7241, 204, 305, 551, 204, 485, 4401, 291, 4916, 5254, 17, 2562, 27, 528, 388, 30798, 39094, 3186, 204, 485, 4401, 13744, 43796, 329, 32964, 528, 388, 9885, 3186, 204, 485, 4401, 4343, 17, 2562, 27, 528, 388, 5551, 3186, 204, 305, 7241, 204, 268, 1179, 204, 204, 268, 314, 3289, 311, 18034, 275, 537, 782, 204, 268, 810, 31, 204, 305, 314, 17253, 275, 537, 782, 204, 305, 5357, 289, 370, 19, 15661, 19, 13118, 13, 804, 68, 768, 68, 1031, 14, 204, 3123, 305, 314, 778, 397, 275, 2641, 919, 4083, 275, 1812, 919, 204, 305, 370, 19, 2978, 13, 6672, 17, 1812, 68, 6672, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 828, 437, 2710, 3459, 17, 2434, 275, 683, 448, 5585, 204, 305, 370, 19, 7639, 13, 75, 7, 29465, 2710, 31, 463, 74, 743, 204, 204, 264, 436, 683, 68, 13118, 68, 4868, 68, 1031, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 275, 18034, 1216, 440, 437, 1392, 537, 782, 19, 204, 204, 268, 1058, 683, 1322, 5377, 397, 275, 18034, 1216, 5728, 9713, 437, 1392, 204, 268, 537, 782, 19, 204, 268, 320, 204, 268, 314, 968, 275, 537, 782, 329, 1812, 919, 204, 268, 683, 68, 768, 68, 1031, 289, 3026, 204, 268, 1812, 68, 6672, 289, 16509, 648, 10336, 204, 204, 268, 314, 3289, 311, 18034, 275, 537, 782, 204, 268, 810, 31, 204, 305, 314, 17253, 275, 537, 782, 204, 305, 5357, 289, 370, 19, 15661, 19, 13118, 13, 804, 68, 768, 68, 1031, 14, 204, 3123, 305, 314, 778, 397, 275, 2641, 919, 4083, 275, 1812, 919, 204, 305, 370, 19, 2978, 13, 6672, 17, 1812, 68, 6672, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 828, 437, 2710, 3459, 17, 2434, 275, 683, 448, 5585, 204, 305, 370, 19, 7639, 13, 75, 7, 29465, 2710, 31, 463, 74, 743, 204, 204, 264, 436, 683, 68, 13118, 68, 8765, 68, 750, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 275, 18034, 1216, 440, 273, 2875, 1142, 537, 782, 19, 204, 204, 268, 1058, 683, 1322, 5377, 397, 275, 18034, 1216, 5728, 9713, 273, 2875, 204, 268, 1142, 537, 782, 19, 204, 268, 320, 204, 268, 314, 968, 275, 537, 782, 329, 1812, 919, 204, 268, 683, 68, 768, 68, 1031, 289, 388, 5975, 7, 204, 268, 1812, 68, 6672, 289, 322, 1166, 5975, 2869, 10336, 204, 204, 268, 314, 3289, 311, 18034, 275, 537, 782, 204, 268, 810, 31, 204, 305, 314, 17253, 275, 537, 782, 204, 305, 5357, 289, 370, 19, 15661, 19, 13118, 13, 804, 68, 768, 68, 1031, 14, 204, 3123, 305, 314, 778, 397, 275, 2641, 919, 4083, 275, 1812, 919, 204, 305, 370, 19, 2978, 13, 6672, 17, 1812, 68, 6672, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 828, 437, 2710, 3459, 17, 2434, 275, 683, 448, 5585, 204, 305, 370, 19, 7639, 13, 75, 7, 29465, 2710, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 497, 4305, 532, 667, 204, 264, 667, 374, 204, 0, 647, 2364, 204, 647, 2010, 448, 645, 204, 647, 13680, 204, 647, 11496, 204, 531, 5920, 532, 7826, 204, 647, 1127, 204, 647, 1437, 204, 531, 29202, 61, 532, 37384, 204, 647, 8775, 204, 204, 676, 20242, 42, 2286, 419, 31, 204, 264, 320, 204, 264, 332, 850, 7029, 348, 39789, 273, 3390, 302, 5829, 11898, 311, 2616, 437, 1964, 19, 204, 204, 264, 1532, 31, 204, 264, 338, 954, 322, 873, 330, 334, 1586, 955, 19, 204, 264, 338, 38666, 31, 334, 38666, 726, 19, 204, 264, 338, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 348, 33174, 19, 204, 264, 338, 11496, 68, 4266, 322, 2539, 330, 334, 11496, 741, 311, 732, 19, 204, 264, 338, 3390, 322, 655, 330, 334, 790, 3390, 302, 11898, 19, 204, 264, 338, 32400, 322, 2644, 330, 334, 32400, 2364, 329, 1163, 11496, 700, 19, 204, 264, 338, 5871, 322, 19327, 10841, 330, 334, 32237, 5871, 19, 204, 264, 338, 32400, 68, 4319, 322, 19941, 330, 334, 7826, 302, 32400, 3703, 19, 204, 264, 338, 2765, 68, 3037, 322, 996, 330, 334, 2765, 1869, 32400, 2279, 19, 204, 264, 338, 2736, 68, 3443, 322, 339, 330, 334, 790, 7513, 1112, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 954, 31, 1135, 17, 38666, 330, 204, 268, 320, 204, 268, 977, 275, 3390, 1417, 11533, 440, 275, 800, 1586, 329, 38666, 19, 204, 204, 268, 457, 31, 204, 268, 338, 954, 322, 873, 330, 334, 1586, 955, 19, 204, 268, 338, 38666, 31, 334, 38666, 726, 19, 204, 268, 320, 204, 268, 370, 19, 1087, 289, 954, 204, 268, 370, 19, 3075, 289, 1437, 19, 3075, 13, 1087, 1166, 3075, 3808, 204, 268, 370, 19, 4056, 1365, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 38666, 204, 268, 370, 19, 14318, 68, 4266, 289, 10175, 13, 14318, 17, 370, 19, 1087, 1166, 14318, 68, 4266, 3808, 204, 268, 370, 19, 8059, 289, 443, 204, 268, 370, 19, 404, 704, 289, 443, 204, 204, 268, 370, 19, 6133, 289, 37384, 13, 865, 19, 546, 19, 1541, 47369, 540, 327, 19, 1087, 1166, 13411, 68, 1217, 2869, 204, 43212, 370, 19, 1087, 1166, 3107, 68, 417, 2869, 8775, 19, 505, 68, 1976, 68, 672, 68, 834, 5887, 204, 268, 370, 19, 404, 704, 68, 4319, 289, 7826, 13, 36762, 34, 327, 19, 1087, 1166, 404, 704, 68, 4319, 68, 2997, 3808, 204, 268, 370, 19, 6222, 68, 3037, 289, 443, 204, 268, 370, 19, 2721, 68, 3443, 289, 368, 204, 204, 264, 436, 906, 1510, 68, 3474, 68, 8059, 13, 327, 17, 5162, 14, 393, 458, 31, 204, 268, 320, 204, 268, 666, 437, 1419, 3390, 302, 11898, 19, 204, 204, 268, 457, 31, 204, 268, 338, 5162, 31, 334, 1964, 726, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 458, 302, 5760, 1174, 275, 2364, 329, 1163, 11496, 700, 19, 204, 268, 320, 204, 268, 314, 666, 273, 458, 302, 11898, 204, 268, 11898, 289, 551, 20537, 13, 4165, 17, 370, 19, 1087, 1166, 4165, 7721, 932, 3808, 13, 327, 19, 1087, 1166, 4165, 31330, 633, 13, 327, 19, 3075, 14, 204, 895, 348, 906, 292, 933, 13, 327, 19, 1087, 1166, 8059, 68, 835, 3808, 66, 204, 822, 268, 314, 4938, 275, 11496, 302, 848, 2364, 204, 268, 407, 6229, 3052, 17, 370, 19, 14318, 68, 4266, 13, 3107, 17, 5422, 17, 370, 19, 3075, 17, 370, 19, 4056, 1365, 602, 348, 5422, 292, 11898, 66, 204, 204, 264, 436, 906, 2206, 68, 8582, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 4685, 311, 275, 32237, 5871, 329, 456, 275, 32400, 3703, 1869, 19, 204, 268, 320, 204, 268, 314, 5230, 275, 790, 32400, 2279, 311, 275, 7826, 204, 268, 370, 19, 404, 704, 68, 4319, 19, 1223, 13, 327, 19, 8059, 64, 21, 1799, 22, 694, 204, 204, 268, 314, 1198, 275, 32400, 3703, 1869, 204, 268, 456, 499, 36941, 31, 2087, 338, 9401, 704, 3703, 1869, 1048, 2087, 15457, 31, 14761, 2478, 13, 327, 19, 2721, 68, 3443, 17, 204, 37056, 485, 370, 19, 1087, 1166, 404, 704, 68, 4319, 68, 2997, 2869, 204, 37056, 485, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 3694, 204, 822, 268, 314, 3400, 275, 32400, 3703, 1869, 311, 275, 32237, 5871, 204, 268, 370, 19, 6133, 19, 826, 68, 17484, 499, 20133, 704, 68, 4319, 68, 3037, 68, 2953, 1859, 6803, 16853, 2948, 2478, 13, 327, 19, 1087, 1166, 404, 704, 68, 4319, 68, 2997, 15100, 204, 18553, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 659, 370, 19, 2721, 68, 3443, 14, 204, 204, 264, 436, 906, 360, 68, 5719, 68, 32865, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 1964, 353, 9900, 19, 204, 204, 268, 475, 31, 204, 268, 338, 959, 397, 275, 1964, 353, 9900, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1869, 32400, 2279, 353, 3114, 1194, 521, 1936, 311, 275, 1869, 2279, 311, 2616, 204, 268, 314, 329, 397, 275, 7826, 302, 32400, 3703, 353, 3101, 204, 268, 407, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 14, 3721, 370, 19, 1087, 1166, 3037, 68, 2224, 68, 633, 68, 15107, 1339, 329, 1245, 13, 327, 19, 404, 704, 68, 4319, 14, 3721, 370, 19, 1087, 1166, 404, 704, 68, 4319, 68, 2997, 1339, 204, 204, 264, 436, 906, 1510, 68, 2715, 68, 14673, 13, 327, 17, 5162, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 275, 1682, 7513, 302, 11898, 19, 204, 204, 268, 457, 31, 204, 268, 338, 5162, 31, 334, 1964, 726, 19, 204, 268, 320, 204, 268, 314, 6993, 275, 3090, 3390, 204, 268, 8154, 68, 8059, 289, 370, 19, 8059, 204, 822, 268, 314, 3055, 731, 286, 2643, 311, 2694, 275, 2765, 2364, 204, 268, 370, 806, 10403, 68, 404, 286, 2643, 13, 3107, 14, 204, 822, 268, 314, 977, 275, 717, 3390, 440, 275, 32400, 2364, 204, 268, 370, 19, 8059, 289, 551, 327, 19, 404, 704, 66, 204, 822, 268, 314, 666, 717, 11898, 560, 6578, 1070, 275, 3090, 3390, 204, 268, 348, 906, 292, 933, 13, 327, 19, 1087, 1166, 8059, 68, 835, 1339, 338, 368, 330, 204, 305, 314, 5988, 273, 1400, 2260, 497, 275, 3090, 3390, 204, 305, 2260, 68, 3443, 289, 645, 19, 2017, 19, 5574, 13, 21, 17, 370, 19, 1087, 1166, 3619, 68, 765, 3808, 204, 305, 2260, 289, 8154, 68, 8059, 64, 3619, 68, 3443, 1799, 21, 66, 204, 3123, 305, 314, 28219, 316, 275, 2260, 311, 838, 273, 1656, 204, 305, 1656, 289, 13680, 19, 15248, 68, 9677, 68, 18659, 13, 3619, 17, 370, 19, 1087, 1166, 9677, 68, 3960, 2869, 370, 19, 3075, 14, 204, 3123, 305, 314, 4938, 275, 11496, 302, 275, 1656, 204, 305, 11496, 68, 577, 289, 370, 19, 14318, 68, 4266, 13, 3107, 17, 1656, 17, 370, 19, 3075, 17, 370, 19, 4056, 1365, 14, 204, 3123, 305, 314, 1255, 275, 1656, 311, 275, 717, 3390, 204, 305, 370, 19, 8059, 19, 1223, 1802, 3858, 17, 11496, 68, 577, 602, 204, 204, 264, 436, 906, 10403, 68, 404, 286, 2643, 13, 327, 17, 5162, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3055, 731, 286, 2643, 311, 2694, 275, 2765, 2364, 19, 204, 204, 268, 457, 31, 204, 268, 338, 5162, 31, 334, 1964, 726, 19, 204, 268, 320, 204, 268, 314, 666, 437, 32400, 5089, 560, 18680, 275, 11496, 302, 848, 2364, 292, 275, 3390, 204, 268, 32400, 68, 5108, 289, 1306, 204, 268, 348, 2260, 292, 370, 19, 8059, 31, 204, 305, 314, 4938, 275, 11496, 302, 275, 2260, 3536, 2666, 204, 305, 1869, 68, 8901, 289, 645, 19, 3037, 1568, 327, 19, 14318, 68, 4266, 13, 3107, 17, 2260, 64, 21, 648, 370, 19, 3075, 17, 370, 19, 4056, 1365, 14, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 22377, 348, 906, 292, 933, 13, 327, 19, 1087, 1166, 404, 704, 68, 15834, 68, 765, 3808, 694, 204, 305, 32400, 68, 5108, 19, 1223, 1802, 3619, 64, 21, 648, 1869, 68, 8901, 602, 204, 204, 268, 314, 4641, 275, 32400, 5089, 292, 9267, 1552, 302, 11496, 204, 268, 32400, 68, 5108, 289, 370, 806, 2975, 68, 8059, 68, 1424, 68, 14318, 13, 404, 704, 68, 5108, 14, 204, 822, 268, 314, 5988, 275, 2765, 2364, 448, 275, 32400, 204, 268, 370, 19, 404, 704, 289, 322, 404, 704, 68, 5108, 64, 21, 1799, 21, 648, 32400, 68, 5108, 64, 21, 1799, 22, 694, 204, 204, 264, 1642, 4460, 204, 264, 436, 906, 2975, 68, 8059, 68, 1424, 68, 14318, 13, 8059, 31, 458, 14, 393, 458, 31, 204, 268, 320, 204, 268, 4641, 275, 3390, 560, 11496, 292, 9267, 1552, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3390, 322, 655, 330, 334, 458, 302, 11898, 329, 1017, 11496, 1019, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 2282, 458, 302, 11898, 329, 1017, 11496, 1019, 19, 204, 268, 320, 204, 268, 314, 4641, 275, 3390, 292, 9267, 1552, 302, 11496, 204, 268, 3390, 19, 2975, 13, 644, 34, 3605, 610, 31, 610, 64, 22, 648, 4036, 34, 1021, 14, 204, 268, 407, 3390, 204, 204, 264, 436, 31060, 13, 327, 17, 5162, 14, 393, 1437, 19, 2606, 19, 3732, 31, 204, 268, 320, 204, 268, 471, 21347, 275, 3390, 3119, 275, 1964, 353, 9900, 19, 204, 204, 268, 457, 31, 204, 268, 338, 5162, 31, 334, 1964, 726, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 2765, 2364, 19, 204, 268, 320, 204, 268, 314, 666, 275, 1419, 3390, 204, 268, 370, 19, 8059, 289, 370, 806, 1510, 68, 3474, 68, 8059, 13, 3107, 14, 204, 822, 268, 1335, 959, 31, 204, 305, 314, 4641, 275, 3390, 292, 9267, 1552, 302, 11496, 204, 305, 370, 19, 8059, 289, 370, 806, 2975, 68, 8059, 68, 1424, 68, 14318, 13, 327, 19, 8059, 14, 204, 204, 305, 314, 3400, 275, 4685, 204, 305, 370, 806, 2206, 68, 8582, 374, 204, 204, 305, 314, 778, 397, 275, 1964, 353, 9900, 204, 305, 397, 370, 806, 360, 68, 5719, 68, 32865, 1293, 204, 485, 456, 499, 11690, 9900, 292, 14761, 2478, 13, 327, 19, 2721, 68, 3443, 602, 204, 485, 2280, 204, 204, 305, 314, 778, 397, 275, 790, 32400, 3703, 1869, 353, 4037, 1194, 275, 2765, 1869, 204, 305, 397, 370, 19, 6222, 68, 3037, 353, 443, 521, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 14, 1323, 370, 19, 6222, 68, 3037, 31, 204, 485, 370, 19, 6222, 68, 3037, 289, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 14, 204, 485, 314, 3025, 275, 790, 2765, 2364, 204, 485, 7974, 68, 1217, 289, 1127, 19, 546, 19, 1541, 47369, 540, 327, 19, 1087, 1166, 9488, 68, 1217, 2869, 370, 19, 1087, 1166, 3107, 68, 417, 3808, 204, 485, 8775, 19, 2360, 68, 1512, 68, 873, 13, 865, 19, 546, 19, 1541, 13, 9488, 68, 1217, 659, 370, 19, 8059, 64, 21, 1799, 21, 1664, 1512, 68, 873, 1447, 204, 204, 305, 314, 666, 275, 1682, 7513, 204, 305, 370, 806, 1510, 68, 2715, 68, 14673, 13, 3107, 14, 204, 305, 370, 19, 2721, 68, 3443, 1412, 368, 204, 204, 268, 314, 455, 275, 2765, 2364, 204, 268, 407, 370, 19, 404, 704, 64, 21, 66, 204, 0, 647, 1875, 204, 647, 2164, 204, 647, 3805, 448, 1246, 204, 531, 10650, 25, 532, 5322, 448, 10650, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 8, 968, 3454, 204, 23915, 9187, 56, 68, 4093, 68, 4617, 289, 891, 23915, 9187, 56, 4093, 4617, 367, 7, 204, 6014, 31894, 4663, 2157, 68, 4093, 68, 4617, 289, 891, 6014, 31894, 4663, 2157, 4093, 4617, 367, 7, 204, 204, 461, 636, 68, 4975, 31713, 730, 68, 481, 13, 1512, 31, 394, 17, 3923, 68, 644, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 4071, 20568, 730, 424, 497, 3594, 26251, 88, 19, 4563, 19, 204, 204, 264, 457, 31, 204, 268, 1259, 322, 325, 330, 7609, 18, 8091, 1259, 24989, 19, 204, 268, 3923, 68, 644, 322, 325, 330, 3594, 26251, 88, 1893, 896, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 43367, 730, 424, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 275, 824, 4737, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 1779, 289, 283, 7, 1942, 1963, 4537, 19, 760, 2619, 2827, 88, 19, 4563, 20, 2005, 24605, 1939, 34, 505, 5274, 28982, 81, 2471, 11, 359, 2508, 1512, 14329, 41559, 2508, 2005, 68, 644, 14329, 1420, 34, 1775, 7, 204, 615, 264, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 264, 810, 31, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 264, 827, 2164, 19, 5678, 19, 6866, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 20568, 730, 424, 31, 463, 74, 743, 204, 204, 264, 314, 2735, 275, 2084, 958, 204, 264, 407, 958, 19, 1775, 374, 204, 204, 461, 636, 68, 12659, 68, 481, 13, 12659, 68, 359, 31, 394, 17, 3923, 68, 644, 31, 394, 17, 6596, 31, 421, 289, 11794, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 4071, 6963, 424, 497, 3594, 26251, 88, 19, 4563, 19, 204, 204, 264, 457, 31, 204, 268, 6963, 68, 359, 322, 325, 330, 35902, 1222, 19, 204, 268, 3923, 68, 644, 322, 325, 330, 3594, 26251, 88, 1893, 896, 19, 204, 268, 6596, 322, 339, 17, 1448, 330, 48912, 6596, 19, 1243, 311, 11794, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 35902, 424, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 275, 824, 4737, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 1779, 289, 283, 7, 1942, 1963, 4537, 19, 760, 2619, 2827, 88, 19, 4563, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20, 2005, 24605, 1939, 34, 24119, 19327, 11, 19821, 2508, 12659, 68, 359, 14329, 10057, 2508, 10057, 14329, 41559, 2508, 2005, 68, 644, 14329, 1420, 34, 1775, 7, 204, 615, 264, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 264, 810, 31, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 264, 827, 2164, 19, 5678, 19, 6866, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 6963, 424, 31, 463, 74, 743, 204, 204, 264, 314, 2735, 275, 2084, 958, 204, 264, 407, 958, 19, 1775, 374, 204, 204, 461, 636, 68, 25904, 276, 68, 481, 13, 12659, 68, 359, 31, 394, 17, 3923, 68, 644, 31, 394, 17, 6596, 31, 421, 289, 11794, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 4071, 27183, 424, 497, 3594, 26251, 88, 19, 4563, 19, 204, 204, 264, 457, 31, 204, 268, 6963, 68, 359, 322, 325, 330, 35902, 1222, 19, 204, 268, 3923, 68, 644, 322, 325, 330, 3594, 26251, 88, 1893, 896, 19, 204, 268, 6596, 322, 339, 17, 1448, 330, 48912, 6596, 19, 1243, 311, 11794, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 852, 1052, 276, 424, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 275, 824, 4737, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 1779, 289, 283, 7, 3189, 1963, 4537, 19, 760, 2619, 2827, 88, 19, 4563, 20, 2005, 24605, 1939, 34, 24119, 1046, 4505, 11, 19821, 2508, 12659, 68, 359, 14329, 10057, 2508, 10057, 14329, 41559, 2508, 2005, 68, 644, 14329, 1420, 34, 1775, 7, 204, 615, 264, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 264, 810, 31, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 264, 827, 2164, 19, 5678, 19, 6866, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 27183, 424, 31, 463, 74, 743, 204, 204, 264, 314, 2735, 275, 2084, 958, 204, 264, 407, 958, 19, 1775, 374, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 1893, 896, 497, 275, 575, 521, 1964, 1554, 204, 264, 1451, 21894, 68, 2005, 68, 644, 289, 537, 499, 2101, 1214, 3594, 26251, 88, 1893, 896, 31, 2810, 204, 204, 264, 314, 763, 275, 1259, 497, 275, 575, 204, 264, 1259, 289, 537, 499, 2101, 970, 18, 8091, 1259, 24989, 31, 2810, 204, 204, 264, 314, 4491, 20568, 730, 424, 204, 264, 810, 31, 204, 268, 20568, 730, 68, 481, 289, 636, 68, 4975, 31713, 730, 68, 481, 13, 1512, 17, 1451, 21894, 68, 2005, 68, 644, 14, 204, 268, 456, 499, 5274, 28982, 81, 730, 1594, 2212, 204, 268, 456, 13, 1775, 19, 7362, 13, 4975, 31713, 730, 68, 481, 17, 8851, 34, 25, 602, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 314, 4491, 6963, 424, 204, 264, 6963, 68, 359, 289, 537, 499, 2101, 6963, 1222, 31, 2810, 204, 264, 810, 31, 204, 268, 6963, 68, 481, 289, 636, 68, 12659, 68, 481, 13, 12659, 68, 359, 17, 1451, 21894, 68, 2005, 68, 644, 14, 204, 268, 456, 499, 39847, 1594, 2212, 204, 268, 456, 13, 1775, 19, 7362, 13, 12659, 68, 481, 17, 8851, 34, 25, 602, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 314, 4491, 27183, 424, 204, 264, 810, 31, 204, 268, 27183, 68, 481, 289, 636, 68, 25904, 276, 68, 481, 13, 12659, 68, 359, 17, 1451, 21894, 68, 2005, 68, 644, 14, 204, 268, 456, 499, 1046, 1052, 276, 1594, 2212, 204, 268, 456, 13, 1775, 19, 7362, 13, 25904, 276, 68, 481, 17, 8851, 34, 25, 602, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 531, 12468, 26, 532, 16333, 17, 12234, 17, 6349, 204, 204, 676, 32020, 7096, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 275, 9166, 348, 273, 8320, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 32020, 7096, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 12144, 289, 443, 204, 204, 264, 436, 3219, 68, 3802, 13, 327, 17, 8320, 31, 6349, 19, 29526, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 719, 275, 9166, 348, 275, 8320, 19, 204, 204, 268, 457, 31, 204, 305, 8320, 322, 11540, 19, 29526, 330, 334, 8320, 311, 758, 719, 19, 204, 268, 320, 204, 268, 370, 19, 12144, 289, 8320, 204, 268, 370, 806, 5666, 68, 12144, 374, 204, 268, 370, 806, 5666, 68, 4478, 374, 204, 204, 264, 436, 906, 5666, 68, 12144, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 719, 275, 8320, 3564, 19, 204, 268, 320, 204, 268, 314, 1359, 719, 8320, 3564, 204, 268, 370, 19, 12144, 19, 13115, 499, 12987, 431, 204, 268, 370, 19, 12144, 19, 9522, 13, 27, 5091, 17, 42440, 14, 204, 204, 264, 436, 906, 5666, 68, 4478, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 719, 275, 5328, 348, 275, 8320, 19, 204, 268, 320, 204, 268, 314, 666, 273, 2333, 5328, 204, 268, 2333, 68, 4478, 289, 6349, 19, 46816, 13, 327, 19, 12144, 14, 204, 268, 2333, 68, 4478, 19, 13115, 499, 2700, 8110, 431, 204, 822, 268, 314, 666, 273, 5954, 5328, 204, 268, 5954, 68, 4478, 289, 370, 806, 5666, 68, 13438, 68, 4478, 374, 204, 268, 2333, 68, 4478, 19, 33364, 13, 13438, 68, 4478, 17, 500, 17, 500, 17, 368, 17, 368, 14, 204, 204, 268, 314, 666, 273, 798, 5328, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 374, 204, 268, 4514, 289, 12234, 19, 35463, 374, 204, 268, 4514, 19, 574, 27079, 499, 5200, 36584, 3983, 403, 431, 204, 268, 4514, 19, 574, 6661, 8654, 13, 1909, 14, 204, 268, 1007, 68, 7451, 19, 33425, 13, 6823, 14, 204, 268, 407, 1007, 68, 7451, 204, 204, 264, 436, 906, 1510, 68, 18847, 68, 2036, 13, 327, 14, 393, 6349, 19, 24198, 6406, 6754, 31, 204, 268, 320, 204, 268, 2605, 273, 12984, 2871, 19, 204, 204, 268, 475, 31, 204, 305, 6349, 19, 24198, 6406, 6754, 31, 334, 1966, 12984, 2871, 19, 204, 268, 320, 204, 268, 12984, 68, 2036, 289, 6349, 19, 24198, 6406, 6754, 374, 204, 268, 4514, 289, 12234, 19, 35463, 374, 204, 268, 4514, 19, 574, 27079, 499, 5200, 36584, 3983, 403, 431, 204, 268, 4514, 19, 574, 6661, 8654, 13, 1909, 14, 204, 268, 12984, 68, 2036, 19, 33425, 13, 6823, 14, 204, 268, 407, 12984, 68, 2036, 204, 204, 264, 436, 906, 1510, 68, 12949, 68, 18847, 68, 2036, 13, 327, 14, 393, 6349, 19, 54, 24844, 38154, 6754, 31, 204, 268, 320, 204, 268, 2605, 273, 6246, 12984, 2871, 19, 204, 204, 268, 475, 31, 204, 305, 6349, 19, 54, 24844, 38154, 6754, 31, 334, 1966, 6246, 12984, 2871, 19, 204, 268, 320, 204, 268, 6246, 68, 18847, 68, 2036, 289, 6349, 19, 54, 24844, 38154, 6754, 374, 204, 268, 4514, 289, 12234, 19, 35463, 374, 204, 268, 4514, 19, 574, 27079, 499, 5200, 36584, 3983, 403, 431, 204, 268, 4514, 19, 574, 6661, 8654, 13, 1909, 14, 204, 268, 6246, 68, 18847, 68, 2036, 19, 33425, 13, 6823, 14, 204, 268, 407, 6246, 68, 18847, 68, 2036, 204, 204, 264, 436, 48493, 68, 3802, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 445, 795, 81, 675, 275, 9166, 348, 275, 8320, 19, 204, 268, 320, 204, 268, 906, 11762, 289, 16333, 19, 54, 48672, 19, 11762, 204, 268, 370, 19, 12144, 19, 25071, 9705, 11762, 499, 12987, 528, 388, 12987, 3687, 204, 268, 314, 1255, 18936, 348, 904, 13085, 3237, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 2454, 204, 264, 740, 289, 6349, 19, 20909, 13, 4807, 19, 4983, 14, 204, 264, 8320, 289, 6349, 19, 29526, 374, 204, 264, 18185, 289, 32020, 7096, 374, 204, 264, 18185, 19, 5666, 68, 3802, 13, 12144, 14, 204, 264, 8320, 19, 2896, 374, 204, 264, 2454, 19, 4555, 13, 748, 19, 5472, 19256, 204, 0, 13359, 10847, 27096, 4035, 37673, 42806, 13345, 44291, 7392, 28286, 17862, 460, 21268, 12999, 990, 44291, 10382, 14365, 1001, 3304, 1404, 121, 1843, 41637, 31738, 408, 1191, 3004, 1572, 4136, 3283, 6977, 19295, 18084, 17136, 39360, 12298, 1955, 725, 11042, 723, 115, 18518, 39360, 3941, 1955, 725, 7544, 1175, 243, 42099, 39360, 7238, 3028, 5958, 4268, 3491, 41637, 9006, 1227, 24644, 9216, 9006, 568, 204, 15687, 11254, 1638, 831, 2903, 44180, 2544, 20743, 408, 9141, 1367, 8070, 6977, 6429, 10382, 6325, 10120, 460, 18673, 408, 5718, 10366, 6390, 13295, 568, 5182, 942, 41637, 15932, 725, 37154, 4276, 4384, 40334, 3606, 568, 204, 5928, 7821, 11332, 7544, 8960, 42099, 8075, 17437, 1638, 24022, 725, 1002, 47673, 27102, 854, 6977, 19865, 12453, 568, 4623, 10536, 21344, 408, 1843, 3774, 1456, 5643, 23047, 8208, 2253, 8561, 8275, 408, 16535, 6829, 6226, 3865, 3283, 21365, 9352, 38795, 12256, 17486, 3058, 3038, 46802, 13561, 1398, 408, 1970, 7965, 2494, 3500, 47825, 568, 11042, 723, 115, 18518, 8075, 2494, 1550, 11329, 15208, 20429, 33658, 408, 11746, 6899, 47906, 7413, 33243, 2638, 408, 3994, 16785, 1886, 11597, 11135, 2382, 14328, 408, 19295, 18084, 17136, 1886, 9177, 6614, 1345, 27750, 40412, 408, 8241, 42109, 568, 204, 6573, 6977, 38859, 1398, 7059, 44837, 19582, 408, 38966, 3865, 3380, 1505, 17411, 21550, 4296, 10943, 16847, 6522, 725, 19769, 17717, 10984, 2211, 243, 1002, 2093, 568, 19295, 18084, 17136, 2853, 9157, 1572, 831, 8728, 13764, 9969, 33232, 7533, 408, 3038, 7756, 1572, 3977, 9238, 408, 1970, 24944, 6899, 17955, 6540, 10961, 14635, 5643, 29207, 15184, 1002, 1990, 725, 21331, 10011, 41527, 3468, 8088, 1955, 8383, 4304, 7217, 568, 204, 32868, 4384, 7059, 9850, 13679, 11104, 568, 6977, 3064, 1572, 42079, 30524, 6326, 2094, 1531, 11254, 460, 18207, 568, 7544, 8960, 42099, 2853, 31, 1622, 10435, 6713, 7059, 3796, 2781, 408, 6977, 31242, 1456, 21791, 6713, 14391, 11369, 2860, 14328, 2675, 2494, 17062, 408, 3038, 1886, 7965, 10435, 12673, 408, 27402, 44973, 17678, 460, 16135, 6540, 14464, 3004, 2544, 4224, 1674, 21331, 46697, 6977, 13604, 1524, 4772, 17678, 408, 7544, 8960, 42099, 5643, 854, 5299, 37680, 408, 1773, 3178, 2356, 5186, 408, 13470, 1970, 2675, 12350, 568, 204, 2253, 4587, 30741, 1398, 17955, 870, 228, 5753, 241, 7059, 6371, 14168, 408, 11790, 2807, 2494, 725, 4795, 6122, 6899, 15588, 22015, 17640, 408, 17717, 16338, 11753, 3675, 30741, 10536, 2411, 5851, 7292, 5851, 10364, 568, 14407, 3865, 22379, 2455, 22379, 921, 1843, 3774, 2426, 7594, 408, 2891, 41637, 12165, 3419, 3841, 725, 2034, 3031, 1955, 12976, 25126, 29360, 2034, 13679, 6290, 1398, 408, 22379, 2455, 1970, 28560, 44544, 568, 7544, 8960, 42099, 2853, 9157, 22379, 2455, 2657, 23398, 14117, 12673, 26994, 6540, 7544, 1175, 243, 42099, 15830, 1886, 33297, 9157, 4268, 3491, 41637, 36626, 5873, 1789, 6245, 14269, 408, 17678, 1398, 11583, 4265, 3730, 1811, 6540, 204, 7544, 8960, 42099, 2853, 9157, 1527, 8221, 40696, 20183, 5812, 10886, 33585, 408, 5643, 35151, 1456, 32463, 6817, 27312, 19912, 568, 24937, 2678, 12515, 1111, 408, 2657, 10852, 3601, 12673, 568, 6049, 6977, 5643, 10435, 8383, 45549, 16535, 408, 1970, 21550, 4296, 38700, 1111, 6540, 25669, 16806, 1951, 27901, 11273, 460, 9674, 408, 4987, 9141, 6977, 6899, 14034, 19912, 568, 0, 647, 11055, 204, 531, 424, 532, 40208, 9856, 989, 204, 531, 570, 532, 3300, 32598, 14860, 93, 204, 531, 8813, 532, 3505, 72, 12342, 8654, 204, 531, 860, 2539, 532, 3300, 32598, 7555, 17, 949, 68, 81, 23, 68, 5477, 68, 718, 204, 531, 11136, 532, 32634, 1110, 53, 812, 10560, 20613, 17, 47984, 56, 486, 14978, 20613, 204, 204, 461, 7575, 68, 23369, 68, 2004, 68, 32363, 68, 481, 13, 204, 264, 771, 68, 4077, 31, 421, 17, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 314, 666, 32634, 1110, 30338, 10560, 11136, 204, 264, 308, 276, 1110, 68, 22179, 10560, 68, 20099, 289, 32634, 1110, 53, 812, 10560, 20613, 13, 204, 268, 2658, 68, 2816, 34, 2230, 68, 2816, 17, 2658, 68, 11684, 93, 34, 2230, 68, 11684, 93, 17, 5746, 34, 9210, 204, 264, 1179, 204, 204, 264, 314, 1716, 3326, 917, 204, 264, 3326, 68, 1096, 289, 308, 276, 1110, 68, 22179, 10560, 68, 20099, 19, 2045, 68, 7025, 68, 1096, 13, 204, 268, 265, 68, 1155, 34, 2394, 68, 997, 83, 17, 204, 268, 424, 34, 481, 68, 997, 83, 17, 204, 268, 279, 36981, 204, 268, 3265, 68, 668, 34, 1637, 3493, 68, 9210, 68, 655, 17, 204, 268, 3265, 68, 2451, 27875, 204, 264, 1179, 204, 264, 407, 3326, 68, 1096, 204, 204, 204, 461, 951, 68, 2115, 32598, 68, 11684, 93, 68, 541, 30861, 13, 204, 264, 6941, 68, 997, 83, 17, 424, 68, 997, 83, 17, 2658, 68, 2816, 31, 421, 17, 2658, 68, 11684, 93, 31, 421, 17, 5746, 31, 421, 204, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 2672, 3300, 32598, 40292, 974, 33492, 1216, 19, 204, 204, 264, 4435, 31, 204, 264, 6941, 68, 997, 83, 31, 7502, 2072, 19, 204, 264, 424, 68, 997, 83, 31, 7502, 424, 19, 204, 264, 2658, 68, 2816, 322, 339, 330, 3239, 302, 5150, 302, 275, 10781, 2817, 19, 204, 264, 2658, 68, 11684, 93, 322, 339, 330, 3239, 302, 5150, 302, 275, 3300, 32598, 40292, 19, 204, 264, 5746, 322, 339, 330, 6259, 5746, 302, 3300, 32598, 40292, 21364, 19, 204, 204, 264, 475, 31, 204, 264, 1135, 31, 11920, 917, 302, 275, 3300, 32598, 40292, 19, 204, 264, 320, 204, 264, 314, 888, 42856, 5746, 458, 204, 264, 42856, 68, 9210, 68, 655, 289, 458, 13, 7937, 32598, 7555, 13, 2230, 34, 2230, 68, 11684, 93, 17, 32197, 34, 9210, 602, 204, 204, 264, 314, 666, 33492, 20984, 11136, 204, 264, 33492, 68, 36332, 68, 20099, 289, 47984, 56, 486, 14978, 20613, 13, 204, 268, 2658, 68, 2816, 34, 2230, 68, 2816, 17, 2658, 68, 11684, 93, 34, 2230, 68, 11684, 93, 17, 5746, 34, 9210, 204, 264, 1179, 204, 204, 264, 314, 1716, 3326, 917, 204, 264, 3326, 68, 1096, 289, 33492, 68, 36332, 68, 20099, 19, 2045, 68, 7025, 68, 1096, 13, 204, 268, 265, 68, 873, 34, 2394, 68, 997, 83, 17, 204, 268, 424, 68, 873, 34, 481, 68, 997, 83, 17, 204, 268, 279, 36981, 204, 268, 3265, 68, 668, 34, 1637, 3493, 68, 9210, 68, 655, 17, 204, 268, 3265, 68, 2451, 27875, 204, 264, 1179, 204, 264, 407, 3326, 68, 1096, 204, 204, 204, 461, 919, 68, 2826, 13, 204, 264, 1563, 68, 1217, 31, 394, 17, 204, 264, 771, 68, 4077, 31, 421, 17, 204, 264, 5746, 31, 421, 17, 204, 264, 2658, 68, 2816, 31, 421, 17, 204, 264, 2658, 68, 11684, 93, 31, 421, 17, 204, 264, 9115, 31, 818, 17, 204, 264, 1216, 31, 394, 17, 204, 264, 4257, 31, 421, 17, 204, 264, 5163, 68, 8530, 31, 421, 17, 204, 264, 317, 23, 68, 17229, 31, 818, 17, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3215, 1563, 311, 273, 10044, 510, 19, 204, 204, 264, 4435, 31, 204, 264, 1563, 68, 1217, 322, 325, 330, 12985, 311, 919, 1563, 19, 204, 264, 771, 68, 4077, 322, 339, 330, 3239, 302, 1672, 1728, 311, 444, 6020, 19, 204, 264, 5746, 322, 339, 330, 6259, 5746, 302, 3300, 32598, 40292, 21364, 19, 204, 264, 2658, 68, 2816, 322, 339, 330, 3239, 302, 5150, 302, 275, 10781, 2817, 19, 204, 264, 2658, 68, 11684, 93, 322, 339, 330, 3239, 302, 5150, 302, 275, 3300, 32598, 40292, 19, 204, 264, 9115, 322, 996, 330, 12155, 302, 6063, 19, 204, 264, 1216, 322, 325, 330, 6339, 311, 732, 4401, 11891, 1110, 7, 521, 388, 541, 30861, 5561, 204, 264, 4257, 322, 339, 330, 7052, 4257, 19, 204, 264, 5163, 68, 8530, 322, 339, 330, 46698, 8813, 6684, 5168, 19, 204, 264, 317, 23, 68, 17229, 322, 996, 330, 480, 23, 4190, 302, 275, 3300, 32598, 40292, 19, 204, 264, 320, 204, 264, 314, 666, 2557, 955, 204, 264, 2557, 289, 463, 204, 268, 388, 920, 68, 4077, 559, 771, 68, 4077, 17, 204, 268, 388, 9210, 559, 5746, 17, 204, 268, 388, 2230, 68, 2816, 559, 2658, 68, 2816, 17, 204, 268, 388, 2230, 68, 11684, 93, 559, 2658, 68, 11684, 93, 17, 204, 268, 388, 8456, 559, 9115, 17, 204, 268, 388, 1939, 559, 1216, 17, 204, 268, 388, 5273, 559, 4257, 17, 204, 268, 388, 5189, 68, 8530, 559, 5163, 68, 8530, 17, 204, 264, 1211, 204, 204, 264, 314, 666, 1563, 955, 204, 264, 1563, 289, 2832, 81, 23, 68, 17229, 559, 11465, 31, 26, 42, 14303, 2478, 13, 81, 23, 68, 17229, 4150, 204, 204, 264, 314, 666, 919, 955, 204, 264, 919, 289, 2832, 2826, 559, 1563, 17, 388, 3282, 559, 2557, 98, 204, 204, 264, 314, 666, 10044, 2049, 204, 264, 469, 1368, 68, 2029, 289, 322, 204, 268, 283, 1954, 2826, 68, 1217, 46694, 204, 268, 283, 7, 2230, 68, 11684, 93, 19391, 2230, 68, 11684, 93, 6803, 7, 204, 268, 283, 7, 2230, 68, 2816, 19391, 2230, 68, 2816, 6803, 7, 204, 268, 283, 7, 9210, 19391, 9210, 6803, 7, 204, 268, 283, 7, 920, 68, 4077, 19391, 920, 68, 4077, 6803, 7, 204, 268, 283, 7, 1939, 19391, 1939, 6803, 7, 204, 268, 283, 7, 5189, 68, 8530, 19391, 5189, 68, 8530, 6803, 7, 204, 268, 283, 7, 5273, 19391, 5273, 3572, 20755, 7, 204, 264, 1179, 204, 204, 264, 314, 3400, 919, 311, 10044, 510, 204, 264, 440, 1451, 13, 20755, 68, 2029, 17, 388, 92, 431, 448, 510, 31, 204, 268, 11055, 19, 4573, 13, 1420, 17, 510, 17, 1540, 68, 2788, 68, 4007, 34, 1975, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 7575, 68, 23369, 68, 2004, 68, 32363, 68, 481, 13, 204, 268, 771, 68, 4077, 34, 2051, 17, 204, 268, 5746, 34, 23, 17, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 268, 2658, 68, 2816, 34, 24, 17, 204, 268, 2658, 68, 11684, 93, 34, 23, 17, 204, 268, 9115, 34, 21, 19, 22, 17, 204, 268, 1216, 1022, 11891, 1110, 528, 204, 268, 4257, 34, 5820, 17, 204, 268, 1563, 68, 1217, 1022, 2826, 528, 204, 264, 1179, 204, 0, 531, 10271, 532, 3207, 204, 647, 1559, 13188, 204, 647, 1559, 13188, 19, 3751, 375, 204, 647, 1361, 204, 204, 8, 6153, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 17, 1883, 10730, 8592, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 534, 204, 204, 461, 636, 68, 6772, 68, 13188, 68, 7010, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 273, 458, 302, 2755, 26146, 7807, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 2755, 26146, 7807, 19, 204, 264, 320, 204, 264, 314, 763, 2755, 26146, 7807, 974, 1559, 13188, 204, 264, 407, 1559, 13188, 19, 505, 68, 6772, 68, 7010, 374, 204, 204, 461, 2694, 68, 13188, 68, 9747, 13, 6772, 68, 7010, 31, 458, 14, 393, 1559, 13188, 19, 57, 301, 27590, 31, 204, 264, 320, 204, 264, 27148, 275, 1043, 2755, 26146, 5910, 19, 204, 204, 264, 457, 31, 204, 268, 2755, 68, 7010, 322, 655, 330, 332, 458, 302, 2755, 26146, 7807, 19, 204, 204, 264, 475, 31, 204, 268, 1559, 13188, 19, 57, 301, 27590, 31, 334, 1043, 2755, 26146, 5910, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 1236, 26146, 5910, 353, 1193, 19, 204, 264, 320, 204, 264, 314, 778, 397, 1422, 529, 1169, 2755, 7807, 204, 264, 397, 508, 2755, 68, 7010, 31, 204, 268, 1361, 19, 718, 499, 3882, 26146, 5910, 1193, 431, 204, 268, 980, 987, 499, 3882, 26146, 5910, 1193, 431, 204, 264, 314, 5988, 275, 1043, 2755, 5910, 204, 264, 407, 2755, 68, 7010, 64, 21, 66, 204, 204, 461, 2811, 68, 13188, 13, 935, 68, 546, 31, 394, 17, 15972, 31, 394, 17, 5910, 31, 1559, 13188, 19, 57, 301, 27590, 14, 393, 394, 31, 204, 264, 320, 204, 264, 9715, 26146, 523, 437, 752, 974, 275, 4285, 5910, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 268, 15972, 322, 325, 330, 334, 3269, 302, 275, 1068, 292, 275, 752, 19, 204, 268, 5910, 322, 948, 13188, 19, 57, 301, 27590, 330, 334, 26146, 5910, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4989, 1068, 497, 275, 752, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 437, 908, 3459, 1882, 26146, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 752, 974, 10271, 204, 268, 440, 3207, 19, 3664, 13, 935, 68, 546, 14, 448, 752, 31, 204, 305, 314, 3055, 26146, 974, 275, 4285, 5910, 204, 305, 24238, 289, 5910, 19, 935, 68, 633, 68, 1031, 13, 204, 485, 752, 17, 204, 485, 15972, 34, 12084, 17, 204, 485, 13513, 34, 948, 13188, 19, 3751, 375, 19, 3430, 12201, 374, 204, 305, 1179, 204, 305, 407, 24238, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 304, 18, 4952, 490, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 3129, 1882, 26146, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 752, 832, 329, 3269, 204, 264, 752, 68, 546, 289, 5014, 10669, 20, 530, 20375, 12005, 20, 18836, 20, 804, 23, 19, 4955, 12, 204, 264, 15972, 289, 379, 697, 12, 204, 615, 264, 810, 31, 204, 268, 314, 763, 2755, 26146, 7807, 204, 268, 2755, 68, 7010, 289, 636, 68, 6772, 68, 13188, 68, 7010, 374, 204, 268, 314, 5988, 275, 1043, 2755, 5910, 204, 268, 5910, 289, 2694, 68, 13188, 68, 9747, 13, 6772, 68, 7010, 14, 204, 268, 314, 3055, 26146, 204, 268, 722, 289, 2811, 68, 13188, 13, 935, 68, 546, 17, 15972, 17, 5910, 14, 204, 268, 314, 1198, 275, 722, 204, 268, 1361, 19, 1270, 13, 1300, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 1061, 17, 783, 204, 204, 531, 283, 863, 339, 19, 2555, 532, 778, 3295, 17, 778, 56, 1826, 516, 17, 778, 5725, 204, 531, 283, 863, 339, 19, 809, 19, 13933, 532, 592, 39724, 2940, 17, 2416, 20070, 17, 636, 68, 1668, 68, 1424, 68, 417, 17, 636, 68, 898, 68, 1424, 68, 417, 204, 204, 676, 9182, 1046, 5767, 13, 5995, 3295, 330, 204, 264, 320, 204, 264, 332, 1356, 496, 830, 14542, 529, 4851, 329, 874, 19686, 3003, 329, 7505, 19, 204, 204, 264, 1058, 1356, 16698, 496, 848, 2054, 292, 275, 570, 353, 4851, 311, 273, 1097, 1029, 4781, 329, 2054, 19, 204, 264, 1547, 1425, 5377, 496, 275, 2054, 3003, 329, 7505, 529, 19686, 19, 204, 264, 320, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 36033, 13, 4621, 14, 393, 1061, 64, 325, 17, 778, 56, 1826, 516, 744, 204, 268, 320, 204, 268, 475, 275, 20206, 7758, 560, 808, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 4707, 4634, 1987, 311, 1017, 3310, 3681, 1291, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 388, 898, 18, 1551, 18, 9372, 559, 778, 56, 1826, 516, 19, 20961, 17, 204, 305, 388, 7976, 18, 2170, 18, 8264, 18, 266, 18, 2602, 559, 778, 56, 1826, 516, 19, 8252, 17, 204, 305, 388, 7976, 18, 2170, 18, 898, 18, 266, 18, 2602, 559, 778, 56, 1826, 516, 19, 8252, 17, 204, 305, 388, 7976, 18, 809, 18, 37263, 559, 778, 56, 1826, 516, 19, 8252, 17, 204, 305, 388, 31448, 299, 18, 898, 18, 3813, 18, 266, 18, 2602, 559, 778, 56, 1826, 516, 19, 8252, 17, 204, 305, 388, 31448, 299, 18, 898, 18, 18610, 18, 266, 18, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2602, 559, 778, 56, 1826, 516, 19, 8252, 204, 268, 1211, 204, 204, 264, 436, 906, 2555, 68, 898, 68, 2602, 13, 327, 17, 722, 31, 778, 5725, 17, 570, 31, 2416, 20070, 17, 4781, 17, 2054, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 2054, 353, 4851, 311, 273, 1097, 1029, 4781, 329, 2054, 19, 204, 204, 268, 457, 31, 204, 305, 722, 31, 334, 1356, 722, 311, 1395, 440, 1169, 3490, 1193, 19, 204, 305, 570, 31, 334, 18681, 570, 2545, 13860, 19, 204, 305, 4781, 31, 334, 4781, 496, 23672, 275, 2054, 19, 204, 305, 2054, 31, 334, 2054, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 763, 275, 1029, 4781, 588, 497, 275, 2054, 204, 268, 1029, 68, 1668, 68, 417, 289, 2054, 19, 505, 68, 2170, 68, 1668, 374, 204, 268, 397, 508, 1029, 68, 1668, 68, 417, 31, 204, 305, 314, 828, 275, 2054, 353, 508, 4851, 17, 881, 273, 1844, 311, 275, 722, 204, 305, 722, 19, 826, 68, 9861, 499, 898, 18, 1551, 18, 9372, 528, 388, 360, 508, 4851, 528, 570, 17, 4781, 17, 2054, 14, 204, 305, 407, 204, 204, 268, 810, 31, 204, 305, 314, 763, 275, 1029, 4781, 497, 275, 570, 204, 305, 1029, 68, 1668, 289, 636, 68, 1668, 68, 1424, 68, 417, 13, 809, 17, 1029, 68, 1668, 68, 417, 14, 204, 305, 397, 1029, 68, 1668, 353, 443, 31, 204, 485, 314, 828, 275, 1029, 4781, 1583, 508, 1337, 17, 881, 273, 1844, 311, 275, 722, 204, 485, 722, 19, 826, 68, 9861, 499, 7976, 18, 2170, 18, 8264, 18, 266, 18, 2602, 528, 204, 22377, 283, 7, 9372, 311, 1950, 18, 16267, 4781, 463, 2170, 68, 1668, 68, 417, 7068, 204, 22377, 570, 17, 4781, 17, 2054, 14, 204, 485, 407, 204, 204, 305, 314, 763, 275, 1029, 2054, 497, 275, 1029, 4781, 204, 305, 1029, 68, 898, 289, 636, 68, 898, 68, 1424, 68, 417, 13, 2170, 68, 1668, 17, 2054, 19, 505, 68, 2170, 68, 898, 2144, 2054, 19, 505, 68, 2170, 68, 920, 1447, 204, 305, 397, 1029, 68, 898, 353, 443, 521, 1029, 68, 898, 19, 505, 68, 1129, 68, 1190, 374, 353, 443, 31, 204, 485, 314, 828, 275, 1029, 2054, 1583, 508, 1337, 521, 869, 1236, 846, 542, 17, 881, 273, 1844, 311, 275, 722, 204, 485, 722, 19, 826, 68, 9861, 499, 7976, 18, 2170, 18, 898, 18, 266, 18, 2602, 528, 204, 22377, 283, 7, 9372, 311, 1950, 18, 16267, 2054, 463, 2170, 68, 1668, 19, 505, 68, 417, 374, 15999, 898, 19, 505, 68, 2170, 68, 898, 374, 10829, 898, 19, 505, 68, 2170, 68, 920, 374, 7068, 204, 22377, 570, 17, 4781, 17, 2054, 14, 204, 485, 407, 204, 204, 305, 314, 763, 275, 846, 542, 302, 275, 1029, 2054, 204, 305, 846, 68, 920, 289, 368, 397, 1029, 68, 898, 19, 505, 68, 1129, 68, 1190, 374, 353, 443, 902, 421, 13, 2170, 68, 898, 19, 505, 68, 1129, 68, 1190, 1447, 204, 305, 397, 846, 68, 920, 2186, 2054, 19, 505, 68, 2170, 68, 920, 1293, 204, 485, 314, 828, 275, 1029, 2054, 542, 10472, 275, 846, 542, 17, 881, 273, 1844, 311, 275, 722, 204, 485, 722, 19, 826, 68, 9861, 499, 7976, 18, 2170, 18, 898, 18, 266, 18, 2602, 528, 204, 22377, 283, 7, 9372, 311, 1950, 18, 16267, 2054, 463, 2170, 68, 1668, 19, 505, 68, 417, 374, 15999, 898, 19, 505, 68, 2170, 68, 898, 374, 10829, 898, 19, 505, 68, 2170, 68, 920, 374, 3572, 9076, 31, 2931, 12770, 8354, 528, 204, 22377, 570, 17, 4781, 17, 2054, 14, 204, 485, 407, 204, 268, 827, 592, 39724, 2940, 448, 6926, 31, 204, 305, 314, 828, 437, 292, 39724, 2710, 3459, 17, 881, 273, 1844, 311, 275, 722, 204, 305, 722, 19, 826, 68, 9861, 499, 7976, 18, 809, 18, 37263, 528, 394, 13, 13758, 602, 204, 305, 407, 204, 204, 268, 314, 778, 275, 2054, 3003, 329, 7505, 204, 268, 370, 806, 2555, 68, 898, 68, 3813, 68, 416, 68, 18610, 13, 1300, 17, 570, 17, 4781, 17, 2054, 17, 1029, 68, 1668, 17, 1029, 68, 898, 14, 204, 204, 264, 436, 906, 2555, 68, 898, 68, 3813, 68, 416, 68, 18610, 13, 327, 17, 722, 31, 778, 5725, 17, 570, 31, 2416, 20070, 17, 4781, 17, 2054, 17, 1029, 68, 1668, 17, 1029, 68, 898, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4191, 397, 275, 2054, 3003, 329, 7505, 529, 19686, 19, 204, 204, 268, 457, 31, 204, 305, 722, 31, 334, 1356, 722, 311, 1395, 440, 1169, 3490, 1193, 19, 204, 305, 570, 31, 334, 18681, 570, 2545, 13860, 19, 204, 305, 4781, 31, 334, 4781, 496, 23672, 275, 2054, 19, 204, 305, 2054, 31, 334, 2054, 311, 1356, 19, 204, 305, 1029, 68, 1668, 31, 334, 1029, 4781, 19, 204, 305, 1029, 68, 898, 31, 334, 1029, 2054, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2054, 3003, 529, 19686, 204, 268, 397, 508, 322, 898, 19, 505, 68, 932, 374, 564, 388, 4693, 7, 521, 1029, 68, 898, 19, 505, 68, 932, 374, 564, 388, 4693, 7, 521, 2054, 19, 505, 68, 932, 374, 564, 1029, 68, 898, 19, 505, 68, 932, 13077, 204, 305, 314, 828, 275, 2054, 3003, 529, 508, 19686, 17, 881, 273, 1844, 311, 275, 722, 204, 305, 722, 19, 826, 68, 9861, 499, 31448, 299, 18, 898, 18, 3813, 18, 266, 18, 2602, 528, 204, 18553, 283, 7, 360, 4851, 311, 2054, 463, 5995, 3295, 19, 505, 68, 11187, 68, 10145, 13, 809, 17, 1029, 68, 1668, 17, 1029, 68, 898, 4150, 302, 9263, 1187, 463, 2170, 68, 898, 19, 505, 68, 932, 374, 7068, 204, 18553, 570, 17, 4781, 17, 2054, 14, 204, 204, 268, 314, 778, 397, 275, 2054, 7505, 529, 19686, 204, 268, 397, 2054, 19, 505, 68, 5863, 374, 564, 1029, 68, 898, 19, 505, 68, 5863, 1293, 204, 305, 314, 828, 275, 2054, 7505, 529, 508, 19686, 17, 881, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 611, 417, 3930, 492, 204, 485, 397, 588, 508, 292, 370, 19, 676, 68, 2199, 31, 204, 895, 3524, 204, 204, 485, 588, 289, 394, 13, 327, 19, 676, 68, 2199, 19, 998, 13, 417, 602, 204, 485, 30343, 289, 5026, 19, 2269, 611, 71, 307, 2036, 20, 29472, 3930, 492, 204, 485, 28681, 289, 5026, 19, 2269, 611, 71, 307, 2036, 20, 37191, 3930, 492, 204, 485, 27515, 289, 5026, 19, 2269, 611, 71, 307, 2036, 20, 34711, 3930, 492, 204, 485, 28611, 289, 5026, 19, 2269, 611, 71, 307, 2036, 20, 38888, 3930, 492, 204, 485, 2871, 289, 551, 29472, 17, 28681, 17, 27515, 17, 28611, 17, 588, 66, 204, 485, 6591, 19, 1223, 13, 2036, 14, 204, 204, 305, 407, 6591, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 16997, 6591, 497, 463, 5153, 68, 546, 2829, 463, 325, 13, 74, 3835, 204, 305, 407, 1306, 204, 204, 264, 436, 2270, 68, 1608, 13, 327, 17, 752, 68, 546, 31, 394, 17, 1800, 68, 546, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 273, 4707, 1283, 2388, 329, 1017, 3310, 2871, 7777, 19, 204, 204, 268, 457, 31, 204, 305, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 275, 2388, 19, 204, 305, 1800, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 275, 6275, 1769, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 440, 1451, 13, 327, 19, 2360, 68, 546, 17, 388, 92, 431, 448, 2106, 68, 553, 31, 204, 485, 752, 68, 2375, 289, 1127, 19, 8970, 13, 935, 68, 546, 14, 204, 485, 1800, 68, 2375, 289, 1127, 19, 8970, 13, 1676, 68, 546, 14, 204, 204, 485, 314, 778, 397, 275, 542, 302, 752, 329, 1800, 1860, 2216, 204, 485, 397, 1245, 13, 935, 68, 2375, 14, 2167, 1245, 13, 1676, 68, 2375, 330, 204, 895, 456, 499, 18928, 31, 3239, 302, 752, 329, 1800, 1860, 770, 508, 2216, 1280, 204, 204, 485, 348, 752, 17, 1800, 292, 4337, 13, 935, 68, 2375, 17, 1800, 68, 2375, 330, 204, 895, 752, 68, 417, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 11106, 13, 935, 68, 546, 659, 752, 14, 204, 895, 9229, 68, 417, 289, 1127, 19, 546, 19, 1541, 13, 1676, 68, 546, 17, 1800, 14, 204, 204, 895, 6591, 289, 370, 19, 5184, 68, 7040, 13, 5153, 68, 417, 14, 204, 204, 895, 314, 2208, 275, 458, 302, 6591, 311, 273, 782, 204, 895, 1769, 289, 379, 3759, 1541, 9086, 2625, 1541, 13, 2036, 14, 348, 2871, 292, 6591, 14, 204, 204, 895, 2304, 68, 15488, 289, 283, 1954, 935, 68, 417, 98, 463, 2185, 2277, 83, 7, 204, 895, 2106, 68, 553, 19, 2206, 13, 1608, 68, 15488, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 5343, 2304, 31, 463, 325, 13, 74, 3835, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 2106, 68, 1217, 289, 17937, 1087, 20, 3497, 68, 1219, 19, 3039, 7, 204, 264, 752, 68, 1217, 289, 388, 41, 15459, 11700, 68, 7154, 20, 22343, 68, 12355, 20, 22343, 25619, 20, 2936, 7, 204, 264, 1800, 68, 1217, 289, 388, 41, 15459, 11700, 68, 7154, 20, 22343, 68, 12355, 20, 22343, 25619, 20, 14721, 7, 204, 264, 850, 68, 2199, 289, 3134, 676, 22, 528, 388, 676, 23, 528, 388, 676, 24, 1339, 226, 314, 4546, 440, 1214, 2641, 850, 1987, 204, 204, 264, 2871, 68, 16647, 289, 14851, 15645, 13, 2360, 68, 1217, 17, 850, 68, 2199, 14, 204, 264, 2871, 68, 16647, 19, 3751, 68, 1608, 13, 935, 68, 1217, 17, 1800, 68, 1217, 14, 204, 0, 647, 6632, 24, 204, 647, 1264, 1825, 204, 531, 1498, 532, 1535, 204, 531, 4433, 532, 3017, 17, 824, 17, 2111, 68, 3143, 68, 1031, 204, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 8, 968, 273, 741, 311, 949, 275, 1302, 302, 273, 510, 292, 273, 3651, 18, 13821, 1883, 204, 461, 949, 68, 835, 13, 11403, 68, 835, 31, 421, 14, 393, 394, 31, 204, 264, 320, 11479, 275, 1302, 302, 273, 510, 292, 273, 3651, 18, 13821, 1883, 1279, 204, 264, 7539, 289, 2470, 17974, 491, 379, 26751, 17974, 491, 379, 36635, 17974, 491, 379, 146, 247, 17974, 491, 379, 32835, 17974, 839, 204, 264, 6491, 289, 500, 204, 264, 1335, 7480, 68, 835, 1323, 10696, 31, 204, 268, 7480, 68, 835, 16695, 10696, 204, 268, 6491, 1412, 368, 204, 264, 397, 6491, 1323, 500, 31, 204, 268, 407, 283, 1954, 11403, 68, 835, 4567, 23, 75, 98, 463, 7516, 64, 12786, 25718, 204, 264, 902, 31, 204, 268, 407, 283, 1954, 11403, 68, 835, 98, 463, 7516, 64, 21, 25718, 204, 204, 8, 968, 273, 741, 311, 2694, 275, 1666, 302, 273, 23349, 497, 275, 1104, 204, 461, 2694, 68, 2387, 13, 28692, 68, 359, 31, 421, 14, 393, 1535, 64, 325, 744, 204, 264, 320, 10894, 275, 1666, 302, 273, 23349, 497, 275, 1104, 1279, 204, 264, 810, 31, 204, 268, 440, 6632, 24, 19, 2933, 611, 3349, 20, 2387, 19, 1479, 24, 534, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 3370, 19, 4118, 611, 7097, 845, 7281, 4578, 8888, 32673, 34, 22919, 322, 28692, 68, 359, 11451, 204, 305, 722, 289, 3370, 19, 18778, 374, 204, 305, 397, 722, 31, 204, 485, 1666, 289, 1264, 1825, 19, 285, 21276, 13, 1300, 64, 21, 694, 204, 485, 314, 1974, 273, 2599, 4712, 311, 2252, 45969, 7154, 204, 485, 532, 5004, 204, 485, 407, 5004, 19, 350, 20409, 13, 2387, 19, 5286, 611, 3102, 18, 29, 3063, 204, 305, 902, 31, 204, 485, 407, 443, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 14056, 1666, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 8, 968, 273, 5143, 348, 275, 667, 1472, 204, 37, 748, 19, 3955, 22403, 2986, 4980, 5016, 2378, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 23349, 1222, 497, 275, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1484, 782, 204, 264, 23349, 68, 359, 289, 421, 13, 1443, 19, 1038, 19, 505, 611, 36227, 491, 500, 602, 204, 204, 264, 314, 6370, 311, 275, 1104, 204, 264, 810, 31, 204, 268, 440, 6632, 24, 19, 2933, 611, 3349, 20, 28692, 88, 19, 1479, 24, 534, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 3370, 19, 4118, 22811, 204, 485, 15754, 588, 68, 3924, 17, 588, 68, 39822, 17, 3678, 68, 1270, 17, 1724, 17, 1302, 68, 71, 17, 1489, 68, 2141, 204, 485, 7281, 322, 28692, 12341, 265, 7086, 5157, 24572, 12341, 284, 523, 265, 19, 39822, 68, 359, 34, 85, 19, 1181, 68, 39822, 14, 7086, 5157, 2851, 12341, 468, 523, 284, 19, 3924, 68, 359, 34, 87, 19, 1181, 68, 3924, 204, 485, 8888, 510, 68, 359, 34, 36, 204, 305, 44550, 322, 28692, 68, 359, 11451, 204, 305, 722, 289, 3370, 19, 18778, 374, 204, 305, 397, 722, 31, 204, 485, 314, 4784, 275, 2966, 2399, 204, 485, 2399, 289, 17518, 204, 895, 962, 6, 4701, 2213, 23203, 2966, 35, 204, 895, 962, 2079, 35, 204, 895, 962, 1885, 35, 204, 895, 962, 6656, 4778, 18, 16953, 1022, 2387, 18, 932, 7, 1666, 1022, 492, 20, 2079, 32, 21095, 34, 3102, 18, 29, 10091, 204, 895, 962, 1778, 35, 10702, 1724, 1211, 18630, 1778, 35, 204, 895, 962, 2850, 1384, 1022, 48228, 7, 1187, 1022, 492, 20, 11016, 7, 12712, 1022, 6691, 3643, 14105, 19, 11016, 7, 49149, 204, 895, 12649, 1885, 35, 204, 895, 962, 3825, 35, 204, 895, 962, 1867, 850, 1022, 1509, 1867, 10091, 204, 895, 962, 997, 35, 204, 895, 962, 8171, 6060, 1022, 13123, 18, 14156, 31, 2723, 32, 42994, 85, 850, 1022, 1270, 10091, 10702, 2851, 28112, 33, 6600, 49149, 11, 87, 3417, 87, 32, 17261, 24572, 1211, 18630, 85, 16101, 8171, 35, 204, 895, 962, 8171, 6060, 1022, 2435, 31, 1916, 42424, 6329, 18, 14156, 31, 14154, 42994, 85, 850, 1022, 1270, 10091, 33291, 44446, 11145, 19411, 31, 962, 71, 35, 10702, 1302, 1211, 18630, 71, 16101, 85, 16101, 8171, 35, 204, 895, 962, 8171, 6060, 1022, 2435, 31, 2019, 42424, 6329, 18, 14156, 31, 14154, 7, 13297, 1022, 1633, 42994, 85, 850, 1022, 1270, 42994, 71, 35, 10702, 1489, 1211, 18630, 71, 35, 17261, 690, 1211, 18630, 85, 16101, 8171, 35, 204, 895, 962, 8171, 6060, 1022, 2435, 31, 1168, 42424, 42994, 70, 12712, 1022, 30826, 31, 36, 383, 34, 343, 31, 6457, 20299, 31, 10702, 3678, 68, 1270, 1211, 2495, 12957, 3371, 6934, 1022, 6691, 24451, 20, 7237, 2169, 19, 4955, 7, 13297, 1022, 1633, 7, 9998, 1022, 22747, 21751, 12440, 36300, 7, 1724, 1022, 22747, 21751, 12440, 36300, 14537, 3712, 18169, 18, 6011, 6011, 11003, 7262, 9201, 3757, 48226, 70, 16101, 8171, 35, 204, 895, 12649, 997, 35, 204, 895, 12649, 1867, 35, 204, 895, 962, 2952, 850, 1022, 2594, 24, 7, 6060, 1022, 1932, 31, 6768, 32, 226, 1913, 31, 2753, 11930, 32, 5665, 18, 2640, 31, 14806, 13, 41333, 17, 41333, 17, 41333, 5224, 10091, 204, 895, 962, 2952, 850, 1022, 2594, 26, 42994, 77, 23, 35, 10702, 1724, 1211, 18630, 77, 23, 16101, 2952, 35, 204, 895, 962, 2952, 850, 1022, 2288, 68, 3825, 10091, 204, 895, 37051, 397, 1666, 31957, 204, 895, 17261, 1666, 1152, 7399, 28112, 204, 895, 37051, 902, 31957, 204, 895, 962, 77, 24, 6060, 1022, 492, 18, 14156, 31, 5342, 10091, 40485, 3852, 47268, 10408, 42600, 6011, 9193, 4606, 12255, 8233, 9193, 20291, 5421, 77, 24, 35, 204, 895, 37051, 1136, 403, 31957, 204, 895, 962, 6600, 802, 12957, 6600, 802, 16101, 2952, 35, 204, 895, 12649, 2952, 35, 204, 895, 962, 2952, 850, 1022, 2594, 25, 10091, 204, 895, 962, 1867, 850, 1022, 1509, 1867, 7, 2092, 12798, 1022, 21, 7, 2092, 21335, 1022, 21, 10091, 204, 895, 962, 997, 12957, 8171, 2198, 1022, 2188, 10, 42994, 85, 35, 2152, 5421, 85, 16101, 8171, 35, 204, 895, 962, 8171, 2198, 1022, 2682, 10, 7, 13297, 1022, 5342, 42994, 85, 35, 2152, 5421, 85, 16101, 8171, 35, 204, 895, 962, 8171, 6060, 1022, 492, 18, 14156, 31, 1633, 42994, 85, 6060, 1022, 18811, 18, 2723, 31, 26, 11930, 10091, 11, 3462, 32, 62, 24, 21972, 5421, 85, 16101, 8171, 35, 204, 895, 12649, 997, 16101, 1867, 35, 204, 895, 12649, 2952, 35, 204, 895, 962, 2952, 850, 1022, 10098, 42994, 70, 850, 1022, 836, 22, 7, 12712, 1022, 26594, 31, 2997, 19, 3529, 374, 7, 1724, 1022, 40485, 38917, 5676, 11003, 4606, 10408, 48226, 70, 16101, 2952, 35, 204, 895, 12649, 3825, 35, 204, 895, 12649, 2079, 35, 204, 485, 17518, 204, 485, 1666, 289, 2694, 68, 2387, 13, 28692, 68, 359, 14, 204, 485, 407, 2111, 68, 3143, 68, 1031, 13, 3143, 17, 1724, 34, 1300, 64, 24, 648, 2851, 34, 1300, 64, 21, 648, 24572, 34, 1300, 64, 22, 648, 1302, 34, 3446, 68, 835, 13, 1300, 64, 25, 5060, 1489, 34, 1300, 64, 26, 26378, 1003, 648, 690, 34, 1300, 64, 26, 1799, 1641, 16915, 3678, 68, 1270, 34, 1300, 64, 23, 648, 1666, 34, 2387, 14, 204, 305, 902, 31, 204, 485, 407, 379, 40485, 3852, 47268, 10408, 42600, 6011, 9193, 4606, 12255, 8233, 9193, 20291, 12, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 12076, 311, 1104, 31, 463, 74, 743, 204, 268, 407, 379, 596, 12076, 311, 1104, 12, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 19, 1777, 374, 204, 0, 7016, 6413, 20, 3539, 20, 5207, 24, 204, 367, 2256, 367, 289, 388, 21, 19, 22, 19, 4343, 7, 204, 204, 531, 25464, 19, 12084, 532, 38314, 204, 531, 25464, 19, 7632, 19, 1775, 4046, 532, 8884, 12909, 204, 531, 25464, 19, 34843, 19, 2947, 532, 15758, 204, 531, 25464, 19, 34843, 19, 5321, 2754, 532, 23145, 3313, 17, 23145, 204, 531, 724, 467, 6412, 73, 19, 748, 532, 12281, 3543, 204, 204, 531, 7694, 19, 935, 1529, 2700, 532, 3207, 3244, 12398, 204, 531, 7694, 19, 1529, 13583, 532, 9845, 26074, 204, 204, 12201, 19, 986, 68, 553, 499, 28774, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 20, 660, 2036, 19, 28774, 431, 204, 531, 25464, 19, 1234, 19, 2997, 532, 11024, 204, 204, 531, 6836, 19, 6734, 532, 25114, 204, 204, 676, 502, 18864, 3313, 13, 18864, 3313, 330, 204, 264, 320, 9005, 23145, 3313, 850, 1279, 204, 264, 1879, 204, 204, 676, 14517, 18864, 13, 18864, 330, 204, 264, 320, 11868, 3645, 1279, 204, 264, 1879, 204, 204, 676, 24513, 18864, 13, 18864, 330, 204, 264, 320, 7313, 88, 3645, 1279, 204, 264, 1879, 204, 204, 676, 15680, 18864, 13, 18864, 330, 204, 264, 320, 204, 264, 15680, 3645, 19, 204, 204, 264, 1532, 31, 204, 268, 5465, 68, 660, 68, 2036, 322, 3314, 330, 334, 667, 2871, 292, 275, 2557, 3645, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 930, 2251, 330, 204, 268, 2234, 3853, 924, 27606, 2251, 14, 204, 268, 370, 19, 12825, 68, 660, 68, 2036, 289, 370, 19, 1915, 19, 12825, 68, 660, 68, 2036, 226, 314, 6652, 5465, 68, 660, 68, 2036, 353, 437, 1222, 292, 275, 1144, 59, 510, 204, 204, 268, 314, 666, 273, 2963, 311, 1307, 1818, 311, 275, 4607, 204, 268, 4607, 68, 2947, 289, 15758, 13, 492, 1022, 11868, 431, 204, 268, 4607, 68, 2947, 19, 8357, 13, 271, 68, 4321, 34, 327, 19, 3216, 68, 1715, 68, 633, 68, 5386, 14, 204, 268, 370, 19, 12825, 68, 660, 68, 2036, 19, 826, 68, 5275, 13, 5386, 68, 2947, 14, 204, 204, 264, 436, 758, 68, 2256, 68, 1676, 13, 327, 17, 2585, 31, 394, 17, 1302, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 2585, 1800, 523, 275, 2557, 3645, 19, 204, 204, 268, 457, 31, 204, 305, 2585, 322, 325, 330, 334, 2585, 542, 19, 204, 305, 1302, 322, 325, 330, 334, 2158, 1302, 19, 204, 268, 320, 204, 268, 2585, 68, 1676, 289, 15758, 13, 492, 34, 75, 7, 11223, 463, 2256, 2277, 83, 96, 835, 743, 204, 268, 2585, 68, 1676, 19, 6823, 68, 835, 289, 388, 1036, 2184, 7, 204, 268, 370, 19, 12825, 68, 660, 68, 2036, 19, 826, 68, 5275, 13, 2256, 68, 1676, 14, 204, 204, 264, 436, 1307, 68, 1715, 68, 633, 68, 5386, 13, 327, 17, 1014, 14, 393, 443, 31, 204, 268, 320, 9686, 1818, 311, 275, 4607, 3645, 1279, 204, 268, 370, 19, 2754, 19, 1976, 289, 388, 5386, 7, 204, 204, 676, 3338, 6754, 3543, 13, 12688, 3543, 330, 204, 264, 320, 204, 264, 3338, 1650, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 6929, 68, 481, 322, 22226, 12909, 330, 334, 6929, 424, 19, 204, 268, 1356, 68, 481, 322, 873, 330, 334, 13860, 424, 19, 204, 268, 16619, 68, 7590, 68, 8530, 322, 2107, 330, 334, 16619, 1340, 5168, 19, 204, 268, 752, 68, 12011, 68, 8530, 322, 325, 330, 334, 752, 10570, 5168, 19, 204, 268, 10168, 322, 21573, 330, 334, 1767, 726, 19, 204, 268, 1903, 322, 5200, 13701, 3313, 330, 334, 3645, 4000, 19, 204, 264, 320, 204, 204, 264, 436, 2270, 13, 327, 14, 393, 502, 18864, 3313, 31, 204, 268, 320, 204, 268, 4908, 275, 667, 1650, 19, 204, 204, 268, 475, 31, 204, 305, 502, 18864, 3313, 31, 334, 3645, 4000, 19, 204, 268, 320, 204, 268, 370, 19, 32101, 68, 481, 289, 8884, 12909, 611, 481, 20, 481, 19, 1775, 534, 204, 268, 370, 19, 2555, 68, 481, 289, 370, 19, 32101, 68, 481, 19, 505, 499, 25866, 431, 204, 268, 370, 19, 558, 36353, 68, 7590, 68, 8530, 289, 370, 19, 32101, 68, 481, 19, 505, 499, 1529, 431, 1166, 558, 36353, 68, 7590, 1339, 204, 268, 370, 19, 935, 68, 12011, 68, 8530, 289, 370, 19, 32101, 68, 481, 19, 505, 499, 935, 68, 12011, 68, 8530, 431, 1166, 935, 68, 12011, 68, 8530, 1339, 204, 268, 370, 19, 6734, 289, 25114, 374, 204, 204, 268, 314, 763, 275, 3597, 5377, 204, 268, 3597, 68, 24182, 289, 551, 80, 348, 724, 292, 370, 19, 2555, 68, 481, 397, 370, 19, 2555, 68, 481, 64, 80, 2629, 204, 268, 370, 19, 6734, 19, 574, 68, 481, 68, 271, 68, 6734, 13, 4855, 68, 24182, 14, 204, 204, 268, 314, 977, 275, 3645, 4000, 204, 268, 370, 19, 5226, 289, 502, 18864, 3313, 374, 204, 204, 268, 314, 1255, 275, 4607, 329, 7694, 27866, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 11868, 18864, 13, 417, 833, 5386, 3063, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 7313, 88, 18864, 13, 417, 833, 13271, 3063, 204, 204, 268, 314, 977, 275, 2557, 3645, 17, 752, 2013, 2333, 17, 329, 2013, 13583, 204, 268, 370, 806, 924, 68, 3282, 68, 5321, 374, 204, 268, 370, 806, 924, 68, 935, 68, 1529, 68, 2700, 374, 204, 268, 370, 806, 924, 68, 1529, 13583, 374, 204, 204, 268, 407, 370, 19, 5226, 204, 204, 264, 436, 906, 924, 68, 1529, 13583, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 2013, 13583, 3645, 19, 204, 268, 320, 204, 268, 370, 19, 1529, 13583, 289, 9845, 26074, 13, 417, 833, 1529, 13583, 534, 204, 268, 370, 19, 1529, 13583, 19, 558, 36353, 68, 7590, 68, 8530, 289, 370, 19, 558, 36353, 68, 7590, 68, 8530, 204, 268, 370, 19, 1529, 13583, 19, 924, 68, 5365, 36260, 374, 204, 268, 370, 19, 1529, 13583, 19, 2045, 68, 12669, 374, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 327, 19, 1529, 13583, 14, 204, 204, 264, 436, 906, 924, 68, 935, 68, 1529, 68, 2700, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 752, 2013, 2333, 3645, 19, 204, 268, 320, 204, 268, 370, 19, 935, 68, 1529, 68, 2700, 289, 3207, 3244, 12398, 13, 417, 833, 935, 1529, 2700, 534, 204, 268, 370, 19, 935, 68, 1529, 68, 2700, 19, 924, 68, 2700, 68, 935, 13, 327, 19, 2555, 68, 481, 14, 204, 268, 370, 19, 935, 68, 1529, 68, 2700, 19, 574, 68, 6734, 13, 327, 19, 6734, 14, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 327, 19, 935, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 1529, 68, 2700, 14, 204, 204, 264, 436, 906, 924, 68, 3282, 68, 5321, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 2557, 3645, 19, 204, 268, 320, 204, 268, 370, 19, 3282, 68, 5321, 289, 15680, 18864, 13, 417, 833, 3282, 534, 204, 268, 370, 19, 3282, 68, 5321, 19, 574, 68, 2256, 68, 1676, 3843, 2256, 14909, 394, 13, 5114, 19, 835, 602, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 327, 19, 3282, 68, 5321, 14, 204, 204, 264, 436, 1523, 68, 1529, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 2013, 3645, 19, 204, 268, 320, 204, 268, 370, 19, 5226, 19, 1976, 289, 388, 1529, 13583, 7, 204, 268, 3840, 68, 655, 289, 370, 19, 6734, 19, 481, 204, 268, 370, 19, 1529, 13583, 19, 19320, 68, 655, 19, 5892, 374, 204, 268, 370, 19, 1529, 13583, 19, 19320, 68, 655, 289, 3840, 68, 655, 19, 3462, 374, 204, 268, 370, 19, 1529, 13583, 19, 5365, 36260, 19, 5892, 68, 12669, 374, 204, 268, 370, 19, 1529, 13583, 19, 1510, 68, 19320, 374, 204, 268, 370, 19, 1529, 13583, 19, 1062, 269, 68, 935, 68, 6457, 853, 13, 327, 19, 1529, 13583, 19, 1976, 68, 19320, 17, 752, 68, 12011, 68, 8530, 34, 327, 19, 935, 68, 12011, 68, 8530, 14, 204, 268, 370, 19, 1529, 13583, 19, 826, 68, 266, 68, 5365, 90, 326, 13, 327, 19, 1529, 13583, 19, 1976, 68, 19320, 14, 204, 204, 264, 436, 8062, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 19447, 275, 2388, 19, 204, 268, 320, 204, 268, 314, 23498, 31, 4862, 41439, 3975, 204, 268, 456, 499, 3971, 1380, 431, 204, 204, 264, 436, 1682, 68, 23340, 13, 327, 17, 1112, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5389, 311, 275, 1682, 15018, 19, 204, 204, 268, 457, 31, 204, 305, 1112, 322, 339, 330, 334, 790, 1112, 19, 204, 268, 320, 204, 268, 397, 1112, 353, 508, 443, 31, 204, 305, 1276, 289, 322, 998, 16, 22, 20245, 2051, 20, 1796, 13, 327, 19, 6734, 19, 481, 602, 204, 305, 370, 19, 1529, 13583, 19, 664, 727, 333, 19, 876, 289, 1276, 204, 268, 397, 1112, 2167, 500, 31, 204, 305, 370, 19, 1529, 13583, 19, 1510, 68, 19320, 374, 204, 305, 370, 19, 1529, 13583, 19, 1062, 269, 68, 935, 68, 6457, 853, 13, 327, 19, 1529, 13583, 19, 1976, 68, 19320, 17, 370, 19, 935, 68, 12011, 68, 8530, 14, 204, 305, 370, 19, 1529, 13583, 19, 826, 68, 266, 68, 5365, 90, 326, 13, 327, 19, 1529, 13583, 19, 1976, 68, 19320, 14, 204, 204, 264, 436, 2694, 68, 2207, 13, 327, 17, 2694, 68, 8530, 31, 1109, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5988, 273, 1627, 302, 2388, 19, 204, 204, 268, 457, 31, 204, 305, 2694, 68, 8530, 322, 2107, 330, 334, 7101, 5168, 19, 204, 268, 320, 204, 268, 370, 19, 935, 68, 1529, 68, 2700, 19, 4637, 68, 668, 13, 4637, 68, 8530, 14, 204, 204, 264, 436, 2106, 13, 327, 17, 424, 68, 655, 31, 458, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3025, 275, 4285, 2388, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 655, 322, 655, 330, 334, 458, 302, 4285, 2388, 19, 204, 268, 320, 204, 268, 348, 588, 292, 370, 19, 2555, 68, 481, 31, 204, 305, 397, 588, 292, 424, 68, 655, 31, 204, 485, 370, 19, 2555, 68, 481, 64, 417, 66, 289, 959, 204, 305, 902, 31, 204, 485, 370, 19, 2555, 68, 481, 64, 417, 66, 289, 1078, 204, 268, 370, 19, 32101, 68, 481, 19, 399, 499, 25866, 528, 930, 327, 19, 2555, 68, 481, 14, 204, 204, 264, 436, 1688, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4641, 275, 2388, 19, 204, 268, 320, 204, 268, 370, 19, 6734, 19, 2975, 374, 204, 268, 370, 19, 1777, 68, 1529, 374, 204, 204, 264, 436, 2694, 68, 12011, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5988, 10570, 521, 752, 2291, 19, 204, 268, 320, 204, 268, 370, 19, 1529, 13583, 19, 5365, 36260, 19, 5892, 68, 12669, 374, 204, 268, 370, 19, 1529, 13583, 19, 449, 340, 68, 19320, 19, 5892, 374, 204, 268, 397, 370, 19, 935, 68, 12011, 68, 8530, 564, 388, 2936, 559, 204, 305, 370, 19, 935, 68, 12011, 68, 8530, 289, 388, 4289, 7, 204, 268, 902, 31, 204, 305, 370, 19, 935, 68, 12011, 68, 8530, 289, 388, 2936, 7, 204, 268, 370, 19, 32101, 68, 481, 19, 399, 499, 935, 68, 12011, 68, 8530, 528, 752, 68, 12011, 68, 8530, 34, 327, 19, 935, 68, 12011, 68, 8530, 14, 204, 268, 370, 19, 1777, 68, 1529, 374, 204, 204, 264, 436, 3506, 13, 327, 17, 540, 81, 1038, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9829, 275, 1650, 19, 204, 268, 320, 204, 268, 2234, 1528, 5029, 374, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 3338, 6754, 3543, 1528, 1777, 374, 204, 0, 647, 7693, 204, 531, 1593, 5536, 1054, 68, 18199, 19, 1996, 532, 25182, 6493, 56, 7706, 4307, 204, 647, 1127, 204, 647, 1875, 204, 204, 676, 25182, 6493, 13109, 13, 14569, 19, 13109, 330, 204, 264, 320, 204, 264, 332, 8917, 348, 20259, 25182, 6493, 5885, 19, 204, 264, 320, 204, 264, 588, 289, 388, 34167, 6493, 68, 18199, 7, 204, 204, 264, 436, 1012, 68, 8239, 13, 327, 14, 393, 7693, 19, 2862, 31, 204, 268, 320, 204, 268, 15374, 275, 20259, 1352, 560, 4488, 5448, 497, 273, 510, 19, 204, 268, 320, 204, 268, 314, 1606, 5448, 497, 273, 510, 204, 268, 14360, 289, 370, 19, 976, 68, 3968, 68, 531, 68, 553, 374, 204, 822, 268, 314, 7000, 273, 824, 348, 848, 1274, 204, 268, 348, 1779, 292, 14360, 31, 204, 305, 4353, 7693, 19, 2862, 13, 204, 485, 1779, 34, 805, 17, 716, 485, 5713, 2508, 204, 895, 379, 73, 2797, 68, 13888, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 597, 959, 17, 204, 895, 379, 4103, 68, 1942, 1835, 68, 655, 597, 551, 39348, 66, 204, 485, 4752, 716, 485, 5176, 34, 327, 19, 1703, 68, 8381, 204, 305, 1179, 204, 204, 264, 436, 1151, 68, 3968, 68, 531, 68, 553, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 4143, 5448, 497, 273, 510, 329, 2584, 1475, 448, 273, 458, 19, 204, 822, 268, 475, 31, 204, 305, 458, 31, 332, 458, 302, 5448, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 3594, 275, 510, 329, 1151, 275, 5448, 204, 305, 440, 1451, 13, 865, 19, 546, 19, 1541, 13, 865, 19, 14702, 2144, 379, 3924, 68, 1538, 68, 46754, 19, 3039, 2008, 379, 87, 534, 448, 510, 31, 204, 485, 407, 551, 1054, 19, 14246, 374, 348, 1007, 292, 510, 66, 204, 268, 827, 3180, 31, 204, 305, 314, 1426, 275, 1322, 1330, 275, 510, 353, 508, 1193, 204, 305, 456, 611, 2597, 2851, 68, 1538, 68, 46754, 19, 3039, 508, 1193, 534, 204, 305, 407, 1306, 204, 204, 264, 436, 2252, 68, 8381, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 7693, 19, 2862, 31, 204, 268, 320, 204, 268, 9246, 275, 6214, 329, 15943, 275, 542, 302, 6214, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1472, 204, 822, 268, 9112, 31, 204, 305, 7693, 19, 2862, 31, 332, 824, 348, 848, 1472, 204, 268, 320, 204, 268, 314, 1986, 275, 1472, 1040, 204, 268, 1472, 68, 765, 289, 370, 19, 5184, 68, 2225, 68, 765, 13, 1935, 14, 204, 822, 268, 397, 1472, 68, 765, 31, 204, 305, 314, 7000, 273, 824, 348, 848, 1472, 204, 305, 348, 296, 292, 933, 13, 2225, 68, 765, 330, 204, 485, 1779, 289, 958, 19, 805, 465, 283, 12, 36, 4329, 19044, 68, 22, 2508, 78, 16, 22, 2867, 204, 485, 4353, 7693, 19, 2862, 13, 805, 34, 805, 17, 5176, 34, 327, 19, 1703, 14, 204, 268, 902, 31, 204, 305, 314, 5028, 1472, 17, 4353, 273, 824, 348, 490, 204, 305, 1779, 289, 958, 19, 805, 465, 283, 12, 36, 4329, 19044, 68, 22, 34, 22, 12, 204, 305, 4353, 7693, 19, 2862, 13, 805, 34, 805, 17, 5176, 34, 327, 19, 1703, 14, 204, 204, 264, 436, 1967, 68, 2225, 68, 765, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 421, 31, 204, 268, 320, 204, 268, 7483, 275, 542, 302, 6214, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1472, 204, 822, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 6214, 204, 268, 320, 204, 268, 314, 1986, 275, 1472, 1040, 204, 268, 1472, 68, 765, 289, 958, 19, 8022, 32606, 2952, 551, 37, 676, 1022, 24566, 18, 24798, 18, 8806, 1237, 13929, 335, 20, 612, 20, 70, 20, 7630, 20, 492, 24098, 5184, 374, 204, 822, 268, 397, 1472, 68, 765, 31, 204, 305, 314, 455, 275, 1472, 1040, 204, 305, 407, 421, 13, 2225, 68, 765, 3327, 23, 694, 204, 268, 407, 443, 204, 204, 264, 436, 2252, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 7693, 19, 2862, 31, 204, 268, 320, 204, 268, 9246, 275, 958, 329, 15943, 275, 1184, 5448, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1472, 204, 822, 268, 9112, 31, 204, 305, 7693, 19, 2862, 31, 332, 824, 348, 848, 1184, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1472, 869, 2696, 204, 268, 397, 508, 958, 19, 8022, 32606, 77, 22, 3930, 505, 1293, 204, 305, 314, 828, 508, 17, 4353, 273, 824, 348, 275, 1729, 1472, 204, 305, 4353, 7693, 19, 2862, 13, 805, 34, 1935, 19, 805, 17, 46678, 68, 2741, 34, 1021, 14, 204, 204, 268, 314, 1986, 275, 2851, 588, 204, 268, 2851, 68, 417, 289, 958, 19, 8022, 32606, 77, 22, 20, 492, 24098, 505, 374, 204, 822, 268, 314, 1986, 275, 1184, 5448, 204, 268, 1184, 68, 3968, 289, 958, 19, 8022, 32606, 2952, 551, 37, 481, 18, 7158, 1022, 1996, 18, 937, 38072, 2952, 7771, 676, 1022, 1849, 18, 3371, 18, 15290, 13929, 70, 30336, 9919, 3930, 5184, 374, 204, 204, 268, 314, 7000, 273, 824, 348, 848, 1184, 204, 268, 348, 1779, 292, 1184, 68, 3968, 31, 204, 305, 4353, 7693, 19, 2862, 13, 204, 485, 1779, 833, 3189, 1963, 4537, 19, 34167, 6493, 19, 1771, 12, 465, 1779, 17, 716, 485, 30482, 68, 2251, 34, 873, 13, 3924, 68, 417, 34, 3924, 68, 417, 659, 716, 485, 5176, 34, 327, 19, 1703, 68, 1271, 204, 305, 1179, 204, 204, 264, 436, 2252, 68, 1271, 13, 327, 17, 958, 31, 7693, 19, 2628, 17, 2851, 68, 417, 31, 394, 14, 393, 25182, 6493, 56, 7706, 4307, 31, 204, 268, 320, 204, 268, 9246, 275, 1184, 958, 329, 15943, 275, 1184, 424, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 305, 2851, 68, 417, 322, 325, 330, 334, 2851, 588, 204, 822, 268, 9112, 31, 204, 305, 25182, 6493, 56, 7706, 4307, 31, 334, 1184, 424, 204, 268, 320, 204, 268, 314, 666, 273, 717, 1184, 204, 268, 1184, 289, 25182, 6493, 56, 7706, 4307, 374, 204, 822, 268, 314, 1986, 275, 667, 2851, 204, 268, 1184, 28357, 16423, 68, 34065, 68, 839, 289, 370, 19, 5184, 68, 660, 68, 3924, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 1184, 588, 204, 268, 1184, 28357, 3344, 68, 839, 289, 370, 19, 5184, 68, 1271, 68, 417, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 2342, 204, 268, 1184, 28357, 25809, 68, 839, 289, 370, 19, 5184, 68, 2749, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 752, 1274, 204, 268, 1184, 28357, 8440, 68, 839, 289, 370, 19, 5184, 68, 935, 68, 805, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 752, 5448, 204, 268, 1184, 28357, 31649, 68, 839, 289, 370, 19, 5184, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 935, 68, 3968, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 1274, 204, 268, 1184, 28357, 3778, 68, 839, 289, 958, 19, 805, 204, 204, 268, 314, 1986, 275, 11138, 329, 6042, 204, 268, 11138, 289, 370, 19, 5184, 68, 35286, 13, 1935, 14, 204, 822, 268, 314, 7000, 437, 1184, 348, 848, 6018, 204, 268, 348, 6018, 292, 11138, 31, 204, 305, 1184, 28357, 31055, 68, 839, 289, 6018, 736, 31055, 4976, 11372, 839, 204, 305, 1184, 28357, 32098, 13606, 2214, 68, 839, 289, 370, 19, 5184, 68, 7406, 13, 1935, 17, 6018, 14, 204, 305, 4353, 1184, 204, 204, 264, 436, 1967, 68, 660, 68, 3924, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 667, 2851, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 667, 2851, 204, 268, 320, 204, 268, 314, 1986, 275, 2851, 832, 204, 268, 2851, 68, 546, 289, 958, 19, 8022, 32606, 2952, 551, 37, 676, 1022, 30203, 35622, 18, 1271, 13929, 70, 20, 7630, 20, 492, 24098, 5184, 374, 204, 822, 268, 397, 1245, 13, 3924, 68, 546, 14, 1323, 435, 31, 204, 305, 314, 3182, 275, 1043, 970, 1842, 204, 305, 2851, 68, 546, 19, 3377, 13, 21, 14, 204, 305, 2851, 68, 546, 19, 3377, 13, 21, 14, 204, 305, 314, 455, 275, 2851, 832, 204, 305, 407, 28365, 2625, 1541, 13, 3924, 68, 546, 14, 204, 268, 314, 455, 275, 2851, 832, 204, 268, 407, 28365, 2625, 1541, 13, 3924, 68, 546, 14, 204, 204, 264, 436, 1967, 68, 1271, 68, 417, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 1184, 588, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 1184, 588, 204, 268, 320, 204, 268, 314, 1986, 275, 1184, 588, 204, 268, 407, 958, 19, 8022, 32606, 77, 22, 20, 492, 24098, 505, 1528, 2892, 374, 204, 204, 264, 436, 1967, 68, 2749, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 1184, 2342, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 1184, 2342, 204, 268, 320, 204, 268, 314, 1986, 275, 2342, 204, 268, 2342, 289, 5607, 204, 268, 10507, 68, 85, 289, 958, 19, 8022, 32606, 2952, 551, 37, 676, 1022, 1271, 18, 1270, 18, 3071, 582, 10568, 13929, 2952, 64, 22, 8098, 85, 20, 492, 24098, 5184, 374, 204, 822, 268, 348, 284, 292, 10507, 68, 85, 31, 204, 305, 397, 284, 31, 204, 485, 284, 289, 284, 19, 2892, 7708, 83, 534, 204, 485, 284, 289, 284, 19, 2892, 7708, 89, 534, 204, 485, 284, 289, 284, 19, 2892, 7708, 87, 534, 204, 485, 2342, 1412, 379, 379, 465, 284, 204, 268, 314, 455, 275, 2342, 204, 268, 407, 2342, 204, 204, 264, 436, 1967, 68, 935, 68, 805, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 752, 1274, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 752, 1274, 204, 268, 320, 204, 268, 314, 1986, 275, 752, 5448, 204, 268, 2388, 289, 958, 19, 8022, 32606, 335, 551, 37, 676, 1022, 39140, 1351, 18, 5365, 36260, 367, 39140, 13929, 612, 20, 3371, 30336, 6422, 3930, 5184, 374, 204, 822, 268, 397, 2388, 31, 204, 305, 314, 455, 275, 1043, 752, 1274, 204, 305, 407, 370, 19, 1616, 68, 935, 68, 805, 13, 2936, 64, 21, 694, 204, 268, 314, 455, 437, 1392, 782, 204, 268, 407, 5607, 204, 204, 264, 436, 1967, 68, 935, 68, 3968, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 458, 31, 204, 268, 320, 204, 268, 7483, 275, 752, 5448, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 458, 31, 334, 752, 5448, 204, 268, 320, 204, 268, 314, 1986, 275, 752, 5448, 204, 268, 2388, 289, 958, 19, 8022, 32606, 335, 551, 37, 676, 1022, 39140, 1351, 18, 5365, 36260, 367, 39140, 13929, 612, 20, 3371, 30336, 6422, 3930, 5184, 374, 204, 822, 268, 397, 2388, 31, 204, 305, 314, 455, 275, 752, 5448, 204, 305, 407, 551, 327, 19, 1616, 68, 935, 68, 805, 13, 935, 14, 348, 752, 292, 2388, 66, 204, 268, 314, 455, 437, 1392, 458, 204, 268, 407, 1306, 204, 204, 264, 436, 1352, 68, 935, 68, 805, 13, 327, 17, 1779, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 9506, 275, 752, 1274, 19, 204, 822, 268, 457, 31, 204, 305, 1779, 322, 325, 330, 334, 752, 1274, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 4050, 752, 1274, 204, 268, 320, 204, 268, 314, 3736, 275, 1274, 204, 268, 3404, 68, 805, 289, 1779, 19, 1590, 12394, 204, 822, 268, 397, 1245, 13, 1590, 68, 805, 14, 1323, 720, 31, 204, 305, 314, 3182, 275, 4986, 329, 17555, 1842, 204, 305, 6924, 3404, 68, 805, 64, 23, 66, 204, 305, 6924, 3404, 68, 805, 64, 25, 66, 204, 268, 314, 1359, 275, 1043, 1103, 311, 275, 1034, 1274, 204, 268, 3404, 68, 805, 64, 21, 66, 289, 379, 3189, 1963, 4537, 19, 34167, 6493, 19, 1771, 12, 204, 268, 314, 455, 275, 4050, 1274, 204, 268, 407, 5014, 2625, 1541, 13, 1590, 68, 805, 14, 204, 204, 264, 436, 1967, 68, 35286, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 458, 31, 204, 268, 320, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 7483, 275, 11138, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 458, 31, 334, 11138, 204, 268, 320, 204, 268, 314, 1986, 275, 3467, 204, 268, 3467, 289, 958, 19, 8022, 32606, 2952, 551, 37, 676, 1022, 1271, 18, 1270, 18, 3071, 18, 937, 13929, 5154, 7771, 932, 1022, 492, 20, 26594, 1339, 3930, 505, 374, 204, 822, 268, 397, 3467, 31, 204, 305, 314, 1752, 275, 1012, 329, 1136, 3265, 302, 275, 11138, 204, 305, 300, 289, 3467, 19, 2269, 611, 1957, 13346, 19, 13824, 19, 35286, 534, 204, 305, 397, 300, 1323, 500, 31, 204, 485, 284, 289, 3467, 19, 2269, 611, 3734, 1937, 30742, 204, 485, 314, 1986, 275, 11138, 204, 485, 11138, 289, 3467, 64, 83, 465, 4662, 31, 85, 465, 571, 66, 204, 485, 314, 4546, 275, 2875, 14257, 440, 6246, 14257, 204, 485, 11138, 289, 11138, 19, 3834, 3273, 28142, 7810, 32796, 204, 485, 810, 31, 204, 895, 314, 1385, 275, 11138, 448, 2084, 204, 895, 407, 1875, 19, 5569, 13, 35286, 26459, 14679, 9567, 839, 204, 485, 827, 1319, 448, 318, 31, 204, 895, 314, 1198, 275, 908, 204, 895, 456, 13, 74, 14, 204, 268, 314, 455, 437, 1392, 458, 204, 268, 407, 1306, 204, 204, 264, 436, 1967, 68, 7406, 13, 327, 17, 958, 31, 7693, 19, 2628, 17, 6018, 31, 1135, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 4163, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 305, 6018, 322, 873, 330, 334, 6018, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 4163, 204, 268, 320, 204, 268, 314, 977, 275, 4163, 204, 268, 4163, 289, 5607, 204, 822, 268, 314, 1986, 275, 2037, 3564, 204, 268, 15582, 289, 6018, 19, 505, 611, 35226, 68, 41337, 31509, 534, 204, 822, 268, 348, 284, 292, 15582, 31, 204, 305, 314, 1986, 275, 588, 329, 700, 204, 305, 588, 289, 284, 19, 505, 611, 3344, 534, 204, 305, 700, 289, 284, 19, 505, 611, 11372, 534, 204, 305, 314, 5230, 275, 3929, 311, 275, 4163, 204, 305, 4163, 1412, 28365, 2625, 1541, 8031, 146, 104, 3852, 14723, 9201, 12848, 26611, 12255, 4374, 29568, 491, 588, 17, 394, 13, 876, 7971, 465, 7810, 83, 12, 204, 268, 314, 455, 275, 4163, 204, 268, 407, 4163, 19, 2892, 7708, 83, 534, 204, 0, 531, 40405, 23, 19, 5171, 36748, 532, 1301, 36748, 7073, 17, 1301, 36748, 596, 204, 204, 461, 838, 68, 2819, 68, 2602, 13, 2819, 68, 417, 31, 394, 14, 393, 1301, 36748, 7073, 1152, 443, 31, 204, 264, 320, 204, 264, 22548, 273, 1727, 311, 273, 11124, 1104, 19, 204, 204, 264, 457, 31, 204, 268, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1301, 36748, 7073, 1152, 443, 31, 334, 1104, 1727, 726, 397, 2707, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 1104, 1727, 726, 204, 264, 1104, 68, 2602, 289, 1301, 36748, 7073, 19, 826, 7073, 499, 54, 5811, 10909, 431, 204, 615, 264, 314, 1359, 275, 1104, 588, 204, 264, 1104, 68, 2602, 19, 574, 7073, 2687, 13, 2819, 68, 417, 14, 204, 615, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 275, 1104, 1727, 204, 268, 397, 508, 1104, 68, 2602, 19, 3664, 1293, 204, 305, 314, 828, 275, 1727, 4737, 17, 980, 437, 2710, 440, 275, 908, 943, 204, 305, 980, 1319, 13, 75, 7, 3504, 311, 1451, 1104, 1727, 31, 463, 2819, 68, 2602, 19, 2391, 596, 1528, 492, 8050, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 1727, 20577, 204, 268, 456, 13, 75, 7, 596, 4141, 1104, 1727, 31, 463, 74, 743, 204, 268, 407, 443, 204, 615, 264, 314, 828, 275, 1727, 353, 2707, 17, 407, 275, 1104, 1727, 726, 204, 264, 407, 1104, 68, 2602, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 1265, 31, 204, 264, 1104, 68, 417, 289, 388, 48945, 3067, 19, 9853, 7, 204, 264, 1104, 68, 2602, 289, 838, 68, 2819, 68, 2602, 13, 2819, 68, 417, 14, 204, 615, 264, 397, 1104, 68, 2602, 31, 204, 268, 456, 13, 75, 7, 7073, 1727, 311, 3318, 2819, 68, 417, 2867, 7634, 4073, 431, 204, 264, 902, 31, 204, 268, 456, 13, 75, 7, 3504, 311, 7087, 1104, 1727, 311, 3318, 2819, 68, 417, 15049, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 4947, 1759, 437, 4923, 35118, 36, 204, 204, 673, 2036, 31, 382, 3315, 13815, 17, 292, 808, 1322, 17, 496, 275, 690, 45673, 1873, 12511, 275, 14748, 302, 273, 1277, 34140, 17, 508, 496, 275, 3702, 45673, 1873, 6, 716, 204, 31676, 273, 2468, 3179, 1277, 17, 20095, 3702, 710, 32957, 1818, 329, 18795, 1283, 332, 329, 565, 302, 275, 1277, 17, 31408, 4627, 572, 17219, 273, 3133, 302, 931, 12056, 565, 19, 9419, 2249, 451, 20095, 572, 2284, 275, 6988, 329, 572, 3303, 3001, 275, 3133, 12056, 565, 448, 720, 19, 3682, 7353, 336, 1873, 311, 4315, 275, 2233, 19, 4222, 17, 2969, 7353, 336, 1873, 311, 4315, 275, 2233, 17, 275, 1277, 302, 2468, 3912, 353, 3848, 275, 1729, 329, 6202, 42413, 17, 490, 353, 3324, 19, 204, 204, 3103, 94, 31, 2935, 872, 529, 8205, 353, 13492, 1759, 329, 275, 2233, 302, 690, 3324, 17, 630, 275, 15667, 302, 275, 2969, 302, 3702, 3303, 2545, 1554, 19, 2935, 382, 3315, 8205, 353, 13492, 275, 2969, 302, 3702, 329, 1759, 448, 3454, 17, 329, 12077, 275, 2233, 302, 690, 448, 1554, 17, 292, 6488, 275, 7283, 2501, 311, 496, 928, 353, 12308, 11258, 19, 204, 204, 673, 2036, 31, 334, 2233, 302, 690, 618, 2964, 444, 273, 1554, 17, 10080, 1877, 500, 353, 3511, 17, 1101, 18082, 382, 3126, 1214, 2013, 329, 2075, 872, 529, 9221, 311, 770, 19, 3665, 2549, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 770, 496, 397, 872, 2652, 275, 1136, 1085, 311, 17, 329, 12077, 275, 2233, 302, 13348, 448, 1554, 19, 204, 204, 44389, 865, 21911, 3065, 874, 1742, 571, 521, 3420, 12471, 496, 874, 7950, 275, 39342, 34140, 1101, 275, 1051, 382, 2090, 2765, 353, 275, 2474, 14998, 18216, 4858, 19, 2474, 14998, 26400, 496, 529, 21790, 1330, 630, 3022, 1856, 5257, 275, 798, 302, 388, 5454, 29650, 7, 521, 10244, 43054, 1330, 18140, 10501, 630, 275, 2969, 302, 3702, 19, 204, 204, 673, 2036, 31, 334, 1844, 353, 17, 1169, 3825, 1415, 17356, 10080, 1465, 2955, 17, 4815, 329, 2969, 17, 17356, 3060, 2590, 490, 353, 13337, 348, 437, 2828, 16419, 2665, 1277, 311, 7528, 3913, 311, 5914, 19, 332, 3277, 6183, 302, 273, 2147, 16530, 299, 273, 2147, 5913, 451, 5566, 19, 1765, 275, 18767, 311, 22728, 278, 1283, 970, 12584, 17, 1051, 292, 16530, 17, 4260, 275, 16530, 299, 2147, 869, 311, 32076, 329, 275, 16530, 336, 2147, 12946, 4533, 521, 275, 16530, 336, 2147, 2080, 311, 27862, 19, 204, 204, 3103, 94, 31, 4128, 8965, 1340, 479, 3237, 36, 27692, 299, 292, 6832, 496, 275, 3702, 13978, 275, 8770, 12769, 24448, 1405, 3332, 275, 28342, 5953, 2666, 2518, 2545, 9140, 348, 28617, 3758, 2152, 828, 1051, 1466, 311, 2506, 496, 275, 3702, 292, 275, 28342, 302, 275, 8770, 5054, 4858, 867, 16390, 28617, 3758, 3913, 311, 273, 379, 6530, 270, 12, 14193, 379, 834, 491, 6216, 1194, 273, 379, 6530, 270, 12, 15001, 2152, 1662, 1910, 16169, 1784, 275, 2969, 302, 3702, 874, 1742, 21384, 560, 1330, 35495, 275, 379, 1520, 6028, 12, 794, 18, 12702, 336, 1759, 302, 275, 28342, 36, 204, 204, 3027, 291, 2837, 419, 73, 31, 334, 3536, 18, 5906, 3772, 281, 271, 353, 7784, 311, 273, 3567, 275, 11492, 302, 275, 1029, 560, 273, 2479, 302, 5953, 2518, 275, 19359, 11310, 23363, 301, 440, 5398, 19, 3065, 353, 1236, 690, 7654, 8033, 17, 2842, 273, 11492, 302, 273, 4628, 302, 273, 13268, 19, 204, 204, 3103, 94, 31, 382, 3315, 7051, 3060, 9136, 496, 275, 8770, 5054, 4858, 353, 508, 273, 690, 18, 6070, 4858, 19, 3355, 17, 1273, 18, 1826, 275, 2969, 302, 3702, 353, 8033, 17, 329, 31086, 2404, 275, 2969, 302, 3702, 353, 3324, 17, 273, 690, 7857, 618, 444, 8744, 2152, 334, 28342, 529, 17870, 311, 874, 41199, 560, 273, 1759, 19, 382, 12119, 12925, 6430, 496, 275, 4368, 382, 3315, 7595, 348, 618, 444, 8744, 560, 31, 5209, 808, 16248, 1759, 311, 275, 1759, 302, 28630, 11777, 17, 8631, 808, 717, 1759, 560, 275, 2969, 302, 3702, 17, 329, 1675, 8631, 28630, 11777, 560, 275, 2969, 302, 3702, 289, 720, 19, 5091, 19, 31889, 808, 4368, 302, 720, 19, 5091, 497, 275, 722, 302, 275, 1043, 4183, 1856, 5190, 275, 1690, 302, 690, 560, 928, 275, 14193, 379, 834, 12, 867, 14276, 19, 204, 204, 2866, 266, 23, 39, 31, 334, 5641, 35805, 32681, 500, 19, 2985, 88, 19, 334, 1759, 1283, 275, 435, 4858, 9400, 353, 6562, 23, 11777, 19, 25511, 437, 23363, 14288, 17, 275, 11310, 353, 3404, 329, 16913, 1698, 719, 20, 2974, 848, 9739, 23691, 19, 204, 204, 3103, 94, 31, 334, 4368, 382, 1869, 353, 275, 722, 302, 275, 4183, 496, 382, 13037, 17, 928, 292, 3702, 302, 275, 1483, 872, 874, 800, 618, 3303, 444, 31, 28630, 11777, 9729, 16248, 1759, 302, 34140, 17, 6167, 560, 2969, 302, 3702, 289, 17158, 14, 322, 2301, 3783, 6506, 2950, 2906, 808, 1581, 789, 28630, 11777, 6167, 560, 2969, 302, 3702, 289, 720, 19, 5091, 1015, 19, 17158, 14, 13576, 720, 19, 5091, 1015, 289, 17158, 14, 11983, 560, 5953, 289, 17158, 14, 204, 204, 7108, 31, 334, 12081, 869, 1742, 19545, 311, 3142, 8557, 3576, 329, 1895, 490, 9509, 311, 1696, 19, 5860, 9347, 874, 1742, 6571, 311, 6024, 20040, 19, 0, 647, 6632, 24, 204, 204, 8, 968, 273, 955, 311, 2304, 18153, 10207, 311, 47716, 3003, 204, 13712, 9858, 51, 68, 14001, 289, 463, 204, 264, 322, 21, 17, 1916, 19, 26, 330, 368, 17, 204, 264, 322, 2132, 19, 26, 17, 2019, 330, 435, 17, 204, 264, 322, 1511, 17, 2468, 330, 571, 17, 204, 264, 322, 2188, 17, 818, 611, 3643, 25843, 681, 204, 98, 204, 204, 461, 949, 68, 2141, 31318, 68, 932, 13, 25849, 31, 818, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 47716, 1187, 1609, 523, 275, 575, 677, 18153, 19, 204, 204, 264, 457, 31, 204, 268, 29330, 322, 996, 330, 334, 575, 677, 18153, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 47716, 1187, 322, 22, 17, 435, 17, 571, 17, 521, 681, 789, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 18153, 10207, 329, 407, 275, 3310, 47716, 1187, 204, 264, 348, 322, 3006, 17, 3482, 659, 47716, 68, 932, 292, 29411, 9858, 51, 68, 14001, 19, 1996, 1293, 204, 268, 397, 3124, 2186, 29330, 962, 3482, 31, 204, 305, 407, 47716, 68, 932, 204, 204, 461, 838, 68, 816, 68, 2141, 31318, 13, 2574, 31, 394, 17, 29330, 31, 818, 17, 47716, 68, 932, 31, 421, 17, 1863, 68, 417, 31, 394, 289, 388, 20850, 2819, 19, 1479, 431, 393, 443, 31, 204, 264, 320, 204, 264, 666, 273, 575, 47716, 292, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 575, 677, 2143, 19, 204, 268, 29330, 322, 996, 330, 334, 575, 677, 18153, 19, 204, 268, 47716, 68, 932, 322, 339, 330, 334, 47716, 1187, 322, 22, 17, 435, 17, 571, 17, 521, 681, 789, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 322, 2305, 31, 388, 20850, 2819, 19, 1479, 5561, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6370, 311, 275, 1104, 329, 838, 273, 3370, 204, 268, 440, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 314, 666, 275, 575, 2141, 31318, 1435, 397, 490, 5409, 2964, 1337, 204, 305, 3370, 19, 4118, 18585, 204, 485, 16254, 12409, 13111, 7845, 15731, 575, 2141, 31318, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 322, 204, 895, 2143, 11817, 17, 204, 895, 18153, 35024, 17, 204, 895, 39966, 1357, 15833, 204, 485, 1179, 204, 305, 22963, 204, 305, 314, 6461, 275, 575, 47716, 1025, 275, 1104, 204, 305, 3370, 19, 4118, 18585, 204, 485, 20832, 12377, 575, 2141, 31318, 322, 2574, 17, 18153, 17, 39966, 1357, 14, 204, 485, 12804, 22709, 13173, 38057, 204, 305, 25673, 322, 2574, 17, 29330, 17, 47716, 68, 932, 602, 204, 305, 1863, 19, 4827, 374, 204, 305, 456, 499, 28644, 872, 348, 4073, 4141, 273, 575, 47716, 1164, 12008, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 4141, 575, 47716, 31, 463, 74, 743, 204, 204, 461, 4032, 68, 2141, 31318, 13, 2141, 31318, 68, 932, 31, 421, 17, 1863, 68, 417, 31, 394, 289, 388, 20850, 2819, 19, 1479, 431, 393, 443, 31, 204, 264, 320, 204, 264, 6117, 273, 47716, 497, 275, 1104, 560, 1163, 1187, 19, 204, 204, 264, 457, 31, 204, 268, 47716, 68, 932, 322, 339, 330, 334, 47716, 1187, 322, 22, 17, 435, 17, 571, 17, 521, 681, 789, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 322, 2305, 31, 388, 20850, 2819, 19, 1479, 5561, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6370, 311, 275, 1104, 329, 838, 273, 3370, 204, 268, 440, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 314, 666, 275, 39966, 1357, 1435, 397, 490, 5409, 2964, 1337, 204, 305, 3370, 19, 4118, 18585, 204, 485, 16254, 12409, 13111, 7845, 15731, 39966, 1357, 322, 204, 895, 39966, 1357, 15833, 204, 485, 1179, 204, 305, 22963, 204, 305, 314, 6117, 275, 47716, 497, 275, 1104, 204, 305, 3370, 19, 4118, 18585, 204, 485, 21669, 7281, 39966, 1357, 204, 485, 8888, 39966, 1357, 289, 5478, 204, 305, 25673, 322, 2141, 31318, 68, 932, 11451, 204, 305, 1863, 19, 4827, 374, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 12629, 47716, 31, 463, 74, 743, 204, 204, 461, 2013, 68, 2141, 449, 624, 13, 1479, 68, 417, 31, 394, 289, 388, 20850, 2819, 19, 1479, 431, 393, 443, 31, 204, 264, 320, 204, 264, 9845, 830, 1235, 449, 624, 292, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 322, 2305, 31, 388, 20850, 2819, 19, 1479, 5561, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6370, 311, 275, 1104, 329, 838, 273, 3370, 204, 268, 440, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 314, 666, 275, 39966, 1357, 1435, 397, 490, 5409, 2964, 1337, 204, 305, 3370, 19, 4118, 18585, 204, 485, 16254, 12409, 13111, 7845, 15731, 39966, 1357, 322, 204, 895, 39966, 1357, 15833, 204, 485, 1179, 204, 305, 22963, 204, 305, 314, 4491, 830, 1235, 449, 624, 497, 275, 1104, 204, 305, 3370, 19, 4118, 18585, 204, 485, 15754, 540, 7281, 39966, 1357, 204, 305, 22963, 204, 305, 1235, 449, 624, 289, 3370, 19, 13208, 374, 204, 305, 397, 1235, 449, 624, 31, 204, 485, 348, 47716, 292, 1235, 449, 624, 31, 204, 895, 456, 3273, 83, 8516, 22743, 2810, 204, 895, 348, 2344, 292, 47716, 31, 204, 2058, 456, 13, 2124, 17, 1136, 833, 6947, 204, 895, 456, 374, 204, 305, 902, 31, 204, 485, 456, 499, 3882, 29411, 9858, 51, 29392, 1193, 431, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 24755, 1235, 449, 624, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 1335, 959, 31, 204, 268, 456, 499, 22, 19, 666, 575, 47716, 431, 204, 268, 456, 499, 23, 19, 6117, 47716, 431, 204, 268, 456, 499, 24, 19, 9845, 1235, 449, 624, 431, 204, 268, 456, 499, 25, 19, 15655, 431, 204, 268, 3508, 289, 537, 499, 2101, 1214, 3508, 31, 2810, 204, 268, 397, 3508, 564, 388, 22, 559, 204, 305, 2143, 289, 537, 499, 2101, 2143, 31, 2810, 204, 305, 29330, 289, 818, 13, 768, 499, 2101, 18153, 31, 4091, 204, 305, 47716, 68, 932, 289, 949, 68, 2141, 31318, 68, 932, 13, 25849, 14, 204, 305, 838, 68, 816, 68, 2141, 31318, 13, 2574, 17, 29330, 17, 47716, 68, 932, 14, 204, 268, 1677, 3508, 564, 388, 23, 559, 204, 305, 47716, 68, 932, 289, 421, 13, 768, 499, 2101, 47716, 1187, 31, 4091, 204, 305, 4032, 68, 2141, 31318, 13, 2141, 31318, 68, 932, 14, 204, 268, 1677, 3508, 564, 388, 24, 559, 204, 305, 2013, 68, 2141, 449, 624, 374, 204, 268, 1677, 3508, 564, 388, 25, 559, 204, 305, 2280, 204, 268, 902, 31, 204, 305, 456, 499, 1962, 3508, 19, 2982, 810, 2528, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 1917, 1068, 1583, 508, 918, 273, 2824, 2821, 1844, 311, 444, 9900, 19, 1547, 6644, 311, 444, 273, 1472, 497, 275, 16091, 20643, 302, 11143, 24080, 322, 36471, 14, 22397, 273, 4539, 1767, 17, 332, 16613, 26, 5639, 17, 329, 9530, 1483, 1465, 490, 17, 2864, 1163, 4790, 17, 6016, 17, 329, 7369, 311, 904, 6161, 19, 828, 872, 874, 273, 2824, 2821, 1844, 872, 10497, 2090, 1340, 440, 17, 9626, 1308, 275, 3695, 17, 329, 382, 6356, 444, 10048, 311, 9535, 872, 1660, 560, 1660, 19, 0, 647, 1875, 204, 531, 1804, 532, 1804, 204, 531, 1498, 532, 783, 17, 1061, 204, 204, 676, 35813, 31, 204, 264, 320, 5272, 273, 14631, 440, 1163, 4163, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 2344, 31, 394, 17, 1012, 68, 834, 31, 394, 17, 1136, 68, 834, 31, 394, 17, 2755, 31, 421, 330, 204, 268, 370, 19, 2124, 289, 2344, 204, 268, 370, 19, 1530, 68, 834, 289, 1012, 68, 834, 204, 268, 370, 19, 409, 68, 834, 289, 1136, 68, 834, 204, 268, 370, 19, 6772, 289, 2755, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 676, 471, 21241, 3368, 31, 204, 264, 320, 204, 264, 332, 1545, 348, 17322, 440, 275, 318, 21241, 5885, 19, 204, 204, 264, 1547, 3629, 2986, 311, 3752, 468, 1059, 1483, 329, 35663, 17, 3120, 6981, 17, 329, 456, 275, 1563, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 1545, 440, 1392, 40630, 348, 468, 25153, 329, 35663, 19, 204, 268, 320, 204, 268, 370, 19, 13820, 88, 68, 4800, 289, 1306, 204, 268, 370, 19, 36457, 68, 4800, 289, 2087, 204, 204, 264, 436, 636, 68, 13820, 88, 13, 327, 14, 393, 783, 64, 1665, 744, 204, 268, 320, 204, 268, 11244, 468, 1059, 1483, 497, 275, 318, 21241, 5885, 329, 40630, 490, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 5239, 1174, 468, 1059, 1483, 19, 204, 268, 320, 204, 268, 314, 778, 397, 468, 25153, 529, 2861, 13872, 204, 268, 397, 370, 19, 13820, 88, 68, 4800, 31, 204, 305, 456, 499, 4536, 336, 497, 4407, 431, 204, 305, 407, 370, 19, 13820, 88, 68, 4800, 204, 268, 902, 31, 204, 305, 314, 6579, 468, 25153, 497, 275, 5885, 329, 4407, 1475, 204, 305, 370, 19, 13820, 88, 68, 4800, 289, 370, 806, 6291, 68, 13820, 68, 1270, 374, 204, 305, 456, 499, 35534, 497, 5885, 431, 204, 305, 407, 370, 19, 13820, 88, 68, 4800, 204, 204, 264, 436, 906, 6291, 68, 13820, 68, 1270, 13, 327, 14, 393, 783, 64, 1665, 744, 204, 268, 320, 204, 268, 11244, 468, 1059, 1483, 497, 275, 318, 21241, 5885, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 5239, 1174, 468, 1059, 1483, 19, 204, 268, 320, 204, 268, 314, 4546, 440, 2641, 5581, 204, 268, 314, 1765, 6893, 5356, 17, 407, 1429, 1672, 424, 204, 268, 407, 551, 204, 305, 2832, 359, 559, 368, 17, 388, 417, 559, 388, 55, 1059, 368, 7832, 204, 305, 2832, 359, 559, 435, 17, 388, 417, 559, 388, 55, 1059, 435, 7832, 204, 305, 2832, 359, 559, 571, 17, 388, 417, 559, 388, 55, 1059, 571, 7832, 204, 268, 2437, 204, 204, 264, 436, 636, 68, 36457, 13, 204, 268, 370, 17, 204, 268, 3700, 68, 1915, 31, 783, 64, 339, 648, 204, 268, 3054, 31, 783, 64, 325, 648, 204, 268, 1012, 31, 394, 17, 204, 268, 1136, 31, 394, 17, 204, 268, 1006, 68, 31704, 31, 421, 17, 204, 264, 1179, 393, 783, 64, 43297, 744, 204, 268, 320, 204, 268, 11244, 35663, 497, 275, 318, 21241, 5885, 17, 13456, 6981, 17, 329, 2584, 275, 722, 19, 204, 204, 268, 457, 31, 204, 305, 3700, 68, 1915, 322, 1218, 64, 339, 1037, 332, 458, 302, 3700, 4192, 19, 204, 305, 3054, 322, 1218, 64, 325, 1037, 332, 458, 302, 3054, 311, 2081, 560, 19, 204, 305, 1012, 322, 325, 330, 334, 1012, 690, 311, 2081, 560, 19, 204, 305, 1136, 322, 325, 330, 334, 1136, 690, 311, 2081, 560, 19, 204, 305, 1006, 68, 31704, 322, 339, 330, 334, 2311, 542, 302, 19891, 311, 2081, 560, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 35663, 496, 2216, 275, 6981, 19, 204, 268, 320, 204, 268, 314, 6579, 35663, 497, 275, 4407, 521, 5885, 204, 268, 35663, 289, 370, 806, 505, 68, 36457, 68, 531, 68, 4800, 68, 276, 68, 15697, 13, 14024, 68, 1915, 14, 204, 268, 314, 3291, 6981, 311, 275, 35663, 204, 268, 4932, 68, 36457, 289, 370, 806, 6774, 68, 7484, 13, 36457, 17, 3054, 17, 1012, 17, 1136, 17, 1006, 68, 31704, 14, 204, 268, 407, 4932, 68, 36457, 204, 204, 264, 436, 906, 505, 68, 36457, 68, 531, 68, 4800, 68, 276, 68, 15697, 13, 327, 17, 3700, 68, 1915, 31, 783, 64, 339, 694, 393, 783, 64, 43297, 744, 204, 268, 320, 204, 268, 11244, 35663, 497, 275, 4407, 521, 275, 318, 21241, 5885, 19, 204, 204, 268, 457, 31, 204, 305, 3700, 68, 1915, 322, 1218, 64, 339, 1037, 332, 458, 302, 3700, 4192, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 35663, 19, 204, 268, 320, 204, 268, 35663, 289, 1306, 204, 268, 348, 3700, 68, 359, 292, 3700, 68, 1915, 31, 204, 305, 314, 778, 397, 35663, 529, 2861, 13872, 204, 305, 397, 3700, 68, 359, 292, 370, 19, 36457, 68, 4800, 31, 204, 485, 35663, 19, 6683, 13, 327, 19, 36457, 68, 4800, 64, 14024, 68, 359, 694, 204, 485, 456, 499, 4536, 336, 497, 4407, 431, 204, 305, 902, 31, 204, 485, 314, 6579, 35663, 497, 275, 5885, 329, 4407, 1475, 204, 485, 3700, 68, 36457, 289, 370, 806, 6291, 68, 36457, 13, 14024, 68, 359, 14, 204, 485, 370, 19, 36457, 68, 4800, 64, 14024, 68, 359, 66, 289, 3700, 68, 36457, 204, 485, 35663, 19, 6683, 13, 14024, 68, 36457, 14, 204, 485, 456, 499, 35534, 497, 5885, 431, 204, 268, 407, 35663, 204, 204, 264, 436, 906, 6291, 68, 36457, 13, 327, 17, 3700, 68, 359, 31, 421, 14, 393, 783, 64, 43297, 744, 204, 268, 320, 204, 268, 11244, 35663, 497, 275, 318, 21241, 5885, 19, 204, 204, 268, 457, 31, 204, 305, 3700, 68, 359, 322, 339, 330, 334, 3700, 1222, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 35663, 19, 204, 268, 320, 204, 268, 314, 4546, 440, 2641, 5581, 204, 268, 314, 1765, 6893, 5356, 17, 407, 1429, 1672, 424, 204, 268, 407, 551, 204, 305, 35813, 499, 32281, 528, 388, 1003, 31, 473, 555, 528, 388, 1641, 31, 473, 555, 528, 720, 659, 204, 305, 35813, 499, 38869, 528, 388, 1641, 31, 473, 555, 528, 388, 1258, 31, 473, 7795, 528, 571, 659, 204, 305, 35813, 499, 40344, 528, 388, 1258, 31, 473, 7795, 528, 388, 22, 31, 473, 7795, 528, 681, 659, 204, 268, 2437, 204, 204, 264, 436, 906, 6774, 68, 7484, 13, 204, 268, 370, 17, 204, 268, 35663, 31, 783, 64, 43297, 648, 204, 268, 3054, 31, 783, 64, 325, 648, 204, 268, 1012, 31, 394, 17, 204, 268, 1136, 31, 394, 17, 204, 268, 1006, 68, 31704, 31, 421, 17, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 1179, 393, 783, 64, 43297, 744, 204, 268, 320, 204, 268, 13039, 6981, 311, 275, 35663, 19, 204, 204, 268, 457, 31, 204, 305, 35663, 322, 1218, 64, 43297, 1037, 332, 458, 302, 35663, 19, 204, 305, 3054, 322, 1218, 64, 325, 1037, 332, 458, 302, 3054, 311, 2081, 560, 19, 204, 305, 1012, 322, 325, 330, 334, 1012, 690, 311, 2081, 560, 19, 204, 305, 1136, 322, 325, 330, 334, 1136, 690, 311, 2081, 560, 19, 204, 305, 1006, 68, 31704, 322, 339, 330, 334, 2311, 542, 302, 19891, 311, 2081, 560, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 35663, 496, 2216, 275, 6981, 19, 204, 268, 320, 204, 268, 4932, 68, 36457, 289, 35663, 204, 268, 397, 3054, 31, 204, 305, 3054, 289, 551, 2124, 19, 3006, 374, 348, 2344, 292, 3054, 66, 204, 305, 456, 499, 8865, 299, 560, 3054, 431, 204, 305, 4932, 68, 36457, 289, 551, 21634, 348, 14631, 292, 4932, 68, 36457, 397, 14631, 19, 2124, 19, 3006, 374, 292, 3054, 66, 204, 268, 397, 1012, 31, 204, 305, 1012, 68, 834, 289, 1804, 19, 12903, 13, 1530, 17, 13057, 46, 6212, 50, 10, 85, 431, 204, 305, 4932, 68, 36457, 289, 551, 21634, 348, 14631, 292, 4932, 68, 36457, 397, 1804, 19, 12903, 13, 21634, 19, 1530, 68, 834, 17, 13057, 46, 6212, 50, 10, 85, 431, 3721, 1012, 68, 834, 66, 204, 268, 397, 1136, 31, 204, 305, 1136, 68, 834, 289, 1804, 19, 12903, 13, 409, 17, 13057, 46, 6212, 50, 10, 85, 431, 204, 305, 4932, 68, 36457, 289, 551, 21634, 348, 14631, 292, 4932, 68, 36457, 397, 1804, 19, 12903, 13, 21634, 19, 409, 68, 834, 17, 13057, 46, 6212, 50, 10, 85, 431, 2186, 1136, 68, 834, 66, 204, 268, 397, 1006, 68, 31704, 31, 204, 305, 456, 499, 8865, 299, 560, 19891, 431, 204, 305, 4932, 68, 36457, 289, 551, 21634, 348, 14631, 292, 4932, 68, 36457, 397, 14631, 19, 6772, 3721, 1006, 68, 31704, 66, 204, 268, 407, 4932, 68, 36457, 204, 204, 264, 436, 456, 68, 36457, 13, 327, 17, 35663, 31, 783, 64, 43297, 1037, 204, 268, 320, 204, 268, 4060, 275, 35663, 292, 2084, 1883, 19, 204, 204, 268, 457, 31, 204, 305, 35663, 322, 1218, 64, 43297, 1037, 332, 458, 302, 35663, 19, 204, 268, 320, 204, 268, 456, 13, 1775, 19, 7362, 1568, 32478, 2124, 559, 14631, 19, 2124, 17, 388, 1530, 68, 834, 559, 14631, 19, 1530, 68, 834, 17, 388, 409, 68, 834, 559, 14631, 19, 409, 68, 834, 17, 388, 6772, 559, 14631, 19, 6772, 98, 348, 14631, 292, 35663, 648, 8851, 34, 25, 602, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1545, 289, 471, 21241, 3368, 374, 204, 264, 35663, 289, 1545, 19, 505, 68, 36457, 1568, 22, 17, 435, 17, 571, 648, 3134, 1637, 2124, 528, 388, 89, 18478, 2869, 388, 1003, 31, 473, 555, 528, 388, 26, 31, 473, 7795, 528, 435, 14, 204, 264, 1545, 19, 2102, 68, 36457, 13, 36457, 14, 204, 0, 531, 15751, 532, 22599, 204, 204, 8, 968, 3454, 204, 6433, 68, 9926, 289, 463, 204, 264, 379, 654, 608, 597, 379, 23, 491, 204, 264, 379, 1669, 68, 1949, 597, 379, 1845, 1207, 491, 204, 264, 379, 1190, 68, 522, 68, 4588, 597, 379, 7489, 491, 204, 264, 379, 737, 68, 24174, 597, 379, 2051, 491, 204, 264, 379, 14610, 68, 6956, 597, 379, 13971, 491, 204, 264, 379, 768, 68, 6575, 597, 379, 26, 491, 204, 264, 379, 2884, 68, 835, 597, 379, 2177, 491, 204, 264, 379, 7064, 597, 379, 1036, 491, 204, 264, 379, 17229, 597, 379, 21, 19, 4779, 491, 204, 264, 379, 30001, 597, 379, 1021, 12, 204, 98, 204, 204, 461, 636, 68, 816, 68, 768, 13, 1087, 68, 18510, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 763, 575, 537, 348, 1586, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 954, 68, 18510, 322, 873, 330, 1210, 1586, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 2221, 18, 28863, 1586, 1019, 19, 204, 264, 320, 204, 264, 314, 763, 575, 537, 348, 1586, 1019, 204, 264, 954, 68, 1309, 289, 2087, 204, 264, 348, 896, 17, 1540, 68, 876, 292, 954, 68, 18510, 19, 1996, 1293, 204, 268, 397, 896, 564, 379, 30001, 597, 204, 305, 575, 68, 768, 289, 537, 13, 75, 7, 18696, 275, 33357, 6710, 18204, 523, 273, 41785, 521, 508, 36, 322, 94, 20, 83, 17, 1540, 463, 2305, 68, 876, 19, 3006, 40172, 22, 7916, 330, 2810, 521, 1540, 68, 876, 19, 3006, 40172, 22, 66, 204, 305, 954, 68, 1309, 64, 644, 66, 289, 379, 1021, 12, 397, 575, 68, 768, 19, 3006, 374, 564, 379, 94, 12, 902, 379, 1975, 12, 204, 268, 1677, 896, 564, 379, 768, 68, 6575, 12, 329, 954, 68, 1309, 19, 505, 611, 30001, 491, 379, 1021, 534, 564, 379, 1021, 597, 204, 305, 954, 68, 1309, 64, 644, 66, 289, 537, 13, 75, 7, 2101, 275, 13222, 537, 3441, 322, 7022, 1376, 1120, 444, 1283, 296, 34929, 6575, 15, 14610, 3155, 302, 2617, 36770, 1860, 17, 1540, 463, 2305, 68, 876, 23474, 2810, 521, 1540, 68, 876, 204, 268, 1677, 896, 564, 379, 768, 68, 6575, 12, 329, 954, 68, 1309, 19, 505, 611, 30001, 491, 379, 1021, 534, 564, 379, 1975, 597, 204, 305, 954, 68, 1309, 64, 644, 66, 289, 379, 22, 12, 204, 268, 902, 31, 204, 305, 954, 68, 1309, 64, 644, 66, 289, 537, 13, 75, 7, 2101, 275, 463, 644, 19, 3834, 35332, 379, 379, 4150, 322, 2305, 463, 2305, 68, 876, 23474, 2810, 521, 1540, 68, 876, 204, 204, 264, 407, 954, 68, 1309, 204, 204, 461, 838, 68, 1087, 68, 3766, 13, 1087, 68, 1309, 31, 1135, 14, 393, 22599, 31, 204, 264, 320, 204, 264, 666, 273, 1586, 1732, 440, 275, 800, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 954, 68, 1309, 322, 873, 330, 6408, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 22599, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 6408, 1732, 19, 204, 264, 320, 204, 264, 314, 666, 273, 1586, 1732, 204, 264, 1732, 289, 22599, 374, 204, 204, 264, 314, 1255, 45408, 4524, 39, 34204, 4446, 204, 264, 1732, 19, 826, 68, 3769, 611, 29462, 39, 34204, 534, 204, 264, 1732, 736, 29462, 39, 34204, 4976, 15842, 23604, 3538, 839, 289, 954, 68, 1309, 736, 1669, 68, 1949, 839, 204, 264, 1732, 736, 29462, 39, 34204, 4976, 51, 28858, 839, 289, 954, 68, 1309, 736, 1190, 68, 522, 68, 4588, 839, 204, 264, 1732, 736, 29462, 39, 34204, 4976, 9967, 68, 37663, 839, 289, 954, 68, 1309, 736, 737, 68, 24174, 839, 204, 204, 264, 314, 1255, 13222, 4446, 204, 264, 1732, 19, 826, 68, 3769, 611, 19965, 534, 204, 264, 1732, 736, 19965, 4976, 8197, 2097, 3316, 839, 289, 954, 68, 1309, 736, 654, 608, 839, 204, 264, 1732, 736, 19965, 4976, 31175, 3185, 839, 289, 954, 68, 1309, 736, 30001, 839, 204, 264, 1732, 736, 19965, 4976, 20221, 839, 289, 954, 68, 1309, 736, 768, 68, 6575, 839, 204, 264, 1732, 736, 19965, 4976, 10710, 68, 2956, 839, 289, 954, 68, 1309, 736, 2884, 68, 835, 839, 204, 264, 1732, 736, 19965, 4976, 14710, 839, 289, 954, 68, 1309, 736, 7064, 839, 204, 264, 1732, 736, 19965, 4976, 3048, 15694, 839, 289, 954, 68, 1309, 736, 17229, 839, 204, 264, 1732, 736, 19965, 4976, 4688, 36281, 3096, 68, 37607, 839, 289, 954, 68, 1309, 736, 14610, 68, 6956, 839, 204, 204, 264, 407, 1732, 204, 204, 461, 2106, 68, 1087, 68, 553, 13, 3766, 31, 22599, 17, 2049, 31, 394, 289, 379, 1087, 43, 23, 19965, 19, 4120, 534, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 275, 1586, 510, 19, 204, 204, 264, 457, 31, 204, 268, 1732, 322, 17444, 330, 6408, 1732, 19, 204, 268, 2049, 322, 325, 17, 1448, 330, 6408, 510, 588, 19, 1243, 311, 379, 1087, 43, 23, 19965, 19, 4120, 2625, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3025, 275, 1586, 510, 204, 268, 440, 1451, 13, 2029, 17, 379, 92, 534, 448, 16100, 31, 204, 305, 1732, 19, 2206, 13, 14524, 14, 204, 268, 456, 13, 75, 7, 9515, 510, 6467, 4073, 311, 463, 2029, 12443, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 7770, 1586, 510, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 763, 575, 537, 204, 264, 954, 68, 1309, 289, 636, 68, 816, 68, 768, 13, 6433, 68, 9926, 14, 204, 204, 264, 314, 666, 1586, 1732, 204, 264, 1732, 289, 838, 68, 1087, 68, 3766, 13, 1087, 68, 1309, 14, 204, 204, 264, 314, 3025, 1586, 510, 204, 264, 2106, 68, 1087, 68, 553, 13, 3766, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 417, 31, 394, 17, 5212, 835, 31, 421, 289, 3861, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 2306, 510, 292, 12268, 329, 16346, 490, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2306, 510, 19, 204, 268, 5212, 835, 322, 339, 330, 334, 1302, 302, 848, 5212, 19, 1243, 311, 3861, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 15499, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 292, 12268, 311, 4516, 4843, 6705, 204, 264, 2497, 68, 2039, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 417, 17, 11282, 34, 1021, 17, 5212, 835, 34, 8307, 835, 14, 204, 264, 314, 14364, 830, 12268, 1025, 273, 2875, 3135, 204, 264, 407, 1246, 19, 12007, 1568, 8307, 348, 5212, 292, 2497, 68, 2039, 694, 204, 204, 461, 838, 68, 6124, 68, 1663, 13, 481, 68, 6124, 31, 1246, 19, 1362, 17, 575, 68, 1915, 31, 645, 19, 766, 17, 846, 68, 6782, 68, 359, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 666, 273, 6374, 1525, 497, 275, 6374, 424, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 6124, 322, 2600, 19, 1362, 330, 334, 6374, 424, 19, 204, 268, 575, 68, 1915, 322, 1123, 19, 766, 330, 334, 2220, 575, 4192, 19, 204, 268, 846, 68, 6782, 68, 359, 322, 339, 330, 334, 1646, 4092, 1222, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 6374, 1525, 19, 204, 264, 320, 204, 264, 314, 977, 273, 1525, 9492, 440, 7152, 204, 264, 6374, 68, 1663, 289, 645, 19, 4324, 1802, 1796, 13, 816, 68, 1915, 659, 846, 68, 6782, 68, 359, 465, 368, 602, 204, 264, 314, 1861, 1048, 848, 575, 204, 264, 348, 296, 17, 575, 68, 359, 292, 3209, 13, 816, 68, 1915, 330, 204, 268, 314, 763, 275, 575, 677, 10161, 204, 268, 575, 68, 12216, 289, 424, 68, 6124, 64, 481, 68, 6124, 736, 40715, 839, 564, 575, 68, 359, 66, 204, 268, 314, 1861, 1048, 848, 6374, 204, 268, 348, 6915, 1237, 292, 575, 68, 12216, 19, 22091, 1293, 204, 305, 314, 1359, 275, 6374, 292, 275, 1525, 204, 305, 6374, 68, 1663, 64, 78, 17, 1237, 736, 6782, 4729, 11653, 289, 1237, 736, 6124, 839, 204, 264, 407, 6374, 68, 1663, 204, 204, 461, 8060, 68, 1663, 13, 1663, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 8825, 273, 1525, 560, 8631, 848, 1837, 560, 1163, 7757, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 1123, 19, 766, 330, 334, 1525, 311, 8060, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 7570, 1525, 19, 204, 264, 320, 204, 264, 314, 888, 275, 7757, 302, 848, 1837, 204, 264, 25167, 289, 645, 19, 11450, 19, 5915, 13, 1663, 17, 3138, 34, 21, 14, 204, 264, 314, 4546, 2962, 25167, 440, 273, 2637, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 700, 311, 4516, 4854, 560, 2962, 204, 264, 25167, 64, 44905, 564, 500, 66, 289, 368, 74, 18, 1003, 204, 264, 314, 8825, 275, 1525, 204, 264, 407, 1525, 802, 25167, 204, 204, 461, 949, 68, 4531, 13, 6124, 68, 1663, 31, 645, 19, 766, 17, 2745, 68, 12216, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 888, 275, 575, 3680, 560, 7844, 1351, 302, 275, 6374, 1525, 329, 275, 575, 677, 10161, 19, 204, 204, 264, 457, 31, 204, 268, 6374, 68, 1663, 322, 1123, 19, 766, 330, 334, 6374, 1525, 19, 204, 268, 2745, 68, 12216, 322, 1123, 19, 766, 330, 334, 575, 677, 10161, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 575, 3680, 19, 204, 264, 320, 204, 264, 314, 8825, 275, 575, 677, 10161, 204, 264, 2745, 68, 12216, 68, 5915, 289, 2745, 68, 12216, 802, 645, 19, 11450, 19, 5915, 13, 2301, 68, 12216, 14, 204, 264, 314, 888, 275, 575, 3680, 204, 264, 407, 645, 19, 3005, 13, 6124, 68, 1663, 17, 2745, 68, 12216, 68, 5915, 14, 204, 204, 461, 636, 68, 29033, 13, 4531, 31, 645, 19, 766, 17, 6374, 68, 1663, 31, 645, 19, 766, 17, 4092, 68, 11941, 31, 1246, 19, 1362, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 763, 275, 4092, 14815, 1609, 523, 275, 575, 3680, 19, 204, 204, 264, 457, 31, 204, 268, 3680, 322, 1123, 19, 766, 330, 334, 575, 3680, 19, 204, 268, 6374, 68, 1663, 322, 1123, 19, 766, 330, 334, 6374, 1525, 19, 204, 268, 4092, 68, 11941, 322, 2600, 19, 1362, 330, 334, 4092, 10614, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 4092, 14815, 19, 204, 264, 320, 204, 264, 314, 888, 275, 8027, 1283, 275, 575, 3680, 329, 848, 4092, 204, 264, 19073, 289, 645, 19, 3005, 13, 6124, 68, 1663, 19, 57, 17, 3680, 14, 204, 264, 314, 763, 275, 4092, 4192, 329, 10614, 204, 264, 4092, 68, 1915, 289, 4092, 68, 11941, 736, 6782, 4729, 3750, 1309, 204, 264, 4092, 68, 2199, 289, 4092, 68, 11941, 736, 1778, 3750, 1309, 204, 264, 314, 666, 273, 435, 41, 1348, 440, 275, 4092, 4192, 329, 1987, 204, 264, 10338, 289, 645, 19, 643, 1568, 6782, 68, 1915, 17, 4092, 68, 2199, 12670, 57, 204, 264, 314, 4641, 275, 10338, 560, 8027, 204, 264, 2282, 68, 11921, 289, 10338, 64, 1123, 19, 26283, 2422, 35947, 2395, 204, 264, 407, 2282, 68, 11921, 204, 204, 461, 667, 1293, 204, 264, 314, 1385, 275, 6374, 329, 4092, 424, 204, 264, 424, 68, 6124, 289, 1137, 68, 481, 611, 12216, 19, 2039, 534, 204, 264, 424, 68, 6782, 289, 1137, 68, 481, 611, 11921, 19, 2039, 534, 204, 615, 264, 314, 763, 275, 1646, 4092, 1222, 204, 264, 846, 68, 6782, 68, 359, 289, 424, 68, 6782, 736, 6782, 4729, 3750, 1129, 374, 204, 615, 264, 314, 763, 275, 2220, 575, 4192, 204, 264, 575, 68, 1915, 289, 645, 19, 5271, 13, 481, 68, 6124, 736, 40715, 3750, 1309, 14, 204, 615, 264, 314, 666, 275, 6374, 1525, 204, 264, 6374, 68, 1663, 289, 838, 68, 6124, 68, 1663, 13, 481, 68, 6124, 17, 575, 68, 1915, 17, 846, 68, 6782, 68, 359, 14, 204, 615, 264, 314, 8825, 275, 6374, 1525, 204, 264, 6374, 68, 1663, 68, 5915, 289, 8060, 68, 1663, 13, 6124, 68, 1663, 14, 204, 615, 264, 314, 968, 275, 575, 677, 10161, 204, 264, 2745, 68, 12216, 289, 645, 19, 4324, 1802, 1129, 68, 6782, 68, 359, 465, 368, 602, 204, 264, 2745, 68, 12216, 64, 1511, 9769, 66, 289, 720, 226, 314, 2019, 9769, 338, 9260, 204, 264, 2745, 68, 12216, 64, 2177, 66, 289, 681, 226, 314, 4236, 338, 12627, 19914, 5973, 3261, 204, 264, 2745, 68, 12216, 64, 31159, 66, 289, 720, 226, 314, 30168, 338, 17920, 28058, 16605, 204, 264, 2745, 68, 12216, 64, 1003, 5839, 66, 289, 681, 204, 615, 264, 314, 888, 275, 575, 3680, 204, 264, 3680, 289, 949, 68, 4531, 13, 6124, 68, 1663, 68, 5915, 17, 2745, 68, 12216, 14, 204, 615, 264, 314, 8825, 275, 575, 3680, 204, 264, 3680, 68, 5915, 289, 3680, 802, 645, 19, 11450, 19, 5915, 13, 4531, 14, 204, 615, 264, 314, 763, 275, 4092, 10614, 204, 264, 4092, 68, 11941, 289, 424, 68, 6782, 18810, 1778, 491, 379, 6782, 4729, 11653, 204, 615, 264, 314, 763, 275, 4092, 14815, 204, 264, 14815, 289, 636, 68, 29033, 13, 4531, 68, 5915, 17, 6374, 68, 1663, 68, 5915, 17, 4092, 68, 11941, 14, 204, 615, 264, 314, 1198, 275, 1913, 931, 14815, 204, 264, 456, 13, 29033, 2022, 1003, 694, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 12227, 7474, 2174, 1458, 1638, 43008, 25883, 408, 2253, 2780, 26909, 11746, 16095, 2371, 18118, 408, 27306, 2371, 7059, 2968, 1565, 43008, 921, 29284, 25883, 568, 2278, 10732, 27306, 39337, 1111, 12227, 27721, 408, 3878, 5827, 5083, 1456, 13561, 40881, 2638, 921, 18642, 28643, 568, 22079, 6049, 10914, 1456, 7452, 6462, 31264, 9830, 4044, 27443, 1550, 46258, 9830, 27721, 408, 8465, 31264, 11507, 249, 41919, 2657, 3669, 255, 5277, 27306, 2371, 12227, 1002, 36, 37280, 3131, 1926, 2791, 10144, 10734, 1984, 204, 24025, 5381, 1251, 12227, 10491, 17238, 8075, 31264, 11507, 249, 41919, 1603, 27306, 2371, 27721, 31975, 3079, 3178, 1984, 204, 12227, 15272, 31461, 9198, 25883, 7678, 22901, 460, 408, 11448, 23639, 1390, 14726, 37059, 27721, 7678, 31461, 27306, 2371, 7986, 47987, 43008, 460, 25883, 408, 6271, 40318, 15812, 7858, 27721, 43008, 921, 23992, 28162, 1191, 408, 1456, 4264, 27721, 37059, 15823, 1390, 10150, 20513, 6290, 408, 6049, 27721, 10914, 8285, 46258, 9830, 27306, 2371, 7858, 27721, 408, 3865, 1111, 31264, 11507, 249, 41919, 3590, 31264, 9830, 568, 25669, 408, 17238, 16487, 408, 12227, 13427, 26829, 5944, 19595, 11066, 6817, 2114, 15272, 408, 31264, 9830, 2823, 7813, 39313, 408, 9027, 7986, 11934, 2499, 13561, 22960, 5124, 8275, 25883, 460, 15812, 408, 9555, 1002, 20880, 9276, 408, 34118, 40318, 27721, 460, 36823, 1955, 568, 7466, 4485, 27306, 2371, 27721, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10914, 8915, 12522, 7452, 31264, 11507, 249, 41919, 408, 27306, 2371, 27721, 4485, 942, 10120, 1603, 11768, 20244, 9276, 4770, 2657, 33428, 568, 204, 12227, 15272, 31461, 27306, 2371, 27260, 10705, 8285, 31264, 9830, 27721, 2253, 30259, 2676, 9276, 21331, 31264, 9830, 408, 12227, 4265, 7452, 10120, 1603, 11768, 20244, 9276, 408, 3879, 33903, 5100, 2411, 2336, 5673, 35752, 408, 9141, 10914, 6899, 25316, 568, 20887, 5643, 12227, 13427, 12285, 5522, 10893, 11768, 408, 5017, 28821, 47145, 12054, 27721, 8465, 10344, 408, 2498, 5757, 7360, 26829, 5944, 19595, 460, 11066, 6817, 408, 6271, 9276, 8728, 4485, 32929, 17211, 5170, 568, 9027, 27306, 2371, 27721, 42247, 28212, 1458, 13679, 1886, 15916, 25689, 408, 34343, 10379, 1111, 9276, 7371, 460, 22074, 408, 7466, 23412, 9276, 17413, 854, 6606, 5124, 2781, 28821, 3590, 408, 11516, 10914, 921, 1603, 12227, 15272, 3590, 9276, 12665, 35411, 34392, 18517, 29306, 408, 11012, 4762, 6606, 5124, 2781, 725, 28821, 1227, 12854, 5661, 5768, 10120, 12924, 43525, 7371, 3590, 12253, 10884, 9276, 408, 6663, 4770, 2657, 2498, 23412, 3669, 255, 5277, 27306, 2371, 27721, 568, 4002, 4002, 4002, 16648, 16759, 1984, 24025, 12227, 10491, 1984, 35230, 8065, 12227, 1946, 8312, 20703, 204, 27306, 2371, 12227, 7452, 10120, 1603, 11768, 20244, 2657, 8181, 33215, 9276, 8483, 408, 3038, 12227, 921, 5890, 11796, 43525, 30061, 5890, 408, 2278, 10732, 3730, 921, 9276, 1390, 8181, 2730, 7814, 4413, 14557, 27257, 408, 7335, 2544, 3669, 255, 5277, 27721, 408, 8465, 10914, 9302, 46844, 7335, 9276, 568, 12227, 15272, 921, 30802, 1398, 27721, 8010, 8275, 13630, 2382, 408, 26829, 5944, 19595, 1099, 239, 21555, 4076, 408, 9276, 9065, 1886, 12350, 10272, 408, 44177, 27721, 36823, 408, 8465, 9276, 9065, 1970, 6371, 16553, 1111, 568, 204, 34295, 26268, 1984, 27306, 2371, 21331, 6966, 25883, 460, 12227, 20429, 9302, 7452, 31264, 9830, 20244, 9276, 408, 34104, 17361, 4485, 1603, 11768, 1926, 7225, 408, 9027, 854, 13572, 12840, 9276, 568, 6271, 34104, 9276, 40427, 16097, 13501, 408, 10914, 12976, 2433, 10694, 568, 204, 0, 30039, 275, 16108, 5319, 353, 4240, 1465, 717, 10673, 348, 548, 2115, 267, 2115, 28606, 1133, 292, 275, 14067, 1136, 302, 25176, 18515, 19, 334, 2637, 46041, 353, 1085, 302, 273, 3981, 302, 819, 46410, 35675, 329, 265, 3785, 35675, 496, 529, 14790, 43999, 6539, 311, 43999, 6539, 437, 285, 3350, 292, 12593, 2317, 508, 273, 5348, 6963, 348, 437, 45424, 40180, 19, 3355, 17, 275, 43787, 545, 4009, 497, 548, 2115, 267, 2115, 28606, 1133, 529, 45424, 2317, 490, 353, 25600, 273, 1622, 20839, 292, 275, 4410, 1001, 440, 3232, 488, 47155, 322, 10277, 273, 1622, 365, 290, 990, 789, 35220, 1330, 872, 636, 45424, 30341, 1347, 497, 5464, 8283, 521, 43999, 6539, 437, 285, 3350, 48103, 17, 872, 1519, 311, 636, 2263, 8033, 19, 7054, 353, 2075, 572, 874, 5298, 292, 39062, 1048, 275, 1673, 4542, 2181, 1273, 30341, 1347, 496, 4230, 508, 874, 1742, 448, 45424, 13762, 529, 13972, 4558, 560, 275, 9920, 302, 30611, 7309, 497, 40667, 329, 12855, 19, 3355, 17, 397, 572, 4030, 1465, 548, 2115, 267, 2115, 28606, 1133, 17, 490, 353, 292, 25176, 18515, 17, 1051, 302, 275, 4870, 742, 7777, 292, 7136, 7266, 19, 4087, 17, 497, 1273, 353, 830, 496, 2263, 11311, 36, 204, 673, 3090, 7156, 867, 496, 548, 2115, 267, 2115, 867, 7196, 1882, 275, 1136, 302, 275, 1673, 15232, 2025, 1646, 292, 7136, 7266, 17, 1330, 25176, 18515, 867, 3171, 14314, 476, 19, 8624, 302, 275, 9254, 7792, 2103, 302, 275, 15028, 5269, 5439, 529, 275, 27049, 40922, 1372, 302, 26243, 496, 30239, 275, 1277, 302, 1910, 302, 275, 37857, 18, 416, 18, 13351, 37422, 19, 1058, 1784, 2512, 348, 21128, 302, 2263, 311, 444, 2755, 348, 1428, 272, 1979, 521, 1428, 4871, 84, 5535, 10854, 18532, 1178, 497, 548, 2115, 267, 2115, 19, 3065, 529, 904, 6016, 302, 18727, 2643, 24557, 560, 1605, 2482, 18, 1772, 13028, 2728, 26243, 292, 904, 3576, 302, 15028, 7136, 7266, 2317, 275, 970, 496, 2287, 311, 6832, 529, 472, 89, 19, 16422, 292, 27675, 17, 1273, 872, 618, 3020, 2263, 5183, 33099, 4009, 329, 273, 5054, 18, 3533, 1593, 15111, 523, 275, 265, 3785, 13708, 322, 9968, 5084, 789, 14262, 15182, 2648, 17, 275, 27892, 447, 6860, 1622, 45, 4340, 292, 275, 23557, 1001, 353, 273, 3403, 26810, 46041, 8077, 560, 437, 25263, 1330, 7465, 365, 329, 2263, 9493, 19, 12411, 302, 1605, 529, 34040, 311, 10482, 1330, 1422, 1466, 26243, 292, 6837, 27675, 322, 9798, 874, 3303, 1742, 10741, 440, 2223, 21251, 789, 204, 673, 717, 4960, 292, 13902, 19800, 8385, 33375, 560, 387, 402, 44505, 3772, 520, 19, 322, 14768, 14, 10846, 496, 548, 2115, 267, 2115, 4230, 444, 17465, 1194, 12650, 6183, 19, 334, 1489, 348, 275, 1673, 4801, 630, 548, 2115, 267, 2115, 523, 275, 13884, 7356, 4453, 2643, 10601, 5885, 353, 12351, 2169, 1719, 10355, 17, 754, 1048, 887, 17, 1207, 2181, 8518, 17, 2590, 2614, 273, 690, 1330, 10224, 867, 14314, 476, 19, 3355, 17, 808, 717, 3793, 10846, 496, 548, 2115, 267, 2115, 7196, 273, 2311, 302, 12351, 10015, 311, 435, 17, 2051, 2181, 8518, 17, 5268, 1422, 1784, 444, 3171, 2202, 3776, 2263, 3332, 311, 6626, 1605, 45424, 30341, 1347, 19, 334, 1622, 15150, 2941, 1001, 943, 31, 5508, 31184, 867, 275, 24465, 85, 1157, 348, 13677, 275, 18532, 3735, 17, 5268, 496, 4042, 348, 18532, 1178, 2090, 808, 529, 5508, 3848, 3113, 292, 18358, 10224, 19, 204, 2841, 529, 273, 11502, 302, 3490, 440, 275, 2501, 808, 4240, 353, 2545, 8316, 31, 204, 18, 334, 38898, 353, 496, 4042, 529, 45096, 348, 273, 717, 45424, 40180, 292, 25176, 18515, 19, 3355, 17, 1250, 8720, 685, 1051, 3287, 6285, 31, 7465, 365, 19, 46073, 17, 397, 31184, 23083, 18532, 3735, 17, 1675, 25176, 18515, 618, 3848, 6626, 45424, 30341, 1347, 302, 5464, 8283, 329, 43999, 6539, 437, 285, 3350, 19, 3355, 17, 1422, 529, 1236, 9649, 496, 1169, 717, 7465, 365, 353, 20160, 4789, 548, 2115, 267, 2115, 1629, 3303, 17, 4461, 273, 1622, 1957, 40180, 1001, 273, 5680, 17764, 3198, 19, 204, 18, 334, 10673, 292, 275, 3062, 529, 565, 868, 81, 25122, 18, 1003, 10789, 10673, 2317, 46296, 27277, 41160, 444, 26872, 19, 1547, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 29604, 523, 275, 6733, 496, 273, 11118, 353, 13779, 311, 275, 3776, 302, 275, 6138, 329, 1675, 22251, 35006, 20749, 18497, 619, 1163, 3776, 17, 12511, 565, 868, 81, 25122, 18, 1003, 322, 291, 37806, 302, 3300, 14, 311, 2270, 719, 523, 275, 13779, 3776, 19, 9419, 17, 808, 18479, 273, 3324, 2233, 302, 18497, 619, 430, 17, 754, 275, 11118, 353, 13779, 275, 5641, 3091, 17, 928, 17, 448, 872, 618, 20095, 17, 4230, 444, 273, 5348, 17455, 19, 204, 18, 592, 275, 3793, 3062, 5398, 17, 275, 9682, 4627, 1622, 29765, 19914, 302, 275, 32008, 10673, 8744, 14029, 1283, 500, 19, 29, 329, 435, 19, 22, 33835, 17, 1335, 2327, 4645, 5190, 10212, 17, 4210, 18, 31848, 1229, 3642, 10673, 19, 334, 3981, 1283, 500, 19, 29, 329, 435, 19, 22, 33835, 353, 24190, 448, 47894, 299, 275, 3091, 302, 33099, 4801, 1882, 928, 548, 2115, 267, 2115, 28606, 1133, 867, 7196, 19, 334, 4017, 10212, 10673, 529, 35712, 311, 1489, 30341, 1347, 630, 275, 10212, 13518, 279, 6800, 375, 3582, 1058, 10846, 311, 479, 496, 1429, 23724, 2549, 444, 448, 6695, 448, 11818, 2181, 3299, 17, 1101, 508, 13765, 275, 667, 1643, 19, 1547, 353, 5913, 496, 1250, 24190, 10212, 10673, 448, 508, 1085, 302, 548, 2115, 267, 2115, 2317, 437, 14473, 496, 1784, 4426, 7636, 295, 18367, 521, 3061, 36343, 4249, 311, 2248, 378, 27302, 496, 275, 10212, 10673, 529, 508, 1085, 302, 548, 2115, 267, 2115, 19, 204, 1834, 353, 508, 311, 4627, 496, 548, 2115, 267, 2115, 4230, 508, 444, 17465, 1194, 12650, 6183, 19, 7356, 4453, 323, 2048, 292, 21251, 14003, 529, 5362, 311, 1489, 2404, 754, 5680, 5583, 299, 3459, 2317, 437, 40180, 11342, 302, 2181, 3299, 4230, 2909, 2090, 490, 15342, 1673, 1324, 19, 3355, 17, 490, 353, 4501, 23211, 311, 3020, 717, 9021, 6310, 311, 3061, 32774, 3888, 19, 9419, 572, 2842, 1519, 311, 1696, 719, 440, 904, 9021, 329, 6709, 311, 2886, 1605, 717, 10673, 348, 548, 2115, 267, 2115, 28606, 1133, 19, 204, 3873, 368, 31, 313, 21571, 9402, 10599, 560, 471, 33575, 36400, 2532, 13063, 204, 3873, 435, 31, 313, 21571, 6903, 14259, 560, 471, 33575, 36400, 2532, 13063, 0, 8, 21523, 560, 5959, 571, 19, 21, 19, 24, 523, 10651, 18, 5559, 18, 7788, 39285, 31, 8619, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 676, 6761, 11267, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 1058, 5420, 7861, 275, 379, 8967, 12, 570, 560, 11227, 275, 379, 5903, 68, 269, 12, 329, 379, 16744, 68, 269, 12, 2357, 19, 204, 204, 264, 334, 379, 5903, 68, 269, 12, 1242, 353, 2908, 311, 15551, 758, 275, 790, 1489, 1330, 273, 717, 2002, 353, 1966, 19, 204, 264, 334, 379, 16744, 68, 269, 12, 1242, 353, 2927, 5943, 311, 2512, 348, 8217, 496, 874, 508, 1742, 10689, 7301, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 6127, 348, 808, 5420, 204, 264, 6127, 31, 458, 64, 2644, 64, 325, 17, 394, 2629, 289, 551, 204, 268, 314, 1058, 5420, 8788, 523, 275, 379, 25429, 68, 4881, 68, 1036, 2825, 32110, 68, 2353, 5049, 12, 5420, 292, 275, 379, 2036, 12, 740, 204, 268, 2448, 2036, 491, 379, 25429, 68, 4881, 68, 1036, 2825, 32110, 68, 2353, 5049, 2008, 204, 264, 2437, 204, 204, 264, 314, 968, 275, 2758, 311, 444, 8942, 292, 808, 5420, 204, 264, 2758, 31, 458, 64, 12571, 19, 12558, 66, 289, 551, 204, 268, 314, 1716, 275, 379, 5903, 68, 269, 12, 1242, 311, 732, 6545, 68, 1520, 68, 826, 34, 1021, 204, 268, 6447, 19, 20636, 13, 204, 305, 314, 9918, 275, 570, 588, 204, 305, 570, 68, 417, 833, 3396, 491, 204, 305, 314, 9918, 275, 1242, 588, 204, 305, 588, 833, 5903, 68, 269, 491, 204, 305, 314, 1716, 275, 1242, 311, 732, 6545, 68, 1520, 68, 826, 34, 1021, 204, 305, 1242, 34, 1618, 19, 12860, 13, 4881, 68, 1520, 68, 826, 34, 1021, 659, 204, 268, 5334, 204, 268, 314, 3867, 275, 379, 16744, 68, 269, 12, 1242, 5943, 204, 268, 6447, 19, 20636, 13, 204, 305, 314, 9918, 275, 570, 588, 204, 305, 570, 68, 417, 833, 3396, 491, 204, 305, 314, 9918, 275, 1242, 588, 204, 305, 588, 833, 16744, 68, 269, 491, 204, 305, 314, 1716, 275, 1242, 311, 444, 5943, 204, 305, 1242, 34, 1618, 19, 12860, 13, 8179, 34, 1021, 659, 204, 268, 5334, 204, 264, 2437, 204, 0, 461, 1151, 68, 5457, 68, 1663, 13, 3173, 31, 421, 17, 2630, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 4143, 273, 2510, 1525, 497, 2599, 537, 19, 204, 204, 264, 457, 31, 204, 264, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 1525, 19, 204, 264, 2630, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 458, 64, 655, 64, 339, 2440, 332, 435, 41, 458, 2457, 275, 2510, 1525, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1525, 440, 275, 800, 5150, 204, 264, 1525, 289, 1306, 204, 615, 264, 314, 1606, 848, 1237, 497, 2599, 537, 329, 6283, 490, 311, 275, 1525, 204, 264, 348, 906, 292, 933, 13, 3173, 330, 204, 268, 1237, 289, 537, 374, 204, 268, 314, 2208, 275, 537, 782, 311, 273, 458, 302, 1892, 329, 6283, 490, 311, 275, 1525, 204, 268, 1525, 19, 1223, 1568, 339, 13, 4039, 14, 348, 2092, 292, 1237, 694, 204, 615, 264, 407, 1525, 204, 204, 204, 461, 1020, 68, 12680, 68, 6845, 68, 1509, 1663, 13, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 421, 31, 204, 264, 320, 204, 264, 6746, 275, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 440, 830, 1842, 2545, 368, 19, 204, 204, 264, 457, 31, 204, 264, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 2510, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 440, 830, 1842, 2545, 368, 19, 204, 264, 320, 204, 264, 314, 763, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 542, 302, 3015, 329, 2630, 292, 275, 1525, 204, 264, 3015, 17, 2630, 289, 1245, 13, 1663, 659, 1245, 13, 1663, 64, 21, 694, 204, 615, 264, 314, 977, 273, 435, 41, 458, 311, 1640, 275, 7539, 302, 275, 4794, 2415, 860, 18, 15117, 204, 264, 314, 9801, 630, 848, 2092, 204, 264, 7165, 289, 5787, 21, 66, 540, 2630, 348, 906, 292, 933, 13, 3173, 2395, 204, 615, 264, 314, 977, 275, 1646, 1302, 302, 275, 2415, 860, 18, 1663, 204, 264, 846, 68, 835, 289, 500, 204, 615, 264, 314, 10155, 275, 1043, 1237, 329, 1043, 1837, 302, 275, 7165, 1435, 204, 264, 348, 296, 292, 933, 13, 3173, 330, 204, 268, 7165, 64, 78, 1799, 21, 66, 289, 1525, 64, 78, 1799, 21, 66, 204, 268, 846, 68, 835, 289, 846, 13, 1129, 68, 835, 17, 7165, 64, 78, 1799, 21, 694, 204, 615, 264, 348, 781, 292, 933, 13, 3786, 330, 204, 268, 7165, 64, 21, 1799, 79, 66, 289, 1525, 64, 21, 1799, 79, 66, 204, 268, 846, 68, 835, 289, 846, 13, 1129, 68, 835, 17, 7165, 64, 21, 1799, 79, 694, 204, 615, 264, 314, 10155, 275, 3022, 302, 275, 7165, 1435, 204, 264, 348, 296, 292, 933, 13, 22, 17, 3015, 330, 204, 268, 348, 781, 292, 933, 13, 22, 17, 2630, 330, 204, 305, 314, 828, 275, 790, 2092, 353, 368, 17, 275, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 204, 305, 314, 9801, 630, 808, 2092, 353, 275, 2311, 1302, 302, 275, 4794, 2415, 860, 18, 15117, 204, 305, 314, 9801, 630, 275, 1913, 17, 1824, 17, 329, 1913, 18, 1735, 4207, 9729, 368, 204, 305, 397, 1525, 64, 78, 1799, 79, 66, 564, 368, 31, 204, 485, 7165, 64, 78, 1799, 79, 66, 289, 1006, 13, 10056, 64, 78, 18, 22, 1799, 79, 648, 7165, 64, 78, 1799, 79, 18, 22, 648, 7165, 64, 78, 18, 22, 1799, 79, 18, 22, 694, 465, 368, 204, 485, 846, 68, 835, 289, 846, 13, 1129, 68, 835, 17, 7165, 64, 78, 1799, 79, 694, 204, 615, 264, 314, 455, 275, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 204, 264, 407, 846, 68, 835, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1606, 275, 542, 302, 3015, 329, 2630, 497, 2599, 537, 204, 264, 3015, 17, 2630, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 615, 264, 314, 1606, 275, 2510, 1525, 497, 2599, 537, 204, 264, 1525, 289, 1151, 68, 5457, 68, 1663, 13, 3173, 17, 2630, 14, 204, 615, 264, 314, 1752, 275, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 440, 830, 1842, 2545, 368, 204, 264, 846, 68, 835, 289, 1020, 68, 12680, 68, 6845, 68, 1509, 1663, 13, 1663, 14, 204, 615, 264, 314, 1198, 275, 1864, 302, 275, 4794, 2415, 860, 18, 1663, 204, 264, 456, 13, 1129, 68, 835, 540, 846, 68, 835, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2044, 23, 204, 647, 2010, 448, 645, 204, 647, 6032, 448, 1774, 204, 204, 461, 1137, 68, 29643, 68, 809, 13, 809, 68, 546, 31, 394, 17, 1800, 68, 1608, 68, 546, 31, 394, 14, 393, 1774, 19, 5191, 31, 204, 264, 320, 204, 264, 1385, 275, 12105, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 68, 546, 322, 325, 330, 2621, 311, 275, 570, 510, 19, 204, 268, 1800, 68, 1608, 68, 546, 322, 325, 330, 2621, 311, 275, 1800, 2304, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1774, 19, 5191, 31, 334, 3271, 12105, 2067, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 12105, 570, 204, 264, 7151, 68, 1944, 289, 1774, 19, 5963, 374, 204, 264, 440, 7151, 68, 1944, 19, 402, 68, 2305, 1293, 204, 268, 18057, 68, 1944, 68, 461, 289, 1774, 19, 5963, 7146, 374, 204, 268, 440, 1774, 19, 76, 553, 19, 44, 2597, 13, 809, 68, 546, 17, 379, 6952, 534, 448, 44131, 31, 204, 305, 11948, 68, 1944, 289, 44131, 19, 976, 374, 204, 305, 18057, 68, 1944, 68, 461, 19, 19353, 7374, 4269, 13, 15148, 68, 1944, 14, 204, 305, 1774, 19, 647, 68, 1944, 68, 461, 13, 478, 68, 1944, 68, 461, 17, 588, 11456, 204, 264, 407, 1774, 19, 5191, 13, 1944, 34, 12355, 68, 1944, 14, 204, 204, 461, 1137, 68, 4814, 68, 1669, 13, 4814, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 275, 1043, 2023, 302, 273, 2752, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 2752, 68, 546, 322, 325, 330, 2621, 311, 275, 2752, 1445, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 1043, 2023, 302, 275, 2752, 1767, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 2752, 510, 204, 264, 2752, 68, 2375, 289, 2282, 13, 865, 19, 8970, 13, 4814, 68, 546, 602, 204, 264, 1043, 68, 1669, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 4814, 68, 546, 17, 2752, 68, 2375, 64, 21, 694, 204, 264, 407, 2044, 23, 19, 10465, 13, 2922, 68, 1669, 68, 546, 14, 204, 204, 461, 11774, 68, 935, 13, 935, 31, 645, 19, 766, 17, 5657, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 16538, 437, 752, 560, 4950, 4528, 24469, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 11774, 19, 204, 268, 5657, 322, 339, 330, 3239, 302, 2666, 311, 11774, 275, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 11780, 752, 19, 204, 264, 320, 204, 264, 314, 16538, 275, 752, 204, 264, 348, 906, 292, 933, 13, 11906, 330, 204, 268, 752, 289, 2044, 23, 19, 15941, 13, 935, 17, 2044, 23, 19, 35315, 3538, 68, 3276, 68, 40, 13657, 22911, 1599, 14, 204, 264, 407, 752, 204, 204, 461, 6824, 68, 935, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 19108, 437, 752, 1609, 523, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 273, 21092, 4392, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 6824, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 17725, 752, 19, 204, 264, 320, 204, 264, 314, 19108, 275, 752, 204, 264, 4392, 289, 6824, 13, 935, 14, 226, 314, 6652, 6824, 741, 353, 4310, 13762, 204, 264, 407, 770, 68, 12831, 13, 935, 17, 4392, 14, 226, 314, 6652, 770, 68, 12831, 741, 353, 4310, 13762, 204, 204, 461, 2811, 68, 1386, 68, 12355, 13, 2488, 31, 1774, 19, 5191, 17, 752, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 3055, 726, 7151, 523, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 2067, 322, 2987, 19, 5191, 330, 334, 12105, 2067, 19, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 4522, 2828, 292, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 334, 7151, 6591, 17, 3703, 17, 4364, 17, 329, 542, 302, 19078, 19, 204, 264, 320, 204, 264, 314, 3055, 726, 7151, 204, 264, 752, 68, 32423, 289, 645, 19, 11185, 68, 10840, 13, 935, 17, 3138, 34, 21, 14, 204, 264, 3806, 289, 551, 2488, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 7040, 31, 21, 2008, 204, 11826, 2067, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 4319, 31, 21, 2008, 204, 11826, 2067, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 3191, 31, 21, 2008, 204, 11826, 2067, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 920, 68, 24381, 31, 21, 10116, 204, 264, 407, 2067, 19, 1777, 13, 4599, 17, 4182, 68, 873, 2508, 2488, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 935, 68, 3116, 31, 21, 4448, 752, 68, 32423, 1937, 204, 204, 461, 2081, 68, 24381, 13, 935, 31, 645, 19, 766, 17, 3442, 31, 421, 17, 6591, 31, 645, 19, 766, 17, 4364, 31, 645, 19, 766, 17, 3703, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 4863, 726, 19078, 1609, 523, 273, 3442, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 496, 867, 1376, 348, 7151, 19, 204, 268, 3442, 322, 339, 330, 334, 2311, 2279, 1945, 348, 273, 7151, 311, 444, 6028, 1097, 19, 204, 268, 6591, 322, 1123, 19, 766, 330, 334, 7151, 6591, 19, 204, 268, 4364, 322, 1123, 19, 766, 330, 334, 7151, 4364, 19, 204, 268, 3703, 322, 1123, 19, 766, 330, 334, 7151, 3703, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 334, 4932, 7151, 6591, 17, 4364, 17, 329, 3703, 19, 204, 264, 320, 204, 264, 314, 4863, 275, 19078, 204, 264, 407, 770, 68, 2741, 13, 935, 17, 3442, 17, 6591, 17, 4364, 17, 3703, 14, 226, 314, 6652, 770, 68, 2741, 741, 353, 4310, 13762, 204, 204, 461, 4959, 68, 4814, 68, 13892, 13, 4814, 68, 546, 31, 394, 17, 919, 68, 546, 31, 394, 17, 5657, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3325, 273, 2752, 1767, 329, 1967, 14290, 1470, 1483, 19, 204, 204, 264, 457, 31, 204, 268, 2752, 68, 546, 322, 325, 330, 2621, 311, 275, 2752, 1445, 19, 204, 268, 919, 68, 546, 322, 325, 330, 2621, 311, 275, 919, 1445, 19, 204, 268, 5657, 322, 339, 330, 3239, 302, 2666, 311, 11774, 275, 752, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 12105, 570, 204, 268, 570, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 26054, 3843, 553, 31720, 379, 3549, 491, 379, 3052, 491, 379, 24244, 68, 20361, 68, 1944, 19, 11922, 534, 204, 268, 1800, 68, 1608, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 26054, 3843, 553, 31720, 379, 3549, 491, 379, 3052, 491, 379, 1676, 1608, 19, 11922, 3039, 534, 204, 268, 2067, 289, 1137, 68, 29643, 68, 809, 13, 809, 68, 546, 17, 1800, 68, 1608, 68, 546, 14, 204, 204, 268, 314, 1385, 275, 2752, 2023, 204, 268, 1043, 68, 1669, 289, 1137, 68, 4814, 68, 1669, 13, 4814, 68, 546, 14, 204, 204, 268, 314, 16538, 275, 752, 204, 268, 11780, 68, 1669, 289, 11774, 68, 935, 13, 2922, 68, 1669, 17, 5657, 14, 204, 204, 268, 314, 19108, 275, 752, 204, 268, 17725, 68, 1669, 289, 6824, 68, 935, 13, 25936, 68, 1669, 14, 204, 204, 268, 314, 3055, 726, 7151, 204, 268, 6591, 17, 3703, 17, 4364, 17, 771, 289, 2811, 68, 1386, 68, 12355, 13, 2488, 17, 17725, 68, 1669, 14, 204, 204, 268, 314, 4863, 275, 19078, 204, 268, 4932, 68, 7040, 17, 4932, 68, 3191, 17, 4932, 68, 4319, 289, 2081, 68, 24381, 13, 32754, 68, 1669, 17, 1199, 17, 6591, 17, 4364, 17, 3703, 14, 204, 204, 268, 314, 3168, 322, 5243, 302, 275, 1576, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2752, 68, 546, 289, 388, 546, 68, 633, 68, 4814, 68, 2100, 7, 204, 264, 919, 68, 546, 289, 388, 546, 68, 633, 68, 1420, 68, 2100, 7, 204, 264, 5657, 289, 368, 204, 264, 4959, 68, 4814, 68, 13892, 13, 4814, 68, 546, 17, 919, 68, 546, 17, 5657, 14, 204, 0, 647, 2010, 448, 645, 204, 531, 2821, 532, 5900, 17, 353, 32018, 204, 204, 461, 949, 68, 21426, 68, 3174, 13, 1096, 22, 31, 927, 17, 917, 23, 31, 927, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 10781, 1759, 1283, 970, 1728, 19, 204, 204, 264, 457, 31, 204, 264, 917, 22, 322, 2644, 330, 334, 1043, 917, 19, 204, 264, 917, 23, 322, 2644, 330, 334, 1350, 917, 19, 204, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 264, 475, 31, 204, 264, 818, 31, 334, 10781, 1759, 1283, 275, 970, 1728, 19, 204, 264, 320, 204, 264, 314, 888, 275, 2712, 292, 610, 329, 469, 2992, 204, 264, 4992, 289, 917, 22, 64, 21, 66, 338, 917, 23, 64, 21, 66, 204, 264, 6748, 289, 917, 22, 64, 22, 66, 338, 917, 23, 64, 22, 66, 204, 264, 314, 455, 275, 10781, 1759, 204, 264, 407, 5900, 13, 4928, 930, 435, 465, 6748, 930, 435, 14, 204, 204, 461, 13356, 68, 82, 68, 876, 13, 93, 31, 421, 14, 393, 818, 31, 204, 264, 320, 204, 264, 41897, 275, 700, 302, 502, 974, 273, 21895, 741, 19, 204, 204, 264, 457, 31, 204, 264, 610, 322, 339, 330, 334, 537, 700, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 29024, 700, 302, 502, 19, 204, 264, 320, 204, 264, 314, 2680, 10208, 1019, 348, 502, 204, 264, 309, 68, 1309, 289, 551, 27, 17, 5924, 17, 26745, 17, 27116, 30, 17, 17386, 2188, 17, 2846, 6221, 22, 17, 36276, 42092, 17, 2989, 7653, 19237, 17, 1168, 2418, 7653, 2300, 17, 681, 4920, 1641, 37296, 66, 204, 264, 314, 2069, 610, 1019, 348, 275, 800, 502, 1019, 204, 264, 610, 68, 1309, 289, 458, 13, 2307, 13, 1796, 13, 82, 68, 1309, 3694, 204, 264, 314, 10083, 273, 3542, 5326, 311, 275, 711, 13, 50, 14, 1019, 204, 264, 279, 22, 17, 279, 21, 289, 645, 19, 13301, 2714, 13, 93, 68, 1309, 17, 645, 19, 761, 13, 82, 68, 1309, 659, 368, 14, 204, 264, 314, 455, 275, 29024, 502, 700, 204, 264, 407, 645, 19, 4041, 13, 72, 22, 540, 610, 465, 279, 21, 14, 204, 204, 461, 1020, 68, 2922, 68, 7107, 68, 266, 68, 2307, 13, 82, 68, 3006, 31, 421, 17, 309, 68, 5231, 31, 421, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1752, 275, 1043, 1988, 292, 275, 800, 933, 302, 309, 1019, 19, 204, 204, 264, 457, 31, 204, 264, 309, 68, 3006, 322, 339, 330, 334, 3124, 2722, 302, 275, 933, 19, 204, 264, 309, 68, 5231, 322, 339, 330, 334, 3482, 2722, 302, 275, 933, 19, 204, 204, 264, 475, 31, 204, 264, 927, 31, 334, 1043, 1988, 322, 83, 17, 309, 14, 292, 275, 933, 19, 204, 264, 320, 204, 264, 314, 2069, 4069, 5537, 292, 275, 800, 933, 204, 264, 348, 724, 23, 292, 1900, 68, 11230, 68, 11727, 68, 266, 68, 2307, 13, 29, 540, 309, 68, 3006, 540, 309, 68, 3006, 465, 368, 17, 1132, 540, 309, 68, 5231, 540, 309, 68, 5231, 465, 368, 330, 204, 268, 314, 778, 397, 724, 23, 338, 368, 353, 273, 3536, 302, 1132, 204, 268, 397, 322, 80, 23, 338, 368, 14, 1564, 1132, 564, 500, 31, 204, 305, 314, 888, 309, 23, 329, 309, 204, 305, 309, 23, 289, 322, 80, 23, 338, 368, 14, 3166, 1132, 204, 305, 309, 289, 353, 32018, 13, 82, 23, 14, 204, 305, 314, 778, 397, 309, 540, 309, 9329, 309, 23, 204, 305, 397, 309, 540, 309, 564, 309, 23, 31, 204, 485, 314, 888, 724, 329, 300, 204, 485, 724, 289, 353, 32018, 13, 80, 23, 14, 204, 485, 2136, 724, 540, 724, 564, 724, 23, 204, 485, 2136, 322, 80, 465, 435, 540, 309, 465, 368, 14, 1564, 435, 564, 500, 204, 485, 300, 289, 322, 80, 465, 435, 540, 309, 465, 368, 14, 3166, 435, 204, 485, 314, 778, 275, 1581, 435, 540, 300, 540, 300, 338, 435, 540, 300, 564, 322, 83, 465, 309, 14, 540, 322, 83, 465, 309, 338, 368, 14, 204, 485, 2136, 435, 540, 300, 540, 300, 338, 435, 540, 300, 564, 322, 83, 465, 309, 14, 540, 322, 83, 465, 309, 338, 368, 14, 204, 485, 314, 455, 275, 1988, 322, 83, 17, 309, 14, 204, 485, 407, 322, 83, 17, 309, 14, 204, 264, 314, 455, 443, 397, 1236, 1988, 353, 1193, 204, 264, 407, 443, 204, 204, 461, 1900, 68, 11230, 68, 11727, 68, 266, 68, 2307, 13, 3006, 31, 421, 17, 3482, 31, 421, 330, 204, 264, 320, 204, 264, 2069, 4069, 5537, 292, 275, 800, 933, 19, 204, 204, 264, 457, 31, 204, 264, 3124, 322, 339, 330, 334, 3124, 2722, 302, 275, 933, 19, 204, 264, 3482, 322, 339, 330, 334, 3482, 2722, 302, 275, 933, 19, 204, 204, 264, 9112, 31, 204, 264, 421, 31, 334, 1682, 4069, 2415, 292, 275, 933, 19, 204, 264, 320, 204, 264, 314, 1752, 275, 5527, 4069, 542, 6738, 2415, 353, 3114, 1194, 521, 1936, 311, 275, 3124, 2722, 204, 264, 308, 289, 353, 32018, 13, 3006, 14, 204, 264, 1335, 308, 540, 308, 962, 3124, 31, 204, 268, 308, 1412, 368, 204, 264, 1335, 322, 71, 540, 308, 14, 1564, 435, 564, 500, 31, 204, 268, 308, 1412, 368, 204, 264, 314, 2069, 4069, 5537, 292, 275, 933, 204, 264, 1335, 308, 540, 308, 962, 3482, 31, 204, 268, 2136, 308, 1564, 435, 564, 368, 204, 268, 4353, 308, 540, 308, 204, 268, 308, 1412, 435, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 348, 610, 292, 933, 13, 1258, 17, 3861, 330, 204, 268, 314, 41897, 275, 502, 700, 204, 268, 309, 68, 1539, 289, 13356, 68, 82, 68, 876, 13, 93, 14, 204, 268, 314, 888, 275, 933, 348, 309, 204, 268, 265, 289, 368, 19, 32294, 204, 268, 309, 68, 3006, 289, 421, 13, 82, 68, 1539, 540, 368, 802, 265, 14, 338, 368, 204, 268, 309, 68, 5231, 289, 421, 13, 82, 68, 1539, 540, 265, 14, 465, 368, 204, 268, 314, 1752, 275, 1043, 1988, 292, 275, 933, 204, 268, 1988, 289, 1020, 68, 2922, 68, 7107, 68, 266, 68, 2307, 13, 82, 68, 3006, 17, 309, 68, 5231, 14, 204, 268, 397, 1988, 31, 204, 305, 300, 17, 309, 289, 1988, 204, 305, 456, 13, 83, 465, 309, 14, 204, 305, 314, 778, 397, 275, 1066, 302, 300, 329, 309, 10472, 368, 74, 1258, 204, 305, 397, 300, 465, 309, 3721, 421, 13, 22, 74, 1258, 330, 204, 485, 456, 13, 75, 4705, 83, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 98, 5631, 329, 463, 82, 98, 4720, 534, 204, 485, 2280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 2920, 4935, 1120, 275, 17154, 1523, 2518, 41791, 275, 4279, 36, 204, 204, 1449, 2616, 808, 1844, 17, 572, 1519, 311, 3126, 275, 5914, 302, 275, 4279, 329, 275, 17154, 19, 334, 4279, 353, 21061, 27138, 440, 437, 1419, 3581, 17, 329, 275, 17154, 353, 4436, 311, 13106, 490, 19, 716, 204, 4377, 31, 204, 18, 807, 6329, 3581, 302, 275, 4279, 289, 720, 309, 20, 88, 322, 398, 3998, 14, 204, 18, 25154, 3913, 311, 8770, 322, 76, 14, 289, 931, 309, 20, 88, 67, 23, 322, 2974, 3998, 14, 204, 18, 334, 17154, 677, 2969, 289, 571, 309, 20, 88, 322, 13438, 14, 204, 204, 5834, 17, 2249, 677, 949, 275, 690, 490, 5178, 348, 275, 4279, 311, 5288, 1163, 1646, 1853, 329, 407, 311, 275, 1419, 1853, 19, 204, 204, 4931, 275, 1581, 31, 628, 75, 289, 9427, 465, 13900, 17, 1273, 628, 75, 289, 500, 322, 269, 1646, 1853, 659, 9427, 289, 720, 309, 20, 88, 17, 329, 357, 289, 931, 309, 20, 88, 67, 23, 17, 572, 618, 1020, 275, 690, 311, 5288, 275, 1646, 1853, 31, 204, 21, 289, 720, 465, 3457, 1003, 14, 89, 204, 21, 289, 720, 338, 931, 89, 204, 1003, 89, 289, 720, 204, 89, 289, 500, 19, 26, 3331, 204, 204, 4592, 275, 4279, 5178, 275, 1729, 690, 311, 5573, 1818, 311, 1163, 1419, 1853, 17, 275, 1113, 690, 353, 368, 1350, 19, 204, 204, 4063, 17, 2249, 677, 949, 275, 5954, 11492, 302, 275, 4279, 19, 3355, 17, 572, 529, 508, 800, 275, 1419, 5954, 3581, 302, 275, 4279, 19, 6652, 275, 4279, 353, 21061, 7400, 719, 17, 1163, 5954, 3581, 353, 500, 309, 20, 88, 19, 204, 204, 4259, 572, 2379, 275, 17154, 677, 2969, 353, 571, 309, 20, 88, 19, 2416, 13106, 275, 4279, 17, 275, 17154, 329, 275, 4279, 1631, 874, 275, 1729, 5954, 11492, 19, 4682, 275, 4279, 677, 5954, 3581, 353, 508, 800, 17, 2249, 677, 5257, 490, 677, 21061, 440, 273, 5954, 3581, 496, 6876, 275, 17154, 311, 13106, 490, 19, 204, 204, 673, 17154, 677, 5954, 11492, 292, 368, 1350, 353, 31, 204, 93, 289, 48848, 289, 571, 540, 368, 289, 571, 309, 204, 204, 4592, 275, 17154, 329, 275, 4279, 1631, 874, 275, 1729, 5954, 11492, 311, 13106, 275, 4279, 17, 275, 4279, 677, 5954, 11492, 353, 1425, 571, 309, 19, 204, 204, 4356, 17, 275, 17154, 1120, 1523, 571, 6166, 2518, 41791, 275, 4279, 19, 0, 673, 9206, 24448, 1405, 3332, 275, 3773, 302, 32268, 1277, 329, 1163, 5800, 523, 33466, 5914, 17, 8578, 292, 8387, 31658, 19, 334, 667, 2717, 353, 3855, 6397, 604, 1387, 322, 74, 19, 76, 2458, 6397, 4494, 19497, 14, 1308, 437, 12312, 292, 9471, 2969, 329, 2347, 19, 204, 204, 5842, 4601, 353, 496, 32268, 1277, 353, 37803, 17, 448, 275, 2969, 630, 275, 1136, 302, 275, 32268, 353, 19264, 6246, 275, 2969, 630, 275, 3466, 302, 3284, 17, 16527, 302, 32268, 1277, 19, 3355, 17, 808, 18479, 273, 3277, 570, 1273, 275, 3466, 302, 3284, 353, 19264, 41983, 4558, 275, 32268, 19, 204, 204, 12695, 88, 21836, 496, 6397, 604, 1387, 618, 1900, 1182, 2969, 17, 1101, 490, 677, 508, 15491, 3277, 311, 1225, 685, 5566, 19, 3433, 4894, 496, 275, 6745, 72, 7176, 322, 74, 19, 76, 2458, 275, 31974, 14, 329, 275, 3726, 302, 32268, 5466, 523, 4260, 1653, 302, 275, 6745, 72, 7176, 1370, 273, 11897, 4263, 292, 15628, 275, 12312, 302, 6397, 604, 1387, 19, 204, 204, 38, 896, 917, 353, 496, 275, 5914, 353, 508, 2842, 1465, 275, 4494, 3040, 17, 1101, 1425, 5628, 275, 5641, 11459, 5649, 17, 2864, 275, 38875, 17, 373, 4110, 17, 329, 13624, 19, 334, 732, 302, 275, 2258, 18, 3040, 322, 5198, 18, 427, 22855, 9739, 14, 353, 1425, 14511, 17, 440, 1429, 45911, 496, 490, 7894, 311, 1900, 2347, 329, 5261, 23081, 496, 490, 677, 508, 6456, 19, 204, 204, 673, 12081, 26023, 523, 275, 6733, 496, 275, 25161, 302, 33466, 4230, 444, 19486, 1194, 1250, 5111, 17, 329, 496, 1048, 18, 1668, 729, 1070, 5337, 618, 3014, 311, 9578, 19, 334, 8622, 302, 2133, 36623, 17, 19730, 17, 329, 12559, 3326, 353, 1425, 36986, 19, 204, 204, 8390, 9764, 1728, 329, 3888, 24153, 497, 275, 9206, 31, 204, 204, 15, 4208, 275, 31974, 275, 6745, 72, 7176, 292, 275, 33466, 5914, 17, 329, 397, 754, 17, 1583, 490, 1308, 1169, 2318, 41512, 36, 204, 15, 3899, 6397, 604, 1387, 1900, 1182, 2347, 17, 329, 397, 754, 17, 5566, 36, 204, 15, 2026, 1583, 275, 732, 302, 275, 2258, 18, 3040, 14863, 311, 275, 33466, 5914, 36, 204, 15, 4208, 275, 3773, 302, 388, 6190, 9559, 275, 39275, 7, 292, 4494, 4659, 32129, 273, 19420, 17, 329, 397, 754, 17, 2075, 677, 275, 2641, 4263, 302, 275, 39275, 292, 9471, 2347, 36, 204, 204, 26212, 17, 275, 9206, 22442, 275, 9253, 302, 275, 33466, 5914, 329, 275, 1519, 348, 273, 17540, 5384, 302, 275, 11750, 24305, 329, 11258, 19, 0, 1189, 10922, 11406, 990, 6245, 831, 1001, 12625, 41905, 7118, 1999, 34321, 20661, 3235, 408, 11999, 30525, 18792, 5137, 30058, 9959, 34438, 568, 21874, 408, 6039, 255, 7392, 2112, 32296, 43904, 16792, 16236, 725, 19935, 37363, 408, 15860, 9228, 18792, 5137, 28451, 10717, 16236, 568, 5718, 408, 6039, 255, 7392, 2112, 18792, 39115, 4924, 4821, 2499, 1603, 9358, 34321, 26077, 8255, 1227, 20434, 3590, 15860, 36613, 408, 48152, 8255, 1227, 20434, 1603, 34321, 26077, 3590, 28250, 408, 11999, 7118, 1999, 18792, 5137, 568, 204, 22, 725, 27981, 27600, 460, 45498, 2122, 5295, 6395, 5659, 12744, 13592, 2575, 2860, 37591, 53, 628, 346, 2575, 8792, 408, 27981, 5259, 10166, 921, 1432, 11494, 2654, 1390, 3058, 204, 19712, 1984, 2149, 230, 26379, 8709, 34237, 5381, 10577, 5368, 3031, 47428, 3491, 5265, 2677, 34237, 5381, 8846, 6577, 3977, 2849, 42, 5485, 1773, 14, 204, 23, 725, 942, 9190, 13644, 27564, 4769, 1227, 4345, 6444, 36685, 4769, 408, 3038, 2336, 17125, 725, 15093, 44827, 6233, 6770, 725, 5038, 6770, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 568, 204, 22, 725, 5295, 29336, 18792, 5137, 9459, 408, 1603, 15429, 18792, 13261, 725, 44019, 5295, 3590, 4068, 725, 13833, 725, 23558, 3058, 204, 23, 725, 17164, 4345, 6444, 36685, 460, 18792, 46610, 7813, 9190, 17359, 408, 17164, 4345, 6444, 36685, 2321, 29377, 6301, 2094, 2321, 20152, 10880, 5727, 25, 6377, 3058, 204, 24, 725, 9190, 13644, 2321, 44557, 21103, 18792, 46610, 7813, 9190, 17359, 568, 204, 23, 725, 9190, 13644, 2321, 44557, 4769, 1227, 17164, 4345, 6444, 36685, 4769, 4771, 1262, 18792, 18840, 3058, 204, 24, 725, 18792, 2321, 9942, 45774, 13561, 17249, 408, 18792, 46610, 5295, 6395, 831, 1262, 831, 3445, 15093, 568, 204, 0, 647, 304, 204, 647, 1127, 204, 204, 461, 353, 68, 5457, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 510, 353, 2510, 560, 4488, 1163, 4578, 329, 9101, 348, 3749, 3154, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 510, 353, 2510, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 3594, 275, 510, 292, 2510, 2291, 311, 1356, 348, 3749, 3154, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 6952, 534, 448, 510, 68, 1386, 31, 204, 268, 314, 1606, 273, 5212, 302, 275, 510, 311, 4516, 4644, 3403, 1860, 1025, 4843, 204, 268, 5212, 289, 510, 68, 1386, 19, 976, 13, 12958, 14, 204, 268, 407, 308, 8761, 93, 473, 12, 292, 5212, 204, 204, 461, 636, 68, 492, 68, 2375, 13, 2100, 31, 394, 14, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 3596, 273, 458, 302, 1068, 1860, 292, 275, 1713, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 322, 325, 330, 334, 1445, 311, 1813, 348, 1068, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 1068, 510, 3630, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 1068, 510, 3630, 204, 264, 1068, 68, 2375, 289, 1306, 204, 264, 314, 1861, 1048, 848, 510, 292, 275, 1445, 204, 264, 348, 510, 68, 417, 292, 1127, 19, 8970, 13, 2100, 330, 204, 268, 314, 5128, 275, 3101, 510, 832, 204, 268, 510, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 2100, 17, 510, 68, 417, 14, 204, 268, 314, 778, 397, 275, 510, 353, 273, 4217, 510, 322, 1551, 273, 1445, 14, 329, 508, 2510, 204, 268, 397, 1127, 19, 546, 19, 13226, 13, 553, 68, 546, 14, 329, 508, 353, 68, 5457, 68, 553, 13, 553, 68, 546, 330, 204, 305, 314, 1255, 275, 510, 832, 311, 275, 458, 302, 1068, 1860, 204, 305, 1068, 68, 2375, 19, 1223, 13, 553, 68, 546, 14, 204, 264, 407, 1068, 68, 2375, 204, 204, 461, 1813, 68, 1538, 68, 4745, 13, 553, 68, 546, 31, 394, 17, 2679, 31, 304, 19, 16983, 14, 393, 443, 31, 204, 264, 320, 204, 264, 20139, 348, 273, 2679, 292, 273, 1068, 510, 329, 5538, 275, 7535, 2238, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 311, 1813, 19, 204, 268, 2679, 322, 272, 19, 16983, 330, 334, 2679, 311, 1813, 348, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 1068, 2291, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 491, 4051, 833, 3102, 18, 29, 534, 448, 510, 68, 1386, 31, 204, 305, 314, 1861, 1048, 848, 1007, 292, 275, 510, 204, 305, 348, 1007, 68, 1190, 17, 1007, 292, 3209, 13, 553, 68, 1386, 17, 1012, 34, 22, 330, 204, 485, 314, 6994, 348, 275, 2679, 292, 275, 1007, 204, 485, 2216, 289, 2679, 19, 1803, 13, 1054, 14, 204, 485, 397, 2216, 31, 204, 895, 314, 1198, 275, 7535, 1007, 329, 2679, 204, 895, 456, 374, 204, 895, 456, 13, 75, 7, 17618, 472, 48808, 292, 510, 31, 463, 553, 68, 546, 743, 204, 895, 456, 13, 75, 7, 9576, 463, 1054, 68, 1190, 2829, 463, 1054, 19, 2892, 8050, 204, 895, 456, 13, 75, 7, 16983, 31, 463, 4054, 19, 2207, 8050, 204, 264, 827, 12368, 448, 318, 31, 204, 268, 314, 1426, 510, 18, 5969, 2744, 204, 268, 456, 13, 75, 7, 596, 4488, 510, 463, 553, 68, 546, 2829, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 575, 537, 348, 275, 4217, 2231, 204, 264, 575, 68, 768, 289, 537, 499, 2101, 273, 1097, 4217, 2231, 440, 1236, 14257, 31, 2810, 204, 264, 810, 31, 204, 268, 314, 11886, 275, 4217, 2231, 204, 268, 15782, 68, 11776, 289, 304, 19, 7354, 13, 75, 33609, 816, 68, 768, 16048, 204, 264, 827, 304, 19, 718, 448, 318, 31, 204, 268, 314, 1426, 2872, 4217, 7277, 204, 268, 456, 13, 75, 7, 1962, 4217, 2231, 31, 463, 74, 743, 204, 268, 407, 204, 204, 264, 314, 763, 275, 458, 302, 1068, 1860, 292, 275, 790, 1445, 204, 264, 1068, 68, 2375, 289, 636, 68, 492, 68, 2375, 24156, 204, 264, 314, 6994, 348, 275, 2679, 292, 848, 1068, 510, 204, 264, 348, 510, 68, 546, 292, 1068, 68, 2375, 31, 204, 268, 1813, 68, 1538, 68, 4745, 13, 553, 68, 546, 17, 15782, 68, 11776, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 5399, 529, 1598, 10114, 311, 1340, 18844, 504, 10942, 348, 3859, 17, 27576, 560, 3397, 31, 204, 204, 1380, 9877, 552, 10562, 204, 204, 22, 19, 930, 9658, 14106, 440, 2468, 3054, 1416, 1974, 275, 13781, 6045, 280, 1216, 311, 9356, 928, 5869, 874, 2468, 3054, 19, 346, 805, 1214, 1922, 1025, 273, 283, 337, 329, 4609, 848, 13781, 6045, 280, 329, 20941, 2105, 273, 2699, 17, 4145, 440, 10137, 19, 26165, 6045, 280, 5869, 874, 7207, 3054, 17, 1335, 20941, 2105, 5869, 874, 2468, 3054, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17, 827, 11788, 19, 204, 23, 19, 930, 20542, 30033, 1416, 666, 16518, 6410, 2090, 388, 25, 24772, 465, 681, 24458, 9329, 382, 379, 29, 12, 273, 35856, 7, 329, 388, 27, 348, 24372, 465, 887, 348, 2745, 44416, 9329, 1598, 17, 273, 26577, 7, 311, 1340, 9356, 4998, 10942, 19, 204, 24, 19, 930, 14799, 1693, 8783, 4125, 523, 273, 1582, 1416, 2649, 541, 1214, 1656, 311, 15080, 322, 1766, 20566, 14, 2518, 15318, 719, 322, 18268, 21158, 14, 311, 1340, 1475, 9356, 275, 1552, 302, 2758, 19, 204, 25, 19, 930, 37875, 302, 7654, 1416, 1974, 275, 36261, 388, 837, 46791, 3665, 11631, 7, 311, 9356, 275, 1552, 302, 4099, 31, 16272, 17, 6789, 17, 22429, 17, 329, 12137, 19, 204, 26, 19, 930, 30, 2666, 1435, 1416, 1974, 273, 1922, 17764, 311, 1340, 9356, 275, 1233, 2666, 1435, 19, 3239, 1214, 22042, 497, 368, 311, 931, 17, 1675, 36560, 1873, 275, 14992, 3310, 311, 275, 6177, 1844, 19, 334, 22042, 311, 275, 1824, 302, 275, 32829, 14992, 1173, 275, 12738, 3717, 17, 329, 275, 22042, 311, 275, 1629, 1173, 275, 6399, 3717, 19, 204, 204, 1380, 4585, 12460, 36956, 204, 204, 22, 19, 930, 46, 2518, 471, 1416, 39224, 275, 19763, 10837, 388, 46, 2518, 471, 827, 1877, 346, 17, 521, 1330, 5316, 299, 2090, 332, 448, 292, 6199, 329, 15092, 7, 440, 273, 24601, 311, 1340, 9356, 2805, 19, 204, 23, 19, 930, 38570, 329, 8732, 1416, 1974, 17857, 2090, 388, 38, 6914, 353, 8965, 1415, 1120, 9291, 440, 872, 311, 275, 1136, 7, 329, 388, 5058, 872, 8732, 273, 14029, 14581, 311, 1340, 9356, 275, 1706, 16951, 880, 19, 204, 24, 19, 930, 18365, 18, 11438, 299, 2159, 1416, 1974, 17857, 2090, 388, 2841, 869, 273, 2481, 292, 490, 322, 2420, 13287, 329, 388, 36837, 869, 273, 1874, 292, 490, 322, 1947, 4669, 296, 13287, 311, 1340, 21757, 1283, 2159, 2090, 1422, 17, 1017, 17, 329, 1250, 7188, 19, 204, 25, 19, 930, 57, 19247, 94, 2159, 1416, 1974, 814, 1816, 21533, 2090, 388, 14813, 36824, 618, 4501, 3126, 2637, 36824, 7, 311, 9356, 2159, 2090, 2404, 17, 329, 17857, 2090, 388, 70, 6508, 7, 6204, 311, 9356, 2159, 2090, 7490, 19, 204, 204, 1380, 8134, 30275, 204, 204, 22, 19, 930, 17724, 2187, 1416, 1974, 275, 36261, 388, 7061, 31279, 9465, 756, 26352, 11815, 3983, 1462, 15167, 392, 714, 865, 7, 311, 9356, 275, 1552, 302, 275, 18834, 19, 204, 23, 19, 930, 9339, 8822, 1416, 1974, 814, 1816, 21533, 2090, 388, 51, 1826, 39820, 387, 1312, 1997, 595, 5042, 793, 7, 311, 9356, 24112, 7505, 17, 329, 17857, 2090, 388, 38597, 869, 437, 379, 51, 12, 2090, 8616, 7, 311, 21757, 1283, 7754, 329, 7581, 19, 204, 24, 19, 930, 22869, 1416, 39224, 275, 44413, 388, 5681, 4815, 353, 2223, 17, 7523, 273, 5631, 13993, 19, 4168, 4815, 353, 3264, 17, 7523, 8434, 521, 12855, 7, 311, 1340, 9356, 5583, 3758, 19, 204, 25, 19, 930, 30764, 34609, 1416, 1974, 275, 36261, 388, 7061, 20061, 28355, 677, 791, 3483, 332, 92, 30337, 7, 311, 9356, 275, 5544, 4376, 34609, 31, 25948, 17, 11340, 17, 6830, 17, 45781, 17, 329, 41124, 4825, 19, 0, 647, 3805, 448, 1246, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 4378, 19, 18257, 532, 12121, 35264, 204, 647, 2010, 448, 645, 204, 531, 2665, 447, 19, 11972, 532, 25076, 204, 204, 8, 4861, 204, 8992, 42371, 289, 1233, 19, 7900, 226, 314, 309, 20, 88, 67, 23, 204, 1119, 50, 68, 43123, 8571, 68, 18313, 289, 379, 85, 68, 44208, 12, 226, 314, 45815, 4815, 1837, 588, 204, 2530, 11023, 4524, 68, 18313, 289, 379, 73, 68, 85, 12, 226, 314, 25688, 1837, 588, 204, 204, 461, 1137, 68, 416, 68, 5614, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 927, 64, 2600, 19, 1362, 17, 1246, 19, 1362, 744, 204, 264, 320, 204, 264, 5984, 424, 497, 437, 6057, 510, 17, 37352, 490, 17, 329, 2584, 275, 424, 329, 2072, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6057, 510, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 2600, 19, 1362, 17, 1246, 19, 1362, 744, 332, 927, 1174, 275, 5872, 424, 329, 2072, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 497, 6057, 510, 204, 264, 424, 289, 1246, 19, 976, 68, 9671, 13, 553, 68, 546, 14, 204, 204, 264, 314, 8414, 275, 424, 204, 264, 424, 19, 3786, 289, 424, 19, 3786, 19, 325, 2022, 23, 1664, 325, 19, 3006, 374, 204, 264, 794, 10284, 3435, 68, 715, 341, 89, 4666, 289, 424, 19, 8751, 64, 21, 31, 25, 17, 435, 1664, 11380, 374, 204, 264, 679, 11976, 68, 715, 341, 89, 4666, 289, 424, 19, 8751, 64, 21, 31, 25, 17, 571, 1664, 11380, 374, 204, 264, 2072, 289, 1246, 19, 1362, 13, 998, 4980, 577, 11976, 2043, 2630, 34, 350, 10284, 3435, 68, 715, 341, 89, 4666, 14, 204, 264, 2072, 19, 1229, 736, 577, 11976, 839, 289, 679, 11976, 68, 715, 341, 89, 4666, 204, 264, 2072, 19, 3786, 289, 2072, 19, 3786, 19, 325, 9128, 27, 1664, 325, 19, 2892, 374, 204, 204, 264, 314, 8414, 424, 204, 264, 424, 289, 424, 19, 5613, 13, 998, 3603, 21, 17, 368, 17, 435, 17, 571, 17, 681, 694, 204, 264, 424, 289, 424, 19, 23899, 13, 15370, 833, 1933, 491, 3138, 34, 22, 14, 204, 264, 300, 347, 4047, 68, 982, 289, 424, 19, 8751, 64, 21, 1664, 11380, 8083, 22, 5853, 204, 264, 424, 289, 424, 19, 5613, 13, 998, 34, 481, 19, 998, 64, 21, 648, 3138, 34, 21, 14, 204, 264, 300, 347, 4047, 68, 982, 289, 2470, 839, 465, 300, 347, 4047, 68, 982, 204, 264, 424, 19, 3786, 289, 300, 347, 4047, 68, 982, 204, 264, 424, 289, 424, 19, 574, 68, 998, 13, 3261, 11456, 204, 264, 424, 19, 998, 19, 417, 289, 379, 1075, 12, 204, 264, 424, 19, 3786, 289, 424, 19, 3786, 19, 325, 9128, 25, 1664, 325, 19, 2892, 374, 204, 204, 264, 407, 424, 17, 2072, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 204, 461, 949, 68, 23435, 68, 416, 68, 4321, 981, 13, 481, 31, 1246, 19, 1362, 17, 2072, 31, 1246, 19, 1362, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 3989, 14827, 329, 25393, 1609, 523, 275, 424, 329, 2072, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 5872, 424, 19, 204, 268, 2072, 322, 2600, 19, 1362, 330, 334, 2072, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 424, 440, 3392, 14827, 329, 25393, 19, 204, 264, 320, 204, 264, 314, 888, 14827, 329, 25393, 204, 264, 14827, 17, 25393, 289, 7541, 1306, 204, 264, 348, 1112, 17, 1237, 292, 424, 19, 22091, 1293, 204, 268, 10499, 289, 322, 3465, 19, 269, 736, 577, 11976, 491, 14547, 11023, 4524, 68, 18313, 66, 802, 3861, 14, 802, 435, 204, 268, 1864, 68, 772, 289, 645, 19, 1460, 540, 10499, 930, 435, 204, 268, 3351, 289, 1864, 68, 772, 540, 322, 937, 736, 77, 839, 802, 3861, 14, 204, 268, 4815, 289, 5796, 937, 736, 365, 3804, 839, 802, 3861, 14, 540, 32480, 42371, 14, 802, 1864, 68, 772, 204, 268, 4815, 1412, 2072, 19, 269, 736, 577, 11976, 491, 40968, 68, 43123, 8571, 66, 204, 268, 14827, 19, 1223, 13, 6811, 14, 204, 268, 25393, 19, 1223, 13, 14746, 14, 204, 204, 264, 314, 6461, 3392, 14827, 329, 25393, 1025, 275, 424, 204, 264, 424, 19, 5021, 13, 23, 17, 379, 59, 491, 14827, 14, 204, 264, 424, 19, 5021, 13, 24, 17, 379, 53, 491, 25393, 14, 204, 204, 264, 407, 424, 204, 204, 461, 1807, 68, 8283, 15514, 68, 365, 3804, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 38448, 15514, 20, 50, 21785, 11228, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 440, 3392, 14827, 329, 25393, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 329, 3138, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 204, 264, 314, 3045, 275, 424, 204, 264, 11282, 289, 424, 19, 22091, 374, 204, 264, 1237, 289, 1682, 13, 15554, 14, 204, 264, 1513, 19, 1778, 611, 5876, 616, 321, 365, 686, 44445, 15514, 20, 50, 21785, 9, 6924, 4858, 84, 534, 204, 264, 1513, 19, 7127, 611, 50, 21785, 7269, 76, 3920, 534, 204, 264, 1513, 19, 7246, 611, 44445, 15514, 7269, 649, 3920, 534, 204, 264, 348, 906, 292, 933, 13, 1796, 13, 481, 14, 338, 368, 330, 204, 268, 373, 22, 17, 309, 22, 289, 1237, 64, 22, 6690, 77, 2043, 1237, 64, 22, 6690, 365, 3804, 839, 204, 268, 300, 22, 289, 1237, 64, 21, 66, 204, 268, 1237, 289, 1682, 13, 15554, 14, 204, 268, 373, 23, 17, 309, 23, 289, 1237, 64, 22, 6690, 77, 2043, 1237, 64, 22, 6690, 365, 3804, 839, 204, 268, 300, 23, 289, 1237, 64, 21, 66, 204, 268, 19696, 38, 289, 379, 481, 12, 204, 268, 19696, 39, 289, 379, 481, 12, 204, 268, 378, 289, 12121, 35264, 1802, 77, 22, 17, 309, 22, 659, 322, 77, 23, 17, 309, 23, 659, 19696, 38, 17, 19696, 39, 17, 204, 17095, 16561, 4007, 1022, 18, 583, 528, 23300, 38, 34, 26, 17, 23300, 39, 34, 26, 17, 204, 17095, 13680, 68, 3782, 34, 1036, 17, 19224, 1022, 92, 431, 204, 268, 1711, 19, 1657, 1568, 77, 22, 17, 373, 23, 648, 551, 82, 22, 17, 309, 23, 648, 379, 702, 534, 204, 268, 1711, 19, 492, 13, 204, 305, 373, 22, 465, 500, 19, 23, 17, 309, 22, 465, 368, 17, 300, 22, 17, 204, 305, 6329, 19051, 833, 10568, 491, 5954, 19051, 833, 1735, 491, 204, 305, 15398, 34, 1258, 17, 4514, 3374, 833, 14442, 12, 204, 268, 1179, 204, 268, 1711, 19, 826, 68, 12891, 13, 495, 14, 204, 204, 264, 314, 46614, 275, 1807, 204, 264, 1711, 19, 47056, 736, 1633, 3750, 574, 68, 12751, 13, 1975, 14, 204, 264, 1711, 19, 47056, 736, 2723, 3750, 574, 68, 12751, 13, 1975, 14, 204, 204, 264, 314, 3025, 329, 2248, 275, 1807, 204, 264, 1513, 19, 12273, 611, 861, 75, 68, 365, 491, 23491, 34, 7077, 17, 14185, 68, 22520, 833, 14923, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 1807, 68, 20995, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 415, 20, 59, 11228, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 440, 3392, 14827, 329, 25393, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 329, 3138, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 204, 264, 314, 3045, 275, 424, 204, 264, 11282, 289, 424, 19, 22091, 374, 204, 264, 1237, 289, 1682, 13, 15554, 14, 204, 264, 1513, 19, 1778, 611, 5876, 616, 321, 365, 686, 53, 20, 59, 9, 6924, 4858, 84, 534, 204, 264, 1513, 19, 7127, 611, 29111, 288, 14584, 5712, 9, 11953, 204, 264, 1513, 19, 7246, 611, 11627, 47819, 14584, 1003, 5373, 26, 98, 82, 67, 24, 9, 11953, 204, 264, 348, 906, 292, 933, 13, 1796, 13, 481, 14, 338, 368, 330, 204, 268, 376, 22, 17, 284, 22, 289, 1237, 64, 22, 6690, 59, 2043, 1237, 64, 22, 6690, 53, 839, 204, 268, 300, 22, 289, 1237, 64, 21, 66, 204, 268, 1237, 289, 1682, 13, 15554, 14, 204, 268, 376, 23, 17, 284, 23, 289, 1237, 64, 22, 6690, 59, 2043, 1237, 64, 22, 6690, 53, 839, 204, 268, 300, 23, 289, 1237, 64, 21, 66, 204, 268, 19696, 38, 289, 379, 481, 12, 204, 268, 19696, 39, 289, 379, 481, 12, 204, 268, 378, 289, 12121, 35264, 1802, 91, 22, 17, 284, 22, 659, 322, 91, 23, 17, 284, 23, 659, 19696, 38, 17, 19696, 39, 17, 204, 17095, 16561, 4007, 1022, 18, 583, 528, 23300, 38, 34, 26, 17, 23300, 39, 34, 26, 17, 204, 17095, 13680, 68, 3782, 34, 1036, 17, 19224, 1022, 92, 431, 204, 268, 1513, 19, 1657, 1568, 91, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22, 17, 376, 23, 648, 551, 85, 22, 17, 284, 23, 648, 379, 702, 534, 204, 268, 1711, 19, 492, 13, 204, 305, 376, 22, 17, 284, 22, 465, 2153, 17, 300, 22, 2022, 22, 648, 204, 305, 6329, 19051, 833, 10568, 491, 5954, 19051, 833, 1735, 491, 204, 305, 15398, 34, 1258, 17, 4514, 3374, 833, 14442, 12, 204, 268, 1179, 204, 268, 1711, 19, 826, 68, 12891, 13, 495, 14, 204, 204, 264, 314, 46614, 275, 1807, 204, 264, 1711, 19, 47056, 736, 1633, 3750, 574, 68, 12751, 13, 1975, 14, 204, 264, 1711, 19, 47056, 736, 2723, 3750, 574, 68, 12751, 13, 1975, 14, 204, 204, 264, 314, 3025, 329, 2248, 275, 1807, 204, 264, 1513, 19, 12273, 611, 861, 75, 68, 20995, 491, 23491, 34, 7077, 17, 14185, 68, 22520, 833, 14923, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 949, 68, 4670, 13, 481, 31, 1246, 19, 1362, 14, 393, 818, 31, 204, 264, 320, 204, 264, 3989, 275, 1864, 302, 275, 22306, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 440, 3392, 14827, 329, 25393, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 1864, 302, 275, 22306, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1864, 302, 275, 22306, 204, 264, 1034, 289, 7041, 13, 481, 19, 269, 736, 41, 491, 379, 59, 839, 338, 424, 19, 269, 736, 38, 491, 379, 59, 2378, 204, 264, 1853, 289, 7041, 13, 481, 19, 269, 736, 39, 491, 379, 53, 839, 338, 424, 19, 269, 736, 38, 491, 379, 53, 2378, 204, 264, 1864, 289, 1034, 540, 1853, 204, 204, 264, 407, 1864, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1385, 329, 3106, 275, 424, 204, 264, 510, 68, 546, 289, 379, 3029, 68, 24, 18, 4041, 68, 25, 19, 14140, 12, 204, 264, 424, 17, 2072, 289, 1137, 68, 416, 68, 5614, 68, 481, 13, 553, 68, 546, 14, 204, 264, 456, 13, 481, 14, 204, 264, 456, 13, 3465, 14, 204, 204, 264, 314, 888, 14827, 329, 25393, 204, 264, 424, 289, 949, 68, 23435, 68, 416, 68, 4321, 981, 13, 481, 17, 2072, 14, 204, 264, 456, 13, 481, 14, 204, 204, 264, 314, 3045, 275, 21608, 204, 264, 1807, 68, 8283, 15514, 68, 365, 3804, 13, 481, 14, 204, 264, 1807, 68, 20995, 13, 481, 14, 204, 204, 264, 314, 888, 275, 1864, 302, 275, 22306, 204, 264, 1864, 289, 949, 68, 4670, 13, 481, 14, 204, 264, 456, 13, 75, 7, 8928, 31, 463, 4670, 98, 871, 431, 204, 204, 264, 314, 1198, 275, 424, 292, 29657, 1883, 204, 264, 456, 13, 481, 19, 633, 68, 31556, 1447, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 3732, 348, 2907, 48896, 396, 7177, 19, 204, 204, 1834, 2413, 3629, 4364, 329, 3263, 348, 2907, 48896, 396, 7177, 19, 204, 3837, 6019, 273, 2522, 348, 14064, 2907, 329, 273, 2013, 496, 10036, 20111, 19, 204, 315, 204, 204, 367, 3228, 2478, 367, 289, 388, 272, 16938, 7014, 3430, 7, 204, 204, 647, 1127, 204, 531, 1498, 532, 1884, 17, 2334, 204, 204, 647, 37749, 19, 16478, 19, 19773, 19, 6964, 204, 531, 2747, 52, 3349, 19, 25212, 2940, 532, 43595, 596, 204, 204, 531, 37749, 532, 4781, 204, 531, 37749, 532, 4510, 204, 531, 37749, 19, 748, 19, 9154, 19, 14213, 532, 2747, 40, 1972, 9384, 204, 204, 8, 968, 17525, 204, 676, 382, 2534, 5215, 3317, 13, 9259, 19, 15190, 330, 204, 264, 320, 204, 264, 1346, 4510, 348, 273, 28867, 850, 19, 204, 264, 320, 204, 264, 1879, 204, 204, 8, 968, 4131, 204, 676, 1736, 17930, 9384, 13, 63, 40, 1972, 9384, 330, 204, 264, 320, 204, 264, 332, 2522, 348, 14064, 2907, 302, 48896, 396, 7177, 19, 204, 204, 264, 1058, 2522, 13401, 275, 379, 75, 9154, 19, 95, 72, 1368, 12, 1586, 510, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 2234, 3853, 924, 889, 204, 305, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 1590, 3843, 553, 4422, 64, 21, 648, 379, 75, 9154, 19, 95, 72, 1368, 2008, 204, 305, 589, 417, 14909, 379, 3543, 17930, 9384, 491, 2512, 68, 37219, 34, 1021, 14, 204, 204, 8, 968, 4364, 204, 37, 9259, 19, 23648, 270, 13, 46, 2534, 5215, 3317, 14, 204, 676, 4657, 5215, 3317, 31, 204, 264, 320, 204, 264, 332, 850, 496, 22987, 275, 382, 2534, 5215, 3317, 4510, 19, 204, 264, 320, 204, 264, 1879, 204, 204, 37, 9259, 19, 23648, 270, 13, 18734, 396, 19, 16478, 19, 19773, 19, 6964, 19, 46, 26876, 18988, 14, 204, 37, 8264, 19, 20003, 13, 9259, 19, 15190, 17, 204, 13429, 37749, 19, 16478, 19, 19773, 19, 6964, 19, 46, 26876, 2862, 14, 204, 676, 43595, 7626, 5809, 3244, 31, 204, 264, 320, 204, 264, 332, 2013, 496, 10036, 273, 9422, 908, 19, 204, 204, 264, 1058, 2013, 353, 1376, 311, 683, 9422, 6886, 292, 48896, 396, 7177, 19, 204, 264, 320, 204, 264, 589, 5293, 68, 1538, 367, 289, 382, 2534, 5215, 3317, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2085, 31, 726, 17, 824, 31, 37749, 19, 16478, 19, 19773, 19, 6964, 19, 46, 26876, 2862, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 2013, 19, 204, 204, 268, 1164, 2394, 2085, 31, 334, 2085, 726, 19, 204, 268, 1164, 2394, 824, 31, 334, 5214, 824, 19, 204, 268, 320, 204, 268, 370, 19, 3348, 289, 2085, 204, 268, 370, 19, 1443, 289, 824, 204, 204, 264, 436, 5214, 68, 2305, 13, 327, 17, 540, 1038, 31, 2334, 14, 393, 1884, 64, 5588, 17, 1884, 64, 5588, 17, 38018, 204, 268, 320, 204, 268, 455, 275, 1540, 5214, 2013, 19, 204, 204, 268, 1164, 3309, 31, 332, 927, 1174, 275, 2013, 329, 1163, 1906, 19, 204, 268, 320, 204, 268, 407, 370, 17, 28302, 204, 204, 264, 436, 589, 2960, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5149, 273, 9422, 908, 19, 204, 204, 268, 1164, 11688, 43595, 596, 31, 332, 9422, 908, 440, 273, 11100, 943, 19, 204, 268, 320, 204, 268, 314, 5149, 273, 9422, 908, 440, 273, 11100, 943, 204, 268, 980, 43595, 596, 499, 38, 9422, 3129, 1335, 5539, 275, 824, 1280, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 1014, 302, 275, 43595, 7626, 5809, 3244, 204, 264, 2013, 289, 43595, 7626, 5809, 3244, 13, 3170, 17, 443, 14, 204, 615, 264, 810, 31, 204, 268, 314, 4889, 275, 2013, 204, 268, 2013, 374, 204, 264, 827, 43595, 596, 448, 318, 31, 204, 268, 314, 1426, 275, 9422, 908, 204, 268, 456, 13, 75, 7, 12675, 7797, 908, 31, 463, 74, 743, 204, 0, 647, 1875, 204, 647, 4974, 204, 647, 3259, 78, 470, 23, 19, 19568, 448, 18280, 204, 531, 3259, 23, 49032, 19, 1234, 19, 29751, 532, 2086, 68, 11222, 17, 5082, 266, 68, 11222, 17, 636, 68, 2256, 204, 531, 3259, 23, 49032, 19, 2005, 532, 322, 3143, 68, 11202, 68, 2062, 17, 2399, 68, 668, 68, 2062, 17, 204, 15839, 2399, 68, 48962, 68, 2062, 14, 204, 531, 3259, 23, 49032, 19, 1234, 19, 3978, 532, 22180, 68, 3802, 68, 4415, 17, 636, 68, 2301, 18942, 68, 274, 1980, 17, 22180, 68, 23421, 72, 204, 204, 8, 968, 273, 2363, 1187, 348, 919, 1445, 204, 11927, 68, 4887, 289, 4974, 19, 4203, 13, 553, 68, 779, 533, 34, 1975, 17, 7892, 68, 779, 533, 34, 1021, 17, 2560, 34, 1021, 14, 204, 204, 461, 15802, 68, 1835, 13, 1835, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 1714, 943, 311, 275, 6474, 440, 1848, 5927, 19, 204, 204, 264, 457, 31, 204, 268, 1714, 322, 873, 330, 332, 955, 1174, 275, 1714, 943, 19, 204, 264, 320, 204, 264, 1007, 289, 1875, 19, 7362, 13, 1835, 14, 204, 264, 314, 1974, 273, 955, 311, 2304, 1714, 311, 1848, 204, 264, 1848, 68, 1608, 289, 463, 204, 268, 379, 718, 597, 379, 747, 491, 204, 268, 379, 5903, 597, 379, 9378, 12, 204, 264, 1211, 204, 264, 1848, 289, 1848, 68, 1608, 19, 505, 13, 1835, 736, 1835, 2043, 379, 17903, 534, 204, 264, 4974, 19, 277, 1595, 13, 1054, 17, 17575, 34, 2640, 17, 9981, 34, 1835, 736, 1835, 839, 564, 379, 718, 534, 204, 204, 37, 4357, 19, 2207, 374, 204, 461, 1610, 374, 393, 443, 31, 204, 264, 320, 673, 1610, 1354, 1627, 1279, 204, 264, 1879, 204, 204, 37, 2125, 19, 2207, 374, 204, 461, 2399, 374, 393, 443, 31, 204, 264, 320, 673, 2399, 1354, 1627, 1279, 204, 264, 1879, 204, 204, 37, 3143, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 11202, 491, 1187, 34, 325, 14, 204, 37, 4357, 19, 2389, 611, 1420, 491, 1187, 34, 11927, 68, 4887, 14, 204, 461, 7677, 13, 11202, 31, 394, 17, 919, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6071, 273, 2399, 348, 275, 800, 7677, 19, 204, 204, 264, 457, 31, 204, 268, 7677, 322, 325, 330, 334, 588, 302, 275, 7677, 19, 204, 268, 919, 322, 325, 330, 334, 919, 1445, 19, 204, 264, 320, 204, 264, 314, 763, 275, 7677, 4000, 329, 7677, 726, 204, 264, 7677, 68, 2754, 289, 18280, 19, 15723, 3313, 374, 204, 264, 7677, 68, 3470, 289, 7677, 68, 2754, 19, 505, 68, 11202, 13, 359, 34, 11202, 14, 204, 264, 314, 2069, 275, 2399, 329, 456, 275, 1714, 204, 264, 348, 1714, 292, 2399, 68, 11202, 68, 2062, 13, 11202, 68, 3470, 17, 919, 330, 204, 268, 15802, 68, 1835, 13, 1835, 14, 204, 204, 37, 3143, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 1420, 491, 1187, 34, 11927, 68, 4887, 14, 204, 461, 5082, 1679, 13, 1420, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6071, 273, 2399, 348, 5082, 18, 266, 19299, 19, 204, 204, 264, 457, 31, 204, 268, 919, 322, 325, 330, 334, 919, 1445, 19, 204, 264, 320, 204, 264, 314, 2069, 275, 2399, 329, 456, 275, 1714, 204, 264, 348, 1714, 292, 2399, 68, 48962, 68, 2062, 13, 1420, 330, 204, 268, 15802, 68, 1835, 13, 1835, 14, 204, 204, 37, 3143, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 1420, 491, 1187, 34, 11927, 68, 4887, 14, 204, 461, 830, 13, 1420, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6071, 273, 2399, 348, 830, 19299, 19, 204, 204, 264, 457, 31, 204, 268, 919, 322, 325, 330, 334, 919, 1445, 19, 204, 264, 320, 204, 264, 314, 2069, 275, 2399, 329, 456, 275, 1714, 204, 264, 348, 1714, 292, 2399, 68, 668, 68, 2062, 13, 1420, 330, 204, 268, 15802, 68, 1835, 13, 1835, 14, 204, 204, 37, 3143, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 1420, 491, 1187, 34, 11927, 68, 4887, 14, 204, 37, 4357, 19, 5906, 68, 3348, 204, 461, 4394, 13, 11721, 17, 919, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 4394, 348, 275, 800, 919, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 919, 322, 325, 330, 334, 919, 1445, 19, 204, 264, 320, 204, 264, 314, 763, 275, 683, 7677, 329, 28371, 275, 7677, 1354, 204, 264, 683, 68, 11202, 289, 636, 68, 2301, 18942, 68, 274, 1980, 374, 204, 264, 7773, 19, 30081, 13, 11202, 17, 7677, 34, 804, 68, 11202, 19, 359, 17, 919, 34, 1420, 14, 204, 204, 37, 2125, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 11202, 491, 1187, 34, 325, 14, 204, 37, 4357, 19, 2389, 611, 1744, 491, 1187, 34, 325, 14, 204, 37, 4357, 19, 2389, 611, 4599, 491, 1187, 34, 4357, 19, 4203, 13, 553, 68, 779, 533, 34, 1021, 17, 7892, 68, 779, 533, 34, 1975, 17, 204, 30990, 2560, 34, 1021, 602, 204, 461, 1523, 13, 11202, 31, 394, 17, 2086, 31, 394, 17, 3806, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 800, 2086, 440, 275, 1917, 3806, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 204, 204, 264, 457, 31, 204, 268, 7677, 322, 325, 330, 334, 588, 302, 275, 7677, 19, 204, 268, 2086, 322, 325, 330, 334, 588, 302, 275, 2086, 19, 204, 268, 3806, 322, 325, 330, 334, 537, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 537, 510, 329, 3106, 275, 3806, 204, 268, 440, 1451, 13, 4599, 17, 379, 87, 534, 448, 510, 68, 4103, 31, 204, 305, 954, 289, 3106, 68, 4599, 13, 1775, 19, 986, 13, 553, 68, 4103, 602, 204, 268, 314, 2466, 275, 2086, 204, 268, 397, 7677, 564, 379, 7010, 597, 204, 305, 5082, 266, 68, 11222, 13, 1744, 17, 954, 14, 204, 268, 902, 31, 204, 305, 2086, 68, 11222, 13, 11202, 17, 2086, 17, 954, 14, 204, 264, 827, 3180, 31, 204, 268, 4974, 19, 16137, 13, 75, 7, 596, 31, 334, 510, 3318, 4599, 2867, 1583, 508, 1337, 1280, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 4974, 19, 16137, 13, 75, 7, 596, 31, 334, 510, 3318, 4599, 2867, 353, 508, 273, 1097, 2084, 510, 1280, 204, 204, 461, 3106, 68, 4599, 13, 4599, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 25027, 275, 3806, 955, 560, 7057, 8557, 33659, 329, 47341, 19, 204, 204, 264, 457, 31, 204, 268, 3806, 322, 873, 330, 334, 537, 955, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 5872, 537, 955, 19, 204, 264, 320, 204, 264, 5872, 289, 2087, 204, 264, 348, 896, 17, 700, 292, 3806, 19, 1996, 1293, 204, 268, 397, 2381, 13, 876, 17, 458, 330, 204, 305, 5872, 64, 644, 66, 289, 3106, 68, 655, 13, 876, 14, 204, 268, 1677, 896, 19, 7209, 13, 49032, 68, 3802, 68, 4415, 13077, 204, 305, 5872, 19, 2045, 13, 5614, 68, 4599, 13, 876, 602, 204, 268, 1677, 2381, 13, 876, 17, 394, 330, 204, 305, 5872, 64, 644, 66, 289, 22180, 68, 23421, 72, 13, 876, 14, 204, 268, 902, 31, 204, 305, 5872, 64, 644, 66, 289, 700, 204, 264, 407, 5872, 204, 204, 461, 3106, 68, 655, 13, 768, 68, 655, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 25027, 273, 458, 560, 7057, 443, 1019, 329, 12294, 299, 10756, 3330, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 655, 322, 655, 330, 334, 537, 458, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 5872, 458, 19, 204, 264, 320, 204, 264, 5872, 68, 655, 289, 1306, 204, 264, 348, 19990, 292, 537, 68, 655, 31, 204, 268, 397, 2381, 13, 20973, 17, 1135, 330, 204, 305, 5872, 68, 655, 19, 6683, 13, 5614, 68, 4599, 13, 20973, 789, 1309, 1447, 204, 268, 1677, 19990, 353, 508, 443, 31, 204, 305, 5872, 68, 655, 19, 1223, 13, 20973, 14, 204, 264, 407, 5872, 68, 655, 397, 5872, 68, 655, 902, 443, 204, 204, 37, 2125, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 11202, 491, 1187, 34, 325, 14, 204, 461, 2585, 13, 11202, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 2585, 302, 275, 800, 7677, 19, 204, 204, 264, 457, 31, 204, 268, 7677, 322, 325, 330, 334, 588, 302, 275, 7677, 19, 204, 264, 320, 204, 264, 456, 13, 75, 1954, 11202, 98, 2585, 463, 505, 68, 2256, 13, 11202, 3835, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 1610, 374, 204, 0, 647, 2821, 204, 647, 2010, 448, 645, 204, 647, 6032, 448, 1774, 204, 531, 6032, 19, 11610, 19, 41004, 6624, 19, 12280, 532, 537, 68, 481, 204, 204, 461, 1137, 68, 12280, 68, 481, 13, 481, 68, 1217, 31, 394, 14, 393, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 31, 204, 264, 320, 204, 264, 1385, 275, 12590, 1485, 19, 204, 204, 264, 457, 31, 204, 264, 424, 68, 1217, 322, 325, 330, 334, 1445, 1273, 275, 12590, 424, 353, 6929, 19, 204, 204, 264, 475, 31, 204, 264, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 31, 334, 3271, 12590, 1485, 19, 204, 264, 320, 204, 264, 407, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 13, 481, 68, 1217, 17, 1051, 68, 5617, 34, 1021, 14, 204, 204, 461, 949, 68, 920, 68, 14352, 13, 481, 68, 835, 31, 421, 17, 2068, 68, 835, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 542, 302, 13455, 1945, 311, 1352, 275, 424, 19, 204, 204, 264, 457, 31, 204, 264, 424, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 424, 19, 204, 264, 2068, 68, 835, 322, 339, 330, 334, 1302, 302, 848, 2068, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 542, 302, 13455, 1945, 19, 204, 264, 320, 204, 264, 407, 2821, 19, 16304, 13, 481, 68, 835, 802, 2068, 68, 835, 14, 204, 204, 461, 3953, 68, 809, 68, 5893, 13, 204, 264, 3666, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 537, 68, 481, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 1769, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 3550, 68, 7673, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 2068, 68, 835, 31, 421, 17, 716, 264, 424, 31, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 204, 14, 393, 818, 31, 204, 264, 320, 204, 264, 4938, 275, 3666, 302, 275, 570, 523, 275, 683, 424, 19, 204, 204, 264, 457, 31, 204, 264, 3666, 68, 3116, 322, 2987, 19, 1556, 330, 334, 3666, 2162, 19, 204, 264, 537, 68, 481, 68, 3116, 322, 2987, 19, 1556, 330, 334, 537, 424, 2162, 19, 204, 264, 1769, 68, 3116, 322, 2987, 19, 1556, 330, 334, 1769, 2162, 19, 204, 264, 3550, 68, 7673, 68, 3116, 322, 2987, 19, 1556, 330, 334, 3550, 2634, 2162, 19, 204, 264, 2068, 68, 835, 322, 339, 330, 334, 1302, 302, 848, 2068, 19, 204, 264, 424, 322, 768, 68, 481, 19, 976, 68, 481, 68, 3604, 330, 334, 12590, 1485, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2480, 3666, 302, 275, 570, 523, 275, 683, 424, 19, 204, 264, 320, 204, 264, 314, 888, 275, 542, 302, 13455, 204, 264, 771, 68, 14352, 289, 949, 68, 920, 68, 14352, 13, 1796, 13, 481, 19, 804, 19, 2936, 659, 2068, 68, 835, 14, 204, 615, 264, 314, 977, 275, 458, 311, 1640, 275, 3666, 302, 848, 2068, 204, 264, 2068, 68, 27021, 289, 1306, 204, 615, 264, 314, 4938, 275, 570, 523, 848, 2068, 204, 264, 348, 296, 292, 933, 13, 920, 68, 14352, 330, 204, 268, 314, 888, 275, 3124, 329, 3482, 7119, 302, 275, 2068, 204, 268, 3124, 68, 3499, 289, 296, 540, 2068, 68, 835, 204, 268, 3482, 68, 3499, 289, 322, 78, 465, 368, 14, 540, 2068, 68, 835, 397, 296, 962, 771, 68, 14352, 338, 368, 902, 1245, 13, 481, 19, 804, 19, 2936, 14, 204, 822, 268, 314, 666, 275, 4182, 955, 204, 268, 4182, 68, 873, 289, 463, 204, 305, 537, 68, 481, 68, 3116, 31, 424, 19, 804, 19, 2936, 64, 3006, 68, 3499, 31, 5231, 68, 3499, 648, 716, 305, 1769, 68, 3116, 31, 424, 19, 804, 19, 2185, 64, 3006, 68, 3499, 31, 5231, 68, 3499, 648, 716, 305, 3550, 68, 7673, 68, 3116, 31, 368, 19, 21, 204, 268, 1211, 204, 822, 268, 314, 4938, 275, 570, 523, 275, 2068, 204, 268, 2068, 68, 5893, 289, 3666, 68, 3116, 19, 6844, 13, 7571, 68, 873, 34, 7571, 68, 873, 14, 204, 822, 268, 314, 5230, 275, 2068, 3666, 311, 275, 458, 204, 268, 2068, 68, 27021, 19, 1223, 13, 2884, 68, 5893, 14, 204, 615, 264, 314, 888, 275, 2480, 3666, 204, 264, 2480, 68, 5893, 289, 645, 19, 3037, 13, 2884, 68, 27021, 14, 204, 615, 264, 407, 2480, 68, 5893, 204, 204, 461, 838, 68, 809, 13, 768, 68, 481, 68, 3116, 31, 1774, 19, 1556, 17, 3550, 68, 7673, 68, 3116, 31, 1774, 19, 1556, 14, 393, 1774, 19, 1556, 31, 204, 264, 320, 204, 264, 666, 275, 17206, 570, 19, 204, 204, 264, 457, 31, 204, 264, 537, 68, 481, 68, 3116, 322, 2987, 19, 1556, 330, 334, 537, 424, 2162, 19, 204, 264, 3550, 68, 7673, 68, 3116, 322, 2987, 19, 1556, 330, 334, 3550, 2634, 2162, 19, 204, 204, 264, 475, 31, 204, 264, 1774, 19, 1556, 31, 334, 919, 2162, 302, 275, 570, 19, 204, 264, 320, 204, 264, 314, 13600, 275, 537, 424, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 4072, 534, 448, 8995, 31, 204, 268, 3204, 68, 2594, 289, 1774, 19, 6358, 13, 768, 68, 481, 68, 3116, 17, 8308, 22, 17, 4662, 17, 4662, 17, 368, 694, 204, 615, 264, 314, 17816, 2522, 368, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 4575, 22, 534, 448, 8995, 31, 204, 268, 7468, 22, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 4072, 68, 2594, 17, 6981, 34, 1845, 17, 3696, 68, 835, 34, 28, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 268, 7468, 22, 289, 1774, 19, 3814, 19, 2884, 68, 20884, 13, 4575, 22, 14, 204, 268, 7468, 22, 289, 1774, 19, 2606, 19, 5723, 13, 4575, 22, 14, 204, 268, 7468, 22, 289, 1774, 19, 2606, 19, 10149, 13, 4575, 22, 17, 3550, 68, 7673, 68, 3116, 14, 204, 268, 7468, 22, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 4575, 22, 17, 6981, 34, 1845, 17, 3696, 68, 835, 34, 26, 17, 12339, 34, 23, 17, 5204, 833, 30952, 534, 204, 615, 264, 314, 31800, 2254, 435, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 494, 23, 534, 448, 8995, 31, 204, 268, 513, 23, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 4575, 22, 17, 6981, 34, 2177, 17, 3696, 68, 835, 34, 24, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 268, 513, 23, 289, 1774, 19, 3814, 19, 2884, 68, 20884, 13, 494, 23, 14, 204, 268, 513, 23, 289, 1774, 19, 2606, 19, 5723, 13, 494, 23, 14, 204, 268, 513, 23, 289, 1774, 19, 2606, 19, 10149, 13, 494, 23, 17, 3550, 68, 7673, 68, 3116, 14, 204, 268, 513, 23, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 494, 23, 17, 6981, 34, 2562, 17, 3696, 68, 835, 34, 24, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 615, 264, 314, 31800, 2254, 571, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 494, 24, 534, 448, 8995, 31, 204, 268, 513, 24, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 494, 23, 17, 6981, 34, 2562, 17, 3696, 68, 835, 34, 24, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 268, 513, 24, 289, 1774, 19, 3814, 19, 2884, 68, 20884, 13, 494, 24, 14, 204, 268, 513, 24, 289, 1774, 19, 2606, 19, 5723, 13, 494, 24, 14, 204, 268, 513, 24, 289, 1774, 19, 2606, 19, 10149, 13, 494, 24, 17, 3550, 68, 7673, 68, 3116, 14, 204, 268, 513, 24, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 494, 24, 17, 6981, 34, 7489, 17, 3696, 68, 835, 34, 24, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 615, 264, 314, 3215, 2522, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 1420, 534, 448, 8995, 31, 204, 268, 919, 289, 1774, 19, 3814, 19, 12114, 13, 494, 24, 14, 204, 268, 919, 289, 1774, 19, 3814, 19, 13747, 13, 1420, 17, 4099, 34, 5758, 14, 204, 268, 919, 289, 1774, 19, 3814, 19, 2884, 68, 20884, 13, 1420, 14, 204, 268, 919, 289, 1774, 19, 2606, 19, 5723, 13, 1420, 14, 204, 268, 919, 289, 1774, 19, 2606, 19, 10149, 13, 1420, 17, 3550, 68, 7673, 68, 3116, 14, 204, 268, 919, 289, 1774, 19, 3814, 19, 13747, 13, 1420, 17, 4099, 34, 1003, 14, 204, 615, 264, 407, 919, 204, 204, 461, 951, 68, 809, 13, 204, 264, 537, 68, 481, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 1769, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 3550, 68, 7673, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 919, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 424, 31, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 17, 716, 264, 2068, 68, 835, 31, 421, 17, 716, 264, 771, 68, 5749, 31, 421, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 275, 570, 19, 204, 204, 264, 457, 31, 204, 264, 537, 68, 481, 68, 3116, 322, 2987, 19, 1556, 330, 334, 537, 424, 2162, 19, 204, 264, 1769, 68, 3116, 322, 2987, 19, 1556, 330, 334, 1769, 2162, 19, 204, 264, 3550, 68, 7673, 68, 3116, 322, 2987, 19, 1556, 330, 334, 3550, 2634, 2162, 19, 204, 264, 919, 68, 3116, 322, 2987, 19, 1556, 330, 334, 919, 2162, 302, 275, 570, 19, 204, 264, 424, 322, 768, 68, 481, 19, 976, 68, 481, 68, 3604, 330, 334, 12590, 1485, 19, 204, 264, 2068, 68, 835, 322, 339, 330, 334, 1302, 302, 848, 2068, 19, 204, 264, 771, 68, 5749, 322, 339, 330, 334, 542, 302, 6195, 311, 951, 275, 570, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2210, 329, 4209, 204, 264, 2264, 289, 1774, 19, 11659, 68, 3037, 13, 2987, 19, 2606, 19, 11397, 68, 9634, 68, 9450, 68, 2004, 68, 11792, 13, 2185, 34, 2185, 68, 3116, 17, 13102, 34, 1420, 68, 3116, 602, 204, 264, 4209, 289, 1774, 19, 1219, 19, 39607, 13, 22, 74, 18, 25, 789, 25571, 13, 3803, 14, 204, 615, 264, 314, 968, 275, 3666, 5807, 204, 264, 1706, 68, 7381, 289, 1774, 19, 4597, 13, 2987, 19, 11300, 13, 1420, 68, 3116, 17, 368, 659, 1774, 19, 11300, 13, 2185, 68, 3116, 17, 368, 602, 204, 264, 3666, 289, 1774, 19, 11659, 68, 3037, 13, 2987, 19, 4400, 13, 4381, 68, 7381, 17, 1774, 19, 996, 2177, 602, 204, 615, 264, 314, 977, 275, 2558, 204, 264, 5520, 289, 1774, 19, 9462, 68, 668, 68, 5592, 374, 204, 615, 264, 314, 2672, 275, 570, 204, 264, 440, 1774, 19, 5191, 374, 448, 9897, 31, 204, 268, 9897, 19, 1777, 13, 924, 14, 204, 268, 348, 296, 292, 933, 13, 920, 68, 5749, 330, 204, 305, 2068, 68, 93, 17, 2068, 68, 94, 289, 424, 19, 1219, 19, 2715, 68, 2884, 13, 2884, 68, 835, 14, 204, 305, 9897, 19, 1777, 13, 7560, 17, 4182, 68, 873, 2508, 768, 68, 481, 68, 3116, 31, 2068, 68, 93, 17, 1769, 68, 3116, 31, 2068, 68, 94, 17, 3550, 68, 7673, 68, 3116, 31, 500, 19, 26, 1937, 204, 305, 397, 296, 1564, 1607, 564, 500, 31, 204, 485, 2210, 17, 7417, 289, 9897, 19, 1777, 1568, 3803, 17, 3666, 648, 4182, 68, 873, 2508, 768, 68, 481, 68, 3116, 31, 2068, 68, 93, 17, 1769, 68, 3116, 31, 2068, 68, 94, 17, 3550, 68, 7673, 68, 3116, 31, 368, 19, 21, 1937, 204, 485, 456, 13, 78, 17, 2210, 17, 7417, 14, 204, 822, 268, 314, 4938, 275, 570, 523, 275, 683, 424, 204, 268, 683, 68, 5893, 289, 3953, 68, 809, 68, 5893, 13, 5893, 17, 537, 68, 481, 68, 3116, 17, 1769, 68, 3116, 17, 3550, 68, 7673, 68, 3116, 17, 2068, 68, 835, 17, 424, 14, 204, 268, 456, 499, 2346, 3666, 1564, 76, 7, 1564, 683, 68, 5893, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1385, 275, 12590, 1485, 204, 264, 424, 68, 1217, 289, 379, 12280, 68, 481, 12, 204, 264, 424, 289, 1137, 68, 12280, 68, 481, 13, 481, 68, 1217, 14, 204, 615, 264, 314, 968, 275, 537, 329, 919, 10013, 204, 264, 537, 68, 481, 68, 3116, 289, 1774, 19, 8520, 13, 2987, 19, 996, 2177, 17, 551, 3170, 17, 27333, 648, 588, 833, 768, 68, 481, 534, 204, 264, 1769, 68, 3116, 289, 1774, 19, 8520, 13, 2987, 19, 996, 2177, 17, 551, 3170, 17, 931, 648, 588, 833, 2185, 534, 204, 264, 3550, 68, 7673, 68, 3116, 289, 1774, 19, 8520, 13, 2987, 19, 996, 2177, 17, 588, 833, 11472, 68, 7673, 534, 204, 615, 264, 314, 666, 275, 570, 204, 264, 919, 68, 3116, 289, 838, 68, 809, 13, 768, 68, 481, 68, 3116, 17, 3550, 68, 7673, 68, 3116, 14, 204, 615, 264, 314, 2672, 275, 570, 204, 264, 2068, 68, 835, 289, 7569, 204, 264, 771, 68, 5749, 289, 29856, 204, 264, 951, 68, 809, 13, 768, 68, 481, 68, 3116, 17, 1769, 68, 3116, 17, 3550, 68, 7673, 68, 3116, 17, 919, 68, 3116, 17, 424, 17, 2068, 68, 835, 17, 771, 68, 5749, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 40130, 7279, 20140, 31, 204, 264, 320, 204, 264, 332, 850, 311, 1020, 830, 5687, 302, 10800, 496, 1066, 719, 311, 273, 1029, 700, 19, 204, 264, 320, 204, 204, 264, 436, 1020, 68, 10383, 13, 327, 17, 10800, 31, 783, 64, 339, 648, 1029, 31, 421, 14, 393, 783, 64, 1218, 64, 339, 2440, 204, 268, 320, 204, 268, 475, 830, 5687, 302, 10800, 496, 1066, 719, 311, 275, 1029, 19, 204, 204, 268, 457, 31, 204, 268, 10800, 322, 1218, 64, 339, 1037, 332, 458, 302, 6963, 886, 19, 204, 268, 1029, 322, 339, 330, 334, 1029, 1066, 19, 204, 204, 268, 475, 31, 204, 268, 783, 64, 1218, 64, 339, 2440, 332, 458, 302, 5687, 496, 1066, 719, 311, 275, 1029, 19, 204, 268, 320, 204, 268, 314, 778, 348, 2872, 537, 204, 268, 397, 508, 10800, 521, 1029, 962, 500, 31, 204, 305, 407, 1306, 204, 204, 268, 314, 4641, 275, 10800, 311, 15688, 275, 34611, 1352, 204, 268, 10800, 19, 2975, 374, 204, 204, 268, 314, 977, 275, 722, 458, 204, 268, 722, 289, 1306, 204, 204, 268, 314, 968, 273, 12325, 741, 348, 34611, 204, 268, 436, 29001, 13, 1976, 68, 13302, 31, 783, 64, 339, 648, 1012, 31, 421, 17, 790, 68, 1303, 31, 421, 14, 393, 443, 31, 204, 305, 320, 204, 305, 8276, 22393, 5687, 302, 10800, 496, 1066, 719, 311, 275, 1029, 19, 204, 204, 305, 457, 31, 204, 305, 790, 68, 13302, 322, 1218, 64, 339, 1037, 334, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 790, 5660, 302, 10800, 19, 204, 305, 1012, 322, 339, 330, 334, 4145, 1112, 348, 275, 1682, 6963, 19, 204, 305, 790, 68, 1303, 322, 339, 330, 334, 1066, 302, 275, 790, 5660, 19, 204, 305, 320, 204, 305, 314, 828, 275, 790, 1066, 9329, 275, 1029, 17, 881, 275, 5660, 311, 275, 722, 204, 305, 397, 790, 68, 1303, 564, 1029, 31, 204, 485, 722, 19, 1223, 13, 1976, 68, 13302, 39980, 226, 314, 1974, 458, 16880, 348, 23731, 204, 485, 407, 204, 305, 314, 828, 275, 790, 1066, 10472, 275, 1029, 17, 3506, 22121, 808, 7659, 204, 305, 397, 790, 68, 1303, 1323, 1029, 31, 204, 485, 407, 204, 305, 314, 19947, 830, 2237, 10800, 204, 305, 348, 296, 292, 933, 13, 1530, 17, 1245, 13, 15755, 4019, 204, 485, 314, 1255, 275, 790, 6963, 311, 275, 5660, 329, 1395, 275, 1066, 204, 485, 790, 68, 13302, 19, 1223, 13, 15755, 64, 78, 694, 204, 485, 29001, 13, 1976, 68, 13302, 17, 296, 17, 790, 68, 1303, 465, 10800, 64, 78, 694, 204, 485, 314, 3182, 275, 1673, 4327, 6963, 348, 34611, 204, 485, 790, 68, 13302, 19, 3377, 374, 204, 204, 268, 314, 4055, 275, 34611, 1352, 204, 268, 29001, 26878, 500, 17, 500, 14, 204, 204, 268, 407, 722, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 11355, 289, 40130, 7279, 20140, 374, 204, 264, 456, 13, 16448, 19, 2269, 68, 10383, 1568, 23, 17, 571, 17, 720, 648, 1132, 602, 204, 0, 38, 5411, 12855, 28410, 292, 275, 565, 2385, 3916, 18515, 17, 292, 18358, 44595, 17, 30122, 275, 2688, 884, 88, 6005, 311, 275, 35933, 316, 903, 535, 302, 275, 435, 5857, 27997, 497, 275, 44179, 9272, 5024, 19, 24349, 302, 27997, 2777, 728, 1067, 1924, 12855, 292, 12686, 13298, 18, 75, 38923, 329, 10865, 21119, 17, 329, 19625, 12686, 49128, 311, 3550, 8862, 17, 25825, 275, 5832, 11432, 302, 808, 43463, 16188, 19, 204, 7670, 8448, 74, 48507, 529, 508, 273, 717, 4699, 348, 44595, 17, 329, 275, 3477, 884, 88, 10726, 440, 43329, 27997, 874, 21660, 275, 958, 311, 808, 717, 16188, 19, 204, 837, 275, 1043, 14032, 18, 4947, 321, 5841, 5024, 302, 35223, 17, 1330, 275, 1259, 302, 12820, 6900, 1025, 2545, 17, 3332, 26507, 17, 1207, 14032, 16020, 302, 36105, 6802, 27997, 19, 1607, 17, 1207, 302, 1605, 6900, 311, 44595, 17, 1273, 1250, 874, 24903, 292, 43086, 28814, 7921, 3522, 19, 5424, 15367, 15810, 13019, 9212, 43086, 1714, 17, 1422, 529, 3303, 1182, 1194, 34826, 17, 1207, 43329, 27997, 9882, 440, 275, 5269, 18476, 15927, 599, 329, 23539, 19404, 292, 44595, 19, 1058, 4504, 3332, 931, 10, 302, 275, 5641, 3390, 302, 44595, 19, 204, 1480, 371, 869, 1742, 273, 5362, 4699, 348, 43329, 27997, 329, 348, 44595, 5398, 19, 5424, 1163, 17775, 3390, 302, 1916, 36609, 10641, 4119, 17, 2722, 4430, 560, 273, 2586, 26070, 7546, 1561, 496, 16598, 2347, 4558, 47576, 10401, 2238, 17, 44595, 867, 5570, 9750, 348, 808, 34926, 302, 13627, 387, 9009, 78, 15519, 23764, 48909, 19, 25182, 1082, 5809, 23764, 48909, 292, 43086, 28814, 17, 329, 8386, 299, 830, 4840, 302, 9432, 329, 2519, 10627, 17, 869, 1742, 275, 1259, 884, 88, 958, 311, 808, 9056, 19, 204, 5019, 275, 1729, 690, 17, 275, 43329, 43086, 28814, 18503, 38695, 497, 275, 1259, 292, 33296, 19, 8879, 17633, 17, 44595, 6802, 275, 18682, 348, 275, 415, 2863, 884, 88, 5024, 302, 6838, 44629, 4238, 12820, 19, 18473, 30795, 329, 14667, 17, 275, 3477, 867, 41248, 10867, 560, 9272, 5024, 17, 292, 928, 43329, 24551, 4119, 1466, 21723, 8033, 19, 4682, 275, 5024, 15413, 17, 275, 43329, 28814, 874, 14893, 794, 29886, 20036, 17, 13018, 311, 448, 4362, 12538, 18165, 884, 560, 1910, 4024, 71, 9613, 19, 204, 3837, 353, 1025, 808, 2913, 5291, 2085, 496, 3332, 273, 5857, 44179, 27997, 17, 35361, 299, 275, 44852, 5024, 292, 1017, 3477, 17, 874, 20320, 19381, 19, 10107, 1605, 17, 1168, 4088, 17, 30676, 529, 9882, 440, 10918, 45, 8656, 19, 334, 10726, 302, 275, 10407, 43329, 43086, 16188, 529, 42602, 275, 4024, 71, 9613, 958, 311, 275, 44179, 1051, 19, 334, 4886, 869, 21970, 311, 758, 719, 11836, 28814, 17, 19683, 311, 4554, 27997, 5976, 292, 43125, 35988, 521, 440, 3221, 9172, 329, 9644, 19, 8624, 18189, 4024, 71, 9613, 874, 48589, 292, 311, 6018, 14991, 16987, 329, 11980, 516, 17, 292, 275, 18538, 302, 4886, 329, 1950, 18, 48230, 30943, 19, 27440, 874, 1742, 4935, 1182, 41802, 31, 10407, 808, 2699, 17, 16020, 302, 273, 15400, 292, 18358, 44595, 24364, 1873, 273, 5814, 77, 3033, 44179, 43086, 7004, 17, 523, 275, 678, 492, 496, 273, 44179, 2080, 753, 8479, 273, 18577, 4024, 71, 9613, 1064, 19, 204, 5274, 42609, 14007, 2545, 41248, 10867, 560, 275, 44179, 5024, 19, 8624, 4024, 71, 9613, 2886, 275, 44179, 4886, 17, 1335, 1910, 2886, 1009, 1027, 4751, 275, 24551, 22714, 32, 4024, 71, 9613, 302, 1792, 10641, 9644, 529, 21900, 275, 8906, 311, 9421, 523, 848, 1653, 292, 275, 44179, 5024, 19, 9419, 1182, 1194, 368, 292, 681, 1880, 292, 44595, 529, 27997, 2317, 4116, 391, 640, 17, 23764, 48909, 17, 329, 43329, 27997, 15975, 9882, 292, 29293, 19, 204, 13936, 1194, 4315, 302, 830, 9882, 44179, 27997, 2317, 1182, 1194, 368, 19, 22, 5857, 2317, 529, 2804, 17, 329, 2327, 23673, 302, 1605, 529, 1683, 1598, 19, 332, 5411, 10918, 45, 8656, 2556, 25825, 1017, 903, 535, 19, 5424, 1182, 1194, 4315, 508, 292, 3859, 17, 1622, 70, 7513, 353, 9104, 719, 2900, 273, 13846, 5798, 10559, 8624, 529, 5701, 311, 1225, 32, 1910, 5261, 529, 18827, 329, 33734, 311, 1017, 6759, 302, 21839, 19, 2767, 36211, 529, 794, 638, 20599, 4890, 17, 5289, 497, 1017, 6757, 521, 44285, 336, 19, 13056, 23673, 302, 19588, 9596, 292, 46009, 874, 1236, 5251, 29811, 19, 204, 673, 12479, 16893, 302, 275, 44179, 43086, 16188, 353, 17466, 523, 275, 1880, 329, 16972, 302, 42141, 3584, 2090, 44595, 19, 3139, 1182, 5899, 17, 1901, 292, 6017, 17, 874, 3303, 17228, 440, 275, 10918, 45, 8656, 311, 7264, 2273, 44179, 27997, 17, 1101, 275, 886, 311, 444, 7264, 38800, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 529, 16248, 8551, 440, 275, 3948, 302, 275, 1844, 2317, 6414, 311, 275, 542, 302, 717, 27997, 2589, 970, 3054, 19, 334, 11981, 4886, 869, 284, 1153, 2669, 13205, 4589, 5857, 292, 13887, 311, 3153, 9647, 560, 275, 44179, 9422, 17, 2864, 13205, 4920, 5857, 292, 44595, 17, 1101, 754, 4935, 2942, 5792, 311, 18715, 292, 275, 7264, 42571, 21221, 19, 44144, 74, 1125, 1291, 874, 3250, 523, 275, 11981, 4886, 311, 14444, 1017, 43463, 958, 329, 36123, 273, 21221, 302, 14991, 43463, 31967, 45786, 348, 27997, 292, 1901, 1519, 19, 204, 3534, 2181, 8518, 17, 292, 11639, 41120, 17, 14825, 18564, 3050, 27307, 19583, 311, 5190, 19381, 311, 3332, 931, 17, 1207, 794, 638, 20599, 4890, 2804, 2317, 1901, 302, 1475, 12464, 2317, 497, 42023, 6017, 19, 4222, 18382, 1910, 1784, 874, 10564, 17, 2080, 1250, 1742, 1824, 311, 1017, 28314, 1683, 275, 46482, 19, 11449, 353, 1702, 273, 43463, 30833, 754, 794, 40826, 578, 5319, 36, 4208, 7458, 22714, 311, 27307, 754, 10652, 496, 275, 23501, 7546, 1120, 302, 275, 2688, 884, 88, 30371, 5772, 22419, 618, 770, 1236, 4037, 1194, 7264, 43929, 1598, 17, 1207, 27997, 36, 4208, 14825, 884, 88, 28255, 3511, 302, 11109, 48440, 311, 3153, 17217, 41312, 329, 13619, 3303, 7493, 496, 31, 3511, 36, 204, 3534, 2181, 3522, 275, 39079, 864, 795, 6568, 17, 273, 5857, 44179, 2804, 3303, 3469, 3161, 11660, 292, 265, 698, 329, 4219, 91, 5329, 49086, 17, 5501, 497, 2941, 19, 334, 2688, 30696, 1631, 770, 4037, 19, 0, 658, 3867, 8800, 46217, 5443, 638, 354, 204, 204, 1449, 1895, 273, 2941, 17309, 995, 638, 354, 17, 872, 1120, 1519, 275, 2631, 7186, 31, 204, 18, 887, 23848, 2287, 88, 1548, 23240, 204, 18, 435, 18, 24, 47895, 11710, 4792, 4581, 1025, 887, 8305, 17, 571, 18, 22, 20, 23, 1001, 2482, 204, 18, 2468, 12686, 284, 7113, 28248, 204, 18, 501, 7926, 322, 7602, 18, 3294, 8797, 30522, 16743, 521, 22392, 94, 30522, 14, 204, 204, 1380, 1687, 18, 1424, 18, 6702, 592, 6442, 31, 204, 204, 22, 19, 13883, 1873, 368, 2287, 88, 1548, 9583, 329, 3120, 30522, 523, 1163, 1913, 3469, 17, 4558, 1163, 4835, 1277, 19, 204, 23, 19, 13883, 275, 10045, 302, 275, 47895, 11710, 1450, 23240, 292, 275, 30522, 19, 204, 24, 19, 3291, 30522, 830, 4558, 1051, 3469, 302, 273, 435, 307, 2287, 88, 1548, 9583, 19, 204, 25, 19, 12006, 490, 30522, 1653, 1873, 1048, 275, 10045, 302, 275, 47895, 23240, 17, 36392, 299, 275, 10045, 1283, 275, 435, 2287, 88, 1548, 23240, 19, 204, 26, 19, 387, 9922, 275, 2287, 88, 1548, 23240, 38926, 4430, 329, 2512, 311, 758, 19, 828, 974, 22392, 94, 30522, 17, 11634, 440, 17397, 267, 2184, 1679, 311, 5148, 292, 2481, 19, 204, 27, 19, 13883, 1873, 3161, 2287, 88, 1548, 9583, 329, 3120, 30522, 4558, 1163, 4835, 1277, 19, 204, 28, 19, 12006, 275, 23663, 30528, 995, 638, 354, 523, 1913, 302, 275, 15529, 336, 9583, 17, 12637, 1465, 273, 4315, 16272, 10602, 1283, 275, 28248, 329, 275, 9583, 19, 204, 29, 19, 501, 7926, 3161, 2287, 88, 1548, 9583, 329, 36392, 275, 11710, 4792, 2090, 872, 3756, 2518, 19, 204, 30, 19, 8931, 38926, 322, 403, 974, 22392, 94, 30522, 17, 11634, 440, 17397, 267, 2184, 1679, 311, 5148, 789, 204, 1003, 19, 13883, 1873, 3161, 2287, 88, 1548, 9583, 329, 3120, 30522, 4558, 1163, 4835, 1277, 19, 204, 1641, 19, 12006, 275, 22629, 10045, 302, 275, 11710, 4792, 292, 275, 30522, 19, 204, 1258, 19, 501, 7926, 275, 1673, 2287, 88, 1548, 9583, 329, 2481, 490, 30522, 1653, 1873, 1048, 275, 10045, 17, 36392, 299, 1475, 1283, 275, 970, 2287, 88, 1548, 23240, 19, 204, 2353, 19, 8931, 38926, 329, 3303, 872, 618, 732, 490, 19, 828, 974, 22392, 94, 30522, 17, 34477, 440, 17397, 267, 2184, 1679, 329, 2512, 490, 311, 8408, 348, 273, 4542, 3658, 19, 204, 204, 1380, 13702, 657, 31, 204, 5009, 618, 1895, 273, 5658, 995, 638, 354, 974, 5658, 16922, 23240, 329, 23848, 28248, 19, 1974, 1169, 1848, 5660, 872, 2090, 19, 204, 204, 1380, 27795, 31, 204, 18, 25723, 618, 3532, 275, 28248, 329, 2481, 275, 23240, 292, 2481, 17, 1101, 437, 6986, 1856, 2906, 275, 8797, 30522, 16743, 19, 204, 18, 1058, 2002, 618, 444, 1376, 311, 17886, 2481, 700, 329, 311, 770, 3277, 4998, 329, 11043, 2900, 974, 22042, 19, 0, 8, 21523, 560, 5959, 435, 19, 22, 19, 28, 523, 12568, 18, 5559, 18, 4343, 38159, 31, 5091, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 676, 666, 31484, 1655, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 2605, 273, 717, 570, 348, 27180, 440, 273, 2220, 588, 329, 5247, 4521, 19, 204, 204, 264, 1058, 5420, 353, 10742, 523, 275, 379, 37543, 68, 4881, 68, 8131, 33646, 28, 68, 2314, 3268, 12, 5420, 292, 275, 379, 33576, 12, 740, 19, 204, 264, 320, 204, 204, 264, 6127, 289, 551, 204, 268, 314, 38424, 523, 275, 3090, 5420, 292, 275, 379, 33576, 12, 740, 204, 268, 2448, 33576, 491, 379, 37543, 68, 4881, 68, 8131, 33646, 28, 68, 2314, 3268, 2008, 204, 264, 2437, 204, 204, 264, 2758, 289, 551, 204, 268, 314, 666, 273, 717, 570, 348, 27180, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 31484, 491, 204, 305, 2357, 3603, 204, 485, 314, 12859, 18, 42724, 4408, 896, 204, 485, 2448, 359, 491, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 7567, 204, 485, 314, 6581, 588, 348, 275, 8845, 204, 485, 2448, 417, 491, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 7489, 17, 2220, 34, 1021, 3917, 204, 485, 314, 15811, 348, 1330, 275, 8845, 867, 1966, 204, 485, 2448, 5903, 68, 269, 491, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 3917, 204, 305, 7241, 204, 305, 2914, 2508, 204, 485, 314, 12310, 18, 13821, 588, 348, 275, 570, 204, 485, 379, 7952, 68, 417, 597, 379, 31484, 491, 204, 485, 314, 12310, 18, 13821, 18221, 588, 348, 275, 570, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 485, 379, 7952, 68, 417, 68, 9875, 597, 379, 31484, 88, 491, 204, 485, 314, 1210, 10772, 348, 275, 570, 322, 1957, 742, 1043, 14, 204, 485, 379, 25554, 597, 29690, 5903, 68, 269, 2043, 204, 305, 4752, 204, 268, 5334, 204, 264, 2437, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4071, 575, 537, 329, 2584, 490, 448, 273, 782, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 537, 741, 311, 636, 575, 537, 204, 264, 407, 537, 13, 4202, 14, 204, 204, 461, 4036, 68, 1031, 68, 47663, 13, 768, 68, 1031, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 24206, 275, 537, 782, 974, 16880, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 322, 325, 330, 334, 782, 311, 444, 7563, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 7563, 782, 19, 204, 264, 320, 204, 264, 314, 1974, 16880, 311, 4036, 275, 782, 17, 928, 353, 273, 15497, 329, 6184, 3979, 204, 264, 407, 537, 68, 1031, 12658, 22, 66, 204, 204, 461, 4036, 68, 1031, 68, 26628, 13, 768, 68, 1031, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 24206, 275, 537, 782, 974, 6491, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 322, 325, 330, 334, 782, 311, 444, 7563, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 7563, 782, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 782, 311, 1640, 275, 7563, 782, 204, 264, 7563, 68, 1031, 289, 3026, 204, 264, 314, 1861, 1048, 275, 537, 782, 292, 4036, 1552, 204, 264, 348, 1125, 292, 7563, 13, 768, 68, 1031, 330, 204, 268, 314, 5230, 848, 1943, 311, 275, 7563, 782, 204, 268, 7563, 68, 1031, 1412, 1125, 204, 264, 314, 455, 275, 7563, 782, 204, 264, 407, 7563, 68, 1031, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12609, 275, 2548, 677, 5156, 19, 204, 264, 320, 204, 264, 314, 763, 575, 537, 204, 264, 537, 68, 1031, 289, 636, 68, 816, 68, 768, 499, 2101, 273, 782, 31, 2810, 204, 264, 314, 13801, 275, 782, 974, 16880, 329, 6491, 204, 264, 7563, 68, 1031, 68, 47663, 289, 4036, 68, 1031, 68, 47663, 13, 768, 68, 1031, 14, 204, 264, 7563, 68, 1031, 68, 26628, 289, 4036, 68, 1031, 68, 26628, 13, 768, 68, 1031, 14, 204, 264, 314, 1198, 275, 1563, 204, 264, 456, 13, 75, 7, 9562, 782, 31, 463, 768, 68, 1031, 743, 204, 264, 456, 13, 75, 7, 31151, 782, 322, 47663, 330, 463, 15611, 68, 1031, 68, 47663, 743, 204, 264, 456, 13, 75, 7, 31151, 782, 322, 26628, 330, 463, 15611, 68, 1031, 68, 26628, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 667, 741, 204, 264, 667, 374, 204, 0, 18672, 9554, 329, 2175, 13463, 204, 204, 2841, 529, 970, 3779, 311, 19476, 31, 204, 204, 22, 19, 469, 289, 681, 19, 3268, 1845, 93, 67, 21, 19, 25, 5645, 22, 204, 1449, 2616, 348, 610, 17, 3281, 1855, 2902, 560, 681, 19, 3268, 1845, 31, 226, 204, 94, 802, 681, 19, 3268, 1845, 289, 610, 67, 21, 19, 25, 5645, 22, 204, 9538, 17, 3074, 275, 368, 20, 21, 19, 25, 5645, 22, 1610, 302, 1855, 2902, 31, 204, 93, 289, 322, 94, 802, 681, 19, 3268, 1845, 13791, 22, 20, 21, 19, 25, 5645, 22, 14, 204, 204, 23, 19, 469, 289, 1233, 19, 8667, 2132, 6685, 13, 93, 14, 338, 1233, 19, 8667, 4088, 204, 1449, 2616, 348, 610, 17, 881, 1233, 19, 8667, 4088, 311, 1855, 2902, 31, 204, 94, 465, 1233, 19, 8667, 4088, 289, 1233, 19, 8667, 2132, 6685, 13, 93, 14, 204, 9538, 17, 3281, 1855, 2902, 560, 1233, 19, 8667, 2132, 31, 204, 13, 94, 465, 1233, 19, 8667, 4088, 14, 802, 1233, 19, 8667, 2132, 289, 10363, 13, 93, 14, 204, 18226, 17, 3074, 275, 9662, 302, 1855, 2902, 31, 204, 93, 289, 318, 67, 1802, 94, 465, 1233, 19, 8667, 4088, 14, 802, 1233, 19, 8667, 2132, 14, 204, 204, 1449, 6767, 275, 26769, 1581, 348, 275, 1350, 1581, 17, 2249, 677, 732, 437, 1763, 19, 828, 610, 289, 10516, 17, 1675, 469, 6753, 5254, 19, 3894, 4023, 19, 19151, 808, 700, 302, 469, 1025, 275, 26769, 1581, 31, 204, 93, 289, 318, 67, 1802, 4343, 19, 3894, 4023, 465, 1233, 19, 8667, 4088, 14, 802, 1233, 19, 8667, 2132, 14, 204, 93, 6753, 318, 67, 1802, 4462, 19, 38535, 27, 14, 802, 1233, 19, 8667, 2132, 14, 204, 93, 6753, 318, 67, 24, 19, 29, 6913, 204, 93, 6753, 7332, 19, 41226, 6753, 10516, 204, 204, 1834, 5913, 496, 275, 26769, 1581, 353, 6414, 311, 275, 2171, 1051, 19, 0, 647, 3056, 204, 647, 2454, 204, 204, 461, 1137, 68, 19710, 68, 7485, 13, 553, 68, 417, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 17223, 5594, 497, 273, 510, 1025, 273, 955, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 510, 1174, 17223, 5594, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 302, 17223, 5594, 17, 1273, 848, 896, 353, 273, 4064, 588, 329, 848, 700, 353, 273, 458, 302, 2493, 1019, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 955, 311, 1640, 17223, 5594, 204, 264, 26358, 68, 7485, 289, 2087, 204, 615, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 1151, 2291, 204, 268, 440, 1451, 13, 553, 68, 417, 17, 388, 87, 431, 448, 510, 68, 4103, 31, 204, 305, 314, 1861, 1048, 848, 1007, 292, 275, 510, 204, 305, 348, 1007, 292, 510, 68, 4103, 31, 204, 485, 314, 3736, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 275, 1007, 1025, 7876, 204, 485, 2901, 289, 1007, 19, 1590, 374, 204, 485, 314, 6993, 275, 17223, 2493, 292, 275, 955, 204, 485, 26358, 68, 7485, 64, 325, 13, 4320, 64, 21, 12670, 3006, 6485, 289, 2901, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 417, 98, 508, 1193, 1280, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 615, 264, 407, 26358, 68, 7485, 204, 204, 461, 636, 68, 2723, 68, 2201, 68, 5051, 68, 2923, 13, 19710, 68, 7485, 31, 1135, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 1913, 18, 2201, 4064, 1981, 497, 275, 17223, 5594, 19, 204, 204, 264, 457, 31, 204, 268, 26358, 68, 7485, 322, 873, 330, 332, 955, 302, 17223, 5594, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1913, 18, 2201, 4064, 1981, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 17223, 5594, 311, 1020, 275, 1913, 18, 2201, 4064, 1981, 204, 264, 348, 896, 17, 700, 292, 26358, 68, 7485, 19, 1996, 1293, 204, 268, 397, 700, 64, 23, 66, 564, 379, 7596, 597, 204, 305, 407, 896, 204, 264, 314, 455, 443, 397, 1236, 1913, 18, 2201, 4064, 1981, 353, 1193, 204, 264, 407, 443, 204, 204, 461, 2811, 68, 19710, 68, 13715, 13, 5051, 68, 417, 31, 394, 17, 26358, 68, 7485, 31, 1135, 17, 1913, 68, 2201, 68, 5051, 68, 2923, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 3055, 273, 17223, 11936, 348, 273, 800, 4064, 588, 19, 204, 204, 264, 457, 31, 204, 268, 4064, 68, 417, 322, 325, 330, 334, 4064, 588, 311, 2909, 719, 19, 204, 268, 26358, 68, 7485, 322, 873, 330, 332, 955, 302, 17223, 5594, 19, 204, 268, 1913, 68, 2201, 68, 5051, 68, 2923, 322, 325, 330, 334, 1913, 18, 2201, 4064, 1981, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 722, 302, 275, 17223, 11936, 19, 204, 264, 320, 204, 264, 314, 2208, 275, 4064, 588, 311, 9236, 204, 264, 896, 289, 394, 13, 5051, 68, 417, 789, 3006, 374, 204, 264, 314, 778, 397, 275, 4064, 588, 353, 292, 275, 17223, 5594, 204, 264, 397, 896, 292, 26358, 68, 7485, 31, 204, 268, 314, 455, 275, 17223, 2493, 348, 275, 4064, 588, 204, 268, 407, 283, 1954, 644, 98, 463, 19710, 68, 7485, 64, 644, 1799, 22, 7916, 463, 19710, 68, 7485, 64, 644, 1799, 23, 25718, 204, 264, 902, 31, 204, 268, 314, 455, 275, 1913, 18, 2201, 4064, 1981, 397, 275, 4064, 588, 353, 508, 1193, 204, 268, 407, 283, 1954, 2723, 68, 2201, 68, 5051, 68, 2923, 98, 463, 19710, 68, 7485, 64, 2723, 68, 2201, 68, 5051, 68, 2923, 1799, 22, 7916, 463, 19710, 68, 7485, 64, 2723, 68, 2201, 68, 5051, 68, 2923, 1799, 23, 25718, 204, 204, 461, 1012, 68, 19710, 68, 2923, 13, 898, 31, 421, 17, 26358, 68, 7485, 31, 1135, 17, 1913, 68, 2201, 68, 5051, 68, 2923, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4055, 275, 17223, 1981, 19, 204, 204, 264, 457, 31, 204, 268, 2054, 322, 339, 330, 334, 2054, 542, 311, 12441, 523, 19, 204, 268, 26358, 68, 7485, 322, 873, 330, 332, 955, 302, 17223, 5594, 19, 204, 268, 1913, 68, 2201, 68, 5051, 68, 2923, 322, 325, 330, 334, 1913, 18, 2201, 4064, 1981, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 3056, 726, 204, 268, 1981, 68, 2794, 289, 3056, 19, 2794, 13, 2794, 19, 10059, 68, 15961, 17, 3056, 19, 15071, 68, 17651, 14, 204, 268, 314, 19221, 275, 3056, 311, 275, 1713, 2054, 204, 268, 1981, 68, 2794, 19, 8357, 13, 14945, 2054, 602, 204, 268, 314, 25455, 348, 7348, 7369, 204, 268, 1981, 68, 2794, 19, 14632, 13, 26, 14, 204, 268, 456, 13, 75, 15394, 56, 744, 10541, 6911, 523, 2054, 463, 898, 743, 204, 822, 268, 1335, 959, 31, 204, 305, 314, 21132, 437, 7348, 1727, 204, 305, 1545, 68, 2794, 17, 1995, 289, 1981, 68, 2794, 19, 11130, 374, 204, 305, 456, 13, 75, 15394, 56, 744, 37715, 273, 1727, 824, 497, 463, 2820, 743, 204, 305, 314, 12154, 424, 497, 275, 1545, 204, 305, 424, 289, 1545, 68, 2794, 19, 12383, 13, 2825, 14, 204, 305, 397, 508, 424, 31, 204, 485, 2280, 204, 305, 314, 12210, 275, 5445, 424, 204, 305, 4064, 68, 417, 289, 424, 19, 5286, 611, 3102, 18, 29, 3930, 2892, 374, 204, 305, 456, 13, 75, 15394, 56, 744, 9939, 3050, 4064, 588, 31, 463, 5051, 68, 417, 743, 204, 305, 314, 3055, 273, 17223, 11936, 204, 305, 722, 289, 2811, 68, 19710, 68, 13715, 13, 5051, 68, 417, 17, 26358, 68, 7485, 17, 1913, 68, 2201, 68, 5051, 68, 2923, 14, 204, 305, 314, 2878, 275, 722, 1818, 311, 275, 1545, 204, 305, 1545, 68, 2794, 19, 3345, 13, 1300, 19, 4170, 611, 3102, 18, 29, 3063, 204, 305, 456, 13, 75, 15394, 56, 744, 15718, 722, 31, 463, 1300, 743, 204, 264, 827, 16797, 31, 204, 268, 314, 5706, 275, 3056, 1330, 275, 1981, 353, 14418, 204, 268, 1981, 68, 2794, 19, 3529, 374, 204, 268, 456, 20501, 56, 744, 10541, 14418, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 17223, 1981, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1706, 542, 302, 1354, 18, 1054, 1906, 353, 1917, 204, 264, 397, 1245, 13, 4807, 19, 4983, 14, 2167, 435, 31, 204, 268, 456, 499, 12534, 31, 5415, 26358, 68, 2923, 19, 948, 962, 898, 12962, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 615, 264, 314, 763, 275, 2054, 542, 497, 275, 1354, 18, 1054, 4601, 204, 264, 2054, 289, 421, 13, 4807, 19, 4983, 64, 22, 694, 204, 264, 314, 1385, 275, 17223, 5594, 497, 275, 510, 204, 264, 26358, 68, 7485, 289, 1137, 68, 19710, 68, 7485, 499, 6014, 40869, 18, 31611, 14841, 19, 3039, 431, 204, 264, 314, 763, 275, 1913, 18, 2201, 4064, 1981, 204, 264, 1913, 68, 2201, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 68, 5051, 68, 2923, 289, 636, 68, 2723, 68, 2201, 68, 5051, 68, 2923, 13, 19710, 68, 7485, 14, 204, 615, 264, 314, 778, 397, 275, 1913, 18, 2201, 4064, 1981, 353, 1193, 204, 264, 397, 1913, 68, 2201, 68, 5051, 68, 2923, 353, 443, 31, 204, 268, 456, 499, 11889, 18, 2201, 4064, 1981, 508, 1193, 1280, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 615, 264, 314, 4055, 275, 17223, 1981, 204, 264, 1012, 68, 19710, 68, 2923, 13, 898, 17, 26358, 68, 7485, 17, 1913, 68, 2201, 68, 5051, 68, 2923, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 3805, 448, 1246, 204, 204, 461, 11564, 68, 416, 68, 4072, 68, 481, 13, 204, 264, 2139, 68, 553, 68, 546, 31, 394, 17, 716, 264, 6610, 68, 553, 68, 546, 31, 394, 17, 716, 264, 5212, 68, 835, 31, 421, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 27066, 329, 3204, 424, 560, 18445, 794, 20556, 2630, 17, 22697, 2648, 4364, 17, 329, 43191, 1769, 19, 204, 204, 264, 457, 31, 204, 268, 2139, 68, 553, 68, 546, 322, 325, 330, 2621, 311, 275, 2139, 2306, 510, 19, 204, 268, 6610, 68, 553, 68, 546, 322, 325, 330, 2621, 311, 275, 6610, 2306, 510, 19, 204, 268, 5212, 68, 835, 322, 339, 330, 41018, 1302, 348, 4488, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 204, 264, 314, 968, 3454, 204, 264, 10918, 60, 2313, 13973, 68, 28490, 289, 551, 204, 268, 379, 15555, 68, 1538, 68, 350, 22778, 491, 716, 268, 379, 18775, 68, 1015, 70, 491, 716, 268, 379, 18775, 68, 21639, 68, 2141, 491, 716, 268, 379, 18775, 68, 19655, 44777, 491, 716, 268, 379, 2873, 491, 204, 268, 379, 278, 17676, 68, 266, 68, 15515, 68, 5145, 68, 2391, 39033, 491, 716, 268, 379, 11393, 68, 38237, 68, 1181, 491, 716, 268, 379, 11393, 68, 25938, 68, 1181, 491, 204, 268, 379, 73, 68, 37647, 68, 13212, 68, 9529, 491, 716, 268, 379, 5716, 68, 6008, 22338, 68, 91, 2972, 291, 68, 4159, 491, 716, 268, 379, 17988, 68, 276, 68, 327, 68, 40119, 12, 204, 264, 2437, 204, 204, 264, 314, 968, 5798, 1870, 4707, 204, 264, 471, 11186, 40, 4380, 68, 15140, 68, 23565, 289, 463, 204, 268, 379, 14220, 597, 551, 204, 305, 379, 24918, 491, 716, 305, 379, 1641, 427, 5686, 491, 716, 305, 379, 28, 427, 329, 1132, 427, 5686, 491, 716, 305, 379, 1003, 427, 5686, 491, 716, 305, 379, 22, 274, 435, 307, 571, 10988, 521, 681, 427, 5686, 491, 716, 305, 379, 30, 427, 5686, 491, 716, 305, 379, 26, 427, 521, 887, 427, 5686, 491, 716, 305, 379, 1258, 427, 5686, 1236, 43661, 491, 716, 305, 379, 32718, 1194, 368, 274, 5686, 12, 204, 268, 7241, 204, 268, 379, 2288, 68, 14220, 597, 551, 204, 305, 379, 8390, 10692, 1101, 1236, 5746, 491, 716, 305, 379, 17170, 3859, 23779, 12, 204, 268, 7241, 204, 268, 379, 35770, 597, 551, 204, 305, 379, 39, 38591, 1288, 5746, 13, 11595, 5219, 565, 56, 11938, 716, 305, 379, 28760, 675, 5746, 18, 16560, 802, 35748, 1872, 491, 716, 305, 379, 28760, 675, 5746, 18, 38661, 4432, 2548, 12, 204, 268, 7241, 204, 268, 379, 29061, 597, 551, 204, 305, 379, 50, 24800, 5746, 13, 2097, 20802, 502, 9197, 502, 7202, 502, 18240, 502, 11595, 11938, 716, 305, 379, 45394, 316, 5746, 13, 6674, 41, 6742, 41, 11938, 716, 305, 379, 25544, 3859, 5746, 322, 12688, 412, 7257, 412, 20431, 38960, 39, 871, 41, 15795, 204, 268, 2437, 204, 264, 1211, 204, 204, 264, 314, 1606, 2306, 510, 292, 12268, 204, 264, 5212, 68, 1190, 289, 500, 204, 264, 348, 5212, 292, 1246, 19, 976, 68, 2039, 13, 204, 268, 2139, 68, 553, 68, 546, 17, 716, 268, 5212, 835, 34, 8307, 68, 835, 17, 716, 268, 12376, 68, 1309, 4980, 22919, 379, 5478, 491, 379, 5478, 7537, 43940, 7537, 379, 2438, 491, 379, 10377, 839, 204, 264, 16330, 204, 268, 314, 9738, 794, 20556, 2630, 204, 268, 5212, 19, 5613, 13, 6217, 60, 2313, 13973, 68, 28490, 17, 3138, 34, 22, 17, 15371, 34, 1021, 17, 2744, 833, 12286, 534, 204, 204, 268, 314, 6885, 2648, 4364, 204, 268, 5212, 736, 25808, 839, 289, 5212, 736, 25808, 3750, 6774, 13, 204, 305, 4464, 610, 31, 1682, 13, 204, 485, 322, 2201, 348, 1870, 17, 1019, 292, 471, 11186, 40, 4380, 68, 15140, 68, 23565, 19, 1996, 374, 397, 610, 292, 1019, 659, 716, 485, 610, 204, 305, 1179, 204, 268, 1179, 204, 204, 268, 314, 27066, 1769, 204, 268, 5212, 736, 14188, 68, 2201, 839, 289, 5212, 736, 14188, 68, 2201, 3750, 6774, 13, 3605, 610, 31, 379, 21, 12, 397, 610, 564, 6159, 43911, 12, 902, 379, 22, 534, 204, 204, 268, 314, 3025, 5212, 311, 6610, 510, 204, 268, 397, 5212, 68, 1190, 564, 500, 31, 204, 305, 5212, 19, 633, 68, 2039, 13, 14231, 68, 553, 68, 546, 17, 1112, 34, 1975, 14, 204, 268, 902, 31, 204, 305, 5212, 19, 633, 68, 2039, 13, 14231, 68, 553, 68, 546, 17, 3494, 34, 3170, 17, 1112, 34, 1975, 17, 2291, 833, 70, 534, 204, 268, 5212, 68, 1190, 1412, 368, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2139, 68, 553, 68, 546, 289, 388, 3112, 19, 2039, 7, 204, 264, 6610, 68, 553, 68, 546, 289, 388, 14231, 19, 2039, 7, 204, 264, 5212, 68, 835, 289, 3861, 204, 264, 11564, 68, 416, 68, 4072, 68, 481, 13, 3112, 68, 553, 68, 546, 17, 6610, 68, 553, 68, 546, 17, 5212, 68, 835, 14, 204, 0, 1449, 1814, 18131, 5869, 1025, 4112, 17, 572, 732, 275, 5818, 2479, 31, 368, 2699, 289, 681, 5049, 4734, 19, 22, 4112, 19, 204, 204, 2310, 618, 758, 719, 273, 5945, 311, 949, 275, 722, 31, 204, 22, 813, 8473, 681, 5049, 4734, 19, 22, 1006, 204, 14362, 813, 8473, 313, 13, 885, 14, 204, 204, 1449, 2616, 348, 313, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13, 885, 659, 572, 4122, 18131, 560, 275, 5818, 2479, 31, 204, 57, 13, 885, 14, 289, 18131, 813, 2771, 681, 5049, 4734, 19, 22, 1006, 204, 57, 13, 885, 14, 289, 7332, 31766, 2188, 19, 22, 1006, 204, 204, 4356, 17, 18131, 5869, 353, 6414, 311, 7332, 31766, 2188, 19, 22, 4112, 19, 716, 204, 11892, 17, 572, 618, 1425, 949, 808, 974, 275, 2089, 348, 5818, 31, 204, 57, 13, 885, 14, 289, 18131, 2771, 681, 5049, 4734, 19, 22, 204, 8023, 289, 7332, 31766, 2188, 19, 22, 1006, 204, 204, 2551, 17, 18131, 5869, 289, 7332, 31766, 2188, 19, 22, 4112, 19, 0, 461, 1151, 68, 1663, 13, 3173, 31, 421, 17, 10426, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 4143, 273, 1525, 497, 275, 6474, 19, 204, 204, 264, 457, 31, 204, 268, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 1525, 19, 204, 268, 10426, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 655, 64, 339, 2440, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 542, 302, 1842, 292, 273, 1237, 1583, 508, 2216, 275, 542, 302, 2630, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1525, 204, 264, 1525, 289, 1306, 204, 615, 264, 314, 1606, 848, 1237, 497, 275, 6474, 204, 264, 348, 906, 292, 933, 13, 3173, 330, 204, 268, 314, 1606, 273, 1237, 329, 3404, 490, 1025, 1842, 204, 268, 1237, 289, 537, 13, 75, 7, 2101, 1237, 463, 68, 465, 368, 98, 322, 2816, 18, 7996, 1892, 330, 2810, 204, 268, 1237, 68, 3337, 289, 551, 339, 13, 1849, 14, 348, 1103, 292, 1237, 19, 1590, 6485, 204, 822, 268, 314, 778, 397, 275, 542, 302, 1842, 292, 275, 1237, 4083, 275, 542, 302, 2630, 204, 268, 397, 1245, 13, 937, 68, 3337, 14, 2167, 10426, 31, 204, 305, 980, 987, 13, 75, 7, 11741, 463, 6103, 98, 1842, 292, 275, 1237, 17, 1101, 7550, 463, 1796, 13, 937, 68, 3337, 3835, 204, 822, 268, 314, 1255, 275, 1237, 311, 275, 1525, 204, 268, 1525, 19, 1223, 13, 937, 68, 3337, 14, 204, 615, 264, 407, 1525, 204, 204, 204, 461, 949, 68, 1663, 68, 1303, 13, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1066, 302, 830, 1842, 292, 275, 1525, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1066, 302, 830, 1842, 292, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 1974, 273, 4651, 2231, 311, 949, 275, 1066, 302, 830, 1842, 292, 275, 1525, 204, 264, 407, 1066, 13, 1303, 13, 937, 14, 348, 1237, 292, 1525, 14, 204, 204, 204, 461, 456, 68, 1663, 68, 2826, 13, 1663, 31, 458, 64, 655, 64, 339, 4395, 1113, 68, 1303, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 1525, 329, 275, 1066, 302, 1163, 1842, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 268, 1113, 68, 1303, 322, 339, 330, 334, 1066, 302, 830, 1842, 292, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 1066, 302, 830, 1525, 1842, 204, 264, 456, 13, 75, 7, 7279, 302, 830, 1525, 1842, 31, 463, 2609, 68, 1303, 743, 204, 615, 264, 314, 1198, 275, 1525, 204, 264, 456, 499, 11767, 2212, 204, 264, 348, 1237, 292, 1525, 31, 204, 268, 456, 13, 937, 14, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 4143, 273, 1525, 497, 275, 6474, 17, 9111, 275, 1066, 302, 1163, 1842, 17, 329, 5538, 275, 1563, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 1525, 7539, 497, 275, 6474, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 3015, 17, 10426, 289, 551, 339, 13, 1849, 14, 348, 1103, 292, 537, 499, 2101, 1525, 7539, 322, 3173, 17, 10426, 330, 6165, 1590, 9086, 379, 2395, 204, 305, 397, 3015, 2186, 500, 521, 10426, 2186, 500, 31, 204, 485, 456, 499, 11767, 7539, 1631, 444, 2140, 1892, 1280, 204, 485, 3524, 204, 305, 2280, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 970, 2140, 1892, 5289, 560, 273, 12937, 1280, 204, 615, 264, 314, 1606, 275, 1525, 497, 275, 6474, 204, 264, 810, 31, 204, 268, 1525, 289, 1151, 68, 1663, 13, 3173, 17, 10426, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 268, 407, 204, 615, 264, 314, 888, 275, 1066, 302, 830, 1525, 1842, 204, 264, 1113, 68, 1303, 289, 949, 68, 1663, 68, 1303, 13, 1663, 14, 204, 615, 264, 314, 1198, 275, 1563, 204, 264, 456, 68, 1663, 68, 2826, 13, 1663, 17, 1113, 68, 1303, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 8729, 204, 647, 17373, 204, 647, 1361, 204, 647, 1127, 204, 531, 1498, 532, 2334, 17, 783, 204, 204, 461, 5345, 68, 5010, 68, 6792, 13, 748, 31, 2334, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1865, 2363, 5453, 560, 23173, 830, 4847, 19283, 1683, 275, 12770, 1354, 7887, 19, 204, 204, 264, 457, 31, 204, 268, 740, 31, 334, 1650, 1014, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 379, 20591, 68, 31260, 12, 521, 379, 8558, 68, 4887, 12, 1586, 353, 4520, 19, 204, 264, 320, 204, 264, 314, 763, 275, 458, 302, 1354, 7887, 497, 275, 740, 677, 1586, 204, 264, 1354, 68, 9895, 289, 740, 19, 1087, 19, 505, 611, 20591, 68, 31260, 534, 204, 264, 397, 508, 1354, 68, 9895, 31, 204, 268, 980, 987, 499, 14344, 379, 20591, 68, 31260, 12, 1586, 431, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 264, 314, 763, 275, 1034, 1445, 497, 275, 740, 677, 1586, 204, 264, 1034, 68, 1217, 289, 740, 19, 1087, 19, 505, 611, 8558, 68, 4887, 534, 204, 264, 397, 508, 1034, 68, 1217, 31, 204, 268, 980, 987, 499, 14344, 379, 8558, 68, 4887, 12, 1586, 431, 204, 204, 264, 314, 6676, 5453, 497, 830, 4847, 19283, 1683, 848, 1354, 1445, 204, 264, 348, 1445, 68, 546, 292, 1354, 68, 9895, 31, 204, 268, 4080, 68, 6792, 68, 531, 68, 2100, 13, 748, 17, 1127, 19, 546, 19, 1541, 13, 772, 68, 1217, 17, 1445, 68, 546, 602, 204, 204, 204, 461, 1020, 68, 5207, 68, 5154, 68, 3880, 13, 2100, 68, 546, 31, 394, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 6746, 830, 4847, 3467, 3630, 1683, 275, 800, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 68, 546, 31, 334, 832, 311, 275, 1445, 311, 1813, 19, 204, 204, 264, 475, 31, 204, 268, 332, 458, 302, 4847, 3467, 3630, 19, 204, 264, 320, 204, 264, 314, 1974, 8729, 311, 1020, 830, 4847, 19283, 14395, 1683, 275, 1445, 204, 264, 407, 8729, 19, 10944, 13, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 379, 777, 491, 33840, 948, 2008, 9611, 34, 1021, 14, 204, 204, 204, 461, 4080, 68, 6792, 13, 748, 31, 2334, 17, 3467, 68, 3880, 31, 783, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 19795, 5453, 497, 275, 800, 3467, 3630, 19, 204, 204, 264, 457, 31, 204, 268, 740, 31, 334, 1650, 1014, 19, 204, 268, 3467, 68, 3880, 31, 332, 458, 302, 4847, 3467, 3630, 19, 204, 204, 264, 22165, 31, 204, 268, 1058, 741, 18654, 848, 3467, 329, 9321, 1163, 740, 2207, 311, 275, 740, 677, 14857, 19, 204, 264, 320, 204, 264, 314, 6676, 5453, 497, 848, 3467, 204, 264, 348, 3467, 68, 546, 292, 3467, 68, 3880, 31, 204, 268, 314, 2069, 275, 532, 832, 497, 275, 3467, 832, 204, 268, 588, 17, 906, 289, 1127, 19, 546, 19, 17752, 13, 865, 19, 546, 19, 47409, 13, 5154, 68, 546, 17, 1012, 34, 865, 19, 14702, 5887, 204, 268, 588, 289, 588, 19, 3834, 13, 865, 19, 16228, 17, 44313, 204, 204, 268, 314, 2175, 275, 6718, 4809, 204, 268, 740, 19, 3342, 19, 4561, 13, 75, 12, 17614, 299, 1354, 497, 463, 417, 3501, 204, 204, 268, 810, 31, 204, 305, 314, 4390, 275, 3467, 329, 881, 1163, 740, 2207, 311, 275, 740, 677, 14857, 204, 305, 2413, 289, 17373, 19, 647, 68, 3909, 13, 417, 14, 204, 305, 740, 19, 7076, 19, 826, 68, 2196, 13, 3909, 19, 748, 2207, 14, 204, 268, 827, 16581, 448, 318, 31, 204, 305, 314, 2175, 275, 532, 908, 204, 305, 740, 19, 3342, 19, 718, 13, 75, 12, 3504, 311, 532, 463, 417, 2829, 463, 74, 3501, 204, 268, 827, 13289, 448, 318, 31, 204, 305, 314, 2175, 275, 3929, 908, 204, 305, 740, 19, 3342, 19, 718, 13, 75, 12, 3504, 311, 4080, 1354, 497, 463, 417, 2829, 463, 74, 3501, 204, 204, 204, 461, 4080, 68, 6792, 68, 531, 68, 2100, 13, 748, 31, 2334, 17, 1445, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 19795, 5453, 497, 830, 4847, 19283, 1683, 275, 800, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 740, 31, 334, 1650, 1014, 19, 204, 268, 1445, 68, 546, 31, 334, 832, 311, 275, 1445, 311, 1813, 19, 204, 264, 320, 204, 264, 314, 1752, 830, 4847, 3467, 3630, 1683, 275, 1445, 204, 264, 3467, 68, 3880, 289, 1020, 68, 5207, 68, 5154, 68, 3880, 13, 2100, 68, 546, 14, 204, 204, 264, 314, 6676, 5453, 497, 275, 3467, 3630, 204, 264, 4080, 68, 6792, 13, 748, 17, 3467, 68, 3880, 14, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 2082, 204, 264, 2082, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 264, 2082, 19, 12419, 13, 3247, 19, 9281, 14, 204, 204, 264, 314, 666, 273, 6474, 4713, 329, 758, 275, 1361, 1870, 311, 21706, 204, 264, 4713, 289, 1361, 19, 20311, 374, 204, 264, 4713, 19, 12419, 13, 3247, 19, 9281, 14, 204, 204, 264, 314, 666, 273, 12919, 329, 9380, 490, 311, 275, 4713, 204, 264, 12919, 289, 1361, 19, 9807, 28492, 8592, 14, 88, 338, 4993, 417, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 534, 204, 264, 4713, 19, 18870, 13, 13416, 14, 204, 204, 264, 314, 1255, 275, 4713, 311, 275, 2082, 204, 264, 2082, 19, 17061, 13, 4075, 14, 204, 204, 264, 314, 666, 437, 1650, 1014, 322, 3834, 440, 1214, 2641, 1650, 1014, 14, 204, 264, 850, 1736, 31, 204, 268, 436, 589, 924, 889, 327, 330, 204, 305, 370, 19, 1087, 289, 463, 204, 485, 379, 20591, 68, 31260, 597, 2470, 6792, 2043, 204, 485, 379, 8558, 68, 4887, 597, 1127, 19, 14702, 374, 204, 305, 1211, 204, 305, 370, 19, 3342, 289, 2082, 204, 305, 370, 19, 7076, 289, 443, 204, 204, 268, 436, 881, 68, 2196, 13, 327, 17, 1354, 330, 204, 305, 314, 4546, 440, 1214, 2641, 1354, 6718, 3975, 204, 305, 1879, 204, 204, 264, 740, 289, 1736, 374, 204, 204, 264, 314, 977, 2363, 5453, 204, 264, 5345, 68, 5010, 68, 6792, 13, 748, 14, 204, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 417, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 2010, 12028, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2010, 12028, 510, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 537, 424, 322, 61, 659, 2311, 700, 322, 61, 68, 885, 659, 1646, 700, 322, 61, 68, 1129, 659, 542, 302, 424, 1728, 322, 61, 68, 83, 659, 329, 1029, 1019, 322, 57, 789, 204, 264, 320, 204, 264, 424, 289, 645, 19, 986, 13, 553, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 610, 64, 1123, 19, 75, 2272, 13, 2307, 13, 83, 659, 724, 14, 564, 296, 66, 204, 268, 265, 68, 804, 289, 265, 64, 1123, 19, 75, 2272, 13, 2307, 13, 83, 659, 724, 14, 564, 296, 66, 204, 268, 3093, 289, 4185, 68, 15248, 68, 20243, 68, 2539, 13, 93, 68, 1219, 17, 265, 68, 1219, 17, 771, 68, 20243, 68, 8396, 14, 204, 268, 20046, 68, 1219, 64, 78, 66, 289, 1869, 68, 8899, 68, 718, 68, 15248, 68, 20243, 68, 2539, 13, 93, 68, 1219, 17, 265, 68, 1219, 17, 3093, 17, 771, 68, 20243, 68, 8396, 14, 204, 268, 20046, 68, 804, 64, 78, 66, 289, 1869, 68, 8899, 68, 718, 68, 15248, 68, 20243, 68, 2539, 13, 93, 68, 804, 17, 265, 68, 804, 17, 3093, 17, 771, 68, 20243, 68, 8396, 14, 204, 264, 407, 20046, 68, 1219, 17, 20046, 68, 804, 204, 204, 461, 1807, 68, 15248, 68, 20243, 68, 2539, 68, 2826, 13, 50, 31, 645, 19, 766, 17, 1869, 68, 44, 17116, 68, 1219, 31, 645, 19, 766, 17, 1869, 68, 44, 17116, 68, 804, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 1563, 302, 275, 7875, 7032, 741, 570, 19, 204, 204, 264, 457, 31, 204, 268, 502, 322, 1123, 19, 766, 330, 334, 542, 302, 7032, 3263, 19, 204, 268, 1869, 68, 44, 17116, 68, 1219, 322, 1123, 19, 766, 330, 334, 1869, 8030, 2744, 348, 275, 1737, 3416, 19, 204, 268, 1869, 68, 44, 17116, 68, 804, 322, 1123, 19, 766, 330, 334, 1869, 8030, 2744, 348, 275, 683, 3416, 19, 204, 264, 320, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 25, 17, 571, 602, 204, 264, 1513, 19, 1657, 13, 50, 17, 1869, 68, 44, 17116, 68, 1219, 17, 8973, 833, 84, 491, 24961, 833, 25545, 1848, 833, 80, 491, 8973, 5242, 2640, 833, 92, 491, 1800, 833, 5135, 534, 204, 264, 1513, 19, 1657, 13, 50, 17, 1869, 68, 44, 17116, 68, 804, 17, 8973, 833, 84, 491, 24961, 833, 25545, 1848, 833, 37735, 24107, 6267, 491, 8973, 5242, 2640, 833, 8683, 491, 1800, 833, 804, 534, 204, 264, 1513, 19, 9042, 13, 1229, 833, 5231, 1824, 491, 15398, 34, 1003, 14, 204, 264, 1513, 19, 18222, 13, 21, 17, 1199, 14, 204, 264, 1513, 19, 2700, 13, 1021, 14, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1385, 424, 204, 264, 1504, 17, 1504, 68, 885, 17, 1504, 68, 1129, 17, 1504, 68, 83, 17, 313, 289, 1137, 68, 481, 611, 366, 24, 68, 481, 19, 28360, 534, 204, 204, 264, 314, 968, 11848, 204, 264, 502, 289, 645, 19, 8268, 13, 23, 17, 1132, 14, 226, 314, 3239, 302, 7032, 3263, 204, 264, 1144, 289, 2247, 226, 314, 3239, 302, 21629, 204, 204, 264, 314, 977, 6946, 311, 1640, 1869, 8030, 2744, 204, 264, 46051, 68, 44, 17116, 68, 1219, 289, 645, 19, 4324, 1802, 48, 17, 1245, 13, 50, 3694, 204, 264, 46051, 68, 44, 17116, 68, 804, 289, 645, 19, 4324, 1802, 48, 17, 1245, 13, 50, 3694, 204, 204, 264, 314, 3055, 724, 18, 7951, 4393, 18, 6877, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 50, 4019, 204, 268, 46051, 68, 44, 17116, 68, 1219, 3460, 296, 648, 46051, 68, 44, 17116, 68, 804, 3460, 296, 66, 289, 724, 68, 7951, 68, 15248, 68, 20243, 68, 2539, 13, 61, 17, 313, 17, 502, 64, 78, 648, 1144, 14, 204, 204, 264, 314, 3963, 1869, 8030, 2744, 204, 264, 1869, 68, 44, 17116, 68, 1219, 289, 645, 19, 2514, 13, 1123, 19, 3037, 13, 40, 91, 68, 44, 17116, 68, 1219, 17, 3138, 34, 21, 602, 204, 264, 1869, 68, 44, 17116, 68, 804, 289, 645, 19, 2514, 13, 1123, 19, 3037, 13, 40, 91, 68, 44, 17116, 68, 804, 17, 3138, 34, 21, 602, 204, 204, 264, 314, 3045, 1563, 204, 264, 1807, 68, 15248, 68, 20243, 68, 2539, 68, 2826, 13, 50, 17, 1869, 68, 44, 17116, 68, 1219, 17, 1869, 68, 44, 17116, 68, 804, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 5248, 7500, 204, 204, 14378, 830, 1534, 5687, 302, 686, 70, 67, 71, 9, 348, 686, 23, 688, 9484, 273, 688, 9484, 1607, 9, 329, 686, 23, 688, 9484, 308, 688, 9484, 1607, 2176, 828, 1250, 529, 1675, 8210, 292, 8247, 1552, 17, 440, 1169, 24879, 5748, 17, 1662, 1910, 7656, 3099, 529, 292, 275, 1767, 36, 204, 204, 658, 1687, 18, 1424, 18, 6702, 5696, 204, 204, 1449, 2616, 808, 1844, 17, 572, 618, 732, 273, 28375, 2955, 3979, 560, 21284, 1048, 830, 2237, 5687, 302, 686, 70, 9, 329, 686, 71, 9, 329, 8397, 686, 70, 67, 71, 2176, 1785, 1120, 1640, 275, 1563, 292, 273, 3599, 329, 3142, 1169, 9991, 19, 204, 204, 22, 19, 977, 437, 1392, 3599, 311, 1640, 275, 1563, 19, 204, 23, 19, 1861, 1048, 830, 2237, 1019, 302, 686, 70, 9, 497, 435, 311, 1607, 19, 204, 24, 19, 1765, 848, 700, 302, 686, 70, 2543, 13767, 1048, 830, 2237, 1019, 302, 686, 71, 9, 497, 435, 311, 1607, 19, 204, 25, 19, 888, 686, 70, 67, 71, 9, 329, 881, 490, 311, 275, 3599, 19, 204, 26, 19, 3182, 1169, 9991, 497, 275, 3599, 19, 204, 27, 19, 3398, 275, 542, 302, 7656, 3099, 292, 275, 3599, 19, 204, 204, 658, 15591, 204, 204, 2310, 618, 732, 275, 2631, 3372, 311, 949, 275, 542, 302, 7656, 3099, 31, 204, 204, 15, 977, 273, 758, 311, 1640, 275, 7656, 3099, 19, 204, 15, 1861, 1048, 830, 2237, 5687, 302, 686, 70, 9, 329, 686, 71, 2176, 204, 15, 888, 686, 70, 67, 71, 9, 329, 881, 490, 311, 275, 758, 19, 204, 15, 4682, 3416, 15551, 3142, 9991, 17, 275, 1302, 302, 275, 758, 1120, 444, 275, 542, 302, 7656, 3099, 19, 204, 204, 658, 1165, 1974, 11846, 204, 204, 3070, 1763, 17, 1330, 686, 70, 289, 435, 9, 329, 686, 71, 289, 435, 2543, 686, 70, 67, 71, 289, 435, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 67, 23, 289, 681, 2176, 4168, 686, 70, 289, 435, 9, 329, 686, 71, 289, 571, 2543, 686, 70, 67, 71, 289, 435, 67, 24, 289, 1132, 2176, 1785, 3524, 808, 1352, 348, 830, 2237, 5687, 302, 686, 70, 9, 329, 686, 71, 2176, 204, 204, 658, 10622, 12375, 204, 204, 8395, 8397, 830, 2237, 5687, 302, 686, 70, 67, 71, 9, 329, 7057, 9991, 17, 572, 1020, 496, 1422, 529, 1233, 2132, 7656, 3099, 292, 275, 1767, 19, 0, 647, 7693, 204, 647, 3092, 11092, 204, 647, 304, 204, 531, 284, 3409, 19, 1996, 532, 415, 3409, 4307, 204, 531, 7124, 19, 1703, 532, 794, 11843, 204, 204, 676, 415, 3409, 13109, 13, 14569, 19, 13109, 330, 204, 264, 320, 204, 264, 332, 21679, 8917, 348, 20259, 424, 497, 18386, 85, 3409, 19, 1453, 19, 204, 264, 320, 204, 264, 588, 289, 379, 53, 3409, 13109, 12, 204, 264, 4675, 68, 14250, 289, 2470, 8389, 85, 3409, 19, 1453, 839, 204, 264, 1012, 68, 3968, 289, 2470, 3189, 1963, 8389, 85, 3409, 19, 1453, 20, 91, 19, 18737, 839, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 8917, 440, 275, 20508, 1576, 19, 204, 268, 320, 204, 268, 440, 1451, 4195, 2125, 20, 82, 19, 11092, 491, 379, 87, 491, 4051, 833, 20231, 18, 29, 534, 448, 510, 31, 204, 305, 370, 19, 11092, 68, 1181, 289, 510, 19, 976, 374, 204, 268, 370, 19, 3348, 289, 3092, 11092, 19, 7354, 13, 327, 19, 11092, 68, 1181, 14, 204, 204, 264, 436, 2252, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 2735, 275, 667, 1472, 329, 4353, 2164, 348, 3509, 2752, 6214, 19, 204, 268, 320, 204, 268, 314, 1986, 2752, 5444, 497, 275, 667, 1472, 204, 268, 2752, 68, 7037, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 937, 38072, 2952, 7771, 676, 1022, 937, 13929, 2952, 1654, 70, 30336, 9919, 3930, 39461, 374, 204, 268, 348, 1977, 292, 2752, 68, 7037, 31, 204, 305, 4353, 7693, 19, 2862, 13, 805, 34, 2850, 17, 5176, 34, 327, 19, 1703, 68, 4814, 68, 1270, 14, 204, 204, 268, 314, 7000, 2164, 348, 22646, 6214, 204, 268, 348, 1472, 68, 1190, 292, 933, 13, 23, 17, 10729, 3701, 330, 204, 305, 22646, 68, 805, 289, 370, 19, 1530, 68, 3968, 64, 21, 66, 465, 43940, 11, 2225, 2508, 14271, 2478, 13, 325, 13, 2225, 68, 1190, 602, 204, 305, 4353, 7693, 19, 2862, 13, 805, 34, 46022, 68, 805, 17, 5176, 34, 327, 19, 1703, 14, 204, 204, 264, 436, 2252, 68, 4814, 68, 1270, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 2735, 273, 2752, 1472, 329, 1967, 6826, 1483, 19, 204, 268, 320, 204, 268, 1184, 289, 415, 3409, 4307, 374, 204, 268, 1184, 736, 805, 839, 289, 958, 19, 1443, 19, 805, 204, 268, 1184, 736, 1778, 839, 289, 370, 19, 5184, 68, 1778, 13, 1935, 14, 204, 268, 1184, 736, 826, 68, 834, 839, 289, 370, 19, 5184, 68, 826, 68, 834, 13, 1935, 14, 204, 268, 1184, 736, 7083, 839, 289, 370, 19, 5184, 68, 7083, 13, 1935, 14, 204, 268, 1184, 736, 4280, 839, 289, 370, 19, 5184, 68, 4280, 13, 1935, 14, 204, 268, 1184, 736, 1454, 839, 289, 370, 19, 5184, 68, 1454, 13, 1935, 14, 204, 268, 1184, 736, 15806, 839, 289, 370, 19, 5184, 68, 15806, 13, 1935, 14, 204, 268, 1184, 736, 4995, 839, 289, 370, 19, 5184, 68, 4995, 13, 1935, 14, 204, 268, 1184, 736, 1772, 4995, 839, 289, 370, 19, 5184, 68, 1772, 4995, 13, 1935, 14, 204, 268, 1184, 736, 4020, 839, 289, 370, 19, 5184, 68, 4020, 68, 1270, 13, 1935, 14, 204, 268, 1184, 736, 4814, 68, 805, 839, 289, 370, 19, 5184, 68, 4814, 68, 805, 13, 1935, 14, 204, 268, 4353, 1184, 204, 204, 264, 436, 1967, 68, 1778, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 1724, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 407, 958, 19, 8022, 17528, 2952, 7771, 359, 1022, 91, 591, 369, 2588, 10895, 22, 8098, 77, 25, 20, 492, 24098, 505, 1528, 2892, 374, 204, 204, 264, 436, 1967, 68, 826, 68, 834, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 881, 690, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 407, 958, 19, 8022, 17528, 7630, 7771, 676, 1022, 1778, 18, 94, 934, 7387, 13929, 492, 24098, 505, 374, 204, 204, 264, 436, 1967, 68, 4814, 68, 1270, 68, 1309, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 2752, 3986, 1019, 497, 275, 958, 19, 204, 268, 320, 204, 268, 407, 958, 19, 8022, 17528, 7630, 7771, 676, 1022, 4814, 18, 1270, 18, 7630, 13929, 492, 24098, 39461, 374, 204, 204, 264, 436, 1967, 68, 7083, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 5401, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2752, 68, 1270, 289, 370, 19, 5184, 68, 4814, 68, 1270, 68, 1309, 13, 1935, 14, 204, 268, 407, 2752, 68, 1270, 64, 21, 66, 204, 204, 264, 436, 1967, 68, 4280, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 5020, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2752, 68, 1270, 289, 370, 19, 5184, 68, 4814, 68, 1270, 68, 1309, 13, 1935, 14, 204, 268, 407, 2752, 68, 1270, 64, 22, 66, 204, 204, 264, 436, 1967, 68, 1454, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 943, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2752, 68, 1270, 289, 370, 19, 5184, 68, 4814, 68, 1270, 68, 1309, 13, 1935, 14, 204, 268, 407, 2752, 68, 1270, 64, 23, 66, 204, 204, 264, 436, 1967, 68, 15806, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 5495, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2752, 68, 1270, 289, 370, 19, 5184, 68, 4814, 68, 1270, 68, 1309, 13, 1935, 14, 204, 268, 407, 2752, 68, 1270, 64, 24, 66, 204, 204, 264, 436, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1967, 68, 4995, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 2090, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 9148, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 5951, 13929, 492, 24098, 39461, 374, 204, 268, 407, 9148, 64, 21, 66, 204, 204, 264, 436, 1967, 68, 1772, 4995, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 47036, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 9148, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 5951, 13929, 492, 24098, 39461, 374, 204, 268, 407, 9148, 64, 22, 66, 204, 204, 264, 436, 1967, 68, 4020, 68, 1270, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 2799, 1483, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2799, 68, 1270, 289, 1306, 204, 268, 3986, 289, 958, 19, 8022, 17528, 2952, 7771, 359, 1022, 91, 591, 369, 2588, 18, 2387, 13929, 7630, 3930, 505, 374, 204, 268, 2799, 289, 958, 19, 8022, 17528, 7630, 7771, 676, 1022, 1778, 13929, 492, 24098, 505, 374, 204, 268, 32919, 289, 304, 19, 12624, 13, 87, 12, 23050, 31, 3453, 73, 16, 11938, 3986, 5604, 21, 66, 204, 268, 4080, 289, 304, 19, 12624, 13, 87, 12, 11398, 24082, 9371, 2426, 11938, 3986, 5604, 21, 66, 204, 268, 12989, 289, 304, 19, 12624, 13, 87, 16716, 70, 12712, 1022, 12587, 9714, 19, 18737, 17865, 10091, 3453, 73, 22126, 5421, 70, 12560, 3986, 5604, 21, 66, 204, 268, 2799, 68, 1270, 19, 1223, 2930, 204, 305, 379, 4020, 597, 2799, 17, 204, 305, 379, 75, 640, 597, 32919, 17, 204, 305, 379, 4216, 68, 834, 597, 4080, 17, 204, 305, 379, 7488, 68, 4814, 597, 12989, 204, 268, 7084, 204, 268, 407, 2799, 68, 1270, 204, 204, 264, 436, 1967, 68, 4814, 68, 805, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 2752, 1274, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 1986, 6093, 2752, 1274, 204, 305, 9694, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 4814, 18, 8806, 1339, 3930, 272, 13, 87, 10497, 8223, 19, 2206, 37609, 274, 1268, 1181, 65, 1802, 17865, 6239, 27920, 9520, 21, 1664, 1590, 16327, 204, 305, 394, 22, 289, 9694, 64, 21, 1664, 2892, 611, 32796, 204, 305, 394, 23, 289, 9694, 64, 22, 1664, 2892, 611, 32796, 204, 305, 394, 24, 289, 9694, 64, 23, 1664, 2892, 611, 32796, 204, 305, 722, 289, 370, 19, 3348, 19, 2960, 499, 274, 1268, 1181, 528, 394, 22, 17, 394, 23, 17, 394, 24, 14, 204, 305, 407, 304, 19, 12624, 13, 87, 7, 6422, 833, 13, 3189, 1963, 17865, 15795, 528, 722, 5604, 21, 66, 204, 268, 827, 9394, 31, 204, 305, 314, 1986, 6093, 2752, 1274, 322, 32809, 1216, 14, 204, 305, 9694, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 4814, 18, 8806, 1339, 3930, 272, 13, 87, 10497, 8223, 19, 2206, 37609, 274, 1268, 1181, 23, 65, 1802, 17865, 6239, 27920, 9520, 21, 66, 204, 305, 407, 304, 19, 12624, 13, 87, 7, 6422, 833, 13, 3189, 1963, 17865, 15795, 528, 794, 11843, 13, 4170, 22491, 21, 66, 204, 0, 1380, 12819, 275, 3239, 28663, 4386, 18473, 7609, 8587, 204, 204, 1449, 1020, 275, 542, 41983, 1283, 970, 886, 17, 572, 618, 732, 273, 542, 1007, 329, 2909, 348, 275, 542, 496, 353, 275, 1729, 1759, 497, 1855, 275, 7830, 329, 9801, 886, 19, 204, 204, 3971, 9134, 31, 204, 204, 22, 19, 930, 39913, 3382, 329, 6787, 1416, 334, 542, 41983, 1283, 3382, 329, 6787, 353, 9806, 17, 2404, 9806, 353, 720, 4099, 5501, 497, 3382, 329, 720, 4099, 5501, 497, 6787, 19, 204, 204, 23, 19, 930, 39913, 435, 17, 1207, 329, 571, 17, 1207, 1416, 334, 542, 41983, 1283, 435, 17, 1207, 329, 571, 17, 1207, 353, 435, 17, 4589, 17, 2404, 435, 17, 4589, 353, 5106, 4099, 5501, 497, 435, 17, 1207, 329, 5106, 4099, 5501, 497, 571, 17, 1207, 19, 204, 204, 24, 19, 930, 39913, 17372, 329, 368, 17, 1207, 1416, 334, 542, 41983, 1283, 17372, 329, 368, 17, 1207, 353, 1233, 1719, 17, 2404, 1233, 1719, 353, 2753, 4099, 5501, 497, 17372, 329, 2753, 4099, 5501, 497, 368, 17, 1207, 19, 204, 204, 25, 19, 930, 39913, 571, 17, 7077, 329, 571, 17, 6386, 1416, 334, 542, 41983, 1283, 571, 17, 7077, 329, 571, 17, 6386, 353, 571, 17, 20257, 17, 2404, 571, 17, 20257, 353, 2753, 4099, 5501, 497, 571, 17, 7077, 329, 2753, 4099, 5501, 497, 571, 17, 6386, 19, 204, 204, 26, 19, 930, 39913, 1132, 2682, 329, 1132, 3894, 1416, 334, 542, 41983, 1283, 1132, 2682, 329, 1132, 3894, 353, 1132, 4452, 17, 2404, 1132, 4452, 353, 720, 4099, 5501, 497, 1132, 2682, 329, 720, 4099, 5501, 497, 1132, 3894, 19, 204, 204, 1380, 46762, 8587, 204, 204, 55, 18087, 886, 5628, 6154, 275, 8232, 3536, 302, 273, 4153, 700, 322, 4995, 931, 17, 1607, 17, 521, 368, 17, 1207, 14, 311, 275, 800, 542, 19, 204, 204, 3971, 46762, 311, 275, 43696, 22584, 31, 204, 204, 22, 19, 930, 4452, 1416, 4682, 720, 353, 2202, 1194, 720, 17, 572, 4672, 1873, 311, 3382, 19, 204, 23, 19, 930, 29, 2353, 1416, 4682, 571, 353, 2202, 1194, 720, 17, 572, 4672, 1873, 311, 1132, 1003, 19, 204, 24, 19, 930, 4553, 30, 1416, 4682, 1233, 353, 3114, 1194, 720, 17, 572, 4672, 719, 311, 681, 3276, 19, 204, 25, 19, 930, 2500, 1416, 4682, 681, 353, 2202, 1194, 720, 17, 572, 4672, 1873, 311, 1199, 19, 204, 26, 19, 930, 4088, 1416, 4682, 1132, 353, 3114, 1194, 720, 17, 572, 4672, 719, 311, 5074, 19, 204, 27, 19, 930, 30, 5820, 1416, 4682, 435, 353, 2202, 1194, 720, 17, 572, 4672, 1873, 311, 1233, 2169, 19, 204, 204, 3971, 46762, 311, 275, 43696, 33535, 31, 204, 204, 22, 19, 930, 28865, 1416, 4682, 7500, 353, 2202, 1194, 2753, 17, 572, 4672, 1873, 311, 2031, 19, 204, 23, 19, 930, 5091, 30, 1416, 4682, 10516, 353, 2202, 1194, 2753, 17, 572, 4672, 1873, 311, 6562, 19, 204, 24, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 930, 4452, 22, 1416, 4682, 13316, 353, 3114, 1194, 2753, 17, 572, 4672, 719, 311, 16106, 19, 204, 25, 19, 930, 6007, 27, 1416, 4682, 10610, 353, 3114, 1194, 2753, 17, 572, 4672, 719, 311, 17372, 19, 204, 26, 19, 930, 27763, 1416, 4682, 1233, 353, 2202, 1194, 2753, 17, 572, 4672, 1873, 311, 1607, 19, 204, 27, 19, 930, 4088, 24, 1416, 4682, 19736, 353, 3114, 1194, 2753, 17, 572, 4672, 719, 311, 11818, 19, 204, 204, 3971, 46762, 311, 275, 43696, 2767, 35925, 31, 204, 204, 22, 19, 930, 23, 17, 27, 2353, 1416, 26687, 275, 20200, 5035, 17, 3522, 887, 1323, 720, 17, 572, 2931, 275, 435, 311, 571, 329, 2652, 275, 3258, 311, 275, 1629, 311, 2962, 17, 6465, 292, 571, 17, 1207, 19, 204, 23, 19, 930, 24, 17, 29, 2314, 1416, 4682, 1132, 1323, 720, 17, 2931, 275, 571, 311, 681, 17, 6465, 292, 681, 17, 1207, 19, 204, 24, 19, 930, 27, 17, 25, 4957, 1416, 4682, 681, 962, 720, 17, 3550, 275, 887, 448, 490, 353, 17, 6465, 292, 887, 17, 1207, 19, 204, 25, 19, 930, 29, 17, 7525, 23, 1416, 4682, 720, 1323, 720, 17, 2931, 275, 1132, 311, 1233, 17, 6465, 292, 1233, 17, 1207, 19, 204, 26, 19, 930, 22, 17, 45607, 1416, 4682, 1168, 1323, 720, 17, 2931, 275, 368, 311, 435, 17, 6465, 292, 435, 17, 1207, 19, 204, 27, 19, 930, 23, 17, 4589, 1416, 4682, 720, 289, 720, 17, 3550, 275, 435, 448, 490, 353, 17, 6465, 292, 435, 17, 1207, 19, 204, 28, 19, 930, 28, 17, 43018, 1416, 4682, 435, 962, 720, 17, 3550, 275, 1168, 448, 490, 353, 17, 6465, 292, 1168, 17, 1207, 19, 204, 29, 19, 930, 26, 17, 27, 6913, 1416, 4682, 887, 1323, 720, 17, 2931, 275, 720, 311, 887, 17, 6465, 292, 887, 17, 1207, 19, 204, 30, 19, 930, 24, 17, 38791, 1416, 4682, 368, 962, 720, 17, 3550, 275, 571, 448, 490, 353, 17, 6465, 292, 571, 17, 1207, 19, 204, 1003, 19, 930, 30, 17, 28, 2300, 1416, 4682, 1168, 1323, 720, 17, 2931, 275, 1233, 311, 931, 17, 6465, 292, 931, 17, 1207, 19, 204, 204, 1380, 4496, 6608, 17, 778, 17, 329, 22219, 594, 204, 204, 1449, 2616, 3490, 974, 6608, 17, 778, 17, 329, 22219, 594, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 15047, 273, 19065, 1043, 810, 777, 1609, 523, 275, 1483, 800, 292, 275, 1844, 19, 204, 23, 19, 930, 5995, 777, 1214, 810, 311, 3020, 397, 490, 12478, 275, 4042, 302, 275, 1844, 19, 204, 24, 19, 930, 31234, 594, 777, 1214, 810, 1609, 523, 275, 5889, 302, 275, 1356, 17, 4461, 33227, 448, 3600, 19, 204, 25, 19, 930, 42072, 9221, 329, 9101, 777, 3119, 872, 1020, 273, 1988, 496, 12478, 830, 4042, 302, 275, 1844, 19, 204, 204, 3971, 1165, 31, 204, 204, 11626, 329, 313, 7113, 874, 4236, 14627, 19, 5979, 869, 435, 1182, 14627, 1194, 313, 7113, 19, 2026, 1910, 14627, 1583, 848, 14757, 874, 36, 204, 204, 18, 930, 6702, 368, 322, 28506, 12541, 5486, 677, 5257, 313, 7113, 869, 610, 14627, 19, 5512, 5979, 869, 610, 465, 435, 14627, 19, 204, 18, 930, 6702, 435, 322, 5995, 12541, 334, 1113, 542, 302, 14627, 1250, 874, 4430, 353, 610, 465, 322, 93, 465, 435, 14, 289, 4236, 19, 204, 18, 930, 6702, 571, 322, 31234, 594, 12541, 12748, 275, 1581, 610, 465, 610, 465, 435, 289, 4236, 4658, 451, 435, 93, 465, 435, 289, 4236, 19, 31889, 435, 497, 1855, 2902, 4658, 435, 93, 289, 2468, 19, 28996, 1855, 2902, 560, 435, 4658, 610, 289, 2153, 19, 204, 18, 930, 6702, 681, 322, 5995, 12541, 828, 313, 7113, 869, 2153, 14627, 17, 1675, 5979, 869, 2153, 465, 435, 289, 3139, 14627, 19, 32252, 17, 1250, 874, 2153, 465, 3139, 289, 4236, 14627, 17, 928, 4083, 275, 1844, 4818, 19, 204, 204, 4356, 17, 313, 7113, 869, 2153, 14627, 17, 329, 5979, 869, 3139, 14627, 19, 0, 461, 838, 68, 18693, 13, 1454, 68, 12505, 31, 394, 17, 943, 68, 8344, 31, 394, 14, 393, 7063, 31, 204, 264, 320, 204, 264, 2605, 273, 11820, 741, 496, 21796, 3161, 741, 329, 5538, 3595, 2518, 329, 1877, 14101, 490, 19, 204, 204, 264, 457, 31, 204, 268, 943, 68, 12505, 322, 325, 330, 334, 943, 311, 444, 9425, 2518, 14101, 275, 741, 19, 204, 268, 943, 68, 8344, 322, 325, 330, 334, 943, 311, 444, 9425, 1877, 14101, 275, 741, 19, 204, 204, 264, 475, 31, 204, 268, 332, 11820, 741, 496, 21796, 275, 2171, 741, 19, 204, 264, 320, 204, 264, 436, 11820, 68, 2539, 13, 4266, 31, 7063, 14, 393, 7063, 31, 204, 268, 320, 204, 268, 332, 11820, 741, 496, 21796, 3161, 741, 329, 5538, 3595, 2518, 329, 1877, 14101, 490, 19, 204, 204, 268, 457, 31, 204, 305, 6398, 31, 334, 741, 311, 444, 14950, 19, 204, 204, 268, 475, 31, 204, 305, 332, 9073, 741, 496, 7987, 275, 2171, 741, 19, 204, 268, 320, 204, 268, 436, 9073, 4934, 1038, 17, 930, 2251, 14, 393, 443, 31, 204, 305, 320, 204, 305, 334, 9073, 741, 496, 7987, 275, 2171, 741, 19, 204, 204, 305, 457, 31, 204, 485, 540, 1038, 31, 7618, 542, 302, 1950, 18, 11415, 1906, 19, 204, 485, 930, 2251, 31, 7618, 542, 302, 4541, 1906, 19, 204, 305, 320, 204, 305, 314, 1198, 275, 943, 2518, 14101, 275, 741, 204, 305, 456, 13, 1454, 68, 12505, 14, 204, 305, 810, 31, 204, 485, 314, 4889, 275, 2171, 741, 440, 275, 1917, 1906, 204, 485, 6398, 4934, 1038, 17, 930, 2251, 14, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 741, 2428, 204, 485, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 305, 6666, 31, 204, 485, 314, 1198, 275, 943, 1877, 14101, 275, 741, 204, 485, 456, 13, 1454, 68, 8344, 14, 204, 204, 268, 407, 9073, 204, 204, 264, 407, 11820, 68, 2539, 204, 204, 204, 8, 666, 273, 11820, 496, 5538, 388, 17333, 741, 7, 2518, 329, 388, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 10981, 299, 741, 7, 1877, 14101, 275, 741, 204, 2539, 68, 18693, 289, 838, 68, 18693, 499, 17333, 741, 528, 388, 10981, 299, 741, 431, 204, 204, 204, 37, 2539, 68, 18693, 204, 461, 15399, 13, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 15399, 943, 19, 204, 204, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 311, 444, 1376, 292, 275, 15399, 943, 19, 204, 264, 320, 204, 264, 456, 13, 75, 7, 5975, 17, 463, 417, 23214, 204, 204, 204, 37, 2539, 68, 18693, 204, 461, 560, 74, 13, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 43401, 943, 19, 204, 204, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 311, 444, 1376, 292, 275, 43401, 943, 19, 204, 264, 320, 204, 264, 456, 13, 75, 7, 32300, 17, 463, 417, 23214, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1295, 275, 13170, 3263, 204, 264, 15399, 499, 6192, 431, 204, 264, 560, 74, 499, 14993, 431, 204, 0, 28016, 501, 1888, 42, 8450, 313, 7067, 9213, 62, 204, 24749, 12310, 17561, 17402, 48758, 204, 50, 8882, 2343, 43777, 5108, 204, 46815, 562, 3629, 437, 18126, 302, 275, 5634, 2927, 292, 16419, 11636, 8910, 31112, 329, 2736, 40162, 311, 275, 5384, 17, 13810, 17, 329, 5519, 302, 3651, 9745, 19, 34153, 17, 275, 2986, 348, 17318, 10141, 8033, 292, 3651, 9745, 529, 8699, 19, 9134, 497, 931, 10141, 329, 9745, 1120, 444, 1917, 17, 8374, 523, 275, 2799, 677, 3793, 19, 34347, 2255, 6016, 497, 3277, 18598, 16604, 291, 9745, 17, 1702, 448, 3479, 10548, 9012, 44633, 17, 26892, 24758, 17, 523, 395, 16410, 24502, 560, 556, 8954, 18117, 1102, 8929, 17, 2442, 10141, 8033, 292, 26140, 4614, 17, 10141, 10994, 9271, 11758, 10502, 13955, 6709, 17, 33710, 12511, 6427, 17, 329, 7322, 9172, 26004, 311, 3536, 9745, 19, 1765, 848, 1763, 17, 8916, 3695, 1120, 444, 1917, 448, 5665, 348, 15994, 311, 3126, 275, 2085, 329, 1352, 302, 275, 29391, 17, 13199, 13171, 17, 329, 790, 5384, 329, 5519, 17973, 10660, 19, 204, 50, 8882, 2343, 43777, 5108, 6894, 0, 647, 3238, 204, 647, 1127, 204, 647, 1804, 204, 204, 461, 636, 68, 2196, 68, 1054, 68, 1038, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4071, 1354, 1007, 1906, 329, 2914, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 2914, 329, 3630, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 1218, 1860, 329, 7887, 534, 204, 264, 1732, 19, 826, 68, 2389, 611, 3880, 491, 16771, 833, 27602, 1540, 3603, 865, 19, 14702, 27273, 1340, 833, 32217, 311, 458, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 45, 491, 6262, 5423, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 14625, 4213, 1860, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 82, 491, 6262, 12171, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 14625, 1489, 329, 690, 302, 1673, 15445, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 84, 491, 6262, 1115, 491, 5426, 4980, 417, 491, 379, 83, 491, 379, 12171, 491, 379, 82, 491, 379, 835, 491, 379, 88, 2043, 1540, 833, 417, 491, 1340, 833, 8477, 919, 560, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 87, 491, 6262, 10916, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 6714, 1940, 7887, 14395, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 88, 491, 6262, 7516, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 14625, 7539, 534, 204, 204, 264, 407, 1732, 19, 1703, 68, 1038, 374, 204, 204, 461, 636, 68, 2375, 68, 416, 68, 9895, 13, 546, 31, 394, 17, 9611, 31, 1109, 17, 2248, 68, 5423, 31, 1109, 14, 393, 927, 31, 204, 264, 320, 204, 264, 4071, 1860, 329, 7887, 497, 273, 800, 832, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 3686, 1860, 329, 7887, 497, 19, 204, 268, 9611, 322, 2107, 330, 2266, 311, 15062, 7887, 14395, 19, 204, 268, 2248, 68, 5423, 322, 2107, 330, 2266, 311, 2255, 4213, 1860, 329, 7887, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 3330, 302, 1860, 329, 7887, 19, 204, 264, 320, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 546, 330, 204, 268, 407, 7541, 1306, 204, 204, 264, 1860, 68, 481, 289, 1306, 204, 264, 23631, 68, 481, 289, 1306, 204, 204, 264, 348, 510, 292, 1127, 19, 8970, 13, 546, 330, 204, 268, 397, 508, 2248, 68, 5423, 329, 510, 19, 7209, 7542, 4448, 204, 305, 3524, 204, 204, 268, 3101, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 546, 17, 510, 14, 204, 268, 424, 289, 463, 204, 305, 379, 932, 597, 379, 553, 12, 397, 1127, 19, 546, 19, 13226, 13, 5022, 68, 546, 14, 902, 379, 1217, 491, 204, 305, 379, 546, 597, 510, 465, 2448, 12, 397, 1127, 19, 546, 19, 13226, 13, 5022, 68, 546, 14, 902, 5014, 2008, 204, 305, 379, 835, 597, 1127, 19, 546, 19, 33649, 13, 5022, 68, 546, 14, 397, 1127, 19, 546, 19, 13226, 13, 5022, 68, 546, 14, 902, 443, 17, 204, 305, 379, 12171, 597, 1127, 19, 546, 19, 505, 36989, 13, 5022, 68, 546, 14, 204, 268, 1211, 204, 204, 268, 397, 1127, 19, 546, 19, 13226, 13, 5022, 68, 546, 330, 204, 305, 1860, 68, 481, 19, 1223, 13, 481, 14, 204, 268, 902, 31, 204, 305, 23631, 68, 481, 19, 1223, 13, 481, 14, 204, 204, 305, 397, 9611, 31, 204, 485, 860, 68, 2375, 17, 860, 68, 14175, 289, 636, 68, 2375, 68, 416, 68, 9895, 13, 5022, 68, 546, 17, 9611, 17, 2248, 68, 5423, 14, 204, 485, 1860, 68, 481, 19, 6683, 13, 1509, 68, 2375, 14, 204, 485, 23631, 68, 481, 19, 6683, 13, 1509, 68, 14175, 14, 204, 204, 264, 407, 1860, 68, 481, 17, 23631, 68, 481, 204, 204, 461, 1883, 68, 416, 68, 2102, 68, 481, 13, 14175, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 31, 458, 17, 1860, 31, 458, 17, 2914, 14, 393, 443, 31, 204, 264, 320, 204, 264, 20808, 329, 5538, 1445, 329, 510, 424, 19, 204, 204, 264, 457, 31, 204, 268, 23631, 322, 655, 330, 332, 458, 302, 1445, 424, 19, 204, 268, 1860, 322, 655, 330, 332, 458, 302, 510, 424, 19, 204, 268, 2914, 31, 8476, 1007, 2914, 19, 204, 264, 320, 204, 264, 636, 68, 834, 289, 4464, 690, 68, 93, 31, 1804, 19, 2664, 19, 28469, 13, 834, 68, 93, 789, 7899, 10728, 62, 5079, 82, 5079, 73, 1564, 45, 6212, 50, 6212, 56, 431, 204, 204, 264, 348, 1184, 292, 23631, 31, 204, 268, 456, 13, 75, 1954, 1271, 736, 546, 9436, 204, 204, 264, 348, 1184, 292, 1860, 31, 204, 268, 690, 289, 636, 68, 834, 13, 1271, 736, 12171, 2378, 397, 2914, 19, 12171, 902, 5607, 204, 268, 1302, 289, 394, 13, 1271, 736, 835, 2378, 397, 2914, 19, 7516, 902, 5607, 204, 204, 268, 456, 13, 75, 1954, 834, 31, 1036, 1134, 835, 31, 1909, 1134, 1271, 736, 546, 9436, 204, 204, 264, 1245, 68, 2375, 289, 283, 1954, 1796, 13, 2375, 4150, 510, 29225, 88, 12, 397, 1245, 13, 2375, 14, 2167, 368, 902, 5607, 2495, 204, 264, 1245, 68, 14175, 289, 283, 1954, 1796, 13, 14175, 4150, 4622, 29225, 88, 12, 397, 1245, 13, 14175, 14, 2167, 368, 902, 5607, 2495, 204, 264, 456, 13, 75, 1954, 1796, 68, 2375, 1522, 463, 1796, 68, 14175, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 2914, 289, 636, 68, 2196, 68, 1054, 68, 1038, 374, 204, 204, 264, 830, 68, 2375, 289, 1306, 204, 264, 830, 68, 14175, 289, 1306, 204, 204, 264, 348, 832, 292, 2914, 19, 3880, 31, 204, 268, 1860, 17, 23631, 289, 636, 68, 2375, 68, 416, 68, 9895, 13, 546, 17, 2914, 19, 10916, 17, 2914, 19, 5423, 14, 204, 268, 830, 68, 2375, 19, 6683, 13, 2375, 14, 204, 268, 830, 68, 14175, 19, 6683, 13, 14175, 14, 204, 204, 264, 314, 4641, 424, 204, 264, 1552, 68, 1424, 289, 463, 204, 268, 379, 83, 597, 379, 546, 491, 204, 268, 379, 417, 597, 379, 546, 491, 204, 268, 379, 82, 597, 379, 12171, 491, 204, 268, 379, 12171, 597, 379, 12171, 491, 204, 268, 379, 88, 597, 379, 835, 491, 204, 268, 379, 835, 597, 379, 835, 12, 204, 264, 1211, 19, 505, 13, 4018, 19, 1115, 17, 379, 546, 534, 204, 204, 264, 2282, 68, 2375, 289, 2282, 13, 668, 68, 2375, 17, 896, 34, 3605, 610, 31, 610, 19, 505, 13, 1115, 68, 1424, 17, 28526, 204, 264, 2282, 68, 14175, 289, 2282, 13, 668, 68, 14175, 17, 896, 34, 3605, 610, 31, 610, 19, 505, 13, 1115, 68, 1424, 17, 28526, 204, 204, 264, 1883, 68, 416, 68, 2102, 68, 481, 13, 5518, 68, 14175, 17, 2282, 68, 2375, 17, 2914, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 676, 5181, 280, 3333, 16659, 31, 204, 264, 320, 204, 264, 4191, 3855, 273, 800, 782, 353, 437, 978, 280, 3333, 302, 970, 904, 3157, 19, 204, 204, 264, 1532, 31, 204, 264, 443, 204, 204, 264, 10523, 31, 204, 264, 353, 68, 1931, 280, 3333, 13, 88, 22, 31, 394, 17, 297, 23, 31, 394, 17, 297, 24, 31, 394, 14, 393, 1109, 31, 4191, 397, 297, 24, 353, 437, 978, 280, 3333, 302, 297, 22, 329, 297, 23, 19, 204, 264, 320, 204, 204, 264, 436, 353, 68, 1931, 280, 3333, 13, 327, 17, 297, 22, 31, 394, 17, 297, 23, 31, 394, 17, 297, 24, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 297, 24, 353, 437, 978, 280, 3333, 302, 297, 22, 329, 297, 23, 19, 204, 204, 268, 457, 31, 204, 268, 297, 22, 322, 325, 330, 334, 1043, 782, 19, 204, 268, 297, 23, 322, 325, 330, 334, 1350, 782, 19, 204, 268, 297, 24, 322, 325, 330, 334, 782, 311, 1356, 348, 978, 280, 3333, 19, 204, 204, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 297, 24, 353, 437, 978, 280, 3333, 302, 297, 22, 329, 297, 23, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 348, 2872, 3806, 204, 268, 397, 508, 830, 1568, 88, 22, 17, 297, 23, 17, 297, 24, 1037, 204, 305, 407, 1078, 226, 314, 455, 1078, 397, 1169, 302, 275, 3157, 529, 1392, 204, 204, 268, 314, 778, 397, 275, 5466, 302, 297, 22, 329, 297, 23, 881, 719, 311, 275, 1277, 302, 297, 24, 204, 268, 397, 1245, 13, 88, 22, 14, 465, 1245, 13, 88, 23, 14, 2167, 1245, 13, 88, 24, 330, 204, 305, 407, 1078, 226, 314, 455, 1078, 397, 275, 5466, 770, 508, 2216, 204, 204, 268, 314, 977, 273, 435, 41, 1435, 311, 1640, 275, 978, 280, 3333, 1714, 204, 268, 2216, 68, 1867, 289, 5787, 1975, 66, 540, 322, 1796, 13, 88, 23, 14, 465, 368, 14, 348, 906, 292, 933, 13, 1796, 13, 88, 22, 14, 465, 368, 2395, 204, 268, 2216, 68, 1867, 64, 21, 1799, 21, 66, 289, 959, 226, 314, 334, 1392, 782, 353, 437, 978, 280, 3333, 302, 970, 1392, 3157, 204, 204, 268, 314, 977, 275, 1043, 1237, 329, 1837, 302, 275, 1435, 204, 268, 370, 806, 9462, 68, 1867, 13, 4054, 68, 1867, 17, 297, 22, 17, 297, 23, 17, 297, 24, 14, 204, 204, 268, 314, 10155, 292, 275, 3022, 302, 275, 1435, 974, 8175, 7786, 204, 268, 370, 806, 5716, 68, 1867, 13, 4054, 68, 1867, 17, 297, 22, 17, 297, 23, 17, 297, 24, 14, 204, 204, 268, 314, 334, 978, 280, 3333, 1714, 353, 6929, 292, 275, 5533, 18, 1633, 8937, 302, 275, 1435, 204, 268, 407, 2216, 68, 1867, 64, 1796, 13, 88, 22, 43162, 1796, 13, 88, 23, 2395, 204, 204, 264, 436, 906, 9462, 68, 1867, 13, 327, 17, 2216, 68, 1867, 31, 458, 17, 297, 22, 31, 394, 17, 297, 23, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 895, 2769, 19, 1223, 13, 9431, 14, 204, 204, 485, 314, 828, 275, 6199, 869, 275, 1729, 1848, 17, 275, 1582, 353, 508, 42596, 204, 485, 1677, 1848, 64, 9431, 66, 564, 1848, 64, 1241, 744, 204, 895, 407, 1078, 204, 204, 268, 407, 959, 204, 204, 264, 314, 3055, 19040, 348, 830, 28178, 2731, 204, 264, 348, 944, 292, 933, 13, 920, 68, 3076, 330, 204, 268, 397, 508, 4371, 64, 1241, 744, 204, 305, 397, 508, 15715, 68, 2922, 68, 1803, 13, 1241, 330, 204, 485, 407, 1078, 204, 204, 264, 407, 959, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1165, 1265, 204, 264, 7576, 68, 655, 289, 463, 21, 31, 551, 22, 17, 571, 648, 368, 31, 551, 21, 17, 435, 648, 435, 31, 551, 22, 17, 571, 648, 571, 31, 551, 21, 17, 435, 7916, 204, 264, 456, 13, 360, 68, 45252, 33017, 68, 1944, 13, 15197, 68, 655, 602, 204, 0, 315, 204, 1834, 2413, 3629, 273, 12206, 25579, 850, 496, 30589, 26575, 2752, 3688, 497, 273, 47127, 2752, 6280, 19, 204, 315, 204, 204, 531, 1498, 532, 1061, 17, 783, 204, 647, 2164, 204, 531, 8632, 532, 8204, 204, 204, 37, 6611, 204, 676, 12206, 31, 204, 264, 320, 5272, 273, 2752, 440, 1163, 3688, 1279, 204, 264, 1724, 31, 394, 204, 264, 1779, 31, 394, 204, 264, 5401, 31, 421, 204, 204, 676, 12206, 25579, 31, 204, 264, 320, 204, 264, 18712, 273, 2752, 15796, 496, 39321, 2752, 3688, 497, 273, 47127, 2752, 6280, 19, 204, 204, 264, 1532, 31, 204, 268, 1034, 68, 805, 322, 325, 330, 334, 1034, 1274, 302, 275, 2752, 6280, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1034, 68, 805, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 12206, 25579, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 1034, 68, 805, 322, 325, 330, 334, 1034, 1274, 302, 275, 2752, 6280, 19, 204, 268, 320, 204, 268, 370, 19, 772, 68, 805, 289, 1034, 68, 805, 204, 204, 264, 436, 15080, 68, 19649, 13, 327, 14, 393, 783, 64, 9501, 744, 204, 268, 320, 204, 268, 18712, 26575, 2752, 3688, 497, 275, 2752, 6280, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 9501, 744, 332, 458, 302, 12206, 2828, 2457, 275, 35231, 2752, 3688, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 2878, 273, 4559, 824, 311, 275, 2752, 6280, 311, 3752, 2752, 3688, 204, 305, 958, 289, 2164, 19, 505, 13, 327, 19, 772, 68, 805, 465, 6040, 19649, 431, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 204, 305, 314, 2735, 275, 2084, 958, 204, 305, 2752, 68, 481, 289, 958, 19, 1775, 374, 204, 204, 305, 314, 1986, 329, 407, 275, 2752, 3688, 204, 305, 407, 370, 806, 5184, 68, 4814, 68, 4591, 13, 4814, 68, 481, 14, 204, 204, 268, 827, 2164, 19, 6866, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 15080, 1352, 204, 305, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 204, 264, 436, 906, 5184, 68, 4814, 68, 4591, 13, 327, 17, 2752, 68, 481, 31, 1061, 14, 393, 783, 64, 9501, 744, 204, 268, 320, 204, 268, 7483, 2752, 3688, 497, 275, 3634, 2084, 958, 19, 204, 204, 268, 457, 31, 204, 305, 2752, 68, 481, 322, 1665, 330, 334, 3634, 2084, 958, 1174, 2752, 3688, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 9501, 744, 332, 458, 302, 12206, 2828, 2457, 275, 4989, 2752, 3688, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1392, 458, 311, 1640, 275, 4989, 2752, 3688, 204, 268, 12989, 289, 1306, 204, 204, 268, 314, 1861, 1048, 275, 2752, 3688, 292, 275, 958, 204, 268, 348, 2752, 292, 2752, 68, 481, 1166, 19649, 8682, 204, 305, 314, 1986, 275, 2752, 1724, 17, 1274, 17, 329, 5401, 204, 305, 1724, 289, 2752, 1166, 1778, 1339, 204, 305, 1779, 289, 2752, 1166, 805, 1339, 204, 305, 5401, 289, 2752, 1166, 7083, 1339, 204, 204, 305, 314, 666, 273, 12206, 726, 329, 881, 490, 311, 275, 458, 204, 305, 12989, 19, 1223, 13, 9501, 13, 1778, 17, 1779, 17, 5401, 602, 204, 204, 268, 407, 12989, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 11000, 1662, 311, 732, 275, 12206, 25579, 850, 311, 15080, 2752, 3688, 19, 204, 264, 320, 204, 264, 314, 666, 273, 12206, 25579, 1014, 440, 275, 1034, 1274, 302, 275, 2752, 6280, 204, 264, 15796, 289, 12206, 25579, 499, 3189, 1963, 2569, 19, 1453, 431, 204, 204, 264, 314, 31964, 2752, 3688, 974, 275, 12206, 25579, 1014, 204, 264, 12989, 289, 15796, 19, 22662, 68, 19649, 374, 204, 204, 264, 314, 1198, 275, 35231, 2752, 3688, 204, 264, 348, 2752, 292, 12989, 31, 204, 268, 456, 13, 75, 7, 10453, 31, 463, 4814, 19, 1778, 1522, 1274, 31, 463, 4814, 19, 805, 1522, 29844, 31, 463, 4814, 19, 7083, 98, 3331, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 11594, 17140, 490, 4430, 382, 406, 38338, 6982, 275, 2631, 9566, 292, 275, 392, 2179, 4657, 86, 204, 3103, 5971, 2842, 25821, 19, 828, 872, 874, 34026, 8052, 4436, 523, 1792, 14705, 17, 690, 3848, 1856, 2219, 14224, 397, 872, 8170, 497, 1051, 5431, 311, 3161, 19, 10006, 42123, 397, 1051, 1561, 353, 15981, 302, 275, 5261, 17, 275, 5261, 529, 8944, 496, 4539, 1051, 19, 8879, 275, 13024, 302, 437, 8348, 14670, 17, 27234, 1283, 1605, 5194, 1784, 3253, 690, 311, 9203, 4533, 329, 1818, 17, 273, 1950, 18, 3435, 48135, 2620, 19, 204, 5039, 273, 23781, 17, 18827, 11898, 1741, 1523, 1017, 3346, 9263, 690, 17, 1101, 448, 9759, 448, 872, 2601, 311, 275, 12679, 17, 6126, 1120, 444, 9455, 19, 11815, 20095, 1429, 30706, 8904, 943, 17066, 5544, 4112, 2518, 490, 867, 2312, 17, 329, 1422, 2219, 867, 273, 11802, 970, 4112, 2518, 275, 943, 867, 2312, 19, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15605, 523, 273, 2875, 5431, 1429, 7177, 874, 19167, 1330, 275, 690, 24031, 27809, 19, 1765, 1763, 17, 1104, 5194, 974, 9093, 329, 22631, 14626, 2090, 311, 2379, 275, 690, 302, 275, 1673, 3094, 1259, 19, 204, 4356, 17, 3585, 10935, 3326, 867, 1051, 302, 275, 1043, 7177, 348, 392, 2179, 19, 0, 673, 6728, 741, 353, 273, 6837, 5210, 302, 5698, 28303, 19, 1131, 3406, 1051, 18, 24768, 302, 2459, 1415, 35769, 630, 5698, 10692, 874, 448, 273, 5210, 44198, 311, 273, 308, 638, 2837, 2854, 498, 5746, 17766, 299, 9463, 19, 18410, 17, 1910, 2459, 770, 508, 7940, 808, 5210, 19, 204, 15605, 7239, 275, 10769, 496, 2459, 770, 521, 770, 508, 6728, 529, 3700, 17, 1422, 6644, 311, 444, 970, 896, 3857, 496, 24269, 275, 6728, 1352, 19, 5028, 896, 2479, 353, 275, 1187, 302, 28827, 1745, 12058, 7634, 560, 3584, 521, 14906, 19, 5904, 323, 1745, 12058, 5438, 311, 275, 19559, 496, 8029, 275, 6728, 1352, 497, 1051, 10692, 311, 275, 904, 19, 5439, 440, 15964, 28827, 1745, 12058, 17, 1702, 448, 17126, 329, 25845, 17, 2886, 273, 6118, 2123, 329, 1182, 38979, 6728, 1352, 19, 4171, 3584, 7634, 273, 2323, 6836, 302, 4303, 5798, 9442, 496, 4921, 275, 1043, 970, 18, 12193, 302, 273, 1722, 21782, 5798, 19, 6263, 17, 2459, 618, 3074, 9442, 630, 5698, 28303, 329, 2379, 496, 1605, 9442, 529, 12308, 20160, 2614, 275, 1259, 677, 3566, 1561, 302, 5092, 5798, 19, 10677, 17, 292, 3584, 440, 9463, 18, 1424, 18, 29320, 28827, 1745, 12058, 17, 3469, 3536, 11658, 292, 275, 6728, 1352, 2864, 29029, 4303, 5798, 3200, 7949, 496, 2549, 3014, 311, 5701, 311, 9437, 9442, 17, 8287, 690, 17, 329, 6863, 6923, 19, 204, 673, 904, 896, 2479, 353, 275, 3003, 302, 12750, 329, 4361, 2886, 6171, 14266, 311, 2459, 292, 17502, 348, 6728, 19, 18284, 28303, 440, 3114, 6728, 7028, 1308, 273, 8372, 302, 2886, 6171, 1924, 9455, 329, 16863, 6728, 11366, 19, 4171, 1729, 28303, 1425, 1308, 14224, 9442, 311, 7324, 2459, 10998, 82, 2547, 19, 204, 18, 12003, 311, 275, 565, 638, 2837, 2854, 498, 34748, 322, 10938, 14, 204, 40415, 3793, 311, 41381, 7260, 25397, 311, 308, 638, 2837, 2854, 498, 1870, 5798, 329, 11845, 496, 1340, 20966, 3153, 25397, 19, 334, 8576, 353, 1085, 302, 275, 5658, 3793, 6684, 17313, 275, 21486, 19, 204, 18, 18284, 12661, 10677, 31, 40631, 17, 34532, 2680, 31299, 17, 329, 34480, 88, 322, 22415, 14, 204, 11443, 3629, 1483, 523, 275, 20252, 10683, 17, 17502, 17, 329, 8411, 302, 5698, 10692, 2459, 974, 2327, 1792, 424, 6651, 19, 10303, 11975, 19490, 10140, 4751, 2459, 25642, 292, 5698, 28303, 17, 1901, 2459, 4627, 1250, 18108, 273, 13846, 19761, 19, 204, 18, 5140, 15868, 329, 18284, 12661, 18, 39, 638, 2837, 2854, 498, 21820, 13, 23087, 789, 204, 26719, 496, 34085, 275, 4263, 302, 1259, 4643, 292, 47958, 5698, 10692, 4154, 71, 638, 2837, 2854, 498, 6728, 7028, 19, 334, 8622, 302, 970, 18, 2873, 311, 3420, 18, 2873, 6728, 5956, 353, 14511, 329, 6838, 3793, 1465, 6728, 3758, 353, 11188, 19, 204, 18, 21820, 329, 5904, 323, 1745, 5158, 10095, 322, 21265, 789, 204, 11767, 17, 560, 1259, 17, 302, 6728, 329, 28827, 1745, 20187, 17, 34033, 33432, 17, 424, 18062, 17, 39029, 329, 11141, 17, 28827, 1745, 27970, 17, 329, 2323, 6836, 329, 2323, 3200, 43707, 19, 204, 18, 18284, 12661, 21820, 8540, 17, 4639, 302, 10224, 17, 34188, 19, 204, 17155, 7894, 5698, 10692, 2459, 6728, 311, 275, 4639, 302, 10224, 630, 34188, 19, 8540, 8740, 3629, 1855, 3509, 6171, 311, 2459, 448, 2590, 448, 292, 18, 3823, 1737, 348, 5698, 10692, 21074, 1288, 19, 204, 18, 25845, 296, 28335, 19, 204, 43006, 348, 2459, 17, 6757, 17, 329, 24445, 496, 32065, 25845, 12, 9244, 6728, 12058, 19, 1058, 5910, 13157, 275, 6728, 302, 2459, 497, 1051, 25845, 10692, 20, 32541, 311, 3161, 19, 204, 18, 22868, 21820, 10601, 19, 204, 5059, 4643, 22552, 496, 22868, 18284, 2656, 280, 1110, 4147, 1017, 8052, 311, 4897, 496, 23930, 32817, 311, 3420, 18, 2873, 14906, 19, 10677, 1415, 18715, 292, 275, 1259, 677, 25081, 3839, 4879, 10601, 529, 31803, 23382, 630, 273, 681, 18, 2873, 9463, 397, 1250, 4151, 437, 19611, 677, 5746, 19, 204, 18, 7136, 18837, 2001, 45118, 5904, 323, 1745, 36070, 1283, 275, 7136, 18837, 18284, 12661, 6136, 329, 275, 4639, 302, 7136, 18837, 6136, 19, 332, 1259, 10502, 15474, 26904, 275, 6728, 302, 23930, 1283, 5698, 28303, 329, 3566, 22730, 292, 7136, 18837, 19, 204, 18, 41016, 28279, 6761, 322, 2157, 659, 273, 15964, 39230, 329, 12750, 17077, 2548, 496, 5994, 630, 275, 5698, 10692, 1870, 311, 2931, 275, 542, 302, 11975, 447, 18411, 10311, 2459, 1415, 6728, 311, 3420, 18, 2873, 28303, 329, 22730, 19, 204, 18, 10959, 15268, 302, 275, 5439, 19, 204, 37657, 4240, 17, 3793, 17, 23641, 17, 329, 13862, 16987, 348, 1259, 5798, 4643, 22417, 19, 204, 18, 480, 328, 4732, 15847, 19, 204, 673, 15363, 6759, 4338, 21212, 523, 26753, 2384, 1978, 630, 5698, 28303, 17, 1924, 3793, 329, 2548, 4383, 292, 2327, 9055, 21832, 31, 3073, 311, 1722, 21782, 17, 1978, 292, 1722, 21782, 17, 329, 275, 11658, 21616, 560, 6986, 19950, 19, 204, 18, 2621, 3641, 311, 12661, 9389, 19, 204, 2021, 32212, 302, 30268, 17, 12488, 17, 329, 904, 10684, 18, 329, 1259, 18, 2201, 13033, 19, 334, 2364, 7575, 88, 3793, 329, 37500, 885, 675, 1483, 14814, 523, 17080, 10692, 17502, 17, 3073, 17, 329, 1978, 348, 1683, 18, 14917, 12257, 19, 0, 531, 5920, 532, 7664, 204, 531, 2821, 532, 8736, 204, 204, 461, 949, 68, 13328, 1320, 13, 768, 68, 1031, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 542, 302, 3942, 311, 9007, 273, 758, 302, 2828, 440, 19312, 19, 204, 204, 264, 457, 31, 204, 264, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 1174, 275, 2828, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 542, 302, 3942, 311, 9007, 275, 2828, 19, 204, 264, 320, 204, 264, 314, 968, 275, 10814, 700, 311, 4516, 20502, 204, 264, 10814, 68, 876, 31, 421, 289, 421, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13, 22, 74, 30, 14, 465, 1168, 204, 204, 264, 314, 3398, 275, 3133, 302, 848, 1943, 292, 275, 537, 782, 204, 264, 1943, 68, 3115, 31, 7664, 289, 7664, 13, 768, 68, 1031, 14, 204, 204, 264, 314, 888, 275, 1113, 542, 302, 2828, 204, 264, 1113, 68, 2856, 31, 421, 289, 1066, 13, 6391, 68, 3115, 19, 1309, 1447, 204, 204, 264, 314, 977, 275, 722, 1554, 440, 275, 8736, 302, 275, 1113, 542, 302, 2828, 204, 264, 722, 31, 421, 289, 8736, 13, 2609, 68, 2856, 14, 204, 204, 264, 314, 10164, 275, 722, 560, 275, 1351, 302, 275, 18328, 302, 275, 19312, 4442, 302, 848, 726, 204, 264, 348, 1040, 292, 1943, 68, 3115, 19, 1309, 1293, 204, 268, 314, 10164, 275, 722, 560, 275, 8736, 302, 275, 790, 1943, 1040, 204, 268, 722, 25885, 8736, 13, 765, 14, 204, 204, 264, 314, 3291, 275, 10814, 2661, 311, 4516, 20502, 204, 264, 722, 34060, 10814, 68, 876, 204, 204, 264, 407, 722, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 537, 497, 275, 575, 204, 264, 771, 68, 4599, 31, 421, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 683, 2910, 31, 4091, 204, 615, 264, 348, 906, 292, 933, 13, 920, 68, 4599, 330, 204, 268, 314, 763, 275, 537, 782, 497, 275, 575, 204, 268, 537, 68, 1031, 31, 394, 289, 537, 499, 2101, 275, 537, 782, 31, 2810, 204, 204, 268, 314, 888, 329, 456, 275, 722, 204, 268, 722, 31, 421, 289, 949, 68, 13328, 1320, 13, 768, 68, 1031, 14, 204, 268, 456, 13, 75, 7, 673, 542, 302, 3942, 311, 9007, 275, 2828, 353, 31, 463, 1300, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 204, 676, 11717, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 570, 2457, 273, 575, 677, 3680, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 3610, 440, 808, 3680, 19, 204, 268, 6038, 322, 325, 330, 332, 3697, 6038, 302, 275, 575, 19, 204, 268, 1966, 68, 269, 322, 2664, 330, 334, 1489, 329, 690, 275, 3680, 867, 1966, 19, 204, 264, 320, 204, 204, 264, 575, 289, 1094, 19, 4483, 13, 204, 268, 314, 9918, 275, 3232, 570, 204, 268, 311, 34, 2491, 17, 204, 268, 314, 25921, 5996, 4032, 1330, 275, 3232, 575, 353, 8143, 204, 268, 523, 68, 2756, 34, 1618, 19, 5206, 17, 204, 268, 314, 1359, 275, 2874, 588, 348, 275, 1242, 204, 268, 2874, 68, 417, 833, 19351, 32208, 14962, 14952, 38569, 27490, 12, 204, 264, 1179, 204, 264, 6038, 289, 1094, 19, 7320, 13, 204, 268, 314, 1359, 275, 2874, 588, 348, 275, 1242, 204, 268, 2874, 68, 417, 833, 146, 245, 4374, 28622, 14723, 25229, 24437, 491, 204, 268, 314, 16104, 275, 1242, 311, 444, 4247, 204, 268, 4247, 34, 1021, 204, 264, 1179, 204, 264, 1966, 68, 269, 289, 1094, 19, 6602, 13, 204, 268, 314, 1359, 275, 6545, 68, 1520, 68, 826, 311, 959, 311, 15551, 758, 275, 1242, 311, 275, 790, 1489, 329, 690, 1330, 275, 1014, 353, 1966, 204, 268, 6545, 68, 1520, 68, 826, 34, 1021, 17, 204, 268, 314, 1359, 275, 2874, 588, 348, 275, 1242, 204, 268, 2874, 68, 417, 833, 27840, 20317, 3852, 17687, 43593, 9661, 17332, 24437, 12, 204, 264, 1179, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 455, 273, 782, 2355, 302, 275, 3680, 19, 204, 268, 320, 204, 268, 407, 283, 12, 7839, 302, 463, 327, 19, 816, 19, 2574, 2867, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 2914, 348, 275, 11717, 570, 19, 204, 268, 320, 204, 268, 314, 1359, 275, 2874, 588, 348, 275, 570, 204, 268, 2874, 68, 417, 289, 379, 19351, 5676, 3712, 25229, 4374, 27490, 12, 204, 268, 314, 1359, 275, 2874, 588, 18221, 348, 275, 570, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 19351, 5676, 3712, 25229, 4374, 29421, 12, 204, 0, 647, 10697, 448, 3347, 204, 531, 10697, 532, 14953, 204, 204, 676, 43007, 31, 204, 264, 320, 673, 667, 1472, 302, 275, 1650, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 7572, 31, 3347, 19, 7882, 14, 393, 443, 31, 204, 268, 320, 12413, 275, 2941, 1472, 1279, 204, 268, 370, 19, 8319, 289, 7572, 204, 268, 370, 19, 8319, 19, 11972, 499, 7077, 93, 7077, 431, 204, 268, 370, 19, 8319, 19, 1778, 499, 15918, 10406, 431, 204, 204, 268, 314, 666, 16062, 8982, 204, 268, 370, 19, 1510, 68, 34396, 68, 12766, 374, 204, 204, 264, 436, 838, 68, 34396, 68, 12766, 13, 327, 14, 393, 443, 31, 204, 268, 320, 5964, 16062, 8982, 1279, 204, 268, 314, 666, 1682, 1472, 2963, 204, 268, 1682, 68, 2225, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 8319, 17, 1068, 1022, 12219, 10406, 528, 1354, 34, 327, 19, 3664, 68, 2715, 68, 2225, 14, 204, 268, 1682, 68, 2225, 68, 2947, 19, 2700, 13, 937, 34, 21, 17, 1837, 34, 21, 14, 204, 204, 268, 314, 666, 12363, 2963, 204, 268, 12363, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 8319, 17, 1068, 1022, 18210, 528, 1354, 34, 327, 19, 8319, 19, 11207, 14, 204, 268, 12363, 68, 2947, 19, 2700, 13, 937, 34, 21, 17, 1837, 34, 22, 14, 204, 204, 264, 436, 1451, 68, 2715, 68, 2225, 13, 327, 14, 393, 443, 31, 204, 268, 320, 10936, 275, 1682, 1472, 1279, 204, 268, 1682, 68, 2225, 68, 2997, 289, 3347, 19, 48518, 13, 327, 19, 8319, 14, 204, 268, 17801, 6188, 13, 2715, 68, 2225, 68, 2997, 14, 204, 204, 676, 17801, 6188, 31, 204, 264, 320, 673, 1682, 1472, 302, 275, 1650, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 7572, 31, 3347, 19, 48518, 14, 393, 443, 31, 204, 268, 320, 12413, 275, 1682, 1472, 1279, 204, 268, 370, 19, 8319, 289, 7572, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 268, 370, 19, 8319, 19, 11972, 499, 4589, 93, 4589, 431, 204, 268, 370, 19, 8319, 19, 1778, 499, 12219, 10406, 431, 204, 204, 268, 314, 666, 537, 2357, 329, 8982, 204, 268, 370, 19, 1510, 68, 768, 68, 3939, 374, 204, 268, 370, 19, 1510, 68, 12766, 374, 204, 204, 264, 436, 838, 68, 768, 68, 3939, 13, 327, 14, 393, 443, 31, 204, 268, 320, 5964, 537, 2357, 1279, 204, 268, 314, 666, 542, 368, 1800, 329, 2901, 204, 268, 370, 19, 920, 22, 68, 1676, 289, 3347, 19, 6872, 13, 327, 19, 8319, 17, 1068, 1022, 2101, 273, 542, 431, 204, 268, 370, 19, 920, 22, 68, 1676, 19, 2700, 13, 937, 34, 21, 17, 1837, 34, 21, 14, 204, 268, 370, 19, 920, 22, 289, 3347, 19, 24844, 10759, 374, 204, 268, 370, 19, 920, 22, 68, 4320, 289, 3347, 19, 8872, 13, 327, 19, 8319, 17, 31907, 34, 327, 19, 920, 22, 14, 204, 268, 370, 19, 920, 22, 68, 4320, 19, 2700, 13, 937, 34, 21, 17, 1837, 34, 22, 14, 204, 204, 268, 314, 666, 542, 435, 1800, 329, 2901, 204, 268, 370, 19, 920, 23, 68, 1676, 289, 3347, 19, 6872, 13, 327, 19, 8319, 17, 1068, 1022, 2101, 273, 1350, 542, 431, 204, 268, 370, 19, 920, 23, 68, 1676, 19, 2700, 13, 937, 34, 22, 17, 1837, 34, 21, 14, 204, 268, 370, 19, 920, 23, 289, 3347, 19, 24844, 10759, 374, 204, 268, 370, 19, 920, 23, 68, 4320, 289, 3347, 19, 8872, 13, 327, 19, 8319, 17, 31907, 34, 327, 19, 920, 23, 14, 204, 268, 370, 19, 920, 23, 68, 4320, 19, 2700, 13, 937, 34, 22, 17, 1837, 34, 22, 14, 204, 204, 268, 314, 666, 722, 1800, 204, 268, 370, 19, 1300, 68, 1676, 289, 3347, 19, 6872, 13, 327, 19, 8319, 17, 1068, 15768, 204, 268, 370, 19, 1300, 68, 1676, 19, 2700, 13, 937, 34, 23, 17, 1837, 34, 22, 14, 204, 204, 264, 436, 838, 68, 12766, 13, 327, 14, 393, 443, 31, 204, 268, 320, 5964, 8982, 1279, 204, 268, 314, 666, 881, 2963, 204, 268, 881, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 8319, 17, 1068, 1022, 18112, 3237, 311, 881, 528, 1354, 34, 327, 19, 826, 68, 1630, 14, 204, 268, 881, 68, 2947, 19, 2700, 13, 937, 34, 23, 17, 1837, 34, 21, 14, 204, 204, 268, 314, 666, 1818, 2963, 204, 268, 1818, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 8319, 17, 1068, 1022, 9686, 9469, 9114, 528, 1354, 34, 327, 19, 8319, 19, 11207, 14, 204, 268, 1818, 68, 2947, 19, 2700, 13, 937, 34, 24, 17, 1837, 34, 21, 14, 204, 204, 264, 436, 881, 68, 1630, 13, 327, 14, 393, 443, 31, 204, 268, 320, 4421, 275, 970, 886, 329, 2037, 275, 722, 1279, 204, 268, 810, 31, 204, 305, 542, 22, 289, 370, 19, 920, 22, 19, 505, 374, 204, 305, 542, 23, 289, 370, 19, 920, 23, 19, 505, 374, 204, 305, 722, 289, 542, 22, 465, 542, 23, 204, 305, 370, 19, 1300, 68, 1676, 19, 1087, 13, 492, 34, 325, 13, 1300, 602, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 14953, 19, 26641, 499, 596, 528, 394, 13, 74, 602, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 673, 667, 741, 1279, 204, 264, 667, 68, 2997, 289, 3347, 19, 7882, 374, 204, 264, 2941, 68, 2225, 289, 43007, 13, 660, 68, 2997, 14, 204, 264, 667, 68, 2997, 19, 14677, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 5920, 532, 7664, 204, 647, 2821, 204, 647, 4305, 204, 531, 1498, 532, 783, 17, 1061, 204, 204, 461, 1137, 68, 481, 13, 2029, 31, 394, 14, 393, 783, 64, 1665, 744, 204, 264, 320, 204, 264, 1385, 424, 497, 437, 6057, 510, 1025, 273, 458, 302, 5239, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 588, 302, 275, 6057, 510, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1665, 744, 332, 458, 302, 5239, 17, 1273, 848, 955, 4504, 273, 1237, 292, 275, 6057, 510, 19, 204, 264, 320, 204, 264, 314, 1765, 275, 8784, 302, 808, 1763, 17, 572, 6356, 5257, 496, 275, 20413, 68, 633, 68, 8363, 741, 353, 4310, 13762, 204, 264, 314, 828, 508, 17, 872, 618, 732, 273, 4712, 2090, 3805, 311, 1151, 275, 6057, 510, 204, 264, 314, 497, 3805, 532, 1151, 68, 9671, 204, 264, 314, 407, 1151, 68, 9671, 13, 2029, 789, 633, 68, 873, 13, 20753, 833, 7485, 534, 204, 264, 1879, 226, 314, 4546, 440, 1214, 5581, 204, 204, 461, 949, 68, 9450, 13, 11687, 31, 7664, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 11985, 302, 273, 7688, 19, 204, 204, 264, 457, 31, 204, 268, 7688, 322, 15273, 330, 332, 7664, 726, 2457, 275, 7688, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 11985, 302, 275, 7688, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1113, 542, 302, 1842, 292, 275, 7688, 204, 264, 1113, 289, 1066, 13, 11687, 19, 1309, 1447, 204, 264, 397, 1113, 564, 500, 31, 204, 268, 407, 500, 19, 21, 204, 615, 264, 314, 888, 275, 11985, 974, 275, 2089, 31, 338, 1303, 13, 85, 540, 711, 23, 13, 85, 602, 204, 264, 407, 338, 1303, 13, 920, 802, 1113, 540, 2821, 19, 761, 13, 920, 802, 1113, 17, 435, 14, 348, 771, 292, 7688, 19, 1309, 374, 397, 771, 1323, 500, 14, 204, 204, 461, 949, 68, 1270, 13119, 13, 481, 31, 783, 64, 1665, 648, 1029, 68, 7605, 31, 394, 17, 3929, 31, 394, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 1483, 6061, 302, 437, 3929, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 1218, 64, 1665, 1037, 332, 458, 302, 5239, 17, 1273, 848, 955, 4504, 273, 1237, 292, 275, 424, 19, 204, 268, 1029, 68, 7605, 322, 325, 330, 334, 588, 302, 275, 1029, 3929, 19, 204, 268, 3929, 322, 325, 330, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 334, 588, 302, 275, 3929, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 1483, 6061, 302, 275, 3929, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1029, 3929, 1019, 329, 1017, 4442, 204, 264, 1029, 68, 7605, 68, 1309, 289, 551, 73, 64, 2170, 68, 7605, 66, 348, 303, 292, 424, 66, 204, 264, 7688, 289, 7664, 13, 2170, 68, 7605, 68, 1309, 14, 204, 615, 264, 314, 888, 275, 1483, 2518, 16782, 204, 264, 1483, 68, 12505, 289, 1245, 13, 481, 14, 540, 949, 68, 9450, 13, 11687, 14, 204, 204, 264, 314, 888, 275, 1113, 1483, 1877, 16782, 204, 264, 1113, 68, 15488, 289, 500, 19, 21, 204, 264, 348, 700, 292, 758, 13, 73, 64, 7605, 66, 348, 303, 292, 424, 330, 204, 268, 314, 4863, 275, 424, 1609, 523, 275, 790, 3929, 700, 204, 268, 4932, 68, 481, 289, 551, 73, 348, 303, 292, 424, 397, 303, 64, 7605, 66, 564, 700, 66, 204, 822, 268, 314, 888, 275, 7688, 329, 11985, 348, 275, 4932, 424, 204, 268, 4932, 68, 11687, 289, 7664, 13, 73, 64, 2170, 68, 7605, 66, 348, 303, 292, 4932, 68, 481, 14, 204, 268, 1113, 68, 15488, 1412, 1066, 13, 10975, 68, 11687, 19, 1309, 1447, 540, 949, 68, 9450, 13, 10975, 68, 11687, 14, 204, 615, 264, 314, 888, 275, 1483, 6061, 204, 264, 407, 1483, 68, 12505, 338, 1113, 68, 15488, 204, 204, 461, 2270, 68, 17475, 68, 3150, 13, 481, 31, 783, 64, 1665, 648, 1029, 68, 7605, 31, 394, 17, 4163, 31, 783, 64, 325, 694, 393, 1061, 31, 204, 264, 320, 204, 264, 4908, 273, 6646, 2192, 497, 275, 424, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 1218, 64, 1665, 1037, 332, 458, 302, 5239, 17, 1273, 848, 955, 4504, 273, 1237, 292, 275, 424, 19, 204, 268, 1029, 68, 7605, 322, 325, 330, 334, 588, 302, 275, 1029, 3929, 19, 204, 268, 4163, 322, 1218, 64, 325, 1037, 332, 458, 302, 3929, 1987, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 332, 955, 2457, 275, 6646, 2192, 19, 204, 264, 320, 204, 264, 314, 778, 397, 830, 1029, 3929, 1019, 529, 275, 1729, 204, 264, 1029, 68, 7605, 68, 1309, 289, 551, 73, 64, 2170, 68, 7605, 66, 348, 303, 292, 424, 66, 204, 264, 397, 1245, 13, 574, 13, 2170, 68, 7605, 68, 1309, 602, 564, 368, 31, 204, 268, 407, 1029, 68, 7605, 68, 1309, 64, 21, 66, 204, 615, 264, 314, 778, 397, 1422, 529, 1236, 1182, 4163, 311, 3404, 523, 204, 264, 397, 508, 4163, 31, 204, 268, 314, 455, 275, 1901, 2323, 1029, 3929, 700, 204, 268, 407, 7664, 13, 2170, 68, 7605, 68, 1309, 789, 4425, 68, 4608, 13, 22, 5604, 21, 1799, 21, 66, 204, 615, 264, 314, 888, 275, 1483, 6061, 348, 848, 3929, 204, 264, 4163, 68, 1270, 13119, 289, 463, 7605, 31, 949, 68, 1270, 13119, 13, 481, 17, 1029, 68, 7605, 17, 3929, 14, 348, 3929, 292, 4163, 98, 204, 615, 264, 314, 11420, 275, 3929, 440, 275, 6862, 1483, 6061, 204, 264, 2765, 68, 7605, 289, 846, 13, 7406, 68, 1270, 13119, 17, 896, 34, 7406, 68, 1270, 13119, 19, 505, 14, 204, 615, 264, 314, 3182, 275, 7540, 3929, 497, 275, 458, 302, 4163, 204, 264, 4017, 68, 7406, 289, 551, 7605, 348, 3929, 292, 4163, 397, 3929, 2167, 2765, 68, 7605, 66, 204, 615, 264, 314, 666, 273, 717, 944, 292, 275, 6646, 2192, 204, 264, 2192, 289, 2087, 204, 264, 348, 700, 292, 758, 13, 73, 64, 6222, 68, 7605, 66, 348, 303, 292, 424, 330, 204, 268, 314, 4863, 275, 424, 1609, 523, 275, 790, 3929, 700, 204, 268, 4932, 68, 481, 289, 551, 73, 348, 303, 292, 424, 397, 303, 64, 6222, 68, 7605, 66, 564, 700, 66, 204, 822, 268, 314, 8276, 2270, 275, 6646, 2192, 348, 275, 4932, 424, 204, 268, 2192, 64, 876, 66, 289, 2270, 68, 17475, 68, 3150, 13, 10975, 68, 481, 17, 1029, 68, 7605, 17, 4017, 68, 7406, 14, 204, 615, 264, 314, 455, 275, 6646, 2192, 204, 264, 407, 463, 6222, 68, 7605, 31, 2192, 98, 204, 204, 461, 6646, 68, 3150, 13, 2029, 31, 394, 17, 1029, 68, 7605, 31, 394, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 4908, 273, 6646, 2192, 497, 437, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 588, 302, 275, 6057, 510, 19, 204, 268, 1029, 68, 7605, 322, 325, 330, 334, 588, 302, 275, 1029, 3929, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 332, 955, 2457, 275, 6646, 2192, 19, 204, 264, 320, 204, 264, 424, 289, 1137, 68, 481, 13, 2029, 14, 204, 264, 4163, 289, 551, 644, 348, 896, 292, 424, 64, 21, 1664, 3261, 374, 397, 896, 2167, 1029, 68, 7605, 66, 204, 264, 407, 2270, 68, 17475, 68, 3150, 13, 481, 17, 1029, 68, 7605, 17, 4163, 14, 204, 204, 676, 1295, 22197, 4833, 13, 8102, 19, 5418, 330, 204, 264, 436, 683, 68, 3446, 68, 9450, 13, 327, 330, 204, 268, 7688, 289, 7664, 6758, 38, 597, 720, 17, 379, 39, 597, 1233, 1937, 204, 268, 370, 19, 26948, 13, 3446, 68, 9450, 13, 11687, 659, 500, 19, 30, 2169, 40166, 4957, 7745, 46205, 45475, 14, 204, 204, 264, 436, 683, 68, 3446, 68, 1270, 13119, 13, 327, 330, 204, 268, 424, 289, 21919, 38, 597, 379, 22, 491, 379, 39, 597, 379, 70, 7984, 2552, 38, 597, 379, 22, 491, 379, 39, 597, 379, 71, 7984, 2552, 38, 597, 379, 23, 491, 379, 39, 597, 379, 71, 6241, 66, 204, 268, 370, 19, 26948, 13, 3446, 68, 1270, 13119, 13, 481, 17, 379, 38, 491, 379, 39, 2008, 500, 19, 30, 2132, 4734, 8667, 35689, 8258, 4553, 5007, 14, 204, 204, 264, 436, 683, 68, 3751, 68, 17475, 68, 3150, 13, 327, 330, 204, 268, 424, 289, 21919, 38, 597, 379, 22, 491, 379, 39, 597, 379, 70, 7984, 2552, 38, 597, 379, 22, 491, 379, 39, 597, 379, 71, 7984, 2552, 38, 597, 379, 23, 491, 379, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 39, 597, 379, 71, 6241, 66, 204, 268, 2192, 289, 2270, 68, 17475, 68, 3150, 13, 481, 17, 379, 38, 491, 2470, 39, 2378, 204, 268, 370, 19, 2978, 13, 3150, 17, 2552, 39, 597, 2552, 70, 597, 379, 22, 491, 379, 71, 597, 379, 22, 6241, 1937, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 4305, 19, 660, 374, 204, 0, 658, 334, 14373, 608, 302, 275, 3839, 9625, 204, 204, 673, 14248, 302, 273, 6220, 1330, 572, 1879, 311, 1163, 3415, 2397, 618, 444, 1193, 974, 275, 2631, 3214, 31, 204, 204, 3661, 677, 2506, 273, 3542, 6220, 686, 57, 31, 59, 65, 13234, 628, 9, 329, 3864, 273, 7032, 1743, 1735, 65, 3164, 81, 1039, 296, 65, 16968, 65, 1633, 65, 7449, 78, 34, 22, 8611, 83, 9, 311, 636, 275, 1525, 204, 204, 4292, 5799, 265, 68, 78, 67, 79, 6958, 20241, 781, 65, 87, 1039, 313, 65, 81, 1039, 296, 65, 16968, 9, 204, 204, 673, 2089, 348, 275, 14248, 10428, 204, 204, 4292, 5799, 65, 14779, 13, 57, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 433, 68, 80, 8814, 1460, 13, 80, 4150, 6958, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 9, 204, 204, 673, 14248, 302, 275, 3415, 2397, 353, 204, 204, 4292, 5799, 65, 14779, 13, 57, 24778, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 24778, 65, 81, 1039, 724, 65, 16968, 6958, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 724, 65, 87, 1039, 313, 65, 81, 1039, 65, 1460, 13, 80, 6239, 16968, 9, 204, 204, 3609, 38347, 275, 6177, 17, 572, 636, 204, 204, 4292, 5799, 65, 14779, 13, 57, 24778, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 5373, 22, 7293, 80, 6239, 87, 1039, 313, 65, 81, 1039, 65, 1460, 3453, 1460, 5373, 22, 7293, 80, 602, 65, 16968, 6958, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 5373, 22, 7293, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 9, 204, 204, 4592, 1743, 1460, 9, 10207, 1048, 275, 12713, 1627, 686, 56, 68, 83, 2543, 754, 1583, 1163, 6276, 1743, 1460, 5373, 22, 4742, 4087, 572, 304, 1676, 311, 1020, 204, 204, 4292, 5799, 65, 14779, 13, 57, 24778, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 9, 204, 204, 1834, 353, 275, 1729, 448, 275, 2089, 348, 275, 14248, 302, 686, 57, 9, 5398, 19, 6263, 17, 1330, 572, 3074, 275, 17478, 302, 273, 1525, 17, 572, 4006, 2964, 2652, 1163, 14248, 19, 204, 204, 3070, 3700, 7086, 1351, 5685, 17, 1273, 3415, 2397, 88, 18225, 311, 20956, 1102, 4973, 17, 572, 874, 204, 204, 4292, 5799, 65, 14779, 13, 57, 24778, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 17546, 3164, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 18462, 17546, 3164, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 18462, 17546, 3164, 14779, 13, 57, 18016, 204, 204, 673, 14248, 302, 275, 3415, 2397, 353, 275, 3700, 20956, 302, 275, 14248, 19, 0, 531, 3479, 36804, 19, 2005, 19, 32454, 19, 91, 23, 532, 10537, 204, 531, 3479, 36804, 19, 7082, 19, 4375, 19, 2005, 532, 1034, 448, 3923, 68, 772, 204, 204, 8, 4861, 204, 24352, 68, 8516, 289, 379, 32723, 730, 12, 204, 6930, 68, 12110, 68, 20991, 289, 379, 3664, 4173, 18, 2005, 18, 12761, 18, 2256, 12, 204, 5605, 68, 12110, 68, 20991, 289, 379, 3664, 4173, 18, 2005, 18, 16052, 18, 2256, 12, 204, 34460, 68, 12110, 68, 20991, 289, 379, 3664, 4173, 18, 2005, 18, 2256, 12, 204, 6217, 35208, 68, 12110, 68, 40783, 289, 500, 19, 22, 204, 204, 676, 1295, 30064, 11596, 13, 2005, 68, 772, 19, 3295, 10254, 2346, 330, 204, 264, 320, 204, 264, 5458, 348, 7203, 2256, 6886, 19, 204, 204, 264, 1058, 850, 3192, 4394, 348, 1792, 7203, 2256, 13761, 17, 2864, 31, 204, 264, 338, 595, 7600, 4376, 2585, 204, 264, 338, 4222, 1713, 7203, 2256, 204, 264, 338, 2991, 1545, 440, 717, 1893, 2585, 204, 264, 338, 30247, 274, 7203, 2256, 204, 264, 338, 28537, 14494, 2585, 204, 264, 320, 204, 204, 264, 314, 12719, 3583, 292, 275, 6955, 458, 958, 204, 264, 6955, 68, 655, 68, 1935, 68, 3261, 289, 551, 204, 268, 379, 359, 491, 379, 7037, 491, 379, 1129, 68, 2256, 491, 379, 885, 68, 2256, 491, 379, 1835, 12, 204, 264, 2437, 204, 204, 264, 436, 9498, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 719, 275, 683, 1964, 19, 204, 268, 320, 204, 268, 2234, 1528, 30469, 374, 204, 204, 264, 436, 683, 68, 24453, 68, 11393, 68, 2256, 13, 327, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 273, 9263, 4376, 2585, 2584, 273, 2846, 27, 908, 19, 204, 268, 320, 204, 268, 314, 968, 275, 9263, 4376, 2585, 204, 268, 9263, 68, 11393, 68, 2256, 289, 379, 1003, 12, 204, 822, 268, 314, 2878, 273, 4559, 824, 440, 275, 9263, 4376, 2585, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 13, 204, 305, 5014, 91, 23, 491, 204, 305, 3496, 7860, 10936, 13292, 18, 4093, 18, 11223, 597, 283, 4705, 24352, 68, 8516, 98, 463, 24453, 68, 11393, 68, 2256, 2867, 1522, 204, 305, 7523, 68, 6240, 34, 1021, 17, 407, 68, 1775, 34, 1975, 204, 268, 1179, 204, 822, 268, 314, 778, 275, 958, 1714, 329, 1666, 1187, 204, 268, 370, 19, 2978, 611, 5580, 20, 1775, 491, 958, 19, 2387, 68, 932, 14, 204, 268, 370, 19, 2978, 13, 28575, 17, 958, 19, 1835, 68, 339, 14, 204, 822, 268, 314, 778, 275, 908, 943, 204, 268, 1812, 68, 718, 68, 5000, 289, 379, 1962, 700, 348, 3594, 13292, 18, 4093, 18, 11223, 3494, 12, 204, 268, 370, 19, 9672, 13, 1935, 19, 1775, 736, 718, 68, 1454, 2378, 204, 268, 370, 19, 14892, 13, 5477, 68, 718, 68, 5000, 17, 958, 19, 1775, 736, 718, 68, 1454, 2378, 204, 204, 264, 436, 683, 68, 12020, 68, 41401, 68, 17648, 2256, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 275, 1540, 7203, 2256, 353, 1376, 1330, 508, 1713, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2311, 329, 1646, 10537, 204, 268, 1006, 68, 2256, 289, 10537, 19, 885, 68, 2256, 68, 1031, 374, 204, 268, 846, 68, 2256, 289, 10537, 19, 1129, 68, 2256, 68, 1031, 374, 204, 822, 268, 314, 2878, 273, 4559, 824, 2900, 30919, 275, 7203, 2256, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 4195, 91, 23, 491, 407, 68, 1775, 34, 1975, 14, 204, 822, 268, 314, 778, 275, 958, 3496, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 6930, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 5605, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 34460, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 822, 268, 314, 778, 275, 958, 3583, 204, 268, 370, 19, 9672, 13, 668, 13, 644, 292, 958, 19, 1775, 19, 3261, 374, 348, 896, 292, 370, 19, 7294, 68, 655, 68, 1935, 68, 3261, 602, 204, 204, 264, 436, 683, 68, 1957, 68, 1723, 68, 1957, 68, 2005, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 273, 717, 1545, 440, 273, 717, 1893, 2585, 2584, 275, 1706, 3496, 19, 204, 268, 320, 204, 268, 314, 968, 275, 717, 1893, 2585, 204, 268, 717, 68, 2005, 68, 2256, 289, 379, 23, 19, 21, 12, 204, 822, 268, 314, 763, 275, 2311, 329, 1646, 10537, 204, 268, 1006, 68, 2256, 289, 10537, 19, 885, 68, 2256, 68, 1031, 374, 204, 268, 846, 68, 2256, 289, 10537, 19, 1129, 68, 2256, 68, 1031, 374, 204, 822, 268, 314, 2878, 273, 4559, 824, 440, 275, 717, 1893, 2585, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 13, 204, 305, 5014, 91, 23, 491, 204, 305, 3496, 7860, 10936, 13292, 18, 4093, 18, 11223, 597, 283, 4705, 24352, 68, 8516, 98, 463, 1957, 68, 2005, 68, 2256, 2867, 1522, 204, 305, 407, 68, 1775, 34, 1975, 204, 268, 1179, 204, 822, 268, 314, 778, 275, 958, 3496, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 6930, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 5605, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 34460, 68, 12110, 68, 20991, 648, 717, 68, 2005, 68, 2256, 14, 204, 822, 268, 314, 778, 275, 958, 3583, 204, 268, 370, 19, 9672, 13, 668, 13, 644, 292, 958, 19, 1775, 19, 3261, 374, 348, 896, 292, 370, 19, 7294, 68, 655, 68, 1935, 68, 3261, 602, 204, 204, 264, 436, 683, 68, 12142, 68, 17648, 2256, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 275, 7663, 7203, 2256, 2584, 275, 1706, 3496, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2311, 329, 1646, 10537, 204, 268, 1006, 68, 2256, 289, 10537, 19, 885, 68, 2256, 68, 1031, 374, 204, 268, 846, 68, 2256, 289, 10537, 19, 1129, 68, 2256, 68, 1031, 374, 204, 822, 268, 314, 2878, 273, 4559, 824, 440, 275, 7663, 7203, 2256, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 13, 204, 305, 5014, 91, 23, 491, 204, 305, 3496, 7860, 10936, 13292, 18, 4093, 18, 11223, 597, 283, 4705, 24352, 68, 8516, 98, 7663, 7984, 204, 305, 407, 68, 1775, 34, 1975, 204, 268, 1179, 204, 822, 268, 314, 778, 275, 958, 3496, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 6930, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 5605, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 34460, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 822, 268, 314, 778, 275, 958, 3583, 204, 268, 370, 19, 9672, 13, 668, 13, 644, 292, 958, 19, 1775, 19, 3261, 374, 348, 896, 292, 370, 19, 7294, 68, 655, 68, 1935, 68, 3261, 602, 204, 204, 264, 436, 683, 68, 350, 15288, 68, 2256, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 437, 30387, 2585, 2584, 273, 2846, 27, 908, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2311, 329, 1646, 10537, 204, 268, 1006, 68, 2256, 289, 10537, 19, 885, 68, 2256, 68, 1031, 374, 204, 268, 846, 68, 2256, 289, 10537, 19, 1129, 68, 2256, 68, 1031, 374, 204, 822, 268, 314, 968, 275, 30387, 2585, 204, 268, 30387, 68, 2256, 289, 394, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 13, 996, 13, 1129, 68, 2256, 14, 465, 548, 7596, 58, 26259, 68, 12110, 68, 40783, 14, 204, 822, 268, 314, 2878, 273, 4559, 824, 440, 275, 30387, 2585, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 13, 204, 305, 5014, 91, 23, 491, 204, 305, 3496, 7860, 10936, 13292, 18, 4093, 18, 11223, 597, 283, 4705, 24352, 68, 8516, 98, 463, 350, 15288, 68, 2256, 2867, 1522, 204, 305, 7523, 68, 6240, 34, 1021, 204, 268, 1179, 204, 822, 268, 314, 778, 275, 958, 1714, 204, 268, 370, 19, 2978, 13, 28575, 17, 958, 19, 1835, 68, 339, 14, 204, 822, 268, 314, 778, 275, 958, 3496, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 6930, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 5605, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 822, 268, 314, 778, 275, 908, 943, 204, 268, 1812, 68, 718, 68, 5000, 289, 322, 204, 305, 283, 12, 11223, 463, 350, 15288, 68, 2256, 98, 867, 13112, 1101, 275, 10908, 379, 204, 305, 379, 2256, 353, 508, 6300, 560, 808, 3158, 19, 379, 204, 305, 283, 12, 673, 6300, 2585, 933, 353, 463, 885, 68, 2256, 15135, 1129, 68, 2256, 2867, 204, 268, 1179, 204, 268, 370, 19, 9672, 13, 1935, 19, 1775, 736, 718, 68, 1454, 2378, 204, 268, 370, 19, 14892, 13, 5477, 68, 718, 68, 5000, 17, 958, 19, 1775, 736, 718, 68, 1454, 2378, 204, 0, 315, 204, 1834, 3467, 12938, 1662, 311, 838, 329, 9749, 273, 3277, 1104, 974, 11124, 19, 204, 315, 204, 204, 647, 6632, 24, 204, 531, 1498, 532, 1535, 204, 204, 461, 838, 68, 2819, 13, 1479, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 11124, 1104, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 838, 19, 204, 264, 320, 204, 264, 314, 6370, 311, 275, 11124, 1104, 19, 828, 275, 1104, 1583, 508, 1337, 17, 490, 1120, 444, 1966, 19, 204, 264, 5828, 289, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 204, 264, 3370, 289, 5828, 19, 4322, 374, 204, 204, 264, 314, 666, 273, 717, 1435, 3250, 379, 8929, 12, 440, 970, 2630, 31, 379, 1976, 68, 3366, 12, 329, 379, 2391, 68, 3366, 2625, 204, 264, 3370, 19, 4118, 22811, 204, 268, 16254, 12409, 13111, 7845, 15731, 7777, 322, 204, 305, 1276, 15833, 18432, 13190, 17, 204, 305, 790, 68, 3366, 11817, 17, 204, 305, 1673, 68, 3366, 11817, 204, 268, 1179, 204, 264, 30549, 204, 204, 264, 314, 8588, 275, 3731, 329, 3671, 275, 1727, 19, 204, 264, 5828, 19, 4827, 374, 204, 264, 5828, 19, 3529, 374, 204, 204, 461, 9749, 68, 1867, 13, 1479, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 37377, 275, 379, 8929, 12, 1435, 560, 5209, 273, 1540, 700, 302, 443, 329, 273, 1646, 1277, 302, 5074, 2724, 311, 275, 379, 1976, 68, 3366, 12, 329, 379, 2391, 68, 3366, 12, 2357, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 9749, 19, 204, 264, 320, 204, 264, 314, 6370, 311, 275, 11124, 1104, 19, 204, 264, 5828, 289, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 204, 264, 3370, 289, 5828, 19, 4322, 374, 204, 204, 264, 314, 20066, 275, 379, 1976, 68, 3366, 12, 1242, 311, 874, 273, 1540, 700, 302, 443, 329, 273, 1646, 1277, 302, 5074, 2724, 19, 204, 264, 314, 9076, 31, 11124, 1583, 508, 2886, 42087, 275, 1277, 302, 273, 1837, 17, 754, 572, 1120, 838, 273, 717, 1435, 440, 275, 5846, 1837, 329, 1675, 4066, 275, 3299, 1435, 19, 204, 264, 3370, 19, 4118, 22811, 204, 268, 16254, 12409, 7777, 68, 1957, 322, 204, 305, 1276, 15833, 18432, 13190, 17, 204, 305, 790, 68, 3366, 11817, 8719, 12057, 43685, 13, 8327, 13, 1976, 68, 3366, 14, 2186, 5074, 659, 204, 305, 1673, 68, 3366, 11817, 8719, 12057, 43685, 13, 8327, 13, 2391, 68, 3366, 14, 2186, 5074, 14, 204, 268, 1179, 204, 264, 30549, 204, 204, 264, 314, 10235, 275, 424, 497, 275, 3299, 1435, 311, 275, 717, 1435, 19, 204, 264, 3370, 19, 4118, 611, 7097, 540, 7281, 7777, 534, 204, 264, 3015, 289, 3370, 19, 13208, 374, 204, 264, 348, 1237, 292, 3015, 31, 204, 268, 3370, 19, 4118, 611, 14483, 12377, 7777, 68, 1957, 322, 359, 17, 790, 68, 3366, 17, 1673, 68, 3366, 14, 12804, 22709, 13173, 5478, 11938, 1237, 14, 204, 204, 264, 314, 9738, 275, 3299, 1435, 329, 15549, 275, 717, 1435, 311, 275, 3299, 1435, 677, 588, 19, 204, 264, 3370, 19, 4118, 611, 33708, 12409, 7777, 534, 204, 264, 3370, 19, 4118, 611, 1889, 4524, 12409, 7777, 68, 1957, 361, 1888, 11023, 8450, 7777, 534, 204, 204, 264, 314, 8588, 275, 3731, 329, 3671, 275, 1727, 19, 204, 264, 5828, 19, 4827, 374, 204, 264, 5828, 19, 3529, 374, 204, 204, 461, 4482, 68, 481, 13, 1479, 68, 417, 31, 394, 17, 790, 68, 3366, 31, 1535, 64, 325, 648, 1673, 68, 3366, 31, 1535, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 17327, 424, 1025, 275, 379, 8929, 12, 1435, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 4482, 424, 1025, 19, 204, 268, 790, 68, 3366, 322, 4437, 64, 325, 1037, 334, 790, 2852, 19, 204, 268, 1673, 68, 3366, 322, 4437, 64, 325, 1037, 334, 1673, 2852, 19, 204, 264, 320, 204, 264, 314, 6370, 311, 275, 11124, 1104, 19, 204, 264, 5828, 289, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 204, 264, 3370, 289, 5828, 19, 4322, 374, 204, 204, 264, 314, 6461, 424, 1025, 275, 379, 8929, 12, 1435, 19, 204, 264, 3370, 19, 4118, 611, 14483, 12377, 7777, 322, 1976, 68, 3366, 17, 1673, 68, 3366, 14, 12804, 22709, 5478, 11938, 322, 1976, 68, 3366, 17, 1673, 68, 3366, 602, 204, 204, 264, 314, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 8588, 275, 3731, 329, 3671, 275, 1727, 19, 204, 264, 5828, 19, 4827, 374, 204, 264, 5828, 19, 3529, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 1863, 68, 417, 289, 379, 8929, 19, 1479, 12, 204, 264, 838, 68, 2819, 13, 1479, 68, 417, 14, 204, 264, 9749, 68, 1867, 13, 1479, 68, 417, 14, 204, 264, 4482, 68, 481, 13, 1479, 68, 417, 17, 379, 6001, 6751, 491, 379, 31919, 21880, 534, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 837, 36918, 17, 273, 2905, 1324, 3299, 30859, 493, 266, 322, 285, 2365, 13477, 364, 14, 46908, 273, 11118, 1025, 273, 22588, 292, 1552, 311, 401, 1474, 685, 1051, 302, 1704, 41153, 19, 4168, 566, 9453, 6204, 17, 566, 1193, 709, 366, 1320, 19, 334, 20428, 1020, 4489, 23980, 43126, 19, 2695, 1118, 23084, 874, 14814, 523, 970, 4549, 31, 275, 1301, 328, 3084, 5698, 329, 275, 14044, 45426, 19, 8278, 529, 1017, 896, 12074, 19, 334, 20289, 3762, 301, 16711, 867, 19882, 19, 20462, 275, 42776, 529, 42853, 1841, 3329, 17, 273, 24647, 17, 273, 45727, 4308, 17, 3245, 1008, 884, 24307, 17, 273, 14142, 17, 17286, 88, 17, 437, 16437, 336, 2691, 329, 7496, 279, 2003, 853, 2090, 808, 1051, 19, 33943, 10846, 1429, 302, 1605, 1466, 5082, 560, 275, 27456, 19, 332, 3403, 41810, 440, 1048, 1051, 13690, 47631, 867, 1425, 10921, 19, 2416, 1489, 17, 1048, 2031, 45426, 874, 1742, 26287, 756, 19, 334, 22021, 1947, 274, 1051, 867, 5544, 6172, 5501, 19, 2846, 45426, 4489, 1429, 24703, 19, 332, 26577, 874, 7758, 10501, 368, 17, 1207, 39515, 19, 9496, 302, 1605, 31384, 709, 366, 1320, 1466, 39875, 6204, 302, 3245, 14540, 19, 334, 17294, 6973, 1466, 5052, 3332, 2031, 10355, 19, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 3596, 575, 537, 497, 275, 6474, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 407, 537, 13, 4202, 14, 204, 204, 461, 2252, 68, 579, 68, 2820, 13, 579, 68, 2820, 31, 394, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 9246, 437, 3877, 1995, 1025, 1163, 3420, 3576, 19, 204, 204, 264, 457, 31, 204, 268, 6344, 68, 2820, 322, 325, 330, 334, 3877, 1995, 311, 2252, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 334, 3420, 3576, 302, 275, 3877, 1995, 448, 1892, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 3877, 1995, 1025, 1163, 3420, 3576, 204, 264, 6344, 68, 6719, 289, 6344, 68, 2820, 19, 1590, 16039, 204, 204, 264, 314, 3866, 329, 1814, 848, 1085, 311, 437, 1534, 204, 264, 810, 31, 204, 268, 6344, 68, 6719, 289, 551, 339, 13, 1819, 14, 348, 1085, 292, 6344, 68, 6719, 66, 204, 264, 827, 987, 31, 204, 268, 980, 987, 499, 1962, 3877, 1995, 19, 7616, 1085, 1631, 444, 273, 542, 1280, 204, 204, 264, 407, 6344, 68, 6719, 204, 204, 461, 3822, 68, 579, 68, 676, 13, 2922, 68, 48462, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 20783, 275, 3877, 850, 1609, 523, 275, 1043, 14147, 310, 19, 204, 204, 264, 457, 31, 204, 268, 1043, 68, 48462, 322, 339, 330, 334, 1043, 14147, 310, 302, 275, 3877, 1995, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 3877, 850, 322, 38, 17, 565, 17, 346, 17, 521, 9508, 789, 204, 264, 320, 204, 264, 314, 4347, 275, 3877, 850, 1609, 523, 275, 1043, 14147, 310, 204, 264, 397, 1043, 68, 48462, 2186, 20571, 31, 204, 268, 407, 379, 3317, 332, 12, 204, 264, 1677, 1043, 68, 48462, 2186, 48800, 31, 204, 268, 407, 379, 3317, 565, 12, 204, 264, 1677, 1043, 68, 48462, 2186, 47762, 31, 204, 268, 407, 379, 3317, 346, 12, 204, 264, 902, 31, 204, 268, 407, 379, 1962, 3877, 1995, 12, 204, 204, 461, 3893, 68, 579, 68, 2820, 13, 579, 68, 2820, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 11149, 437, 3877, 1995, 19, 204, 204, 264, 457, 31, 204, 268, 6344, 68, 2820, 322, 325, 330, 334, 3877, 1995, 311, 3893, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 3877, 1995, 353, 1097, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 2735, 275, 3877, 1995, 1025, 1163, 3420, 3576, 204, 264, 6344, 68, 6719, 289, 6344, 68, 2820, 19, 1590, 16039, 204, 204, 264, 314, 778, 397, 275, 3877, 1995, 869, 3420, 3576, 204, 264, 397, 1245, 13, 579, 68, 6719, 14, 2167, 681, 31, 204, 268, 407, 1078, 204, 204, 264, 314, 778, 397, 848, 1085, 353, 273, 542, 1283, 500, 329, 4580, 204, 264, 348, 1085, 292, 6344, 68, 6719, 31, 204, 268, 810, 31, 204, 305, 771, 289, 421, 13, 1819, 14, 204, 305, 397, 771, 962, 500, 521, 771, 1323, 4580, 31, 204, 485, 407, 1078, 204, 268, 827, 987, 31, 204, 305, 407, 1078, 204, 204, 264, 407, 959, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2548, 3546, 19, 204, 264, 320, 204, 264, 456, 499, 1834, 2548, 1120, 6721, 872, 275, 850, 302, 1214, 3877, 65, 83, 65, 83, 431, 204, 204, 264, 1335, 959, 31, 204, 268, 314, 763, 275, 3877, 1995, 497, 275, 575, 204, 268, 6344, 68, 2820, 289, 636, 68, 816, 68, 768, 611, 2101, 437, 3877, 1995, 31, 6947, 204, 204, 268, 314, 3866, 275, 3877, 1995, 204, 268, 397, 508, 3893, 68, 579, 68, 2820, 13, 579, 68, 2820, 330, 204, 305, 456, 611, 1962, 3877, 1995, 19, 2982, 810, 2528, 5901, 204, 305, 3524, 204, 204, 268, 314, 2735, 275, 3877, 1995, 1025, 1163, 3420, 3576, 204, 268, 6344, 68, 6719, 289, 2252, 68, 579, 68, 2820, 13, 579, 68, 2820, 14, 204, 204, 268, 314, 4347, 275, 3877, 850, 204, 268, 6344, 68, 676, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 289, 3822, 68, 579, 68, 676, 13, 579, 68, 6719, 64, 21, 694, 204, 204, 268, 314, 1198, 275, 722, 204, 268, 397, 6344, 68, 676, 564, 379, 1962, 3877, 1995, 597, 204, 305, 456, 611, 41436, 9453, 9263, 2152, 13, 7941, 3877, 6911, 440, 273, 542, 3114, 1194, 47762, 11953, 204, 268, 902, 31, 204, 305, 456, 13, 75, 4705, 579, 68, 2820, 98, 353, 463, 579, 68, 676, 3501, 204, 204, 268, 314, 8716, 275, 575, 397, 1250, 3480, 311, 2064, 3161, 3877, 1995, 204, 268, 958, 289, 636, 68, 816, 68, 768, 611, 35407, 872, 2090, 311, 2064, 3161, 3877, 1995, 36, 13, 94, 20, 83, 14, 6947, 204, 268, 397, 958, 19, 3006, 374, 2167, 379, 94, 597, 204, 305, 2280, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 5683, 204, 531, 11063, 47779, 532, 11063, 47779, 204, 531, 11063, 47779, 19, 38857, 19, 32552, 532, 322, 204, 264, 20754, 17, 204, 264, 30085, 22591, 8177, 88, 17, 204, 264, 30085, 7822, 39852, 17, 204, 264, 48027, 286, 22591, 5619, 17, 204, 264, 42209, 371, 340, 42, 11321, 316, 17, 204, 264, 33274, 204, 14, 204, 531, 11063, 47779, 19, 38857, 19, 5346, 88, 532, 322, 204, 264, 10442, 1717, 5346, 17, 204, 264, 36610, 8177, 22763, 17, 204, 264, 35059, 17, 204, 264, 36610, 8177, 2191, 17, 204, 264, 36610, 8177, 11223, 204, 14, 204, 204, 37, 6598, 19, 2472, 19, 12349, 611, 21841, 353, 1236, 6397, 273, 6300, 2086, 348, 275, 10470, 4748, 534, 204, 37, 6598, 19, 2472, 19, 16402, 499, 5273, 528, 551, 22, 17, 14692, 7326, 17, 38372, 23, 17, 681, 694, 204, 461, 683, 68, 6267, 68, 13411, 68, 271, 68, 747, 68, 20778, 6047, 13, 5273, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 10470, 20754, 2086, 4238, 3537, 5107, 19, 204, 204, 264, 1058, 683, 1322, 11208, 275, 10470, 20754, 2086, 329, 1163, 12186, 440, 3537, 5107, 19, 204, 264, 1547, 4394, 275, 12146, 6657, 5194, 329, 12146, 2364, 6171, 5107, 19, 204, 264, 320, 204, 264, 314, 666, 11063, 47779, 1964, 204, 264, 3479, 36804, 289, 11063, 47779, 13, 546, 833, 546, 20, 633, 20, 18400, 19, 9648, 491, 2291, 833, 4098, 534, 204, 264, 3479, 36804, 19, 574, 68, 5273, 13, 5273, 14, 204, 204, 264, 314, 763, 10470, 2067, 1222, 204, 264, 5631, 68, 2488, 289, 3479, 36804, 19, 505, 68, 11483, 611, 23112, 30662, 7146, 2581, 4976, 56, 42134, 6970, 21, 6690, 1701, 839, 204, 204, 264, 436, 2811, 68, 6267, 68, 13411, 13, 5477, 68, 1300, 31, 1135, 17, 5877, 31, 818, 289, 500, 19, 21, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3055, 10470, 20754, 2086, 329, 1356, 6605, 19, 204, 204, 268, 457, 31, 204, 305, 1812, 68, 1300, 322, 873, 330, 334, 1812, 6605, 722, 19, 204, 305, 5877, 322, 996, 17, 1448, 330, 334, 1812, 5877, 19, 1243, 311, 500, 19, 21, 19, 204, 268, 320, 204, 268, 314, 3055, 10470, 20754, 2086, 204, 268, 5631, 68, 1744, 289, 20754, 13, 2488, 34, 6267, 68, 2488, 17, 4748, 833, 23112, 534, 204, 268, 1563, 289, 3479, 36804, 19, 2290, 611, 23112, 491, 5631, 68, 1744, 14, 204, 822, 268, 314, 778, 275, 1563, 204, 268, 2136, 508, 1563, 19, 11039, 204, 268, 2136, 1563, 19, 8901, 564, 5877, 204, 268, 2136, 1563, 19, 11483, 564, 1812, 68, 1300, 204, 204, 264, 314, 1295, 12146, 6657, 5194, 204, 264, 2086, 68, 2816, 289, 3479, 36804, 19, 505, 68, 1744, 68, 2816, 611, 7183, 534, 204, 264, 2067, 289, 458, 13, 1744, 68, 2816, 736, 2488, 3750, 3261, 26041, 21, 66, 204, 264, 348, 20334, 292, 2086, 68, 2816, 1166, 26835, 8682, 204, 268, 314, 41360, 25856, 8417, 1236, 24703, 348, 8407, 22, 71, 204, 268, 1812, 68, 11483, 289, 2552, 5937, 597, 10442, 1717, 5346, 19, 40999, 98, 204, 268, 2086, 289, 30085, 22591, 8177, 88, 13, 26835, 34, 26835, 17, 4748, 833, 7183, 491, 2067, 34, 2488, 14, 204, 268, 3479, 36804, 19, 2290, 13, 1744, 34, 1744, 17, 4748, 833, 7183, 534, 204, 268, 2811, 68, 6267, 68, 13411, 13, 5477, 68, 11483, 14, 204, 204, 264, 314, 1295, 12146, 2364, 6171, 204, 264, 8426, 289, 551, 78, 348, 296, 292, 2086, 68, 2816, 1166, 579, 68, 2820, 17868, 204, 264, 26863, 68, 2820, 289, 3479, 36804, 19, 5719, 68, 7294, 19, 12797, 68, 579, 68, 1608, 736, 2491, 21, 839, 204, 264, 348, 1995, 292, 8426, 31, 204, 268, 314, 3168, 322, 5243, 302, 275, 683, 2910, 14, 204, 204, 461, 683, 68, 37400, 68, 10296, 68, 25255, 13, 5273, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 12146, 6657, 5194, 19, 204, 204, 264, 1058, 683, 1322, 11208, 275, 12146, 6657, 5194, 2086, 19, 204, 264, 320, 204, 264, 314, 3168, 322, 804, 1322, 5581, 14, 204, 204, 461, 683, 68, 37400, 68, 4165, 68, 12533, 13, 5273, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 12146, 2364, 6171, 19, 204, 204, 264, 1058, 683, 1322, 11208, 275, 12146, 2364, 6171, 2086, 19, 204, 264, 320, 204, 264, 314, 3168, 322, 804, 1322, 5581, 14, 204, 204, 8, 3168, 322, 2123, 683, 2910, 14, 204, 0, 38002, 3590, 20662, 12923, 10166, 408, 36504, 9632, 2336, 20662, 2114, 6899, 16354, 19982, 12980, 15937, 460, 5351, 30677, 7363, 16921, 5351, 12816, 408, 18980, 9632, 21196, 28258, 408, 38965, 10166, 20662, 12923, 8728, 2780, 27482, 12603, 6462, 4517, 408, 13225, 9632, 19982, 12980, 15937, 22204, 568, 204, 22, 19, 921, 10166, 20662, 12923, 12665, 1345, 10717, 20662, 12923, 29677, 9862, 20382, 408, 20319, 4417, 235, 4304, 36259, 408, 1002, 6899, 7363, 942, 36068, 725, 32715, 568, 10717, 3964, 6658, 9238, 19533, 10717, 20662, 12923, 460, 20496, 9862, 12239, 4296, 5351, 30677, 460, 20496, 568, 204, 23, 19, 921, 10166, 4417, 235, 4138, 12923, 36259, 1398, 408, 14407, 30677, 25945, 1227, 3227, 15887, 16902, 460, 7594, 2371, 408, 1345, 46100, 13956, 1579, 1909, 1524, 2188, 17096, 13956, 7217, 408, 6663, 6899, 12522, 921, 10166, 8728, 1603, 4417, 235, 4138, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12923, 460, 4417, 235, 2371, 10150, 36068, 568, 204, 24, 19, 921, 10166, 4417, 235, 4138, 12923, 28561, 408, 4945, 1345, 11035, 11563, 17411, 23263, 8085, 17071, 15011, 12054, 12808, 408, 12067, 1345, 11035, 36259, 8706, 1390, 3293, 15727, 8706, 25945, 36, 3058, 11156, 252, 1175, 118, 2492, 260, 52, 2698, 28561, 408, 3675, 17071, 15011, 5958, 11563, 17411, 23263, 460, 37465, 2807, 4417, 235, 4138, 12923, 460, 2386, 13501, 2382, 568, 4945, 1345, 11035, 17071, 15011, 12054, 5958, 14337, 4304, 8728, 408, 16192, 3865, 11035, 13491, 460, 2386, 13501, 2807, 4417, 235, 4138, 12923, 29360, 13501, 6650, 568, 204, 26, 19, 8285, 11219, 38576, 20363, 46941, 408, 921, 10166, 28561, 408, 4417, 235, 4138, 12923, 1227, 3589, 2739, 25883, 11515, 31616, 29110, 15212, 568, 204, 27, 19, 921, 10166, 1398, 408, 22426, 11153, 47520, 2148, 1811, 1251, 408, 12522, 9777, 2114, 8383, 25656, 568, 4945, 10166, 460, 38098, 40223, 26900, 12808, 408, 2657, 5227, 4417, 235, 4138, 12923, 33197, 1524, 2682, 17145, 13620, 22483, 5351, 1191, 20706, 408, 6878, 1002, 6899, 40562, 4417, 235, 4138, 13956, 22204, 11338, 568, 204, 28, 19, 4945, 18896, 11436, 29228, 1036, 3738, 70, 1398, 408, 11746, 1345, 21574, 4417, 235, 4138, 12923, 18118, 408, 19533, 19092, 24285, 12923, 408, 30845, 4417, 235, 4138, 12923, 3944, 24228, 1670, 568, 24285, 12923, 854, 3589, 921, 4417, 235, 4138, 12923, 460, 5062, 2371, 831, 21199, 408, 2891, 9768, 4417, 235, 4138, 12923, 7409, 30677, 25945, 21904, 3589, 2739, 8728, 408, 8285, 12522, 24285, 12923, 460, 27727, 6522, 4304, 3944, 6522, 5548, 408, 921, 33036, 23263, 13907, 9238, 408, 1345, 3865, 29110, 15212, 5227, 27727, 6522, 4304, 15865, 3190, 19017, 2174, 4762, 3589, 41048, 568, 204, 48804, 408, 14787, 11698, 19982, 12980, 15937, 5351, 30677, 460, 20662, 12923, 5659, 3590, 10166, 408, 6663, 9555, 1456, 9632, 2336, 20662, 2114, 408, 5718, 25066, 11219, 5259, 26327, 408, 9632, 3865, 12215, 1227, 28258, 568, 204, 0, 647, 2821, 204, 204, 461, 1900, 68, 15041, 13, 920, 68, 3337, 31, 421, 17, 1112, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 6071, 273, 9266, 302, 886, 497, 368, 311, 771, 68, 3337, 1609, 523, 275, 800, 1112, 19, 204, 204, 264, 334, 1112, 353, 500, 18, 6070, 329, 4504, 275, 9266, 292, 29430, 11209, 1552, 19, 204, 264, 1765, 1763, 17, 348, 771, 68, 3337, 289, 571, 17, 275, 9214, 529, 31, 204, 264, 338, 1112, 500, 31, 388, 4326, 7, 204, 264, 338, 1112, 368, 31, 388, 25248, 7, 204, 264, 338, 1112, 435, 31, 388, 40670, 7, 204, 264, 338, 1112, 571, 31, 388, 41634, 7, 204, 264, 338, 1112, 681, 31, 388, 45689, 7, 204, 264, 338, 1112, 720, 31, 388, 29151, 7, 204, 204, 264, 457, 31, 204, 268, 771, 68, 3337, 322, 339, 330, 334, 542, 302, 1842, 292, 275, 9266, 19, 204, 268, 1112, 322, 339, 330, 334, 1112, 302, 275, 9266, 311, 1900, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4489, 9266, 448, 273, 782, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 1112, 353, 685, 302, 933, 19, 204, 264, 320, 204, 264, 314, 778, 397, 1112, 353, 2614, 1097, 933, 204, 264, 397, 1112, 962, 500, 521, 1112, 3721, 2821, 19, 14516, 13, 920, 68, 3337, 330, 204, 268, 980, 987, 499, 7555, 685, 302, 933, 431, 204, 204, 264, 314, 666, 273, 458, 302, 2755, 886, 204, 264, 2755, 68, 1630, 289, 458, 13, 2307, 13, 22, 17, 771, 68, 3337, 465, 368, 602, 204, 204, 264, 314, 977, 275, 722, 204, 264, 722, 289, 1306, 204, 204, 264, 314, 888, 275, 9266, 204, 264, 348, 296, 292, 933, 13, 920, 68, 3337, 17, 500, 17, 338, 22, 330, 204, 268, 314, 888, 275, 8736, 302, 275, 4017, 886, 204, 268, 8736, 289, 2821, 19, 14516, 13, 78, 338, 368, 14, 204, 204, 268, 314, 888, 275, 1112, 302, 275, 790, 542, 204, 268, 790, 68, 998, 289, 1112, 3166, 8736, 204, 204, 268, 314, 5230, 275, 790, 542, 311, 275, 722, 204, 268, 722, 19, 1223, 13, 325, 13, 6772, 68, 1630, 64, 1976, 68, 998, 4513, 204, 204, 268, 314, 3182, 275, 790, 542, 497, 275, 2755, 886, 204, 268, 2755, 68, 1630, 19, 3377, 13, 1976, 68, 998, 14, 204, 204, 268, 314, 1716, 275, 1112, 204, 268, 1112, 34060, 8736, 204, 204, 264, 314, 9828, 275, 722, 1025, 273, 782, 204, 264, 407, 13080, 1541, 13, 1300, 14, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 542, 302, 1842, 329, 1112, 497, 275, 575, 204, 264, 771, 68, 3337, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 1842, 31, 4091, 204, 264, 1112, 289, 421, 13, 768, 499, 2101, 275, 1112, 31, 4091, 204, 204, 264, 810, 31, 204, 268, 314, 2069, 275, 9266, 204, 268, 722, 289, 1900, 68, 15041, 13, 920, 68, 3337, 17, 1112, 14, 204, 204, 268, 314, 1198, 275, 722, 204, 268, 456, 499, 6114, 18659, 2180, 722, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 499, 596, 2180, 318, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 1844, 440, 275, 790, 1216, 302, 12721, 8159, 2907, 353, 496, 490, 27058, 275, 13885, 2634, 19822, 351, 2298, 19, 1058, 19822, 351, 2298, 3459, 1330, 1051, 2586, 5792, 275, 2634, 302, 273, 8159, 800, 1429, 424, 440, 275, 2634, 302, 275, 424, 800, 275, 8159, 19, 204, 204, 1449, 17886, 808, 17, 2506, 273, 7155, 683, 348, 273, 4614, 19, 334, 2634, 302, 5701, 275, 4614, 800, 273, 2140, 683, 722, 353, 508, 275, 1729, 448, 275, 2634, 302, 273, 2140, 683, 722, 800, 496, 1051, 869, 275, 4614, 19, 3355, 17, 808, 353, 6488, 2075, 353, 3870, 292, 12721, 8159, 2907, 17, 1273, 275, 2634, 302, 275, 424, 800, 275, 3749, 8159, 322, 85, 18, 876, 14, 353, 1376, 448, 273, 7852, 348, 275, 2634, 302, 275, 3749, 8159, 800, 275, 424, 19, 204, 204, 1834, 618, 3014, 311, 6162, 43989, 329, 273, 2223, 2233, 302, 1187, 382, 2744, 17, 1273, 273, 3597, 3749, 8159, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 353, 19884, 19, 334, 2233, 302, 1187, 382, 2744, 353, 508, 275, 1729, 448, 275, 13107, 1870, 322, 10761, 14, 302, 275, 683, 17, 1101, 6216, 8788, 523, 275, 4948, 2634, 302, 275, 3749, 8159, 17, 275, 12721, 2347, 302, 275, 683, 17, 329, 275, 13107, 1870, 19, 204, 204, 673, 2089, 348, 275, 2634, 302, 273, 1187, 382, 908, 353, 31, 204, 204, 17856, 13, 45, 21, 97, 85, 33, 10761, 14, 289, 8896, 13, 85, 33, 10761, 97, 45, 21, 14, 8591, 8896, 13, 45, 21, 14, 802, 8896, 13, 85, 33, 10761, 14, 204, 204, 11142, 8896, 13, 45, 21, 97, 85, 33, 10761, 14, 353, 275, 2634, 302, 275, 3749, 8159, 800, 273, 4883, 284, 18, 876, 17, 8896, 13, 85, 33, 10761, 97, 45, 21, 14, 353, 275, 2634, 302, 273, 4883, 284, 18, 876, 800, 275, 3749, 8159, 322, 9798, 353, 275, 13107, 1870, 11181, 659, 8896, 13, 45, 21, 14, 353, 275, 4948, 2634, 302, 275, 3749, 8159, 17, 329, 8896, 13, 85, 33, 10761, 14, 353, 275, 2634, 302, 273, 4883, 284, 18, 876, 19, 204, 204, 1449, 7940, 273, 3264, 2233, 302, 1187, 382, 2744, 17, 275, 12721, 2347, 302, 275, 683, 1631, 444, 2223, 17, 329, 275, 4948, 2634, 302, 275, 3749, 8159, 1631, 444, 3264, 19, 3355, 17, 292, 1910, 2910, 17, 275, 12721, 2347, 353, 3264, 17, 329, 275, 4948, 2634, 302, 275, 3749, 8159, 353, 2223, 17, 6043, 311, 273, 2223, 2233, 302, 1187, 382, 2744, 19, 204, 204, 673, 732, 302, 284, 18, 1309, 329, 12721, 13107, 869, 1742, 48361, 17, 329, 1429, 874, 13567, 9037, 2986, 17, 1702, 448, 974, 17315, 3857, 521, 7048, 7046, 19, 3355, 17, 1605, 2986, 1425, 874, 1017, 18113, 17, 329, 273, 717, 11470, 348, 3184, 5912, 6678, 353, 4331, 19, 204, 204, 5842, 2237, 3979, 353, 311, 732, 273, 1216, 1609, 523, 17315, 3857, 17, 1101, 440, 273, 4802, 17455, 496, 2589, 4858, 869, 273, 2634, 302, 908, 496, 2950, 444, 726, 3498, 9002, 19, 1058, 3979, 618, 1308, 273, 35822, 5316, 329, 12212, 11470, 348, 3184, 5912, 6678, 19, 204, 204, 837, 808, 3979, 17, 275, 12117, 292, 273, 3220, 353, 4310, 448, 275, 14821, 302, 275, 15226, 3726, 348, 275, 3220, 2545, 1097, 20616, 2545, 2872, 19, 334, 6639, 6678, 353, 1675, 3392, 1609, 523, 275, 8316, 6678, 17, 12117, 17, 329, 16223, 91, 3423, 19, 334, 16223, 91, 3423, 353, 273, 37254, 4474, 496, 8788, 523, 275, 1874, 18680, 275, 3220, 329, 618, 10140, 348, 1792, 1880, 19, 204, 204, 673, 2089, 348, 275, 6639, 6678, 353, 31, 204, 204, 23320, 545, 33943, 289, 9376, 336, 33943, 8591, 322, 22, 338, 322, 22, 802, 322, 22, 465, 1918, 13, 57, 14467, 465, 15602, 705, 91, 3423, 18742, 204, 204, 1834, 3979, 5178, 1025, 1747, 275, 18113, 302, 275, 790, 1216, 302, 12721, 8159, 2907, 329, 3629, 273, 1182, 7439, 7285, 329, 10205, 2501, 302, 3184, 5912, 6678, 19, 1547, 1425, 6876, 348, 275, 292, 2244, 17989, 302, 4948, 6121, 329, 16631, 1025, 275, 4249, 17, 928, 618, 3014, 311, 1182, 18096, 6646, 18, 18468, 19, 204, 204, 26212, 17, 275, 790, 1216, 302, 12721, 8159, 2907, 353, 48474, 17, 329, 273, 717, 11470, 348, 3184, 5912, 6678, 353, 4331, 19, 334, 3979, 1609, 523, 17315, 3857, 329, 12117, 3629, 273, 35822, 5316, 329, 12212, 1988, 496, 618, 1340, 311, 6024, 275, 3666, 329, 26499, 302, 8615, 3793, 19, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 647, 2454, 204, 531, 12800, 532, 3219, 204, 204, 461, 1356, 68, 5207, 68, 2256, 13, 885, 68, 11393, 31, 421, 17, 1006, 68, 17956, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 778, 397, 275, 790, 4847, 2585, 16757, 275, 2311, 7949, 19, 204, 204, 264, 457, 31, 204, 268, 1006, 68, 11393, 322, 339, 330, 334, 2311, 4376, 2585, 1945, 19, 204, 268, 1006, 68, 17956, 322, 339, 330, 334, 2311, 10908, 2585, 1945, 19, 204, 204, 264, 1632, 31, 204, 268, 25858, 31, 828, 275, 4847, 2585, 353, 508, 9133, 19, 204, 264, 320, 204, 264, 397, 2454, 19, 2256, 68, 1270, 962, 322, 885, 68, 11393, 17, 1006, 68, 17956, 330, 204, 268, 456, 13, 75, 7, 596, 31, 4847, 463, 885, 68, 11393, 15999, 885, 68, 17956, 98, 521, 5092, 353, 1945, 431, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 461, 5327, 68, 5666, 374, 393, 443, 31, 204, 264, 320, 204, 264, 6153, 275, 3219, 348, 275, 2434, 2036, 3146, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 437, 908, 3459, 1882, 3219, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 968, 275, 3146, 3688, 204, 268, 3146, 68, 4591, 289, 463, 204, 305, 388, 417, 559, 388, 2472, 2036, 528, 204, 305, 388, 2256, 559, 388, 21, 19, 22, 19, 1003, 528, 204, 305, 388, 2749, 559, 388, 38, 308, 3247, 3798, 348, 44509, 1609, 523, 24862, 528, 204, 305, 388, 5515, 68, 2749, 559, 320, 38, 3277, 308, 3247, 3798, 496, 5018, 24862, 348, 15022, 329, 44509, 348, 5688, 19, 204, 14302, 1547, 3629, 273, 3277, 329, 7249, 18, 633, 18, 598, 4510, 348, 4141, 329, 11696, 4978, 7215, 1279, 17, 204, 305, 388, 14194, 559, 388, 29028, 2032, 11357, 435, 19, 21, 528, 204, 305, 388, 4020, 559, 388, 2301, 8382, 3230, 528, 204, 305, 388, 4020, 68, 2302, 559, 388, 996, 17745, 37, 293, 19, 1453, 528, 204, 305, 388, 805, 559, 388, 3189, 1963, 8750, 19, 1453, 20, 2301, 8382, 3230, 20, 2472, 2036, 528, 204, 305, 388, 9310, 68, 11729, 559, 551, 204, 485, 388, 9349, 528, 388, 47, 13213, 23, 528, 388, 5613, 2036, 528, 388, 17133, 528, 388, 948, 6435, 528, 204, 485, 388, 43694, 948, 528, 388, 5207, 18, 672, 3978, 528, 388, 82, 4928, 68, 27545, 94, 85, 1372, 528, 388, 948, 10626, 7, 204, 305, 7241, 204, 305, 388, 9290, 559, 3134, 13623, 528, 388, 2472, 2036, 2869, 204, 305, 388, 12477, 559, 3134, 3230, 528, 388, 1942, 528, 388, 5613, 2036, 528, 388, 17133, 528, 388, 9130, 2869, 204, 305, 388, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19994, 559, 551, 204, 485, 388, 11690, 5997, 4318, 8361, 528, 204, 485, 388, 29769, 6136, 5997, 8419, 22596, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 528, 204, 485, 388, 18427, 5997, 12679, 5997, 595, 24726, 20, 6654, 528, 204, 305, 7241, 204, 305, 388, 4780, 68, 481, 559, 463, 204, 485, 27262, 3134, 13585, 2079, 1339, 204, 305, 4752, 204, 268, 1211, 204, 204, 268, 314, 3055, 275, 3219, 204, 268, 3219, 7680, 4780, 68, 4591, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 1882, 3219, 31, 463, 74, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 3467, 19, 204, 264, 320, 204, 264, 314, 778, 275, 4847, 2585, 204, 264, 1356, 68, 5207, 68, 2256, 13, 23, 17, 720, 14, 204, 204, 264, 314, 6153, 275, 3219, 204, 264, 5327, 68, 5666, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 676, 3398, 7002, 45488, 11888, 31, 204, 264, 320, 204, 264, 6071, 275, 1040, 18, 416, 18, 23122, 1767, 19, 204, 204, 264, 334, 1040, 18, 416, 18, 23122, 1767, 353, 273, 1767, 302, 3717, 3157, 4310, 560, 275, 2631, 5035, 31, 204, 264, 338, 334, 1043, 3018, 353, 379, 22, 2625, 204, 264, 338, 7616, 15367, 3018, 353, 4489, 560, 15734, 275, 3090, 3018, 19, 204, 264, 338, 334, 2342, 353, 3870, 560, 11375, 275, 6920, 7428, 302, 848, 3717, 329, 21852, 275, 1040, 329, 3717, 311, 275, 722, 19, 204, 264, 320, 204, 204, 264, 436, 1900, 68, 20115, 68, 4953, 13, 327, 17, 300, 31, 421, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 275, 9776, 3018, 302, 275, 1040, 18, 416, 18, 23122, 1767, 19, 204, 204, 268, 457, 31, 204, 305, 300, 322, 339, 330, 334, 3018, 542, 292, 275, 1767, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 9776, 3018, 302, 275, 1040, 18, 416, 18, 23122, 1767, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 300, 353, 2202, 1194, 368, 19, 204, 268, 320, 204, 268, 397, 300, 962, 368, 31, 204, 305, 980, 987, 499, 83, 1631, 444, 3114, 1194, 500, 431, 204, 204, 268, 314, 977, 275, 1767, 440, 275, 1043, 3018, 204, 268, 1767, 289, 379, 22, 12, 204, 204, 268, 314, 2069, 275, 1767, 719, 311, 275, 9776, 3018, 204, 268, 348, 906, 292, 933, 13, 23, 17, 300, 465, 368, 330, 204, 305, 314, 2069, 275, 1682, 1767, 1609, 523, 275, 790, 1767, 204, 305, 1767, 289, 370, 806, 4776, 68, 2715, 68, 2626, 13, 2626, 14, 204, 204, 268, 407, 1767, 204, 204, 264, 436, 906, 4776, 68, 2715, 68, 2626, 13, 327, 17, 1767, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 275, 1682, 1767, 1609, 523, 275, 800, 1767, 19, 204, 204, 268, 457, 31, 204, 305, 1767, 322, 325, 330, 334, 790, 1767, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 1682, 1767, 292, 275, 1040, 18, 416, 18, 23122, 1767, 19, 204, 268, 320, 204, 268, 314, 977, 2558, 311, 3550, 3234, 302, 275, 790, 3717, 329, 1163, 1040, 204, 268, 1682, 68, 2626, 289, 5607, 204, 268, 790, 68, 4289, 289, 1767, 64, 21, 66, 204, 268, 1040, 289, 368, 204, 204, 268, 314, 1861, 1048, 275, 1767, 4145, 497, 275, 1350, 3717, 204, 268, 348, 3717, 292, 1767, 64, 22, 15136, 204, 305, 314, 828, 275, 790, 3717, 353, 275, 1729, 448, 275, 3090, 1051, 17, 6342, 275, 1040, 204, 305, 397, 3717, 564, 790, 68, 4289, 31, 204, 485, 1040, 1412, 368, 204, 305, 314, 828, 275, 790, 3717, 353, 1792, 497, 275, 3090, 1051, 17, 6283, 275, 1040, 329, 3717, 311, 275, 1682, 1767, 204, 305, 902, 31, 204, 485, 1682, 68, 2626, 1412, 394, 13, 765, 14, 465, 790, 68, 4289, 204, 485, 790, 68, 4289, 289, 3717, 204, 485, 1040, 289, 368, 204, 204, 268, 314, 5230, 275, 1673, 1767, 204, 268, 1682, 68, 2626, 1412, 394, 13, 765, 14, 465, 790, 68, 4289, 204, 204, 268, 407, 1682, 68, 2626, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 920, 289, 720, 204, 264, 1767, 68, 5404, 289, 3398, 7002, 45488, 11888, 374, 204, 264, 722, 289, 1767, 68, 5404, 19, 4776, 68, 20115, 68, 4953, 13, 804, 68, 920, 14, 204, 264, 456, 13, 75, 7, 673, 463, 804, 68, 920, 98, 427, 3018, 302, 275, 1040, 18, 416, 18, 23122, 1767, 353, 31, 463, 1300, 743, 204, 0, 673, 1581, 800, 353, 469, 338, 887, 289, 338, 1258, 93, 338, 7332, 19, 2416, 1020, 437, 6414, 1581, 17, 572, 618, 881, 887, 311, 1855, 2902, 302, 275, 1581, 19, 204, 204, 94, 338, 887, 465, 887, 289, 338, 1258, 93, 338, 7332, 465, 887, 204, 94, 289, 338, 1258, 93, 338, 8178, 204, 204, 12129, 2501, 311, 1020, 437, 6414, 1581, 353, 311, 1012, 440, 275, 800, 1581, 469, 338, 887, 289, 338, 1258, 93, 338, 7332, 329, 881, 1598, 93, 311, 1855, 2902, 329, 1675, 881, 7332, 311, 1855, 2902, 19, 204, 204, 94, 338, 887, 465, 1598, 93, 465, 7332, 289, 338, 1258, 93, 465, 1598, 93, 338, 7332, 465, 7332, 204, 94, 465, 1598, 93, 465, 8178, 289, 500, 204, 1258, 93, 465, 469, 465, 8178, 289, 500, 204, 94, 289, 338, 1258, 93, 338, 8178, 204, 204, 2310, 618, 1425, 1012, 440, 275, 1581, 469, 289, 338, 1258, 93, 338, 8178, 329, 4122, 1855, 2902, 560, 338, 22, 19, 204, 204, 18, 22, 13, 94, 14, 289, 338, 22, 2422, 1258, 93, 338, 8178, 14, 204, 18, 94, 289, 1598, 93, 465, 8178, 204, 94, 289, 338, 1258, 93, 338, 8178, 204, 204, 5797, 302, 1605, 3779, 529, 6414, 311, 469, 338, 887, 289, 338, 1258, 93, 338, 7332, 329, 311, 469, 289, 338, 1258, 93, 338, 8178, 19, 204, 204, 1449, 1356, 397, 469, 289, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 887, 338, 1598, 93, 465, 681, 353, 6414, 17, 572, 618, 5620, 490, 19, 204, 204, 94, 289, 887, 338, 1598, 93, 465, 681, 204, 94, 289, 931, 338, 1598, 93, 204, 204, 1834, 1581, 353, 508, 6414, 311, 469, 289, 338, 1258, 93, 338, 8178, 19, 204, 204, 1449, 1356, 397, 469, 289, 887, 465, 1598, 93, 338, 681, 353, 6414, 17, 572, 618, 5620, 490, 19, 204, 204, 94, 289, 887, 465, 1598, 93, 338, 681, 204, 94, 289, 435, 465, 1598, 93, 204, 204, 1834, 1581, 353, 508, 6414, 311, 469, 289, 338, 1258, 93, 338, 8178, 19, 204, 204, 1449, 1356, 397, 469, 289, 887, 338, 1598, 93, 338, 681, 353, 6414, 17, 572, 618, 5620, 490, 19, 204, 204, 94, 289, 887, 338, 1598, 93, 338, 681, 204, 94, 289, 435, 338, 1598, 93, 204, 204, 1834, 1581, 353, 508, 6414, 311, 469, 289, 338, 1258, 93, 338, 8178, 19, 204, 204, 673, 1581, 469, 289, 338, 1258, 93, 338, 8178, 353, 6414, 311, 469, 338, 887, 289, 338, 1258, 93, 338, 7332, 19, 0, 4226, 3944, 1689, 4684, 9620, 723, 243, 4684, 4134, 3863, 5972, 6443, 10257, 9145, 1191, 10818, 34163, 990, 19902, 1111, 21424, 725, 21564, 1111, 3632, 7658, 1001, 204, 30, 20, 1909, 5579, 3977, 10776, 3863, 5601, 2134, 3007, 55, 1251, 13035, 27, 19, 4452, 11191, 5579, 3283, 3863, 5972, 12165, 3863, 5601, 2134, 3007, 55, 19090, 21746, 17576, 4276, 22486, 408, 5579, 3283, 10776, 3863, 5601, 2134, 3007, 55, 3827, 17236, 24, 19, 2314, 11191, 5579, 5335, 3863, 5972, 17236, 11677, 19267, 4228, 6991, 2615, 8778, 568, 3863, 5972, 47688, 10257, 16873, 9145, 568, 204, 6443, 4127, 831, 14523, 3028, 7174, 1984, 19902, 1111, 21424, 408, 7441, 21564, 1111, 3632, 7658, 568, 9536, 4477, 1251, 10088, 854, 1689, 37313, 22486, 33373, 408, 7441, 21711, 1377, 5972, 9398, 1111, 32585, 33373, 568, 9536, 3863, 5972, 460, 1929, 4846, 568, 2891, 6443, 460, 1377, 5972, 7363, 11095, 1670, 10231, 5485, 1398, 408, 14931, 21732, 11095, 1670, 568, 12976, 5643, 1251, 10088, 18276, 1689, 4684, 42690, 408, 2253, 22242, 11095, 1670, 568, 204, 10282, 2822, 3476, 2253, 35371, 11308, 10088, 1689, 4684, 4127, 408, 14765, 6899, 31688, 8461, 16742, 26431, 3224, 5564, 460, 1377, 5972, 21542, 408, 3038, 4796, 27260, 10705, 9177, 9536, 6443, 1377, 5972, 25246, 4330, 9884, 20593, 568, 14116, 408, 5757, 1251, 10088, 22486, 14699, 2657, 1189, 22486, 460, 1377, 5972, 23932, 1390, 15098, 5562, 408, 5718, 3464, 14136, 39459, 4684, 4127, 1886, 18824, 1456, 1189, 25246, 1377, 5972, 4660, 20396, 568, 204, 5843, 6677, 12175, 3361, 3921, 831, 14523, 47660, 3598, 7174, 9157, 10705, 3944, 1689, 4684, 9620, 723, 243, 1111, 4684, 8464, 21145, 21226, 15544, 6776, 7363, 10444, 10231, 1398, 408, 10705, 4762, 12198, 408, 11095, 1670, 1970, 1603, 1111, 568, 1251, 10088, 921, 1689, 4684, 4127, 1191, 1398, 408, 9317, 4924, 21226, 5463, 1929, 15733, 5827, 408, 854, 1251, 17769, 5522, 1550, 30398, 21750, 48736, 568, 0, 647, 3805, 448, 1246, 204, 647, 2010, 448, 645, 204, 531, 4277, 19, 809, 68, 7419, 532, 951, 68, 804, 68, 1590, 204, 531, 6130, 19, 1618, 532, 9864, 204, 531, 6130, 19, 3814, 532, 11970, 22, 41, 17, 22488, 17, 18581, 17, 29775, 22, 41, 17, 15822, 17, 12628, 204, 531, 6130, 19, 2918, 532, 311, 68, 11697, 204, 531, 6130, 19, 16168, 532, 34807, 204, 647, 304, 204, 647, 28289, 204, 531, 12039, 19, 13118, 532, 1142, 68, 13118, 204, 531, 12039, 19, 11665, 532, 13667, 204, 647, 12039, 204, 34874, 19, 7237, 611, 46456, 534, 204, 34874, 19, 7237, 611, 19076, 534, 204, 204, 8, 968, 3454, 204, 5605, 68, 8327, 289, 2753, 204, 7429, 68, 19719, 289, 1607, 204, 51, 68, 14710, 289, 720, 204, 10710, 68, 2956, 289, 5737, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 6057, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1246, 19, 1362, 31, 9387, 424, 19, 204, 264, 320, 204, 264, 407, 1246, 19, 976, 68, 9671, 13, 553, 68, 546, 17, 4051, 833, 3102, 18, 29, 534, 204, 204, 461, 5221, 68, 492, 13, 492, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8192, 1068, 560, 7057, 2966, 5085, 17, 13881, 17, 329, 3506, 2159, 19, 204, 204, 264, 457, 31, 204, 264, 1068, 322, 325, 330, 6547, 311, 5221, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 20883, 1068, 19, 204, 264, 320, 204, 264, 314, 3182, 2966, 5085, 204, 264, 1068, 289, 304, 19, 1509, 17404, 17865, 12560, 8488, 1068, 789, 2892, 374, 204, 264, 314, 3182, 13881, 204, 264, 1068, 289, 304, 19, 1509, 13, 87, 18380, 10584, 92, 65, 88, 19160, 8488, 1068, 14, 204, 264, 314, 17253, 1068, 204, 264, 2159, 289, 1142, 68, 13118, 13, 492, 14, 204, 264, 314, 3182, 3506, 2159, 204, 264, 3506, 68, 2489, 289, 758, 13, 19076, 19, 2489, 611, 16035, 3063, 204, 264, 4932, 68, 2489, 289, 551, 750, 348, 1142, 292, 2159, 397, 1142, 19, 3006, 374, 508, 292, 3506, 68, 2489, 66, 204, 264, 407, 379, 3759, 1541, 13, 10975, 68, 2489, 14, 204, 204, 461, 3876, 68, 10397, 13, 10397, 31, 458, 17, 846, 68, 1205, 31, 421, 289, 8438, 68, 8327, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 16875, 7045, 974, 1142, 23, 5968, 570, 19, 204, 204, 264, 457, 31, 204, 264, 7045, 322, 655, 330, 783, 302, 7045, 311, 3876, 19, 204, 264, 846, 68, 1205, 322, 339, 330, 9814, 1277, 302, 273, 4094, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 16875, 916, 7045, 19, 204, 264, 320, 204, 264, 570, 289, 28289, 19, 1618, 19, 2683, 43441, 19, 986, 68, 750, 23, 5968, 68, 2478, 15736, 809, 20, 92, 23, 91, 19, 3539, 491, 2510, 34, 1021, 17, 4051, 833, 3102, 18, 29, 534, 204, 264, 17035, 68, 10397, 289, 1306, 204, 264, 348, 4094, 292, 7045, 31, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 204, 268, 2159, 289, 4094, 19, 1590, 374, 204, 268, 3876, 68, 6814, 289, 1306, 204, 268, 348, 1142, 292, 2159, 31, 204, 305, 397, 1142, 292, 570, 19, 7021, 31, 204, 485, 3876, 68, 6814, 19, 1223, 13, 809, 64, 750, 694, 204, 305, 902, 31, 204, 485, 314, 1426, 275, 1322, 1273, 273, 1142, 353, 508, 292, 275, 1142, 23, 5968, 570, 677, 7494, 204, 485, 3876, 68, 6814, 19, 1223, 13, 1123, 19, 4324, 13, 7429, 68, 19719, 602, 204, 268, 314, 17221, 521, 27418, 4094, 311, 846, 1277, 204, 268, 397, 1245, 13, 4471, 68, 6814, 14, 1323, 846, 68, 1205, 31, 204, 305, 3876, 68, 6814, 289, 3876, 68, 6814, 2022, 1129, 68, 1205, 66, 204, 268, 1677, 1245, 13, 4471, 68, 6814, 14, 962, 846, 68, 1205, 31, 204, 305, 3876, 68, 6814, 289, 645, 19, 13750, 1802, 4471, 68, 6814, 17, 645, 19, 4324, 1802, 1129, 68, 1205, 338, 1245, 13, 4471, 68, 6814, 659, 595, 5754, 68, 19719, 659, 4798, 34, 996, 3917, 3138, 34, 21, 14, 204, 268, 17035, 68, 10397, 19, 1223, 13, 4471, 68, 6814, 14, 204, 264, 407, 645, 19, 643, 13, 31522, 68, 10397, 14, 204, 204, 461, 2270, 68, 809, 13, 768, 68, 1827, 31, 927, 17, 300, 68, 3191, 31, 421, 14, 393, 9864, 31, 204, 264, 320, 204, 264, 4908, 13222, 570, 19, 204, 204, 264, 457, 31, 204, 264, 537, 68, 1827, 322, 2644, 330, 4429, 2665, 302, 275, 570, 19, 204, 264, 300, 68, 3191, 322, 339, 330, 3239, 302, 4364, 19, 204, 204, 264, 475, 31, 204, 264, 9864, 31, 42473, 570, 19, 204, 264, 320, 204, 264, 570, 289, 9864, 374, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 17, 537, 68, 1827, 34, 768, 68, 1827, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 22, 602, 204, 264, 570, 19, 826, 13, 22661, 22, 41, 13, 5108, 68, 835, 34, 23, 602, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 23, 602, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 23264, 1447, 204, 264, 570, 19, 826, 13, 9415, 13, 83, 68, 3191, 17, 4142, 1022, 11397, 3687, 204, 264, 570, 19, 7354, 13, 2650, 833, 11697, 68, 18760, 491, 4209, 833, 16667, 491, 5047, 4980, 5893, 2378, 204, 264, 407, 570, 204, 204, 461, 951, 68, 809, 13, 809, 31, 9864, 17, 1504, 68, 1219, 31, 645, 19, 766, 17, 469, 68, 1219, 31, 645, 19, 766, 17, 1504, 68, 804, 31, 645, 19, 766, 17, 469, 68, 804, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 570, 19, 204, 204, 264, 457, 31, 204, 264, 570, 322, 8790, 330, 3746, 311, 951, 19, 204, 264, 1504, 68, 1219, 322, 1123, 19, 766, 330, 7502, 424, 19, 204, 264, 469, 68, 1219, 322, 1123, 19, 766, 330, 7502, 1769, 19, 204, 264, 1504, 68, 804, 322, 1123, 19, 766, 330, 12016, 424, 19, 204, 264, 469, 68, 804, 322, 1123, 19, 766, 330, 12016, 1769, 19, 204, 264, 320, 204, 264, 314, 13600, 424, 348, 11970, 22, 41, 204, 264, 1504, 68, 1219, 289, 1504, 68, 1219, 19, 6358, 1802, 61, 68, 1219, 19, 1827, 64, 21, 648, 1504, 68, 1219, 19, 1827, 64, 22, 648, 595, 5754, 68, 19719, 602, 204, 264, 1504, 68, 804, 289, 1504, 68, 804, 19, 6358, 1802, 61, 68, 804, 19, 1827, 64, 21, 648, 1504, 68, 804, 19, 1827, 64, 22, 648, 595, 5754, 68, 19719, 602, 204, 264, 314, 5028, 18, 5617, 9694, 1769, 204, 264, 469, 68, 1219, 289, 311, 68, 11697, 13, 94, 68, 1219, 14, 204, 264, 469, 68, 804, 289, 311, 68, 11697, 13, 94, 68, 804, 14, 204, 264, 314, 968, 4744, 16663, 5176, 204, 264, 4744, 68, 25893, 289, 34807, 13, 13411, 833, 577, 68, 2650, 491, 23942, 34, 24, 17, 1006, 68, 4336, 34, 21, 19, 7585, 14, 204, 264, 570, 19, 2714, 13, 61, 68, 1219, 17, 469, 68, 1219, 17, 2068, 68, 835, 34, 10710, 68, 2956, 17, 6175, 34, 51, 68, 14710, 17, 3587, 68, 481, 3644, 61, 68, 804, 17, 469, 68, 804, 659, 16114, 3603, 21042, 68, 25893, 694, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1385, 424, 204, 264, 424, 289, 1137, 68, 481, 15736, 481, 20, 481, 68, 76, 912, 19, 14140, 534, 204, 264, 7045, 289, 424, 736, 492, 3750, 1309, 204, 264, 1769, 289, 424, 736, 1676, 3750, 1309, 204, 204, 264, 314, 8192, 1068, 204, 264, 8049, 68, 10397, 289, 551, 7701, 68, 492, 13, 6814, 14, 348, 4094, 292, 7045, 66, 204, 204, 264, 314, 16875, 7045, 204, 264, 17035, 68, 10397, 289, 3876, 68, 10397, 13, 22067, 68, 10397, 14, 204, 204, 264, 314, 3736, 424, 1025, 1737, 329, 2907, 3416, 204, 264, 1504, 68, 1219, 17, 1504, 68, 804, 17, 469, 68, 1219, 17, 469, 68, 804, 289, 951, 68, 804, 68, 1590, 13, 31522, 68, 10397, 17, 1769, 17, 683, 68, 835, 34, 21, 19, 3268, 17, 1400, 68, 1512, 34, 5820, 14, 204, 204, 264, 314, 4908, 329, 951, 570, 204, 264, 570, 289, 2270, 68, 809, 1802, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5605, 68, 8327, 17, 595, 5754, 68, 19719, 659, 1245, 13, 1123, 19, 5271, 13, 2185, 3694, 204, 264, 951, 68, 809, 13, 809, 17, 1504, 68, 1219, 17, 469, 68, 1219, 17, 1504, 68, 804, 17, 469, 68, 804, 14, 204, 204, 264, 314, 3025, 570, 3093, 204, 264, 570, 19, 2360, 68, 3815, 15736, 809, 20, 809, 19, 77, 26, 534, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 2010, 448, 645, 204, 531, 1804, 532, 1804, 204, 204, 461, 11564, 68, 4591, 68, 12465, 269, 7665, 13, 4591, 31, 1135, 17, 1812, 68, 32937, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 3289, 311, 1814, 830, 275, 3688, 2357, 5575, 311, 275, 2089, 1713, 204, 264, 292, 1812, 68, 32937, 19, 204, 204, 264, 457, 31, 204, 268, 3688, 322, 873, 330, 23660, 955, 311, 11564, 19, 204, 268, 1812, 68, 32937, 322, 873, 330, 6881, 302, 1812, 424, 3003, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 28703, 3688, 955, 19, 204, 264, 320, 204, 204, 264, 314, 968, 273, 955, 311, 2304, 782, 3003, 311, 1017, 3310, 6673, 3263, 204, 264, 6673, 68, 8396, 289, 463, 204, 268, 388, 1703, 68, 996, 68, 29632, 559, 906, 1703, 68, 996, 68, 3828, 17, 204, 268, 388, 1703, 68, 2664, 68, 29632, 559, 906, 1703, 68, 2664, 68, 3828, 17, 204, 268, 388, 1703, 68, 2664, 68, 8765, 559, 906, 1703, 68, 2664, 68, 8765, 204, 264, 1211, 204, 204, 264, 314, 1861, 1048, 848, 896, 18, 876, 3868, 292, 275, 3688, 955, 204, 264, 348, 896, 17, 700, 292, 3688, 19, 1996, 1293, 204, 268, 314, 778, 397, 275, 896, 2560, 292, 275, 1812, 68, 32937, 955, 204, 268, 397, 896, 292, 1812, 68, 32937, 31, 204, 305, 8439, 68, 932, 289, 1812, 68, 32937, 64, 644, 66, 204, 3123, 305, 314, 778, 397, 8439, 68, 932, 353, 273, 1187, 204, 305, 397, 2381, 13, 4415, 68, 932, 17, 1187, 330, 204, 485, 314, 3289, 311, 1814, 275, 700, 311, 275, 1713, 1187, 204, 485, 810, 31, 204, 895, 3688, 64, 644, 66, 289, 645, 19, 643, 13, 4415, 68, 932, 13, 876, 602, 204, 485, 827, 987, 448, 318, 31, 204, 895, 456, 13, 75, 7, 596, 10657, 463, 644, 98, 311, 463, 4415, 68, 932, 3925, 417, 38255, 463, 74, 743, 204, 3123, 305, 314, 778, 397, 8439, 68, 932, 353, 273, 782, 204, 305, 1677, 2381, 13, 4415, 68, 932, 17, 394, 330, 204, 485, 314, 778, 397, 275, 8439, 68, 932, 353, 273, 1097, 6673, 741, 204, 485, 397, 8439, 68, 932, 292, 6673, 68, 8396, 31, 204, 895, 314, 4889, 275, 3310, 6673, 741, 204, 895, 3688, 64, 644, 66, 289, 6673, 68, 8396, 64, 4415, 68, 932, 13281, 876, 14, 204, 485, 902, 31, 204, 895, 980, 3660, 13, 75, 7, 15204, 8439, 68, 932, 31, 463, 4415, 68, 932, 743, 204, 3123, 305, 314, 828, 8439, 68, 932, 353, 12956, 273, 1187, 10524, 273, 782, 17, 980, 437, 908, 204, 305, 902, 31, 204, 485, 980, 3660, 13, 75, 7, 11741, 8439, 68, 932, 311, 444, 273, 1187, 521, 394, 17, 1101, 7550, 463, 932, 13, 4415, 68, 932, 3835, 204, 204, 264, 407, 3688, 204, 204, 204, 461, 906, 1703, 68, 996, 68, 3828, 13, 325, 68, 522, 68, 29632, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2735, 273, 782, 302, 12937, 18, 7996, 16524, 1025, 273, 2010, 1348, 19, 204, 204, 264, 457, 31, 204, 268, 394, 68, 522, 68, 29632, 322, 325, 330, 6109, 302, 12937, 18, 7996, 16524, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 42120, 1348, 302, 16524, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 782, 1025, 273, 458, 302, 3157, 204, 264, 394, 68, 655, 289, 394, 68, 522, 68, 29632, 19, 1590, 16327, 204, 615, 264, 314, 3289, 311, 1814, 848, 782, 311, 273, 818, 204, 264, 810, 31, 204, 268, 818, 68, 655, 289, 551, 996, 13, 88, 14, 348, 297, 292, 394, 68, 655, 66, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 6673, 818, 2450, 31, 463, 74, 743, 204, 268, 407, 645, 19, 643, 18197, 204, 615, 264, 314, 455, 275, 458, 448, 273, 2010, 1348, 204, 264, 407, 645, 19, 643, 13, 996, 68, 655, 14, 204, 204, 204, 461, 906, 1703, 68, 2664, 68, 8765, 13, 325, 68, 522, 68, 8765, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2735, 273, 2875, 1804, 782, 1025, 273, 2010, 1348, 19, 204, 204, 264, 457, 31, 204, 268, 394, 68, 522, 68, 8765, 322, 325, 330, 412, 1344, 782, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 42120, 1348, 1174, 275, 3634, 1804, 19, 204, 264, 320, 204, 264, 314, 3289, 311, 2252, 275, 1804, 782, 204, 264, 810, 31, 204, 268, 7357, 289, 1804, 19, 12903, 13, 325, 68, 522, 68, 8765, 17, 13057, 62, 5079, 82, 5079, 73, 1564, 45, 6212, 50, 6212, 56, 431, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 6673, 1804, 31, 463, 74, 743, 204, 268, 407, 645, 19, 643, 18197, 204, 615, 264, 314, 455, 275, 3634, 1804, 448, 273, 2010, 1348, 204, 264, 407, 645, 19, 643, 1568, 5144, 694, 204, 204, 204, 461, 906, 1703, 68, 2664, 68, 3828, 13, 325, 68, 522, 68, 29632, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2735, 273, 782, 302, 12937, 18, 7996, 1804, 3157, 1025, 273, 2010, 1348, 19, 204, 204, 264, 457, 31, 204, 268, 394, 68, 522, 68, 29632, 322, 325, 330, 6109, 302, 12937, 18, 7996, 1804, 3157, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 42120, 1348, 302, 3634, 1804, 88, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 782, 1025, 273, 458, 302, 3157, 204, 264, 394, 68, 655, 289, 394, 68, 522, 68, 29632, 19, 1590, 16327, 204, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 615, 264, 314, 3289, 311, 2252, 848, 1804, 782, 204, 264, 810, 31, 204, 268, 7357, 68, 655, 289, 551, 2664, 19, 12903, 13, 88, 17, 13057, 62, 5079, 82, 5079, 73, 1564, 45, 6212, 50, 6212, 56, 431, 348, 297, 292, 394, 68, 655, 66, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 6673, 1804, 2450, 31, 463, 74, 743, 204, 268, 407, 645, 19, 643, 18197, 204, 615, 264, 314, 455, 275, 458, 448, 273, 2010, 1348, 204, 264, 407, 645, 19, 643, 13, 5144, 68, 655, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3688, 289, 463, 204, 268, 388, 996, 68, 644, 559, 388, 22, 19, 21, 17, 23, 19, 21, 17, 24, 19, 21, 528, 204, 268, 388, 2664, 68, 644, 559, 388, 8409, 18, 3222, 18, 3222, 1598, 31, 473, 31, 473, 528, 204, 268, 388, 2664, 68, 3828, 68, 644, 559, 388, 8409, 18, 3222, 18, 3222, 1598, 31, 473, 31, 473, 17, 8409, 18, 3222, 18, 5559, 1598, 31, 473, 31, 473, 17, 8409, 18, 3222, 18, 7432, 1598, 31, 473, 31, 473, 7, 204, 264, 1211, 204, 615, 264, 1812, 68, 32937, 289, 463, 204, 268, 388, 996, 68, 644, 559, 388, 1703, 68, 996, 68, 29632, 528, 204, 268, 388, 2664, 68, 644, 559, 388, 1703, 68, 2664, 68, 8765, 528, 204, 268, 388, 2664, 68, 3828, 68, 644, 559, 388, 1703, 68, 2664, 68, 29632, 7, 204, 264, 1211, 204, 615, 264, 6768, 68, 4591, 289, 11564, 68, 4591, 68, 12465, 269, 7665, 13, 4591, 17, 1812, 68, 32937, 14, 204, 264, 456, 13, 16724, 68, 4591, 14, 204, 0, 658, 1752, 275, 18347, 302, 273, 19467, 9354, 204, 204, 673, 7464, 4554, 5150, 529, 800, 448, 435, 9732, 1168, 292, 560, 368, 9732, 720, 292, 19, 2416, 1020, 275, 8089, 17, 572, 1519, 311, 881, 275, 5466, 302, 830, 2902, 19, 204, 204, 5834, 17, 1814, 275, 5150, 311, 273, 2875, 2350, 322, 22520, 14, 348, 12116, 31, 204, 18, 435, 9732, 289, 435, 540, 1598, 289, 3528, 292, 17, 754, 435, 9732, 1168, 292, 289, 3528, 292, 465, 1168, 292, 289, 7207, 292, 204, 18, 368, 9732, 289, 368, 540, 1598, 289, 1598, 292, 17, 754, 368, 9732, 720, 292, 289, 1598, 292, 465, 720, 292, 289, 3139, 292, 204, 204, 673, 7464, 4554, 353, 273, 4392, 17, 754, 490, 869, 970, 2902, 302, 7207, 292, 329, 970, 2902, 302, 3139, 292, 19, 204, 204, 29187, 289, 1066, 302, 830, 2902, 204, 34, 7207, 292, 465, 7207, 292, 465, 3139, 292, 465, 3139, 292, 204, 34, 13748, 292, 204, 204, 1449, 5620, 17, 1814, 275, 1113, 6887, 311, 5301, 329, 6887, 31, 204, 5007, 292, 289, 1132, 9732, 322, 8500, 13748, 802, 1598, 289, 1132, 14, 204, 204, 4356, 17, 275, 8089, 302, 275, 7464, 4554, 353, 1132, 9732, 19, 0, 3719, 610, 353, 273, 2318, 542, 17, 1020, 275, 933, 302, 610, 496, 12478, 275, 800, 8047, 19, 204, 204, 673, 800, 8047, 353, 31, 2175, 13, 772, 318, 14, 322, 25, 93, 338, 610, 67, 23, 20, 24, 14, 11253, 500, 204, 204, 4592, 275, 14821, 302, 273, 542, 353, 3114, 1194, 521, 1936, 311, 500, 17, 275, 542, 5398, 1631, 444, 3114, 1194, 521, 1936, 311, 368, 19, 716, 204, 2551, 17, 681, 93, 338, 610, 67, 23, 20, 24, 11253, 368, 204, 204, 18672, 275, 8047, 17, 572, 636, 31, 226, 204, 93, 67, 23, 338, 681, 93, 465, 571, 8103, 500, 204, 204, 1449, 2616, 808, 6884, 8047, 17, 572, 618, 38112, 490, 31, 204, 13, 93, 338, 368, 3085, 93, 338, 571, 14, 8103, 500, 204, 204, 1834, 8047, 353, 3597, 1330, 322, 93, 338, 368, 14, 329, 322, 93, 338, 571, 14, 874, 7283, 9649, 17, 928, 11080, 1330, 368, 8103, 610, 8103, 571, 19, 204, 204, 4356, 17, 275, 933, 302, 610, 496, 12478, 275, 800, 8047, 353, 368, 8103, 610, 8103, 571, 19, 0, 315, 204, 25835, 677, 35511, 741, 17, 17147, 13, 83, 659, 353, 1376, 311, 3822, 275, 542, 302, 886, 2202, 1194, 300, 928, 529, 10976, 2727, 311, 300, 19, 204, 673, 5210, 353, 311, 1020, 275, 700, 302, 300, 8103, 368, 17, 1207, 17, 1207, 348, 928, 300, 20, 16066, 13, 83, 14, 353, 273, 1646, 19, 204, 315, 204, 204, 531, 2821, 532, 5900, 204, 531, 1498, 532, 14076, 204, 204, 461, 40946, 68, 14472, 1275, 13, 83, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 14712, 677, 35511, 741, 17, 17147, 13, 83, 659, 928, 353, 275, 542, 302, 886, 2202, 1194, 300, 496, 529, 10976, 2727, 311, 300, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 537, 542, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 722, 302, 14712, 677, 35511, 741, 19, 204, 264, 320, 204, 264, 722, 289, 300, 204, 264, 284, 289, 435, 204, 264, 1335, 284, 540, 284, 2186, 300, 31, 204, 268, 314, 828, 284, 353, 273, 2727, 2479, 302, 300, 17, 1395, 300, 329, 722, 204, 268, 397, 300, 1564, 284, 564, 500, 31, 204, 305, 1335, 300, 1564, 284, 564, 500, 31, 204, 485, 300, 25885, 284, 204, 305, 722, 4922, 722, 3166, 284, 204, 268, 284, 1412, 368, 204, 264, 314, 828, 300, 353, 273, 2727, 542, 3114, 1194, 368, 204, 264, 397, 300, 1323, 368, 31, 204, 268, 722, 4922, 722, 3166, 300, 204, 264, 407, 722, 204, 204, 461, 1020, 68, 1129, 68, 83, 13, 16052, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 275, 700, 302, 300, 8103, 1646, 348, 928, 300, 20, 16066, 13, 83, 14, 353, 273, 1646, 19, 204, 204, 264, 457, 31, 204, 268, 1646, 322, 339, 330, 334, 3482, 2689, 348, 300, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 700, 302, 300, 348, 928, 300, 20, 16066, 13, 83, 14, 353, 273, 1646, 19, 204, 264, 320, 204, 264, 846, 68, 6534, 289, 500, 204, 264, 846, 68, 83, 289, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 500, 204, 264, 348, 300, 292, 933, 13, 22, 17, 1646, 465, 368, 330, 204, 268, 314, 888, 14712, 677, 35511, 741, 204, 268, 14482, 68, 83, 289, 40946, 68, 14472, 1275, 13, 83, 14, 204, 268, 314, 888, 275, 3726, 300, 20, 16066, 13, 83, 14, 204, 268, 3726, 289, 300, 802, 14482, 68, 83, 204, 268, 314, 1716, 846, 68, 83, 397, 275, 790, 3726, 353, 3114, 1194, 846, 68, 6534, 204, 268, 397, 3726, 1323, 846, 68, 6534, 31, 204, 305, 846, 68, 6534, 289, 3726, 204, 305, 846, 68, 83, 289, 300, 204, 264, 407, 846, 68, 83, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 810, 31, 204, 268, 1646, 289, 421, 13, 768, 499, 2101, 275, 1646, 700, 322, 2305, 31, 21920, 330, 2810, 521, 21920, 14, 204, 268, 397, 1646, 2186, 500, 31, 204, 305, 980, 987, 499, 14020, 1631, 444, 273, 2140, 1534, 431, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 268, 1646, 289, 21920, 204, 204, 264, 456, 13, 75, 7, 673, 700, 302, 300, 8103, 463, 16052, 98, 348, 928, 300, 20, 16066, 13, 83, 14, 353, 273, 1646, 353, 31, 463, 2269, 68, 1129, 68, 83, 13, 16052, 3835, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 647, 1437, 204, 647, 15397, 204, 647, 15397, 19, 13558, 448, 8112, 204, 647, 1437, 19, 2606, 448, 2839, 204, 647, 1437, 19, 2606, 19, 14213, 448, 472, 204, 647, 1437, 19, 4647, 448, 2976, 204, 531, 1437, 19, 2918, 19, 481, 532, 9954, 17, 8641, 204, 647, 1127, 204, 647, 2044, 23, 204, 531, 1137, 68, 2182, 532, 1485, 204, 204, 676, 13222, 1655, 13, 2606, 19, 3732, 330, 204, 264, 320, 204, 264, 332, 3277, 17816, 15301, 9389, 322, 19965, 14, 570, 19, 204, 204, 264, 1532, 31, 204, 268, 7468, 22, 322, 2606, 19, 6769, 23, 73, 330, 334, 1043, 7752, 2522, 19, 204, 268, 5089, 22, 322, 2606, 19, 30946, 7884, 23, 73, 330, 334, 1043, 2480, 14549, 2522, 19, 204, 268, 7468, 23, 322, 2606, 19, 6769, 23, 73, 330, 334, 1350, 7752, 2522, 19, 204, 268, 5089, 23, 322, 2606, 19, 30946, 7884, 23, 73, 330, 334, 1350, 2480, 14549, 2522, 19, 204, 268, 19224, 22, 322, 2606, 19, 6446, 330, 334, 1043, 8106, 4851, 2522, 19, 204, 268, 19224, 23, 322, 2606, 19, 6446, 330, 334, 1350, 8106, 4851, 2522, 19, 204, 268, 19224, 24, 322, 2606, 19, 6446, 330, 334, 4986, 8106, 4851, 2522, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 2234, 13, 19965, 1655, 17, 370, 7906, 924, 6203, 204, 268, 370, 19, 4575, 22, 289, 2839, 19, 6769, 23, 73, 13, 24, 17, 681, 17, 571, 17, 5204, 34, 22, 14, 204, 268, 370, 19, 5108, 22, 289, 2839, 19, 30946, 7884, 23, 73, 13, 23, 17, 8096, 34, 23, 14, 204, 268, 370, 19, 4575, 23, 289, 2839, 19, 6769, 23, 73, 13, 25, 17, 2247, 17, 571, 17, 5204, 34, 22, 14, 204, 268, 370, 19, 5108, 23, 289, 2839, 19, 30946, 7884, 23, 73, 13, 23, 17, 8096, 34, 23, 14, 204, 268, 370, 19, 6586, 22, 289, 2839, 19, 6446, 13, 1845, 540, 5737, 540, 5737, 17, 3861, 14, 204, 268, 370, 19, 6586, 23, 289, 2839, 19, 6446, 13, 5758, 17, 1607, 14, 204, 268, 370, 19, 6586, 24, 289, 2839, 19, 6446, 13, 2051, 17, 1168, 14, 204, 204, 264, 436, 4533, 13, 327, 17, 610, 31, 1437, 19, 1556, 14, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 9711, 1879, 302, 275, 570, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 3109, 19, 1556, 330, 334, 537, 2162, 19, 204, 204, 268, 475, 31, 204, 305, 1437, 19, 1556, 31, 334, 919, 2162, 19, 204, 268, 320, 204, 268, 610, 289, 472, 19, 5723, 13, 327, 19, 4575, 22, 13, 93, 602, 226, 314, 3291, 14479, 4142, 741, 204, 268, 610, 289, 370, 19, 5108, 22, 13, 93, 14, 226, 314, 3291, 2480, 14549, 204, 268, 610, 289, 472, 19, 5723, 13, 327, 19, 4575, 23, 13, 93, 602, 226, 314, 3291, 14479, 4142, 741, 204, 268, 610, 289, 370, 19, 5108, 23, 13, 93, 14, 226, 314, 3291, 2480, 14549, 204, 268, 610, 289, 610, 19, 1529, 13, 93, 19, 835, 13, 21, 659, 338, 22, 14, 226, 314, 15822, 275, 2162, 204, 268, 610, 289, 472, 19, 5723, 13, 327, 19, 6586, 22, 13, 93, 602, 226, 314, 3291, 14479, 4142, 741, 204, 268, 610, 289, 472, 19, 5723, 13, 327, 19, 6586, 23, 13, 93, 602, 226, 314, 3291, 14479, 4142, 741, 204, 268, 610, 289, 370, 19, 6586, 24, 13, 93, 14, 226, 314, 3291, 3542, 6220, 204, 268, 407, 610, 204, 204, 461, 949, 68, 5893, 13, 809, 31, 2839, 19, 3732, 17, 424, 68, 3670, 31, 8641, 17, 2322, 31, 1437, 19, 3075, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 3666, 302, 275, 570, 523, 275, 800, 424, 6707, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 3953, 19, 204, 268, 424, 68, 3670, 322, 10535, 330, 334, 424, 6707, 311, 732, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 3666, 302, 275, 570, 19, 204, 264, 320, 204, 264, 1706, 289, 500, 204, 264, 1113, 289, 500, 204, 264, 440, 1437, 19, 1625, 68, 6164, 1293, 204, 268, 348, 424, 292, 424, 68, 3670, 31, 204, 305, 3806, 17, 1769, 289, 424, 64, 21, 1664, 633, 13, 3075, 659, 424, 64, 22, 1664, 633, 13, 3075, 14, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 6915, 3908, 289, 1437, 19, 1129, 13, 7247, 19, 481, 17, 368, 14, 204, 305, 1113, 1412, 1769, 19, 835, 13, 21, 14, 204, 305, 1706, 1412, 322, 10609, 564, 1769, 789, 1303, 1528, 1271, 374, 204, 264, 407, 1706, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 802, 1113, 204, 204, 461, 949, 68, 18666, 68, 1663, 13, 809, 31, 2839, 19, 3732, 17, 424, 68, 3670, 31, 8641, 17, 2322, 31, 1437, 19, 3075, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 888, 275, 9578, 1525, 302, 275, 570, 523, 275, 800, 424, 6707, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 3953, 19, 204, 268, 424, 68, 3670, 322, 10535, 330, 334, 424, 6707, 311, 732, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 9578, 1525, 302, 275, 570, 19, 204, 264, 320, 204, 264, 9578, 68, 1663, 289, 645, 19, 4324, 1802, 28, 17, 1168, 602, 204, 264, 440, 1437, 19, 1625, 68, 6164, 1293, 204, 268, 348, 424, 292, 424, 68, 3670, 31, 204, 305, 3806, 17, 1769, 289, 424, 64, 21, 1664, 633, 13, 3075, 659, 424, 64, 22, 1664, 633, 13, 3075, 14, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 6915, 3908, 289, 1437, 19, 1129, 13, 7247, 19, 481, 17, 368, 14, 204, 305, 348, 296, 292, 933, 13, 10609, 19, 1827, 64, 21, 1037, 204, 485, 9578, 68, 1663, 64, 2185, 64, 78, 1664, 1271, 374, 1799, 10609, 64, 78, 1664, 1271, 6485, 1412, 368, 204, 264, 407, 9578, 68, 1663, 204, 204, 461, 951, 68, 809, 13, 809, 31, 2839, 19, 3732, 17, 951, 68, 3670, 31, 8641, 17, 1097, 68, 3670, 31, 8641, 17, 2322, 31, 1437, 19, 3075, 17, 6175, 31, 421, 17, 3100, 68, 1949, 31, 818, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 275, 570, 523, 275, 800, 424, 18173, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 951, 19, 204, 268, 951, 68, 3670, 322, 10535, 330, 334, 1737, 424, 6707, 19, 204, 268, 1097, 68, 3670, 322, 10535, 330, 334, 3587, 424, 6707, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 19, 204, 268, 6175, 322, 339, 330, 334, 542, 302, 6175, 311, 951, 19, 204, 268, 3100, 68, 1949, 322, 996, 330, 334, 3100, 2233, 311, 732, 19, 204, 264, 320, 204, 264, 314, 977, 9616, 329, 4209, 204, 264, 9616, 289, 2839, 19, 24987, 374, 204, 264, 4209, 289, 2976, 19, 12967, 13, 809, 19, 3465, 2144, 10264, 34, 6859, 68, 1949, 14, 204, 204, 264, 314, 5360, 570, 311, 2322, 204, 264, 570, 19, 633, 13, 3075, 14, 204, 204, 264, 314, 2672, 570, 204, 264, 348, 3741, 292, 933, 13, 7064, 330, 204, 268, 4436, 68, 2650, 289, 500, 19, 21, 204, 268, 348, 296, 17, 424, 292, 3209, 13, 1219, 68, 3670, 17, 500, 330, 204, 305, 3806, 17, 1769, 289, 424, 64, 21, 1664, 633, 13, 3075, 659, 424, 64, 22, 1664, 633, 13, 3075, 14, 204, 305, 4209, 19, 5306, 68, 6164, 374, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 2210, 289, 9616, 13, 7247, 17, 1769, 14, 204, 305, 2210, 19, 12242, 374, 204, 305, 4209, 19, 2290, 374, 204, 305, 4436, 68, 2650, 1412, 2210, 19, 1271, 374, 204, 305, 397, 296, 1564, 931, 564, 1233, 31, 204, 485, 456, 13, 75, 30762, 4220, 16, 22, 1522, 463, 78, 16, 22, 11129, 2210, 31, 463, 10051, 68, 2650, 20, 1003, 4567, 28, 75, 743, 204, 485, 4436, 68, 2650, 289, 500, 19, 21, 204, 204, 461, 3953, 68, 809, 13, 809, 31, 2839, 19, 3732, 17, 951, 68, 3670, 31, 8641, 17, 1097, 68, 3670, 31, 8641, 17, 2322, 31, 1437, 19, 3075, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4938, 275, 570, 523, 275, 800, 424, 18173, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 3953, 19, 204, 268, 951, 68, 3670, 322, 10535, 330, 334, 1737, 424, 6707, 19, 204, 268, 1097, 68, 3670, 322, 10535, 330, 334, 3587, 424, 6707, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 19, 204, 264, 320, 204, 264, 314, 888, 3666, 329, 9578, 1525, 204, 264, 951, 68, 5893, 289, 949, 68, 5893, 13, 809, 17, 951, 68, 3670, 17, 2322, 14, 204, 264, 1097, 68, 5893, 289, 949, 68, 5893, 13, 809, 17, 1097, 68, 3670, 17, 2322, 14, 204, 264, 951, 68, 18666, 68, 1663, 289, 949, 68, 18666, 68, 1663, 13, 809, 17, 951, 68, 3670, 17, 2322, 14, 204, 264, 1097, 68, 18666, 68, 1663, 289, 949, 68, 18666, 68, 1663, 13, 809, 17, 1097, 68, 3670, 17, 2322, 14, 204, 204, 264, 314, 1198, 1563, 204, 264, 456, 13, 75, 7, 7791, 3666, 31, 463, 1219, 68, 5893, 4567, 23, 75, 28131, 204, 264, 456, 13, 75, 7, 5141, 3666, 31, 463, 1018, 68, 5893, 4567, 23, 75, 28131, 204, 264, 456, 499, 7791, 9578, 1525, 2212, 204, 264, 456, 13, 1219, 68, 18666, 68, 1663, 14, 204, 264, 456, 499, 5141, 9578, 1525, 2212, 204, 264, 456, 13, 1018, 68, 18666, 68, 1663, 14, 204, 204, 461, 667, 1293, 204, 264, 314, 1359, 11848, 204, 264, 2068, 68, 835, 289, 931, 204, 264, 6175, 289, 720, 204, 264, 3100, 68, 1949, 289, 368, 74, 18, 24, 204, 204, 264, 314, 1359, 2322, 204, 264, 2322, 289, 1437, 19, 3075, 499, 6938, 7, 397, 1437, 19, 6938, 19, 360, 68, 6772, 374, 902, 388, 6995, 431, 204, 204, 264, 314, 1385, 1485, 204, 264, 832, 289, 388, 41, 18375, 14846, 1208, 4727, 31493, 887, 4727, 8451, 9579, 1003, 4727, 32156, 571, 4727, 7, 204, 264, 3101, 68, 2182, 289, 1485, 13, 2029, 34, 865, 19, 546, 19, 1541, 13, 546, 17, 388, 1219, 19, 77, 26, 3687, 204, 264, 951, 68, 835, 289, 421, 13, 1796, 13, 5022, 68, 2182, 14, 540, 500, 19, 29, 14, 204, 264, 1097, 68, 835, 289, 1245, 13, 5022, 68, 2182, 14, 338, 951, 68, 835, 204, 264, 951, 68, 2182, 17, 1097, 68, 2182, 289, 1437, 19, 2918, 19, 481, 19, 2017, 68, 1590, 13, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
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	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3878, 831, 9399, 2822, 28233, 8069, 1871, 568, 226, 3878, 831, 9399, 2822, 3079, 11519, 12391, 568, 226, 3878, 831, 9399, 2822, 27782, 9230, 13866, 568, 226, 3878, 831, 9399, 2822, 2494, 41309, 7702, 23575, 568, 226, 3878, 831, 9399, 2822, 9477, 12708, 16961, 14708, 568, 204, 13240, 3854, 3028, 4015, 9121, 2183, 16322, 2781, 26268, 20326, 26856, 34575, 4667, 1189, 4015, 3500, 2822, 11066, 2183, 460, 10947, 14249, 29181, 226, 24047, 2780, 22069, 942, 27546, 9121, 2183, 41314, 408, 19446, 7678, 15793, 5844, 568, 1432, 40940, 15276, 8840, 2780, 16192, 3227, 921, 20936, 8356, 5844, 9121, 2183, 3362, 3812, 204, 831, 12598, 9863, 408, 3977, 18777, 9903, 4224, 2110, 408, 2934, 1946, 18876, 30025, 990, 17690, 8028, 37220, 22395, 24750, 8028, 1401, 37244, 13349, 8128, 47855, 725, 25978, 1099, 114, 2791, 6077, 24555, 2433, 1843, 18706, 8780, 9466, 17605, 21161, 16174, 37022, 20283, 13531, 408, 3879, 1189, 4264, 26, 28998, 27810, 9466, 831, 15097, 4762, 15098, 2822, 8293, 1116, 408, 3038, 7441, 18109, 1524, 36251, 39791, 11587, 1116, 24488, 15344, 22313, 460, 38184, 37656, 568, 2433, 1843, 18706, 8780, 4788, 4788, 1189, 3984, 408, 24554, 33532, 19500, 1970, 5883, 408, 23060, 18148, 5928, 1970, 3136, 6969, 2110, 1251, 13189, 408, 7441, 3468, 3407, 1524, 43413, 3064, 2773, 6311, 408, 4276, 16486, 25213, 24555, 460, 9466, 17605, 21161, 3064, 3136, 6553, 1390, 875, 106, 13272, 408, 1390, 6998, 9486, 1670, 4775, 6021, 23448, 13172, 12569, 9121, 568, 4796, 3131, 4136, 990, 17690, 8028, 1001, 460, 3977, 18777, 875, 106, 2730, 10400, 226, 10448, 7589, 3654, 43484, 37439, 5182, 204, 0, 461, 1020, 68, 1549, 6732, 68, 876, 13, 2626, 31, 458, 64, 339, 648, 7448, 68, 4266, 14, 393, 421, 1152, 443, 31, 204, 264, 320, 204, 264, 6746, 275, 8282, 700, 292, 273, 1767, 1609, 523, 275, 1917, 7448, 741, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 268, 7448, 68, 4266, 322, 10740, 330, 332, 741, 496, 5178, 970, 1906, 329, 2584, 959, 397, 275, 1043, 4601, 353, 508, 275, 8282, 700, 19, 204, 204, 264, 475, 31, 204, 268, 421, 1152, 443, 31, 334, 8282, 700, 397, 275, 1767, 353, 508, 1392, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1767, 353, 1392, 204, 264, 397, 508, 1767, 31, 204, 268, 407, 443, 204, 204, 264, 314, 977, 275, 8282, 700, 440, 275, 1043, 1103, 302, 275, 1767, 204, 264, 8282, 68, 876, 289, 1767, 64, 21, 66, 204, 264, 314, 1861, 1048, 275, 3022, 302, 275, 1767, 311, 1020, 275, 8282, 700, 204, 264, 348, 771, 292, 1767, 64, 22, 15136, 204, 268, 314, 1716, 275, 8282, 700, 397, 275, 790, 542, 353, 275, 8282, 700, 204, 268, 397, 7448, 68, 4266, 13, 920, 17, 8282, 68, 876, 330, 204, 305, 8282, 68, 876, 289, 771, 204, 204, 264, 407, 8282, 68, 876, 204, 204, 204, 461, 1020, 68, 1129, 68, 876, 13, 2626, 31, 458, 64, 339, 694, 393, 421, 1152, 443, 31, 204, 264, 320, 204, 264, 6746, 275, 1646, 700, 292, 273, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 1152, 443, 31, 334, 1646, 700, 397, 275, 1767, 353, 508, 1392, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 1020, 68, 1549, 6732, 68, 876, 741, 440, 273, 7448, 741, 496, 2584, 959, 397, 275, 1043, 4601, 353, 3114, 1194, 275, 1350, 204, 264, 407, 1020, 68, 1549, 6732, 68, 876, 13, 2626, 17, 4464, 610, 17, 469, 31, 610, 1323, 469, 14, 204, 204, 204, 461, 1020, 68, 885, 68, 876, 13, 2626, 31, 458, 64, 339, 694, 393, 421, 1152, 443, 31, 204, 264, 320, 204, 264, 6746, 275, 2311, 700, 292, 273, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 1152, 443, 31, 334, 2311, 700, 397, 275, 1767, 353, 508, 1392, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 1020, 68, 1549, 6732, 68, 876, 741, 440, 273, 7448, 741, 496, 2584, 959, 397, 275, 1043, 4601, 353, 2202, 1194, 275, 1350, 204, 264, 407, 1020, 68, 1549, 6732, 68, 876, 13, 2626, 17, 4464, 610, 17, 469, 31, 610, 962, 469, 14, 204, 204, 204, 461, 949, 68, 2626, 68, 1303, 13, 2626, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1066, 302, 273, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1066, 302, 275, 1767, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 1066, 741, 311, 949, 275, 1066, 302, 275, 1767, 204, 264, 407, 1066, 13, 2626, 14, 204, 204, 204, 461, 949, 68, 2626, 68, 5670, 13, 2626, 31, 458, 64, 339, 694, 393, 818, 1152, 443, 31, 204, 264, 320, 204, 264, 3989, 275, 2480, 700, 302, 273, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 818, 1152, 443, 31, 334, 2480, 700, 397, 275, 1767, 353, 508, 1392, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1767, 353, 1392, 204, 264, 397, 508, 1767, 31, 204, 268, 407, 443, 204, 264, 314, 888, 275, 2480, 700, 560, 8631, 275, 1066, 302, 275, 1767, 560, 1163, 1277, 204, 264, 407, 949, 68, 2626, 68, 1303, 13, 2626, 14, 802, 1245, 13, 2626, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1767, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 66, 204, 264, 456, 499, 14020, 700, 2180, 1020, 68, 1129, 68, 876, 13, 2626, 602, 204, 264, 456, 499, 14543, 700, 2180, 1020, 68, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 885, 68, 876, 13, 2626, 602, 204, 264, 456, 499, 7279, 2180, 949, 68, 2626, 68, 1303, 13, 2626, 602, 204, 264, 456, 499, 11769, 2180, 949, 68, 2626, 68, 5670, 13, 2626, 602, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 531, 9325, 19, 5232, 532, 4849, 481, 204, 204, 461, 949, 68, 5477, 68, 85, 1309, 13, 25915, 68, 85, 1309, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 888, 275, 1812, 322, 8745, 447, 10138, 14, 284, 18, 1309, 19, 204, 204, 264, 457, 31, 204, 268, 8696, 68, 85, 1309, 322, 1123, 19, 766, 330, 334, 8696, 284, 18, 1309, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 1812, 284, 18, 1309, 19, 204, 264, 320, 204, 264, 314, 888, 275, 4849, 302, 848, 284, 18, 876, 329, 3281, 560, 275, 1113, 542, 302, 284, 18, 1309, 204, 264, 407, 4849, 481, 13, 25915, 68, 85, 1309, 14, 802, 1245, 13, 25915, 68, 85, 1309, 14, 204, 204, 204, 461, 7324, 68, 481, 13, 25915, 68, 85, 1309, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 8254, 275, 424, 348, 15905, 560, 13931, 7152, 440, 275, 5527, 1950, 18, 5306, 700, 19, 204, 204, 264, 457, 31, 204, 268, 8696, 68, 85, 1309, 322, 1123, 19, 766, 330, 334, 8696, 284, 18, 1309, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 1812, 284, 18, 1309, 329, 275, 9750, 8696, 284, 18, 1309, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1812, 284, 18, 1309, 204, 264, 1812, 68, 85, 1309, 289, 949, 68, 5477, 68, 85, 1309, 13, 25915, 68, 85, 1309, 14, 204, 615, 264, 314, 2208, 275, 8696, 284, 18, 1309, 311, 273, 3805, 10665, 348, 9509, 20131, 204, 264, 8696, 68, 85, 1309, 68, 6242, 289, 1246, 19, 4813, 13, 25915, 68, 85, 1309, 14, 204, 615, 264, 314, 778, 397, 1422, 529, 1169, 2962, 284, 18, 1309, 204, 264, 397, 645, 19, 765, 68, 25929, 13, 25915, 68, 85, 1309, 14, 2167, 1245, 13, 25915, 68, 85, 1309, 330, 204, 268, 314, 1752, 275, 5527, 1950, 18, 5306, 284, 18, 876, 204, 268, 5527, 68, 5198, 68, 5306, 289, 8696, 68, 85, 1309, 68, 6242, 64, 25915, 68, 85, 1309, 68, 6242, 2167, 500, 1664, 885, 374, 204, 822, 268, 314, 4546, 2962, 284, 18, 1309, 440, 275, 5527, 1950, 18, 5306, 284, 18, 876, 204, 268, 8696, 68, 85, 1309, 68, 6242, 19, 1229, 64, 25915, 68, 85, 1309, 68, 6242, 564, 500, 66, 289, 5527, 68, 5198, 68, 5306, 204, 615, 264, 407, 1812, 68, 85, 1309, 17, 8696, 68, 85, 1309, 68, 6242, 204, 204, 204, 461, 1807, 68, 85, 876, 68, 22344, 1657, 13, 25915, 68, 85, 1309, 31, 645, 19, 766, 17, 1711, 31, 1513, 19, 16571, 289, 443, 17, 930, 2251, 14, 393, 1513, 19, 16571, 31, 204, 264, 320, 204, 264, 3045, 275, 1812, 9790, 19, 8696, 284, 18, 1309, 19, 204, 204, 264, 457, 31, 204, 268, 8696, 68, 85, 1309, 322, 1123, 19, 766, 330, 334, 8696, 284, 18, 1309, 19, 204, 268, 1711, 322, 14480, 19, 16571, 17, 1448, 330, 334, 3138, 311, 1807, 523, 19, 1243, 311, 443, 19, 204, 268, 930, 2251, 31, 6119, 4541, 1906, 311, 1879, 311, 275, 11250, 1807, 741, 19, 204, 204, 264, 475, 31, 204, 268, 1513, 19, 16571, 31, 334, 3138, 726, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 329, 3138, 397, 11077, 353, 1917, 204, 264, 397, 1711, 353, 443, 31, 204, 268, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 615, 264, 314, 8254, 275, 424, 348, 15905, 204, 264, 1812, 68, 85, 1309, 17, 8696, 68, 85, 1309, 289, 7324, 68, 481, 13, 25915, 68, 85, 1309, 14, 204, 615, 264, 314, 888, 275, 2917, 711, 1003, 302, 275, 284, 18, 1309, 204, 264, 610, 68, 761, 289, 338, 1123, 19, 761, 1003, 13, 5477, 68, 85, 1309, 14, 204, 264, 469, 68, 761, 289, 338, 1123, 19, 761, 1003, 13, 25915, 68, 85, 1309, 14, 204, 615, 264, 314, 3045, 275, 11250, 1807, 204, 264, 1711, 19, 10129, 13, 93, 68, 761, 17, 469, 68, 761, 17, 930, 2251, 14, 204, 615, 264, 314, 4456, 275, 469, 34, 93, 1007, 204, 264, 610, 68, 1735, 17, 610, 68, 1633, 289, 1711, 19, 505, 68, 19436, 374, 204, 264, 1711, 19, 1657, 1568, 21, 17, 610, 68, 1633, 648, 551, 21, 17, 610, 68, 1633, 648, 1848, 833, 8683, 491, 24961, 833, 27780, 1588, 534, 204, 615, 264, 314, 1359, 275, 3138, 1769, 204, 264, 1711, 19, 574, 68, 7246, 611, 11741, 338, 761, 1003, 284, 18, 876, 534, 204, 264, 1711, 19, 574, 68, 7127, 611, 13759, 14917, 338, 761, 1003, 284, 18, 876, 534, 204, 615, 264, 407, 1711, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1400, 284, 18, 1309, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 8696, 68, 85, 1309, 289, 645, 19, 2017, 19, 8745, 13, 21, 17, 368, 17, 1302, 34, 2051, 14, 204, 615, 264, 314, 3045, 275, 284, 18, 876, 1301, 18, 54, 1807, 204, 264, 1711, 289, 1807, 68, 85, 876, 68, 22344, 1657, 13, 25915, 68, 85, 1309, 14, 204, 264, 1513, 19, 2896, 374, 204, 0, 531, 8632, 532, 8204, 204, 531, 1804, 532, 1804, 204, 531, 1498, 532, 1535, 204, 204, 37, 6611, 204, 676, 48931, 31, 204, 264, 320, 204, 264, 2646, 273, 4240, 3062, 440, 1163, 4163, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 4240, 3062, 19, 204, 268, 1666, 322, 325, 330, 334, 1666, 302, 275, 4240, 3062, 19, 204, 268, 752, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 752, 3610, 440, 275, 4240, 3062, 19, 204, 268, 752, 23, 492, 322, 325, 330, 334, 1068, 4989, 497, 275, 752, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 19, 204, 268, 6193, 68, 269, 322, 2664, 330, 334, 1489, 329, 690, 1330, 275, 4240, 3062, 867, 6193, 19, 204, 264, 320, 204, 204, 264, 1724, 31, 394, 204, 264, 1666, 31, 394, 204, 264, 752, 68, 805, 31, 394, 204, 264, 752, 23, 492, 31, 1535, 64, 325, 66, 289, 443, 204, 264, 6193, 68, 269, 31, 1804, 289, 1804, 19, 1520, 374, 204, 204, 264, 436, 589, 2288, 68, 924, 889, 327, 330, 204, 268, 314, 3866, 275, 537, 424, 204, 268, 397, 508, 2381, 13, 327, 19, 1778, 17, 394, 14, 521, 508, 370, 19, 1778, 19, 2892, 1293, 204, 305, 980, 987, 499, 10453, 1631, 444, 273, 1950, 18, 4868, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 2387, 17, 394, 14, 521, 508, 370, 19, 2387, 19, 2892, 1293, 204, 305, 980, 987, 499, 8334, 1631, 444, 273, 1950, 18, 4868, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 935, 68, 805, 17, 394, 14, 521, 508, 370, 19, 935, 68, 805, 19, 2892, 1293, 204, 305, 980, 987, 499, 3873, 1274, 1631, 444, 273, 1950, 18, 4868, 782, 431, 204, 204, 264, 436, 1395, 68, 935, 23, 492, 13, 327, 17, 717, 68, 935, 23, 492, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 752, 23, 492, 3929, 302, 275, 4240, 3062, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 935, 23, 492, 322, 325, 330, 334, 717, 1068, 4989, 497, 275, 752, 19, 204, 268, 320, 204, 268, 314, 3866, 275, 537, 424, 204, 268, 397, 508, 2381, 13, 1957, 68, 935, 23, 492, 17, 394, 330, 204, 305, 980, 987, 499, 3873, 23, 492, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 935, 23, 492, 289, 717, 68, 935, 23, 492, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 4240, 3062, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 4240, 3062, 19, 204, 268, 320, 204, 268, 407, 283, 7, 10453, 31, 463, 327, 19, 1778, 2277, 83, 8334, 31, 463, 327, 19, 2387, 2277, 83, 3873, 1274, 31, 463, 327, 19, 935, 68, 805, 2277, 83, 3873, 23, 492, 31, 463, 327, 19, 935, 23, 492, 2277, 83, 30210, 630, 31, 463, 327, 19, 14928, 68, 269, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3062, 289, 48931, 13, 204, 268, 1724, 1022, 5063, 9582, 9461, 528, 204, 268, 1666, 1022, 1834, 353, 437, 1763, 4240, 3062, 7729, 204, 268, 752, 68, 805, 1022, 3189, 1963, 2569, 19, 1453, 20, 935, 19, 5684, 7, 204, 264, 1179, 204, 264, 456, 13, 5982, 14, 204, 264, 3062, 19, 2045, 68, 935, 23, 492, 499, 5063, 752, 23, 492, 431, 204, 264, 456, 13, 5982, 14, 204, 0, 647, 4541, 204, 204, 461, 353, 68, 1018, 68, 5207, 68, 10145, 13, 768, 68, 1031, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 800, 537, 782, 353, 273, 1097, 4634, 5575, 311, 4847, 677, 15618, 5035, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 537, 782, 353, 273, 1097, 4634, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 782, 353, 273, 1097, 4634, 329, 508, 273, 4541, 204, 264, 314, 334, 353, 10145, 374, 1216, 2584, 959, 397, 275, 782, 353, 273, 1097, 4634, 17, 716, 264, 314, 329, 275, 353, 11415, 374, 741, 5377, 397, 275, 782, 353, 273, 4847, 4541, 204, 264, 407, 537, 68, 1031, 19, 360, 10145, 374, 329, 508, 4541, 19, 360, 11415, 13, 768, 68, 1031, 14, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 394, 31, 204, 264, 320, 204, 264, 3596, 275, 537, 782, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 537, 782, 1917, 560, 275, 575, 19, 204, 264, 320, 204, 264, 314, 13485, 275, 575, 311, 2064, 273, 782, 204, 264, 407, 537, 499, 2101, 273, 782, 311, 1356, 397, 490, 677, 273, 1097, 4847, 4634, 31, 2810, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12609, 275, 2548, 677, 5156, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 537, 782, 497, 275, 575, 204, 268, 537, 68, 1031, 289, 636, 68, 816, 68, 768, 374, 204, 822, 268, 314, 778, 397, 275, 537, 782, 353, 273, 1097, 4634, 204, 268, 397, 353, 68, 1018, 68, 5207, 68, 10145, 13, 768, 68, 1031, 330, 204, 305, 456, 13, 75, 28535, 768, 68, 1031, 2867, 353, 273, 1097, 4847, 4634, 1280, 204, 268, 902, 31, 204, 305, 456, 13, 75, 28535, 768, 68, 1031, 2867, 353, 508, 273, 1097, 4847, 4634, 1280, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1741, 1336, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 19893, 541, 18856, 630, 275, 20339, 11685, 204, 18, 2153, 9923, 10072, 204, 18, 8879, 275, 4446, 34523, 204, 837, 9503, 657, 292, 32177, 13677, 874, 7168, 311, 49018, 496, 19259, 1880, 1741, 444, 5096, 311, 3074, 311, 275, 11685, 19, 3846, 770, 1250, 3480, 311, 10312, 338, 329, 2549, 490, 3472, 273, 13029, 36, 204, 2920, 1784, 872, 5506, 397, 273, 19259, 1874, 24652, 719, 1682, 311, 872, 292, 273, 2147, 36, 204, 1834, 690, 1673, 1324, 17, 7265, 11159, 273, 2752, 11263, 273, 19259, 1064, 13677, 273, 2147, 19, 2474, 867, 5298, 6186, 311, 273, 3221, 10312, 18, 15838, 10198, 4789, 1704, 2941, 292, 10195, 40402, 17, 10224, 17, 329, 5287, 21035, 8408, 16622, 2900, 1169, 11447, 19, 204, 18263, 358, 21152, 291, 17, 275, 3175, 17, 11879, 275, 22525, 28952, 70, 18515, 17604, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 541, 8540, 329, 2080, 83, 2964, 1742, 292, 275, 3175, 677, 9908, 302, 273, 2147, 3522, 11109, 719, 1704, 16256, 652, 10549, 2181, 10407, 1877, 19622, 10787, 10, 302, 1704, 15558, 19, 4161, 808, 18144, 17, 275, 1698, 2086, 566, 8942, 867, 311, 3692, 273, 1012, 2963, 19, 2474, 22904, 2964, 3326, 275, 2147, 23691, 17, 1101, 275, 2752, 11724, 437, 10995, 311, 1895, 13677, 1182, 16863, 329, 7399, 348, 11243, 19, 204, 7, 46, 12119, 6154, 1422, 677, 273, 6273, 302, 31479, 17, 273, 6273, 302, 1880, 292, 275, 19259, 5698, 16482, 1465, 3175, 3275, 10031, 5167, 5366, 21152, 291, 19, 204, 7, 837, 7266, 17, 5202, 273, 3175, 677, 16256, 652, 353, 273, 468, 704, 302, 15690, 19, 1547, 4504, 2545, 5096, 17, 5701, 275, 29945, 311, 1307, 1273, 872, 3480, 311, 1307, 19, 346, 1840, 329, 2147, 21611, 529, 3287, 3576, 302, 273, 7211, 302, 16572, 329, 6323, 2347, 3343, 204, 20359, 7863, 11155, 2964, 3060, 7001, 292, 275, 5481, 17, 754, 2545, 2147, 3275, 618, 8720, 872, 18827, 329, 2549, 14863, 311, 3490, 1702, 448, 27884, 19, 12338, 302, 808, 17, 10031, 618, 1139, 17234, 273, 3060, 14840, 958, 4751, 19259, 1880, 17, 5366, 21152, 291, 19, 388, 2310, 874, 2080, 11234, 496, 1120, 2842, 1307, 685, 329, 4930, 292, 275, 12584, 1250, 1376, 311, 10312, 329, 3638, 275, 7130, 523, 17, 2842, 311, 444, 8944, 275, 11685, 3343, 204, 673, 3175, 3275, 2147, 5018, 273, 5660, 302, 20594, 17, 16127, 17, 24685, 329, 571, 41, 1964, 424, 496, 867, 5508, 311, 874, 1742, 10831, 560, 7265, 677, 904, 10031, 17, 275, 6399, 6738, 7157, 18, 28340, 10342, 451, 15725, 9845, 19, 204, 50, 3901, 291, 17, 3382, 17, 22814, 19259, 1880, 1120, 444, 13677, 292, 1704, 19607, 329, 17, 1877, 23613, 4569, 11834, 35586, 292, 275, 7265, 2147, 17, 5366, 566, 10497, 444, 24643, 5256, 311, 732, 1051, 3303, 397, 490, 2080, 16482, 15007, 19, 204, 12695, 88, 529, 3171, 1182, 297, 1831, 787, 19, 204, 7, 46, 1784, 444, 29194, 397, 292, 275, 1682, 5544, 2181, 1605, 4009, 1120, 5288, 6223, 329, 572, 10497, 444, 37284, 4675, 311, 10312, 5167, 5366, 552, 1623, 27211, 28275, 17, 273, 29280, 20323, 630, 275, 18626, 5946, 10249, 302, 17604, 541, 11988, 17, 329, 1415, 353, 10566, 19259, 19, 204, 673, 6309, 1741, 444, 16907, 292, 1051, 2945, 17, 1101, 1422, 529, 904, 25397, 311, 275, 23102, 302, 19259, 1880, 13677, 338, 27669, 3938, 22417, 329, 904, 7114, 3612, 19, 204, 14002, 869, 1742, 2707, 292, 33645, 299, 275, 3584, 302, 40669, 17, 10224, 329, 17126, 17, 830, 302, 928, 874, 3303, 7568, 9989, 311, 2512, 275, 2907, 302, 32177, 10031, 523, 1017, 16966, 19, 1547, 5409, 2964, 1696, 496, 1880, 440, 15558, 2210, 1120, 15551, 444, 19923, 273, 16256, 652, 17, 7239, 19, 204, 45, 90, 28275, 353, 15502, 1465, 15566, 329, 38363, 19, 204, 7, 3719, 8965, 353, 8033, 292, 437, 17029, 17, 273, 3651, 2545, 2549, 1523, 292, 6509, 302, 275, 2147, 17, 521, 273, 1137, 2549, 5573, 2258, 273, 317, 19815, 17, 329, 275, 6309, 9047, 1784, 508, 2106, 872, 497, 2545, 292, 273, 11478, 5167, 566, 5366, 19, 204, 3837, 1417, 23830, 8546, 365, 272, 13761, 302, 1880, 1415, 618, 2964, 3020, 17, 18282, 292, 273, 9823, 2871, 1647, 81, 467, 1750, 311, 275, 3718, 496, 273, 16017, 1741, 444, 20270, 1873, 523, 1475, 17, 521, 41567, 2075, 496, 754, 76, 1997, 5316, 299, 556, 42241, 18, 823, 7455, 33488, 1741, 874, 1742, 19, 204, 14002, 677, 32177, 10031, 874, 2861, 35341, 6562, 17, 1207, 6172, 329, 8077, 1236, 25250, 19, 1058, 353, 3252, 311, 444, 28135, 1194, 275, 2480, 3175, 19, 204, 837, 76, 6022, 16132, 1570, 17, 437, 22585, 630, 275, 9718, 5499, 1154, 1627, 630, 275, 4639, 302, 19804, 17, 353, 1085, 302, 437, 11315, 3384, 4636, 523, 273, 2147, 496, 1120, 444, 5096, 311, 3074, 275, 16893, 2258, 275, 3175, 440, 7380, 30305, 19, 204, 7, 31676, 1051, 2344, 523, 275, 502, 1511, 872, 7188, 9221, 311, 1307, 497, 332, 311, 565, 19, 332, 3702, 1120, 3891, 523, 1214, 15287, 329, 4627, 17, 379, 46, 2379, 6488, 1273, 382, 3315, 17, 572, 9314, 18202, 808, 16044, 302, 7114, 13401, 302, 2666, 19, 828, 872, 2090, 17, 382, 618, 3074, 1048, 348, 275, 1682, 5106, 82, 10655, 7, 204, 673, 44643, 14986, 6733, 302, 273, 8106, 18, 26369, 756, 5654, 292, 928, 872, 618, 4930, 1818, 329, 1151, 1335, 1782, 2172, 273, 279, 748, 90, 5783, 6484, 523, 275, 2501, 311, 1225, 353, 29879, 275, 26317, 17, 1101, 11155, 2964, 7301, 3671, 311, 6186, 523, 11544, 19, 204, 40, 1840, 496, 618, 770, 5406, 3263, 17, 1702, 448, 3326, 273, 2147, 292, 10935, 781, 1544, 17, 3550, 872, 6204, 19168, 43518, 521, 6545, 18, 5138, 17, 529, 2861, 523, 275, 7114, 521, 1465, 311, 3891, 311, 6223, 39301, 302, 9836, 17, 6720, 331, 3435, 17, 565, 34145, 329, 5261, 19, 204, 11805, 1570, 22814, 1704, 2147, 2549, 17736, 8280, 5288, 275, 2248, 10183, 292, 931, 521, 2153, 2181, 17, 1101, 496, 273, 8106, 19259, 1874, 3848, 23617, 2964, 444, 5096, 311, 10312, 490, 19, 2474, 22814, 23663, 32177, 10031, 2090, 1704, 1120, 1340, 311, 1895, 490, 2237, 348, 1429, 28384, 1320, 311, 444, 26239, 448, 25397, 311, 13677, 19, 204, 7, 673, 7936, 382, 12119, 48025, 299, 353, 496, 4954, 30101, 292, 1214, 1242, 302, 11676, 2549, 13023, 275, 19168, 43518, 348, 1880, 1415, 1020, 8546, 13677, 5362, 5167, 566, 5366, 19, 388, 5009, 1425, 636, 37725, 7151, 292, 10031, 1605, 3054, 754, 275, 3885, 551, 522, 24016, 329, 7103, 66, 1120, 1012, 311, 636, 22260, 3343, 204, 49, 5032, 302, 1880, 1120, 1519, 43154, 496, 8965, 440, 1236, 15558, 1856, 444, 4675, 311, 18943, 273, 7114, 5654, 23691, 19, 21152, 291, 28352, 273, 37492, 1994, 738, 302, 32177, 2048, 1120, 1639, 275, 30268, 348, 19259, 18856, 311, 3472, 21501, 19, 204, 7, 3728, 1120, 11616, 353, 1250, 1120, 508, 636, 21107, 440, 19259, 1880, 13677, 17, 1250, 1120, 636, 21107, 440, 275, 16737, 302, 370, 18, 35197, 10031, 496, 15558, 336, 1880, 1120, 444, 974, 3343, 204, 6031, 1728, 685, 496, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 17, 2219, 397, 490, 1583, 1336, 17, 10031, 3848, 6612, 2964, 444, 275, 2073, 311, 830, 1704, 2501, 18, 42137, 11658, 19, 204, 7, 2841, 1120, 3848, 444, 273, 11447, 5202, 685, 302, 275, 2147, 329, 6154, 1214, 2501, 311, 273, 6509, 11304, 302, 1273, 872, 7188, 32072, 17, 5602, 490, 869, 13979, 336, 5398, 5167, 566, 5366, 19, 0, 18, 7275, 31976, 5933, 19, 204, 40961, 311, 273, 1818, 24075, 20739, 23910, 2482, 5256, 17, 329, 872, 884, 953, 11959, 13290, 1465, 275, 1848, 302, 1017, 15926, 469, 349, 6464, 329, 1662, 3153, 302, 275, 970, 14532, 18, 70, 18, 2663, 9160, 28665, 12207, 25600, 26134, 292, 7448, 19, 3665, 884, 73, 4030, 25842, 2834, 14455, 3550, 375, 25811, 11018, 447, 15738, 469, 349, 6464, 17, 1101, 16945, 874, 6680, 469, 29274, 1848, 17441, 348, 630, 3406, 273, 6129, 19, 4253, 15926, 25498, 874, 1742, 30507, 299, 311, 808, 9767, 348, 1465, 448, 2482, 19, 204, 990, 673, 8475, 20117, 9693, 15738, 469, 349, 6464, 292, 4362, 75, 7166, 884, 12207, 7870, 275, 1324, 17, 329, 275, 12207, 440, 26134, 15738, 469, 349, 6464, 17, 754, 12283, 1193, 523, 275, 6223, 1882, 275, 11660, 5869, 17, 529, 275, 726, 302, 3171, 27364, 17, 8578, 292, 7850, 4412, 10869, 6834, 19, 480, 1841, 94, 17265, 1652, 292, 273, 43497, 4960, 292, 275, 11059, 302, 39435, 32380, 19, 204, 15180, 19, 17265, 1652, 20320, 311, 7260, 275, 7684, 24465, 2670, 1005, 8944, 469, 29274, 1848, 17, 329, 1193, 273, 850, 302, 2147, 363, 13355, 1915, 3250, 610, 23796, 39018, 953, 88, 19, 392, 21042, 1607, 2181, 5287, 17, 17265, 1652, 884, 88, 11144, 353, 3848, 12459, 12308, 19, 204, 11424, 363, 13355, 1915, 529, 37392, 13473, 7758, 14790, 560, 6415, 17, 329, 529, 1698, 2755, 311, 7160, 9271, 8114, 19, 3433, 2255, 275, 5343, 6808, 302, 13916, 332, 17, 329, 1910, 874, 1742, 6680, 311, 874, 39872, 16737, 19, 204, 10757, 276, 2547, 17, 26134, 15926, 469, 349, 6464, 1466, 3667, 4768, 448, 273, 1574, 302, 10443, 83, 580, 5311, 566, 853, 17, 2404, 1901, 6651, 302, 20739, 3117, 918, 2147, 363, 13355, 1915, 19, 3846, 808, 353, 508, 4501, 275, 1322, 19, 592, 1910, 10261, 5899, 17, 5624, 17985, 353, 8978, 273, 1085, 302, 20739, 4182, 19, 13153, 17985, 322, 276, 425, 504, 14, 353, 3264, 292, 2147, 363, 13355, 1915, 17, 329, 566, 853, 496, 7904, 490, 618, 6626, 12207, 440, 469, 349, 6464, 754, 26134, 1250, 884, 272, 7510, 2258, 18, 10049, 17, 15250, 275, 35685, 2545, 2590, 18, 83, 580, 5311, 329, 7831, 19, 204, 3609, 275, 1729, 1948, 17, 11031, 447, 15738, 469, 349, 6464, 529, 508, 11577, 3483, 15366, 19, 30178, 7549, 348, 4109, 469, 29274, 5427, 18862, 560, 3618, 19, 7089, 16945, 10180, 42915, 18043, 469, 349, 6464, 17, 1335, 15926, 7904, 375, 292, 275, 548, 19, 48, 19, 10180, 5805, 273, 4577, 12997, 270, 19, 592, 18461, 17, 12207, 529, 6860, 5575, 311, 275, 1848, 302, 1017, 469, 349, 6464, 17, 440, 10302, 88, 2545, 13018, 311, 448, 357, 464, 342, 355, 953, 884, 90, 37915, 17, 329, 275, 18043, 469, 349, 27632, 12207, 3250, 622, 333, 84, 303, 884, 90, 37915, 19, 204, 673, 412, 9835, 469, 29274, 1848, 16462, 39908, 275, 7081, 1848, 32919, 497, 275, 15875, 1640, 19, 1547, 3192, 2153, 46921, 4558, 275, 10302, 18, 633, 18, 21968, 11651, 17, 329, 353, 275, 7561, 2599, 348, 35073, 329, 13377, 469, 29274, 1848, 19, 47535, 25498, 732, 275, 469, 29274, 1848, 16462, 311, 2962, 292, 523, 329, 6618, 275, 6736, 469, 29274, 1848, 19, 8624, 610, 23796, 39018, 953, 88, 529, 41418, 1376, 311, 5836, 14172, 438, 469, 29274, 1848, 17, 2864, 5080, 352, 929, 8417, 17, 10302, 425, 504, 17, 520, 29949, 1150, 17, 18043, 1464, 961, 17, 30358, 17, 42559, 17, 329, 6168, 269, 633, 11637, 19, 40208, 9856, 17453, 1320, 618, 444, 1182, 10652, 1194, 16428, 10819, 17453, 1320, 17, 1101, 8475, 17441, 348, 4193, 11231, 292, 25683, 874, 12527, 275, 7561, 14814, 523, 4193, 6651, 17, 521, 11576, 15943, 47333, 19, 204, 673, 20131, 302, 469, 29274, 1848, 11155, 884, 89, 2842, 5805, 32149, 560, 3403, 18, 3782, 25498, 19, 13128, 17, 630, 273, 14724, 6223, 292, 22525, 6487, 17, 382, 26791, 23910, 42860, 18867, 1841, 26288, 273, 3868, 302, 12207, 1025, 273, 6893, 6082, 19, 334, 469, 349, 6464, 1466, 273, 39127, 24769, 302, 37200, 18, 747, 19, 204, 990, 46, 2106, 830, 275, 3299, 4720, 556, 371, 496, 5409, 884, 89, 1879, 2077, 16622, 7341, 4412, 18867, 1841, 14450, 19, 1622, 5588, 556, 371, 292, 275, 1242, 496, 884, 88, 19593, 7133, 572, 4182, 490, 311, 2077, 35685, 19, 3433, 7904, 275, 11637, 1043, 17, 1675, 5680, 560, 5680, 1250, 636, 311, 275, 30673, 19, 334, 4884, 36921, 551, 70, 610, 23796, 39018, 953, 1193, 292, 556, 371, 66, 353, 3250, 27633, 1474, 23796, 266, 19, 1785, 2428, 1475, 4720, 556, 371, 12207, 3582, 204, 46, 9453, 7400, 2941, 17, 758, 25957, 273, 4542, 12207, 348, 5287, 7448, 17, 329, 7988, 18168, 2745, 566, 853, 273, 23952, 302, 556, 371, 24280, 329, 6830, 37488, 19, 3242, 872, 618, 3020, 292, 275, 5933, 17, 8551, 440, 1051, 302, 275, 2518, 12207, 17, 490, 10365, 19, 204, 20663, 302, 1662, 7249, 490, 353, 311, 23912, 15926, 469, 29274, 1848, 17, 273, 5411, 392, 12374, 5765, 21742, 496, 9443, 1067, 12207, 560, 1017, 469, 349, 6464, 884, 1848, 1622, 28816, 884, 89, 6721, 872, 10080, 1001, 1465, 1017, 22779, 1666, 19, 3846, 490, 884, 88, 508, 9395, 754, 3277, 19, 8624, 302, 275, 610, 23796, 39018, 953, 88, 4327, 311, 15774, 469, 29274, 1848, 529, 6327, 3094, 348, 872, 17, 1702, 448, 12774, 18, 9063, 7425, 23796, 266, 17, 928, 353, 1855, 273, 46298, 311, 13916, 332, 329, 437, 39872, 17, 329, 13909, 437, 3287, 4263, 292, 12790, 2667, 17, 4751, 904, 8753, 19, 480, 925, 266, 17, 3161, 469, 29274, 18, 20097, 6533, 610, 23796, 39018, 953, 17, 869, 39872, 23007, 448, 2590, 17, 329, 490, 10160, 9289, 292, 275, 36682, 17, 1273, 490, 884, 88, 6183, 311, 6156, 4238, 2523, 18, 5969, 15558, 48944, 19, 204, 20354, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 12207, 302, 2519, 18, 22466, 469, 349, 6464, 841, 2344, 1120, 5190, 273, 5680, 2202, 1194, 1214, 6450, 10290, 17459, 302, 5074, 7203, 8039, 302, 12774, 18, 9063, 7425, 23796, 266, 17, 329, 572, 618, 5257, 496, 397, 275, 566, 853, 496, 20485, 3153, 12207, 1466, 46736, 3101, 302, 12774, 18, 9063, 7425, 23796, 266, 17, 496, 17459, 1784, 5508, 3437, 19, 204, 4259, 2518, 872, 636, 4440, 27098, 1465, 275, 23937, 15520, 302, 11031, 447, 15738, 469, 349, 6464, 17, 2506, 496, 970, 43438, 302, 1101, 4029, 312, 47740, 841, 2699, 1120, 5190, 872, 1182, 1194, 1214, 9433, 17459, 302, 12774, 18, 9063, 7425, 23796, 266, 19, 4596, 2308, 17, 11392, 14859, 874, 1465, 1168, 2314, 2666, 1182, 12774, 18, 9063, 7425, 23796, 266, 1194, 275, 2480, 18, 94, 349, 27632, 15926, 19, 5028, 11421, 302, 724, 1887, 17, 1869, 15589, 17, 869, 18763, 2666, 275, 317, 925, 266, 302, 970, 12207, 19, 204, 14884, 11031, 447, 37392, 336, 469, 349, 6464, 529, 508, 31803, 311, 444, 11864, 28521, 17, 397, 872, 2379, 10080, 630, 830, 1465, 1273, 275, 12207, 292, 2717, 6900, 497, 17, 275, 1848, 302, 275, 469, 29274, 618, 292, 3718, 444, 273, 29716, 1025, 1163, 22779, 1666, 19, 552, 624, 496, 47820, 523, 11031, 42502, 1784, 45117, 7904, 273, 6273, 302, 26633, 329, 5970, 6415, 19, 1058, 8114, 1784, 444, 3101, 302, 2147, 363, 13355, 1915, 17, 2864, 610, 23796, 39018, 953, 88, 17, 329, 26633, 329, 6415, 1895, 348, 273, 7831, 8114, 17, 329, 566, 853, 496, 529, 7831, 329, 874, 2080, 1017, 5233, 302, 23949, 1120, 444, 292, 273, 1502, 311, 406, 2020, 275, 47194, 16415, 292, 1017, 12207, 17, 1335, 566, 853, 496, 529, 22779, 18, 285, 2340, 1462, 1120, 508, 19, 4087, 17, 11018, 469, 349, 6464, 7051, 2549, 444, 273, 1574, 302, 28521, 12207, 17, 6469, 397, 275, 23910, 11155, 884, 89, 45638, 37392, 299, 1475, 19, 204, 44384, 17, 397, 273, 6099, 271, 302, 12207, 308, 8655, 448, 1622, 8382, 18, 2307, 1001, 3192, 26134, 469, 349, 6464, 17, 496, 2549, 1869, 496, 275, 12207, 1466, 7758, 292, 273, 2501, 496, 38630, 12478, 275, 2311, 14741, 311, 39558, 275, 4476, 18, 2307, 1800, 19, 7054, 353, 17, 275, 35685, 1466, 800, 3073, 311, 273, 1722, 438, 17199, 18, 25163, 6528, 302, 30702, 1682, 311, 1017, 16686, 46859, 5323, 273, 4184, 1268, 6285, 302, 7625, 497, 928, 830, 7497, 17, 43223, 7186, 874, 2482, 3522, 1742, 7801, 24915, 19, 592, 808, 1322, 17, 469, 29274, 1848, 618, 444, 1376, 311, 1340, 3822, 397, 273, 8845, 302, 4476, 18, 2307, 12207, 353, 9631, 275, 4372, 5132, 19, 204, 4259, 397, 872, 8402, 2941, 24926, 12207, 497, 275, 2234, 13242, 17, 1698, 311, 12146, 469, 349, 6464, 2467, 4498, 2090, 275, 6747, 497, 1214, 6082, 17, 872, 884, 953, 2379, 3153, 469, 349, 6464, 529, 275, 6414, 302, 273, 23852, 336, 18, 271, 7842, 19, 204, 38, 391, 4024, 59, 17328, 13364, 275, 47259, 911, 307, 323, 756, 23469, 292, 275, 18815, 1837, 19, 332, 2585, 302, 808, 5765, 16001, 292, 21909, 21242, 1652, 292, 11157, 10072, 19, 0, 10215, 292, 9402, 10651, 17, 1910, 302, 451, 6183, 275, 5800, 302, 13999, 18, 1794, 1784, 444, 48184, 560, 275, 1012, 302, 275, 10651, 18, 11215, 3859, 1324, 19, 3846, 448, 275, 10865, 7336, 311, 273, 3671, 17, 8229, 329, 22730, 529, 3848, 4636, 311, 4368, 685, 1662, 311, 33329, 2459, 292, 273, 7399, 1964, 17, 2864, 39255, 13999, 18, 1794, 7543, 27754, 19, 204, 19243, 275, 1012, 302, 275, 5573, 414, 293, 13347, 17, 10726, 1882, 275, 10865, 17720, 496, 2804, 1466, 508, 12454, 497, 275, 10575, 329, 496, 1250, 1466, 16583, 302, 26107, 490, 19, 1765, 1014, 17, 10835, 2804, 17, 25273, 17, 329, 8740, 13320, 2140, 1877, 30125, 273, 7004, 292, 22480, 17, 329, 5074, 1880, 13320, 2140, 1877, 30125, 273, 11575, 7004, 292, 14445, 3217, 24360, 447, 2753, 329, 2019, 2847, 302, 38412, 17, 8866, 19, 334, 4614, 1425, 47340, 1924, 273, 5955, 3859, 292, 33216, 329, 273, 2344, 11331, 292, 12448, 19, 10006, 42123, 17, 10865, 7004, 329, 11975, 15447, 529, 1792, 17, 1101, 1910, 24445, 8732, 1605, 1622, 10675, 18, 88, 603, 2713, 1001, 3780, 11278, 275, 9665, 1429, 6793, 21352, 1025, 2075, 11080, 1330, 12488, 1451, 4440, 9295, 19, 204, 7020, 273, 10290, 6699, 5301, 302, 1759, 1283, 848, 2384, 17, 275, 3671, 23673, 302, 8229, 17, 28814, 17, 329, 904, 12750, 12488, 1895, 13999, 18, 1794, 437, 7510, 794, 2880, 18746, 9071, 19, 2416, 14792, 275, 4190, 302, 26107, 13999, 18, 1794, 17, 1910, 8229, 874, 5163, 336, 348, 6657, 3100, 17, 1425, 3556, 448, 1759, 3100, 19, 204, 4259, 17, 496, 884, 88, 508, 275, 1322, 348, 2589, 3859, 9284, 17, 448, 958, 11239, 311, 275, 23929, 529, 3848, 15131, 14417, 523, 273, 1259, 18, 1424, 18, 1512, 7032, 17, 3667, 440, 848, 9284, 10239, 5008, 1163, 3346, 958, 19, 5424, 275, 8622, 302, 292, 18, 676, 4697, 5798, 292, 6832, 17, 1910, 24445, 329, 31136, 529, 3061, 4498, 719, 348, 275, 10651, 18, 11215, 3859, 1324, 17, 11925, 299, 685, 1662, 1250, 884, 953, 4897, 830, 302, 1017, 2459, 529, 2631, 13999, 18, 1794, 26875, 17, 1662, 1250, 884, 953, 12965, 311, 2140, 2910, 17, 329, 7978, 311, 3161, 21453, 397, 1519, 444, 19, 204, 11594, 4542, 12488, 529, 43901, 22771, 1017, 10651, 18, 11215, 3859, 1324, 11239, 17, 6646, 31188, 618, 3220, 273, 37600, 302, 4764, 311, 1340, 7087, 1017, 2599, 26875, 348, 13999, 18, 1794, 19, 2416, 13887, 292, 275, 3793, 1352, 17, 15739, 13704, 17, 9178, 56, 2619, 17, 2241, 515, 9871, 15782, 437, 1918, 640, 545, 458, 302, 4764, 496, 529, 10178, 4476, 311, 35185, 17, 2013, 17, 329, 732, 19, 204, 17550, 490, 867, 4199, 275, 33677, 23929, 11724, 1236, 9649, 302, 16663, 17, 22730, 329, 8229, 6646, 31188, 6911, 15858, 8442, 1662, 17, 6488, 17, 1250, 1466, 6186, 311, 304, 3664, 8820, 292, 275, 5573, 19, 8879, 19552, 13999, 1781, 6971, 329, 14817, 7506, 440, 904, 11975, 12488, 311, 16780, 7110, 7355, 348, 15322, 329, 13838, 1093, 18, 77, 912, 7265, 27189, 17, 7355, 18081, 1466, 12637, 1236, 10581, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 15241, 343, 336, 17, 521, 12063, 17, 1236, 2139, 794, 36197, 19, 204, 4259, 490, 884, 88, 508, 13765, 273, 8608, 302, 1483, 32, 490, 884, 88, 275, 1983, 43334, 516, 302, 13492, 719, 440, 830, 302, 490, 1335, 1425, 12111, 1924, 275, 1901, 6793, 1483, 19, 204, 990, 673, 26069, 302, 1483, 3714, 353, 273, 9056, 4412, 5366, 19963, 302, 35404, 14628, 630, 275, 4639, 302, 48057, 17, 34864, 2135, 403, 864, 19, 1622, 673, 1666, 353, 508, 7051, 273, 1844, 32, 490, 353, 1182, 275, 23447, 440, 928, 9231, 529, 5096, 311, 3550, 719, 3582, 204, 18365, 1910, 7355, 18081, 17, 2135, 403, 864, 7117, 311, 275, 2150, 311, 1020, 2986, 302, 13492, 2459, 329, 8740, 7399, 1924, 275, 304, 30207, 19, 5860, 302, 275, 2765, 4764, 2255, 275, 31, 204, 18, 9755, 12496, 302, 35404, 4560, 13822, 204, 18, 9755, 12496, 302, 16140, 354, 7422, 3431, 16808, 9657, 2596, 2471, 204, 18, 4719, 12360, 348, 31458, 15874, 204, 18, 9755, 12496, 302, 25716, 88, 302, 35241, 24572, 204, 18, 4719, 13631, 523, 10959, 204, 18, 9178, 56, 2619, 9469, 18, 633, 18, 7975, 45597, 2668, 19, 204, 837, 24712, 440, 1704, 3346, 3793, 17, 2135, 403, 864, 1425, 43374, 7506, 440, 904, 22730, 17, 974, 275, 2550, 7268, 2315, 11998, 24681, 1291, 13999, 18, 1794, 22880, 2656, 18637, 8540, 311, 6635, 2765, 11845, 19, 204, 1449, 636, 273, 14392, 2909, 630, 2075, 884, 88, 6999, 523, 275, 9469, 18, 633, 18, 7975, 45597, 2668, 17, 9178, 56, 2619, 6167, 2077, 958, 7922, 4764, 1025, 3420, 5981, 31, 204, 18, 44821, 9134, 204, 18, 21151, 14628, 14354, 19458, 204, 18, 1594, 41088, 329, 13999, 18, 1794, 10457, 358, 27825, 204, 18, 36610, 18054, 88, 17, 313, 27382, 17, 329, 3844, 3710, 204, 53, 43334, 1165, 31, 16156, 884, 88, 30829, 18646, 12597, 1424, 12496, 204, 673, 16156, 884, 88, 30829, 18646, 12597, 1424, 12496, 884, 88, 322, 60, 6384, 5369, 14, 13999, 18, 1794, 5082, 17259, 311, 1622, 28824, 447, 407, 311, 37646, 3356, 1424, 4801, 292, 273, 29738, 336, 1883, 496, 5178, 1025, 1747, 275, 5800, 302, 275, 10575, 329, 275, 14334, 302, 7155, 15278, 311, 19041, 275, 10575, 3582, 332, 3859, 521, 12347, 353, 28293, 508, 275, 1729, 448, 273, 16813, 299, 1643, 19, 3355, 17, 595, 6384, 5369, 27619, 437, 15548, 3188, 302, 7058, 329, 575, 18, 10871, 37278, 440, 275, 5328, 329, 3440, 302, 1163, 17259, 19, 1547, 2048, 10810, 19609, 375, 329, 12356, 8913, 2075, 24223, 275, 1682, 29738, 521, 304, 2256, 311, 275, 3090, 29738, 19, 204, 39175, 14628, 14354, 19458, 204, 17345, 12360, 348, 31458, 15874, 322, 38, 22775, 14, 204, 3719, 872, 884, 272, 7595, 348, 273, 9064, 2052, 311, 29909, 1214, 6160, 26069, 3478, 17, 6321, 275, 4719, 12360, 348, 31458, 15874, 884, 88, 19496, 6046, 13609, 36247, 19, 29118, 17, 808, 8029, 353, 16863, 311, 1950, 18, 9622, 302, 275, 332, 22775, 17, 754, 444, 6430, 311, 5790, 560, 1335, 490, 884, 88, 32495, 2755, 19, 1547, 11857, 275, 5544, 6793, 11956, 5376, 3214, 1945, 311, 1308, 273, 6556, 15363, 348, 5343, 273, 26069, 3478, 31, 204, 18, 13433, 11937, 3423, 204, 18, 3055, 21151, 42858, 1320, 204, 18, 40875, 19496, 33274, 11865, 204, 18, 31758, 523, 8201, 46095, 46957, 204, 18, 42428, 360, 14628, 329, 4899, 11582, 11699, 204, 43421, 853, 40260, 8540, 348, 7065, 15874, 204, 39175, 26758, 618, 9535, 11975, 12488, 292, 26803, 275, 11872, 302, 25125, 12929, 1330, 1250, 304, 3664, 448, 2590, 448, 275, 3836, 3566, 2667, 15298, 397, 12929, 3459, 19, 1058, 3966, 618, 1340, 7260, 11845, 496, 1741, 722, 292, 26129, 4190, 329, 23106, 496, 1741, 5695, 4190, 1924, 15445, 329, 40189, 7935, 19, 204, 17111, 375, 348, 17561, 11920, 322, 43305, 14, 204, 673, 27371, 3629, 273, 2745, 47876, 302, 1483, 348, 11975, 31287, 497, 5052, 4764, 329, 12989, 311, 34248, 45092, 329, 7110, 3986, 21206, 19, 12412, 6973, 6018, 19311, 348, 14906, 311, 1340, 6156, 2459, 329, 8740, 329, 7353, 275, 6813, 302, 13999, 18, 1794, 19, 204, 989, 41088, 2343, 13999, 18, 1794, 10457, 358, 27825, 204, 837, 1552, 348, 11975, 12488, 311, 1340, 3550, 1017, 2459, 329, 8740, 7399, 17, 1250, 1519, 10205, 17, 40798, 17, 13129, 18, 2201, 1483, 523, 1662, 1910, 14714, 2910, 302, 13999, 18, 1794, 1422, 529, 292, 275, 4549, 14044, 1017, 7004, 5792, 329, 8229, 19, 13472, 302, 25832, 35972, 299, 15287, 88, 17, 7355, 13935, 329, 31287, 618, 2106, 7777, 329, 5495, 13999, 18, 481, 830, 292, 1051, 2481, 31, 32768, 2204, 1204, 19, 748, 19, 204, 25741, 33433, 13631, 204, 16231, 560, 273, 6043, 4610, 7355, 45172, 329, 1704, 3384, 17, 808, 2556, 618, 444, 1376, 348, 8229, 329, 22730, 496, 529, 1428, 3987, 1025, 304, 30207, 19, 334, 13631, 884, 88, 455, 311, 16676, 21151, 3746, 353, 273, 2318, 18, 834, 1622, 17479, 1001, 33618, 424, 497, 6901, 40260, 13999, 18, 1794, 424, 17, 275, 8540, 348, 17561, 11920, 17, 275, 5179, 7065, 16473, 17, 329, 904, 6651, 19, 204, 673, 15874, 33433, 13631, 1425, 6193, 273, 15964, 458, 302, 2153, 896, 24998, 7935, 348, 13999, 18, 1794, 4190, 18856, 329, 9039, 7355, 958, 7935, 348, 13999, 18, 1794, 7355, 958, 19, 204, 29769, 18054, 88, 17, 313, 27382, 17, 521, 3844, 3710, 204, 10936, 39028, 3185, 58, 7001, 273, 13999, 18, 1794, 11666, 8029, 329, 370, 18, 37973, 348, 5092, 5798, 19, 1547, 884, 88, 7784, 311, 444, 273, 12212, 11666, 5910, 311, 1340, 14906, 292, 970, 3942, 31, 204, 18, 334, 8029, 25803, 3420, 6837, 3888, 311, 3822, 397, 1214, 9463, 353, 9750, 311, 304, 3664, 348, 848, 4376, 13999, 18, 1794, 3844, 3710, 19, 204, 18, 334, 8029, 353, 16398, 1025, 16675, 17, 4393, 18, 14213, 17, 329, 14064, 1225, 6621, 311, 2886, 15964, 11666, 11160, 5229, 4109, 31558, 4119, 19, 204, 673, 8029, 329, 370, 18, 37973, 1425, 918, 5444, 311, 17259, 17, 4764, 17, 329, 5632, 9337, 311, 11965, 31558, 11666, 5395, 19, 204, 37683, 46167, 14628, 12496, 204, 2841, 11155, 884, 89, 273, 4362, 18745, 419, 13267, 884, 3979, 311, 6886, 13999, 18, 1794, 19, 3355, 17, 808, 8029, 560, 275, 9755, 46167, 14628, 12496, 0 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 456, 68, 834, 68, 7426, 13, 4936, 31, 421, 17, 3658, 31, 421, 17, 4112, 31, 421, 17, 3331, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 800, 690, 4099, 292, 273, 3651, 18, 13821, 1883, 19, 204, 204, 264, 457, 31, 204, 268, 3054, 322, 339, 330, 334, 542, 302, 3054, 19, 204, 268, 3658, 322, 339, 330, 334, 542, 302, 3658, 19, 204, 268, 4112, 322, 339, 330, 334, 542, 302, 4112, 19, 204, 268, 3331, 322, 339, 330, 334, 542, 302, 3331, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 690, 4099, 292, 273, 3651, 18, 13821, 1883, 204, 264, 456, 13, 75, 1954, 4936, 98, 506, 402, 17, 463, 8618, 98, 4057, 402, 17, 463, 10530, 98, 1006, 312, 865, 318, 463, 6821, 98, 20609, 817, 865, 1280, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 542, 302, 3331, 497, 275, 575, 204, 264, 1113, 68, 6821, 289, 636, 68, 6418, 68, 4649, 68, 768, 499, 31176, 6972, 17, 23690, 2245, 287, 15692, 355, 20609, 817, 865, 9679, 355, 277, 8000, 15171, 31, 2810, 204, 264, 314, 2208, 275, 3331, 311, 690, 4099, 204, 264, 3054, 17, 3658, 17, 4112, 17, 3331, 289, 1814, 68, 6821, 68, 633, 68, 834, 68, 7426, 13, 2609, 68, 6821, 14, 204, 264, 314, 1198, 275, 722, 204, 264, 456, 68, 834, 68, 7426, 13, 4936, 17, 3658, 17, 4112, 17, 3331, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 5399, 353, 275, 5872, 18, 398, 2585, 302, 275, 1068, 17, 18191, 523, 275, 667, 1666, 329, 7057, 8557, 3576, 31, 204, 204, 777, 53, 34971, 25385, 35956, 777, 204, 204, 5681, 572, 529, 1048, 9553, 1693, 440, 273, 12168, 8001, 1922, 292, 273, 571, 18, 4386, 3245, 17, 382, 4006, 2964, 4030, 572, 6356, 636, 15575, 719, 560, 16449, 3667, 5256, 19, 204, 204, 18696, 872, 308, 2429, 897, 299, 521, 42703, 1780, 348, 700, 36, 204, 204, 5009, 1519, 311, 5500, 273, 3542, 571, 21033, 933, 496, 3192, 275, 2765, 17, 1101, 508, 830, 17, 302, 1214, 571, 39, 465, 10244, 628, 1338, 53, 933, 19, 204, 204, 5009, 618, 6024, 1214, 678, 18, 75, 1927, 6684, 25914, 1895, 490, 19486, 14, 560, 10974, 571, 39, 18, 276, 18, 7951, 497, 830, 4738, 827, 565, 57, 51, 329, 45969, 292, 2223, 753, 486, 7694, 19, 4253, 2219, 523, 565, 57, 51, 17, 1422, 677, 508, 3171, 311, 6061, 497, 5701, 273, 10244, 1693, 933, 440, 808, 753, 486, 19, 204, 204, 777, 9658, 3046, 20140, 329, 415, 936, 777, 204, 204, 9658, 3046, 20140, 353, 275, 1901, 48732, 11355, 685, 1422, 1629, 3303, 19, 1547, 33520, 678, 18, 75, 1927, 329, 1722, 18, 75, 1927, 17, 8534, 4386, 329, 552, 58, 17, 329, 392, 49, 4687, 20, 53, 2863, 20, 53, 2863, 29, 19, 1547, 677, 3332, 4315, 275, 2297, 302, 415, 936, 18022, 17, 329, 273, 5680, 1182, 15434, 1194, 415, 936, 1158, 322, 9798, 353, 275, 1729, 448, 415, 936, 18022, 17, 13576, 678, 18, 75, 1927, 8565, 789, 204, 204, 53, 936, 353, 275, 2599, 348, 552, 58, 8565, 678, 18, 75, 1927, 329, 1722, 18, 75, 1927, 17, 1101, 1877, 4636, 273, 6273, 440, 5973, 3046, 17, 382, 4030, 5973, 3046, 353, 8926, 1182, 7562, 19, 204, 204, 777, 53, 2863, 13716, 1387, 777, 204, 204, 673, 415, 2863, 46773, 874, 2842, 17066, 523, 275, 8328, 17, 329, 1250, 1120, 2652, 275, 2501, 275, 1470, 353, 15101, 322, 5705, 396, 8084, 292, 273, 14079, 2501, 789, 334, 415, 47, 10207, 1120, 3472, 2599, 7807, 348, 3153, 1415, 732, 275, 2548, 17, 754, 5566, 508, 732, 273, 11355, 311, 1895, 1475, 448, 3094, 448, 1250, 618, 444, 19, 204, 204, 53, 2863, 6094, 72, 353, 437, 24328, 6506, 329, 933, 34637, 348, 415, 2863, 19, 2935, 353, 11695, 1465, 490, 353, 496, 490, 9111, 933, 9790, 933, 24328, 928, 6999, 24328, 348, 2589, 2875, 1922, 292, 275, 933, 19, 1058, 5994, 523, 678, 18, 75, 1927, 17, 283, 1927, 17, 3638, 17, 329, 10469, 19, 1547, 677, 3870, 2900, 1169, 38468, 338, 275, 1563, 529, 4710, 19, 204, 204, 777, 53, 3484, 1927, 25385, 777, 204, 204, 53, 3484, 1927, 6684, 279, 1777, 23814, 353, 15502, 440, 678, 18, 75, 1927, 22887, 329, 6740, 19, 1785, 4006, 2964, 1519, 275, 1722, 18, 75, 1927, 2192, 311, 444, 21070, 9900, 292, 1552, 311, 21402, 630, 4789, 18, 23012, 678, 18, 75, 1927, 10207, 19, 204, 204, 12124, 10769, 348, 808, 31, 204, 204, 22, 19, 2680, 18, 75, 1927, 22887, 88, 529, 508, 3060, 13515, 311, 18750, 292, 1722, 18, 75, 1927, 6684, 204, 23, 19, 7252, 42033, 353, 2077, 6914, 204, 204, 3070, 273, 4946, 1273, 572, 874, 2745, 391, 10340, 302, 908, 6651, 292, 275, 570, 17, 1910, 302, 1475, 1120, 13668, 848, 904, 17, 329, 275, 1563, 572, 529, 1877, 322, 603, 18, 75, 1927, 22887, 88, 329, 6740, 14, 618, 636, 3060, 10205, 17, 2219, 397, 572, 618, 2964, 2616, 311, 11015, 7548, 329, 572, 3848, 874, 1910, 2637, 2744, 1824, 292, 275, 1722, 18, 75, 1927, 1085, 302, 275, 2192, 19, 204, 204, 777, 44, 4403, 8406, 777, 204, 204, 44, 4403, 22887, 322, 59, 362, 5183, 14, 289, 571, 20, 25, 3245, 289, 686, 3534, 204, 44, 4403, 22887, 322, 45556, 14, 289, 368, 20, 25, 3245, 289, 686, 1511, 204, 204, 673, 2061, 440, 275, 32654, 933, 1120, 5656, 1182, 22887, 19, 204, 204, 3609, 275, 4790, 302, 437, 8819, 6684, 17, 1330, 628, 362, 5183, 355, 2925, 675, 497, 501, 4403, 560, 1048, 71, 2429, 897, 299, 17, 566, 618, 508, 6061, 22887, 1330, 27463, 29261, 523, 275, 8819, 14101, 6684, 19, 0, 23438, 12789, 334, 17078, 791, 336, 884, 88, 4338, 9635, 19155, 17994, 3196, 17, 382, 6635, 5319, 273, 17555, 37407, 497, 28915, 392, 349, 291, 884, 88, 4410, 33914, 32056, 2016, 11297, 19054, 24596, 19, 204, 1834, 37407, 353, 24155, 560, 2388, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 497, 412, 1239, 80, 552, 17815, 329, 20225, 360, 31130, 387, 779, 84, 23163, 677, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 17, 273, 3506, 5914, 329, 40244, 10346, 1465, 275, 3307, 302, 11297, 448, 10571, 560, 30536, 290, 17, 275, 6695, 16657, 302, 871, 4115, 354, 17, 1415, 353, 7514, 497, 5741, 560, 11297, 19, 361, 14660, 472, 78, 27709, 27559, 11297, 19, 204, 13, 1449, 1012, 630, 275, 7830, 302, 808, 3196, 17, 4974, 3237, 6268, 204, 3837, 867, 275, 27456, 2617, 2617, 2617, 1415, 12894, 311, 10353, 11297, 19, 2266, 1250, 2080, 1193, 685, 1465, 11297, 7105, 329, 12894, 437, 4372, 1912, 17, 521, 3855, 1250, 1466, 10571, 1465, 3850, 560, 10143, 1257, 696, 402, 1877, 275, 26446, 270, 657, 302, 275, 26005, 17, 6786, 31756, 19, 7054, 1250, 1856, 874, 12894, 311, 10353, 11297, 353, 8106, 292, 24699, 440, 275, 3556, 4643, 302, 415, 29529, 329, 904, 426, 712, 2471, 19, 3433, 16356, 830, 31179, 3450, 329, 3836, 25117, 1257, 11090, 19, 204, 673, 12464, 17943, 17, 348, 18000, 10769, 17, 13503, 311, 1020, 11297, 329, 1922, 3850, 1048, 311, 415, 29529, 19, 334, 7417, 354, 344, 928, 572, 1631, 1895, 4238, 1475, 353, 496, 1250, 48798, 336, 11297, 19, 2416, 1922, 1048, 329, 311, 48798, 529, 275, 1729, 1142, 292, 12509, 31, 28472, 14836, 365, 78, 322, 50, 80, 7207, 709, 87, 32, 931, 31, 3268, 17, 9131, 709, 87, 32, 2905, 31, 7879, 709, 32, 2153, 31, 22, 709, 32, 39750, 5789, 31, 23, 32, 871, 83, 1433, 31, 1641, 32, 41214, 1168, 31, 8532, 789, 3065, 1466, 8405, 970, 48798, 1493, 31, 19725, 402, 48798, 336, 3850, 322, 38417, 3850, 1048, 14, 311, 275, 12464, 17943, 329, 1250, 292, 3638, 48798, 336, 3850, 322, 38417, 3850, 1048, 14, 311, 275, 27456, 322, 50, 80, 931, 31, 3268, 4154, 5091, 709, 87, 789, 2474, 867, 1675, 14996, 329, 4094, 73, 311, 5741, 560, 273, 8517, 11603, 19, 204, 673, 1901, 24003, 7936, 1465, 275, 9397, 5398, 17, 275, 1051, 7936, 1465, 928, 572, 618, 444, 23055, 4153, 329, 7301, 275, 1051, 7936, 496, 353, 12283, 42103, 17, 353, 496, 11297, 3756, 508, 22860, 10566, 19, 40729, 830, 275, 42861, 17, 1236, 7597, 1415, 32225, 3850, 521, 2075, 1250, 32225, 3850, 302, 17, 11297, 14893, 25156, 322, 50, 80, 2905, 31, 2682, 4154, 10128, 32, 2153, 31, 25, 4154, 26, 32, 39750, 5789, 31, 8867, 4154, 9162, 32, 5254, 31, 1258, 17, 2905, 32, 480, 80, 5773, 31, 30, 789, 828, 329, 1330, 566, 3756, 6293, 17, 490, 867, 1698, 292, 1552, 311, 444, 1950, 18, 4827, 972, 329, 292, 2620, 311, 36656, 311, 5190, 437, 2073, 31, 1622, 3837, 353, 872, 1415, 4627, 490, 1001, 322, 50, 80, 2153, 31, 23, 32, 39750, 5789, 31, 2562, 32, 5254, 31, 1641, 32, 480, 80, 5436, 31, 3894, 32, 5773, 31, 24, 14, 329, 1622, 3719, 382, 6721, 872, 17, 872, 1120, 508, 8732, 479, 329, 397, 382, 2717, 872, 17, 872, 1120, 508, 2073, 1001, 322, 49, 80, 5436, 31, 5645, 32, 3020, 1425, 1199, 31, 29, 32, 871, 83, 1916, 31, 1036, 4154, 3699, 789, 334, 22437, 17, 928, 867, 11352, 560, 275, 43705, 18967, 521, 1017, 6651, 292, 1552, 311, 5190, 2231, 311, 275, 3633, 1283, 11297, 329, 1704, 35227, 17, 1856, 508, 38575, 562, 1017, 3346, 14824, 4818, 302, 275, 10942, 31, 1622, 6031, 14266, 1236, 11802, 311, 1169, 302, 275, 14736, 1001, 322, 50, 89, 5254, 31, 2300, 789, 204, 673, 16688, 38610, 292, 27833, 21893, 14098, 31, 28, 867, 25156, 2518, 1704, 7417, 4162, 2317, 2090, 273, 28615, 2518, 1163, 19970, 375, 19, 1547, 2950, 444, 22617, 497, 808, 496, 275, 43705, 18967, 521, 1017, 6651, 25811, 275, 6733, 302, 11297, 884, 27702, 292, 1552, 311, 917, 685, 496, 11297, 867, 275, 16688, 38610, 19, 791, 12048, 25156, 2518, 1704, 7417, 4162, 353, 6488, 2075, 572, 4230, 7523, 11297, 311, 770, 19, 2474, 2080, 25853, 21970, 311, 6626, 9649, 497, 24021, 32, 566, 2080, 6202, 22617, 497, 13704, 32, 566, 2080, 21970, 311, 2073, 3888, 1465, 1704, 3346, 13704, 32, 329, 3303, 566, 21970, 311, 22860, 521, 26528, 1704, 6137, 19, 204, 837, 904, 2159, 17, 11297, 24866, 1422, 2900, 273, 1142, 17, 17140, 11243, 902, 311, 275, 683, 19, 334, 7180, 302, 275, 7597, 353, 496, 490, 867, 508, 11297, 1415, 867, 523, 9397, 19, 7953, 48798, 375, 329, 7417, 4162, 1466, 523, 9397, 2518, 3850, 19, 7953, 27702, 23665, 1153, 17, 43452, 17, 46423, 329, 13320, 1475, 19, 12412, 2159, 1466, 12098, 1818, 630, 1475, 329, 1250, 46988, 7105, 685, 302, 1017, 3346, 11484, 88, 19, 204, 4154, 28915, 392, 349, 291, 204, 47, 45005, 19054, 24596, 204, 47, 45005, 19054, 24596, 204, 24049, 31, 1200, 3919, 497, 275, 8025, 10346, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 19, 204, 60, 17671, 12971, 502, 43515, 31, 204, 837, 437, 7214, 311, 8402, 273, 1792, 5765, 39049, 2746, 2617, 2617, 2617, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 14589, 275, 302, 89, 18, 89, 929, 29368, 5765, 302, 11297, 322, 55, 14660, 472, 78, 27709, 14, 9328, 1704, 551, 19450, 66, 329, 47776, 17, 1924, 275, 2913, 6712, 5765, 302, 30536, 290, 17, 275, 6695, 17154, 1415, 353, 5741, 447, 5570, 3119, 2830, 9217, 17, 871, 4115, 354, 322, 39538, 552, 11784, 14, 30678, 11297, 12, 1340, 19, 1346, 7214, 869, 1742, 2927, 292, 275, 3467, 311, 3113, 275, 5765, 292, 275, 4188, 466, 274, 302, 3099, 17, 440, 2724, 16637, 292, 794, 32221, 27435, 5589, 17, 440, 5680, 521, 1236, 3714, 868, 33458, 3610, 440, 1901, 10641, 4892, 1154, 19, 14377, 2643, 6965, 311, 444, 5210, 302, 275, 10346, 17, 440, 275, 23138, 26274, 11057, 32154, 448, 15087, 448, 2237, 523, 275, 2641, 3651, 798, 17, 329, 1017, 22437, 5052, 292, 437, 7249, 329, 16863, 6060, 19, 204, 19, 2617, 2617, 3065, 677, 2617, 2617, 2617, 5256, 292, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 311, 1895, 490, 9631, 1214, 1335, 311, 1356, 685, 808, 29368, 19, 334, 23138, 26274, 1352, 17, 9504, 28895, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 448, 28263, 448, 275, 31188, 1784, 874, 872, 8732, 17, 353, 7572, 8084, 18812, 292, 275, 5348, 18, 5321, 18, 4995, 4812, 14760, 6330, 329, 16017, 299, 24969, 496, 21757, 1475, 497, 904, 23138, 26274, 22812, 19, 3433, 1741, 444, 14760, 3391, 719, 1422, 523, 275, 3645, 17, 1101, 275, 4812, 35882, 1475, 2090, 5348, 588, 21475, 292, 273, 5348, 18, 15883, 10346, 17, 754, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 869, 273, 2318, 2643, 302, 4812, 6438, 496, 9211, 273, 2482, 2501, 8206, 13492, 2077, 3205, 19, 334, 2092, 11709, 23373, 17, 448, 2590, 17, 529, 357, 11182, 1399, 311, 2909, 630, 17, 329, 529, 10290, 15250, 1017, 4785, 1890, 16491, 19, 4253, 6666, 17, 19733, 872, 7188, 2842, 30015, 302, 22052, 275, 1729, 29368, 10338, 2617, 2617, 2617, 334, 502, 11162, 1478, 502, 8203, 31, 334, 22454, 302, 11297, 2842, 4230, 444, 275, 717, 29368, 1724, 496, 1065, 4451, 1214, 4316, 677, 3205, 808, 7751, 19, 204, 51, 8541, 31, 4253, 2935, 302, 2315, 298, 11581, 36, 204, 3070, 334, 17078, 791, 336, 884, 88, 9300, 19155, 17994, 3196, 322, 12143, 1546, 432, 3078, 15427, 497, 25531, 8705, 5721, 884, 88, 2016, 22412, 302, 4560, 31, 334, 5672, 274, 787, 2621, 311, 5936, 659, 3020, 31, 204, 47, 45005, 31, 2621, 18, 39, 351, 7144, 302, 48508, 29453, 204, 673, 35795, 5936, 204, 5842, 23016, 323, 44760, 912, 5393, 5102, 204, 5842, 8710, 92, 4717, 6712, 10209, 302, 29386, 204, 673, 9496, 412, 6919, 1399, 39079, 302, 791, 14118, 204, 1823, 298, 11581, 31, 42432, 23393, 17, 16934, 5509, 329, 5610, 34577, 334, 9046, 4385, 6402, 204, 673, 17003, 4432, 5936, 31, 35178, 17, 964, 419, 17, 28355, 17, 45332, 329, 313, 2581, 14949, 204, 3070, 334, 17078, 791, 336, 884, 88, 10599, 19155, 17994, 3196, 322, 12143, 1546, 275, 28136, 302, 28168, 565, 10387, 366, 619, 329, 275, 29155, 302, 6856, 21286, 565, 4563, 17, 12424, 329, 33259, 31098, 13153, 1885, 17, 6901, 27311, 323, 14258, 291, 17, 25531, 8705, 5721, 17, 15571, 4318, 71, 17, 3311, 26110, 650, 1644, 410, 17, 548, 530, 39122, 486, 18, 6031, 466, 16205, 329, 4694, 1862, 23644, 33575, 3762, 659, 3020, 31, 204, 673, 4694, 757, 302, 5936, 322, 8837, 368, 14, 2317, 11297, 9200, 375, 275, 8187, 204, 673, 4694, 757, 302, 5936, 322, 8837, 435, 14, 2317, 11297, 46159, 1405, 10932, 275, 23311, 1407, 20553, 204, 673, 4694, 757, 302, 5936, 322, 8837, 571, 14, 2317, 14431, 387, 5231, 204, 673, 4694, 757, 302, 5936, 322, 8837, 681, 14, 2317, 11297, 415, 20510, 2439, 389, 204, 673, 4694, 757, 302, 5936, 322, 8837, 720, 14, 2317, 11297, 19054, 275, 11988, 204, 673, 4694, 757, 302, 5936, 322, 8837, 887, 14, 2317, 11297, 19054, 275, 13716, 43689, 204, 673, 4694, 757, 302, 5936, 322, 8837, 1168, 14, 2317, 11297, 5389, 301, 311, 7953, 41463, 204, 673, 4694, 757, 302, 5936, 322, 8837, 1132, 14, 2317, 11297, 353, 8249, 2096, 275, 14258, 204, 673, 4694, 757, 302, 5936, 322, 8837, 1233, 14, 2317, 11297, 412, 543, 204, 673, 4694, 757, 302, 5936, 322, 8837, 931, 14, 2317, 11297, 20462, 275, 31969, 204, 673, 4694, 757, 302, 5936, 322, 8837, 2958, 14, 2317, 11297, 46551, 1840, 311, 12254, 204, 673, 4694, 757, 302, 5936, 322, 8837, 1598, 14, 2317, 11297, 46551, 1840, 311, 7953, 41371, 204, 16014, 1425, 275, 3090, 17078, 791, 336, 7215, 31, 204, 13084, 11297, 353, 5672, 4560, 204, 47, 45005, 29814, 273, 387, 2320, 94, 204, 673, 388, 45986, 501, 1678, 3159, 7, 302, 11297, 12, 12125, 281, 24797, 204, 47, 45005, 17, 26500, 329, 9554, 204, 47, 45005, 329, 21354, 27995, 15153, 204, 47, 45005, 329, 275, 5045, 298, 288, 322, 8837, 368, 14, 204, 47, 45005, 329, 275, 5045, 298, 288, 322, 8837, 435, 14, 204, 1252, 3624, 9212, 273, 36141, 7387, 94, 11297, 322, 416, 273, 412, 1286, 14213, 334, 6531, 14, 204, 5681, 7739, 27020, 353, 275, 11912, 302, 46612, 793, 2368, 204, 26053, 329, 31460, 38890, 0, 647, 2010, 448, 645, 204, 647, 1400, 448, 32556, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 4378, 19, 14535, 532, 15608, 9807, 204, 204, 8, 4861, 329, 2072, 204, 676, 18676, 7554, 31, 204, 264, 320, 22996, 3454, 329, 2072, 1279, 204, 264, 32071, 68, 4284, 38884, 289, 13777, 204, 264, 33636, 3285, 23604, 68, 20221, 289, 720, 226, 314, 724, 6092, 204, 264, 35396, 56, 20873, 4380, 68, 30100, 289, 368, 19, 47596, 802, 3861, 226, 314, 5437, 20, 88, 393, 724, 6092, 20, 7061, 87, 204, 264, 565, 10042, 1000, 3225, 68, 43057, 289, 322, 21, 19, 26, 802, 887, 14, 540, 681, 19, 35482, 2188, 1845, 2314, 540, 931, 930, 1598, 226, 314, 502, 68, 84, 204, 264, 8438, 68, 39, 10042, 1000, 68, 13660, 35943, 289, 887, 19, 3894, 2500, 6655, 27, 6913, 540, 931, 930, 1132, 226, 314, 502, 68, 84, 802, 724, 6092, 67, 24, 204, 264, 8438, 68, 41083, 289, 32011, 540, 35396, 56, 20873, 4380, 68, 30100, 226, 314, 724, 6092, 20, 7061, 87, 204, 264, 14317, 68, 41083, 289, 17372, 540, 35396, 56, 20873, 4380, 68, 30100, 226, 314, 724, 6092, 20, 7061, 87, 204, 204, 461, 949, 68, 6575, 13, 863, 328, 1652, 68, 6575, 31, 818, 17, 6096, 31, 818, 17, 3284, 31, 818, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 5199, 328, 1652, 3441, 10625, 523, 6096, 19, 204, 204, 264, 457, 31, 204, 268, 42756, 1652, 68, 6575, 322, 996, 330, 5199, 328, 1652, 3441, 204, 268, 6096, 322, 996, 330, 6096, 204, 268, 3284, 322, 996, 330, 3284, 204, 204, 264, 475, 31, 204, 268, 818, 31, 3392, 3441, 204, 264, 320, 204, 264, 314, 888, 275, 5199, 328, 1652, 3441, 204, 264, 407, 42756, 1652, 68, 6575, 540, 322, 28448, 25, 540, 645, 19, 1460, 540, 42756, 1652, 68, 6575, 930, 571, 540, 6096, 14, 802, 322, 24, 540, 3284, 602, 930, 3457, 21, 19, 25, 602, 338, 368, 14, 930, 500, 19, 26, 204, 204, 461, 1900, 68, 3474, 68, 9821, 13, 10890, 31, 18676, 7554, 14, 393, 1135, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 264, 320, 204, 264, 2069, 1419, 4042, 348, 275, 552, 32911, 4946, 19, 204, 204, 264, 457, 31, 204, 268, 3454, 322, 22996, 7554, 330, 4946, 3454, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 1419, 4042, 322, 834, 17, 1502, 17, 3581, 14, 204, 264, 320, 204, 264, 1419, 68, 9821, 289, 463, 204, 268, 379, 834, 597, 7541, 204, 268, 379, 1932, 597, 7541, 204, 268, 379, 7182, 597, 1306, 204, 264, 1211, 204, 204, 264, 314, 2069, 1419, 4042, 204, 264, 348, 906, 292, 933, 13, 10890, 19, 24263, 68, 4284, 38884, 330, 204, 268, 314, 2069, 1400, 6096, 329, 949, 3441, 204, 268, 6096, 289, 32556, 19, 2017, 374, 540, 3454, 19, 5605, 68, 39, 10042, 1000, 68, 13660, 35943, 204, 268, 3441, 289, 949, 68, 6575, 13, 10890, 19, 9667, 3285, 23604, 68, 20221, 17, 6096, 17, 3454, 19, 39, 10042, 1000, 3225, 68, 43057, 14, 204, 204, 268, 314, 2069, 1400, 9955, 2992, 204, 268, 8097, 289, 645, 19, 13202, 2809, 13, 33070, 19, 8745, 2422, 22, 17, 368, 602, 204, 268, 14482, 289, 32556, 19, 8745, 13, 21, 17, 435, 540, 645, 19, 1460, 14, 204, 204, 268, 314, 2069, 1400, 3581, 6922, 329, 9955, 2992, 204, 268, 3581, 68, 16778, 289, 443, 204, 268, 1335, 3581, 68, 16778, 353, 443, 31, 204, 305, 1934, 68, 7182, 289, 32556, 19, 8745, 13, 10890, 19, 6930, 68, 41083, 17, 3454, 19, 5605, 68, 41083, 14, 204, 305, 1934, 68, 3374, 289, 32556, 19, 8745, 13, 21, 17, 645, 19, 4041, 13, 1258, 540, 3454, 19, 6930, 68, 41083, 540, 3457, 22, 3694, 204, 305, 3581, 68, 3374, 289, 645, 19, 4041, 13, 1258, 540, 1934, 68, 7182, 540, 3457, 22, 602, 204, 305, 397, 3581, 68, 3374, 1323, 1934, 68, 3374, 31, 204, 485, 3581, 68, 16778, 289, 1934, 68, 7182, 204, 268, 3581, 68, 3907, 289, 645, 19, 13202, 2809, 13, 33070, 19, 8745, 2422, 22, 17, 368, 602, 204, 268, 3581, 68, 7430, 289, 32556, 19, 8745, 13, 21, 17, 435, 540, 645, 19, 1460, 14, 204, 204, 268, 314, 888, 20689, 2992, 204, 268, 1502, 289, 551, 204, 305, 3441, 540, 645, 19, 2883, 13, 3907, 14, 540, 645, 19, 2809, 13, 7430, 659, 204, 305, 3441, 540, 645, 19, 2883, 13, 3907, 14, 540, 645, 19, 2883, 13, 7430, 659, 204, 305, 3441, 540, 645, 19, 2809, 13, 3907, 14, 204, 268, 2437, 204, 268, 3581, 289, 551, 204, 305, 3581, 68, 16778, 540, 645, 19, 2883, 13, 7182, 68, 3907, 14, 540, 645, 19, 2809, 13, 7182, 68, 7430, 659, 204, 305, 3581, 68, 16778, 540, 645, 19, 2883, 13, 7182, 68, 3907, 14, 540, 645, 19, 2883, 13, 7182, 68, 7430, 659, 204, 305, 3581, 68, 16778, 540, 645, 19, 2809, 13, 7182, 68, 3907, 14, 204, 268, 2437, 204, 204, 268, 314, 5230, 311, 1419, 4042, 204, 268, 1419, 68, 9821, 736, 834, 3750, 1223, 13, 33070, 19, 8745, 13, 13971, 17, 1598, 1207, 602, 204, 268, 1419, 68, 9821, 736, 1932, 3750, 1223, 13, 1932, 14, 204, 268, 1419, 68, 9821, 736, 7182, 3750, 1223, 13, 7182, 14, 204, 204, 264, 407, 1419, 68, 9821, 204, 204, 461, 2106, 68, 3474, 68, 9821, 13, 3474, 68, 9821, 31, 1135, 17, 2049, 31, 394, 289, 388, 45, 32911, 18, 3474, 18, 9821, 19, 3039, 431, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 1419, 4042, 311, 273, 510, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 9821, 322, 873, 330, 1419, 4042, 322, 834, 17, 1502, 17, 3581, 14, 204, 268, 2049, 322, 325, 17, 1448, 330, 2049, 19, 1243, 311, 388, 45, 32911, 18, 3474, 18, 9821, 19, 3039, 2948, 204, 264, 320, 204, 264, 440, 1451, 13, 2029, 17, 388, 92, 431, 448, 283, 31, 204, 268, 283, 19, 2206, 499, 3474, 68, 834, 610, 18, 1932, 469, 18, 1932, 1264, 18, 1932, 610, 18, 7182, 469, 18, 7182, 1264, 18, 7182, 3581, 68, 16778, 65, 83, 431, 204, 268, 348, 296, 292, 933, 13, 1796, 13, 3474, 68, 9821, 736, 834, 2378, 330, 204, 305, 283, 19, 2206, 13, 75, 1954, 3474, 68, 9821, 736, 834, 6970, 78, 7916, 463, 3474, 68, 9821, 736, 1932, 6970, 78, 1799, 21, 7916, 463, 3474, 68, 9821, 736, 1932, 6970, 78, 1799, 22, 7916, 463, 3474, 68, 9821, 736, 1932, 6970, 78, 1799, 23, 7916, 388, 204, 895, 283, 1954, 3474, 68, 9821, 736, 7182, 6970, 78, 1799, 21, 7916, 463, 3474, 68, 9821, 736, 7182, 6970, 78, 1799, 22, 7916, 463, 3474, 68, 9821, 736, 7182, 6970, 78, 1799, 23, 7916, 463, 1123, 19, 11450, 19, 5915, 13, 3474, 68, 9821, 736, 7182, 6970, 78, 694, 2277, 83, 431, 204, 204, 461, 1807, 68, 3474, 68, 9821, 13, 3474, 68, 9821, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 1419, 4042, 19, 204, 204, 264, 457, 31, 204, 268, 1419, 68, 9821, 322, 873, 330, 1419, 4042, 322, 834, 17, 1502, 17, 3581, 14, 204, 264, 320, 204, 264, 314, 3045, 3272, 302, 1419, 16646, 204, 264, 16646, 289, 551, 1123, 19, 11450, 19, 5915, 13, 91, 14, 348, 376, 292, 1419, 68, 9821, 736, 7182, 11653, 204, 264, 1513, 19, 3657, 13, 28900, 17, 11466, 34, 2188, 14, 204, 264, 1513, 19, 7246, 611, 6238, 3581, 6922, 551, 80, 6092, 20, 7061, 87, 23842, 204, 264, 1513, 19, 7127, 611, 7366, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 264, 314, 3045, 20689, 2992, 204, 264, 4738, 289, 1419, 68, 9821, 736, 1932, 839, 204, 264, 610, 17, 469, 17, 1264, 289, 4337, 4934, 5864, 14, 204, 264, 1513, 19, 7208, 374, 204, 264, 1711, 289, 1513, 19, 14196, 13, 14362, 17, 11115, 833, 24, 73, 534, 204, 264, 1711, 19, 10129, 13, 93, 17, 469, 17, 1264, 14, 204, 264, 1711, 19, 574, 68, 7246, 611, 93, 18, 3399, 551, 80, 6092, 23842, 204, 264, 1711, 19, 574, 68, 7127, 611, 94, 18, 3399, 551, 80, 6092, 23842, 204, 264, 1711, 19, 574, 68, 95, 1676, 611, 95, 18, 3399, 551, 80, 6092, 23842, 204, 264, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1513, 19, 2896, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3454, 289, 18676, 7554, 374, 204, 264, 1419, 68, 9821, 289, 1900, 68, 3474, 68, 9821, 13, 10890, 14, 204, 264, 2106, 68, 3474, 68, 9821, 13, 3474, 68, 9821, 14, 204, 264, 1807, 68, 3474, 68, 9821, 13, 3474, 68, 9821, 14, 204, 0, 531, 5567, 19, 5554, 19, 4608, 19, 1424, 532, 4596, 204, 531, 2048, 19, 8381, 19, 772, 68, 2225, 532, 44902, 204, 204, 676, 6994, 5725, 6188, 13, 3295, 6188, 330, 204, 264, 320, 204, 264, 2646, 275, 1813, 722, 1472, 19, 204, 204, 264, 1058, 850, 3629, 2986, 311, 6767, 275, 1472, 329, 1356, 275, 2963, 1068, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 12580, 348, 275, 1696, 2963, 204, 264, 472, 4755, 9967, 68, 15562, 68, 33656, 289, 322, 3609, 19, 10801, 17, 18032, 2947, 7771, 932, 833, 2947, 32408, 204, 204, 264, 436, 6767, 68, 2225, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 11885, 496, 275, 1472, 353, 3271, 560, 9101, 348, 275, 9920, 302, 275, 1696, 2963, 19, 204, 204, 268, 1632, 31, 204, 305, 15689, 31, 828, 275, 1696, 2963, 353, 508, 1193, 523, 275, 1472, 19, 204, 268, 320, 204, 268, 314, 6407, 275, 1472, 560, 9101, 348, 275, 9920, 302, 275, 1696, 2963, 204, 268, 370, 19, 271, 68, 11813, 68, 2225, 13, 327, 19, 12634, 9967, 68, 15562, 68, 33656, 14, 204, 204, 264, 436, 636, 68, 2947, 68, 492, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 4071, 275, 1068, 302, 275, 1696, 2963, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 1068, 302, 275, 1696, 2963, 19, 204, 268, 320, 204, 268, 314, 763, 275, 1068, 302, 275, 1696, 2963, 204, 268, 407, 370, 19, 505, 68, 492, 13, 327, 19, 12634, 9967, 68, 15562, 68, 33656, 14, 204, 204, 264, 436, 1356, 68, 2947, 68, 492, 13, 327, 17, 1812, 68, 492, 31, 394, 17, 4710, 68, 4054, 31, 1109, 289, 1078, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 275, 2963, 1068, 4083, 275, 1812, 1068, 19, 204, 204, 268, 457, 31, 204, 305, 1812, 68, 492, 322, 325, 330, 334, 1812, 1068, 311, 444, 3113, 292, 275, 2963, 19, 204, 305, 4710, 68, 4054, 322, 2107, 330, 2266, 311, 1356, 348, 437, 4710, 2216, 19, 1243, 311, 1078, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 1812, 1068, 353, 1193, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2963, 1068, 204, 268, 2963, 68, 492, 289, 370, 19, 505, 68, 2947, 68, 492, 374, 204, 822, 268, 314, 778, 397, 275, 1812, 1068, 353, 1193, 292, 275, 2963, 1068, 204, 268, 397, 4710, 68, 4054, 31, 204, 305, 314, 778, 348, 437, 4710, 2216, 204, 305, 407, 2963, 68, 492, 564, 1812, 68, 492, 204, 268, 902, 31, 204, 305, 314, 778, 348, 273, 7380, 2216, 204, 305, 407, 1812, 68, 492, 292, 2963, 68, 492, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 1014, 302, 275, 6994, 5725, 6188, 850, 204, 264, 1813, 68, 1300, 68, 2225, 289, 6994, 5725, 6188, 374, 204, 615, 264, 314, 6407, 275, 1472, 204, 264, 1813, 68, 1300, 68, 2225, 19, 11174, 68, 2225, 374, 204, 615, 264, 314, 763, 275, 2963, 1068, 204, 264, 2963, 68, 492, 289, 1813, 68, 1300, 68, 2225, 19, 505, 68, 2947, 68, 492, 374, 204, 264, 456, 13, 75, 7, 6059, 1068, 31, 463, 2947, 68, 492, 743, 204, 615, 264, 314, 778, 397, 275, 2963, 1068, 4083, 275, 1812, 1068, 204, 264, 1812, 68, 492, 289, 388, 19670, 7, 204, 264, 353, 68, 4054, 289, 1813, 68, 1300, 68, 2225, 19, 2555, 68, 2947, 68, 492, 13, 5477, 68, 492, 14, 204, 264, 456, 13, 75, 7, 4947, 3318, 5477, 68, 492, 2867, 1193, 292, 275, 2963, 1068, 36, 463, 360, 68, 4054, 743, 204, 615, 264, 314, 778, 348, 437, 4710, 2216, 204, 264, 353, 68, 22966, 68, 4054, 289, 1813, 68, 1300, 68, 2225, 19, 2555, 68, 2947, 68, 492, 13, 5477, 68, 492, 17, 4710, 68, 4054, 34, 1021, 14, 204, 264, 456, 13, 75, 7, 4947, 275, 2963, 1068, 6488, 3318, 5477, 68, 492, 2867, 36, 463, 360, 68, 22966, 68, 4054, 743, 204, 0, 531, 4433, 532, 3017, 17, 824, 17, 4123, 17, 13732, 204, 647, 12348, 204, 647, 11055, 204, 531, 21393, 532, 33899, 204, 531, 1804, 532, 1804, 204, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 676, 6319, 4441, 31, 204, 264, 320, 204, 264, 5133, 3777, 5247, 329, 3587, 19, 204, 204, 264, 1532, 31, 204, 268, 43700, 68, 24907, 322, 655, 330, 334, 1945, 2357, 348, 273, 3777, 19, 204, 268, 650, 11437, 1889, 68, 24907, 322, 655, 330, 334, 1448, 2357, 348, 273, 3777, 19, 204, 268, 20229, 68, 24907, 322, 655, 330, 334, 2357, 496, 529, 6929, 292, 275, 3777, 424, 19, 204, 264, 320, 204, 204, 264, 43700, 68, 24907, 289, 2470, 13888, 491, 379, 2288, 68, 359, 491, 379, 6324, 18, 3350, 491, 379, 1454, 491, 379, 417, 491, 379, 2302, 839, 204, 264, 650, 11437, 1889, 68, 24907, 289, 2470, 805, 839, 204, 264, 20229, 68, 24907, 289, 2470, 2288, 68, 359, 491, 379, 417, 491, 379, 1454, 839, 204, 204, 264, 436, 589, 924, 889, 327, 17, 3777, 68, 654, 31, 1135, 17, 740, 68, 1087, 31, 1135, 330, 204, 268, 320, 204, 268, 1865, 275, 6319, 4441, 19, 204, 204, 268, 457, 31, 204, 305, 3777, 68, 654, 322, 873, 330, 334, 3777, 798, 424, 19, 204, 305, 740, 68, 1087, 322, 873, 330, 334, 1650, 1586, 19, 204, 268, 320, 204, 268, 370, 19, 6324, 68, 654, 289, 3777, 68, 654, 204, 268, 370, 19, 748, 68, 1087, 289, 740, 68, 1087, 204, 268, 370, 19, 481, 289, 2087, 204, 204, 264, 436, 3893, 68, 3261, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 11149, 275, 3777, 798, 3583, 19, 204, 204, 268, 475, 31, 204, 305, 1109, 31, 959, 397, 275, 3583, 529, 1097, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 830, 1945, 2357, 529, 3113, 204, 268, 397, 508, 830, 13, 644, 292, 370, 19, 6324, 68, 654, 348, 896, 292, 370, 19, 38939, 68, 24907, 330, 204, 305, 740, 19, 3342, 19, 9041, 499, 14344, 1945, 2357, 431, 204, 305, 407, 1078, 204, 204, 268, 314, 778, 397, 830, 2357, 529, 4260, 1945, 521, 1448, 204, 268, 4675, 68, 3261, 289, 370, 19, 38939, 68, 24907, 465, 370, 19, 44128, 1889, 68, 24907, 204, 268, 397, 508, 830, 13, 644, 292, 4675, 68, 3261, 348, 896, 292, 370, 19, 6324, 68, 654, 330, 204, 305, 740, 19, 3342, 19, 9041, 499, 29465, 2357, 431, 204, 305, 407, 1078, 204, 204, 268, 314, 778, 397, 275, 4245, 1274, 4083, 275, 1586, 204, 268, 397, 388, 3350, 805, 7, 292, 370, 19, 748, 68, 1087, 329, 370, 19, 6324, 68, 654, 1166, 6324, 18, 3350, 1339, 2167, 370, 19, 748, 68, 1087, 1166, 3350, 805, 8682, 204, 305, 740, 19, 3342, 19, 9041, 13, 75, 7, 16536, 1274, 3318, 327, 19, 6324, 68, 654, 736, 6324, 18, 3350, 839, 2867, 5409, 2964, 2216, 1586, 3318, 327, 19, 748, 68, 1087, 736, 3350, 805, 839, 15049, 204, 305, 407, 1078, 204, 204, 268, 407, 959, 204, 204, 264, 436, 1900, 68, 6324, 68, 359, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 273, 2220, 1222, 348, 275, 3777, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 3777, 1222, 19, 204, 268, 320, 204, 268, 314, 2069, 273, 16387, 18, 6372, 3678, 302, 275, 3777, 424, 204, 268, 3678, 289, 12348, 19, 11481, 6372, 374, 204, 268, 348, 896, 292, 370, 19, 6355, 68, 24907, 465, 2470, 672, 5441, 204, 305, 3678, 19, 2045, 13, 325, 13, 327, 19, 481, 64, 644, 12670, 4170, 611, 3102, 18, 29, 3063, 204, 268, 407, 3678, 19, 18927, 374, 204, 204, 264, 436, 1900, 68, 44668, 10034, 68, 4074, 13, 327, 17, 1692, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 273, 6890, 91, 10034, 3678, 348, 275, 3777, 2799, 19, 204, 204, 268, 457, 31, 204, 305, 1692, 322, 325, 330, 334, 3777, 2799, 677, 1692, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 6890, 91, 10034, 3678, 19, 204, 268, 320, 204, 268, 314, 2069, 437, 12281, 26, 3678, 302, 275, 1692, 1995, 204, 268, 3678, 289, 12348, 19, 7648, 26, 374, 204, 268, 3678, 19, 2045, 13, 2302, 19, 2892, 1528, 3006, 1528, 4170, 611, 3102, 18, 29, 3063, 204, 268, 407, 3678, 19, 18927, 374, 204, 204, 264, 436, 636, 68, 13888, 68, 805, 13, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 3596, 275, 4123, 1274, 497, 275, 3777, 798, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 4123, 1274, 19, 204, 268, 320, 204, 268, 407, 370, 19, 6324, 68, 654, 19, 505, 611, 13888, 534, 204, 204, 264, 436, 758, 68, 6324, 68, 481, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 275, 3777, 424, 19, 204, 268, 320, 204, 268, 314, 1359, 275, 1945, 2357, 204, 268, 348, 896, 292, 370, 19, 6355, 68, 24907, 31, 204, 305, 370, 19, 481, 64, 644, 66, 289, 370, 19, 6324, 68, 654, 64, 644, 66, 204, 204, 268, 314, 1359, 275, 1448, 2357, 397, 3113, 204, 268, 348, 896, 292, 370, 19, 44128, 1889, 68, 24907, 31, 204, 305, 397, 370, 19, 6324, 68, 654, 19, 505, 13, 644, 330, 204, 485, 370, 19, 481, 64, 644, 66, 289, 370, 19, 6324, 68, 654, 64, 644, 66, 204, 204, 268, 314, 1359, 275, 1489, 329, 1222, 204, 268, 370, 19, 481, 736, 672, 839, 289, 1804, 19, 1520, 374, 204, 268, 370, 19, 481, 736, 359, 839, 289, 370, 19, 4776, 68, 6324, 68, 359, 374, 204, 268, 370, 19, 481, 736, 44668, 10034, 839, 289, 370, 19, 4776, 68, 44668, 10034, 68, 4074, 13, 327, 19, 6324, 68, 654, 736, 2302, 2378, 204, 204, 264, 436, 838, 68, 8750, 68, 17907, 68, 1443, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 273, 13447, 9561, 824, 348, 275, 3777, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 977, 275, 13447, 1893, 204, 305, 357, 289, 33899, 13, 327, 19, 748, 68, 1087, 1166, 2119, 3808, 204, 305, 12945, 289, 357, 19, 505, 68, 9519, 13, 327, 19, 748, 68, 1087, 1166, 9519, 3808, 204, 204, 305, 314, 763, 275, 7659, 329, 5791, 204, 305, 7286, 289, 370, 19, 6324, 68, 654, 736, 2288, 68, 359, 839, 204, 305, 588, 289, 370, 19, 6324, 68, 654, 736, 417, 839, 204, 305, 3777, 68, 359, 289, 370, 19, 481, 736, 359, 839, 204, 305, 7659, 68, 417, 289, 283, 7, 6324, 14238, 6324, 68, 359, 2495, 204, 305, 43938, 289, 12945, 19, 505, 68, 11320, 13, 327, 19, 748, 68, 1087, 736, 660, 11320, 2378, 204, 204, 305, 314, 666, 273, 717, 7659, 204, 305, 12945, 19, 1510, 68, 9502, 68, 3484, 13, 3484, 833, 29587, 20, 14057, 9248, 465, 7659, 68, 417, 17, 15266, 34, 31198, 19, 4827, 19, 11481, 14, 204, 204, 305, 314, 666, 273, 717, 5791, 204, 305, 5791, 476, 289, 33899, 19, 3383, 25987, 8861, 13, 417, 17, 370, 19, 6324, 68, 654, 736, 2302, 2378, 204, 305, 510, 68, 417, 289, 283, 7, 68, 481, 20, 9483, 4235, 8420, 8246, 6324, 68, 359, 3572, 20755, 7, 204, 305, 1724, 289, 283, 7, 13324, 463, 6324, 68, 359, 98, 497, 463, 417, 98, 311, 463, 8420, 2495, 204, 305, 12945, 19, 1510, 68, 553, 13, 553, 68, 417, 17, 1724, 17, 11055, 19, 4573, 13, 327, 19, 481, 659, 7659, 68, 417, 17, 5791, 476, 14, 204, 204, 305, 314, 666, 273, 717, 9561, 824, 204, 305, 12945, 19, 1510, 68, 17907, 13, 1778, 34, 1778, 17, 2484, 22278, 1526, 34, 11320, 68, 417, 17, 1034, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19, 204, 264, 320, 204, 264, 314, 6408, 204, 264, 424, 68, 2100, 289, 468, 7, 40, 8563, 10669, 65, 12880, 30264, 8013, 65, 22449, 65, 11700, 27742, 65, 7691, 5587, 2985, 22, 65, 70, 25, 65, 481, 7, 204, 264, 13479, 68, 34782, 68, 2100, 289, 468, 7, 40, 8563, 25836, 7, 204, 264, 29565, 68, 3810, 289, 468, 7, 40, 8563, 10669, 65, 12880, 30264, 8013, 65, 36219, 7, 204, 204, 264, 407, 463, 204, 268, 388, 481, 68, 2100, 559, 424, 68, 2100, 17, 204, 268, 388, 14135, 68, 34782, 68, 2100, 559, 13479, 68, 34782, 68, 2100, 17, 204, 268, 388, 37166, 68, 3810, 559, 29565, 68, 3810, 204, 264, 1211, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 6153, 7887, 204, 264, 7887, 289, 5327, 68, 9895, 374, 204, 204, 264, 314, 16515, 31500, 204, 264, 13479, 68, 14616, 68, 546, 289, 5157, 13, 9895, 1166, 37166, 68, 3810, 2869, 379, 14135, 18, 24, 19, 21, 19, 22, 18, 3539, 18, 77, 35884, 23, 19, 28, 19, 89, 14199, 534, 204, 264, 15522, 68, 14616, 13, 14135, 68, 14616, 68, 546, 17, 7887, 1166, 14135, 68, 34782, 68, 2100, 3808, 204, 204, 264, 314, 11857, 68, 14616, 68, 546, 289, 5157, 13, 9895, 1166, 481, 68, 2100, 2869, 379, 14793, 19, 89, 14199, 534, 204, 264, 314, 15522, 68, 14616, 13, 14793, 68, 14616, 68, 546, 17, 7887, 1166, 481, 68, 2100, 3808, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 461, 1151, 68, 44245, 68, 8346, 13, 2029, 31, 394, 14, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 4143, 437, 4086, 7154, 2548, 497, 273, 510, 19, 204, 204, 264, 457, 31, 204, 264, 2049, 322, 325, 330, 334, 588, 302, 275, 510, 1174, 275, 4086, 7154, 2548, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 339, 744, 334, 4086, 7154, 2548, 448, 273, 458, 302, 1892, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 275, 510, 292, 1151, 2291, 204, 268, 440, 1451, 13, 2029, 17, 379, 87, 534, 448, 510, 31, 204, 305, 314, 1606, 275, 510, 1666, 17, 3404, 490, 560, 12937, 17, 329, 1814, 848, 700, 311, 1534, 204, 305, 2548, 289, 551, 339, 13, 83, 14, 348, 300, 292, 510, 19, 976, 1528, 1590, 25488, 204, 268, 407, 2548, 204, 264, 827, 3180, 31, 204, 268, 314, 1426, 275, 1322, 1330, 275, 510, 353, 508, 1193, 204, 268, 456, 13, 75, 7, 2597, 463, 2029, 98, 508, 1193, 1280, 204, 268, 407, 1306, 204, 204, 461, 1523, 68, 44245, 68, 2004, 68, 26308, 68, 416, 68, 18209, 13, 8346, 31, 783, 64, 339, 648, 16971, 31, 421, 17, 14060, 31, 421, 14, 393, 783, 64, 339, 744, 204, 264, 320, 204, 264, 8209, 437, 4086, 7154, 2548, 440, 275, 800, 16971, 329, 14060, 19, 204, 204, 264, 457, 31, 204, 264, 2548, 322, 1218, 64, 339, 1037, 334, 4086, 7154, 2548, 19, 204, 264, 16971, 322, 339, 330, 334, 16971, 700, 19, 204, 264, 14060, 322, 339, 330, 334, 14060, 700, 19, 204, 204, 264, 475, 31, 204, 264, 783, 64, 339, 744, 334, 722, 302, 4436, 275, 4086, 7154, 2548, 19, 204, 264, 320, 204, 264, 314, 666, 273, 4028, 302, 275, 2548, 311, 4516, 11227, 275, 2171, 204, 264, 5846, 68, 8346, 289, 2548, 16280, 204, 264, 314, 1716, 275, 16971, 329, 14060, 1019, 292, 275, 5846, 2548, 204, 264, 5846, 68, 8346, 64, 22, 66, 289, 16971, 204, 264, 5846, 68, 8346, 64, 23, 66, 289, 14060, 204, 264, 314, 2466, 275, 5846, 2548, 322, 24018, 1523, 17155, 353, 4310, 13762, 14, 204, 264, 497, 4086, 7154, 532, 1523, 17155, 204, 264, 407, 1523, 17155, 13, 12171, 68, 8346, 14, 204, 204, 461, 949, 68, 1300, 13, 26308, 31, 421, 17, 14060, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 722, 1609, 523, 275, 16971, 329, 14060, 19, 204, 204, 264, 457, 31, 204, 264, 16971, 322, 339, 330, 334, 16971, 700, 19, 204, 264, 14060, 322, 339, 330, 334, 14060, 700, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 3392, 722, 19, 204, 264, 320, 204, 264, 314, 888, 275, 722, 974, 275, 800, 2089, 204, 264, 407, 1607, 540, 16971, 465, 14060, 204, 204, 461, 1020, 68, 2170, 68, 1300, 13, 8346, 31, 783, 64, 339, 648, 1029, 68, 1300, 31, 421, 14, 393, 927, 64, 339, 17, 421, 744, 204, 264, 320, 204, 264, 6746, 275, 16971, 329, 14060, 1019, 496, 6626, 275, 1029, 722, 19, 204, 204, 264, 457, 31, 204, 264, 2548, 322, 1218, 64, 339, 1037, 334, 4086, 7154, 2548, 19, 204, 264, 1029, 68, 1300, 322, 339, 330, 334, 1029, 722, 19, 204, 204, 264, 475, 31, 204, 264, 927, 64, 339, 17, 421, 744, 334, 16971, 329, 14060, 1019, 496, 6626, 275, 1029, 722, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 2237, 16971, 329, 14060, 1019, 204, 264, 348, 16971, 292, 933, 13, 2051, 330, 204, 268, 348, 14060, 292, 933, 13, 2051, 330, 204, 305, 314, 2466, 275, 2548, 440, 275, 790, 16971, 329, 14060, 1019, 204, 305, 722, 68, 8346, 289, 1523, 68, 44245, 68, 2004, 68, 26308, 68, 416, 68, 18209, 13, 8346, 17, 16971, 17, 14060, 14, 204, 305, 314, 778, 397, 275, 722, 4083, 275, 1029, 722, 204, 305, 397, 722, 68, 8346, 64, 21, 66, 564, 1029, 68, 1300, 31, 204, 485, 407, 16971, 17, 14060, 204, 264, 314, 455, 443, 397, 1236, 7535, 16971, 329, 14060, 1019, 529, 1193, 204, 264, 407, 443, 204, 204, 461, 667, 1293, 204, 264, 2049, 289, 379, 15585, 23, 3383, 19, 3039, 12, 204, 264, 1029, 68, 1300, 289, 27083, 3276, 28260, 204, 204, 264, 2548, 289, 1151, 68, 44245, 68, 8346, 13, 2029, 14, 204, 264, 397, 2548, 31, 204, 268, 314, 1752, 275, 16971, 329, 14060, 1019, 496, 6626, 275, 1029, 722, 204, 268, 722, 289, 1020, 68, 2170, 68, 1300, 13, 8346, 17, 1029, 68, 1300, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 14, 204, 268, 397, 722, 31, 204, 305, 16971, 17, 14060, 289, 722, 204, 305, 314, 888, 329, 456, 275, 2423, 722, 204, 305, 2423, 68, 1300, 289, 949, 68, 1300, 13, 26308, 17, 14060, 14, 204, 305, 456, 13, 75, 7, 3882, 350, 31, 463, 26308, 1522, 4244, 71, 31, 463, 18209, 1522, 10622, 9541, 31, 463, 7912, 68, 1300, 743, 204, 268, 902, 31, 204, 305, 456, 499, 3882, 7535, 16971, 329, 14060, 1019, 1193, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 777, 1046, 301, 31, 13770, 17, 7806, 17, 329, 11010, 777, 204, 204, 38, 13708, 353, 273, 2327, 18, 11464, 726, 440, 273, 10244, 1034, 329, 1051, 22946, 1653, 496, 3256, 1372, 311, 273, 14321, 630, 275, 1913, 19, 14377, 18, 6715, 6016, 302, 35675, 2255, 9036, 20750, 35675, 329, 10935, 35675, 19, 204, 204, 777, 17695, 1320, 777, 204, 204, 5681, 4636, 440, 35675, 17, 1422, 529, 2327, 3287, 10624, 31, 204, 204, 22, 19, 930, 28119, 322, 87, 12541, 275, 1759, 497, 275, 3466, 302, 275, 9951, 1034, 311, 275, 3428, 302, 275, 1034, 19, 204, 23, 19, 930, 18388, 322, 77, 12541, 275, 1853, 302, 275, 13708, 19, 204, 24, 19, 930, 10746, 302, 275, 1653, 497, 14321, 311, 1034, 322, 88, 12541, 275, 1759, 497, 275, 14321, 302, 275, 13708, 311, 275, 3428, 302, 275, 1034, 19, 204, 204, 777, 8939, 7806, 777, 204, 204, 673, 3776, 1864, 302, 273, 13708, 869, 970, 3576, 31, 275, 1034, 329, 275, 22946, 1653, 19, 334, 9994, 529, 31, 204, 204, 15, 930, 8939, 7806, 302, 275, 3301, 1416, 23315, 3231, 204, 15, 930, 8939, 7806, 302, 275, 6393, 1462, 22169, 1416, 5780, 9367, 204, 15, 930, 6425, 15415, 7806, 1416, 23315, 3231, 465, 5780, 9367, 204, 204, 3719, 275, 1277, 302, 275, 1653, 497, 14321, 311, 1034, 322, 88, 14, 353, 508, 800, 17, 490, 618, 444, 3392, 974, 275, 2089, 31, 297, 289, 7408, 87, 3231, 465, 373, 3231, 14, 204, 204, 673, 4151, 3776, 1864, 2089, 348, 273, 13708, 353, 31, 204, 204, 8939, 7806, 289, 23315, 3231, 465, 23315, 540, 7408, 87, 3231, 465, 373, 3231, 14, 204, 204, 777, 5063, 5248, 777, 204, 204, 6431, 275, 3776, 1864, 302, 273, 13708, 440, 273, 3441, 302, 571, 6887, 329, 273, 1853, 302, 931, 6887, 19, 204, 204, 8939, 7806, 289, 5780, 540, 571, 3231, 465, 5780, 540, 571, 540, 7408, 24, 3231, 465, 931, 3231, 14, 204, 34, 571, 19, 2300, 540, 1233, 465, 571, 19, 2300, 540, 571, 540, 7408, 30, 465, 1607, 14, 204, 34, 571, 19, 2300, 540, 1233, 465, 571, 19, 2300, 540, 571, 540, 3849, 27763, 204, 34, 571, 19, 2300, 540, 1233, 465, 571, 19, 2300, 540, 571, 540, 931, 19, 4832, 204, 34, 4662, 19, 4635, 465, 15804, 19, 4049, 204, 34, 25174, 19, 10128, 6887, 8030, 204, 204, 777, 14562, 777, 204, 204, 673, 3351, 302, 273, 13708, 353, 508, 14511, 292, 808, 1068, 17, 1101, 490, 1120, 444, 9811, 292, 273, 5094, 9542, 19, 0, 647, 1127, 204, 647, 1437, 204, 531, 1437, 532, 2839, 204, 647, 3238, 204, 531, 6934, 19, 10535, 532, 9954, 68, 7206, 17, 5500, 68, 15281, 68, 531, 68, 14980, 204, 531, 6934, 19, 10173, 10040, 532, 20418, 204, 647, 23589, 448, 15533, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 8, 1359, 23589, 6060, 204, 42651, 19, 574, 374, 204, 204, 461, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 393, 3238, 19, 5750, 31, 204, 264, 320, 204, 264, 2735, 1354, 18, 1054, 1906, 19, 204, 204, 264, 475, 31, 204, 268, 3238, 19, 5750, 31, 11123, 1906, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 7791, 11402, 18, 9339, 12859, 10040, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 20279, 26, 68, 553, 491, 1187, 34, 325, 17, 1340, 833, 4203, 311, 15294, 26, 510, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 9488, 491, 1187, 34, 325, 17, 1540, 34, 3170, 17, 1340, 833, 4203, 311, 778, 1096, 3746, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 7064, 491, 1187, 34, 339, 17, 1540, 34, 2051, 17, 1340, 833, 4290, 302, 6175, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 21042, 68, 5029, 491, 1187, 34, 339, 17, 1540, 34, 2169, 17, 1340, 833, 29037, 3506, 2689, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 7350, 491, 1187, 34, 996, 17, 1540, 34, 21, 19, 7585, 17, 1340, 833, 16329, 2233, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 3374, 68, 11560, 491, 1187, 34, 996, 17, 1540, 34, 22, 74, 18, 26, 17, 1340, 833, 15947, 10321, 311, 4209, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 2884, 68, 835, 491, 1187, 34, 339, 17, 1540, 34, 6372, 17, 1340, 833, 9731, 1302, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 920, 68, 4588, 491, 1187, 34, 339, 17, 1540, 34, 22, 17, 1340, 833, 4290, 302, 6505, 292, 424, 534, 204, 264, 1732, 19, 826, 68, 2389, 5919, 17875, 68, 2230, 491, 1187, 34, 339, 17, 1540, 34, 6372, 17, 1340, 833, 20898, 319, 5117, 1302, 534, 204, 204, 264, 407, 1732, 19, 1703, 68, 1038, 374, 204, 204, 461, 838, 68, 1420, 68, 19227, 374, 393, 443, 31, 204, 264, 320, 204, 264, 666, 919, 19035, 397, 1250, 770, 508, 1337, 19, 204, 264, 320, 204, 264, 919, 68, 1217, 289, 14652, 1420, 11291, 204, 264, 2388, 68, 1217, 289, 1127, 19, 546, 19, 1541, 13, 1420, 68, 1217, 17, 388, 2936, 20815, 204, 204, 264, 314, 666, 919, 1445, 397, 490, 1583, 508, 1337, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 1420, 68, 1217, 330, 204, 268, 1127, 19, 13986, 13, 1420, 68, 1217, 14, 204, 204, 264, 314, 666, 2388, 1445, 397, 490, 1583, 508, 1337, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 2936, 68, 1217, 330, 204, 268, 1127, 19, 13986, 13, 2936, 68, 1217, 14, 204, 204, 461, 1137, 68, 809, 68, 531, 68, 9488, 13, 9488, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 68, 546, 31, 394, 17, 570, 31, 2839, 19, 3732, 14, 393, 2839, 19, 3732, 31, 204, 264, 320, 204, 264, 1385, 570, 497, 7974, 19, 204, 204, 264, 457, 31, 204, 268, 7974, 68, 546, 322, 325, 330, 2621, 311, 7974, 510, 19, 204, 268, 570, 322, 2606, 19, 3732, 330, 3746, 311, 1137, 19, 204, 204, 264, 475, 31, 204, 268, 2839, 19, 3732, 31, 9387, 570, 19, 204, 264, 320, 204, 264, 397, 7974, 68, 546, 353, 508, 443, 329, 1127, 19, 546, 19, 4332, 13, 9488, 68, 546, 330, 204, 268, 570, 19, 986, 68, 1512, 68, 873, 13, 3109, 19, 986, 13, 9488, 68, 546, 602, 204, 264, 407, 570, 204, 204, 461, 951, 68, 31537, 13, 204, 264, 570, 31, 2839, 19, 3732, 17, 716, 264, 951, 68, 3670, 31, 1437, 19, 2918, 19, 481, 19, 10535, 17, 716, 264, 9616, 31, 2839, 19, 3732, 17, 716, 264, 4209, 31, 1437, 19, 4647, 19, 11664, 17, 716, 264, 771, 68, 7064, 31, 421, 17, 716, 264, 4744, 68, 5029, 68, 3485, 31, 421, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 20418, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 3746, 311, 951, 19, 204, 268, 951, 68, 3670, 322, 3109, 19, 2918, 19, 481, 19, 10535, 330, 7502, 424, 6707, 19, 204, 268, 9616, 322, 2606, 19, 3732, 330, 11205, 9616, 19, 204, 268, 4209, 322, 3109, 19, 4647, 19, 11664, 330, 26076, 19, 204, 268, 771, 68, 7064, 322, 339, 330, 3239, 302, 6175, 19, 204, 268, 4744, 68, 5029, 68, 3485, 322, 339, 330, 15438, 3506, 2689, 19, 204, 264, 320, 204, 264, 314, 977, 3330, 311, 1640, 1737, 2210, 329, 4744, 3506, 1040, 204, 264, 951, 68, 2650, 289, 1306, 204, 264, 4744, 68, 5029, 68, 765, 289, 500, 204, 204, 264, 314, 2672, 570, 348, 1713, 542, 302, 6175, 204, 264, 348, 3741, 292, 933, 13, 920, 68, 7064, 330, 204, 268, 314, 977, 2210, 348, 790, 3741, 204, 268, 2210, 68, 1219, 289, 500, 204, 204, 268, 314, 1861, 1048, 15327, 18, 14352, 292, 1737, 6707, 204, 268, 348, 6849, 17, 36062, 68, 292, 3209, 13, 1219, 68, 3670, 330, 204, 305, 314, 1986, 3754, 2304, 497, 15327, 18, 2884, 204, 305, 6915, 3179, 289, 36062, 68, 204, 305, 3840, 289, 1437, 19, 4173, 13, 3912, 789, 16876, 13, 22, 14, 204, 305, 3840, 289, 3840, 19, 633, 611, 6938, 31, 22, 534, 204, 204, 305, 314, 9711, 1879, 204, 305, 919, 289, 570, 13, 3371, 14, 204, 305, 2210, 289, 9616, 13, 1420, 17, 3840, 14, 204, 204, 305, 314, 24210, 1879, 204, 305, 4209, 19, 5306, 68, 6164, 374, 204, 305, 2210, 19, 12242, 374, 204, 305, 4209, 19, 2290, 374, 204, 204, 305, 314, 39139, 3432, 2210, 348, 790, 3741, 204, 305, 2210, 68, 1219, 1412, 2210, 204, 204, 268, 314, 2175, 2210, 348, 790, 3741, 204, 268, 456, 13, 75, 12, 15934, 10081, 4220, 465, 368, 8246, 920, 68, 7064, 38224, 11205, 31, 463, 2650, 68, 1219, 19, 1271, 374, 802, 6849, 4567, 25, 75, 3501, 204, 204, 268, 314, 5230, 2210, 348, 790, 3741, 311, 458, 204, 268, 951, 68, 2650, 19, 1223, 13, 2650, 68, 1219, 19, 1271, 374, 802, 6849, 14, 204, 204, 268, 314, 3025, 570, 329, 1807, 752, 2589, 931, 6175, 204, 268, 397, 3741, 1564, 931, 564, 500, 31, 204, 305, 314, 1986, 1043, 752, 497, 919, 204, 305, 20416, 289, 919, 19, 6995, 1528, 481, 64, 21, 1799, 21, 66, 204, 305, 3597, 68, 9892, 289, 3840, 19, 6995, 1528, 481, 64, 21, 1799, 21, 66, 204, 305, 20416, 64, 4855, 68, 9892, 564, 368, 66, 289, 368, 204, 204, 305, 314, 666, 19831, 302, 19840, 752, 204, 305, 1513, 19, 7208, 13, 11390, 3644, 29, 17, 1132, 602, 204, 305, 15533, 19, 25363, 13, 9892, 17, 279, 3520, 34, 1975, 14, 204, 305, 1513, 19, 12273, 13, 75, 47335, 1420, 20, 2936, 20, 935, 1859, 4220, 3572, 4955, 534, 204, 305, 1513, 19, 3529, 374, 204, 204, 305, 314, 3025, 570, 7974, 204, 305, 1437, 19, 2360, 13, 809, 19, 1512, 68, 873, 2144, 283, 38389, 1420, 20, 15578, 68, 7206, 1859, 4220, 3572, 2957, 431, 204, 204, 268, 314, 778, 348, 4744, 16663, 204, 268, 397, 1245, 13, 1219, 68, 2650, 14, 1323, 435, 329, 951, 68, 2650, 3327, 22, 66, 564, 1006, 13, 1219, 68, 2650, 330, 204, 305, 314, 3025, 2765, 570, 204, 305, 1437, 19, 2360, 13, 809, 19, 1512, 68, 873, 2144, 14652, 1420, 20, 15578, 68, 7206, 68, 6222, 19, 2957, 431, 204, 305, 4744, 68, 5029, 68, 765, 289, 500, 204, 268, 902, 31, 204, 305, 4744, 68, 5029, 68, 765, 1412, 368, 204, 204, 268, 314, 9829, 1737, 397, 4744, 3506, 2689, 353, 7486, 204, 268, 397, 4744, 68, 5029, 68, 765, 1323, 4744, 68, 5029, 68, 3485, 31, 204, 305, 2280, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 2735, 1354, 18, 1054, 1906, 204, 264, 2042, 289, 2252, 68, 2196, 68, 1054, 68, 6052, 374, 204, 204, 264, 314, 666, 919, 19035, 204, 264, 838, 68, 1420, 68, 19227, 374, 204, 204, 264, 314, 977, 20418, 570, 204, 264, 570, 289, 20418, 13, 1038, 19, 920, 68, 4588, 17, 2042, 19, 17875, 68, 2230, 789, 633, 611, 6938, 31, 22, 534, 204, 204, 264, 314, 1385, 570, 497, 7974, 397, 1713, 204, 264, 570, 289, 1137, 68, 809, 68, 531, 68, 9488, 13, 1038, 19, 9488, 17, 570, 14, 204, 204, 264, 314, 968, 2210, 9616, 329, 4209, 204, 264, 9616, 289, 2839, 19, 37650, 374, 204, 264, 4209, 289, 1437, 19, 4647, 19, 12967, 13, 809, 19, 3465, 2144, 10264, 34, 1038, 19, 7350, 17, 2308, 68, 11560, 34, 1038, 19, 3374, 68, 11560, 14, 204, 204, 264, 314, 666, 1737, 424, 6707, 204, 264, 951, 68, 3670, 289, 5500, 68, 15281, 68, 531, 68, 14980, 13, 1038, 19, 20279, 26, 68, 553, 17, 2042, 19, 2884, 68, 835, 14, 204, 204, 264, 314, 2672, 20418, 570, 204, 264, 951, 68, 31537, 13, 809, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 17, 951, 68, 3670, 17, 9616, 17, 4209, 17, 2042, 19, 7064, 17, 2042, 19, 21042, 68, 5029, 14, 204, 204, 264, 456, 499, 10173, 10040, 867, 6020, 2104, 5397, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 1361, 204, 647, 2164, 204, 531, 1498, 532, 1061, 17, 783, 204, 204, 8, 968, 273, 2082, 204, 3342, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 204, 8, 968, 273, 3324, 348, 275, 13834, 1484, 204, 3668, 12087, 3225, 22701, 68, 23785, 289, 463, 204, 264, 388, 835, 559, 500, 17, 204, 264, 388, 616, 405, 559, 463, 204, 268, 388, 2207, 559, 463, 204, 305, 388, 9301, 559, 463, 204, 485, 388, 1993, 559, 388, 46817, 4697, 1701, 528, 204, 485, 388, 835, 559, 1199, 204, 305, 4752, 204, 305, 388, 616, 405, 559, 463, 204, 485, 388, 2207, 559, 463, 204, 895, 388, 9301, 559, 463, 204, 2058, 388, 1993, 559, 388, 9123, 2191, 7, 204, 895, 4752, 204, 895, 388, 616, 405, 559, 463, 204, 2058, 388, 2207, 68, 11224, 559, 463, 204, 4511, 388, 2723, 68, 19502, 559, 463, 204, 8835, 388, 835, 559, 368, 17, 204, 8835, 388, 2975, 559, 551, 204, 14302, 463, 204, 20179, 388, 5192, 559, 463, 204, 27006, 388, 1115, 559, 388, 8968, 7, 204, 20179, 1211, 204, 14302, 1211, 204, 8835, 2437, 204, 4511, 1211, 204, 2058, 1211, 204, 895, 1211, 204, 485, 1211, 204, 305, 1211, 204, 268, 1211, 204, 264, 1211, 204, 98, 204, 204, 8, 968, 273, 3324, 348, 275, 13834, 1274, 204, 3668, 12087, 3225, 22701, 68, 3778, 289, 379, 1942, 1963, 1803, 18, 5707, 83, 2939, 825, 32356, 81, 345, 82, 18, 86, 5331, 4229, 16358, 27, 86, 13388, 95, 26, 2265, 913, 95, 23735, 27, 22178, 28, 91, 25, 19, 354, 18, 14301, 18, 22, 19, 301, 19, 36366, 19, 1453, 20, 1836, 82, 45404, 1803, 12, 204, 204, 676, 4534, 31, 204, 264, 320, 5272, 273, 944, 292, 275, 1561, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2322, 68, 932, 31, 394, 17, 588, 31, 394, 17, 1848, 31, 394, 17, 610, 31, 818, 17, 469, 31, 818, 330, 204, 268, 320, 204, 268, 1865, 273, 4534, 726, 19, 204, 204, 268, 457, 31, 204, 268, 338, 2322, 68, 932, 322, 325, 330, 334, 1187, 302, 2322, 19, 204, 268, 338, 588, 322, 325, 330, 334, 588, 302, 275, 944, 19, 204, 268, 338, 1848, 322, 325, 330, 334, 1848, 302, 275, 944, 19, 204, 268, 338, 610, 322, 996, 330, 334, 610, 18, 3936, 302, 275, 944, 19, 204, 268, 338, 469, 322, 996, 330, 334, 469, 18, 3936, 302, 275, 944, 19, 204, 268, 320, 204, 268, 370, 19, 3075, 68, 932, 289, 2322, 68, 932, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 2640, 289, 1848, 204, 268, 370, 19, 93, 289, 610, 204, 268, 370, 19, 94, 289, 469, 204, 204, 676, 565, 434, 31, 204, 264, 320, 5272, 273, 17286, 292, 275, 1561, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 17, 610, 31, 818, 17, 469, 31, 818, 17, 2731, 31, 783, 64, 339, 648, 2322, 68, 932, 31, 394, 17, 1848, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 273, 565, 434, 726, 19, 204, 204, 268, 457, 31, 204, 268, 338, 588, 322, 325, 330, 334, 588, 302, 275, 17286, 19, 204, 268, 338, 610, 322, 996, 330, 334, 610, 18, 3936, 302, 275, 17286, 19, 204, 268, 338, 469, 322, 996, 330, 334, 469, 18, 3936, 302, 275, 17286, 19, 204, 268, 338, 2731, 322, 1218, 64, 339, 1037, 332, 458, 302, 944, 4192, 19, 204, 268, 338, 2322, 68, 932, 322, 325, 330, 334, 1187, 302, 2322, 19, 204, 268, 338, 1848, 322, 325, 330, 334, 1848, 302, 275, 17286, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 268, 370, 19, 93, 289, 610, 204, 268, 370, 19, 94, 289, 469, 204, 268, 370, 19, 3076, 289, 2731, 204, 268, 370, 19, 3075, 68, 932, 289, 2322, 68, 932, 204, 268, 370, 19, 2640, 289, 1848, 204, 204, 676, 565, 434, 5619, 31, 204, 264, 320, 37657, 2986, 348, 17322, 440, 17286, 88, 1279, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 1879, 204, 204, 264, 436, 636, 68, 71, 36166, 13, 327, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 4071, 273, 458, 302, 17286, 88, 497, 13834, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 1174, 273, 458, 302, 2731, 329, 273, 458, 302, 17286, 88, 19, 204, 268, 320, 204, 268, 2082, 19, 1270, 611, 21822, 1780, 17286, 88, 497, 13834, 534, 204, 268, 810, 31, 204, 305, 958, 289, 2164, 19, 2288, 13, 3668, 12087, 3225, 22701, 68, 3778, 17, 1875, 34, 3668, 12087, 3225, 22701, 68, 23785, 14, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 204, 268, 827, 2164, 19, 6866, 448, 318, 31, 204, 305, 2082, 19, 718, 13, 75, 7, 596, 4461, 824, 311, 13834, 31, 463, 74, 743, 204, 305, 407, 2087, 204, 204, 268, 1563, 289, 370, 19, 1616, 68, 1935, 13, 1935, 19, 1775, 1447, 204, 268, 407, 1563, 204, 204, 264, 436, 1352, 68, 1935, 13, 327, 17, 958, 31, 1061, 14, 393, 1061, 31, 204, 268, 320, 204, 268, 9506, 275, 13834, 958, 329, 2584, 275, 1563, 19, 204, 204, 268, 457, 31, 204, 268, 338, 958, 322, 1665, 330, 334, 13834, 958, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 955, 1174, 273, 458, 302, 2731, 329, 273, 458, 302, 17286, 88, 19, 204, 268, 320, 204, 268, 1563, 289, 2552, 3076, 597, 7541, 379, 1241, 3029, 597, 29819, 204, 268, 1842, 289, 1306, 204, 268, 17286, 88, 289, 1306, 204, 268, 944, 68, 765, 289, 500, 204, 268, 348, 6382, 292, 958, 736, 13944, 657, 4976, 2207, 4976, 23381, 5441, 204, 305, 1627, 68, 93, 289, 500, 204, 305, 1627, 68, 94, 289, 500, 204, 305, 17286, 68, 359, 289, 1607, 204, 305, 944, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1915, 289, 1306, 204, 305, 6978, 289, 5607, 204, 305, 7599, 68, 2640, 289, 5607, 204, 305, 348, 1103, 292, 6382, 736, 2207, 4976, 23381, 5441, 204, 485, 6134, 289, 1103, 736, 2207, 68, 11224, 4976, 19502, 4976, 19502, 6970, 21, 6690, 68, 3112, 839, 204, 485, 1848, 289, 370, 19, 505, 68, 2640, 13, 6600, 736, 1835, 2043, 6134, 736, 11497, 2378, 204, 485, 944, 289, 4534, 13, 6600, 736, 9123, 2191, 2043, 6134, 736, 9123, 2191, 839, 42231, 15311, 325, 13, 6600, 736, 46817, 4697, 1701, 11028, 1848, 17, 6134, 736, 93, 2043, 6134, 736, 94, 2378, 204, 485, 1842, 19, 1223, 13, 1241, 3925, 873, 4422, 204, 485, 1627, 68, 93, 1412, 6134, 736, 93, 839, 204, 485, 1627, 68, 94, 1412, 6134, 736, 94, 839, 204, 485, 17286, 68, 359, 289, 6134, 736, 46817, 4697, 1701, 839, 204, 485, 944, 68, 1915, 19, 1223, 13, 1241, 68, 765, 14, 204, 485, 944, 68, 765, 1412, 368, 204, 485, 6978, 289, 6134, 736, 11497, 839, 204, 305, 17286, 289, 565, 434, 611, 39, 434, 15311, 325, 13, 46817, 68, 359, 659, 1627, 68, 93, 802, 435, 17, 1627, 68, 94, 802, 435, 17, 944, 68, 1915, 17, 6978, 17, 7599, 68, 2640, 14, 204, 305, 17286, 88, 19, 1223, 13, 46817, 3925, 873, 4422, 204, 204, 268, 1563, 736, 3076, 839, 289, 1842, 204, 268, 1563, 736, 1241, 3029, 839, 289, 17286, 88, 204, 268, 407, 1563, 204, 204, 264, 436, 636, 68, 2640, 13, 327, 17, 1714, 31, 394, 17, 6978, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 275, 1848, 1609, 523, 275, 1714, 329, 6978, 19, 204, 204, 268, 457, 31, 204, 268, 338, 1714, 322, 325, 330, 334, 1714, 302, 275, 944, 19, 204, 268, 338, 6978, 322, 325, 330, 334, 6978, 302, 275, 944, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 1848, 302, 275, 944, 19, 204, 268, 320, 204, 268, 397, 1714, 564, 379, 4056, 12, 329, 6978, 564, 379, 6735, 597, 204, 305, 407, 379, 6267, 12, 204, 268, 1677, 1714, 564, 379, 4056, 12, 329, 6978, 564, 379, 22013, 597, 204, 305, 407, 379, 44331, 12, 204, 268, 1677, 1714, 564, 379, 9041, 597, 204, 305, 407, 379, 17903, 12, 204, 268, 902, 31, 204, 305, 407, 379, 747, 12, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 17286, 68, 3823, 289, 565, 434, 5619, 374, 204, 264, 1563, 289, 17286, 68, 3823, 19, 505, 68, 71, 36166, 374, 204, 264, 456, 13, 2826, 14, 204, 0, 315, 204, 3732, 348, 23173, 275, 45766, 12594, 1964, 292, 275, 34735, 4712, 19, 204, 315, 204, 204, 531, 13072, 19, 26395, 19, 12249, 532, 4080, 204, 204, 461, 4080, 68, 5010, 68, 5719, 13, 204, 264, 1964, 68, 359, 31, 394, 17, 716, 264, 2901, 68, 1096, 31, 394, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6676, 273, 2363, 1964, 292, 275, 34735, 4712, 19, 204, 204, 264, 457, 31, 204, 264, 338, 1964, 68, 359, 322, 325, 330, 334, 2220, 4634, 348, 275, 1964, 19, 204, 264, 338, 2901, 68, 1096, 322, 325, 330, 334, 2901, 917, 348, 275, 1964, 19, 204, 204, 264, 1632, 31, 204, 264, 338, 1319, 31, 828, 437, 908, 3459, 1882, 6718, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6676, 275, 2363, 1964, 204, 268, 4080, 13, 204, 305, 1276, 34, 5719, 68, 359, 17, 204, 305, 2901, 68, 1096, 34, 4320, 68, 1096, 17, 204, 268, 1179, 204, 268, 456, 13, 75, 7, 25147, 9882, 1964, 31, 463, 5719, 68, 359, 743, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2744, 496, 1336, 1882, 6718, 204, 268, 456, 13, 75, 7, 596, 23173, 1964, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 6676, 275, 45766, 12594, 1964, 19, 204, 264, 320, 204, 264, 314, 968, 275, 1964, 1222, 329, 2901, 917, 204, 264, 1964, 68, 359, 289, 379, 41444, 12594, 18, 91, 21, 12, 204, 264, 2901, 68, 1096, 289, 379, 20850, 68, 41444, 12594, 19, 26395, 31, 56, 23867, 12594, 12611, 12, 204, 204, 264, 314, 6676, 275, 45766, 12594, 1964, 204, 264, 4080, 68, 5010, 68, 5719, 13, 5719, 68, 359, 17, 2901, 68, 1096, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 40, 7930, 302, 275, 346, 14907, 31513, 204, 40, 7930, 302, 275, 346, 14907, 31513, 204, 673, 5127, 329, 3253, 302, 275, 8508, 354, 31513, 867, 273, 5024, 1283, 22076, 329, 22817, 280, 1015, 928, 18204, 3332, 275, 3226, 302, 25302, 329, 275, 19155, 6759, 302, 36105, 19, 334, 8187, 302, 25302, 8923, 273, 19155, 13107, 311, 275, 10927, 13709, 19, 334, 11052, 302, 275, 19155, 42982, 335, 366, 272, 292, 25302, 33116, 756, 275, 19208, 302, 40804, 923, 93, 288, 329, 275, 27716, 302, 5936, 677, 36417, 19, 46799, 21801, 1015, 7870, 275, 14531, 29874, 2927, 23969, 39564, 1580, 311, 275, 19155, 3226, 302, 25302, 329, 275, 11575, 19, 10303, 275, 3226, 302, 25302, 867, 8923, 560, 275, 22473, 638, 624, 275, 10927, 39564, 1015, 2080, 1742, 19923, 7399, 15690, 311, 6321, 275, 19155, 3226, 19, 592, 931, 4452, 25302, 867, 4768, 560, 275, 13687, 6464, 17, 1415, 6900, 497, 275, 23523, 302, 10033, 15081, 1257, 19, 18133, 22076, 1466, 3284, 638, 747, 329, 275, 4017, 22076, 1466, 12331, 754, 37441, 496, 7870, 5936, 409, 509, 1880, 1466, 33510, 747, 311, 9421, 292, 8508, 354, 31513, 19, 4171, 5107, 40511, 5293, 273, 14108, 302, 1418, 796, 344, 7870, 6017, 329, 2444, 934, 7175, 275, 18108, 311, 31564, 275, 19155, 15044, 497, 275, 24619, 302, 275, 388, 3643, 23739, 3343, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 18133, 10927, 46799, 21801, 1015, 3284, 638, 747, 292, 25302, 204, 32790, 275, 4744, 22076, 490, 867, 6183, 273, 284, 1750, 329, 3223, 3087, 1750, 1249, 311, 44590, 273, 14193, 311, 1429, 23969, 2481, 19, 471, 48382, 867, 490, 6183, 496, 273, 39564, 550, 311, 275, 3623, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 496, 2080, 1742, 8492, 73, 560, 275, 5301, 302, 275, 387, 26068, 580, 302, 275, 2688, 17, 311, 275, 19155, 8187, 496, 2080, 35875, 1704, 26805, 20875, 7827, 17, 867, 273, 38329, 447, 284, 1750, 48347, 17, 329, 1051, 928, 33470, 348, 275, 39564, 82, 275, 4338, 6972, 329, 44318, 302, 45162, 19, 334, 22473, 638, 278, 2074, 579, 11090, 17, 348, 275, 3420, 15056, 329, 1182, 496, 1250, 8923, 30267, 302, 36105, 17, 47008, 5971, 437, 769, 3676, 7175, 4643, 8206, 275, 39564, 1015, 17, 2219, 26753, 39564, 1580, 448, 273, 2139, 302, 12918, 19, 3846, 292, 275, 15552, 41133, 6129, 275, 10431, 79, 8349, 1516, 13687, 6464, 17, 273, 21253, 313, 514, 290, 27459, 329, 27633, 42714, 18701, 302, 22246, 17, 306, 5243, 336, 497, 275, 2074, 579, 11090, 7510, 830, 1017, 3242, 78, 1979, 48343, 19, 334, 22076, 1466, 508, 2482, 292, 2318, 4616, 496, 2347, 2080, 26564, 1025, 717, 8650, 19, 18133, 10927, 46799, 21801, 1015, 1466, 4811, 439, 336, 329, 841, 277, 3533, 336, 292, 2589, 2501, 19, 334, 25763, 292, 25302, 1466, 16356, 521, 12098, 1025, 406, 6692, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 45880, 852, 2925, 380, 204, 3719, 490, 1466, 273, 3223, 3087, 1750, 7936, 311, 1895, 273, 39564, 550, 311, 275, 19155, 42982, 335, 366, 272, 17, 3171, 1182, 1784, 490, 444, 273, 284, 1750, 1249, 311, 31564, 275, 23969, 9940, 497, 275, 5005, 291, 344, 302, 2296, 591, 3391, 19, 1058, 867, 275, 47816, 496, 7716, 275, 39564, 82, 1025, 273, 35117, 17, 808, 867, 275, 10424, 496, 348, 970, 15056, 329, 1182, 33510, 747, 275, 10927, 2688, 311, 1163, 426, 973, 350, 4418, 24616, 17, 329, 9935, 275, 3390, 302, 6017, 292, 5054, 1877, 5054, 6982, 14109, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 334, 7401, 6149, 311, 47923, 204, 14884, 808, 10641, 13896, 867, 275, 9758, 3253, 302, 275, 346, 14907, 31513, 17, 3848, 1422, 867, 3161, 378, 36351, 3253, 928, 1631, 508, 444, 42103, 19, 1058, 867, 275, 3022, 3275, 17, 19776, 4067, 354, 10985, 302, 275, 3503, 312, 13078, 22554, 302, 6017, 17, 1415, 2080, 508, 448, 7301, 685, 76, 6314, 1017, 4184, 71, 10401, 38651, 88, 19, 334, 1553, 42314, 13781, 1500, 329, 317, 5413, 17, 2842, 3303, 40244, 560, 275, 18348, 10985, 302, 556, 4089, 569, 17, 1466, 3060, 7829, 311, 769, 655, 292, 437, 48347, 754, 30769, 440, 1017, 26805, 464, 16542, 329, 1017, 717, 9539, 88, 302, 13781, 21442, 1645, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 334, 2680, 6492, 302, 16367, 275, 8880, 2392, 204, 673, 16171, 3253, 302, 275, 6867, 346, 14907, 4949, 867, 275, 678, 6492, 302, 16367, 275, 8880, 2392, 17, 273, 11525, 302, 35094, 619, 94, 17, 292, 12014, 19, 26080, 1742, 37835, 560, 29026, 33940, 8392, 19, 311, 678, 714, 273, 8508, 354, 4949, 17, 275, 8880, 2392, 48040, 830, 18461, 329, 12014, 17, 24654, 22098, 17, 292, 275, 11575, 17, 292, 275, 11428, 17, 329, 292, 275, 1451, 1242, 17, 275, 17254, 3436, 496, 283, 24041, 1465, 3850, 17, 5751, 830, 28064, 440, 20697, 23317, 521, 32329, 1475, 440, 1418, 796, 344, 17, 448, 566, 11025, 2197, 275, 9010, 880, 302, 1017, 1890, 427, 1268, 630, 275, 8650, 302, 275, 2296, 591, 3391, 17, 521, 7157, 73, 275, 5005, 291, 344, 302, 275, 27191, 6759, 17, 7911, 11584, 560, 275, 9920, 329, 4811, 27687, 302, 275, 794, 14118, 705, 1387, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 334, 45413, 302, 275, 13687, 6464, 204, 6617, 23626, 16367, 275, 8880, 2392, 2080, 1742, 40511, 6298, 275, 43628, 302, 275, 6939, 17, 275, 13687, 6464, 2080, 1742, 4461, 3324, 25821, 292, 275, 8934, 17, 329, 1466, 3303, 35658, 17570, 266, 1661, 5398, 19, 334, 12509, 35904, 322, 33509, 5717, 2303, 83, 278, 354, 14, 2312, 32389, 6072, 311, 275, 29026, 17, 15024, 348, 13887, 4238, 275, 2296, 591, 3391, 17, 2457, 496, 17, 14275, 16987, 867, 11586, 11084, 17, 275, 7695, 440, 830, 1163, 27191, 304, 729, 88, 1631, 9759, 5573, 1025, 275, 8650, 302, 275, 4184, 71, 26026, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 29026, 33940, 8392, 2343, 275, 13631, 302, 346, 1375, 27513, 204, 16710, 396, 33940, 8392, 3250, 273, 4382, 26005, 302, 275, 11052, 630, 27298, 1325, 1257, 17, 292, 18461, 17, 311, 2506, 275, 24334, 322, 1003, 4957, 659, 1101, 9430, 867, 2620, 336, 19, 25926, 292, 275, 1729, 1324, 273, 717, 26005, 867, 17266, 336, 630, 346, 1375, 27513, 17, 292, 12014, 17, 29026, 33940, 2893, 538, 7901, 43191, 275, 2481, 302, 9328, 4751, 275, 8862, 1934, 14725, 329, 26805, 464, 17417, 88, 19, 29026, 33940, 8392, 10566, 867, 1051, 302, 275, 15599, 24446, 19, 2474, 867, 16428, 48990, 411, 319, 17, 754, 496, 275, 1064, 17, 275, 3253, 17, 329, 275, 18144, 830, 1681, 10433, 311, 7940, 1051, 302, 275, 8595, 1659, 1411, 11090, 302, 3651, 521, 5376, 19, 29026, 33940, 8392, 7157, 73, 275, 2888, 19189, 329, 6976, 868, 302, 275, 27240, 302, 14109, 32, 275, 5005, 291, 344, 302, 275, 6759, 2927, 23969, 560, 275, 9920, 329, 6789, 4593, 302, 275, 22412, 302, 5608, 19, 29026, 33940, 8392, 1675, 10660, 275, 38398, 88, 302, 275, 13687, 6464, 17, 3119, 3303, 17, 440, 830, 14109, 39984, 292, 1017, 30267, 17, 1250, 1466, 35658, 6017, 497, 275, 48608, 302, 275, 8717, 793, 634, 89, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 338, 388, 3837, 353, 275, 1120, 302, 5608, 7, 204, 7, 5681, 11297, 5936, 1066, 39159, 872, 311, 1704, 35171, 5167, 6926, 351, 11977, 275, 48990, 411, 319, 284, 2797, 7583, 17, 388, 1592, 1236, 1034, 42964, 355, 797, 872, 292, 1214, 13182, 32, 1415, 1826, 1120, 38930, 1704, 4554, 17, 521, 1704, 9217, 17, 521, 1704, 8453, 17, 521, 1704, 14310, 17, 521, 1704, 2804, 17, 521, 1704, 29119, 17, 348, 275, 31904, 302, 2745, 588, 17, 10634, 444, 304, 1668, 20914, 273, 7584, 18, 7951, 17, 329, 22818, 3307, 35139, 3343, 8278, 275, 42844, 302, 275, 15596, 15995, 25941, 1924, 2589, 3022, 4274, 19, 5424, 1051, 10802, 1250, 279, 7141, 17, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 388, 45453, 90, 604, 36192, 6, 21059, 90, 604, 36192, 9851, 5268, 388, 3837, 353, 275, 1120, 302, 5608, 6, 1547, 353, 275, 1120, 302, 5608, 9851, 2767, 36211, 11084, 3580, 4272, 275, 4393, 311, 1017, 12992, 1320, 448, 273, 284, 4939, 302, 1017, 23969, 23746, 311, 1307, 18795, 311, 275, 31564, 302, 275, 19155, 42982, 335, 366, 272, 19, 334, 11543, 21843, 2344, 302, 9907, 302, 275, 2631, 1324, 322, 1003, 5007, 14, 867, 758, 348, 275, 17350, 302, 275, 29717, 338, 275, 346, 14907, 31513, 2080, 24543, 19, 204, 40, 7930, 302, 275, 346, 14907, 31513, 204, 17132, 4446, 302, 808, 14531, 29874, 5885, 8426, 830, 7993, 329, 3629, 9764, 10942, 329, 1483, 1465, 1605, 4382, 1880, 329, 3780, 292, 560, 42180, 47360, 2666, 2864, 346, 7930, 302, 275, 346, 14907, 31513, 2617, 334, 16676, 1608, 3629, 3101, 3695, 302, 830, 302, 275, 1483, 329, 10942, 1917, 1465, 275, 24823, 3397, 302, 275, 14531, 29874, 6, 0, 647, 1127, 204, 204, 461, 15549, 68, 2375, 68, 266, 68, 2100, 13, 2100, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 36297, 1860, 292, 275, 1713, 1445, 560, 7057, 275, 1673, 1085, 302, 275, 510, 588, 2518, 275, 5674, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 1860, 311, 444, 27959, 19, 204, 204, 264, 1632, 31, 204, 268, 3180, 31, 828, 275, 1713, 1445, 1583, 508, 1337, 19, 204, 268, 24838, 31, 828, 7312, 353, 18698, 348, 275, 1713, 1445, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1861, 1048, 848, 510, 292, 275, 1445, 204, 268, 348, 510, 68, 417, 292, 1127, 19, 8970, 13, 2100, 330, 204, 305, 314, 763, 275, 510, 832, 329, 5674, 204, 305, 510, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 2100, 17, 510, 68, 417, 14, 204, 305, 397, 1127, 19, 546, 19, 13226, 13, 553, 68, 546, 330, 226, 314, 778, 397, 490, 677, 273, 510, 204, 485, 314, 3736, 275, 510, 588, 1025, 3576, 329, 3142, 275, 1673, 1085, 2518, 275, 5674, 204, 485, 510, 68, 417, 68, 6719, 289, 510, 68, 417, 19, 1590, 22361, 431, 9128, 22, 66, 204, 485, 510, 68, 8637, 289, 1127, 19, 546, 19, 17752, 13, 553, 68, 417, 5604, 22, 66, 226, 314, 763, 275, 510, 5674, 204, 485, 314, 9828, 275, 4017, 3576, 1818, 1025, 273, 782, 329, 6283, 275, 510, 5674, 204, 485, 717, 68, 553, 68, 417, 289, 12895, 2948, 1541, 13, 553, 68, 417, 68, 6719, 14, 465, 510, 68, 8637, 204, 485, 314, 12596, 275, 510, 204, 485, 717, 68, 553, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 2100, 17, 717, 68, 553, 68, 417, 14, 204, 485, 1127, 19, 14925, 13, 553, 68, 546, 17, 717, 68, 553, 68, 546, 14, 204, 485, 314, 456, 13, 75, 7, 32662, 73, 463, 553, 68, 417, 98, 311, 463, 1957, 68, 553, 68, 417, 743, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 13788, 463, 2100, 98, 508, 1193, 1280, 204, 264, 827, 24838, 31, 204, 268, 456, 13, 75, 7, 18474, 18698, 348, 1445, 463, 2100, 12443, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 311, 4490, 275, 510, 30811, 1352, 292, 3536, 7887, 19, 204, 264, 320, 204, 264, 314, 968, 275, 7887, 311, 1352, 204, 264, 7887, 68, 633, 68, 1616, 289, 551, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 6418, 39, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 4721, 39, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 6418, 40, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 4721, 40, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 6418, 40, 22, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 4721, 40, 22, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 6418, 40, 23, 528, 204, 268, 6040, 42798, 20, 7648, 22, 20, 13152, 619, 68, 5267, 84, 20, 1982, 339, 68, 481, 20, 1676, 68, 12499, 68, 481, 20, 4721, 40, 23, 7, 204, 264, 2437, 204, 615, 264, 314, 3325, 848, 1445, 204, 264, 348, 1445, 292, 7887, 68, 633, 68, 1616, 31, 204, 268, 15549, 68, 2375, 68, 266, 68, 2100, 13, 2100, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 12378, 3747, 382, 22849, 273, 9328, 292, 11343, 17, 10676, 19, 7954, 1422, 17, 382, 7117, 275, 10931, 311, 1307, 15558, 9968, 299, 19, 334, 7157, 311, 275, 1824, 5913, 275, 6509, 9297, 302, 275, 1200, 19, 18815, 4419, 88, 5343, 302, 275, 8105, 12901, 19, 13842, 311, 334, 12901, 302, 13530, 17, 275, 8105, 12901, 17334, 7476, 497, 3332, 275, 2688, 1924, 1163, 44343, 3599, 496, 6019, 39515, 17, 10105, 17, 28785, 17, 40081, 17, 5538, 329, 26275, 17, 6068, 3703, 17, 329, 5316, 32535, 19, 4682, 382, 4371, 523, 273, 18612, 17, 382, 867, 508, 5096, 311, 4080, 348, 273, 33320, 15837, 521, 10647, 1169, 302, 275, 19746, 6527, 3329, 448, 1250, 1466, 7106, 32, 5862, 17, 382, 867, 5096, 311, 3020, 275, 21056, 6901, 361, 286, 71, 2603, 29016, 496, 12784, 1429, 302, 275, 8105, 12901, 884, 88, 2577, 16275, 19, 334, 21994, 6999, 4744, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 10537, 302, 275, 8503, 12424, 15403, 17, 275, 31005, 360, 18857, 656, 501, 865, 47300, 329, 904, 28866, 11013, 39515, 17, 27640, 28182, 3121, 28659, 1697, 884, 88, 15228, 17, 31750, 497, 5589, 12400, 322, 38, 707, 278, 17, 565, 4602, 133, 110, 17, 502, 13334, 17, 27749, 659, 329, 6068, 39515, 322, 7937, 2939, 32905, 17, 21415, 9142, 17, 45267, 514, 17, 329, 275, 34677, 793, 789, 334, 13023, 302, 808, 21994, 867, 273, 4028, 302, 8449, 3662, 12613, 70, 329, 3610, 6973, 31, 275, 34562, 302, 275, 9612, 2527, 322, 416, 28184, 659, 273, 1598, 1909, 47435, 2151, 302, 8449, 3662, 12613, 70, 17, 329, 275, 653, 19245, 3000, 24984, 302, 8449, 3662, 12613, 70, 19, 204, 673, 7157, 311, 275, 1629, 5913, 275, 6509, 19157, 311, 334, 21682, 13932, 17, 275, 6862, 11603, 292, 275, 5269, 20318, 17, 8441, 523, 275, 15028, 1653, 302, 24130, 9748, 19, 334, 11603, 12052, 1163, 2852, 448, 1622, 7602, 447, 20761, 302, 275, 5269, 20318, 884, 88, 18496, 302, 9350, 17, 35446, 9443, 33964, 329, 39682, 5229, 275, 1451, 2817, 302, 24130, 9748, 17, 440, 275, 904, 970, 2902, 13731, 560, 275, 23137, 322, 1947, 43698, 5343, 14, 329, 275, 11575, 322, 25647, 885, 2834, 43111, 1707, 789, 1001, 204, 18226, 17, 273, 5879, 311, 11343, 1784, 444, 19702, 2900, 273, 7157, 302, 24130, 329, 12896, 11565, 322, 36828, 447, 275, 40566, 302, 6939, 885, 2834, 789, 13923, 292, 275, 5269, 5439, 17, 13169, 1741, 19860, 329, 9573, 275, 39682, 292, 2086, 19, 334, 8727, 4774, 529, 1451, 311, 275, 3566, 1330, 275, 552, 8607, 322, 25043, 302, 25077, 329, 9354, 302, 480, 5413, 14, 529, 18282, 19, 334, 9354, 302, 480, 5413, 867, 508, 292, 2067, 1330, 382, 4371, 17, 1101, 382, 867, 5096, 19860, 273, 317, 3498, 17527, 292, 275, 9354, 302, 25077, 3217, 271, 3855, 521, 508, 311, 732, 9604, 2955, 292, 21762, 19, 204, 5039, 13439, 4166, 17, 24130, 9748, 6019, 6939, 885, 2834, 43111, 1707, 19, 3665, 618, 3020, 275, 1913, 302, 1163, 970, 32555, 2842, 311, 275, 1629, 302, 12896, 11565, 292, 808, 7157, 19, 334, 43111, 1707, 353, 27062, 336, 292, 3511, 448, 490, 869, 1742, 1376, 348, 23516, 22723, 657, 3522, 931, 4920, 329, 353, 275, 2423, 32641, 2481, 348, 19875, 29406, 28994, 88, 19, 334, 43111, 1707, 1425, 869, 15548, 6068, 329, 11138, 27041, 88, 329, 11025, 17097, 7870, 275, 1324, 19, 382, 22849, 1051, 302, 275, 4476, 3389, 11025, 17097, 496, 529, 8923, 523, 18612, 2219, 880, 329, 14006, 5979, 11005, 1993, 1370, 4569, 46151, 7504, 8305, 322, 43510, 291, 36961, 351, 360, 17, 42573, 623, 412, 29329, 9640, 5733, 17, 19725, 418, 565, 33664, 789, 5860, 302, 872, 1741, 444, 41567, 2075, 353, 754, 2220, 1465, 437, 3389, 11025, 2764, 329, 2075, 490, 869, 311, 770, 440, 4260, 12947, 521, 275, 3938, 19, 12767, 19, 11005, 1993, 884, 88, 30751, 7506, 496, 566, 15101, 630, 44022, 12661, 17, 19804, 1273, 566, 8923, 437, 3389, 35900, 17, 329, 496, 566, 353, 273, 42055, 302, 275, 18626, 12661, 302, 11460, 2156, 19, 15386, 17177, 17, 566, 1425, 22635, 448, 273, 1170, 323, 3087, 329, 11845, 12537, 329, 4316, 3938, 19, 2026, 1910, 1880, 529, 1422, 292, 275, 2688, 496, 10807, 273, 10266, 8008, 440, 273, 14214, 448, 273, 27041, 3389, 337, 36, 0, 531, 1169, 3150, 532, 4534, 204, 204, 676, 7841, 26919, 31, 204, 264, 320, 204, 264, 332, 850, 1376, 311, 2216, 5357, 292, 273, 1948, 4457, 19, 204, 204, 264, 1532, 31, 204, 264, 6036, 204, 264, 588, 1164, 394, 204, 268, 334, 588, 302, 275, 1948, 311, 2216, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 330, 204, 268, 320, 204, 268, 977, 273, 7841, 26919, 440, 273, 800, 588, 19, 204, 204, 268, 1164, 2394, 588, 31, 334, 588, 302, 275, 1948, 311, 2216, 19, 204, 268, 320, 204, 268, 370, 19, 417, 289, 588, 204, 204, 264, 1642, 4460, 204, 264, 436, 7943, 68, 9483, 13, 2119, 68, 4509, 31, 458, 17, 3370, 31, 421, 14, 393, 421, 31, 204, 268, 320, 204, 268, 10248, 6943, 292, 275, 1948, 4457, 19, 204, 204, 268, 1164, 2394, 1948, 68, 4509, 31, 334, 458, 302, 5357, 19, 204, 268, 1164, 2394, 3370, 31, 334, 790, 1502, 292, 275, 1948, 4457, 19, 204, 268, 1164, 3309, 31, 334, 2908, 3370, 1502, 19, 204, 268, 320, 204, 268, 314, 10248, 6943, 292, 275, 1948, 4457, 204, 268, 1335, 3370, 962, 1245, 13, 2119, 68, 4509, 14, 329, 688, 204, 485, 1948, 68, 4509, 64, 4322, 1664, 417, 292, 2470, 21645, 46, 68, 47101, 491, 379, 47992, 68, 47101, 5441, 204, 305, 3370, 1412, 368, 204, 268, 407, 3370, 204, 204, 264, 436, 1356, 13, 327, 17, 1948, 68, 4509, 31, 458, 17, 3370, 31, 421, 17, 2260, 68, 1241, 31, 4534, 14, 393, 927, 64, 2107, 17, 421, 744, 204, 268, 320, 204, 268, 778, 397, 275, 790, 1948, 4083, 275, 800, 588, 19, 204, 204, 268, 1164, 2394, 1948, 68, 4509, 31, 334, 458, 302, 5357, 19, 204, 268, 1164, 2394, 3370, 31, 334, 790, 1502, 292, 275, 1948, 4457, 19, 204, 268, 1164, 2394, 2260, 68, 1241, 31, 334, 2260, 944, 311, 9380, 275, 12390, 1948, 311, 19, 204, 268, 1164, 3309, 31, 332, 927, 1174, 273, 8051, 5850, 3855, 275, 1948, 4083, 329, 275, 2908, 3370, 1502, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1948, 4457, 353, 31371, 204, 268, 397, 3370, 3721, 1245, 13, 2119, 68, 4509, 330, 204, 305, 980, 987, 499, 7545, 4457, 31371, 431, 204, 204, 268, 314, 778, 397, 275, 790, 1948, 4083, 275, 800, 588, 204, 268, 397, 370, 19, 417, 564, 379, 16162, 597, 204, 305, 407, 959, 17, 3370, 204, 268, 397, 1948, 68, 4509, 64, 4322, 1664, 417, 564, 370, 19, 417, 31, 204, 305, 314, 666, 273, 717, 944, 440, 275, 800, 2260, 944, 204, 305, 370, 806, 1510, 68, 1241, 13, 3619, 68, 1241, 17, 1948, 68, 4509, 64, 4322, 1664, 417, 14, 204, 305, 314, 10248, 6943, 292, 275, 1948, 4457, 204, 305, 3370, 289, 7841, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 26919, 19, 12349, 68, 9483, 13, 2119, 68, 4509, 17, 3370, 465, 368, 14, 204, 305, 407, 959, 17, 3370, 204, 268, 407, 1078, 17, 3370, 204, 204, 264, 436, 906, 1510, 68, 1241, 13, 327, 17, 2260, 68, 1241, 31, 4534, 17, 1948, 68, 417, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 944, 440, 275, 800, 2260, 944, 19, 204, 204, 268, 1164, 2394, 2260, 68, 1241, 31, 334, 2260, 944, 311, 9380, 275, 717, 944, 311, 19, 204, 268, 1164, 2394, 1948, 68, 417, 31, 334, 588, 302, 275, 1948, 19, 204, 268, 320, 204, 268, 314, 666, 273, 717, 944, 440, 275, 800, 2260, 944, 204, 268, 4534, 13, 75, 1954, 2119, 68, 417, 7449, 359, 13, 3619, 68, 1241, 36360, 2260, 34, 3619, 68, 1241, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 676, 7841, 31, 204, 264, 436, 589, 924, 889, 327, 17, 588, 31, 394, 330, 204, 268, 370, 19, 417, 289, 588, 204, 204, 8, 666, 273, 1948, 4457, 204, 2119, 68, 4509, 289, 551, 7545, 611, 9237, 22, 2008, 7841, 611, 21645, 46, 68, 47101, 2008, 7841, 611, 9237, 23, 10116, 204, 204, 8, 666, 273, 1610, 944, 204, 2125, 68, 1241, 289, 4534, 611, 19088, 534, 204, 204, 8, 666, 273, 1948, 24597, 204, 27627, 289, 7841, 26919, 611, 9237, 22, 534, 204, 204, 8, 778, 397, 275, 790, 1948, 4083, 275, 800, 588, 204, 4322, 289, 500, 204, 9274, 17, 3370, 289, 24597, 19, 2555, 13, 2119, 68, 4509, 17, 3370, 17, 1610, 68, 1241, 14, 204, 204, 2102, 13, 9274, 14, 226, 314, 3215, 31, 959, 204, 2102, 13, 4322, 14, 262, 314, 3215, 31, 435, 204, 0, 39, 32494, 272, 8907, 22855, 27957, 31020, 1193, 802, 5672, 2834, 1750, 22686, 14693, 1331, 497, 690, 302, 501, 3954, 19505, 19361, 204, 30210, 681, 31, 473, 3315, 17, 20314, 17, 11261, 3139, 17, 14259, 204, 837, 275, 1602, 73, 608, 49050, 302, 15028, 8971, 4558, 275, 14032, 1516, 15955, 17, 11742, 7715, 43056, 273, 2590, 292, 273, 2786, 555, 509, 48024, 5544, 2181, 8518, 1466, 44043, 5311, 311, 9940, 273, 1786, 269, 17, 6251, 702, 354, 27957, 31020, 18282, 5880, 13691, 10501, 10810, 5301, 1873, 292, 275, 28737, 19, 204, 673, 2590, 18, 2990, 7715, 12098, 1017, 23506, 41124, 1516, 1048, 311, 387, 19, 41, 19, 565, 10422, 90, 17, 273, 22864, 47361, 1415, 15342, 311, 444, 292, 275, 13736, 497, 275, 313, 17278, 8385, 10249, 630, 15182, 2767, 422, 90, 12170, 23796, 784, 298, 555, 17, 275, 7695, 302, 275, 9992, 1259, 302, 1144, 5382, 70, 19, 565, 10422, 90, 867, 15963, 29194, 19, 204, 6950, 3545, 566, 10524, 1169, 302, 1704, 18987, 2080, 7921, 5298, 273, 31020, 9395, 2090, 490, 19, 5424, 273, 21638, 4940, 607, 17, 357, 46361, 6497, 27957, 7498, 17, 4720, 9621, 329, 273, 10652, 35834, 348, 8907, 22855, 1025, 275, 4410, 17, 490, 15575, 2090, 5805, 19036, 19, 23624, 490, 867, 19, 204, 673, 31020, 17, 490, 12098, 685, 17, 867, 273, 4985, 302, 273, 23919, 7843, 4680, 302, 273, 23919, 7843, 25740, 302, 273, 23919, 7843, 4316, 302, 34841, 5187, 3119, 3303, 437, 1600, 360, 7404, 4985, 302, 273, 22376, 27459, 302, 388, 39472, 34841, 7, 496, 529, 3556, 311, 542, 1182, 1194, 681, 17, 10015, 4680, 19, 204, 673, 4316, 6644, 311, 1489, 1818, 1182, 1194, 2031, 5857, 2181, 311, 273, 690, 1330, 9916, 329, 8971, 1466, 12174, 292, 273, 2875, 15596, 2234, 40138, 3303, 3250, 501, 3954, 19505, 19361, 19, 4596, 7669, 5857, 2181, 8518, 496, 22419, 2080, 13273, 719, 1025, 12268, 302, 3623, 14422, 496, 6999, 17679, 38282, 5365, 17, 275, 387, 1707, 47282, 793, 17, 329, 275, 15028, 501, 1539, 88, 302, 8971, 19, 204, 5681, 8849, 12146, 273, 2875, 717, 4680, 302, 1169, 6555, 490, 677, 13832, 3253, 348, 304, 13628, 17330, 32, 41598, 437, 15491, 717, 25740, 7987, 348, 20308, 830, 3332, 275, 17804, 17, 1101, 41598, 273, 4835, 717, 4316, 440, 1163, 860, 3083, 25740, 329, 4680, 618, 1895, 273, 14214, 19, 204, 1834, 717, 1051, 869, 1742, 800, 275, 798, 45407, 588, 302, 392, 402, 3278, 429, 37664, 366, 354, 1533, 4312, 73, 272, 853, 360, 17, 273, 4985, 302, 275, 717, 4316, 3250, 275, 392, 402, 3278, 429, 37664, 366, 30490, 19, 392, 402, 15878, 353, 48514, 348, 17987, 32, 6174, 321, 366, 354, 3210, 31020, 17, 329, 275, 4680, 588, 17, 1533, 4312, 73, 272, 853, 360, 17, 11647, 311, 275, 12921, 501, 1539, 88, 17, 275, 33957, 4558, 8971, 677, 8625, 10828, 1273, 275, 31020, 7977, 17, 565, 10422, 90, 13171, 19, 204, 43, 5246, 94, 5166, 333, 90, 33401, 17, 437, 24702, 10604, 337, 630, 275, 565, 14907, 32861, 12955, 4639, 292, 41285, 17, 15575, 630, 275, 31020, 677, 8998, 348, 22641, 1465, 1163, 11091, 19, 2474, 21742, 496, 1465, 1607, 5857, 2181, 8518, 17, 275, 392, 402, 3278, 429, 37664, 366, 30490, 4316, 3404, 2258, 497, 10407, 5131, 302, 275, 31020, 37598, 19, 204, 17872, 302, 275, 31020, 13209, 560, 565, 10422, 90, 329, 275, 8998, 4249, 560, 5166, 333, 90, 33401, 529, 6193, 808, 3747, 292, 275, 10315, 16476, 329, 529, 2861, 12511, 437, 8924, 33510, 19, 204, 7, 46, 12119, 23055, 19016, 11797, 5167, 6926, 351, 11977, 13809, 412, 10543, 301, 17, 48437, 329, 692, 730, 302, 2830, 9100, 6531, 630, 275, 10224, 18924, 302, 18452, 292, 10195, 21466, 17, 1415, 869, 47348, 34841, 329, 1017, 11091, 292, 4662, 10261, 5899, 348, 275, 5378, 2468, 2181, 19, 388, 1834, 353, 7051, 40110, 32, 490, 677, 44568, 20004, 3343, 0, 8, 4390, 3600, 6500, 204, 531, 1559, 20424, 286, 19, 7522, 532, 783, 204, 531, 1559, 20424, 286, 532, 13516, 286, 17, 10821, 17, 9166, 204, 531, 1559, 20424, 286, 532, 4840, 204, 647, 2454, 204, 647, 1567, 87, 204, 204, 8, 1255, 13165, 311, 1945, 2617, 17599, 28027, 6330, 204, 836, 87, 19, 4421, 17212, 611, 8177, 534, 204, 836, 87, 19, 4421, 17212, 611, 8177, 19, 5236, 534, 204, 836, 87, 19, 4421, 17212, 499, 8177, 19, 10184, 19, 2954, 88, 431, 204, 531, 6136, 19, 10184, 19, 2954, 88, 532, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 7837, 6754, 204, 204, 8, 968, 3454, 204, 9281, 289, 1078, 204, 2097, 12513, 68, 16503, 2214, 289, 1078, 204, 23344, 7660, 68, 31539, 10042, 68, 21680, 289, 500, 19, 3222, 204, 204, 461, 2037, 68, 14954, 13, 1454, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3740, 437, 10733, 943, 311, 275, 575, 19, 204, 204, 264, 457, 31, 204, 268, 943, 322, 325, 330, 334, 943, 311, 444, 11656, 19, 204, 264, 320, 204, 264, 7837, 6754, 19, 14625, 13, 1454, 14, 204, 204, 676, 29453, 11767, 31, 204, 264, 320, 204, 264, 2646, 273, 6220, 1525, 19, 204, 204, 264, 1532, 31, 204, 268, 2139, 68, 885, 322, 3349, 19, 31411, 330, 334, 2311, 917, 302, 275, 2139, 7587, 2871, 19, 204, 268, 2139, 68, 1129, 322, 3349, 19, 31411, 330, 334, 1646, 917, 302, 275, 2139, 7587, 2871, 19, 204, 268, 2984, 68, 885, 322, 3349, 19, 31411, 330, 334, 2311, 917, 302, 275, 4297, 7587, 2871, 19, 204, 268, 2984, 68, 1129, 322, 3349, 19, 31411, 330, 334, 1646, 917, 302, 275, 4297, 7587, 2871, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 370, 19, 3112, 68, 885, 289, 443, 204, 268, 370, 19, 3112, 68, 1129, 289, 443, 204, 268, 370, 19, 4418, 68, 885, 289, 443, 204, 268, 370, 19, 4418, 68, 1129, 289, 443, 204, 204, 461, 838, 68, 15611, 68, 12470, 13, 6228, 68, 12470, 31, 10821, 19, 32772, 14, 393, 10821, 19, 32772, 31, 204, 264, 320, 204, 264, 666, 273, 717, 5825, 440, 275, 1729, 8605, 292, 275, 4036, 2945, 19, 204, 204, 264, 457, 31, 204, 268, 2171, 68, 12470, 322, 3349, 19, 32772, 330, 334, 2171, 5825, 311, 444, 7563, 19, 204, 204, 264, 475, 31, 204, 268, 10821, 19, 32772, 31, 334, 7563, 5825, 19, 204, 264, 320, 204, 264, 397, 2381, 13, 6228, 68, 12470, 17, 10821, 19, 9576, 330, 204, 268, 314, 666, 273, 717, 1007, 440, 275, 1729, 8605, 292, 275, 4036, 2945, 204, 268, 407, 10821, 19, 9576, 19, 5964, 33302, 13, 6228, 68, 12470, 19, 5136, 10981, 6661, 13, 22, 659, 2171, 68, 12470, 19, 5136, 10981, 6661, 13, 21, 602, 204, 264, 407, 443, 204, 204, 461, 1688, 68, 35589, 68, 30123, 13, 35589, 31, 783, 64, 3349, 19, 32772, 694, 393, 783, 64, 3349, 19, 32772, 744, 204, 264, 320, 204, 264, 4641, 273, 458, 302, 14299, 311, 1895, 1475, 5728, 8783, 329, 34889, 311, 798, 273, 7106, 3546, 19, 204, 204, 264, 457, 31, 204, 268, 14299, 322, 1218, 64, 3349, 19, 32772, 1037, 334, 458, 302, 14299, 311, 444, 2282, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 3349, 19, 32772, 744, 334, 2282, 458, 302, 14299, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 1688, 275, 14299, 204, 264, 314, 1765, 6893, 5356, 17, 407, 275, 2171, 458, 204, 264, 407, 14299, 204, 204, 461, 6087, 68, 633, 68, 1529, 68, 4072, 13, 4803, 68, 13046, 31, 10821, 19, 31411, 14, 393, 10821, 19, 31411, 31, 204, 264, 320, 204, 264, 10134, 273, 917, 497, 6087, 2992, 311, 2013, 2992, 19, 204, 204, 264, 457, 31, 204, 268, 6087, 68, 13046, 322, 3349, 19, 31411, 330, 334, 917, 292, 6087, 2992, 19, 204, 204, 264, 475, 31, 204, 268, 10821, 19, 31411, 31, 334, 917, 292, 2013, 2992, 19, 204, 264, 320, 204, 264, 314, 4862, 275, 3975, 311, 3204, 275, 917, 204, 264, 314, 1765, 6893, 5356, 17, 407, 275, 2171, 917, 204, 264, 407, 6087, 68, 13046, 204, 204, 461, 758, 68, 12831, 68, 14055, 374, 393, 443, 31, 204, 264, 320, 204, 264, 1359, 275, 6824, 8042, 348, 273, 2013, 1609, 523, 273, 4285, 758, 302, 2238, 19, 204, 264, 320, 204, 264, 314, 763, 275, 4285, 2013, 898, 329, 8042, 2238, 204, 264, 4285, 68, 1529, 6568, 289, 551, 404, 348, 731, 292, 13516, 286, 19, 505, 68, 7419, 374, 397, 2381, 13, 404, 17, 10821, 19, 3244, 898, 2395, 204, 264, 4285, 68, 14055, 289, 551, 404, 348, 731, 292, 13516, 286, 19, 505, 68, 7419, 374, 397, 2381, 13, 404, 17, 10821, 19, 32772, 5476, 2395, 204, 204, 264, 314, 778, 397, 273, 2013, 898, 329, 8042, 2238, 529, 4285, 204, 264, 397, 508, 4285, 68, 1529, 6568, 521, 1245, 13, 9227, 68, 14055, 14, 962, 571, 31, 204, 268, 2037, 68, 14954, 611, 5213, 2694, 273, 2013, 898, 329, 273, 7106, 3546, 302, 7058, 2238, 5901, 204, 268, 407, 204, 204, 264, 314, 763, 275, 4285, 2013, 898, 329, 2013, 204, 264, 4285, 68, 37828, 289, 4285, 68, 1529, 6568, 64, 21, 66, 204, 264, 4285, 68, 1529, 289, 13516, 286, 19, 3228, 19, 5136, 5476, 13, 9227, 68, 37828, 19, 3244, 4729, 14, 204, 204, 264, 314, 3867, 6430, 275, 6824, 2871, 353, 4884, 204, 264, 397, 508, 4285, 68, 1529, 19, 29563, 6754, 25171, 31, 204, 268, 440, 13516, 286, 19, 14456, 611, 49107, 316, 19108, 14851, 4448, 204, 305, 4285, 68, 1529, 19, 29563, 6754, 25171, 289, 959, 204, 204, 264, 314, 4862, 275, 3975, 311, 758, 275, 6824, 8042, 204, 264, 314, 1765, 6893, 5356, 17, 770, 9430, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 311, 4490, 275, 3467, 19, 204, 264, 320, 204, 264, 397, 13516, 286, 19, 505, 68, 7419, 1293, 204, 268, 758, 68, 12831, 68, 14055, 374, 204, 264, 902, 31, 204, 268, 2037, 68, 14954, 611, 5213, 2694, 273, 2013, 898, 329, 273, 7106, 3546, 302, 7058, 2238, 5901, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 20210, 204, 531, 1498, 532, 1884, 17, 1061, 204, 204, 8, 968, 273, 3324, 348, 275, 17588, 4583, 896, 204, 33279, 68, 9187, 68, 4617, 289, 379, 25, 38451, 6007, 4734, 71, 27, 1150, 22, 74, 3699, 71, 24, 71, 25, 75, 29936, 74, 28, 1258, 1794, 3916, 24, 72, 2934, 71, 25, 73, 5049, 22, 75, 30, 39373, 72, 2562, 70, 9783, 5235, 2562, 30, 40994, 336, 27, 12, 204, 204, 461, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 838, 68, 2609, 68, 2196, 270, 68, 2119, 13, 2609, 68, 2196, 270, 31, 726, 14, 393, 3154, 31, 204, 264, 320, 204, 264, 2605, 273, 17588, 1948, 1174, 275, 3630, 348, 275, 7887, 302, 273, 7867, 7352, 270, 726, 19, 204, 204, 264, 457, 31, 204, 268, 1113, 68, 2196, 270, 322, 1386, 330, 332, 7867, 7352, 270, 726, 204, 204, 264, 475, 31, 204, 268, 3154, 31, 332, 17588, 1948, 204, 264, 320, 204, 264, 314, 763, 275, 3630, 329, 1259, 497, 275, 7867, 7352, 270, 726, 204, 264, 3630, 289, 1113, 68, 2196, 270, 19, 505, 68, 3880, 374, 204, 264, 4884, 68, 15238, 17, 4884, 68, 15238, 68, 1849, 68, 998, 289, 1113, 68, 2196, 270, 19, 505, 68, 1512, 68, 531, 68, 2119, 374, 204, 615, 264, 314, 666, 275, 1948, 974, 275, 3630, 329, 1259, 204, 264, 407, 838, 68, 44101, 68, 2119, 13, 3880, 64, 21, 648, 3630, 64, 22, 648, 4884, 68, 15238, 17, 4884, 68, 15238, 68, 1849, 68, 998, 14, 204, 204, 204, 461, 838, 68, 44101, 68, 2119, 13, 15238, 68, 1735, 31, 394, 17, 11196, 68, 1633, 31, 394, 17, 4884, 68, 15238, 31, 394, 17, 4884, 68, 15238, 68, 1849, 68, 998, 31, 421, 14, 393, 3154, 31, 204, 264, 320, 204, 264, 2605, 273, 17588, 1948, 1174, 275, 3630, 329, 1259, 302, 970, 20567, 19, 204, 204, 264, 457, 31, 204, 268, 11196, 68, 1735, 322, 325, 330, 334, 832, 302, 275, 1824, 11196, 204, 268, 11196, 68, 1633, 322, 325, 330, 334, 832, 302, 275, 1629, 11196, 204, 268, 4884, 68, 15238, 322, 325, 330, 334, 1540, 11196, 204, 268, 4884, 68, 15238, 68, 1849, 68, 998, 322, 339, 330, 334, 1540, 1103, 1112, 497, 275, 11196, 204, 204, 264, 475, 31, 204, 268, 3154, 31, 332, 17588, 1948, 204, 264, 320, 204, 264, 314, 666, 273, 955, 311, 1640, 275, 11196, 1483, 204, 264, 11196, 68, 1270, 31, 1061, 64, 325, 17, 394, 66, 289, 463, 204, 268, 379, 15238, 68, 1735, 597, 11196, 68, 1735, 17, 204, 268, 379, 15238, 68, 1633, 597, 11196, 68, 1633, 17, 204, 268, 379, 1512, 68, 15238, 597, 4884, 68, 15238, 17, 204, 268, 379, 1512, 68, 15238, 68, 1849, 68, 998, 597, 4884, 68, 15238, 68, 1849, 68, 998, 204, 264, 1211, 204, 615, 264, 314, 666, 275, 17588, 1948, 974, 275, 11196, 1483, 204, 264, 407, 20210, 19, 4170, 13, 15238, 68, 1270, 17, 17588, 68, 9187, 68, 4617, 17, 3372, 833, 14663, 6372, 534, 204, 204, 204, 461, 10318, 68, 44101, 68, 2119, 13, 2119, 31, 3154, 14, 393, 1884, 64, 325, 17, 394, 17, 1061, 64, 325, 17, 394, 2440, 204, 264, 320, 204, 264, 30783, 273, 17588, 1948, 1174, 11196, 1483, 19, 204, 204, 264, 457, 31, 204, 268, 1948, 322, 3881, 330, 334, 17588, 1948, 311, 10318, 204, 204, 264, 475, 31, 204, 268, 1884, 64, 325, 17, 394, 17, 1061, 64, 325, 17, 394, 2440, 332, 927, 1174, 275, 1824, 11196, 832, 17, 1629, 11196, 832, 17, 329, 275, 9581, 1948, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 1948, 353, 2872, 521, 869, 18498, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3289, 311, 10318, 275, 1948, 204, 268, 9581, 68, 2119, 31, 1061, 64, 325, 17, 394, 66, 289, 20210, 19, 5286, 13, 2119, 17, 17588, 68, 9187, 68, 4617, 17, 11619, 4980, 14663, 6372, 2378, 204, 264, 827, 322, 16807, 19, 46930, 26362, 596, 17, 20210, 19, 1962, 7545, 596, 14, 448, 318, 31, 204, 268, 314, 5149, 273, 987, 397, 275, 1948, 353, 2872, 521, 869, 18498, 204, 268, 980, 987, 499, 1962, 1948, 431, 497, 318, 204, 615, 264, 314, 455, 275, 1824, 11196, 832, 17, 1629, 11196, 832, 17, 329, 275, 9581, 1948, 204, 264, 407, 322, 21934, 68, 2119, 736, 15238, 68, 1735, 2043, 9581, 68, 2119, 736, 15238, 68, 1633, 2043, 9581, 68, 2119, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 676, 7867, 7352, 270, 31, 204, 264, 436, 636, 68, 3880, 13, 327, 330, 204, 268, 407, 2470, 20, 546, 20, 633, 20, 1735, 491, 5014, 546, 20, 633, 20, 1633, 839, 204, 204, 264, 436, 636, 68, 1512, 68, 531, 68, 2119, 13, 327, 330, 204, 268, 407, 379, 1735, 491, 500, 204, 204, 2609, 68, 2196, 270, 289, 7867, 7352, 270, 374, 204, 2119, 289, 838, 68, 2609, 68, 2196, 270, 68, 2119, 13, 2609, 68, 2196, 270, 14, 204, 2102, 13, 2119, 14, 204, 204, 21934, 68, 2119, 289, 10318, 68, 44101, 68, 2119, 13, 2119, 14, 204, 2102, 13, 21934, 68, 2119, 14, 204, 0, 5399, 529, 275, 39210, 29661, 54, 88, 440, 275, 8557, 3576, 5748, 31, 204, 204, 777, 41, 12550, 29661, 54, 88, 777, 204, 204, 22, 19, 17182, 11188, 275, 9989, 302, 5914, 36, 204, 13, 70, 14, 31850, 204, 13, 71, 14, 12462, 204, 13, 72, 14, 48305, 204, 13, 73, 14, 10267, 470, 3435, 204, 204, 4706, 31, 322, 71, 14, 12462, 204, 204, 23, 19, 592, 928, 2016, 3756, 38414, 12462, 8959, 275, 9989, 302, 5914, 36, 204, 13, 70, 14, 1301, 9028, 271, 18, 335, 18, 47009, 1645, 78, 204, 13, 71, 14, 21719, 1257, 40063, 204, 13, 72, 14, 28935, 429, 18, 335, 18, 38, 29445, 429, 204, 13, 73, 14, 2439, 18, 2938, 4200, 422, 204, 204, 4706, 31, 322, 71, 14, 21719, 1257, 40063, 204, 204, 24, 19, 2935, 353, 275, 3633, 7634, 560, 275, 9989, 302, 5914, 36, 204, 13, 70, 14, 13108, 204, 13, 71, 14, 48054, 204, 13, 72, 14, 25154, 204, 13, 73, 14, 31168, 204, 204, 4706, 31, 322, 70, 14, 13108, 204, 204, 25, 19, 2935, 353, 275, 1043, 3938, 302, 5914, 1425, 3556, 448, 36, 204, 13, 70, 14, 48054, 204, 13, 71, 14, 25154, 204, 13, 72, 14, 42984, 204, 13, 73, 14, 443, 302, 1605, 204, 204, 4706, 31, 322, 72, 14, 42984, 204, 204, 26, 19, 2935, 353, 275, 3422, 3001, 302, 15922, 36, 204, 13, 70, 14, 10718, 204, 13, 71, 14, 10754, 204, 13, 72, 14, 31168, 204, 13, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 73, 14, 5610, 302, 4166, 204, 204, 4706, 31, 322, 70, 14, 10718, 204, 204, 27, 19, 2935, 353, 275, 13305, 302, 273, 2484, 496, 20733, 311, 15753, 1163, 1259, 302, 3022, 521, 9000, 5914, 36, 204, 13, 70, 14, 13194, 204, 13, 71, 14, 13108, 204, 13, 72, 14, 42984, 204, 13, 73, 14, 31168, 204, 204, 4706, 31, 322, 72, 14, 42984, 204, 204, 28, 19, 2935, 353, 275, 13478, 496, 3731, 521, 20733, 311, 2652, 275, 1259, 302, 3022, 521, 9000, 5914, 302, 273, 2484, 36, 204, 13, 70, 14, 13194, 204, 13, 71, 14, 13108, 204, 13, 72, 14, 42984, 204, 13, 73, 14, 31168, 204, 204, 4706, 31, 322, 71, 14, 13108, 204, 204, 29, 19, 10643, 3938, 302, 5914, 353, 1425, 3556, 448, 275, 3938, 302, 15922, 36, 204, 13, 70, 14, 6867, 204, 13, 71, 14, 10110, 204, 13, 72, 14, 19373, 204, 13, 73, 14, 37087, 204, 204, 4706, 31, 322, 70, 14, 6867, 204, 204, 30, 19, 2935, 353, 7758, 292, 273, 2484, 1330, 273, 2955, 353, 6310, 36, 204, 13, 70, 14, 13194, 204, 13, 71, 14, 25154, 204, 13, 72, 14, 10754, 204, 13, 73, 14, 443, 302, 275, 4166, 204, 204, 4706, 31, 322, 71, 14, 25154, 204, 204, 1003, 19, 592, 928, 2945, 353, 275, 5816, 7758, 292, 273, 5751, 2484, 36, 204, 13, 70, 14, 20673, 204, 13, 71, 14, 13108, 204, 13, 72, 14, 14785, 204, 13, 73, 14, 31168, 204, 204, 4706, 31, 322, 71, 14, 13108, 204, 204, 2152, 322, 5243, 302, 275, 3888, 14, 204, 204, 7108, 31, 382, 5748, 275, 8557, 3576, 17, 2864, 275, 388, 3244, 8833, 7, 329, 388, 3244, 28457, 7, 5444, 17, 329, 275, 9499, 3888, 19, 382, 1425, 47347, 275, 3888, 311, 1895, 1475, 9509, 311, 1151, 19, 5486, 479, 2379, 397, 872, 874, 1169, 5395, 2164, 6, 0, 1834, 9280, 302, 275, 23969, 3467, 562, 5178, 1163, 588, 497, 275, 8429, 23143, 292, 928, 5608, 5178, 437, 287, 434, 560, 13134, 2416, 276, 19, 1547, 353, 273, 14498, 4789, 275, 2481, 496, 5608, 24873, 311, 27332, 25924, 17, 12369, 444, 6982, 3850, 19, 204, 3728, 437, 37924, 490, 353, 348, 273, 1874, 397, 5608, 31302, 311, 3850, 5104, 6, 20410, 1051, 28352, 17, 388, 13084, 1583, 5608, 508, 6293, 311, 451, 1425, 14581, 334, 7180, 353, 496, 5608, 31302, 311, 830, 3651, 20955, 1924, 275, 28420, 291, 17, 7301, 1901, 1880, 8809, 490, 6, 3433, 770, 508, 3074, 275, 690, 311, 1020, 2075, 275, 28420, 291, 5366, 311, 1475, 6, 204, 673, 8784, 302, 5608, 884, 88, 8749, 353, 311, 5190, 451, 47816, 292, 275, 7180, 302, 22246, 329, 311, 8029, 451, 311, 275, 832, 302, 1629, 7575, 19, 4168, 572, 12441, 311, 5608, 884, 88, 2159, 572, 529, 32070, 496, 808, 2688, 869, 508, 1742, 1966, 2900, 273, 8784, 19, 1785, 3126, 496, 490, 353, 273, 683, 329, 1422, 353, 273, 5877, 348, 275, 38996, 329, 273, 25196, 1136, 348, 3153, 1415, 33577, 275, 943, 19, 2416, 4897, 496, 572, 4006, 884, 89, 3074, 808, 10473, 48541, 17, 5608, 5178, 1429, 10652, 287, 36166, 31, 204, 7, 3609, 275, 287, 434, 302, 13134, 2416, 276, 322, 1947, 14498, 1273, 5608, 24873, 311, 25924, 14, 329, 275, 5052, 2016, 322, 12964, 869, 275, 2493, 302, 2589, 1874, 884, 88, 5107, 292, 808, 3307, 14, 928, 353, 292, 437, 1451, 22949, 322, 286, 1120, 444, 2755, 348, 4488, 523, 275, 8373, 1330, 275, 8227, 1120, 3891, 1818, 311, 3307, 14, 329, 560, 275, 287, 434, 302, 275, 4362, 673, 29772, 6235, 7287, 2197, 9354, 884, 322, 3484, 375, 311, 273, 2481, 5104, 4166, 275, 23969, 24273, 884, 5267, 3332, 928, 4893, 1307, 292, 9725, 14, 329, 560, 275, 287, 434, 302, 275, 388, 4952, 73, 15526, 7, 322, 1947, 13993, 14, 329, 560, 275, 287, 434, 302, 275, 27838, 12724, 3343, 322, 54, 298, 291, 10691, 31, 22, 18, 27, 14, 204, 15605, 273, 3277, 4818, 497, 275, 13497, 302, 275, 5179, 88, 1784, 874, 1742, 5256, 19, 828, 2474, 869, 4768, 5544, 287, 36166, 17, 1675, 490, 1631, 444, 754, 572, 2761, 3671, 6005, 311, 7953, 10473, 19, 334, 8784, 302, 496, 10473, 353, 311, 6721, 451, 302, 275, 33638, 25983, 31, 204, 7, 837, 8969, 17, 275, 25983, 302, 1214, 13497, 10634, 3074, 2481, 322, 271, 275, 8373, 1330, 830, 1120, 444, 46831, 789, 3065, 10634, 444, 11077, 311, 5068, 490, 3343, 322, 54, 298, 291, 10691, 31, 28, 18, 29, 14, 204, 3728, 1120, 11616, 523, 496, 1593, 13480, 18689, 2344, 36, 204, 37710, 3837, 1120, 444, 14, 334, 2344, 1330, 275, 13993, 10634, 2577, 7772, 794, 7025, 1079, 447, 5013, 416, 275, 21518, 1120, 14465, 1924, 275, 3585, 322, 402, 16072, 9312, 1877, 2545, 8016, 311, 16072, 789, 7, 322, 54, 298, 291, 10691, 31, 30, 18, 1003, 14, 204, 3719, 572, 529, 6924, 2559, 18514, 560, 13815, 5337, 2090, 31, 388, 26652, 17, 382, 3315, 508, 32070, 7, 521, 388, 3837, 5409, 884, 89, 1895, 7211, 311, 479, 5167, 1675, 12441, 311, 2075, 5608, 5366, 311, 830, 3153, 1415, 2717, 275, 3597, 13185, 31, 204, 7, 3753, 3547, 444, 311, 275, 11809, 375, 322, 18919, 33577, 275, 11311, 24243, 14, 523, 496, 2344, 322, 1947, 8373, 302, 19725, 3082, 789, 7, 322, 54, 298, 291, 10691, 31, 1641, 14, 204, 23158, 872, 7921, 6183, 5566, 770, 1429, 1880, 8732, 329, 1429, 770, 508, 36, 6917, 830, 1250, 529, 830, 2927, 302, 16995, 329, 30673, 17, 754, 2075, 884, 88, 275, 5348, 2712, 36, 11449, 770, 1880, 1415, 529, 2130, 29782, 329, 16583, 17, 508, 8732, 292, 5608, 884, 88, 2159, 36, 334, 28420, 291, 3584, 31, 204, 37710, 673, 11809, 375, 529, 14, 3153, 1415, 529, 292, 322, 4868, 14, 35602, 3315, 6298, 7105, 3343, 322, 54, 298, 291, 10691, 31, 1258, 14, 204, 32424, 1415, 11809, 13082, 529, 23124, 43925, 7105, 19, 3433, 770, 448, 1250, 9626, 440, 5680, 9834, 348, 275, 2344, 1330, 1250, 1120, 444, 46831, 348, 10350, 1250, 3756, 19, 204, 837, 808, 2688, 1880, 3524, 311, 10582, 1017, 7977, 329, 529, 13374, 6388, 560, 275, 8295, 2219, 397, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1250, 940, 1073, 1707, 5608, 329, 25222, 23611, 830, 275, 690, 17, 1101, 292, 275, 8278, 8344, 1250, 1120, 444, 12331, 5575, 311, 1017, 44033, 329, 1017, 13082, 31, 204, 13, 5058, 508, 17556, 14, 334, 8373, 1330, 1250, 1120, 444, 348, 72, 24411, 42703, 1462, 1025, 275, 10209, 302, 39411, 19, 322, 54, 298, 291, 10691, 31, 2353, 14, 204, 7002, 830, 1017, 46329, 329, 1017, 711, 1154, 1120, 444, 302, 1236, 732, 31, 204, 37710, 3837, 1120, 444, 3252, 311, 1475, 31, 14, 4362, 1834, 353, 275, 10209, 872, 1376, 311, 33577, 6, 884, 7, 322, 54, 298, 291, 10691, 31, 2300, 14, 204, 13239, 3315, 598, 7105, 560, 4461, 9819, 302, 3153, 1415, 1696, 275, 3597, 13709, 560, 7417, 6298, 1475, 302, 2545, 5875, 17477, 1588, 19, 3846, 523, 496, 2344, 1330, 1250, 1120, 444, 21061, 1025, 275, 6659, 17, 1250, 1120, 444, 9176, 31, 204, 7, 11069, 4947, 808, 11192, 322, 402, 872, 1376, 311, 4627, 1465, 275, 30541, 5056, 302, 275, 31179, 3450, 329, 275, 5967, 5608, 11278, 1475, 14, 521, 529, 872, 17224, 311, 3020, 36, 884, 322, 18489, 872, 529, 17224, 311, 33577, 1163, 12278, 6, 789, 7, 322, 54, 298, 291, 10691, 31, 1909, 14, 204, 32858, 353, 508, 794, 9476, 19, 592, 808, 2688, 17, 275, 832, 302, 38996, 2292, 4230, 508, 444, 38861, 630, 2666, 17, 1101, 3550, 292, 6832, 496, 275, 1364, 18789, 523, 275, 7114, 529, 273, 27655, 683, 497, 5608, 19, 4168, 1880, 3332, 872, 1012, 15314, 6712, 275, 13709, 329, 13815, 17, 388, 3719, 1214, 13709, 867, 754, 3094, 1675, 5566, 529, 872, 2545, 12331, 2090, 808, 15330, 388, 11142, 353, 275, 1978, 872, 4627, 5608, 869, 32297, 15330, 1675, 9356, 496, 808, 2688, 353, 508, 275, 2481, 1273, 572, 618, 3020, 830, 275, 8411, 302, 2077, 44033, 19, 334, 1563, 1120, 444, 6680, 292, 275, 3307, 496, 7336, 1877, 5741, 17, 1330, 3153, 1415, 7168, 273, 3933, 4158, 342, 354, 3307, 13133, 292, 15539, 1291, 1120, 444, 10571, 31, 204, 7, 2101, 1025, 490, 6, 2266, 872, 14848, 490, 440, 23942, 521, 872, 770, 508, 17, 490, 1120, 1895, 1236, 2712, 311, 872, 6, 322, 837, 1169, 1643, 17, 1214, 16688, 1120, 444, 275, 1729, 6268, 3665, 529, 2545, 16544, 5311, 1698, 348, 2075, 322, 88, 1679, 14, 872, 1376, 311, 770, 3343, 322, 54, 298, 291, 10691, 31, 1845, 14, 204, 32424, 16544, 5311, 6612, 884, 89, 444, 16544, 5311, 2900, 5127, 6, 4168, 3153, 1415, 7168, 273, 38996, 3307, 1120, 444, 11188, 440, 275, 21050, 447, 13654, 1621, 364, 594, 31, 204, 7, 26685, 7437, 275, 38996, 10634, 444, 322, 278, 9170, 299, 7105, 14, 292, 1621, 364, 594, 329, 1163, 710, 515, 543, 17, 43925, 2075, 322, 627, 333, 880, 14, 1017, 13497, 4658, 1475, 19, 322, 5842, 302, 275, 8595, 28926, 880, 353, 496, 14, 1017, 13497, 6467, 1475, 497, 275, 25983, 302, 275, 27196, 2513, 322, 45, 1128, 10640, 789, 7, 322, 54, 298, 291, 10691, 31, 2314, 18, 2132, 14, 204, 11594, 1880, 830, 3332, 1475, 1466, 1698, 15502, 440, 275, 6015, 14538, 16275, 302, 275, 2688, 338, 5132, 17, 6940, 17, 329, 11954, 311, 588, 273, 4542, 338, 1605, 5608, 16718, 1880, 32395, 496, 3307, 353, 508, 2927, 2842, 348, 47863, 1101, 353, 273, 683, 302, 1647, 40526, 19, 10162, 17, 1017, 5877, 1120, 444, 275, 35139, 47863, 302, 1621, 364, 594, 17, 275, 794, 3439, 27616, 31, 204, 37710, 13239, 1120, 444, 10571, 31, 14, 388, 42, 269, 329, 7475, 311, 1214, 5557, 884, 88, 1666, 17, 808, 353, 275, 5877, 348, 1214, 3094, 44033, 3343, 3433, 1120, 444, 304, 836, 7187, 523, 401, 90, 1749, 17442, 292, 3015, 329, 1785, 10634, 39631, 1475, 311, 9843, 425, 359, 624, 440, 3403, 17, 6592, 9621, 3343, 322, 54, 298, 291, 10691, 31, 1794, 18, 1036, 14, 204, 673, 13029, 302, 2077, 7977, 353, 496, 2077, 27616, 353, 19702, 2900, 2077, 9172, 19, 7054, 353, 5566, 572, 25878, 19709, 329, 6323, 31185, 440, 2077, 4316, 5131, 19, 5608, 1120, 5157, 830, 275, 4316, 5131, 1415, 8367, 275, 38996, 832, 2219, 397, 1250, 529, 523, 1792, 4683, 5575, 311, 1017, 44033, 19, 17789, 523, 275, 3124, 15321, 1120, 444, 7514, 292, 1870, 311, 444, 26448, 440, 1017, 6757, 17, 2804, 17, 329, 1573, 8607, 19, 204, 7, 2310, 10634, 44321, 275, 3597, 47892, 440, 3153, 302, 1017, 28864, 1415, 1696, 1475, 292, 1017, 13082, 17, 329, 10634, 508, 33577, 1475, 275, 5877, 302, 1017, 3094, 44033, 338, 11243, 353, 7029, 348, 1704, 44033, 3343, 322, 54, 298, 291, 10691, 31, 3699, 14, 204, 10357, 38627, 458, 353, 1392, 19, 3665, 1741, 881, 7192, 311, 808, 458, 974, 275, 3062, 7807, 19, 204, 10357, 3511, 458, 353, 1392, 19, 204, 13084, 4080, 36, 1058, 2150, 4245, 869, 4569, 2363, 8375, 2927, 12361, 348, 872, 17, 1702, 448, 31, 1214, 38627, 17, 1214, 3511, 17, 27291, 7192, 872, 874, 12650, 17514, 17, 10883, 7192, 6193, 3522, 1214, 1673, 6321, 17, 9793, 4514, 1302, 17, 329, 1182, 19, 4171, 2048, 529, 1609, 523, 10534, 329, 1120, 1225, 5728, 1698, 1330, 872, 732, 275, 1729, 5431, 19, 2416, 9393, 1605, 2048, 497, 1169, 5431, 17, 872, 1856, 2924, 1335, 38172, 1908, 808, 4245, 19, 204, 5213, 2064, 1214, 25533, 329, 318, 18, 1100, 1995, 1675, 4974, 523, 275, 2878, 11812, 2963, 19, 3665, 1120, 7137, 273, 717, 1482, 31321, 19, 1974, 808, 717, 1482, 311, 3073, 275, 4245, 19, 0, 531, 4305, 532, 14131, 204, 531, 5589, 17351, 532, 5589, 17351, 204, 204, 676, 1295, 19792, 17351, 13, 5418, 330, 204, 264, 320, 204, 264, 1295, 2910, 348, 275, 5589, 17351, 850, 19, 204, 204, 264, 1058, 683, 9617, 11208, 275, 7800, 302, 275, 5589, 17351, 850, 17, 204, 264, 12361, 275, 18034, 1216, 19, 204, 264, 320, 204, 204, 264, 436, 9498, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 273, 717, 5589, 17351, 1014, 348, 848, 683, 19, 204, 204, 268, 1058, 1216, 353, 3250, 2518, 848, 683, 311, 4897, 273, 11370, 1014, 204, 268, 302, 275, 5589, 17351, 850, 19, 204, 268, 320, 204, 268, 370, 19, 15661, 289, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5589, 17351, 374, 204, 204, 264, 436, 683, 68, 13118, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 275, 18034, 1216, 440, 273, 1672, 537, 782, 19, 204, 204, 268, 1058, 683, 1322, 5377, 397, 275, 18034, 1216, 5728, 17982, 275, 537, 204, 268, 782, 1025, 5357, 329, 27931, 9873, 1702, 448, 886, 329, 7163, 19, 204, 268, 320, 204, 268, 314, 968, 275, 537, 782, 329, 1812, 919, 204, 268, 683, 68, 768, 68, 1031, 289, 388, 2841, 8344, 273, 10684, 38670, 338, 3326, 2548, 10342, 5741, 311, 437, 4916, 5254, 17, 2562, 27, 4720, 43566, 1283, 43796, 329, 32964, 3343, 204, 268, 1812, 68, 6672, 289, 322, 204, 305, 551, 204, 485, 388, 2841, 8344, 528, 204, 485, 388, 70, 528, 204, 485, 388, 45490, 528, 204, 485, 388, 4749, 730, 528, 204, 485, 43924, 204, 485, 388, 7025, 528, 204, 485, 388, 8346, 528, 204, 485, 388, 12481, 5291, 528, 204, 485, 388, 19450, 528, 204, 485, 388, 633, 528, 204, 485, 388, 291, 528, 204, 485, 388, 16684, 528, 204, 485, 23573, 5551, 24199, 204, 485, 388, 747, 528, 204, 485, 388, 92, 20614, 528, 204, 485, 23573, 9885, 24199, 204, 485, 20013, 204, 305, 7241, 204, 305, 551, 204, 485, 4401, 291, 4916, 5254, 17, 2562, 27, 528, 388, 30798, 39094, 3186, 204, 485, 4401, 13744, 43796, 329, 32964, 528, 388, 9885, 3186, 204, 485, 4401, 4343, 17, 2562, 27, 528, 388, 5551, 3186, 204, 305, 7241, 204, 268, 1179, 204, 204, 268, 314, 3289, 311, 18034, 275, 537, 782, 204, 268, 810, 31, 204, 305, 314, 17253, 275, 537, 782, 204, 305, 5357, 289, 370, 19, 15661, 19, 13118, 13, 804, 68, 768, 68, 1031, 14, 204, 3123, 305, 314, 778, 397, 275, 2641, 919, 4083, 275, 1812, 919, 204, 305, 370, 19, 2978, 13, 6672, 17, 1812, 68, 6672, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 828, 437, 2710, 3459, 17, 2434, 275, 683, 448, 5585, 204, 305, 370, 19, 7639, 13, 75, 7, 29465, 2710, 31, 463, 74, 743, 204, 204, 264, 436, 683, 68, 13118, 68, 4868, 68, 1031, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 275, 18034, 1216, 440, 437, 1392, 537, 782, 19, 204, 204, 268, 1058, 683, 1322, 5377, 397, 275, 18034, 1216, 5728, 9713, 437, 1392, 204, 268, 537, 782, 19, 204, 268, 320, 204, 268, 314, 968, 275, 537, 782, 329, 1812, 919, 204, 268, 683, 68, 768, 68, 1031, 289, 3026, 204, 268, 1812, 68, 6672, 289, 16509, 648, 10336, 204, 204, 268, 314, 3289, 311, 18034, 275, 537, 782, 204, 268, 810, 31, 204, 305, 314, 17253, 275, 537, 782, 204, 305, 5357, 289, 370, 19, 15661, 19, 13118, 13, 804, 68, 768, 68, 1031, 14, 204, 3123, 305, 314, 778, 397, 275, 2641, 919, 4083, 275, 1812, 919, 204, 305, 370, 19, 2978, 13, 6672, 17, 1812, 68, 6672, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 828, 437, 2710, 3459, 17, 2434, 275, 683, 448, 5585, 204, 305, 370, 19, 7639, 13, 75, 7, 29465, 2710, 31, 463, 74, 743, 204, 204, 264, 436, 683, 68, 13118, 68, 8765, 68, 750, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1295, 275, 18034, 1216, 440, 273, 2875, 1142, 537, 782, 19, 204, 204, 268, 1058, 683, 1322, 5377, 397, 275, 18034, 1216, 5728, 9713, 273, 2875, 204, 268, 1142, 537, 782, 19, 204, 268, 320, 204, 268, 314, 968, 275, 537, 782, 329, 1812, 919, 204, 268, 683, 68, 768, 68, 1031, 289, 388, 5975, 7, 204, 268, 1812, 68, 6672, 289, 322, 1166, 5975, 2869, 10336, 204, 204, 268, 314, 3289, 311, 18034, 275, 537, 782, 204, 268, 810, 31, 204, 305, 314, 17253, 275, 537, 782, 204, 305, 5357, 289, 370, 19, 15661, 19, 13118, 13, 804, 68, 768, 68, 1031, 14, 204, 3123, 305, 314, 778, 397, 275, 2641, 919, 4083, 275, 1812, 919, 204, 305, 370, 19, 2978, 13, 6672, 17, 1812, 68, 6672, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 314, 828, 437, 2710, 3459, 17, 2434, 275, 683, 448, 5585, 204, 305, 370, 19, 7639, 13, 75, 7, 29465, 2710, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 497, 4305, 532, 667, 204, 264, 667, 374, 204, 0, 647, 2364, 204, 647, 2010, 448, 645, 204, 647, 13680, 204, 647, 11496, 204, 531, 5920, 532, 7826, 204, 647, 1127, 204, 647, 1437, 204, 531, 29202, 61, 532, 37384, 204, 647, 8775, 204, 204, 676, 20242, 42, 2286, 419, 31, 204, 264, 320, 204, 264, 332, 850, 7029, 348, 39789, 273, 3390, 302, 5829, 11898, 311, 2616, 437, 1964, 19, 204, 204, 264, 1532, 31, 204, 264, 338, 954, 322, 873, 330, 334, 1586, 955, 19, 204, 264, 338, 38666, 31, 334, 38666, 726, 19, 204, 264, 338, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 348, 33174, 19, 204, 264, 338, 11496, 68, 4266, 322, 2539, 330, 334, 11496, 741, 311, 732, 19, 204, 264, 338, 3390, 322, 655, 330, 334, 790, 3390, 302, 11898, 19, 204, 264, 338, 32400, 322, 2644, 330, 334, 32400, 2364, 329, 1163, 11496, 700, 19, 204, 264, 338, 5871, 322, 19327, 10841, 330, 334, 32237, 5871, 19, 204, 264, 338, 32400, 68, 4319, 322, 19941, 330, 334, 7826, 302, 32400, 3703, 19, 204, 264, 338, 2765, 68, 3037, 322, 996, 330, 334, 2765, 1869, 32400, 2279, 19, 204, 264, 338, 2736, 68, 3443, 322, 339, 330, 334, 790, 7513, 1112, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 954, 31, 1135, 17, 38666, 330, 204, 268, 320, 204, 268, 977, 275, 3390, 1417, 11533, 440, 275, 800, 1586, 329, 38666, 19, 204, 204, 268, 457, 31, 204, 268, 338, 954, 322, 873, 330, 334, 1586, 955, 19, 204, 268, 338, 38666, 31, 334, 38666, 726, 19, 204, 268, 320, 204, 268, 370, 19, 1087, 289, 954, 204, 268, 370, 19, 3075, 289, 1437, 19, 3075, 13, 1087, 1166, 3075, 3808, 204, 268, 370, 19, 4056, 1365, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 289, 38666, 204, 268, 370, 19, 14318, 68, 4266, 289, 10175, 13, 14318, 17, 370, 19, 1087, 1166, 14318, 68, 4266, 3808, 204, 268, 370, 19, 8059, 289, 443, 204, 268, 370, 19, 404, 704, 289, 443, 204, 204, 268, 370, 19, 6133, 289, 37384, 13, 865, 19, 546, 19, 1541, 47369, 540, 327, 19, 1087, 1166, 13411, 68, 1217, 2869, 204, 43212, 370, 19, 1087, 1166, 3107, 68, 417, 2869, 8775, 19, 505, 68, 1976, 68, 672, 68, 834, 5887, 204, 268, 370, 19, 404, 704, 68, 4319, 289, 7826, 13, 36762, 34, 327, 19, 1087, 1166, 404, 704, 68, 4319, 68, 2997, 3808, 204, 268, 370, 19, 6222, 68, 3037, 289, 443, 204, 268, 370, 19, 2721, 68, 3443, 289, 368, 204, 204, 264, 436, 906, 1510, 68, 3474, 68, 8059, 13, 327, 17, 5162, 14, 393, 458, 31, 204, 268, 320, 204, 268, 666, 437, 1419, 3390, 302, 11898, 19, 204, 204, 268, 457, 31, 204, 268, 338, 5162, 31, 334, 1964, 726, 19, 204, 204, 268, 475, 31, 204, 268, 338, 332, 458, 302, 5760, 1174, 275, 2364, 329, 1163, 11496, 700, 19, 204, 268, 320, 204, 268, 314, 666, 273, 458, 302, 11898, 204, 268, 11898, 289, 551, 20537, 13, 4165, 17, 370, 19, 1087, 1166, 4165, 7721, 932, 3808, 13, 327, 19, 1087, 1166, 4165, 31330, 633, 13, 327, 19, 3075, 14, 204, 895, 348, 906, 292, 933, 13, 327, 19, 1087, 1166, 8059, 68, 835, 3808, 66, 204, 822, 268, 314, 4938, 275, 11496, 302, 848, 2364, 204, 268, 407, 6229, 3052, 17, 370, 19, 14318, 68, 4266, 13, 3107, 17, 5422, 17, 370, 19, 3075, 17, 370, 19, 4056, 1365, 602, 348, 5422, 292, 11898, 66, 204, 204, 264, 436, 906, 2206, 68, 8582, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3400, 275, 4685, 311, 275, 32237, 5871, 329, 456, 275, 32400, 3703, 1869, 19, 204, 268, 320, 204, 268, 314, 5230, 275, 790, 32400, 2279, 311, 275, 7826, 204, 268, 370, 19, 404, 704, 68, 4319, 19, 1223, 13, 327, 19, 8059, 64, 21, 1799, 22, 694, 204, 204, 268, 314, 1198, 275, 32400, 3703, 1869, 204, 268, 456, 499, 36941, 31, 2087, 338, 9401, 704, 3703, 1869, 1048, 2087, 15457, 31, 14761, 2478, 13, 327, 19, 2721, 68, 3443, 17, 204, 37056, 485, 370, 19, 1087, 1166, 404, 704, 68, 4319, 68, 2997, 2869, 204, 37056, 485, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 3694, 204, 822, 268, 314, 3400, 275, 32400, 3703, 1869, 311, 275, 32237, 5871, 204, 268, 370, 19, 6133, 19, 826, 68, 17484, 499, 20133, 704, 68, 4319, 68, 3037, 68, 2953, 1859, 6803, 16853, 2948, 2478, 13, 327, 19, 1087, 1166, 404, 704, 68, 4319, 68, 2997, 15100, 204, 18553, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 659, 370, 19, 2721, 68, 3443, 14, 204, 204, 264, 436, 906, 360, 68, 5719, 68, 32865, 13, 327, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 778, 397, 275, 1964, 353, 9900, 19, 204, 204, 268, 475, 31, 204, 268, 338, 959, 397, 275, 1964, 353, 9900, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1869, 32400, 2279, 353, 3114, 1194, 521, 1936, 311, 275, 1869, 2279, 311, 2616, 204, 268, 314, 329, 397, 275, 7826, 302, 32400, 3703, 353, 3101, 204, 268, 407, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 14, 3721, 370, 19, 1087, 1166, 3037, 68, 2224, 68, 633, 68, 15107, 1339, 329, 1245, 13, 327, 19, 404, 704, 68, 4319, 14, 3721, 370, 19, 1087, 1166, 404, 704, 68, 4319, 68, 2997, 1339, 204, 204, 264, 436, 906, 1510, 68, 2715, 68, 14673, 13, 327, 17, 5162, 14, 393, 443, 31, 204, 268, 320, 204, 268, 666, 275, 1682, 7513, 302, 11898, 19, 204, 204, 268, 457, 31, 204, 268, 338, 5162, 31, 334, 1964, 726, 19, 204, 268, 320, 204, 268, 314, 6993, 275, 3090, 3390, 204, 268, 8154, 68, 8059, 289, 370, 19, 8059, 204, 822, 268, 314, 3055, 731, 286, 2643, 311, 2694, 275, 2765, 2364, 204, 268, 370, 806, 10403, 68, 404, 286, 2643, 13, 3107, 14, 204, 822, 268, 314, 977, 275, 717, 3390, 440, 275, 32400, 2364, 204, 268, 370, 19, 8059, 289, 551, 327, 19, 404, 704, 66, 204, 822, 268, 314, 666, 717, 11898, 560, 6578, 1070, 275, 3090, 3390, 204, 268, 348, 906, 292, 933, 13, 327, 19, 1087, 1166, 8059, 68, 835, 1339, 338, 368, 330, 204, 305, 314, 5988, 273, 1400, 2260, 497, 275, 3090, 3390, 204, 305, 2260, 68, 3443, 289, 645, 19, 2017, 19, 5574, 13, 21, 17, 370, 19, 1087, 1166, 3619, 68, 765, 3808, 204, 305, 2260, 289, 8154, 68, 8059, 64, 3619, 68, 3443, 1799, 21, 66, 204, 3123, 305, 314, 28219, 316, 275, 2260, 311, 838, 273, 1656, 204, 305, 1656, 289, 13680, 19, 15248, 68, 9677, 68, 18659, 13, 3619, 17, 370, 19, 1087, 1166, 9677, 68, 3960, 2869, 370, 19, 3075, 14, 204, 3123, 305, 314, 4938, 275, 11496, 302, 275, 1656, 204, 305, 11496, 68, 577, 289, 370, 19, 14318, 68, 4266, 13, 3107, 17, 1656, 17, 370, 19, 3075, 17, 370, 19, 4056, 1365, 14, 204, 3123, 305, 314, 1255, 275, 1656, 311, 275, 717, 3390, 204, 305, 370, 19, 8059, 19, 1223, 1802, 3858, 17, 11496, 68, 577, 602, 204, 204, 264, 436, 906, 10403, 68, 404, 286, 2643, 13, 327, 17, 5162, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3055, 731, 286, 2643, 311, 2694, 275, 2765, 2364, 19, 204, 204, 268, 457, 31, 204, 268, 338, 5162, 31, 334, 1964, 726, 19, 204, 268, 320, 204, 268, 314, 666, 437, 32400, 5089, 560, 18680, 275, 11496, 302, 848, 2364, 292, 275, 3390, 204, 268, 32400, 68, 5108, 289, 1306, 204, 268, 348, 2260, 292, 370, 19, 8059, 31, 204, 305, 314, 4938, 275, 11496, 302, 275, 2260, 3536, 2666, 204, 305, 1869, 68, 8901, 289, 645, 19, 3037, 1568, 327, 19, 14318, 68, 4266, 13, 3107, 17, 2260, 64, 21, 648, 370, 19, 3075, 17, 370, 19, 4056, 1365, 14, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 22377, 348, 906, 292, 933, 13, 327, 19, 1087, 1166, 404, 704, 68, 15834, 68, 765, 3808, 694, 204, 305, 32400, 68, 5108, 19, 1223, 1802, 3619, 64, 21, 648, 1869, 68, 8901, 602, 204, 204, 268, 314, 4641, 275, 32400, 5089, 292, 9267, 1552, 302, 11496, 204, 268, 32400, 68, 5108, 289, 370, 806, 2975, 68, 8059, 68, 1424, 68, 14318, 13, 404, 704, 68, 5108, 14, 204, 822, 268, 314, 5988, 275, 2765, 2364, 448, 275, 32400, 204, 268, 370, 19, 404, 704, 289, 322, 404, 704, 68, 5108, 64, 21, 1799, 21, 648, 32400, 68, 5108, 64, 21, 1799, 22, 694, 204, 204, 264, 1642, 4460, 204, 264, 436, 906, 2975, 68, 8059, 68, 1424, 68, 14318, 13, 8059, 31, 458, 14, 393, 458, 31, 204, 268, 320, 204, 268, 4641, 275, 3390, 560, 11496, 292, 9267, 1552, 19, 204, 204, 268, 457, 31, 204, 268, 338, 3390, 322, 655, 330, 334, 458, 302, 11898, 329, 1017, 11496, 1019, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 2282, 458, 302, 11898, 329, 1017, 11496, 1019, 19, 204, 268, 320, 204, 268, 314, 4641, 275, 3390, 292, 9267, 1552, 302, 11496, 204, 268, 3390, 19, 2975, 13, 644, 34, 3605, 610, 31, 610, 64, 22, 648, 4036, 34, 1021, 14, 204, 268, 407, 3390, 204, 204, 264, 436, 31060, 13, 327, 17, 5162, 14, 393, 1437, 19, 2606, 19, 3732, 31, 204, 268, 320, 204, 268, 471, 21347, 275, 3390, 3119, 275, 1964, 353, 9900, 19, 204, 204, 268, 457, 31, 204, 268, 338, 5162, 31, 334, 1964, 726, 19, 204, 204, 268, 475, 31, 204, 268, 338, 334, 2765, 2364, 19, 204, 268, 320, 204, 268, 314, 666, 275, 1419, 3390, 204, 268, 370, 19, 8059, 289, 370, 806, 1510, 68, 3474, 68, 8059, 13, 3107, 14, 204, 822, 268, 1335, 959, 31, 204, 305, 314, 4641, 275, 3390, 292, 9267, 1552, 302, 11496, 204, 305, 370, 19, 8059, 289, 370, 806, 2975, 68, 8059, 68, 1424, 68, 14318, 13, 327, 19, 8059, 14, 204, 204, 305, 314, 3400, 275, 4685, 204, 305, 370, 806, 2206, 68, 8582, 374, 204, 204, 305, 314, 778, 397, 275, 1964, 353, 9900, 204, 305, 397, 370, 806, 360, 68, 5719, 68, 32865, 1293, 204, 485, 456, 499, 11690, 9900, 292, 14761, 2478, 13, 327, 19, 2721, 68, 3443, 602, 204, 485, 2280, 204, 204, 305, 314, 778, 397, 275, 790, 32400, 3703, 1869, 353, 4037, 1194, 275, 2765, 1869, 204, 305, 397, 370, 19, 6222, 68, 3037, 353, 443, 521, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 14, 1323, 370, 19, 6222, 68, 3037, 31, 204, 485, 370, 19, 6222, 68, 3037, 289, 645, 19, 3037, 13, 327, 19, 404, 704, 68, 4319, 14, 204, 485, 314, 3025, 275, 790, 2765, 2364, 204, 485, 7974, 68, 1217, 289, 1127, 19, 546, 19, 1541, 47369, 540, 327, 19, 1087, 1166, 9488, 68, 1217, 2869, 370, 19, 1087, 1166, 3107, 68, 417, 3808, 204, 485, 8775, 19, 2360, 68, 1512, 68, 873, 13, 865, 19, 546, 19, 1541, 13, 9488, 68, 1217, 659, 370, 19, 8059, 64, 21, 1799, 21, 1664, 1512, 68, 873, 1447, 204, 204, 305, 314, 666, 275, 1682, 7513, 204, 305, 370, 806, 1510, 68, 2715, 68, 14673, 13, 3107, 14, 204, 305, 370, 19, 2721, 68, 3443, 1412, 368, 204, 204, 268, 314, 455, 275, 2765, 2364, 204, 268, 407, 370, 19, 404, 704, 64, 21, 66, 204, 0, 647, 1875, 204, 647, 2164, 204, 647, 3805, 448, 1246, 204, 531, 10650, 25, 532, 5322, 448, 10650, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 8, 968, 3454, 204, 23915, 9187, 56, 68, 4093, 68, 4617, 289, 891, 23915, 9187, 56, 4093, 4617, 367, 7, 204, 6014, 31894, 4663, 2157, 68, 4093, 68, 4617, 289, 891, 6014, 31894, 4663, 2157, 4093, 4617, 367, 7, 204, 204, 461, 636, 68, 4975, 31713, 730, 68, 481, 13, 1512, 31, 394, 17, 3923, 68, 644, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 4071, 20568, 730, 424, 497, 3594, 26251, 88, 19, 4563, 19, 204, 204, 264, 457, 31, 204, 268, 1259, 322, 325, 330, 7609, 18, 8091, 1259, 24989, 19, 204, 268, 3923, 68, 644, 322, 325, 330, 3594, 26251, 88, 1893, 896, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 43367, 730, 424, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 275, 824, 4737, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 1779, 289, 283, 7, 1942, 1963, 4537, 19, 760, 2619, 2827, 88, 19, 4563, 20, 2005, 24605, 1939, 34, 505, 5274, 28982, 81, 2471, 11, 359, 2508, 1512, 14329, 41559, 2508, 2005, 68, 644, 14329, 1420, 34, 1775, 7, 204, 615, 264, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 264, 810, 31, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 264, 827, 2164, 19, 5678, 19, 6866, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 20568, 730, 424, 31, 463, 74, 743, 204, 204, 264, 314, 2735, 275, 2084, 958, 204, 264, 407, 958, 19, 1775, 374, 204, 204, 461, 636, 68, 12659, 68, 481, 13, 12659, 68, 359, 31, 394, 17, 3923, 68, 644, 31, 394, 17, 6596, 31, 421, 289, 11794, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 4071, 6963, 424, 497, 3594, 26251, 88, 19, 4563, 19, 204, 204, 264, 457, 31, 204, 268, 6963, 68, 359, 322, 325, 330, 35902, 1222, 19, 204, 268, 3923, 68, 644, 322, 325, 330, 3594, 26251, 88, 1893, 896, 19, 204, 268, 6596, 322, 339, 17, 1448, 330, 48912, 6596, 19, 1243, 311, 11794, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 35902, 424, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 275, 824, 4737, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 1779, 289, 283, 7, 1942, 1963, 4537, 19, 760, 2619, 2827, 88, 19, 4563, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 20, 2005, 24605, 1939, 34, 24119, 19327, 11, 19821, 2508, 12659, 68, 359, 14329, 10057, 2508, 10057, 14329, 41559, 2508, 2005, 68, 644, 14329, 1420, 34, 1775, 7, 204, 615, 264, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 264, 810, 31, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 264, 827, 2164, 19, 5678, 19, 6866, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 6963, 424, 31, 463, 74, 743, 204, 204, 264, 314, 2735, 275, 2084, 958, 204, 264, 407, 958, 19, 1775, 374, 204, 204, 461, 636, 68, 25904, 276, 68, 481, 13, 12659, 68, 359, 31, 394, 17, 3923, 68, 644, 31, 394, 17, 6596, 31, 421, 289, 11794, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 4071, 27183, 424, 497, 3594, 26251, 88, 19, 4563, 19, 204, 204, 264, 457, 31, 204, 268, 6963, 68, 359, 322, 325, 330, 35902, 1222, 19, 204, 268, 3923, 68, 644, 322, 325, 330, 3594, 26251, 88, 1893, 896, 19, 204, 268, 6596, 322, 339, 17, 1448, 330, 48912, 6596, 19, 1243, 311, 11794, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 852, 1052, 276, 424, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 275, 824, 4737, 19, 204, 264, 320, 204, 264, 314, 5128, 275, 1893, 1274, 204, 264, 1779, 289, 283, 7, 3189, 1963, 4537, 19, 760, 2619, 2827, 88, 19, 4563, 20, 2005, 24605, 1939, 34, 24119, 1046, 4505, 11, 19821, 2508, 12659, 68, 359, 14329, 10057, 2508, 10057, 14329, 41559, 2508, 2005, 68, 644, 14329, 1420, 34, 1775, 7, 204, 615, 264, 314, 2878, 273, 4559, 824, 311, 275, 1893, 204, 264, 810, 31, 204, 268, 958, 289, 2164, 19, 505, 13, 805, 14, 204, 268, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 264, 827, 2164, 19, 5678, 19, 6866, 448, 318, 31, 204, 268, 980, 1319, 13, 75, 7, 3504, 311, 3686, 27183, 424, 31, 463, 74, 743, 204, 204, 264, 314, 2735, 275, 2084, 958, 204, 264, 407, 958, 19, 1775, 374, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 1893, 896, 497, 275, 575, 521, 1964, 1554, 204, 264, 1451, 21894, 68, 2005, 68, 644, 289, 537, 499, 2101, 1214, 3594, 26251, 88, 1893, 896, 31, 2810, 204, 204, 264, 314, 763, 275, 1259, 497, 275, 575, 204, 264, 1259, 289, 537, 499, 2101, 970, 18, 8091, 1259, 24989, 31, 2810, 204, 204, 264, 314, 4491, 20568, 730, 424, 204, 264, 810, 31, 204, 268, 20568, 730, 68, 481, 289, 636, 68, 4975, 31713, 730, 68, 481, 13, 1512, 17, 1451, 21894, 68, 2005, 68, 644, 14, 204, 268, 456, 499, 5274, 28982, 81, 730, 1594, 2212, 204, 268, 456, 13, 1775, 19, 7362, 13, 4975, 31713, 730, 68, 481, 17, 8851, 34, 25, 602, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 314, 4491, 6963, 424, 204, 264, 6963, 68, 359, 289, 537, 499, 2101, 6963, 1222, 31, 2810, 204, 264, 810, 31, 204, 268, 6963, 68, 481, 289, 636, 68, 12659, 68, 481, 13, 12659, 68, 359, 17, 1451, 21894, 68, 2005, 68, 644, 14, 204, 268, 456, 499, 39847, 1594, 2212, 204, 268, 456, 13, 1775, 19, 7362, 13, 12659, 68, 481, 17, 8851, 34, 25, 602, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 264, 314, 4491, 27183, 424, 204, 264, 810, 31, 204, 268, 27183, 68, 481, 289, 636, 68, 25904, 276, 68, 481, 13, 12659, 68, 359, 17, 1451, 21894, 68, 2005, 68, 644, 14, 204, 268, 456, 499, 1046, 1052, 276, 1594, 2212, 204, 268, 456, 13, 1775, 19, 7362, 13, 25904, 276, 68, 481, 17, 8851, 34, 25, 602, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 4458, 5927, 31, 6825, 18, 29, 4458, 204, 204, 531, 12468, 26, 532, 16333, 17, 12234, 17, 6349, 204, 204, 676, 32020, 7096, 31, 204, 264, 320, 204, 264, 332, 850, 2457, 275, 9166, 348, 273, 8320, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 32020, 7096, 1014, 19, 204, 268, 320, 204, 268, 370, 19, 12144, 289, 443, 204, 204, 264, 436, 3219, 68, 3802, 13, 327, 17, 8320, 31, 6349, 19, 29526, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 719, 275, 9166, 348, 275, 8320, 19, 204, 204, 268, 457, 31, 204, 305, 8320, 322, 11540, 19, 29526, 330, 334, 8320, 311, 758, 719, 19, 204, 268, 320, 204, 268, 370, 19, 12144, 289, 8320, 204, 268, 370, 806, 5666, 68, 12144, 374, 204, 268, 370, 806, 5666, 68, 4478, 374, 204, 204, 264, 436, 906, 5666, 68, 12144, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 719, 275, 8320, 3564, 19, 204, 268, 320, 204, 268, 314, 1359, 719, 8320, 3564, 204, 268, 370, 19, 12144, 19, 13115, 499, 12987, 431, 204, 268, 370, 19, 12144, 19, 9522, 13, 27, 5091, 17, 42440, 14, 204, 204, 264, 436, 906, 5666, 68, 4478, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 719, 275, 5328, 348, 275, 8320, 19, 204, 268, 320, 204, 268, 314, 666, 273, 2333, 5328, 204, 268, 2333, 68, 4478, 289, 6349, 19, 46816, 13, 327, 19, 12144, 14, 204, 268, 2333, 68, 4478, 19, 13115, 499, 2700, 8110, 431, 204, 822, 268, 314, 666, 273, 5954, 5328, 204, 268, 5954, 68, 4478, 289, 370, 806, 5666, 68, 13438, 68, 4478, 374, 204, 268, 2333, 68, 4478, 19, 33364, 13, 13438, 68, 4478, 17, 500, 17, 500, 17, 368, 17, 368, 14, 204, 204, 268, 314, 666, 273, 798, 5328, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 374, 204, 268, 4514, 289, 12234, 19, 35463, 374, 204, 268, 4514, 19, 574, 27079, 499, 5200, 36584, 3983, 403, 431, 204, 268, 4514, 19, 574, 6661, 8654, 13, 1909, 14, 204, 268, 1007, 68, 7451, 19, 33425, 13, 6823, 14, 204, 268, 407, 1007, 68, 7451, 204, 204, 264, 436, 906, 1510, 68, 18847, 68, 2036, 13, 327, 14, 393, 6349, 19, 24198, 6406, 6754, 31, 204, 268, 320, 204, 268, 2605, 273, 12984, 2871, 19, 204, 204, 268, 475, 31, 204, 305, 6349, 19, 24198, 6406, 6754, 31, 334, 1966, 12984, 2871, 19, 204, 268, 320, 204, 268, 12984, 68, 2036, 289, 6349, 19, 24198, 6406, 6754, 374, 204, 268, 4514, 289, 12234, 19, 35463, 374, 204, 268, 4514, 19, 574, 27079, 499, 5200, 36584, 3983, 403, 431, 204, 268, 4514, 19, 574, 6661, 8654, 13, 1909, 14, 204, 268, 12984, 68, 2036, 19, 33425, 13, 6823, 14, 204, 268, 407, 12984, 68, 2036, 204, 204, 264, 436, 906, 1510, 68, 12949, 68, 18847, 68, 2036, 13, 327, 14, 393, 6349, 19, 54, 24844, 38154, 6754, 31, 204, 268, 320, 204, 268, 2605, 273, 6246, 12984, 2871, 19, 204, 204, 268, 475, 31, 204, 305, 6349, 19, 54, 24844, 38154, 6754, 31, 334, 1966, 6246, 12984, 2871, 19, 204, 268, 320, 204, 268, 6246, 68, 18847, 68, 2036, 289, 6349, 19, 54, 24844, 38154, 6754, 374, 204, 268, 4514, 289, 12234, 19, 35463, 374, 204, 268, 4514, 19, 574, 27079, 499, 5200, 36584, 3983, 403, 431, 204, 268, 4514, 19, 574, 6661, 8654, 13, 1909, 14, 204, 268, 6246, 68, 18847, 68, 2036, 19, 33425, 13, 6823, 14, 204, 268, 407, 6246, 68, 18847, 68, 2036, 204, 204, 264, 436, 48493, 68, 3802, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 445, 795, 81, 675, 275, 9166, 348, 275, 8320, 19, 204, 268, 320, 204, 268, 906, 11762, 289, 16333, 19, 54, 48672, 19, 11762, 204, 268, 370, 19, 12144, 19, 25071, 9705, 11762, 499, 12987, 528, 388, 12987, 3687, 204, 268, 314, 1255, 18936, 348, 904, 13085, 3237, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 532, 2454, 204, 264, 740, 289, 6349, 19, 20909, 13, 4807, 19, 4983, 14, 204, 264, 8320, 289, 6349, 19, 29526, 374, 204, 264, 18185, 289, 32020, 7096, 374, 204, 264, 18185, 19, 5666, 68, 3802, 13, 12144, 14, 204, 264, 8320, 19, 2896, 374, 204, 264, 2454, 19, 4555, 13, 748, 19, 5472, 19256, 204, 0, 13359, 10847, 27096, 4035, 37673, 42806, 13345, 44291, 7392, 28286, 17862, 460, 21268, 12999, 990, 44291, 10382, 14365, 1001, 3304, 1404, 121, 1843, 41637, 31738, 408, 1191, 3004, 1572, 4136, 3283, 6977, 19295, 18084, 17136, 39360, 12298, 1955, 725, 11042, 723, 115, 18518, 39360, 3941, 1955, 725, 7544, 1175, 243, 42099, 39360, 7238, 3028, 5958, 4268, 3491, 41637, 9006, 1227, 24644, 9216, 9006, 568, 204, 15687, 11254, 1638, 831, 2903, 44180, 2544, 20743, 408, 9141, 1367, 8070, 6977, 6429, 10382, 6325, 10120, 460, 18673, 408, 5718, 10366, 6390, 13295, 568, 5182, 942, 41637, 15932, 725, 37154, 4276, 4384, 40334, 3606, 568, 204, 5928, 7821, 11332, 7544, 8960, 42099, 8075, 17437, 1638, 24022, 725, 1002, 47673, 27102, 854, 6977, 19865, 12453, 568, 4623, 10536, 21344, 408, 1843, 3774, 1456, 5643, 23047, 8208, 2253, 8561, 8275, 408, 16535, 6829, 6226, 3865, 3283, 21365, 9352, 38795, 12256, 17486, 3058, 3038, 46802, 13561, 1398, 408, 1970, 7965, 2494, 3500, 47825, 568, 11042, 723, 115, 18518, 8075, 2494, 1550, 11329, 15208, 20429, 33658, 408, 11746, 6899, 47906, 7413, 33243, 2638, 408, 3994, 16785, 1886, 11597, 11135, 2382, 14328, 408, 19295, 18084, 17136, 1886, 9177, 6614, 1345, 27750, 40412, 408, 8241, 42109, 568, 204, 6573, 6977, 38859, 1398, 7059, 44837, 19582, 408, 38966, 3865, 3380, 1505, 17411, 21550, 4296, 10943, 16847, 6522, 725, 19769, 17717, 10984, 2211, 243, 1002, 2093, 568, 19295, 18084, 17136, 2853, 9157, 1572, 831, 8728, 13764, 9969, 33232, 7533, 408, 3038, 7756, 1572, 3977, 9238, 408, 1970, 24944, 6899, 17955, 6540, 10961, 14635, 5643, 29207, 15184, 1002, 1990, 725, 21331, 10011, 41527, 3468, 8088, 1955, 8383, 4304, 7217, 568, 204, 32868, 4384, 7059, 9850, 13679, 11104, 568, 6977, 3064, 1572, 42079, 30524, 6326, 2094, 1531, 11254, 460, 18207, 568, 7544, 8960, 42099, 2853, 31, 1622, 10435, 6713, 7059, 3796, 2781, 408, 6977, 31242, 1456, 21791, 6713, 14391, 11369, 2860, 14328, 2675, 2494, 17062, 408, 3038, 1886, 7965, 10435, 12673, 408, 27402, 44973, 17678, 460, 16135, 6540, 14464, 3004, 2544, 4224, 1674, 21331, 46697, 6977, 13604, 1524, 4772, 17678, 408, 7544, 8960, 42099, 5643, 854, 5299, 37680, 408, 1773, 3178, 2356, 5186, 408, 13470, 1970, 2675, 12350, 568, 204, 2253, 4587, 30741, 1398, 17955, 870, 228, 5753, 241, 7059, 6371, 14168, 408, 11790, 2807, 2494, 725, 4795, 6122, 6899, 15588, 22015, 17640, 408, 17717, 16338, 11753, 3675, 30741, 10536, 2411, 5851, 7292, 5851, 10364, 568, 14407, 3865, 22379, 2455, 22379, 921, 1843, 3774, 2426, 7594, 408, 2891, 41637, 12165, 3419, 3841, 725, 2034, 3031, 1955, 12976, 25126, 29360, 2034, 13679, 6290, 1398, 408, 22379, 2455, 1970, 28560, 44544, 568, 7544, 8960, 42099, 2853, 9157, 22379, 2455, 2657, 23398, 14117, 12673, 26994, 6540, 7544, 1175, 243, 42099, 15830, 1886, 33297, 9157, 4268, 3491, 41637, 36626, 5873, 1789, 6245, 14269, 408, 17678, 1398, 11583, 4265, 3730, 1811, 6540, 204, 7544, 8960, 42099, 2853, 9157, 1527, 8221, 40696, 20183, 5812, 10886, 33585, 408, 5643, 35151, 1456, 32463, 6817, 27312, 19912, 568, 24937, 2678, 12515, 1111, 408, 2657, 10852, 3601, 12673, 568, 6049, 6977, 5643, 10435, 8383, 45549, 16535, 408, 1970, 21550, 4296, 38700, 1111, 6540, 25669, 16806, 1951, 27901, 11273, 460, 9674, 408, 4987, 9141, 6977, 6899, 14034, 19912, 568, 0, 647, 11055, 204, 531, 424, 532, 40208, 9856, 989, 204, 531, 570, 532, 3300, 32598, 14860, 93, 204, 531, 8813, 532, 3505, 72, 12342, 8654, 204, 531, 860, 2539, 532, 3300, 32598, 7555, 17, 949, 68, 81, 23, 68, 5477, 68, 718, 204, 531, 11136, 532, 32634, 1110, 53, 812, 10560, 20613, 17, 47984, 56, 486, 14978, 20613, 204, 204, 461, 7575, 68, 23369, 68, 2004, 68, 32363, 68, 481, 13, 204, 264, 771, 68, 4077, 31, 421, 17, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 314, 666, 32634, 1110, 30338, 10560, 11136, 204, 264, 308, 276, 1110, 68, 22179, 10560, 68, 20099, 289, 32634, 1110, 53, 812, 10560, 20613, 13, 204, 268, 2658, 68, 2816, 34, 2230, 68, 2816, 17, 2658, 68, 11684, 93, 34, 2230, 68, 11684, 93, 17, 5746, 34, 9210, 204, 264, 1179, 204, 204, 264, 314, 1716, 3326, 917, 204, 264, 3326, 68, 1096, 289, 308, 276, 1110, 68, 22179, 10560, 68, 20099, 19, 2045, 68, 7025, 68, 1096, 13, 204, 268, 265, 68, 1155, 34, 2394, 68, 997, 83, 17, 204, 268, 424, 34, 481, 68, 997, 83, 17, 204, 268, 279, 36981, 204, 268, 3265, 68, 668, 34, 1637, 3493, 68, 9210, 68, 655, 17, 204, 268, 3265, 68, 2451, 27875, 204, 264, 1179, 204, 264, 407, 3326, 68, 1096, 204, 204, 204, 461, 951, 68, 2115, 32598, 68, 11684, 93, 68, 541, 30861, 13, 204, 264, 6941, 68, 997, 83, 17, 424, 68, 997, 83, 17, 2658, 68, 2816, 31, 421, 17, 2658, 68, 11684, 93, 31, 421, 17, 5746, 31, 421, 204, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 2672, 3300, 32598, 40292, 974, 33492, 1216, 19, 204, 204, 264, 4435, 31, 204, 264, 6941, 68, 997, 83, 31, 7502, 2072, 19, 204, 264, 424, 68, 997, 83, 31, 7502, 424, 19, 204, 264, 2658, 68, 2816, 322, 339, 330, 3239, 302, 5150, 302, 275, 10781, 2817, 19, 204, 264, 2658, 68, 11684, 93, 322, 339, 330, 3239, 302, 5150, 302, 275, 3300, 32598, 40292, 19, 204, 264, 5746, 322, 339, 330, 6259, 5746, 302, 3300, 32598, 40292, 21364, 19, 204, 204, 264, 475, 31, 204, 264, 1135, 31, 11920, 917, 302, 275, 3300, 32598, 40292, 19, 204, 264, 320, 204, 264, 314, 888, 42856, 5746, 458, 204, 264, 42856, 68, 9210, 68, 655, 289, 458, 13, 7937, 32598, 7555, 13, 2230, 34, 2230, 68, 11684, 93, 17, 32197, 34, 9210, 602, 204, 204, 264, 314, 666, 33492, 20984, 11136, 204, 264, 33492, 68, 36332, 68, 20099, 289, 47984, 56, 486, 14978, 20613, 13, 204, 268, 2658, 68, 2816, 34, 2230, 68, 2816, 17, 2658, 68, 11684, 93, 34, 2230, 68, 11684, 93, 17, 5746, 34, 9210, 204, 264, 1179, 204, 204, 264, 314, 1716, 3326, 917, 204, 264, 3326, 68, 1096, 289, 33492, 68, 36332, 68, 20099, 19, 2045, 68, 7025, 68, 1096, 13, 204, 268, 265, 68, 873, 34, 2394, 68, 997, 83, 17, 204, 268, 424, 68, 873, 34, 481, 68, 997, 83, 17, 204, 268, 279, 36981, 204, 268, 3265, 68, 668, 34, 1637, 3493, 68, 9210, 68, 655, 17, 204, 268, 3265, 68, 2451, 27875, 204, 264, 1179, 204, 264, 407, 3326, 68, 1096, 204, 204, 204, 461, 919, 68, 2826, 13, 204, 264, 1563, 68, 1217, 31, 394, 17, 204, 264, 771, 68, 4077, 31, 421, 17, 204, 264, 5746, 31, 421, 17, 204, 264, 2658, 68, 2816, 31, 421, 17, 204, 264, 2658, 68, 11684, 93, 31, 421, 17, 204, 264, 9115, 31, 818, 17, 204, 264, 1216, 31, 394, 17, 204, 264, 4257, 31, 421, 17, 204, 264, 5163, 68, 8530, 31, 421, 17, 204, 264, 317, 23, 68, 17229, 31, 818, 17, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3215, 1563, 311, 273, 10044, 510, 19, 204, 204, 264, 4435, 31, 204, 264, 1563, 68, 1217, 322, 325, 330, 12985, 311, 919, 1563, 19, 204, 264, 771, 68, 4077, 322, 339, 330, 3239, 302, 1672, 1728, 311, 444, 6020, 19, 204, 264, 5746, 322, 339, 330, 6259, 5746, 302, 3300, 32598, 40292, 21364, 19, 204, 264, 2658, 68, 2816, 322, 339, 330, 3239, 302, 5150, 302, 275, 10781, 2817, 19, 204, 264, 2658, 68, 11684, 93, 322, 339, 330, 3239, 302, 5150, 302, 275, 3300, 32598, 40292, 19, 204, 264, 9115, 322, 996, 330, 12155, 302, 6063, 19, 204, 264, 1216, 322, 325, 330, 6339, 311, 732, 4401, 11891, 1110, 7, 521, 388, 541, 30861, 5561, 204, 264, 4257, 322, 339, 330, 7052, 4257, 19, 204, 264, 5163, 68, 8530, 322, 339, 330, 46698, 8813, 6684, 5168, 19, 204, 264, 317, 23, 68, 17229, 322, 996, 330, 480, 23, 4190, 302, 275, 3300, 32598, 40292, 19, 204, 264, 320, 204, 264, 314, 666, 2557, 955, 204, 264, 2557, 289, 463, 204, 268, 388, 920, 68, 4077, 559, 771, 68, 4077, 17, 204, 268, 388, 9210, 559, 5746, 17, 204, 268, 388, 2230, 68, 2816, 559, 2658, 68, 2816, 17, 204, 268, 388, 2230, 68, 11684, 93, 559, 2658, 68, 11684, 93, 17, 204, 268, 388, 8456, 559, 9115, 17, 204, 268, 388, 1939, 559, 1216, 17, 204, 268, 388, 5273, 559, 4257, 17, 204, 268, 388, 5189, 68, 8530, 559, 5163, 68, 8530, 17, 204, 264, 1211, 204, 204, 264, 314, 666, 1563, 955, 204, 264, 1563, 289, 2832, 81, 23, 68, 17229, 559, 11465, 31, 26, 42, 14303, 2478, 13, 81, 23, 68, 17229, 4150, 204, 204, 264, 314, 666, 919, 955, 204, 264, 919, 289, 2832, 2826, 559, 1563, 17, 388, 3282, 559, 2557, 98, 204, 204, 264, 314, 666, 10044, 2049, 204, 264, 469, 1368, 68, 2029, 289, 322, 204, 268, 283, 1954, 2826, 68, 1217, 46694, 204, 268, 283, 7, 2230, 68, 11684, 93, 19391, 2230, 68, 11684, 93, 6803, 7, 204, 268, 283, 7, 2230, 68, 2816, 19391, 2230, 68, 2816, 6803, 7, 204, 268, 283, 7, 9210, 19391, 9210, 6803, 7, 204, 268, 283, 7, 920, 68, 4077, 19391, 920, 68, 4077, 6803, 7, 204, 268, 283, 7, 1939, 19391, 1939, 6803, 7, 204, 268, 283, 7, 5189, 68, 8530, 19391, 5189, 68, 8530, 6803, 7, 204, 268, 283, 7, 5273, 19391, 5273, 3572, 20755, 7, 204, 264, 1179, 204, 204, 264, 314, 3400, 919, 311, 10044, 510, 204, 264, 440, 1451, 13, 20755, 68, 2029, 17, 388, 92, 431, 448, 510, 31, 204, 268, 11055, 19, 4573, 13, 1420, 17, 510, 17, 1540, 68, 2788, 68, 4007, 34, 1975, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 7575, 68, 23369, 68, 2004, 68, 32363, 68, 481, 13, 204, 268, 771, 68, 4077, 34, 2051, 17, 204, 268, 5746, 34, 23, 17, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 268, 2658, 68, 2816, 34, 24, 17, 204, 268, 2658, 68, 11684, 93, 34, 23, 17, 204, 268, 9115, 34, 21, 19, 22, 17, 204, 268, 1216, 1022, 11891, 1110, 528, 204, 268, 4257, 34, 5820, 17, 204, 268, 1563, 68, 1217, 1022, 2826, 528, 204, 264, 1179, 204, 0, 531, 10271, 532, 3207, 204, 647, 1559, 13188, 204, 647, 1559, 13188, 19, 3751, 375, 204, 647, 1361, 204, 204, 8, 6153, 1361, 204, 3247, 19, 6065, 13, 2201, 34, 3247, 19, 5142, 17, 1883, 10730, 8592, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 534, 204, 204, 461, 636, 68, 6772, 68, 13188, 68, 7010, 374, 393, 458, 31, 204, 264, 320, 204, 264, 475, 273, 458, 302, 2755, 26146, 7807, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 332, 458, 302, 2755, 26146, 7807, 19, 204, 264, 320, 204, 264, 314, 763, 2755, 26146, 7807, 974, 1559, 13188, 204, 264, 407, 1559, 13188, 19, 505, 68, 6772, 68, 7010, 374, 204, 204, 461, 2694, 68, 13188, 68, 9747, 13, 6772, 68, 7010, 31, 458, 14, 393, 1559, 13188, 19, 57, 301, 27590, 31, 204, 264, 320, 204, 264, 27148, 275, 1043, 2755, 26146, 5910, 19, 204, 204, 264, 457, 31, 204, 268, 2755, 68, 7010, 322, 655, 330, 332, 458, 302, 2755, 26146, 7807, 19, 204, 204, 264, 475, 31, 204, 268, 1559, 13188, 19, 57, 301, 27590, 31, 334, 1043, 2755, 26146, 5910, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 1236, 26146, 5910, 353, 1193, 19, 204, 264, 320, 204, 264, 314, 778, 397, 1422, 529, 1169, 2755, 7807, 204, 264, 397, 508, 2755, 68, 7010, 31, 204, 268, 1361, 19, 718, 499, 3882, 26146, 5910, 1193, 431, 204, 268, 980, 987, 499, 3882, 26146, 5910, 1193, 431, 204, 264, 314, 5988, 275, 1043, 2755, 5910, 204, 264, 407, 2755, 68, 7010, 64, 21, 66, 204, 204, 461, 2811, 68, 13188, 13, 935, 68, 546, 31, 394, 17, 15972, 31, 394, 17, 5910, 31, 1559, 13188, 19, 57, 301, 27590, 14, 393, 394, 31, 204, 264, 320, 204, 264, 9715, 26146, 523, 437, 752, 974, 275, 4285, 5910, 19, 204, 204, 264, 457, 31, 204, 268, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 752, 510, 19, 204, 268, 15972, 322, 325, 330, 334, 3269, 302, 275, 1068, 292, 275, 752, 19, 204, 268, 5910, 322, 948, 13188, 19, 57, 301, 27590, 330, 334, 26146, 5910, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4989, 1068, 497, 275, 752, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 437, 908, 3459, 1882, 26146, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 752, 974, 10271, 204, 268, 440, 3207, 19, 3664, 13, 935, 68, 546, 14, 448, 752, 31, 204, 305, 314, 3055, 26146, 974, 275, 4285, 5910, 204, 305, 24238, 289, 5910, 19, 935, 68, 633, 68, 1031, 13, 204, 485, 752, 17, 204, 485, 15972, 34, 12084, 17, 204, 485, 13513, 34, 948, 13188, 19, 3751, 375, 19, 3430, 12201, 374, 204, 305, 1179, 204, 305, 407, 24238, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 329, 304, 18, 4952, 490, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 3129, 1882, 26146, 31, 463, 74, 743, 204, 268, 980, 204, 204, 461, 667, 1293, 204, 264, 314, 968, 275, 752, 832, 329, 3269, 204, 264, 752, 68, 546, 289, 5014, 10669, 20, 530, 20375, 12005, 20, 18836, 20, 804, 23, 19, 4955, 12, 204, 264, 15972, 289, 379, 697, 12, 204, 615, 264, 810, 31, 204, 268, 314, 763, 2755, 26146, 7807, 204, 268, 2755, 68, 7010, 289, 636, 68, 6772, 68, 13188, 68, 7010, 374, 204, 268, 314, 5988, 275, 1043, 2755, 5910, 204, 268, 5910, 289, 2694, 68, 13188, 68, 9747, 13, 6772, 68, 7010, 14, 204, 268, 314, 3055, 26146, 204, 268, 722, 289, 2811, 68, 13188, 13, 935, 68, 546, 17, 15972, 17, 5910, 14, 204, 268, 314, 1198, 275, 722, 204, 268, 1361, 19, 1270, 13, 1300, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 2175, 275, 908, 204, 268, 1361, 19, 718, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 1061, 17, 783, 204, 204, 531, 283, 863, 339, 19, 2555, 532, 778, 3295, 17, 778, 56, 1826, 516, 17, 778, 5725, 204, 531, 283, 863, 339, 19, 809, 19, 13933, 532, 592, 39724, 2940, 17, 2416, 20070, 17, 636, 68, 1668, 68, 1424, 68, 417, 17, 636, 68, 898, 68, 1424, 68, 417, 204, 204, 676, 9182, 1046, 5767, 13, 5995, 3295, 330, 204, 264, 320, 204, 264, 332, 1356, 496, 830, 14542, 529, 4851, 329, 874, 19686, 3003, 329, 7505, 19, 204, 204, 264, 1058, 1356, 16698, 496, 848, 2054, 292, 275, 570, 353, 4851, 311, 273, 1097, 1029, 4781, 329, 2054, 19, 204, 264, 1547, 1425, 5377, 496, 275, 2054, 3003, 329, 7505, 529, 19686, 19, 204, 264, 320, 204, 204, 264, 1642, 6649, 204, 264, 436, 636, 68, 36033, 13, 4621, 14, 393, 1061, 64, 325, 17, 778, 56, 1826, 516, 744, 204, 268, 320, 204, 268, 475, 275, 20206, 7758, 560, 808, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 332, 955, 4707, 4634, 1987, 311, 1017, 3310, 3681, 1291, 19, 204, 268, 320, 204, 268, 407, 463, 204, 305, 388, 898, 18, 1551, 18, 9372, 559, 778, 56, 1826, 516, 19, 20961, 17, 204, 305, 388, 7976, 18, 2170, 18, 8264, 18, 266, 18, 2602, 559, 778, 56, 1826, 516, 19, 8252, 17, 204, 305, 388, 7976, 18, 2170, 18, 898, 18, 266, 18, 2602, 559, 778, 56, 1826, 516, 19, 8252, 17, 204, 305, 388, 7976, 18, 809, 18, 37263, 559, 778, 56, 1826, 516, 19, 8252, 17, 204, 305, 388, 31448, 299, 18, 898, 18, 3813, 18, 266, 18, 2602, 559, 778, 56, 1826, 516, 19, 8252, 17, 204, 305, 388, 31448, 299, 18, 898, 18, 18610, 18, 266, 18, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2602, 559, 778, 56, 1826, 516, 19, 8252, 204, 268, 1211, 204, 204, 264, 436, 906, 2555, 68, 898, 68, 2602, 13, 327, 17, 722, 31, 778, 5725, 17, 570, 31, 2416, 20070, 17, 4781, 17, 2054, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4191, 397, 273, 2054, 353, 4851, 311, 273, 1097, 1029, 4781, 329, 2054, 19, 204, 204, 268, 457, 31, 204, 305, 722, 31, 334, 1356, 722, 311, 1395, 440, 1169, 3490, 1193, 19, 204, 305, 570, 31, 334, 18681, 570, 2545, 13860, 19, 204, 305, 4781, 31, 334, 4781, 496, 23672, 275, 2054, 19, 204, 305, 2054, 31, 334, 2054, 311, 1356, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 763, 275, 1029, 4781, 588, 497, 275, 2054, 204, 268, 1029, 68, 1668, 68, 417, 289, 2054, 19, 505, 68, 2170, 68, 1668, 374, 204, 268, 397, 508, 1029, 68, 1668, 68, 417, 31, 204, 305, 314, 828, 275, 2054, 353, 508, 4851, 17, 881, 273, 1844, 311, 275, 722, 204, 305, 722, 19, 826, 68, 9861, 499, 898, 18, 1551, 18, 9372, 528, 388, 360, 508, 4851, 528, 570, 17, 4781, 17, 2054, 14, 204, 305, 407, 204, 204, 268, 810, 31, 204, 305, 314, 763, 275, 1029, 4781, 497, 275, 570, 204, 305, 1029, 68, 1668, 289, 636, 68, 1668, 68, 1424, 68, 417, 13, 809, 17, 1029, 68, 1668, 68, 417, 14, 204, 305, 397, 1029, 68, 1668, 353, 443, 31, 204, 485, 314, 828, 275, 1029, 4781, 1583, 508, 1337, 17, 881, 273, 1844, 311, 275, 722, 204, 485, 722, 19, 826, 68, 9861, 499, 7976, 18, 2170, 18, 8264, 18, 266, 18, 2602, 528, 204, 22377, 283, 7, 9372, 311, 1950, 18, 16267, 4781, 463, 2170, 68, 1668, 68, 417, 7068, 204, 22377, 570, 17, 4781, 17, 2054, 14, 204, 485, 407, 204, 204, 305, 314, 763, 275, 1029, 2054, 497, 275, 1029, 4781, 204, 305, 1029, 68, 898, 289, 636, 68, 898, 68, 1424, 68, 417, 13, 2170, 68, 1668, 17, 2054, 19, 505, 68, 2170, 68, 898, 2144, 2054, 19, 505, 68, 2170, 68, 920, 1447, 204, 305, 397, 1029, 68, 898, 353, 443, 521, 1029, 68, 898, 19, 505, 68, 1129, 68, 1190, 374, 353, 443, 31, 204, 485, 314, 828, 275, 1029, 2054, 1583, 508, 1337, 521, 869, 1236, 846, 542, 17, 881, 273, 1844, 311, 275, 722, 204, 485, 722, 19, 826, 68, 9861, 499, 7976, 18, 2170, 18, 898, 18, 266, 18, 2602, 528, 204, 22377, 283, 7, 9372, 311, 1950, 18, 16267, 2054, 463, 2170, 68, 1668, 19, 505, 68, 417, 374, 15999, 898, 19, 505, 68, 2170, 68, 898, 374, 10829, 898, 19, 505, 68, 2170, 68, 920, 374, 7068, 204, 22377, 570, 17, 4781, 17, 2054, 14, 204, 485, 407, 204, 204, 305, 314, 763, 275, 846, 542, 302, 275, 1029, 2054, 204, 305, 846, 68, 920, 289, 368, 397, 1029, 68, 898, 19, 505, 68, 1129, 68, 1190, 374, 353, 443, 902, 421, 13, 2170, 68, 898, 19, 505, 68, 1129, 68, 1190, 1447, 204, 305, 397, 846, 68, 920, 2186, 2054, 19, 505, 68, 2170, 68, 920, 1293, 204, 485, 314, 828, 275, 1029, 2054, 542, 10472, 275, 846, 542, 17, 881, 273, 1844, 311, 275, 722, 204, 485, 722, 19, 826, 68, 9861, 499, 7976, 18, 2170, 18, 898, 18, 266, 18, 2602, 528, 204, 22377, 283, 7, 9372, 311, 1950, 18, 16267, 2054, 463, 2170, 68, 1668, 19, 505, 68, 417, 374, 15999, 898, 19, 505, 68, 2170, 68, 898, 374, 10829, 898, 19, 505, 68, 2170, 68, 920, 374, 3572, 9076, 31, 2931, 12770, 8354, 528, 204, 22377, 570, 17, 4781, 17, 2054, 14, 204, 485, 407, 204, 268, 827, 592, 39724, 2940, 448, 6926, 31, 204, 305, 314, 828, 437, 292, 39724, 2710, 3459, 17, 881, 273, 1844, 311, 275, 722, 204, 305, 722, 19, 826, 68, 9861, 499, 7976, 18, 809, 18, 37263, 528, 394, 13, 13758, 602, 204, 305, 407, 204, 204, 268, 314, 778, 275, 2054, 3003, 329, 7505, 204, 268, 370, 806, 2555, 68, 898, 68, 3813, 68, 416, 68, 18610, 13, 1300, 17, 570, 17, 4781, 17, 2054, 17, 1029, 68, 1668, 17, 1029, 68, 898, 14, 204, 204, 264, 436, 906, 2555, 68, 898, 68, 3813, 68, 416, 68, 18610, 13, 327, 17, 722, 31, 778, 5725, 17, 570, 31, 2416, 20070, 17, 4781, 17, 2054, 17, 1029, 68, 1668, 17, 1029, 68, 898, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4191, 397, 275, 2054, 3003, 329, 7505, 529, 19686, 19, 204, 204, 268, 457, 31, 204, 305, 722, 31, 334, 1356, 722, 311, 1395, 440, 1169, 3490, 1193, 19, 204, 305, 570, 31, 334, 18681, 570, 2545, 13860, 19, 204, 305, 4781, 31, 334, 4781, 496, 23672, 275, 2054, 19, 204, 305, 2054, 31, 334, 2054, 311, 1356, 19, 204, 305, 1029, 68, 1668, 31, 334, 1029, 4781, 19, 204, 305, 1029, 68, 898, 31, 334, 1029, 2054, 19, 204, 204, 268, 475, 31, 204, 305, 443, 204, 268, 320, 204, 268, 314, 778, 397, 275, 2054, 3003, 529, 19686, 204, 268, 397, 508, 322, 898, 19, 505, 68, 932, 374, 564, 388, 4693, 7, 521, 1029, 68, 898, 19, 505, 68, 932, 374, 564, 388, 4693, 7, 521, 2054, 19, 505, 68, 932, 374, 564, 1029, 68, 898, 19, 505, 68, 932, 13077, 204, 305, 314, 828, 275, 2054, 3003, 529, 508, 19686, 17, 881, 273, 1844, 311, 275, 722, 204, 305, 722, 19, 826, 68, 9861, 499, 31448, 299, 18, 898, 18, 3813, 18, 266, 18, 2602, 528, 204, 18553, 283, 7, 360, 4851, 311, 2054, 463, 5995, 3295, 19, 505, 68, 11187, 68, 10145, 13, 809, 17, 1029, 68, 1668, 17, 1029, 68, 898, 4150, 302, 9263, 1187, 463, 2170, 68, 898, 19, 505, 68, 932, 374, 7068, 204, 18553, 570, 17, 4781, 17, 2054, 14, 204, 204, 268, 314, 778, 397, 275, 2054, 7505, 529, 19686, 204, 268, 397, 2054, 19, 505, 68, 5863, 374, 564, 1029, 68, 898, 19, 505, 68, 5863, 1293, 204, 305, 314, 828, 275, 2054, 7505, 529, 508, 19686, 17, 881, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 611, 417, 3930, 492, 204, 485, 397, 588, 508, 292, 370, 19, 676, 68, 2199, 31, 204, 895, 3524, 204, 204, 485, 588, 289, 394, 13, 327, 19, 676, 68, 2199, 19, 998, 13, 417, 602, 204, 485, 30343, 289, 5026, 19, 2269, 611, 71, 307, 2036, 20, 29472, 3930, 492, 204, 485, 28681, 289, 5026, 19, 2269, 611, 71, 307, 2036, 20, 37191, 3930, 492, 204, 485, 27515, 289, 5026, 19, 2269, 611, 71, 307, 2036, 20, 34711, 3930, 492, 204, 485, 28611, 289, 5026, 19, 2269, 611, 71, 307, 2036, 20, 38888, 3930, 492, 204, 485, 2871, 289, 551, 29472, 17, 28681, 17, 27515, 17, 28611, 17, 588, 66, 204, 485, 6591, 19, 1223, 13, 2036, 14, 204, 204, 305, 407, 6591, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 16997, 6591, 497, 463, 5153, 68, 546, 2829, 463, 325, 13, 74, 3835, 204, 305, 407, 1306, 204, 204, 264, 436, 2270, 68, 1608, 13, 327, 17, 752, 68, 546, 31, 394, 17, 1800, 68, 546, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2605, 273, 4707, 1283, 2388, 329, 1017, 3310, 2871, 7777, 19, 204, 204, 268, 457, 31, 204, 305, 752, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 275, 2388, 19, 204, 305, 1800, 68, 546, 322, 325, 330, 334, 832, 311, 275, 1445, 1174, 275, 6275, 1769, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 440, 1451, 13, 327, 19, 2360, 68, 546, 17, 388, 92, 431, 448, 2106, 68, 553, 31, 204, 485, 752, 68, 2375, 289, 1127, 19, 8970, 13, 935, 68, 546, 14, 204, 485, 1800, 68, 2375, 289, 1127, 19, 8970, 13, 1676, 68, 546, 14, 204, 204, 485, 314, 778, 397, 275, 542, 302, 752, 329, 1800, 1860, 2216, 204, 485, 397, 1245, 13, 935, 68, 2375, 14, 2167, 1245, 13, 1676, 68, 2375, 330, 204, 895, 456, 499, 18928, 31, 3239, 302, 752, 329, 1800, 1860, 770, 508, 2216, 1280, 204, 204, 485, 348, 752, 17, 1800, 292, 4337, 13, 935, 68, 2375, 17, 1800, 68, 2375, 330, 204, 895, 752, 68, 417, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 11106, 13, 935, 68, 546, 659, 752, 14, 204, 895, 9229, 68, 417, 289, 1127, 19, 546, 19, 1541, 13, 1676, 68, 546, 17, 1800, 14, 204, 204, 895, 6591, 289, 370, 19, 5184, 68, 7040, 13, 5153, 68, 417, 14, 204, 204, 895, 314, 2208, 275, 458, 302, 6591, 311, 273, 782, 204, 895, 1769, 289, 379, 3759, 1541, 9086, 2625, 1541, 13, 2036, 14, 348, 2871, 292, 6591, 14, 204, 204, 895, 2304, 68, 15488, 289, 283, 1954, 935, 68, 417, 98, 463, 2185, 2277, 83, 7, 204, 895, 2106, 68, 553, 19, 2206, 13, 1608, 68, 15488, 14, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 456, 13, 75, 7, 596, 5343, 2304, 31, 463, 325, 13, 74, 3835, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 2106, 68, 1217, 289, 17937, 1087, 20, 3497, 68, 1219, 19, 3039, 7, 204, 264, 752, 68, 1217, 289, 388, 41, 15459, 11700, 68, 7154, 20, 22343, 68, 12355, 20, 22343, 25619, 20, 2936, 7, 204, 264, 1800, 68, 1217, 289, 388, 41, 15459, 11700, 68, 7154, 20, 22343, 68, 12355, 20, 22343, 25619, 20, 14721, 7, 204, 264, 850, 68, 2199, 289, 3134, 676, 22, 528, 388, 676, 23, 528, 388, 676, 24, 1339, 226, 314, 4546, 440, 1214, 2641, 850, 1987, 204, 204, 264, 2871, 68, 16647, 289, 14851, 15645, 13, 2360, 68, 1217, 17, 850, 68, 2199, 14, 204, 264, 2871, 68, 16647, 19, 3751, 68, 1608, 13, 935, 68, 1217, 17, 1800, 68, 1217, 14, 204, 0, 647, 6632, 24, 204, 647, 1264, 1825, 204, 531, 1498, 532, 1535, 204, 531, 4433, 532, 3017, 17, 824, 17, 2111, 68, 3143, 68, 1031, 204, 204, 748, 289, 3017, 3843, 417, 4422, 204, 204, 8, 968, 273, 741, 311, 949, 275, 1302, 302, 273, 510, 292, 273, 3651, 18, 13821, 1883, 204, 461, 949, 68, 835, 13, 11403, 68, 835, 31, 421, 14, 393, 394, 31, 204, 264, 320, 11479, 275, 1302, 302, 273, 510, 292, 273, 3651, 18, 13821, 1883, 1279, 204, 264, 7539, 289, 2470, 17974, 491, 379, 26751, 17974, 491, 379, 36635, 17974, 491, 379, 146, 247, 17974, 491, 379, 32835, 17974, 839, 204, 264, 6491, 289, 500, 204, 264, 1335, 7480, 68, 835, 1323, 10696, 31, 204, 268, 7480, 68, 835, 16695, 10696, 204, 268, 6491, 1412, 368, 204, 264, 397, 6491, 1323, 500, 31, 204, 268, 407, 283, 1954, 11403, 68, 835, 4567, 23, 75, 98, 463, 7516, 64, 12786, 25718, 204, 264, 902, 31, 204, 268, 407, 283, 1954, 11403, 68, 835, 98, 463, 7516, 64, 21, 25718, 204, 204, 8, 968, 273, 741, 311, 2694, 275, 1666, 302, 273, 23349, 497, 275, 1104, 204, 461, 2694, 68, 2387, 13, 28692, 68, 359, 31, 421, 14, 393, 1535, 64, 325, 744, 204, 264, 320, 10894, 275, 1666, 302, 273, 23349, 497, 275, 1104, 1279, 204, 264, 810, 31, 204, 268, 440, 6632, 24, 19, 2933, 611, 3349, 20, 2387, 19, 1479, 24, 534, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 3370, 19, 4118, 611, 7097, 845, 7281, 4578, 8888, 32673, 34, 22919, 322, 28692, 68, 359, 11451, 204, 305, 722, 289, 3370, 19, 18778, 374, 204, 305, 397, 722, 31, 204, 485, 1666, 289, 1264, 1825, 19, 285, 21276, 13, 1300, 64, 21, 694, 204, 485, 314, 1974, 273, 2599, 4712, 311, 2252, 45969, 7154, 204, 485, 532, 5004, 204, 485, 407, 5004, 19, 350, 20409, 13, 2387, 19, 5286, 611, 3102, 18, 29, 3063, 204, 305, 902, 31, 204, 485, 407, 443, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 14056, 1666, 31, 463, 74, 743, 204, 268, 407, 443, 204, 204, 8, 968, 273, 5143, 348, 275, 667, 1472, 204, 37, 748, 19, 3955, 22403, 2986, 4980, 5016, 2378, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 23349, 1222, 497, 275, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1484, 782, 204, 264, 23349, 68, 359, 289, 421, 13, 1443, 19, 1038, 19, 505, 611, 36227, 491, 500, 602, 204, 204, 264, 314, 6370, 311, 275, 1104, 204, 264, 810, 31, 204, 268, 440, 6632, 24, 19, 2933, 611, 3349, 20, 28692, 88, 19, 1479, 24, 534, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 3370, 19, 4118, 22811, 204, 485, 15754, 588, 68, 3924, 17, 588, 68, 39822, 17, 3678, 68, 1270, 17, 1724, 17, 1302, 68, 71, 17, 1489, 68, 2141, 204, 485, 7281, 322, 28692, 12341, 265, 7086, 5157, 24572, 12341, 284, 523, 265, 19, 39822, 68, 359, 34, 85, 19, 1181, 68, 39822, 14, 7086, 5157, 2851, 12341, 468, 523, 284, 19, 3924, 68, 359, 34, 87, 19, 1181, 68, 3924, 204, 485, 8888, 510, 68, 359, 34, 36, 204, 305, 44550, 322, 28692, 68, 359, 11451, 204, 305, 722, 289, 3370, 19, 18778, 374, 204, 305, 397, 722, 31, 204, 485, 314, 4784, 275, 2966, 2399, 204, 485, 2399, 289, 17518, 204, 895, 962, 6, 4701, 2213, 23203, 2966, 35, 204, 895, 962, 2079, 35, 204, 895, 962, 1885, 35, 204, 895, 962, 6656, 4778, 18, 16953, 1022, 2387, 18, 932, 7, 1666, 1022, 492, 20, 2079, 32, 21095, 34, 3102, 18, 29, 10091, 204, 895, 962, 1778, 35, 10702, 1724, 1211, 18630, 1778, 35, 204, 895, 962, 2850, 1384, 1022, 48228, 7, 1187, 1022, 492, 20, 11016, 7, 12712, 1022, 6691, 3643, 14105, 19, 11016, 7, 49149, 204, 895, 12649, 1885, 35, 204, 895, 962, 3825, 35, 204, 895, 962, 1867, 850, 1022, 1509, 1867, 10091, 204, 895, 962, 997, 35, 204, 895, 962, 8171, 6060, 1022, 13123, 18, 14156, 31, 2723, 32, 42994, 85, 850, 1022, 1270, 10091, 10702, 2851, 28112, 33, 6600, 49149, 11, 87, 3417, 87, 32, 17261, 24572, 1211, 18630, 85, 16101, 8171, 35, 204, 895, 962, 8171, 6060, 1022, 2435, 31, 1916, 42424, 6329, 18, 14156, 31, 14154, 42994, 85, 850, 1022, 1270, 10091, 33291, 44446, 11145, 19411, 31, 962, 71, 35, 10702, 1302, 1211, 18630, 71, 16101, 85, 16101, 8171, 35, 204, 895, 962, 8171, 6060, 1022, 2435, 31, 2019, 42424, 6329, 18, 14156, 31, 14154, 7, 13297, 1022, 1633, 42994, 85, 850, 1022, 1270, 42994, 71, 35, 10702, 1489, 1211, 18630, 71, 35, 17261, 690, 1211, 18630, 85, 16101, 8171, 35, 204, 895, 962, 8171, 6060, 1022, 2435, 31, 1168, 42424, 42994, 70, 12712, 1022, 30826, 31, 36, 383, 34, 343, 31, 6457, 20299, 31, 10702, 3678, 68, 1270, 1211, 2495, 12957, 3371, 6934, 1022, 6691, 24451, 20, 7237, 2169, 19, 4955, 7, 13297, 1022, 1633, 7, 9998, 1022, 22747, 21751, 12440, 36300, 7, 1724, 1022, 22747, 21751, 12440, 36300, 14537, 3712, 18169, 18, 6011, 6011, 11003, 7262, 9201, 3757, 48226, 70, 16101, 8171, 35, 204, 895, 12649, 997, 35, 204, 895, 12649, 1867, 35, 204, 895, 962, 2952, 850, 1022, 2594, 24, 7, 6060, 1022, 1932, 31, 6768, 32, 226, 1913, 31, 2753, 11930, 32, 5665, 18, 2640, 31, 14806, 13, 41333, 17, 41333, 17, 41333, 5224, 10091, 204, 895, 962, 2952, 850, 1022, 2594, 26, 42994, 77, 23, 35, 10702, 1724, 1211, 18630, 77, 23, 16101, 2952, 35, 204, 895, 962, 2952, 850, 1022, 2288, 68, 3825, 10091, 204, 895, 37051, 397, 1666, 31957, 204, 895, 17261, 1666, 1152, 7399, 28112, 204, 895, 37051, 902, 31957, 204, 895, 962, 77, 24, 6060, 1022, 492, 18, 14156, 31, 5342, 10091, 40485, 3852, 47268, 10408, 42600, 6011, 9193, 4606, 12255, 8233, 9193, 20291, 5421, 77, 24, 35, 204, 895, 37051, 1136, 403, 31957, 204, 895, 962, 6600, 802, 12957, 6600, 802, 16101, 2952, 35, 204, 895, 12649, 2952, 35, 204, 895, 962, 2952, 850, 1022, 2594, 25, 10091, 204, 895, 962, 1867, 850, 1022, 1509, 1867, 7, 2092, 12798, 1022, 21, 7, 2092, 21335, 1022, 21, 10091, 204, 895, 962, 997, 12957, 8171, 2198, 1022, 2188, 10, 42994, 85, 35, 2152, 5421, 85, 16101, 8171, 35, 204, 895, 962, 8171, 2198, 1022, 2682, 10, 7, 13297, 1022, 5342, 42994, 85, 35, 2152, 5421, 85, 16101, 8171, 35, 204, 895, 962, 8171, 6060, 1022, 492, 18, 14156, 31, 1633, 42994, 85, 6060, 1022, 18811, 18, 2723, 31, 26, 11930, 10091, 11, 3462, 32, 62, 24, 21972, 5421, 85, 16101, 8171, 35, 204, 895, 12649, 997, 16101, 1867, 35, 204, 895, 12649, 2952, 35, 204, 895, 962, 2952, 850, 1022, 10098, 42994, 70, 850, 1022, 836, 22, 7, 12712, 1022, 26594, 31, 2997, 19, 3529, 374, 7, 1724, 1022, 40485, 38917, 5676, 11003, 4606, 10408, 48226, 70, 16101, 2952, 35, 204, 895, 12649, 3825, 35, 204, 895, 12649, 2079, 35, 204, 485, 17518, 204, 485, 1666, 289, 2694, 68, 2387, 13, 28692, 68, 359, 14, 204, 485, 407, 2111, 68, 3143, 68, 1031, 13, 3143, 17, 1724, 34, 1300, 64, 24, 648, 2851, 34, 1300, 64, 21, 648, 24572, 34, 1300, 64, 22, 648, 1302, 34, 3446, 68, 835, 13, 1300, 64, 25, 5060, 1489, 34, 1300, 64, 26, 26378, 1003, 648, 690, 34, 1300, 64, 26, 1799, 1641, 16915, 3678, 68, 1270, 34, 1300, 64, 23, 648, 1666, 34, 2387, 14, 204, 305, 902, 31, 204, 485, 407, 379, 40485, 3852, 47268, 10408, 42600, 6011, 9193, 4606, 12255, 8233, 9193, 20291, 12, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 12076, 311, 1104, 31, 463, 74, 743, 204, 268, 407, 379, 596, 12076, 311, 1104, 12, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 740, 19, 1777, 374, 204, 0, 7016, 6413, 20, 3539, 20, 5207, 24, 204, 367, 2256, 367, 289, 388, 21, 19, 22, 19, 4343, 7, 204, 204, 531, 25464, 19, 12084, 532, 38314, 204, 531, 25464, 19, 7632, 19, 1775, 4046, 532, 8884, 12909, 204, 531, 25464, 19, 34843, 19, 2947, 532, 15758, 204, 531, 25464, 19, 34843, 19, 5321, 2754, 532, 23145, 3313, 17, 23145, 204, 531, 724, 467, 6412, 73, 19, 748, 532, 12281, 3543, 204, 204, 531, 7694, 19, 935, 1529, 2700, 532, 3207, 3244, 12398, 204, 531, 7694, 19, 1529, 13583, 532, 9845, 26074, 204, 204, 12201, 19, 986, 68, 553, 499, 28774, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 20, 660, 2036, 19, 28774, 431, 204, 531, 25464, 19, 1234, 19, 2997, 532, 11024, 204, 204, 531, 6836, 19, 6734, 532, 25114, 204, 204, 676, 502, 18864, 3313, 13, 18864, 3313, 330, 204, 264, 320, 9005, 23145, 3313, 850, 1279, 204, 264, 1879, 204, 204, 676, 14517, 18864, 13, 18864, 330, 204, 264, 320, 11868, 3645, 1279, 204, 264, 1879, 204, 204, 676, 24513, 18864, 13, 18864, 330, 204, 264, 320, 7313, 88, 3645, 1279, 204, 264, 1879, 204, 204, 676, 15680, 18864, 13, 18864, 330, 204, 264, 320, 204, 264, 15680, 3645, 19, 204, 204, 264, 1532, 31, 204, 268, 5465, 68, 660, 68, 2036, 322, 3314, 330, 334, 667, 2871, 292, 275, 2557, 3645, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 930, 2251, 330, 204, 268, 2234, 3853, 924, 27606, 2251, 14, 204, 268, 370, 19, 12825, 68, 660, 68, 2036, 289, 370, 19, 1915, 19, 12825, 68, 660, 68, 2036, 226, 314, 6652, 5465, 68, 660, 68, 2036, 353, 437, 1222, 292, 275, 1144, 59, 510, 204, 204, 268, 314, 666, 273, 2963, 311, 1307, 1818, 311, 275, 4607, 204, 268, 4607, 68, 2947, 289, 15758, 13, 492, 1022, 11868, 431, 204, 268, 4607, 68, 2947, 19, 8357, 13, 271, 68, 4321, 34, 327, 19, 3216, 68, 1715, 68, 633, 68, 5386, 14, 204, 268, 370, 19, 12825, 68, 660, 68, 2036, 19, 826, 68, 5275, 13, 5386, 68, 2947, 14, 204, 204, 264, 436, 758, 68, 2256, 68, 1676, 13, 327, 17, 2585, 31, 394, 17, 1302, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 1359, 275, 2585, 1800, 523, 275, 2557, 3645, 19, 204, 204, 268, 457, 31, 204, 305, 2585, 322, 325, 330, 334, 2585, 542, 19, 204, 305, 1302, 322, 325, 330, 334, 2158, 1302, 19, 204, 268, 320, 204, 268, 2585, 68, 1676, 289, 15758, 13, 492, 34, 75, 7, 11223, 463, 2256, 2277, 83, 96, 835, 743, 204, 268, 2585, 68, 1676, 19, 6823, 68, 835, 289, 388, 1036, 2184, 7, 204, 268, 370, 19, 12825, 68, 660, 68, 2036, 19, 826, 68, 5275, 13, 2256, 68, 1676, 14, 204, 204, 264, 436, 1307, 68, 1715, 68, 633, 68, 5386, 13, 327, 17, 1014, 14, 393, 443, 31, 204, 268, 320, 9686, 1818, 311, 275, 4607, 3645, 1279, 204, 268, 370, 19, 2754, 19, 1976, 289, 388, 5386, 7, 204, 204, 676, 3338, 6754, 3543, 13, 12688, 3543, 330, 204, 264, 320, 204, 264, 3338, 1650, 850, 19, 204, 204, 264, 1532, 31, 204, 268, 6929, 68, 481, 322, 22226, 12909, 330, 334, 6929, 424, 19, 204, 268, 1356, 68, 481, 322, 873, 330, 334, 13860, 424, 19, 204, 268, 16619, 68, 7590, 68, 8530, 322, 2107, 330, 334, 16619, 1340, 5168, 19, 204, 268, 752, 68, 12011, 68, 8530, 322, 325, 330, 334, 752, 10570, 5168, 19, 204, 268, 10168, 322, 21573, 330, 334, 1767, 726, 19, 204, 268, 1903, 322, 5200, 13701, 3313, 330, 334, 3645, 4000, 19, 204, 264, 320, 204, 204, 264, 436, 2270, 13, 327, 14, 393, 502, 18864, 3313, 31, 204, 268, 320, 204, 268, 4908, 275, 667, 1650, 19, 204, 204, 268, 475, 31, 204, 305, 502, 18864, 3313, 31, 334, 3645, 4000, 19, 204, 268, 320, 204, 268, 370, 19, 32101, 68, 481, 289, 8884, 12909, 611, 481, 20, 481, 19, 1775, 534, 204, 268, 370, 19, 2555, 68, 481, 289, 370, 19, 32101, 68, 481, 19, 505, 499, 25866, 431, 204, 268, 370, 19, 558, 36353, 68, 7590, 68, 8530, 289, 370, 19, 32101, 68, 481, 19, 505, 499, 1529, 431, 1166, 558, 36353, 68, 7590, 1339, 204, 268, 370, 19, 935, 68, 12011, 68, 8530, 289, 370, 19, 32101, 68, 481, 19, 505, 499, 935, 68, 12011, 68, 8530, 431, 1166, 935, 68, 12011, 68, 8530, 1339, 204, 268, 370, 19, 6734, 289, 25114, 374, 204, 204, 268, 314, 763, 275, 3597, 5377, 204, 268, 3597, 68, 24182, 289, 551, 80, 348, 724, 292, 370, 19, 2555, 68, 481, 397, 370, 19, 2555, 68, 481, 64, 80, 2629, 204, 268, 370, 19, 6734, 19, 574, 68, 481, 68, 271, 68, 6734, 13, 4855, 68, 24182, 14, 204, 204, 268, 314, 977, 275, 3645, 4000, 204, 268, 370, 19, 5226, 289, 502, 18864, 3313, 374, 204, 204, 268, 314, 1255, 275, 4607, 329, 7694, 27866, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 11868, 18864, 13, 417, 833, 5386, 3063, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 7313, 88, 18864, 13, 417, 833, 13271, 3063, 204, 204, 268, 314, 977, 275, 2557, 3645, 17, 752, 2013, 2333, 17, 329, 2013, 13583, 204, 268, 370, 806, 924, 68, 3282, 68, 5321, 374, 204, 268, 370, 806, 924, 68, 935, 68, 1529, 68, 2700, 374, 204, 268, 370, 806, 924, 68, 1529, 13583, 374, 204, 204, 268, 407, 370, 19, 5226, 204, 204, 264, 436, 906, 924, 68, 1529, 13583, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 2013, 13583, 3645, 19, 204, 268, 320, 204, 268, 370, 19, 1529, 13583, 289, 9845, 26074, 13, 417, 833, 1529, 13583, 534, 204, 268, 370, 19, 1529, 13583, 19, 558, 36353, 68, 7590, 68, 8530, 289, 370, 19, 558, 36353, 68, 7590, 68, 8530, 204, 268, 370, 19, 1529, 13583, 19, 924, 68, 5365, 36260, 374, 204, 268, 370, 19, 1529, 13583, 19, 2045, 68, 12669, 374, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 327, 19, 1529, 13583, 14, 204, 204, 264, 436, 906, 924, 68, 935, 68, 1529, 68, 2700, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 752, 2013, 2333, 3645, 19, 204, 268, 320, 204, 268, 370, 19, 935, 68, 1529, 68, 2700, 289, 3207, 3244, 12398, 13, 417, 833, 935, 1529, 2700, 534, 204, 268, 370, 19, 935, 68, 1529, 68, 2700, 19, 924, 68, 2700, 68, 935, 13, 327, 19, 2555, 68, 481, 14, 204, 268, 370, 19, 935, 68, 1529, 68, 2700, 19, 574, 68, 6734, 13, 327, 19, 6734, 14, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 327, 19, 935, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 68, 1529, 68, 2700, 14, 204, 204, 264, 436, 906, 924, 68, 3282, 68, 5321, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 2557, 3645, 19, 204, 268, 320, 204, 268, 370, 19, 3282, 68, 5321, 289, 15680, 18864, 13, 417, 833, 3282, 534, 204, 268, 370, 19, 3282, 68, 5321, 19, 574, 68, 2256, 68, 1676, 3843, 2256, 14909, 394, 13, 5114, 19, 835, 602, 204, 268, 370, 19, 5226, 19, 826, 68, 5275, 13, 327, 19, 3282, 68, 5321, 14, 204, 204, 264, 436, 1523, 68, 1529, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 2466, 275, 2013, 3645, 19, 204, 268, 320, 204, 268, 370, 19, 5226, 19, 1976, 289, 388, 1529, 13583, 7, 204, 268, 3840, 68, 655, 289, 370, 19, 6734, 19, 481, 204, 268, 370, 19, 1529, 13583, 19, 19320, 68, 655, 19, 5892, 374, 204, 268, 370, 19, 1529, 13583, 19, 19320, 68, 655, 289, 3840, 68, 655, 19, 3462, 374, 204, 268, 370, 19, 1529, 13583, 19, 5365, 36260, 19, 5892, 68, 12669, 374, 204, 268, 370, 19, 1529, 13583, 19, 1510, 68, 19320, 374, 204, 268, 370, 19, 1529, 13583, 19, 1062, 269, 68, 935, 68, 6457, 853, 13, 327, 19, 1529, 13583, 19, 1976, 68, 19320, 17, 752, 68, 12011, 68, 8530, 34, 327, 19, 935, 68, 12011, 68, 8530, 14, 204, 268, 370, 19, 1529, 13583, 19, 826, 68, 266, 68, 5365, 90, 326, 13, 327, 19, 1529, 13583, 19, 1976, 68, 19320, 14, 204, 204, 264, 436, 8062, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 19447, 275, 2388, 19, 204, 268, 320, 204, 268, 314, 23498, 31, 4862, 41439, 3975, 204, 268, 456, 499, 3971, 1380, 431, 204, 204, 264, 436, 1682, 68, 23340, 13, 327, 17, 1112, 31, 421, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5389, 311, 275, 1682, 15018, 19, 204, 204, 268, 457, 31, 204, 305, 1112, 322, 339, 330, 334, 790, 1112, 19, 204, 268, 320, 204, 268, 397, 1112, 353, 508, 443, 31, 204, 305, 1276, 289, 322, 998, 16, 22, 20245, 2051, 20, 1796, 13, 327, 19, 6734, 19, 481, 602, 204, 305, 370, 19, 1529, 13583, 19, 664, 727, 333, 19, 876, 289, 1276, 204, 268, 397, 1112, 2167, 500, 31, 204, 305, 370, 19, 1529, 13583, 19, 1510, 68, 19320, 374, 204, 305, 370, 19, 1529, 13583, 19, 1062, 269, 68, 935, 68, 6457, 853, 13, 327, 19, 1529, 13583, 19, 1976, 68, 19320, 17, 370, 19, 935, 68, 12011, 68, 8530, 14, 204, 305, 370, 19, 1529, 13583, 19, 826, 68, 266, 68, 5365, 90, 326, 13, 327, 19, 1529, 13583, 19, 1976, 68, 19320, 14, 204, 204, 264, 436, 2694, 68, 2207, 13, 327, 17, 2694, 68, 8530, 31, 1109, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5988, 273, 1627, 302, 2388, 19, 204, 204, 268, 457, 31, 204, 305, 2694, 68, 8530, 322, 2107, 330, 334, 7101, 5168, 19, 204, 268, 320, 204, 268, 370, 19, 935, 68, 1529, 68, 2700, 19, 4637, 68, 668, 13, 4637, 68, 8530, 14, 204, 204, 264, 436, 2106, 13, 327, 17, 424, 68, 655, 31, 458, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3025, 275, 4285, 2388, 19, 204, 204, 268, 457, 31, 204, 305, 424, 68, 655, 322, 655, 330, 334, 458, 302, 4285, 2388, 19, 204, 268, 320, 204, 268, 348, 588, 292, 370, 19, 2555, 68, 481, 31, 204, 305, 397, 588, 292, 424, 68, 655, 31, 204, 485, 370, 19, 2555, 68, 481, 64, 417, 66, 289, 959, 204, 305, 902, 31, 204, 485, 370, 19, 2555, 68, 481, 64, 417, 66, 289, 1078, 204, 268, 370, 19, 32101, 68, 481, 19, 399, 499, 25866, 528, 930, 327, 19, 2555, 68, 481, 14, 204, 204, 264, 436, 1688, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 4641, 275, 2388, 19, 204, 268, 320, 204, 268, 370, 19, 6734, 19, 2975, 374, 204, 268, 370, 19, 1777, 68, 1529, 374, 204, 204, 264, 436, 2694, 68, 12011, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5988, 10570, 521, 752, 2291, 19, 204, 268, 320, 204, 268, 370, 19, 1529, 13583, 19, 5365, 36260, 19, 5892, 68, 12669, 374, 204, 268, 370, 19, 1529, 13583, 19, 449, 340, 68, 19320, 19, 5892, 374, 204, 268, 397, 370, 19, 935, 68, 12011, 68, 8530, 564, 388, 2936, 559, 204, 305, 370, 19, 935, 68, 12011, 68, 8530, 289, 388, 4289, 7, 204, 268, 902, 31, 204, 305, 370, 19, 935, 68, 12011, 68, 8530, 289, 388, 2936, 7, 204, 268, 370, 19, 32101, 68, 481, 19, 399, 499, 935, 68, 12011, 68, 8530, 528, 752, 68, 12011, 68, 8530, 34, 327, 19, 935, 68, 12011, 68, 8530, 14, 204, 268, 370, 19, 1777, 68, 1529, 374, 204, 204, 264, 436, 3506, 13, 327, 17, 540, 81, 1038, 14, 393, 443, 31, 204, 268, 320, 204, 268, 9829, 275, 1650, 19, 204, 268, 320, 204, 268, 2234, 1528, 5029, 374, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 3338, 6754, 3543, 1528, 1777, 374, 204, 0, 647, 7693, 204, 531, 1593, 5536, 1054, 68, 18199, 19, 1996, 532, 25182, 6493, 56, 7706, 4307, 204, 647, 1127, 204, 647, 1875, 204, 204, 676, 25182, 6493, 13109, 13, 14569, 19, 13109, 330, 204, 264, 320, 204, 264, 332, 8917, 348, 20259, 25182, 6493, 5885, 19, 204, 264, 320, 204, 264, 588, 289, 388, 34167, 6493, 68, 18199, 7, 204, 204, 264, 436, 1012, 68, 8239, 13, 327, 14, 393, 7693, 19, 2862, 31, 204, 268, 320, 204, 268, 15374, 275, 20259, 1352, 560, 4488, 5448, 497, 273, 510, 19, 204, 268, 320, 204, 268, 314, 1606, 5448, 497, 273, 510, 204, 268, 14360, 289, 370, 19, 976, 68, 3968, 68, 531, 68, 553, 374, 204, 822, 268, 314, 7000, 273, 824, 348, 848, 1274, 204, 268, 348, 1779, 292, 14360, 31, 204, 305, 4353, 7693, 19, 2862, 13, 204, 485, 1779, 34, 805, 17, 716, 485, 5713, 2508, 204, 895, 379, 73, 2797, 68, 13888, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 597, 959, 17, 204, 895, 379, 4103, 68, 1942, 1835, 68, 655, 597, 551, 39348, 66, 204, 485, 4752, 716, 485, 5176, 34, 327, 19, 1703, 68, 8381, 204, 305, 1179, 204, 204, 264, 436, 1151, 68, 3968, 68, 531, 68, 553, 13, 327, 14, 393, 458, 31, 204, 268, 320, 204, 268, 4143, 5448, 497, 273, 510, 329, 2584, 1475, 448, 273, 458, 19, 204, 822, 268, 475, 31, 204, 305, 458, 31, 332, 458, 302, 5448, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 3594, 275, 510, 329, 1151, 275, 5448, 204, 305, 440, 1451, 13, 865, 19, 546, 19, 1541, 13, 865, 19, 14702, 2144, 379, 3924, 68, 1538, 68, 46754, 19, 3039, 2008, 379, 87, 534, 448, 510, 31, 204, 485, 407, 551, 1054, 19, 14246, 374, 348, 1007, 292, 510, 66, 204, 268, 827, 3180, 31, 204, 305, 314, 1426, 275, 1322, 1330, 275, 510, 353, 508, 1193, 204, 305, 456, 611, 2597, 2851, 68, 1538, 68, 46754, 19, 3039, 508, 1193, 534, 204, 305, 407, 1306, 204, 204, 264, 436, 2252, 68, 8381, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 7693, 19, 2862, 31, 204, 268, 320, 204, 268, 9246, 275, 6214, 329, 15943, 275, 542, 302, 6214, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1472, 204, 822, 268, 9112, 31, 204, 305, 7693, 19, 2862, 31, 332, 824, 348, 848, 1472, 204, 268, 320, 204, 268, 314, 1986, 275, 1472, 1040, 204, 268, 1472, 68, 765, 289, 370, 19, 5184, 68, 2225, 68, 765, 13, 1935, 14, 204, 822, 268, 397, 1472, 68, 765, 31, 204, 305, 314, 7000, 273, 824, 348, 848, 1472, 204, 305, 348, 296, 292, 933, 13, 2225, 68, 765, 330, 204, 485, 1779, 289, 958, 19, 805, 465, 283, 12, 36, 4329, 19044, 68, 22, 2508, 78, 16, 22, 2867, 204, 485, 4353, 7693, 19, 2862, 13, 805, 34, 805, 17, 5176, 34, 327, 19, 1703, 14, 204, 268, 902, 31, 204, 305, 314, 5028, 1472, 17, 4353, 273, 824, 348, 490, 204, 305, 1779, 289, 958, 19, 805, 465, 283, 12, 36, 4329, 19044, 68, 22, 34, 22, 12, 204, 305, 4353, 7693, 19, 2862, 13, 805, 34, 805, 17, 5176, 34, 327, 19, 1703, 14, 204, 204, 264, 436, 1967, 68, 2225, 68, 765, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 421, 31, 204, 268, 320, 204, 268, 7483, 275, 542, 302, 6214, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1472, 204, 822, 268, 475, 31, 204, 305, 421, 31, 334, 542, 302, 6214, 204, 268, 320, 204, 268, 314, 1986, 275, 1472, 1040, 204, 268, 1472, 68, 765, 289, 958, 19, 8022, 32606, 2952, 551, 37, 676, 1022, 24566, 18, 24798, 18, 8806, 1237, 13929, 335, 20, 612, 20, 70, 20, 7630, 20, 492, 24098, 5184, 374, 204, 822, 268, 397, 1472, 68, 765, 31, 204, 305, 314, 455, 275, 1472, 1040, 204, 305, 407, 421, 13, 2225, 68, 765, 3327, 23, 694, 204, 268, 407, 443, 204, 204, 264, 436, 2252, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 7693, 19, 2862, 31, 204, 268, 320, 204, 268, 9246, 275, 958, 329, 15943, 275, 1184, 5448, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1472, 204, 822, 268, 9112, 31, 204, 305, 7693, 19, 2862, 31, 332, 824, 348, 848, 1184, 204, 268, 320, 204, 268, 314, 778, 397, 275, 1472, 869, 2696, 204, 268, 397, 508, 958, 19, 8022, 32606, 77, 22, 3930, 505, 1293, 204, 305, 314, 828, 508, 17, 4353, 273, 824, 348, 275, 1729, 1472, 204, 305, 4353, 7693, 19, 2862, 13, 805, 34, 1935, 19, 805, 17, 46678, 68, 2741, 34, 1021, 14, 204, 204, 268, 314, 1986, 275, 2851, 588, 204, 268, 2851, 68, 417, 289, 958, 19, 8022, 32606, 77, 22, 20, 492, 24098, 505, 374, 204, 822, 268, 314, 1986, 275, 1184, 5448, 204, 268, 1184, 68, 3968, 289, 958, 19, 8022, 32606, 2952, 551, 37, 481, 18, 7158, 1022, 1996, 18, 937, 38072, 2952, 7771, 676, 1022, 1849, 18, 3371, 18, 15290, 13929, 70, 30336, 9919, 3930, 5184, 374, 204, 204, 268, 314, 7000, 273, 824, 348, 848, 1184, 204, 268, 348, 1779, 292, 1184, 68, 3968, 31, 204, 305, 4353, 7693, 19, 2862, 13, 204, 485, 1779, 833, 3189, 1963, 4537, 19, 34167, 6493, 19, 1771, 12, 465, 1779, 17, 716, 485, 30482, 68, 2251, 34, 873, 13, 3924, 68, 417, 34, 3924, 68, 417, 659, 716, 485, 5176, 34, 327, 19, 1703, 68, 1271, 204, 305, 1179, 204, 204, 264, 436, 2252, 68, 1271, 13, 327, 17, 958, 31, 7693, 19, 2628, 17, 2851, 68, 417, 31, 394, 14, 393, 25182, 6493, 56, 7706, 4307, 31, 204, 268, 320, 204, 268, 9246, 275, 1184, 958, 329, 15943, 275, 1184, 424, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 305, 2851, 68, 417, 322, 325, 330, 334, 2851, 588, 204, 822, 268, 9112, 31, 204, 305, 25182, 6493, 56, 7706, 4307, 31, 334, 1184, 424, 204, 268, 320, 204, 268, 314, 666, 273, 717, 1184, 204, 268, 1184, 289, 25182, 6493, 56, 7706, 4307, 374, 204, 822, 268, 314, 1986, 275, 667, 2851, 204, 268, 1184, 28357, 16423, 68, 34065, 68, 839, 289, 370, 19, 5184, 68, 660, 68, 3924, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 1184, 588, 204, 268, 1184, 28357, 3344, 68, 839, 289, 370, 19, 5184, 68, 1271, 68, 417, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 2342, 204, 268, 1184, 28357, 25809, 68, 839, 289, 370, 19, 5184, 68, 2749, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 752, 1274, 204, 268, 1184, 28357, 8440, 68, 839, 289, 370, 19, 5184, 68, 935, 68, 805, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 752, 5448, 204, 268, 1184, 28357, 31649, 68, 839, 289, 370, 19, 5184, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 935, 68, 3968, 13, 1935, 14, 204, 822, 268, 314, 1986, 275, 1274, 204, 268, 1184, 28357, 3778, 68, 839, 289, 958, 19, 805, 204, 204, 268, 314, 1986, 275, 11138, 329, 6042, 204, 268, 11138, 289, 370, 19, 5184, 68, 35286, 13, 1935, 14, 204, 822, 268, 314, 7000, 437, 1184, 348, 848, 6018, 204, 268, 348, 6018, 292, 11138, 31, 204, 305, 1184, 28357, 31055, 68, 839, 289, 6018, 736, 31055, 4976, 11372, 839, 204, 305, 1184, 28357, 32098, 13606, 2214, 68, 839, 289, 370, 19, 5184, 68, 7406, 13, 1935, 17, 6018, 14, 204, 305, 4353, 1184, 204, 204, 264, 436, 1967, 68, 660, 68, 3924, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 667, 2851, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 667, 2851, 204, 268, 320, 204, 268, 314, 1986, 275, 2851, 832, 204, 268, 2851, 68, 546, 289, 958, 19, 8022, 32606, 2952, 551, 37, 676, 1022, 30203, 35622, 18, 1271, 13929, 70, 20, 7630, 20, 492, 24098, 5184, 374, 204, 822, 268, 397, 1245, 13, 3924, 68, 546, 14, 1323, 435, 31, 204, 305, 314, 3182, 275, 1043, 970, 1842, 204, 305, 2851, 68, 546, 19, 3377, 13, 21, 14, 204, 305, 2851, 68, 546, 19, 3377, 13, 21, 14, 204, 305, 314, 455, 275, 2851, 832, 204, 305, 407, 28365, 2625, 1541, 13, 3924, 68, 546, 14, 204, 268, 314, 455, 275, 2851, 832, 204, 268, 407, 28365, 2625, 1541, 13, 3924, 68, 546, 14, 204, 204, 264, 436, 1967, 68, 1271, 68, 417, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 1184, 588, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 1184, 588, 204, 268, 320, 204, 268, 314, 1986, 275, 1184, 588, 204, 268, 407, 958, 19, 8022, 32606, 77, 22, 20, 492, 24098, 505, 1528, 2892, 374, 204, 204, 264, 436, 1967, 68, 2749, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 1184, 2342, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 1184, 2342, 204, 268, 320, 204, 268, 314, 1986, 275, 2342, 204, 268, 2342, 289, 5607, 204, 268, 10507, 68, 85, 289, 958, 19, 8022, 32606, 2952, 551, 37, 676, 1022, 1271, 18, 1270, 18, 3071, 582, 10568, 13929, 2952, 64, 22, 8098, 85, 20, 492, 24098, 5184, 374, 204, 822, 268, 348, 284, 292, 10507, 68, 85, 31, 204, 305, 397, 284, 31, 204, 485, 284, 289, 284, 19, 2892, 7708, 83, 534, 204, 485, 284, 289, 284, 19, 2892, 7708, 89, 534, 204, 485, 284, 289, 284, 19, 2892, 7708, 87, 534, 204, 485, 2342, 1412, 379, 379, 465, 284, 204, 268, 314, 455, 275, 2342, 204, 268, 407, 2342, 204, 204, 264, 436, 1967, 68, 935, 68, 805, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 752, 1274, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 752, 1274, 204, 268, 320, 204, 268, 314, 1986, 275, 752, 5448, 204, 268, 2388, 289, 958, 19, 8022, 32606, 335, 551, 37, 676, 1022, 39140, 1351, 18, 5365, 36260, 367, 39140, 13929, 612, 20, 3371, 30336, 6422, 3930, 5184, 374, 204, 822, 268, 397, 2388, 31, 204, 305, 314, 455, 275, 1043, 752, 1274, 204, 305, 407, 370, 19, 1616, 68, 935, 68, 805, 13, 2936, 64, 21, 694, 204, 268, 314, 455, 437, 1392, 782, 204, 268, 407, 5607, 204, 204, 264, 436, 1967, 68, 935, 68, 3968, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 458, 31, 204, 268, 320, 204, 268, 7483, 275, 752, 5448, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 458, 31, 334, 752, 5448, 204, 268, 320, 204, 268, 314, 1986, 275, 752, 5448, 204, 268, 2388, 289, 958, 19, 8022, 32606, 335, 551, 37, 676, 1022, 39140, 1351, 18, 5365, 36260, 367, 39140, 13929, 612, 20, 3371, 30336, 6422, 3930, 5184, 374, 204, 822, 268, 397, 2388, 31, 204, 305, 314, 455, 275, 752, 5448, 204, 305, 407, 551, 327, 19, 1616, 68, 935, 68, 805, 13, 935, 14, 348, 752, 292, 2388, 66, 204, 268, 314, 455, 437, 1392, 458, 204, 268, 407, 1306, 204, 204, 264, 436, 1352, 68, 935, 68, 805, 13, 327, 17, 1779, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 9506, 275, 752, 1274, 19, 204, 822, 268, 457, 31, 204, 305, 1779, 322, 325, 330, 334, 752, 1274, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 4050, 752, 1274, 204, 268, 320, 204, 268, 314, 3736, 275, 1274, 204, 268, 3404, 68, 805, 289, 1779, 19, 1590, 12394, 204, 822, 268, 397, 1245, 13, 1590, 68, 805, 14, 1323, 720, 31, 204, 305, 314, 3182, 275, 4986, 329, 17555, 1842, 204, 305, 6924, 3404, 68, 805, 64, 23, 66, 204, 305, 6924, 3404, 68, 805, 64, 25, 66, 204, 268, 314, 1359, 275, 1043, 1103, 311, 275, 1034, 1274, 204, 268, 3404, 68, 805, 64, 21, 66, 289, 379, 3189, 1963, 4537, 19, 34167, 6493, 19, 1771, 12, 204, 268, 314, 455, 275, 4050, 1274, 204, 268, 407, 5014, 2625, 1541, 13, 1590, 68, 805, 14, 204, 204, 264, 436, 1967, 68, 35286, 13, 327, 17, 958, 31, 7693, 19, 2628, 14, 393, 458, 31, 204, 268, 320, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 7483, 275, 11138, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 822, 268, 475, 31, 204, 305, 458, 31, 334, 11138, 204, 268, 320, 204, 268, 314, 1986, 275, 3467, 204, 268, 3467, 289, 958, 19, 8022, 32606, 2952, 551, 37, 676, 1022, 1271, 18, 1270, 18, 3071, 18, 937, 13929, 5154, 7771, 932, 1022, 492, 20, 26594, 1339, 3930, 505, 374, 204, 822, 268, 397, 3467, 31, 204, 305, 314, 1752, 275, 1012, 329, 1136, 3265, 302, 275, 11138, 204, 305, 300, 289, 3467, 19, 2269, 611, 1957, 13346, 19, 13824, 19, 35286, 534, 204, 305, 397, 300, 1323, 500, 31, 204, 485, 284, 289, 3467, 19, 2269, 611, 3734, 1937, 30742, 204, 485, 314, 1986, 275, 11138, 204, 485, 11138, 289, 3467, 64, 83, 465, 4662, 31, 85, 465, 571, 66, 204, 485, 314, 4546, 275, 2875, 14257, 440, 6246, 14257, 204, 485, 11138, 289, 11138, 19, 3834, 3273, 28142, 7810, 32796, 204, 485, 810, 31, 204, 895, 314, 1385, 275, 11138, 448, 2084, 204, 895, 407, 1875, 19, 5569, 13, 35286, 26459, 14679, 9567, 839, 204, 485, 827, 1319, 448, 318, 31, 204, 895, 314, 1198, 275, 908, 204, 895, 456, 13, 74, 14, 204, 268, 314, 455, 437, 1392, 458, 204, 268, 407, 1306, 204, 204, 264, 436, 1967, 68, 7406, 13, 327, 17, 958, 31, 7693, 19, 2628, 17, 6018, 31, 1135, 14, 393, 394, 31, 204, 268, 320, 204, 268, 7483, 275, 4163, 497, 275, 958, 19, 204, 822, 268, 457, 31, 204, 305, 958, 322, 14569, 19, 2628, 330, 334, 958, 497, 275, 1184, 1472, 204, 305, 6018, 322, 873, 330, 334, 6018, 204, 822, 268, 475, 31, 204, 305, 394, 31, 334, 4163, 204, 268, 320, 204, 268, 314, 977, 275, 4163, 204, 268, 4163, 289, 5607, 204, 822, 268, 314, 1986, 275, 2037, 3564, 204, 268, 15582, 289, 6018, 19, 505, 611, 35226, 68, 41337, 31509, 534, 204, 822, 268, 348, 284, 292, 15582, 31, 204, 305, 314, 1986, 275, 588, 329, 700, 204, 305, 588, 289, 284, 19, 505, 611, 3344, 534, 204, 305, 700, 289, 284, 19, 505, 611, 11372, 534, 204, 305, 314, 5230, 275, 3929, 311, 275, 4163, 204, 305, 4163, 1412, 28365, 2625, 1541, 8031, 146, 104, 3852, 14723, 9201, 12848, 26611, 12255, 4374, 29568, 491, 588, 17, 394, 13, 876, 7971, 465, 7810, 83, 12, 204, 268, 314, 455, 275, 4163, 204, 268, 407, 4163, 19, 2892, 7708, 83, 534, 204, 0, 531, 40405, 23, 19, 5171, 36748, 532, 1301, 36748, 7073, 17, 1301, 36748, 596, 204, 204, 461, 838, 68, 2819, 68, 2602, 13, 2819, 68, 417, 31, 394, 14, 393, 1301, 36748, 7073, 1152, 443, 31, 204, 264, 320, 204, 264, 22548, 273, 1727, 311, 273, 11124, 1104, 19, 204, 204, 264, 457, 31, 204, 268, 1104, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1301, 36748, 7073, 1152, 443, 31, 334, 1104, 1727, 726, 397, 2707, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 1104, 1727, 726, 204, 264, 1104, 68, 2602, 289, 1301, 36748, 7073, 19, 826, 7073, 499, 54, 5811, 10909, 431, 204, 615, 264, 314, 1359, 275, 1104, 588, 204, 264, 1104, 68, 2602, 19, 574, 7073, 2687, 13, 2819, 68, 417, 14, 204, 615, 264, 810, 31, 204, 268, 314, 3289, 311, 1451, 275, 1104, 1727, 204, 268, 397, 508, 1104, 68, 2602, 19, 3664, 1293, 204, 305, 314, 828, 275, 1727, 4737, 17, 980, 437, 2710, 440, 275, 908, 943, 204, 305, 980, 1319, 13, 75, 7, 3504, 311, 1451, 1104, 1727, 31, 463, 2819, 68, 2602, 19, 2391, 596, 1528, 492, 8050, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1336, 1882, 1727, 20577, 204, 268, 456, 13, 75, 7, 596, 4141, 1104, 1727, 31, 463, 74, 743, 204, 268, 407, 443, 204, 615, 264, 314, 828, 275, 1727, 353, 2707, 17, 407, 275, 1104, 1727, 726, 204, 264, 407, 1104, 68, 2602, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1165, 1265, 31, 204, 264, 1104, 68, 417, 289, 388, 48945, 3067, 19, 9853, 7, 204, 264, 1104, 68, 2602, 289, 838, 68, 2819, 68, 2602, 13, 2819, 68, 417, 14, 204, 615, 264, 397, 1104, 68, 2602, 31, 204, 268, 456, 13, 75, 7, 7073, 1727, 311, 3318, 2819, 68, 417, 2867, 7634, 4073, 431, 204, 264, 902, 31, 204, 268, 456, 13, 75, 7, 3504, 311, 7087, 1104, 1727, 311, 3318, 2819, 68, 417, 15049, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 4947, 1759, 437, 4923, 35118, 36, 204, 204, 673, 2036, 31, 382, 3315, 13815, 17, 292, 808, 1322, 17, 496, 275, 690, 45673, 1873, 12511, 275, 14748, 302, 273, 1277, 34140, 17, 508, 496, 275, 3702, 45673, 1873, 6, 716, 204, 31676, 273, 2468, 3179, 1277, 17, 20095, 3702, 710, 32957, 1818, 329, 18795, 1283, 332, 329, 565, 302, 275, 1277, 17, 31408, 4627, 572, 17219, 273, 3133, 302, 931, 12056, 565, 19, 9419, 2249, 451, 20095, 572, 2284, 275, 6988, 329, 572, 3303, 3001, 275, 3133, 12056, 565, 448, 720, 19, 3682, 7353, 336, 1873, 311, 4315, 275, 2233, 19, 4222, 17, 2969, 7353, 336, 1873, 311, 4315, 275, 2233, 17, 275, 1277, 302, 2468, 3912, 353, 3848, 275, 1729, 329, 6202, 42413, 17, 490, 353, 3324, 19, 204, 204, 3103, 94, 31, 2935, 872, 529, 8205, 353, 13492, 1759, 329, 275, 2233, 302, 690, 3324, 17, 630, 275, 15667, 302, 275, 2969, 302, 3702, 3303, 2545, 1554, 19, 2935, 382, 3315, 8205, 353, 13492, 275, 2969, 302, 3702, 329, 1759, 448, 3454, 17, 329, 12077, 275, 2233, 302, 690, 448, 1554, 17, 292, 6488, 275, 7283, 2501, 311, 496, 928, 353, 12308, 11258, 19, 204, 204, 673, 2036, 31, 334, 2233, 302, 690, 618, 2964, 444, 273, 1554, 17, 10080, 1877, 500, 353, 3511, 17, 1101, 18082, 382, 3126, 1214, 2013, 329, 2075, 872, 529, 9221, 311, 770, 19, 3665, 2549, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 770, 496, 397, 872, 2652, 275, 1136, 1085, 311, 17, 329, 12077, 275, 2233, 302, 13348, 448, 1554, 19, 204, 204, 44389, 865, 21911, 3065, 874, 1742, 571, 521, 3420, 12471, 496, 874, 7950, 275, 39342, 34140, 1101, 275, 1051, 382, 2090, 2765, 353, 275, 2474, 14998, 18216, 4858, 19, 2474, 14998, 26400, 496, 529, 21790, 1330, 630, 3022, 1856, 5257, 275, 798, 302, 388, 5454, 29650, 7, 521, 10244, 43054, 1330, 18140, 10501, 630, 275, 2969, 302, 3702, 19, 204, 204, 673, 2036, 31, 334, 1844, 353, 17, 1169, 3825, 1415, 17356, 10080, 1465, 2955, 17, 4815, 329, 2969, 17, 17356, 3060, 2590, 490, 353, 13337, 348, 437, 2828, 16419, 2665, 1277, 311, 7528, 3913, 311, 5914, 19, 332, 3277, 6183, 302, 273, 2147, 16530, 299, 273, 2147, 5913, 451, 5566, 19, 1765, 275, 18767, 311, 22728, 278, 1283, 970, 12584, 17, 1051, 292, 16530, 17, 4260, 275, 16530, 299, 2147, 869, 311, 32076, 329, 275, 16530, 336, 2147, 12946, 4533, 521, 275, 16530, 336, 2147, 2080, 311, 27862, 19, 204, 204, 3103, 94, 31, 4128, 8965, 1340, 479, 3237, 36, 27692, 299, 292, 6832, 496, 275, 3702, 13978, 275, 8770, 12769, 24448, 1405, 3332, 275, 28342, 5953, 2666, 2518, 2545, 9140, 348, 28617, 3758, 2152, 828, 1051, 1466, 311, 2506, 496, 275, 3702, 292, 275, 28342, 302, 275, 8770, 5054, 4858, 867, 16390, 28617, 3758, 3913, 311, 273, 379, 6530, 270, 12, 14193, 379, 834, 491, 6216, 1194, 273, 379, 6530, 270, 12, 15001, 2152, 1662, 1910, 16169, 1784, 275, 2969, 302, 3702, 874, 1742, 21384, 560, 1330, 35495, 275, 379, 1520, 6028, 12, 794, 18, 12702, 336, 1759, 302, 275, 28342, 36, 204, 204, 3027, 291, 2837, 419, 73, 31, 334, 3536, 18, 5906, 3772, 281, 271, 353, 7784, 311, 273, 3567, 275, 11492, 302, 275, 1029, 560, 273, 2479, 302, 5953, 2518, 275, 19359, 11310, 23363, 301, 440, 5398, 19, 3065, 353, 1236, 690, 7654, 8033, 17, 2842, 273, 11492, 302, 273, 4628, 302, 273, 13268, 19, 204, 204, 3103, 94, 31, 382, 3315, 7051, 3060, 9136, 496, 275, 8770, 5054, 4858, 353, 508, 273, 690, 18, 6070, 4858, 19, 3355, 17, 1273, 18, 1826, 275, 2969, 302, 3702, 353, 8033, 17, 329, 31086, 2404, 275, 2969, 302, 3702, 353, 3324, 17, 273, 690, 7857, 618, 444, 8744, 2152, 334, 28342, 529, 17870, 311, 874, 41199, 560, 273, 1759, 19, 382, 12119, 12925, 6430, 496, 275, 4368, 382, 3315, 7595, 348, 618, 444, 8744, 560, 31, 5209, 808, 16248, 1759, 311, 275, 1759, 302, 28630, 11777, 17, 8631, 808, 717, 1759, 560, 275, 2969, 302, 3702, 17, 329, 1675, 8631, 28630, 11777, 560, 275, 2969, 302, 3702, 289, 720, 19, 5091, 19, 31889, 808, 4368, 302, 720, 19, 5091, 497, 275, 722, 302, 275, 1043, 4183, 1856, 5190, 275, 1690, 302, 690, 560, 928, 275, 14193, 379, 834, 12, 867, 14276, 19, 204, 204, 2866, 266, 23, 39, 31, 334, 5641, 35805, 32681, 500, 19, 2985, 88, 19, 334, 1759, 1283, 275, 435, 4858, 9400, 353, 6562, 23, 11777, 19, 25511, 437, 23363, 14288, 17, 275, 11310, 353, 3404, 329, 16913, 1698, 719, 20, 2974, 848, 9739, 23691, 19, 204, 204, 3103, 94, 31, 334, 4368, 382, 1869, 353, 275, 722, 302, 275, 4183, 496, 382, 13037, 17, 928, 292, 3702, 302, 275, 1483, 872, 874, 800, 618, 3303, 444, 31, 28630, 11777, 9729, 16248, 1759, 302, 34140, 17, 6167, 560, 2969, 302, 3702, 289, 17158, 14, 322, 2301, 3783, 6506, 2950, 2906, 808, 1581, 789, 28630, 11777, 6167, 560, 2969, 302, 3702, 289, 720, 19, 5091, 1015, 19, 17158, 14, 13576, 720, 19, 5091, 1015, 289, 17158, 14, 11983, 560, 5953, 289, 17158, 14, 204, 204, 7108, 31, 334, 12081, 869, 1742, 19545, 311, 3142, 8557, 3576, 329, 1895, 490, 9509, 311, 1696, 19, 5860, 9347, 874, 1742, 6571, 311, 6024, 20040, 19, 0, 647, 6632, 24, 204, 204, 8, 968, 273, 955, 311, 2304, 18153, 10207, 311, 47716, 3003, 204, 13712, 9858, 51, 68, 14001, 289, 463, 204, 264, 322, 21, 17, 1916, 19, 26, 330, 368, 17, 204, 264, 322, 2132, 19, 26, 17, 2019, 330, 435, 17, 204, 264, 322, 1511, 17, 2468, 330, 571, 17, 204, 264, 322, 2188, 17, 818, 611, 3643, 25843, 681, 204, 98, 204, 204, 461, 949, 68, 2141, 31318, 68, 932, 13, 25849, 31, 818, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 47716, 1187, 1609, 523, 275, 575, 677, 18153, 19, 204, 204, 264, 457, 31, 204, 268, 29330, 322, 996, 330, 334, 575, 677, 18153, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 47716, 1187, 322, 22, 17, 435, 17, 571, 17, 521, 681, 789, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 18153, 10207, 329, 407, 275, 3310, 47716, 1187, 204, 264, 348, 322, 3006, 17, 3482, 659, 47716, 68, 932, 292, 29411, 9858, 51, 68, 14001, 19, 1996, 1293, 204, 268, 397, 3124, 2186, 29330, 962, 3482, 31, 204, 305, 407, 47716, 68, 932, 204, 204, 461, 838, 68, 816, 68, 2141, 31318, 13, 2574, 31, 394, 17, 29330, 31, 818, 17, 47716, 68, 932, 31, 421, 17, 1863, 68, 417, 31, 394, 289, 388, 20850, 2819, 19, 1479, 431, 393, 443, 31, 204, 264, 320, 204, 264, 666, 273, 575, 47716, 292, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 268, 2143, 322, 325, 330, 334, 575, 677, 2143, 19, 204, 268, 29330, 322, 996, 330, 334, 575, 677, 18153, 19, 204, 268, 47716, 68, 932, 322, 339, 330, 334, 47716, 1187, 322, 22, 17, 435, 17, 571, 17, 521, 681, 789, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 322, 2305, 31, 388, 20850, 2819, 19, 1479, 5561, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6370, 311, 275, 1104, 329, 838, 273, 3370, 204, 268, 440, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 314, 666, 275, 575, 2141, 31318, 1435, 397, 490, 5409, 2964, 1337, 204, 305, 3370, 19, 4118, 18585, 204, 485, 16254, 12409, 13111, 7845, 15731, 575, 2141, 31318, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 322, 204, 895, 2143, 11817, 17, 204, 895, 18153, 35024, 17, 204, 895, 39966, 1357, 15833, 204, 485, 1179, 204, 305, 22963, 204, 305, 314, 6461, 275, 575, 47716, 1025, 275, 1104, 204, 305, 3370, 19, 4118, 18585, 204, 485, 20832, 12377, 575, 2141, 31318, 322, 2574, 17, 18153, 17, 39966, 1357, 14, 204, 485, 12804, 22709, 13173, 38057, 204, 305, 25673, 322, 2574, 17, 29330, 17, 47716, 68, 932, 602, 204, 305, 1863, 19, 4827, 374, 204, 305, 456, 499, 28644, 872, 348, 4073, 4141, 273, 575, 47716, 1164, 12008, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 4141, 575, 47716, 31, 463, 74, 743, 204, 204, 461, 4032, 68, 2141, 31318, 13, 2141, 31318, 68, 932, 31, 421, 17, 1863, 68, 417, 31, 394, 289, 388, 20850, 2819, 19, 1479, 431, 393, 443, 31, 204, 264, 320, 204, 264, 6117, 273, 47716, 497, 275, 1104, 560, 1163, 1187, 19, 204, 204, 264, 457, 31, 204, 268, 47716, 68, 932, 322, 339, 330, 334, 47716, 1187, 322, 22, 17, 435, 17, 571, 17, 521, 681, 789, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 322, 2305, 31, 388, 20850, 2819, 19, 1479, 5561, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6370, 311, 275, 1104, 329, 838, 273, 3370, 204, 268, 440, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 314, 666, 275, 39966, 1357, 1435, 397, 490, 5409, 2964, 1337, 204, 305, 3370, 19, 4118, 18585, 204, 485, 16254, 12409, 13111, 7845, 15731, 39966, 1357, 322, 204, 895, 39966, 1357, 15833, 204, 485, 1179, 204, 305, 22963, 204, 305, 314, 6117, 275, 47716, 497, 275, 1104, 204, 305, 3370, 19, 4118, 18585, 204, 485, 21669, 7281, 39966, 1357, 204, 485, 8888, 39966, 1357, 289, 5478, 204, 305, 25673, 322, 2141, 31318, 68, 932, 11451, 204, 305, 1863, 19, 4827, 374, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 12629, 47716, 31, 463, 74, 743, 204, 204, 461, 2013, 68, 2141, 449, 624, 13, 1479, 68, 417, 31, 394, 289, 388, 20850, 2819, 19, 1479, 431, 393, 443, 31, 204, 264, 320, 204, 264, 9845, 830, 1235, 449, 624, 292, 275, 1104, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 322, 2305, 31, 388, 20850, 2819, 19, 1479, 5561, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 6370, 311, 275, 1104, 329, 838, 273, 3370, 204, 268, 440, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 448, 1863, 31, 204, 305, 3370, 289, 1863, 19, 4322, 374, 204, 305, 314, 666, 275, 39966, 1357, 1435, 397, 490, 5409, 2964, 1337, 204, 305, 3370, 19, 4118, 18585, 204, 485, 16254, 12409, 13111, 7845, 15731, 39966, 1357, 322, 204, 895, 39966, 1357, 15833, 204, 485, 1179, 204, 305, 22963, 204, 305, 314, 4491, 830, 1235, 449, 624, 497, 275, 1104, 204, 305, 3370, 19, 4118, 18585, 204, 485, 15754, 540, 7281, 39966, 1357, 204, 305, 22963, 204, 305, 1235, 449, 624, 289, 3370, 19, 13208, 374, 204, 305, 397, 1235, 449, 624, 31, 204, 485, 348, 47716, 292, 1235, 449, 624, 31, 204, 895, 456, 3273, 83, 8516, 22743, 2810, 204, 895, 348, 2344, 292, 47716, 31, 204, 2058, 456, 13, 2124, 17, 1136, 833, 6947, 204, 895, 456, 374, 204, 305, 902, 31, 204, 485, 456, 499, 3882, 29411, 9858, 51, 29392, 1193, 431, 204, 264, 827, 6632, 24, 19, 596, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 24755, 1235, 449, 624, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 1335, 959, 31, 204, 268, 456, 499, 22, 19, 666, 575, 47716, 431, 204, 268, 456, 499, 23, 19, 6117, 47716, 431, 204, 268, 456, 499, 24, 19, 9845, 1235, 449, 624, 431, 204, 268, 456, 499, 25, 19, 15655, 431, 204, 268, 3508, 289, 537, 499, 2101, 1214, 3508, 31, 2810, 204, 268, 397, 3508, 564, 388, 22, 559, 204, 305, 2143, 289, 537, 499, 2101, 2143, 31, 2810, 204, 305, 29330, 289, 818, 13, 768, 499, 2101, 18153, 31, 4091, 204, 305, 47716, 68, 932, 289, 949, 68, 2141, 31318, 68, 932, 13, 25849, 14, 204, 305, 838, 68, 816, 68, 2141, 31318, 13, 2574, 17, 29330, 17, 47716, 68, 932, 14, 204, 268, 1677, 3508, 564, 388, 23, 559, 204, 305, 47716, 68, 932, 289, 421, 13, 768, 499, 2101, 47716, 1187, 31, 4091, 204, 305, 4032, 68, 2141, 31318, 13, 2141, 31318, 68, 932, 14, 204, 268, 1677, 3508, 564, 388, 24, 559, 204, 305, 2013, 68, 2141, 449, 624, 374, 204, 268, 1677, 3508, 564, 388, 25, 559, 204, 305, 2280, 204, 268, 902, 31, 204, 305, 456, 499, 1962, 3508, 19, 2982, 810, 2528, 1280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 1917, 1068, 1583, 508, 918, 273, 2824, 2821, 1844, 311, 444, 9900, 19, 1547, 6644, 311, 444, 273, 1472, 497, 275, 16091, 20643, 302, 11143, 24080, 322, 36471, 14, 22397, 273, 4539, 1767, 17, 332, 16613, 26, 5639, 17, 329, 9530, 1483, 1465, 490, 17, 2864, 1163, 4790, 17, 6016, 17, 329, 7369, 311, 904, 6161, 19, 828, 872, 874, 273, 2824, 2821, 1844, 872, 10497, 2090, 1340, 440, 17, 9626, 1308, 275, 3695, 17, 329, 382, 6356, 444, 10048, 311, 9535, 872, 1660, 560, 1660, 19, 0, 647, 1875, 204, 531, 1804, 532, 1804, 204, 531, 1498, 532, 783, 17, 1061, 204, 204, 676, 35813, 31, 204, 264, 320, 5272, 273, 14631, 440, 1163, 4163, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 2344, 31, 394, 17, 1012, 68, 834, 31, 394, 17, 1136, 68, 834, 31, 394, 17, 2755, 31, 421, 330, 204, 268, 370, 19, 2124, 289, 2344, 204, 268, 370, 19, 1530, 68, 834, 289, 1012, 68, 834, 204, 268, 370, 19, 409, 68, 834, 289, 1136, 68, 834, 204, 268, 370, 19, 6772, 289, 2755, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 676, 471, 21241, 3368, 31, 204, 264, 320, 204, 264, 332, 1545, 348, 17322, 440, 275, 318, 21241, 5885, 19, 204, 204, 264, 1547, 3629, 2986, 311, 3752, 468, 1059, 1483, 329, 35663, 17, 3120, 6981, 17, 329, 456, 275, 1563, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 1865, 275, 1545, 440, 1392, 40630, 348, 468, 25153, 329, 35663, 19, 204, 268, 320, 204, 268, 370, 19, 13820, 88, 68, 4800, 289, 1306, 204, 268, 370, 19, 36457, 68, 4800, 289, 2087, 204, 204, 264, 436, 636, 68, 13820, 88, 13, 327, 14, 393, 783, 64, 1665, 744, 204, 268, 320, 204, 268, 11244, 468, 1059, 1483, 497, 275, 318, 21241, 5885, 329, 40630, 490, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 5239, 1174, 468, 1059, 1483, 19, 204, 268, 320, 204, 268, 314, 778, 397, 468, 25153, 529, 2861, 13872, 204, 268, 397, 370, 19, 13820, 88, 68, 4800, 31, 204, 305, 456, 499, 4536, 336, 497, 4407, 431, 204, 305, 407, 370, 19, 13820, 88, 68, 4800, 204, 268, 902, 31, 204, 305, 314, 6579, 468, 25153, 497, 275, 5885, 329, 4407, 1475, 204, 305, 370, 19, 13820, 88, 68, 4800, 289, 370, 806, 6291, 68, 13820, 68, 1270, 374, 204, 305, 456, 499, 35534, 497, 5885, 431, 204, 305, 407, 370, 19, 13820, 88, 68, 4800, 204, 204, 264, 436, 906, 6291, 68, 13820, 68, 1270, 13, 327, 14, 393, 783, 64, 1665, 744, 204, 268, 320, 204, 268, 11244, 468, 1059, 1483, 497, 275, 318, 21241, 5885, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 5239, 1174, 468, 1059, 1483, 19, 204, 268, 320, 204, 268, 314, 4546, 440, 2641, 5581, 204, 268, 314, 1765, 6893, 5356, 17, 407, 1429, 1672, 424, 204, 268, 407, 551, 204, 305, 2832, 359, 559, 368, 17, 388, 417, 559, 388, 55, 1059, 368, 7832, 204, 305, 2832, 359, 559, 435, 17, 388, 417, 559, 388, 55, 1059, 435, 7832, 204, 305, 2832, 359, 559, 571, 17, 388, 417, 559, 388, 55, 1059, 571, 7832, 204, 268, 2437, 204, 204, 264, 436, 636, 68, 36457, 13, 204, 268, 370, 17, 204, 268, 3700, 68, 1915, 31, 783, 64, 339, 648, 204, 268, 3054, 31, 783, 64, 325, 648, 204, 268, 1012, 31, 394, 17, 204, 268, 1136, 31, 394, 17, 204, 268, 1006, 68, 31704, 31, 421, 17, 204, 264, 1179, 393, 783, 64, 43297, 744, 204, 268, 320, 204, 268, 11244, 35663, 497, 275, 318, 21241, 5885, 17, 13456, 6981, 17, 329, 2584, 275, 722, 19, 204, 204, 268, 457, 31, 204, 305, 3700, 68, 1915, 322, 1218, 64, 339, 1037, 332, 458, 302, 3700, 4192, 19, 204, 305, 3054, 322, 1218, 64, 325, 1037, 332, 458, 302, 3054, 311, 2081, 560, 19, 204, 305, 1012, 322, 325, 330, 334, 1012, 690, 311, 2081, 560, 19, 204, 305, 1136, 322, 325, 330, 334, 1136, 690, 311, 2081, 560, 19, 204, 305, 1006, 68, 31704, 322, 339, 330, 334, 2311, 542, 302, 19891, 311, 2081, 560, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 35663, 496, 2216, 275, 6981, 19, 204, 268, 320, 204, 268, 314, 6579, 35663, 497, 275, 4407, 521, 5885, 204, 268, 35663, 289, 370, 806, 505, 68, 36457, 68, 531, 68, 4800, 68, 276, 68, 15697, 13, 14024, 68, 1915, 14, 204, 268, 314, 3291, 6981, 311, 275, 35663, 204, 268, 4932, 68, 36457, 289, 370, 806, 6774, 68, 7484, 13, 36457, 17, 3054, 17, 1012, 17, 1136, 17, 1006, 68, 31704, 14, 204, 268, 407, 4932, 68, 36457, 204, 204, 264, 436, 906, 505, 68, 36457, 68, 531, 68, 4800, 68, 276, 68, 15697, 13, 327, 17, 3700, 68, 1915, 31, 783, 64, 339, 694, 393, 783, 64, 43297, 744, 204, 268, 320, 204, 268, 11244, 35663, 497, 275, 4407, 521, 275, 318, 21241, 5885, 19, 204, 204, 268, 457, 31, 204, 305, 3700, 68, 1915, 322, 1218, 64, 339, 1037, 332, 458, 302, 3700, 4192, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 35663, 19, 204, 268, 320, 204, 268, 35663, 289, 1306, 204, 268, 348, 3700, 68, 359, 292, 3700, 68, 1915, 31, 204, 305, 314, 778, 397, 35663, 529, 2861, 13872, 204, 305, 397, 3700, 68, 359, 292, 370, 19, 36457, 68, 4800, 31, 204, 485, 35663, 19, 6683, 13, 327, 19, 36457, 68, 4800, 64, 14024, 68, 359, 694, 204, 485, 456, 499, 4536, 336, 497, 4407, 431, 204, 305, 902, 31, 204, 485, 314, 6579, 35663, 497, 275, 5885, 329, 4407, 1475, 204, 485, 3700, 68, 36457, 289, 370, 806, 6291, 68, 36457, 13, 14024, 68, 359, 14, 204, 485, 370, 19, 36457, 68, 4800, 64, 14024, 68, 359, 66, 289, 3700, 68, 36457, 204, 485, 35663, 19, 6683, 13, 14024, 68, 36457, 14, 204, 485, 456, 499, 35534, 497, 5885, 431, 204, 268, 407, 35663, 204, 204, 264, 436, 906, 6291, 68, 36457, 13, 327, 17, 3700, 68, 359, 31, 421, 14, 393, 783, 64, 43297, 744, 204, 268, 320, 204, 268, 11244, 35663, 497, 275, 318, 21241, 5885, 19, 204, 204, 268, 457, 31, 204, 305, 3700, 68, 359, 322, 339, 330, 334, 3700, 1222, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 35663, 19, 204, 268, 320, 204, 268, 314, 4546, 440, 2641, 5581, 204, 268, 314, 1765, 6893, 5356, 17, 407, 1429, 1672, 424, 204, 268, 407, 551, 204, 305, 35813, 499, 32281, 528, 388, 1003, 31, 473, 555, 528, 388, 1641, 31, 473, 555, 528, 720, 659, 204, 305, 35813, 499, 38869, 528, 388, 1641, 31, 473, 555, 528, 388, 1258, 31, 473, 7795, 528, 571, 659, 204, 305, 35813, 499, 40344, 528, 388, 1258, 31, 473, 7795, 528, 388, 22, 31, 473, 7795, 528, 681, 659, 204, 268, 2437, 204, 204, 264, 436, 906, 6774, 68, 7484, 13, 204, 268, 370, 17, 204, 268, 35663, 31, 783, 64, 43297, 648, 204, 268, 3054, 31, 783, 64, 325, 648, 204, 268, 1012, 31, 394, 17, 204, 268, 1136, 31, 394, 17, 204, 268, 1006, 68, 31704, 31, 421, 17, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 264, 1179, 393, 783, 64, 43297, 744, 204, 268, 320, 204, 268, 13039, 6981, 311, 275, 35663, 19, 204, 204, 268, 457, 31, 204, 305, 35663, 322, 1218, 64, 43297, 1037, 332, 458, 302, 35663, 19, 204, 305, 3054, 322, 1218, 64, 325, 1037, 332, 458, 302, 3054, 311, 2081, 560, 19, 204, 305, 1012, 322, 325, 330, 334, 1012, 690, 311, 2081, 560, 19, 204, 305, 1136, 322, 325, 330, 334, 1136, 690, 311, 2081, 560, 19, 204, 305, 1006, 68, 31704, 322, 339, 330, 334, 2311, 542, 302, 19891, 311, 2081, 560, 19, 204, 204, 268, 475, 31, 204, 305, 332, 458, 302, 35663, 496, 2216, 275, 6981, 19, 204, 268, 320, 204, 268, 4932, 68, 36457, 289, 35663, 204, 268, 397, 3054, 31, 204, 305, 3054, 289, 551, 2124, 19, 3006, 374, 348, 2344, 292, 3054, 66, 204, 305, 456, 499, 8865, 299, 560, 3054, 431, 204, 305, 4932, 68, 36457, 289, 551, 21634, 348, 14631, 292, 4932, 68, 36457, 397, 14631, 19, 2124, 19, 3006, 374, 292, 3054, 66, 204, 268, 397, 1012, 31, 204, 305, 1012, 68, 834, 289, 1804, 19, 12903, 13, 1530, 17, 13057, 46, 6212, 50, 10, 85, 431, 204, 305, 4932, 68, 36457, 289, 551, 21634, 348, 14631, 292, 4932, 68, 36457, 397, 1804, 19, 12903, 13, 21634, 19, 1530, 68, 834, 17, 13057, 46, 6212, 50, 10, 85, 431, 3721, 1012, 68, 834, 66, 204, 268, 397, 1136, 31, 204, 305, 1136, 68, 834, 289, 1804, 19, 12903, 13, 409, 17, 13057, 46, 6212, 50, 10, 85, 431, 204, 305, 4932, 68, 36457, 289, 551, 21634, 348, 14631, 292, 4932, 68, 36457, 397, 1804, 19, 12903, 13, 21634, 19, 409, 68, 834, 17, 13057, 46, 6212, 50, 10, 85, 431, 2186, 1136, 68, 834, 66, 204, 268, 397, 1006, 68, 31704, 31, 204, 305, 456, 499, 8865, 299, 560, 19891, 431, 204, 305, 4932, 68, 36457, 289, 551, 21634, 348, 14631, 292, 4932, 68, 36457, 397, 14631, 19, 6772, 3721, 1006, 68, 31704, 66, 204, 268, 407, 4932, 68, 36457, 204, 204, 264, 436, 456, 68, 36457, 13, 327, 17, 35663, 31, 783, 64, 43297, 1037, 204, 268, 320, 204, 268, 4060, 275, 35663, 292, 2084, 1883, 19, 204, 204, 268, 457, 31, 204, 305, 35663, 322, 1218, 64, 43297, 1037, 332, 458, 302, 35663, 19, 204, 268, 320, 204, 268, 456, 13, 1775, 19, 7362, 1568, 32478, 2124, 559, 14631, 19, 2124, 17, 388, 1530, 68, 834, 559, 14631, 19, 1530, 68, 834, 17, 388, 409, 68, 834, 559, 14631, 19, 409, 68, 834, 17, 388, 6772, 559, 14631, 19, 6772, 98, 348, 14631, 292, 35663, 648, 8851, 34, 25, 602, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1545, 289, 471, 21241, 3368, 374, 204, 264, 35663, 289, 1545, 19, 505, 68, 36457, 1568, 22, 17, 435, 17, 571, 648, 3134, 1637, 2124, 528, 388, 89, 18478, 2869, 388, 1003, 31, 473, 555, 528, 388, 26, 31, 473, 7795, 528, 435, 14, 204, 264, 1545, 19, 2102, 68, 36457, 13, 36457, 14, 204, 0, 531, 15751, 532, 22599, 204, 204, 8, 968, 3454, 204, 6433, 68, 9926, 289, 463, 204, 264, 379, 654, 608, 597, 379, 23, 491, 204, 264, 379, 1669, 68, 1949, 597, 379, 1845, 1207, 491, 204, 264, 379, 1190, 68, 522, 68, 4588, 597, 379, 7489, 491, 204, 264, 379, 737, 68, 24174, 597, 379, 2051, 491, 204, 264, 379, 14610, 68, 6956, 597, 379, 13971, 491, 204, 264, 379, 768, 68, 6575, 597, 379, 26, 491, 204, 264, 379, 2884, 68, 835, 597, 379, 2177, 491, 204, 264, 379, 7064, 597, 379, 1036, 491, 204, 264, 379, 17229, 597, 379, 21, 19, 4779, 491, 204, 264, 379, 30001, 597, 379, 1021, 12, 204, 98, 204, 204, 461, 636, 68, 816, 68, 768, 13, 1087, 68, 18510, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 763, 575, 537, 348, 1586, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 954, 68, 18510, 322, 873, 330, 1210, 1586, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 2221, 18, 28863, 1586, 1019, 19, 204, 264, 320, 204, 264, 314, 763, 575, 537, 348, 1586, 1019, 204, 264, 954, 68, 1309, 289, 2087, 204, 264, 348, 896, 17, 1540, 68, 876, 292, 954, 68, 18510, 19, 1996, 1293, 204, 268, 397, 896, 564, 379, 30001, 597, 204, 305, 575, 68, 768, 289, 537, 13, 75, 7, 18696, 275, 33357, 6710, 18204, 523, 273, 41785, 521, 508, 36, 322, 94, 20, 83, 17, 1540, 463, 2305, 68, 876, 19, 3006, 40172, 22, 7916, 330, 2810, 521, 1540, 68, 876, 19, 3006, 40172, 22, 66, 204, 305, 954, 68, 1309, 64, 644, 66, 289, 379, 1021, 12, 397, 575, 68, 768, 19, 3006, 374, 564, 379, 94, 12, 902, 379, 1975, 12, 204, 268, 1677, 896, 564, 379, 768, 68, 6575, 12, 329, 954, 68, 1309, 19, 505, 611, 30001, 491, 379, 1021, 534, 564, 379, 1021, 597, 204, 305, 954, 68, 1309, 64, 644, 66, 289, 537, 13, 75, 7, 2101, 275, 13222, 537, 3441, 322, 7022, 1376, 1120, 444, 1283, 296, 34929, 6575, 15, 14610, 3155, 302, 2617, 36770, 1860, 17, 1540, 463, 2305, 68, 876, 23474, 2810, 521, 1540, 68, 876, 204, 268, 1677, 896, 564, 379, 768, 68, 6575, 12, 329, 954, 68, 1309, 19, 505, 611, 30001, 491, 379, 1021, 534, 564, 379, 1975, 597, 204, 305, 954, 68, 1309, 64, 644, 66, 289, 379, 22, 12, 204, 268, 902, 31, 204, 305, 954, 68, 1309, 64, 644, 66, 289, 537, 13, 75, 7, 2101, 275, 463, 644, 19, 3834, 35332, 379, 379, 4150, 322, 2305, 463, 2305, 68, 876, 23474, 2810, 521, 1540, 68, 876, 204, 204, 264, 407, 954, 68, 1309, 204, 204, 461, 838, 68, 1087, 68, 3766, 13, 1087, 68, 1309, 31, 1135, 14, 393, 22599, 31, 204, 264, 320, 204, 264, 666, 273, 1586, 1732, 440, 275, 800, 1019, 19, 204, 204, 264, 457, 31, 204, 268, 954, 68, 1309, 322, 873, 330, 6408, 1019, 19, 204, 204, 264, 475, 31, 204, 268, 22599, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 6408, 1732, 19, 204, 264, 320, 204, 264, 314, 666, 273, 1586, 1732, 204, 264, 1732, 289, 22599, 374, 204, 204, 264, 314, 1255, 45408, 4524, 39, 34204, 4446, 204, 264, 1732, 19, 826, 68, 3769, 611, 29462, 39, 34204, 534, 204, 264, 1732, 736, 29462, 39, 34204, 4976, 15842, 23604, 3538, 839, 289, 954, 68, 1309, 736, 1669, 68, 1949, 839, 204, 264, 1732, 736, 29462, 39, 34204, 4976, 51, 28858, 839, 289, 954, 68, 1309, 736, 1190, 68, 522, 68, 4588, 839, 204, 264, 1732, 736, 29462, 39, 34204, 4976, 9967, 68, 37663, 839, 289, 954, 68, 1309, 736, 737, 68, 24174, 839, 204, 204, 264, 314, 1255, 13222, 4446, 204, 264, 1732, 19, 826, 68, 3769, 611, 19965, 534, 204, 264, 1732, 736, 19965, 4976, 8197, 2097, 3316, 839, 289, 954, 68, 1309, 736, 654, 608, 839, 204, 264, 1732, 736, 19965, 4976, 31175, 3185, 839, 289, 954, 68, 1309, 736, 30001, 839, 204, 264, 1732, 736, 19965, 4976, 20221, 839, 289, 954, 68, 1309, 736, 768, 68, 6575, 839, 204, 264, 1732, 736, 19965, 4976, 10710, 68, 2956, 839, 289, 954, 68, 1309, 736, 2884, 68, 835, 839, 204, 264, 1732, 736, 19965, 4976, 14710, 839, 289, 954, 68, 1309, 736, 7064, 839, 204, 264, 1732, 736, 19965, 4976, 3048, 15694, 839, 289, 954, 68, 1309, 736, 17229, 839, 204, 264, 1732, 736, 19965, 4976, 4688, 36281, 3096, 68, 37607, 839, 289, 954, 68, 1309, 736, 14610, 68, 6956, 839, 204, 204, 264, 407, 1732, 204, 204, 461, 2106, 68, 1087, 68, 553, 13, 3766, 31, 22599, 17, 2049, 31, 394, 289, 379, 1087, 43, 23, 19965, 19, 4120, 534, 393, 443, 31, 204, 264, 320, 204, 264, 3025, 275, 1586, 510, 19, 204, 204, 264, 457, 31, 204, 268, 1732, 322, 17444, 330, 6408, 1732, 19, 204, 268, 2049, 322, 325, 17, 1448, 330, 6408, 510, 588, 19, 1243, 311, 379, 1087, 43, 23, 19965, 19, 4120, 2625, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3025, 275, 1586, 510, 204, 268, 440, 1451, 13, 2029, 17, 379, 92, 534, 448, 16100, 31, 204, 305, 1732, 19, 2206, 13, 14524, 14, 204, 268, 456, 13, 75, 7, 9515, 510, 6467, 4073, 311, 463, 2029, 12443, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 7770, 1586, 510, 31, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 741, 19, 204, 264, 320, 204, 264, 314, 763, 575, 537, 204, 264, 954, 68, 1309, 289, 636, 68, 816, 68, 768, 13, 6433, 68, 9926, 14, 204, 204, 264, 314, 666, 1586, 1732, 204, 264, 1732, 289, 838, 68, 1087, 68, 3766, 13, 1087, 68, 1309, 14, 204, 204, 264, 314, 3025, 1586, 510, 204, 264, 2106, 68, 1087, 68, 553, 13, 3766, 14, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 417, 31, 394, 17, 5212, 835, 31, 421, 289, 3861, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 2306, 510, 292, 12268, 329, 16346, 490, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2306, 510, 19, 204, 268, 5212, 835, 322, 339, 330, 334, 1302, 302, 848, 5212, 19, 1243, 311, 3861, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 15499, 424, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 292, 12268, 311, 4516, 4843, 6705, 204, 264, 2497, 68, 2039, 289, 1246, 19, 976, 68, 2039, 13, 553, 68, 417, 17, 11282, 34, 1021, 17, 5212, 835, 34, 8307, 835, 14, 204, 264, 314, 14364, 830, 12268, 1025, 273, 2875, 3135, 204, 264, 407, 1246, 19, 12007, 1568, 8307, 348, 5212, 292, 2497, 68, 2039, 694, 204, 204, 461, 838, 68, 6124, 68, 1663, 13, 481, 68, 6124, 31, 1246, 19, 1362, 17, 575, 68, 1915, 31, 645, 19, 766, 17, 846, 68, 6782, 68, 359, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 666, 273, 6374, 1525, 497, 275, 6374, 424, 19, 204, 204, 264, 457, 31, 204, 268, 424, 68, 6124, 322, 2600, 19, 1362, 330, 334, 6374, 424, 19, 204, 268, 575, 68, 1915, 322, 1123, 19, 766, 330, 334, 2220, 575, 4192, 19, 204, 268, 846, 68, 6782, 68, 359, 322, 339, 330, 334, 1646, 4092, 1222, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 6374, 1525, 19, 204, 264, 320, 204, 264, 314, 977, 273, 1525, 9492, 440, 7152, 204, 264, 6374, 68, 1663, 289, 645, 19, 4324, 1802, 1796, 13, 816, 68, 1915, 659, 846, 68, 6782, 68, 359, 465, 368, 602, 204, 264, 314, 1861, 1048, 848, 575, 204, 264, 348, 296, 17, 575, 68, 359, 292, 3209, 13, 816, 68, 1915, 330, 204, 268, 314, 763, 275, 575, 677, 10161, 204, 268, 575, 68, 12216, 289, 424, 68, 6124, 64, 481, 68, 6124, 736, 40715, 839, 564, 575, 68, 359, 66, 204, 268, 314, 1861, 1048, 848, 6374, 204, 268, 348, 6915, 1237, 292, 575, 68, 12216, 19, 22091, 1293, 204, 305, 314, 1359, 275, 6374, 292, 275, 1525, 204, 305, 6374, 68, 1663, 64, 78, 17, 1237, 736, 6782, 4729, 11653, 289, 1237, 736, 6124, 839, 204, 264, 407, 6374, 68, 1663, 204, 204, 461, 8060, 68, 1663, 13, 1663, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 8825, 273, 1525, 560, 8631, 848, 1837, 560, 1163, 7757, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 1123, 19, 766, 330, 334, 1525, 311, 8060, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 7570, 1525, 19, 204, 264, 320, 204, 264, 314, 888, 275, 7757, 302, 848, 1837, 204, 264, 25167, 289, 645, 19, 11450, 19, 5915, 13, 1663, 17, 3138, 34, 21, 14, 204, 264, 314, 4546, 2962, 25167, 440, 273, 2637, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 700, 311, 4516, 4854, 560, 2962, 204, 264, 25167, 64, 44905, 564, 500, 66, 289, 368, 74, 18, 1003, 204, 264, 314, 8825, 275, 1525, 204, 264, 407, 1525, 802, 25167, 204, 204, 461, 949, 68, 4531, 13, 6124, 68, 1663, 31, 645, 19, 766, 17, 2745, 68, 12216, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 888, 275, 575, 3680, 560, 7844, 1351, 302, 275, 6374, 1525, 329, 275, 575, 677, 10161, 19, 204, 204, 264, 457, 31, 204, 268, 6374, 68, 1663, 322, 1123, 19, 766, 330, 334, 6374, 1525, 19, 204, 268, 2745, 68, 12216, 322, 1123, 19, 766, 330, 334, 575, 677, 10161, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 575, 3680, 19, 204, 264, 320, 204, 264, 314, 8825, 275, 575, 677, 10161, 204, 264, 2745, 68, 12216, 68, 5915, 289, 2745, 68, 12216, 802, 645, 19, 11450, 19, 5915, 13, 2301, 68, 12216, 14, 204, 264, 314, 888, 275, 575, 3680, 204, 264, 407, 645, 19, 3005, 13, 6124, 68, 1663, 17, 2745, 68, 12216, 68, 5915, 14, 204, 204, 461, 636, 68, 29033, 13, 4531, 31, 645, 19, 766, 17, 6374, 68, 1663, 31, 645, 19, 766, 17, 4092, 68, 11941, 31, 1246, 19, 1362, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 763, 275, 4092, 14815, 1609, 523, 275, 575, 3680, 19, 204, 204, 264, 457, 31, 204, 268, 3680, 322, 1123, 19, 766, 330, 334, 575, 3680, 19, 204, 268, 6374, 68, 1663, 322, 1123, 19, 766, 330, 334, 6374, 1525, 19, 204, 268, 4092, 68, 11941, 322, 2600, 19, 1362, 330, 334, 4092, 10614, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 4092, 14815, 19, 204, 264, 320, 204, 264, 314, 888, 275, 8027, 1283, 275, 575, 3680, 329, 848, 4092, 204, 264, 19073, 289, 645, 19, 3005, 13, 6124, 68, 1663, 19, 57, 17, 3680, 14, 204, 264, 314, 763, 275, 4092, 4192, 329, 10614, 204, 264, 4092, 68, 1915, 289, 4092, 68, 11941, 736, 6782, 4729, 3750, 1309, 204, 264, 4092, 68, 2199, 289, 4092, 68, 11941, 736, 1778, 3750, 1309, 204, 264, 314, 666, 273, 435, 41, 1348, 440, 275, 4092, 4192, 329, 1987, 204, 264, 10338, 289, 645, 19, 643, 1568, 6782, 68, 1915, 17, 4092, 68, 2199, 12670, 57, 204, 264, 314, 4641, 275, 10338, 560, 8027, 204, 264, 2282, 68, 11921, 289, 10338, 64, 1123, 19, 26283, 2422, 35947, 2395, 204, 264, 407, 2282, 68, 11921, 204, 204, 461, 667, 1293, 204, 264, 314, 1385, 275, 6374, 329, 4092, 424, 204, 264, 424, 68, 6124, 289, 1137, 68, 481, 611, 12216, 19, 2039, 534, 204, 264, 424, 68, 6782, 289, 1137, 68, 481, 611, 11921, 19, 2039, 534, 204, 615, 264, 314, 763, 275, 1646, 4092, 1222, 204, 264, 846, 68, 6782, 68, 359, 289, 424, 68, 6782, 736, 6782, 4729, 3750, 1129, 374, 204, 615, 264, 314, 763, 275, 2220, 575, 4192, 204, 264, 575, 68, 1915, 289, 645, 19, 5271, 13, 481, 68, 6124, 736, 40715, 3750, 1309, 14, 204, 615, 264, 314, 666, 275, 6374, 1525, 204, 264, 6374, 68, 1663, 289, 838, 68, 6124, 68, 1663, 13, 481, 68, 6124, 17, 575, 68, 1915, 17, 846, 68, 6782, 68, 359, 14, 204, 615, 264, 314, 8825, 275, 6374, 1525, 204, 264, 6374, 68, 1663, 68, 5915, 289, 8060, 68, 1663, 13, 6124, 68, 1663, 14, 204, 615, 264, 314, 968, 275, 575, 677, 10161, 204, 264, 2745, 68, 12216, 289, 645, 19, 4324, 1802, 1129, 68, 6782, 68, 359, 465, 368, 602, 204, 264, 2745, 68, 12216, 64, 1511, 9769, 66, 289, 720, 226, 314, 2019, 9769, 338, 9260, 204, 264, 2745, 68, 12216, 64, 2177, 66, 289, 681, 226, 314, 4236, 338, 12627, 19914, 5973, 3261, 204, 264, 2745, 68, 12216, 64, 31159, 66, 289, 720, 226, 314, 30168, 338, 17920, 28058, 16605, 204, 264, 2745, 68, 12216, 64, 1003, 5839, 66, 289, 681, 204, 615, 264, 314, 888, 275, 575, 3680, 204, 264, 3680, 289, 949, 68, 4531, 13, 6124, 68, 1663, 68, 5915, 17, 2745, 68, 12216, 14, 204, 615, 264, 314, 8825, 275, 575, 3680, 204, 264, 3680, 68, 5915, 289, 3680, 802, 645, 19, 11450, 19, 5915, 13, 4531, 14, 204, 615, 264, 314, 763, 275, 4092, 10614, 204, 264, 4092, 68, 11941, 289, 424, 68, 6782, 18810, 1778, 491, 379, 6782, 4729, 11653, 204, 615, 264, 314, 763, 275, 4092, 14815, 204, 264, 14815, 289, 636, 68, 29033, 13, 4531, 68, 5915, 17, 6374, 68, 1663, 68, 5915, 17, 4092, 68, 11941, 14, 204, 615, 264, 314, 1198, 275, 1913, 931, 14815, 204, 264, 456, 13, 29033, 2022, 1003, 694, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 12227, 7474, 2174, 1458, 1638, 43008, 25883, 408, 2253, 2780, 26909, 11746, 16095, 2371, 18118, 408, 27306, 2371, 7059, 2968, 1565, 43008, 921, 29284, 25883, 568, 2278, 10732, 27306, 39337, 1111, 12227, 27721, 408, 3878, 5827, 5083, 1456, 13561, 40881, 2638, 921, 18642, 28643, 568, 22079, 6049, 10914, 1456, 7452, 6462, 31264, 9830, 4044, 27443, 1550, 46258, 9830, 27721, 408, 8465, 31264, 11507, 249, 41919, 2657, 3669, 255, 5277, 27306, 2371, 12227, 1002, 36, 37280, 3131, 1926, 2791, 10144, 10734, 1984, 204, 24025, 5381, 1251, 12227, 10491, 17238, 8075, 31264, 11507, 249, 41919, 1603, 27306, 2371, 27721, 31975, 3079, 3178, 1984, 204, 12227, 15272, 31461, 9198, 25883, 7678, 22901, 460, 408, 11448, 23639, 1390, 14726, 37059, 27721, 7678, 31461, 27306, 2371, 7986, 47987, 43008, 460, 25883, 408, 6271, 40318, 15812, 7858, 27721, 43008, 921, 23992, 28162, 1191, 408, 1456, 4264, 27721, 37059, 15823, 1390, 10150, 20513, 6290, 408, 6049, 27721, 10914, 8285, 46258, 9830, 27306, 2371, 7858, 27721, 408, 3865, 1111, 31264, 11507, 249, 41919, 3590, 31264, 9830, 568, 25669, 408, 17238, 16487, 408, 12227, 13427, 26829, 5944, 19595, 11066, 6817, 2114, 15272, 408, 31264, 9830, 2823, 7813, 39313, 408, 9027, 7986, 11934, 2499, 13561, 22960, 5124, 8275, 25883, 460, 15812, 408, 9555, 1002, 20880, 9276, 408, 34118, 40318, 27721, 460, 36823, 1955, 568, 7466, 4485, 27306, 2371, 27721, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 10914, 8915, 12522, 7452, 31264, 11507, 249, 41919, 408, 27306, 2371, 27721, 4485, 942, 10120, 1603, 11768, 20244, 9276, 4770, 2657, 33428, 568, 204, 12227, 15272, 31461, 27306, 2371, 27260, 10705, 8285, 31264, 9830, 27721, 2253, 30259, 2676, 9276, 21331, 31264, 9830, 408, 12227, 4265, 7452, 10120, 1603, 11768, 20244, 9276, 408, 3879, 33903, 5100, 2411, 2336, 5673, 35752, 408, 9141, 10914, 6899, 25316, 568, 20887, 5643, 12227, 13427, 12285, 5522, 10893, 11768, 408, 5017, 28821, 47145, 12054, 27721, 8465, 10344, 408, 2498, 5757, 7360, 26829, 5944, 19595, 460, 11066, 6817, 408, 6271, 9276, 8728, 4485, 32929, 17211, 5170, 568, 9027, 27306, 2371, 27721, 42247, 28212, 1458, 13679, 1886, 15916, 25689, 408, 34343, 10379, 1111, 9276, 7371, 460, 22074, 408, 7466, 23412, 9276, 17413, 854, 6606, 5124, 2781, 28821, 3590, 408, 11516, 10914, 921, 1603, 12227, 15272, 3590, 9276, 12665, 35411, 34392, 18517, 29306, 408, 11012, 4762, 6606, 5124, 2781, 725, 28821, 1227, 12854, 5661, 5768, 10120, 12924, 43525, 7371, 3590, 12253, 10884, 9276, 408, 6663, 4770, 2657, 2498, 23412, 3669, 255, 5277, 27306, 2371, 27721, 568, 4002, 4002, 4002, 16648, 16759, 1984, 24025, 12227, 10491, 1984, 35230, 8065, 12227, 1946, 8312, 20703, 204, 27306, 2371, 12227, 7452, 10120, 1603, 11768, 20244, 2657, 8181, 33215, 9276, 8483, 408, 3038, 12227, 921, 5890, 11796, 43525, 30061, 5890, 408, 2278, 10732, 3730, 921, 9276, 1390, 8181, 2730, 7814, 4413, 14557, 27257, 408, 7335, 2544, 3669, 255, 5277, 27721, 408, 8465, 10914, 9302, 46844, 7335, 9276, 568, 12227, 15272, 921, 30802, 1398, 27721, 8010, 8275, 13630, 2382, 408, 26829, 5944, 19595, 1099, 239, 21555, 4076, 408, 9276, 9065, 1886, 12350, 10272, 408, 44177, 27721, 36823, 408, 8465, 9276, 9065, 1970, 6371, 16553, 1111, 568, 204, 34295, 26268, 1984, 27306, 2371, 21331, 6966, 25883, 460, 12227, 20429, 9302, 7452, 31264, 9830, 20244, 9276, 408, 34104, 17361, 4485, 1603, 11768, 1926, 7225, 408, 9027, 854, 13572, 12840, 9276, 568, 6271, 34104, 9276, 40427, 16097, 13501, 408, 10914, 12976, 2433, 10694, 568, 204, 0, 30039, 275, 16108, 5319, 353, 4240, 1465, 717, 10673, 348, 548, 2115, 267, 2115, 28606, 1133, 292, 275, 14067, 1136, 302, 25176, 18515, 19, 334, 2637, 46041, 353, 1085, 302, 273, 3981, 302, 819, 46410, 35675, 329, 265, 3785, 35675, 496, 529, 14790, 43999, 6539, 311, 43999, 6539, 437, 285, 3350, 292, 12593, 2317, 508, 273, 5348, 6963, 348, 437, 45424, 40180, 19, 3355, 17, 275, 43787, 545, 4009, 497, 548, 2115, 267, 2115, 28606, 1133, 529, 45424, 2317, 490, 353, 25600, 273, 1622, 20839, 292, 275, 4410, 1001, 440, 3232, 488, 47155, 322, 10277, 273, 1622, 365, 290, 990, 789, 35220, 1330, 872, 636, 45424, 30341, 1347, 497, 5464, 8283, 521, 43999, 6539, 437, 285, 3350, 48103, 17, 872, 1519, 311, 636, 2263, 8033, 19, 7054, 353, 2075, 572, 874, 5298, 292, 39062, 1048, 275, 1673, 4542, 2181, 1273, 30341, 1347, 496, 4230, 508, 874, 1742, 448, 45424, 13762, 529, 13972, 4558, 560, 275, 9920, 302, 30611, 7309, 497, 40667, 329, 12855, 19, 3355, 17, 397, 572, 4030, 1465, 548, 2115, 267, 2115, 28606, 1133, 17, 490, 353, 292, 25176, 18515, 17, 1051, 302, 275, 4870, 742, 7777, 292, 7136, 7266, 19, 4087, 17, 497, 1273, 353, 830, 496, 2263, 11311, 36, 204, 673, 3090, 7156, 867, 496, 548, 2115, 267, 2115, 867, 7196, 1882, 275, 1136, 302, 275, 1673, 15232, 2025, 1646, 292, 7136, 7266, 17, 1330, 25176, 18515, 867, 3171, 14314, 476, 19, 8624, 302, 275, 9254, 7792, 2103, 302, 275, 15028, 5269, 5439, 529, 275, 27049, 40922, 1372, 302, 26243, 496, 30239, 275, 1277, 302, 1910, 302, 275, 37857, 18, 416, 18, 13351, 37422, 19, 1058, 1784, 2512, 348, 21128, 302, 2263, 311, 444, 2755, 348, 1428, 272, 1979, 521, 1428, 4871, 84, 5535, 10854, 18532, 1178, 497, 548, 2115, 267, 2115, 19, 3065, 529, 904, 6016, 302, 18727, 2643, 24557, 560, 1605, 2482, 18, 1772, 13028, 2728, 26243, 292, 904, 3576, 302, 15028, 7136, 7266, 2317, 275, 970, 496, 2287, 311, 6832, 529, 472, 89, 19, 16422, 292, 27675, 17, 1273, 872, 618, 3020, 2263, 5183, 33099, 4009, 329, 273, 5054, 18, 3533, 1593, 15111, 523, 275, 265, 3785, 13708, 322, 9968, 5084, 789, 14262, 15182, 2648, 17, 275, 27892, 447, 6860, 1622, 45, 4340, 292, 275, 23557, 1001, 353, 273, 3403, 26810, 46041, 8077, 560, 437, 25263, 1330, 7465, 365, 329, 2263, 9493, 19, 12411, 302, 1605, 529, 34040, 311, 10482, 1330, 1422, 1466, 26243, 292, 6837, 27675, 322, 9798, 874, 3303, 1742, 10741, 440, 2223, 21251, 789, 204, 673, 717, 4960, 292, 13902, 19800, 8385, 33375, 560, 387, 402, 44505, 3772, 520, 19, 322, 14768, 14, 10846, 496, 548, 2115, 267, 2115, 4230, 444, 17465, 1194, 12650, 6183, 19, 334, 1489, 348, 275, 1673, 4801, 630, 548, 2115, 267, 2115, 523, 275, 13884, 7356, 4453, 2643, 10601, 5885, 353, 12351, 2169, 1719, 10355, 17, 754, 1048, 887, 17, 1207, 2181, 8518, 17, 2590, 2614, 273, 690, 1330, 10224, 867, 14314, 476, 19, 3355, 17, 808, 717, 3793, 10846, 496, 548, 2115, 267, 2115, 7196, 273, 2311, 302, 12351, 10015, 311, 435, 17, 2051, 2181, 8518, 17, 5268, 1422, 1784, 444, 3171, 2202, 3776, 2263, 3332, 311, 6626, 1605, 45424, 30341, 1347, 19, 334, 1622, 15150, 2941, 1001, 943, 31, 5508, 31184, 867, 275, 24465, 85, 1157, 348, 13677, 275, 18532, 3735, 17, 5268, 496, 4042, 348, 18532, 1178, 2090, 808, 529, 5508, 3848, 3113, 292, 18358, 10224, 19, 204, 2841, 529, 273, 11502, 302, 3490, 440, 275, 2501, 808, 4240, 353, 2545, 8316, 31, 204, 18, 334, 38898, 353, 496, 4042, 529, 45096, 348, 273, 717, 45424, 40180, 292, 25176, 18515, 19, 3355, 17, 1250, 8720, 685, 1051, 3287, 6285, 31, 7465, 365, 19, 46073, 17, 397, 31184, 23083, 18532, 3735, 17, 1675, 25176, 18515, 618, 3848, 6626, 45424, 30341, 1347, 302, 5464, 8283, 329, 43999, 6539, 437, 285, 3350, 19, 3355, 17, 1422, 529, 1236, 9649, 496, 1169, 717, 7465, 365, 353, 20160, 4789, 548, 2115, 267, 2115, 1629, 3303, 17, 4461, 273, 1622, 1957, 40180, 1001, 273, 5680, 17764, 3198, 19, 204, 18, 334, 10673, 292, 275, 3062, 529, 565, 868, 81, 25122, 18, 1003, 10789, 10673, 2317, 46296, 27277, 41160, 444, 26872, 19, 1547, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 29604, 523, 275, 6733, 496, 273, 11118, 353, 13779, 311, 275, 3776, 302, 275, 6138, 329, 1675, 22251, 35006, 20749, 18497, 619, 1163, 3776, 17, 12511, 565, 868, 81, 25122, 18, 1003, 322, 291, 37806, 302, 3300, 14, 311, 2270, 719, 523, 275, 13779, 3776, 19, 9419, 17, 808, 18479, 273, 3324, 2233, 302, 18497, 619, 430, 17, 754, 275, 11118, 353, 13779, 275, 5641, 3091, 17, 928, 17, 448, 872, 618, 20095, 17, 4230, 444, 273, 5348, 17455, 19, 204, 18, 592, 275, 3793, 3062, 5398, 17, 275, 9682, 4627, 1622, 29765, 19914, 302, 275, 32008, 10673, 8744, 14029, 1283, 500, 19, 29, 329, 435, 19, 22, 33835, 17, 1335, 2327, 4645, 5190, 10212, 17, 4210, 18, 31848, 1229, 3642, 10673, 19, 334, 3981, 1283, 500, 19, 29, 329, 435, 19, 22, 33835, 353, 24190, 448, 47894, 299, 275, 3091, 302, 33099, 4801, 1882, 928, 548, 2115, 267, 2115, 28606, 1133, 867, 7196, 19, 334, 4017, 10212, 10673, 529, 35712, 311, 1489, 30341, 1347, 630, 275, 10212, 13518, 279, 6800, 375, 3582, 1058, 10846, 311, 479, 496, 1429, 23724, 2549, 444, 448, 6695, 448, 11818, 2181, 3299, 17, 1101, 508, 13765, 275, 667, 1643, 19, 1547, 353, 5913, 496, 1250, 24190, 10212, 10673, 448, 508, 1085, 302, 548, 2115, 267, 2115, 2317, 437, 14473, 496, 1784, 4426, 7636, 295, 18367, 521, 3061, 36343, 4249, 311, 2248, 378, 27302, 496, 275, 10212, 10673, 529, 508, 1085, 302, 548, 2115, 267, 2115, 19, 204, 1834, 353, 508, 311, 4627, 496, 548, 2115, 267, 2115, 4230, 508, 444, 17465, 1194, 12650, 6183, 19, 7356, 4453, 323, 2048, 292, 21251, 14003, 529, 5362, 311, 1489, 2404, 754, 5680, 5583, 299, 3459, 2317, 437, 40180, 11342, 302, 2181, 3299, 4230, 2909, 2090, 490, 15342, 1673, 1324, 19, 3355, 17, 490, 353, 4501, 23211, 311, 3020, 717, 9021, 6310, 311, 3061, 32774, 3888, 19, 9419, 572, 2842, 1519, 311, 1696, 719, 440, 904, 9021, 329, 6709, 311, 2886, 1605, 717, 10673, 348, 548, 2115, 267, 2115, 28606, 1133, 19, 204, 3873, 368, 31, 313, 21571, 9402, 10599, 560, 471, 33575, 36400, 2532, 13063, 204, 3873, 435, 31, 313, 21571, 6903, 14259, 560, 471, 33575, 36400, 2532, 13063, 0, 8, 21523, 560, 5959, 571, 19, 21, 19, 24, 523, 10651, 18, 5559, 18, 7788, 39285, 31, 8619, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 676, 6761, 11267, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 1058, 5420, 7861, 275, 379, 8967, 12, 570, 560, 11227, 275, 379, 5903, 68, 269, 12, 329, 379, 16744, 68, 269, 12, 2357, 19, 204, 204, 264, 334, 379, 5903, 68, 269, 12, 1242, 353, 2908, 311, 15551, 758, 275, 790, 1489, 1330, 273, 717, 2002, 353, 1966, 19, 204, 264, 334, 379, 16744, 68, 269, 12, 1242, 353, 2927, 5943, 311, 2512, 348, 8217, 496, 874, 508, 1742, 10689, 7301, 19, 204, 264, 320, 204, 204, 264, 314, 968, 275, 6127, 348, 808, 5420, 204, 264, 6127, 31, 458, 64, 2644, 64, 325, 17, 394, 2629, 289, 551, 204, 268, 314, 1058, 5420, 8788, 523, 275, 379, 25429, 68, 4881, 68, 1036, 2825, 32110, 68, 2353, 5049, 12, 5420, 292, 275, 379, 2036, 12, 740, 204, 268, 2448, 2036, 491, 379, 25429, 68, 4881, 68, 1036, 2825, 32110, 68, 2353, 5049, 2008, 204, 264, 2437, 204, 204, 264, 314, 968, 275, 2758, 311, 444, 8942, 292, 808, 5420, 204, 264, 2758, 31, 458, 64, 12571, 19, 12558, 66, 289, 551, 204, 268, 314, 1716, 275, 379, 5903, 68, 269, 12, 1242, 311, 732, 6545, 68, 1520, 68, 826, 34, 1021, 204, 268, 6447, 19, 20636, 13, 204, 305, 314, 9918, 275, 570, 588, 204, 305, 570, 68, 417, 833, 3396, 491, 204, 305, 314, 9918, 275, 1242, 588, 204, 305, 588, 833, 5903, 68, 269, 491, 204, 305, 314, 1716, 275, 1242, 311, 732, 6545, 68, 1520, 68, 826, 34, 1021, 204, 305, 1242, 34, 1618, 19, 12860, 13, 4881, 68, 1520, 68, 826, 34, 1021, 659, 204, 268, 5334, 204, 268, 314, 3867, 275, 379, 16744, 68, 269, 12, 1242, 5943, 204, 268, 6447, 19, 20636, 13, 204, 305, 314, 9918, 275, 570, 588, 204, 305, 570, 68, 417, 833, 3396, 491, 204, 305, 314, 9918, 275, 1242, 588, 204, 305, 588, 833, 16744, 68, 269, 491, 204, 305, 314, 1716, 275, 1242, 311, 444, 5943, 204, 305, 1242, 34, 1618, 19, 12860, 13, 8179, 34, 1021, 659, 204, 268, 5334, 204, 264, 2437, 204, 0, 461, 1151, 68, 5457, 68, 1663, 13, 3173, 31, 421, 17, 2630, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 4143, 273, 2510, 1525, 497, 2599, 537, 19, 204, 204, 264, 457, 31, 204, 264, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 1525, 19, 204, 264, 2630, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 458, 64, 655, 64, 339, 2440, 332, 435, 41, 458, 2457, 275, 2510, 1525, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1525, 440, 275, 800, 5150, 204, 264, 1525, 289, 1306, 204, 615, 264, 314, 1606, 848, 1237, 497, 2599, 537, 329, 6283, 490, 311, 275, 1525, 204, 264, 348, 906, 292, 933, 13, 3173, 330, 204, 268, 1237, 289, 537, 374, 204, 268, 314, 2208, 275, 537, 782, 311, 273, 458, 302, 1892, 329, 6283, 490, 311, 275, 1525, 204, 268, 1525, 19, 1223, 1568, 339, 13, 4039, 14, 348, 2092, 292, 1237, 694, 204, 615, 264, 407, 1525, 204, 204, 204, 461, 1020, 68, 12680, 68, 6845, 68, 1509, 1663, 13, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 421, 31, 204, 264, 320, 204, 264, 6746, 275, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 440, 830, 1842, 2545, 368, 19, 204, 204, 264, 457, 31, 204, 264, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 2510, 1525, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 440, 830, 1842, 2545, 368, 19, 204, 264, 320, 204, 264, 314, 763, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 542, 302, 3015, 329, 2630, 292, 275, 1525, 204, 264, 3015, 17, 2630, 289, 1245, 13, 1663, 659, 1245, 13, 1663, 64, 21, 694, 204, 615, 264, 314, 977, 273, 435, 41, 458, 311, 1640, 275, 7539, 302, 275, 4794, 2415, 860, 18, 15117, 204, 264, 314, 9801, 630, 848, 2092, 204, 264, 7165, 289, 5787, 21, 66, 540, 2630, 348, 906, 292, 933, 13, 3173, 2395, 204, 615, 264, 314, 977, 275, 1646, 1302, 302, 275, 2415, 860, 18, 1663, 204, 264, 846, 68, 835, 289, 500, 204, 615, 264, 314, 10155, 275, 1043, 1237, 329, 1043, 1837, 302, 275, 7165, 1435, 204, 264, 348, 296, 292, 933, 13, 3173, 330, 204, 268, 7165, 64, 78, 1799, 21, 66, 289, 1525, 64, 78, 1799, 21, 66, 204, 268, 846, 68, 835, 289, 846, 13, 1129, 68, 835, 17, 7165, 64, 78, 1799, 21, 694, 204, 615, 264, 348, 781, 292, 933, 13, 3786, 330, 204, 268, 7165, 64, 21, 1799, 79, 66, 289, 1525, 64, 21, 1799, 79, 66, 204, 268, 846, 68, 835, 289, 846, 13, 1129, 68, 835, 17, 7165, 64, 21, 1799, 79, 694, 204, 615, 264, 314, 10155, 275, 3022, 302, 275, 7165, 1435, 204, 264, 348, 296, 292, 933, 13, 22, 17, 3015, 330, 204, 268, 348, 781, 292, 933, 13, 22, 17, 2630, 330, 204, 305, 314, 828, 275, 790, 2092, 353, 368, 17, 275, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 204, 305, 314, 9801, 630, 808, 2092, 353, 275, 2311, 1302, 302, 275, 4794, 2415, 860, 18, 15117, 204, 305, 314, 9801, 630, 275, 1913, 17, 1824, 17, 329, 1913, 18, 1735, 4207, 9729, 368, 204, 305, 397, 1525, 64, 78, 1799, 79, 66, 564, 368, 31, 204, 485, 7165, 64, 78, 1799, 79, 66, 289, 1006, 13, 10056, 64, 78, 18, 22, 1799, 79, 648, 7165, 64, 78, 1799, 79, 18, 22, 648, 7165, 64, 78, 18, 22, 1799, 79, 18, 22, 694, 465, 368, 204, 485, 846, 68, 835, 289, 846, 13, 1129, 68, 835, 17, 7165, 64, 78, 1799, 79, 694, 204, 615, 264, 314, 455, 275, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 204, 264, 407, 846, 68, 835, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 1606, 275, 542, 302, 3015, 329, 2630, 497, 2599, 537, 204, 264, 3015, 17, 2630, 289, 2304, 13, 339, 17, 537, 1528, 1590, 1447, 204, 615, 264, 314, 1606, 275, 2510, 1525, 497, 2599, 537, 204, 264, 1525, 289, 1151, 68, 5457, 68, 1663, 13, 3173, 17, 2630, 14, 204, 615, 264, 314, 1752, 275, 1302, 302, 275, 4794, 2415, 860, 18, 1663, 440, 830, 1842, 2545, 368, 204, 264, 846, 68, 835, 289, 1020, 68, 12680, 68, 6845, 68, 1509, 1663, 13, 1663, 14, 204, 615, 264, 314, 1198, 275, 1864, 302, 275, 4794, 2415, 860, 18, 1663, 204, 264, 456, 13, 1129, 68, 835, 540, 846, 68, 835, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 1127, 204, 647, 2044, 23, 204, 647, 2010, 448, 645, 204, 647, 6032, 448, 1774, 204, 204, 461, 1137, 68, 29643, 68, 809, 13, 809, 68, 546, 31, 394, 17, 1800, 68, 1608, 68, 546, 31, 394, 14, 393, 1774, 19, 5191, 31, 204, 264, 320, 204, 264, 1385, 275, 12105, 570, 19, 204, 204, 264, 457, 31, 204, 268, 570, 68, 546, 322, 325, 330, 2621, 311, 275, 570, 510, 19, 204, 268, 1800, 68, 1608, 68, 546, 322, 325, 330, 2621, 311, 275, 1800, 2304, 510, 19, 204, 204, 264, 475, 31, 204, 268, 1774, 19, 5191, 31, 334, 3271, 12105, 2067, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 12105, 570, 204, 264, 7151, 68, 1944, 289, 1774, 19, 5963, 374, 204, 264, 440, 7151, 68, 1944, 19, 402, 68, 2305, 1293, 204, 268, 18057, 68, 1944, 68, 461, 289, 1774, 19, 5963, 7146, 374, 204, 268, 440, 1774, 19, 76, 553, 19, 44, 2597, 13, 809, 68, 546, 17, 379, 6952, 534, 448, 44131, 31, 204, 305, 11948, 68, 1944, 289, 44131, 19, 976, 374, 204, 305, 18057, 68, 1944, 68, 461, 19, 19353, 7374, 4269, 13, 15148, 68, 1944, 14, 204, 305, 1774, 19, 647, 68, 1944, 68, 461, 13, 478, 68, 1944, 68, 461, 17, 588, 11456, 204, 264, 407, 1774, 19, 5191, 13, 1944, 34, 12355, 68, 1944, 14, 204, 204, 461, 1137, 68, 4814, 68, 1669, 13, 4814, 68, 546, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 1385, 275, 1043, 2023, 302, 273, 2752, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 2752, 68, 546, 322, 325, 330, 2621, 311, 275, 2752, 1445, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 1043, 2023, 302, 275, 2752, 1767, 19, 204, 264, 320, 204, 264, 314, 1385, 275, 2752, 510, 204, 264, 2752, 68, 2375, 289, 2282, 13, 865, 19, 8970, 13, 4814, 68, 546, 602, 204, 264, 1043, 68, 1669, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 4814, 68, 546, 17, 2752, 68, 2375, 64, 21, 694, 204, 264, 407, 2044, 23, 19, 10465, 13, 2922, 68, 1669, 68, 546, 14, 204, 204, 461, 11774, 68, 935, 13, 935, 31, 645, 19, 766, 17, 5657, 31, 421, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 16538, 437, 752, 560, 4950, 4528, 24469, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 11774, 19, 204, 268, 5657, 322, 339, 330, 3239, 302, 2666, 311, 11774, 275, 752, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 11780, 752, 19, 204, 264, 320, 204, 264, 314, 16538, 275, 752, 204, 264, 348, 906, 292, 933, 13, 11906, 330, 204, 268, 752, 289, 2044, 23, 19, 15941, 13, 935, 17, 2044, 23, 19, 35315, 3538, 68, 3276, 68, 40, 13657, 22911, 1599, 14, 204, 264, 407, 752, 204, 204, 461, 6824, 68, 935, 13, 935, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 19108, 437, 752, 1609, 523, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 273, 21092, 4392, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 6824, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 17725, 752, 19, 204, 264, 320, 204, 264, 314, 19108, 275, 752, 204, 264, 4392, 289, 6824, 13, 935, 14, 226, 314, 6652, 6824, 741, 353, 4310, 13762, 204, 264, 407, 770, 68, 12831, 13, 935, 17, 4392, 14, 226, 314, 6652, 770, 68, 12831, 741, 353, 4310, 13762, 204, 204, 461, 2811, 68, 1386, 68, 12355, 13, 2488, 31, 1774, 19, 5191, 17, 752, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 3055, 726, 7151, 523, 437, 752, 19, 204, 204, 264, 457, 31, 204, 268, 2067, 322, 2987, 19, 5191, 330, 334, 12105, 2067, 19, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 311, 4522, 2828, 292, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 334, 7151, 6591, 17, 3703, 17, 4364, 17, 329, 542, 302, 19078, 19, 204, 264, 320, 204, 264, 314, 3055, 726, 7151, 204, 264, 752, 68, 32423, 289, 645, 19, 11185, 68, 10840, 13, 935, 17, 3138, 34, 21, 14, 204, 264, 3806, 289, 551, 2488, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 7040, 31, 21, 2008, 204, 11826, 2067, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 4319, 31, 21, 2008, 204, 11826, 2067, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 12355, 68, 3191, 31, 21, 2008, 204, 11826, 2067, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 920, 68, 24381, 31, 21, 10116, 204, 264, 407, 2067, 19, 1777, 13, 4599, 17, 4182, 68, 873, 2508, 2488, 19, 1944, 19, 505, 68, 3116, 68, 1424, 68, 417, 611, 935, 68, 3116, 31, 21, 4448, 752, 68, 32423, 1937, 204, 204, 461, 2081, 68, 24381, 13, 935, 31, 645, 19, 766, 17, 3442, 31, 421, 17, 6591, 31, 645, 19, 766, 17, 4364, 31, 645, 19, 766, 17, 3703, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 4863, 726, 19078, 1609, 523, 273, 3442, 19, 204, 204, 264, 457, 31, 204, 268, 752, 322, 1123, 19, 766, 330, 334, 752, 496, 867, 1376, 348, 7151, 19, 204, 268, 3442, 322, 339, 330, 334, 2311, 2279, 1945, 348, 273, 7151, 311, 444, 6028, 1097, 19, 204, 268, 6591, 322, 1123, 19, 766, 330, 334, 7151, 6591, 19, 204, 268, 4364, 322, 1123, 19, 766, 330, 334, 7151, 4364, 19, 204, 268, 3703, 322, 1123, 19, 766, 330, 334, 7151, 3703, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 334, 4932, 7151, 6591, 17, 4364, 17, 329, 3703, 19, 204, 264, 320, 204, 264, 314, 4863, 275, 19078, 204, 264, 407, 770, 68, 2741, 13, 935, 17, 3442, 17, 6591, 17, 4364, 17, 3703, 14, 226, 314, 6652, 770, 68, 2741, 741, 353, 4310, 13762, 204, 204, 461, 4959, 68, 4814, 68, 13892, 13, 4814, 68, 546, 31, 394, 17, 919, 68, 546, 31, 394, 17, 5657, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3325, 273, 2752, 1767, 329, 1967, 14290, 1470, 1483, 19, 204, 204, 264, 457, 31, 204, 268, 2752, 68, 546, 322, 325, 330, 2621, 311, 275, 2752, 1445, 19, 204, 268, 919, 68, 546, 322, 325, 330, 2621, 311, 275, 919, 1445, 19, 204, 268, 5657, 322, 339, 330, 3239, 302, 2666, 311, 11774, 275, 752, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 12105, 570, 204, 268, 570, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 26054, 3843, 553, 31720, 379, 3549, 491, 379, 3052, 491, 379, 24244, 68, 20361, 68, 1944, 19, 11922, 534, 204, 268, 1800, 68, 1608, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 7094, 13, 865, 19, 546, 19, 26054, 3843, 553, 31720, 379, 3549, 491, 379, 3052, 491, 379, 1676, 1608, 19, 11922, 3039, 534, 204, 268, 2067, 289, 1137, 68, 29643, 68, 809, 13, 809, 68, 546, 17, 1800, 68, 1608, 68, 546, 14, 204, 204, 268, 314, 1385, 275, 2752, 2023, 204, 268, 1043, 68, 1669, 289, 1137, 68, 4814, 68, 1669, 13, 4814, 68, 546, 14, 204, 204, 268, 314, 16538, 275, 752, 204, 268, 11780, 68, 1669, 289, 11774, 68, 935, 13, 2922, 68, 1669, 17, 5657, 14, 204, 204, 268, 314, 19108, 275, 752, 204, 268, 17725, 68, 1669, 289, 6824, 68, 935, 13, 25936, 68, 1669, 14, 204, 204, 268, 314, 3055, 726, 7151, 204, 268, 6591, 17, 3703, 17, 4364, 17, 771, 289, 2811, 68, 1386, 68, 12355, 13, 2488, 17, 17725, 68, 1669, 14, 204, 204, 268, 314, 4863, 275, 19078, 204, 268, 4932, 68, 7040, 17, 4932, 68, 3191, 17, 4932, 68, 4319, 289, 2081, 68, 24381, 13, 32754, 68, 1669, 17, 1199, 17, 6591, 17, 4364, 17, 3703, 14, 204, 204, 268, 314, 3168, 322, 5243, 302, 275, 1576, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2752, 68, 546, 289, 388, 546, 68, 633, 68, 4814, 68, 2100, 7, 204, 264, 919, 68, 546, 289, 388, 546, 68, 633, 68, 1420, 68, 2100, 7, 204, 264, 5657, 289, 368, 204, 264, 4959, 68, 4814, 68, 13892, 13, 4814, 68, 546, 17, 919, 68, 546, 17, 5657, 14, 204, 0, 647, 2010, 448, 645, 204, 531, 2821, 532, 5900, 17, 353, 32018, 204, 204, 461, 949, 68, 21426, 68, 3174, 13, 1096, 22, 31, 927, 17, 917, 23, 31, 927, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 10781, 1759, 1283, 970, 1728, 19, 204, 204, 264, 457, 31, 204, 264, 917, 22, 322, 2644, 330, 334, 1043, 917, 19, 204, 264, 917, 23, 322, 2644, 330, 334, 1350, 917, 19, 204, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 264, 475, 31, 204, 264, 818, 31, 334, 10781, 1759, 1283, 275, 970, 1728, 19, 204, 264, 320, 204, 264, 314, 888, 275, 2712, 292, 610, 329, 469, 2992, 204, 264, 4992, 289, 917, 22, 64, 21, 66, 338, 917, 23, 64, 21, 66, 204, 264, 6748, 289, 917, 22, 64, 22, 66, 338, 917, 23, 64, 22, 66, 204, 264, 314, 455, 275, 10781, 1759, 204, 264, 407, 5900, 13, 4928, 930, 435, 465, 6748, 930, 435, 14, 204, 204, 461, 13356, 68, 82, 68, 876, 13, 93, 31, 421, 14, 393, 818, 31, 204, 264, 320, 204, 264, 41897, 275, 700, 302, 502, 974, 273, 21895, 741, 19, 204, 204, 264, 457, 31, 204, 264, 610, 322, 339, 330, 334, 537, 700, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 29024, 700, 302, 502, 19, 204, 264, 320, 204, 264, 314, 2680, 10208, 1019, 348, 502, 204, 264, 309, 68, 1309, 289, 551, 27, 17, 5924, 17, 26745, 17, 27116, 30, 17, 17386, 2188, 17, 2846, 6221, 22, 17, 36276, 42092, 17, 2989, 7653, 19237, 17, 1168, 2418, 7653, 2300, 17, 681, 4920, 1641, 37296, 66, 204, 264, 314, 2069, 610, 1019, 348, 275, 800, 502, 1019, 204, 264, 610, 68, 1309, 289, 458, 13, 2307, 13, 1796, 13, 82, 68, 1309, 3694, 204, 264, 314, 10083, 273, 3542, 5326, 311, 275, 711, 13, 50, 14, 1019, 204, 264, 279, 22, 17, 279, 21, 289, 645, 19, 13301, 2714, 13, 93, 68, 1309, 17, 645, 19, 761, 13, 82, 68, 1309, 659, 368, 14, 204, 264, 314, 455, 275, 29024, 502, 700, 204, 264, 407, 645, 19, 4041, 13, 72, 22, 540, 610, 465, 279, 21, 14, 204, 204, 461, 1020, 68, 2922, 68, 7107, 68, 266, 68, 2307, 13, 82, 68, 3006, 31, 421, 17, 309, 68, 5231, 31, 421, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1752, 275, 1043, 1988, 292, 275, 800, 933, 302, 309, 1019, 19, 204, 204, 264, 457, 31, 204, 264, 309, 68, 3006, 322, 339, 330, 334, 3124, 2722, 302, 275, 933, 19, 204, 264, 309, 68, 5231, 322, 339, 330, 334, 3482, 2722, 302, 275, 933, 19, 204, 204, 264, 475, 31, 204, 264, 927, 31, 334, 1043, 1988, 322, 83, 17, 309, 14, 292, 275, 933, 19, 204, 264, 320, 204, 264, 314, 2069, 4069, 5537, 292, 275, 800, 933, 204, 264, 348, 724, 23, 292, 1900, 68, 11230, 68, 11727, 68, 266, 68, 2307, 13, 29, 540, 309, 68, 3006, 540, 309, 68, 3006, 465, 368, 17, 1132, 540, 309, 68, 5231, 540, 309, 68, 5231, 465, 368, 330, 204, 268, 314, 778, 397, 724, 23, 338, 368, 353, 273, 3536, 302, 1132, 204, 268, 397, 322, 80, 23, 338, 368, 14, 1564, 1132, 564, 500, 31, 204, 305, 314, 888, 309, 23, 329, 309, 204, 305, 309, 23, 289, 322, 80, 23, 338, 368, 14, 3166, 1132, 204, 305, 309, 289, 353, 32018, 13, 82, 23, 14, 204, 305, 314, 778, 397, 309, 540, 309, 9329, 309, 23, 204, 305, 397, 309, 540, 309, 564, 309, 23, 31, 204, 485, 314, 888, 724, 329, 300, 204, 485, 724, 289, 353, 32018, 13, 80, 23, 14, 204, 485, 2136, 724, 540, 724, 564, 724, 23, 204, 485, 2136, 322, 80, 465, 435, 540, 309, 465, 368, 14, 1564, 435, 564, 500, 204, 485, 300, 289, 322, 80, 465, 435, 540, 309, 465, 368, 14, 3166, 435, 204, 485, 314, 778, 275, 1581, 435, 540, 300, 540, 300, 338, 435, 540, 300, 564, 322, 83, 465, 309, 14, 540, 322, 83, 465, 309, 338, 368, 14, 204, 485, 2136, 435, 540, 300, 540, 300, 338, 435, 540, 300, 564, 322, 83, 465, 309, 14, 540, 322, 83, 465, 309, 338, 368, 14, 204, 485, 314, 455, 275, 1988, 322, 83, 17, 309, 14, 204, 485, 407, 322, 83, 17, 309, 14, 204, 264, 314, 455, 443, 397, 1236, 1988, 353, 1193, 204, 264, 407, 443, 204, 204, 461, 1900, 68, 11230, 68, 11727, 68, 266, 68, 2307, 13, 3006, 31, 421, 17, 3482, 31, 421, 330, 204, 264, 320, 204, 264, 2069, 4069, 5537, 292, 275, 800, 933, 19, 204, 204, 264, 457, 31, 204, 264, 3124, 322, 339, 330, 334, 3124, 2722, 302, 275, 933, 19, 204, 264, 3482, 322, 339, 330, 334, 3482, 2722, 302, 275, 933, 19, 204, 204, 264, 9112, 31, 204, 264, 421, 31, 334, 1682, 4069, 2415, 292, 275, 933, 19, 204, 264, 320, 204, 264, 314, 1752, 275, 5527, 4069, 542, 6738, 2415, 353, 3114, 1194, 521, 1936, 311, 275, 3124, 2722, 204, 264, 308, 289, 353, 32018, 13, 3006, 14, 204, 264, 1335, 308, 540, 308, 962, 3124, 31, 204, 268, 308, 1412, 368, 204, 264, 1335, 322, 71, 540, 308, 14, 1564, 435, 564, 500, 31, 204, 268, 308, 1412, 368, 204, 264, 314, 2069, 4069, 5537, 292, 275, 933, 204, 264, 1335, 308, 540, 308, 962, 3482, 31, 204, 268, 2136, 308, 1564, 435, 564, 368, 204, 268, 4353, 308, 540, 308, 204, 268, 308, 1412, 435, 204, 204, 461, 667, 1293, 204, 264, 314, 1165, 1265, 31, 204, 264, 348, 610, 292, 933, 13, 1258, 17, 3861, 330, 204, 268, 314, 41897, 275, 502, 700, 204, 268, 309, 68, 1539, 289, 13356, 68, 82, 68, 876, 13, 93, 14, 204, 268, 314, 888, 275, 933, 348, 309, 204, 268, 265, 289, 368, 19, 32294, 204, 268, 309, 68, 3006, 289, 421, 13, 82, 68, 1539, 540, 368, 802, 265, 14, 338, 368, 204, 268, 309, 68, 5231, 289, 421, 13, 82, 68, 1539, 540, 265, 14, 465, 368, 204, 268, 314, 1752, 275, 1043, 1988, 292, 275, 933, 204, 268, 1988, 289, 1020, 68, 2922, 68, 7107, 68, 266, 68, 2307, 13, 82, 68, 3006, 17, 309, 68, 5231, 14, 204, 268, 397, 1988, 31, 204, 305, 300, 17, 309, 289, 1988, 204, 305, 456, 13, 83, 465, 309, 14, 204, 305, 314, 778, 397, 275, 1066, 302, 300, 329, 309, 10472, 368, 74, 1258, 204, 305, 397, 300, 465, 309, 3721, 421, 13, 22, 74, 1258, 330, 204, 485, 456, 13, 75, 4705, 83, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 98, 5631, 329, 463, 82, 98, 4720, 534, 204, 485, 2280, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 2920, 4935, 1120, 275, 17154, 1523, 2518, 41791, 275, 4279, 36, 204, 204, 1449, 2616, 808, 1844, 17, 572, 1519, 311, 3126, 275, 5914, 302, 275, 4279, 329, 275, 17154, 19, 334, 4279, 353, 21061, 27138, 440, 437, 1419, 3581, 17, 329, 275, 17154, 353, 4436, 311, 13106, 490, 19, 716, 204, 4377, 31, 204, 18, 807, 6329, 3581, 302, 275, 4279, 289, 720, 309, 20, 88, 322, 398, 3998, 14, 204, 18, 25154, 3913, 311, 8770, 322, 76, 14, 289, 931, 309, 20, 88, 67, 23, 322, 2974, 3998, 14, 204, 18, 334, 17154, 677, 2969, 289, 571, 309, 20, 88, 322, 13438, 14, 204, 204, 5834, 17, 2249, 677, 949, 275, 690, 490, 5178, 348, 275, 4279, 311, 5288, 1163, 1646, 1853, 329, 407, 311, 275, 1419, 1853, 19, 204, 204, 4931, 275, 1581, 31, 628, 75, 289, 9427, 465, 13900, 17, 1273, 628, 75, 289, 500, 322, 269, 1646, 1853, 659, 9427, 289, 720, 309, 20, 88, 17, 329, 357, 289, 931, 309, 20, 88, 67, 23, 17, 572, 618, 1020, 275, 690, 311, 5288, 275, 1646, 1853, 31, 204, 21, 289, 720, 465, 3457, 1003, 14, 89, 204, 21, 289, 720, 338, 931, 89, 204, 1003, 89, 289, 720, 204, 89, 289, 500, 19, 26, 3331, 204, 204, 4592, 275, 4279, 5178, 275, 1729, 690, 311, 5573, 1818, 311, 1163, 1419, 1853, 17, 275, 1113, 690, 353, 368, 1350, 19, 204, 204, 4063, 17, 2249, 677, 949, 275, 5954, 11492, 302, 275, 4279, 19, 3355, 17, 572, 529, 508, 800, 275, 1419, 5954, 3581, 302, 275, 4279, 19, 6652, 275, 4279, 353, 21061, 7400, 719, 17, 1163, 5954, 3581, 353, 500, 309, 20, 88, 19, 204, 204, 4259, 572, 2379, 275, 17154, 677, 2969, 353, 571, 309, 20, 88, 19, 2416, 13106, 275, 4279, 17, 275, 17154, 329, 275, 4279, 1631, 874, 275, 1729, 5954, 11492, 19, 4682, 275, 4279, 677, 5954, 3581, 353, 508, 800, 17, 2249, 677, 5257, 490, 677, 21061, 440, 273, 5954, 3581, 496, 6876, 275, 17154, 311, 13106, 490, 19, 204, 204, 673, 17154, 677, 5954, 11492, 292, 368, 1350, 353, 31, 204, 93, 289, 48848, 289, 571, 540, 368, 289, 571, 309, 204, 204, 4592, 275, 17154, 329, 275, 4279, 1631, 874, 275, 1729, 5954, 11492, 311, 13106, 275, 4279, 17, 275, 4279, 677, 5954, 11492, 353, 1425, 571, 309, 19, 204, 204, 4356, 17, 275, 17154, 1120, 1523, 571, 6166, 2518, 41791, 275, 4279, 19, 0, 673, 9206, 24448, 1405, 3332, 275, 3773, 302, 32268, 1277, 329, 1163, 5800, 523, 33466, 5914, 17, 8578, 292, 8387, 31658, 19, 334, 667, 2717, 353, 3855, 6397, 604, 1387, 322, 74, 19, 76, 2458, 6397, 4494, 19497, 14, 1308, 437, 12312, 292, 9471, 2969, 329, 2347, 19, 204, 204, 5842, 4601, 353, 496, 32268, 1277, 353, 37803, 17, 448, 275, 2969, 630, 275, 1136, 302, 275, 32268, 353, 19264, 6246, 275, 2969, 630, 275, 3466, 302, 3284, 17, 16527, 302, 32268, 1277, 19, 3355, 17, 808, 18479, 273, 3277, 570, 1273, 275, 3466, 302, 3284, 353, 19264, 41983, 4558, 275, 32268, 19, 204, 204, 12695, 88, 21836, 496, 6397, 604, 1387, 618, 1900, 1182, 2969, 17, 1101, 490, 677, 508, 15491, 3277, 311, 1225, 685, 5566, 19, 3433, 4894, 496, 275, 6745, 72, 7176, 322, 74, 19, 76, 2458, 275, 31974, 14, 329, 275, 3726, 302, 32268, 5466, 523, 4260, 1653, 302, 275, 6745, 72, 7176, 1370, 273, 11897, 4263, 292, 15628, 275, 12312, 302, 6397, 604, 1387, 19, 204, 204, 38, 896, 917, 353, 496, 275, 5914, 353, 508, 2842, 1465, 275, 4494, 3040, 17, 1101, 1425, 5628, 275, 5641, 11459, 5649, 17, 2864, 275, 38875, 17, 373, 4110, 17, 329, 13624, 19, 334, 732, 302, 275, 2258, 18, 3040, 322, 5198, 18, 427, 22855, 9739, 14, 353, 1425, 14511, 17, 440, 1429, 45911, 496, 490, 7894, 311, 1900, 2347, 329, 5261, 23081, 496, 490, 677, 508, 6456, 19, 204, 204, 673, 12081, 26023, 523, 275, 6733, 496, 275, 25161, 302, 33466, 4230, 444, 19486, 1194, 1250, 5111, 17, 329, 496, 1048, 18, 1668, 729, 1070, 5337, 618, 3014, 311, 9578, 19, 334, 8622, 302, 2133, 36623, 17, 19730, 17, 329, 12559, 3326, 353, 1425, 36986, 19, 204, 204, 8390, 9764, 1728, 329, 3888, 24153, 497, 275, 9206, 31, 204, 204, 15, 4208, 275, 31974, 275, 6745, 72, 7176, 292, 275, 33466, 5914, 17, 329, 397, 754, 17, 1583, 490, 1308, 1169, 2318, 41512, 36, 204, 15, 3899, 6397, 604, 1387, 1900, 1182, 2347, 17, 329, 397, 754, 17, 5566, 36, 204, 15, 2026, 1583, 275, 732, 302, 275, 2258, 18, 3040, 14863, 311, 275, 33466, 5914, 36, 204, 15, 4208, 275, 3773, 302, 388, 6190, 9559, 275, 39275, 7, 292, 4494, 4659, 32129, 273, 19420, 17, 329, 397, 754, 17, 2075, 677, 275, 2641, 4263, 302, 275, 39275, 292, 9471, 2347, 36, 204, 204, 26212, 17, 275, 9206, 22442, 275, 9253, 302, 275, 33466, 5914, 329, 275, 1519, 348, 273, 17540, 5384, 302, 275, 11750, 24305, 329, 11258, 19, 0, 1189, 10922, 11406, 990, 6245, 831, 1001, 12625, 41905, 7118, 1999, 34321, 20661, 3235, 408, 11999, 30525, 18792, 5137, 30058, 9959, 34438, 568, 21874, 408, 6039, 255, 7392, 2112, 32296, 43904, 16792, 16236, 725, 19935, 37363, 408, 15860, 9228, 18792, 5137, 28451, 10717, 16236, 568, 5718, 408, 6039, 255, 7392, 2112, 18792, 39115, 4924, 4821, 2499, 1603, 9358, 34321, 26077, 8255, 1227, 20434, 3590, 15860, 36613, 408, 48152, 8255, 1227, 20434, 1603, 34321, 26077, 3590, 28250, 408, 11999, 7118, 1999, 18792, 5137, 568, 204, 22, 725, 27981, 27600, 460, 45498, 2122, 5295, 6395, 5659, 12744, 13592, 2575, 2860, 37591, 53, 628, 346, 2575, 8792, 408, 27981, 5259, 10166, 921, 1432, 11494, 2654, 1390, 3058, 204, 19712, 1984, 2149, 230, 26379, 8709, 34237, 5381, 10577, 5368, 3031, 47428, 3491, 5265, 2677, 34237, 5381, 8846, 6577, 3977, 2849, 42, 5485, 1773, 14, 204, 23, 725, 942, 9190, 13644, 27564, 4769, 1227, 4345, 6444, 36685, 4769, 408, 3038, 2336, 17125, 725, 15093, 44827, 6233, 6770, 725, 5038, 6770, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 568, 204, 22, 725, 5295, 29336, 18792, 5137, 9459, 408, 1603, 15429, 18792, 13261, 725, 44019, 5295, 3590, 4068, 725, 13833, 725, 23558, 3058, 204, 23, 725, 17164, 4345, 6444, 36685, 460, 18792, 46610, 7813, 9190, 17359, 408, 17164, 4345, 6444, 36685, 2321, 29377, 6301, 2094, 2321, 20152, 10880, 5727, 25, 6377, 3058, 204, 24, 725, 9190, 13644, 2321, 44557, 21103, 18792, 46610, 7813, 9190, 17359, 568, 204, 23, 725, 9190, 13644, 2321, 44557, 4769, 1227, 17164, 4345, 6444, 36685, 4769, 4771, 1262, 18792, 18840, 3058, 204, 24, 725, 18792, 2321, 9942, 45774, 13561, 17249, 408, 18792, 46610, 5295, 6395, 831, 1262, 831, 3445, 15093, 568, 204, 0, 647, 304, 204, 647, 1127, 204, 204, 461, 353, 68, 5457, 68, 553, 13, 553, 68, 546, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 510, 353, 2510, 560, 4488, 1163, 4578, 329, 9101, 348, 3749, 3154, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 510, 353, 2510, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 3594, 275, 510, 292, 2510, 2291, 311, 1356, 348, 3749, 3154, 204, 264, 440, 1451, 13, 553, 68, 546, 17, 379, 6952, 534, 448, 510, 68, 1386, 31, 204, 268, 314, 1606, 273, 5212, 302, 275, 510, 311, 4516, 4644, 3403, 1860, 1025, 4843, 204, 268, 5212, 289, 510, 68, 1386, 19, 976, 13, 12958, 14, 204, 268, 407, 308, 8761, 93, 473, 12, 292, 5212, 204, 204, 461, 636, 68, 492, 68, 2375, 13, 2100, 31, 394, 14, 393, 458, 64, 325, 744, 204, 264, 320, 204, 264, 3596, 273, 458, 302, 1068, 1860, 292, 275, 1713, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 322, 325, 330, 334, 1445, 311, 1813, 348, 1068, 1860, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 325, 744, 332, 458, 302, 1068, 510, 3630, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 458, 311, 1640, 1068, 510, 3630, 204, 264, 1068, 68, 2375, 289, 1306, 204, 264, 314, 1861, 1048, 848, 510, 292, 275, 1445, 204, 264, 348, 510, 68, 417, 292, 1127, 19, 8970, 13, 2100, 330, 204, 268, 314, 5128, 275, 3101, 510, 832, 204, 268, 510, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 2100, 17, 510, 68, 417, 14, 204, 268, 314, 778, 397, 275, 510, 353, 273, 4217, 510, 322, 1551, 273, 1445, 14, 329, 508, 2510, 204, 268, 397, 1127, 19, 546, 19, 13226, 13, 553, 68, 546, 14, 329, 508, 353, 68, 5457, 68, 553, 13, 553, 68, 546, 330, 204, 305, 314, 1255, 275, 510, 832, 311, 275, 458, 302, 1068, 1860, 204, 305, 1068, 68, 2375, 19, 1223, 13, 553, 68, 546, 14, 204, 264, 407, 1068, 68, 2375, 204, 204, 461, 1813, 68, 1538, 68, 4745, 13, 553, 68, 546, 31, 394, 17, 2679, 31, 304, 19, 16983, 14, 393, 443, 31, 204, 264, 320, 204, 264, 20139, 348, 273, 2679, 292, 273, 1068, 510, 329, 5538, 275, 7535, 2238, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 510, 311, 1813, 19, 204, 268, 2679, 322, 272, 19, 16983, 330, 334, 2679, 311, 1813, 348, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 1068, 2291, 204, 268, 440, 1451, 13, 553, 68, 546, 17, 379, 87, 491, 4051, 833, 3102, 18, 29, 534, 448, 510, 68, 1386, 31, 204, 305, 314, 1861, 1048, 848, 1007, 292, 275, 510, 204, 305, 348, 1007, 68, 1190, 17, 1007, 292, 3209, 13, 553, 68, 1386, 17, 1012, 34, 22, 330, 204, 485, 314, 6994, 348, 275, 2679, 292, 275, 1007, 204, 485, 2216, 289, 2679, 19, 1803, 13, 1054, 14, 204, 485, 397, 2216, 31, 204, 895, 314, 1198, 275, 7535, 1007, 329, 2679, 204, 895, 456, 374, 204, 895, 456, 13, 75, 7, 17618, 472, 48808, 292, 510, 31, 463, 553, 68, 546, 743, 204, 895, 456, 13, 75, 7, 9576, 463, 1054, 68, 1190, 2829, 463, 1054, 19, 2892, 8050, 204, 895, 456, 13, 75, 7, 16983, 31, 463, 4054, 19, 2207, 8050, 204, 264, 827, 12368, 448, 318, 31, 204, 268, 314, 1426, 510, 18, 5969, 2744, 204, 268, 456, 13, 75, 7, 596, 4488, 510, 463, 553, 68, 546, 2829, 463, 74, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 314, 763, 275, 575, 537, 348, 275, 4217, 2231, 204, 264, 575, 68, 768, 289, 537, 499, 2101, 273, 1097, 4217, 2231, 440, 1236, 14257, 31, 2810, 204, 264, 810, 31, 204, 268, 314, 11886, 275, 4217, 2231, 204, 268, 15782, 68, 11776, 289, 304, 19, 7354, 13, 75, 33609, 816, 68, 768, 16048, 204, 264, 827, 304, 19, 718, 448, 318, 31, 204, 268, 314, 1426, 2872, 4217, 7277, 204, 268, 456, 13, 75, 7, 1962, 4217, 2231, 31, 463, 74, 743, 204, 268, 407, 204, 204, 264, 314, 763, 275, 458, 302, 1068, 1860, 292, 275, 790, 1445, 204, 264, 1068, 68, 2375, 289, 636, 68, 492, 68, 2375, 24156, 204, 264, 314, 6994, 348, 275, 2679, 292, 848, 1068, 510, 204, 264, 348, 510, 68, 546, 292, 1068, 68, 2375, 31, 204, 268, 1813, 68, 1538, 68, 4745, 13, 553, 68, 546, 17, 15782, 68, 11776, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 5399, 529, 1598, 10114, 311, 1340, 18844, 504, 10942, 348, 3859, 17, 27576, 560, 3397, 31, 204, 204, 1380, 9877, 552, 10562, 204, 204, 22, 19, 930, 9658, 14106, 440, 2468, 3054, 1416, 1974, 275, 13781, 6045, 280, 1216, 311, 9356, 928, 5869, 874, 2468, 3054, 19, 346, 805, 1214, 1922, 1025, 273, 283, 337, 329, 4609, 848, 13781, 6045, 280, 329, 20941, 2105, 273, 2699, 17, 4145, 440, 10137, 19, 26165, 6045, 280, 5869, 874, 7207, 3054, 17, 1335, 20941, 2105, 5869, 874, 2468, 3054, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 17, 827, 11788, 19, 204, 23, 19, 930, 20542, 30033, 1416, 666, 16518, 6410, 2090, 388, 25, 24772, 465, 681, 24458, 9329, 382, 379, 29, 12, 273, 35856, 7, 329, 388, 27, 348, 24372, 465, 887, 348, 2745, 44416, 9329, 1598, 17, 273, 26577, 7, 311, 1340, 9356, 4998, 10942, 19, 204, 24, 19, 930, 14799, 1693, 8783, 4125, 523, 273, 1582, 1416, 2649, 541, 1214, 1656, 311, 15080, 322, 1766, 20566, 14, 2518, 15318, 719, 322, 18268, 21158, 14, 311, 1340, 1475, 9356, 275, 1552, 302, 2758, 19, 204, 25, 19, 930, 37875, 302, 7654, 1416, 1974, 275, 36261, 388, 837, 46791, 3665, 11631, 7, 311, 9356, 275, 1552, 302, 4099, 31, 16272, 17, 6789, 17, 22429, 17, 329, 12137, 19, 204, 26, 19, 930, 30, 2666, 1435, 1416, 1974, 273, 1922, 17764, 311, 1340, 9356, 275, 1233, 2666, 1435, 19, 3239, 1214, 22042, 497, 368, 311, 931, 17, 1675, 36560, 1873, 275, 14992, 3310, 311, 275, 6177, 1844, 19, 334, 22042, 311, 275, 1824, 302, 275, 32829, 14992, 1173, 275, 12738, 3717, 17, 329, 275, 22042, 311, 275, 1629, 1173, 275, 6399, 3717, 19, 204, 204, 1380, 4585, 12460, 36956, 204, 204, 22, 19, 930, 46, 2518, 471, 1416, 39224, 275, 19763, 10837, 388, 46, 2518, 471, 827, 1877, 346, 17, 521, 1330, 5316, 299, 2090, 332, 448, 292, 6199, 329, 15092, 7, 440, 273, 24601, 311, 1340, 9356, 2805, 19, 204, 23, 19, 930, 38570, 329, 8732, 1416, 1974, 17857, 2090, 388, 38, 6914, 353, 8965, 1415, 1120, 9291, 440, 872, 311, 275, 1136, 7, 329, 388, 5058, 872, 8732, 273, 14029, 14581, 311, 1340, 9356, 275, 1706, 16951, 880, 19, 204, 24, 19, 930, 18365, 18, 11438, 299, 2159, 1416, 1974, 17857, 2090, 388, 2841, 869, 273, 2481, 292, 490, 322, 2420, 13287, 329, 388, 36837, 869, 273, 1874, 292, 490, 322, 1947, 4669, 296, 13287, 311, 1340, 21757, 1283, 2159, 2090, 1422, 17, 1017, 17, 329, 1250, 7188, 19, 204, 25, 19, 930, 57, 19247, 94, 2159, 1416, 1974, 814, 1816, 21533, 2090, 388, 14813, 36824, 618, 4501, 3126, 2637, 36824, 7, 311, 9356, 2159, 2090, 2404, 17, 329, 17857, 2090, 388, 70, 6508, 7, 6204, 311, 9356, 2159, 2090, 7490, 19, 204, 204, 1380, 8134, 30275, 204, 204, 22, 19, 930, 17724, 2187, 1416, 1974, 275, 36261, 388, 7061, 31279, 9465, 756, 26352, 11815, 3983, 1462, 15167, 392, 714, 865, 7, 311, 9356, 275, 1552, 302, 275, 18834, 19, 204, 23, 19, 930, 9339, 8822, 1416, 1974, 814, 1816, 21533, 2090, 388, 51, 1826, 39820, 387, 1312, 1997, 595, 5042, 793, 7, 311, 9356, 24112, 7505, 17, 329, 17857, 2090, 388, 38597, 869, 437, 379, 51, 12, 2090, 8616, 7, 311, 21757, 1283, 7754, 329, 7581, 19, 204, 24, 19, 930, 22869, 1416, 39224, 275, 44413, 388, 5681, 4815, 353, 2223, 17, 7523, 273, 5631, 13993, 19, 4168, 4815, 353, 3264, 17, 7523, 8434, 521, 12855, 7, 311, 1340, 9356, 5583, 3758, 19, 204, 25, 19, 930, 30764, 34609, 1416, 1974, 275, 36261, 388, 7061, 20061, 28355, 677, 791, 3483, 332, 92, 30337, 7, 311, 9356, 275, 5544, 4376, 34609, 31, 25948, 17, 11340, 17, 6830, 17, 45781, 17, 329, 41124, 4825, 19, 0, 647, 3805, 448, 1246, 204, 647, 4378, 19, 5380, 448, 1513, 204, 531, 4378, 19, 18257, 532, 12121, 35264, 204, 647, 2010, 448, 645, 204, 531, 2665, 447, 19, 11972, 532, 25076, 204, 204, 8, 4861, 204, 8992, 42371, 289, 1233, 19, 7900, 226, 314, 309, 20, 88, 67, 23, 204, 1119, 50, 68, 43123, 8571, 68, 18313, 289, 379, 85, 68, 44208, 12, 226, 314, 45815, 4815, 1837, 588, 204, 2530, 11023, 4524, 68, 18313, 289, 379, 73, 68, 85, 12, 226, 314, 25688, 1837, 588, 204, 204, 461, 1137, 68, 416, 68, 5614, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 927, 64, 2600, 19, 1362, 17, 1246, 19, 1362, 744, 204, 264, 320, 204, 264, 5984, 424, 497, 437, 6057, 510, 17, 37352, 490, 17, 329, 2584, 275, 424, 329, 2072, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 546, 322, 325, 330, 334, 832, 311, 275, 6057, 510, 19, 204, 204, 264, 475, 31, 204, 268, 927, 64, 2600, 19, 1362, 17, 1246, 19, 1362, 744, 332, 927, 1174, 275, 5872, 424, 329, 2072, 19, 204, 264, 320, 204, 264, 314, 1385, 424, 497, 6057, 510, 204, 264, 424, 289, 1246, 19, 976, 68, 9671, 13, 553, 68, 546, 14, 204, 204, 264, 314, 8414, 275, 424, 204, 264, 424, 19, 3786, 289, 424, 19, 3786, 19, 325, 2022, 23, 1664, 325, 19, 3006, 374, 204, 264, 794, 10284, 3435, 68, 715, 341, 89, 4666, 289, 424, 19, 8751, 64, 21, 31, 25, 17, 435, 1664, 11380, 374, 204, 264, 679, 11976, 68, 715, 341, 89, 4666, 289, 424, 19, 8751, 64, 21, 31, 25, 17, 571, 1664, 11380, 374, 204, 264, 2072, 289, 1246, 19, 1362, 13, 998, 4980, 577, 11976, 2043, 2630, 34, 350, 10284, 3435, 68, 715, 341, 89, 4666, 14, 204, 264, 2072, 19, 1229, 736, 577, 11976, 839, 289, 679, 11976, 68, 715, 341, 89, 4666, 204, 264, 2072, 19, 3786, 289, 2072, 19, 3786, 19, 325, 9128, 27, 1664, 325, 19, 2892, 374, 204, 204, 264, 314, 8414, 424, 204, 264, 424, 289, 424, 19, 5613, 13, 998, 3603, 21, 17, 368, 17, 435, 17, 571, 17, 681, 694, 204, 264, 424, 289, 424, 19, 23899, 13, 15370, 833, 1933, 491, 3138, 34, 22, 14, 204, 264, 300, 347, 4047, 68, 982, 289, 424, 19, 8751, 64, 21, 1664, 11380, 8083, 22, 5853, 204, 264, 424, 289, 424, 19, 5613, 13, 998, 34, 481, 19, 998, 64, 21, 648, 3138, 34, 21, 14, 204, 264, 300, 347, 4047, 68, 982, 289, 2470, 839, 465, 300, 347, 4047, 68, 982, 204, 264, 424, 19, 3786, 289, 300, 347, 4047, 68, 982, 204, 264, 424, 289, 424, 19, 574, 68, 998, 13, 3261, 11456, 204, 264, 424, 19, 998, 19, 417, 289, 379, 1075, 12, 204, 264, 424, 19, 3786, 289, 424, 19, 3786, 19, 325, 9128, 25, 1664, 325, 19, 2892, 374, 204, 204, 264, 407, 424, 17, 2072, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 204, 461, 949, 68, 23435, 68, 416, 68, 4321, 981, 13, 481, 31, 1246, 19, 1362, 17, 2072, 31, 1246, 19, 1362, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 3989, 14827, 329, 25393, 1609, 523, 275, 424, 329, 2072, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 5872, 424, 19, 204, 268, 2072, 322, 2600, 19, 1362, 330, 334, 2072, 19, 204, 204, 264, 475, 31, 204, 268, 1246, 19, 1362, 31, 334, 424, 440, 3392, 14827, 329, 25393, 19, 204, 264, 320, 204, 264, 314, 888, 14827, 329, 25393, 204, 264, 14827, 17, 25393, 289, 7541, 1306, 204, 264, 348, 1112, 17, 1237, 292, 424, 19, 22091, 1293, 204, 268, 10499, 289, 322, 3465, 19, 269, 736, 577, 11976, 491, 14547, 11023, 4524, 68, 18313, 66, 802, 3861, 14, 802, 435, 204, 268, 1864, 68, 772, 289, 645, 19, 1460, 540, 10499, 930, 435, 204, 268, 3351, 289, 1864, 68, 772, 540, 322, 937, 736, 77, 839, 802, 3861, 14, 204, 268, 4815, 289, 5796, 937, 736, 365, 3804, 839, 802, 3861, 14, 540, 32480, 42371, 14, 802, 1864, 68, 772, 204, 268, 4815, 1412, 2072, 19, 269, 736, 577, 11976, 491, 40968, 68, 43123, 8571, 66, 204, 268, 14827, 19, 1223, 13, 6811, 14, 204, 268, 25393, 19, 1223, 13, 14746, 14, 204, 204, 264, 314, 6461, 3392, 14827, 329, 25393, 1025, 275, 424, 204, 264, 424, 19, 5021, 13, 23, 17, 379, 59, 491, 14827, 14, 204, 264, 424, 19, 5021, 13, 24, 17, 379, 53, 491, 25393, 14, 204, 204, 264, 407, 424, 204, 204, 461, 1807, 68, 8283, 15514, 68, 365, 3804, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 38448, 15514, 20, 50, 21785, 11228, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 440, 3392, 14827, 329, 25393, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 329, 3138, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 204, 264, 314, 3045, 275, 424, 204, 264, 11282, 289, 424, 19, 22091, 374, 204, 264, 1237, 289, 1682, 13, 15554, 14, 204, 264, 1513, 19, 1778, 611, 5876, 616, 321, 365, 686, 44445, 15514, 20, 50, 21785, 9, 6924, 4858, 84, 534, 204, 264, 1513, 19, 7127, 611, 50, 21785, 7269, 76, 3920, 534, 204, 264, 1513, 19, 7246, 611, 44445, 15514, 7269, 649, 3920, 534, 204, 264, 348, 906, 292, 933, 13, 1796, 13, 481, 14, 338, 368, 330, 204, 268, 373, 22, 17, 309, 22, 289, 1237, 64, 22, 6690, 77, 2043, 1237, 64, 22, 6690, 365, 3804, 839, 204, 268, 300, 22, 289, 1237, 64, 21, 66, 204, 268, 1237, 289, 1682, 13, 15554, 14, 204, 268, 373, 23, 17, 309, 23, 289, 1237, 64, 22, 6690, 77, 2043, 1237, 64, 22, 6690, 365, 3804, 839, 204, 268, 300, 23, 289, 1237, 64, 21, 66, 204, 268, 19696, 38, 289, 379, 481, 12, 204, 268, 19696, 39, 289, 379, 481, 12, 204, 268, 378, 289, 12121, 35264, 1802, 77, 22, 17, 309, 22, 659, 322, 77, 23, 17, 309, 23, 659, 19696, 38, 17, 19696, 39, 17, 204, 17095, 16561, 4007, 1022, 18, 583, 528, 23300, 38, 34, 26, 17, 23300, 39, 34, 26, 17, 204, 17095, 13680, 68, 3782, 34, 1036, 17, 19224, 1022, 92, 431, 204, 268, 1711, 19, 1657, 1568, 77, 22, 17, 373, 23, 648, 551, 82, 22, 17, 309, 23, 648, 379, 702, 534, 204, 268, 1711, 19, 492, 13, 204, 305, 373, 22, 465, 500, 19, 23, 17, 309, 22, 465, 368, 17, 300, 22, 17, 204, 305, 6329, 19051, 833, 10568, 491, 5954, 19051, 833, 1735, 491, 204, 305, 15398, 34, 1258, 17, 4514, 3374, 833, 14442, 12, 204, 268, 1179, 204, 268, 1711, 19, 826, 68, 12891, 13, 495, 14, 204, 204, 264, 314, 46614, 275, 1807, 204, 264, 1711, 19, 47056, 736, 1633, 3750, 574, 68, 12751, 13, 1975, 14, 204, 264, 1711, 19, 47056, 736, 2723, 3750, 574, 68, 12751, 13, 1975, 14, 204, 204, 264, 314, 3025, 329, 2248, 275, 1807, 204, 264, 1513, 19, 12273, 611, 861, 75, 68, 365, 491, 23491, 34, 7077, 17, 14185, 68, 22520, 833, 14923, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 1807, 68, 20995, 13, 481, 31, 1246, 19, 1362, 14, 393, 443, 31, 204, 264, 320, 204, 264, 15305, 275, 415, 20, 59, 11228, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 440, 3392, 14827, 329, 25393, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 329, 3138, 204, 264, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 204, 264, 314, 3045, 275, 424, 204, 264, 11282, 289, 424, 19, 22091, 374, 204, 264, 1237, 289, 1682, 13, 15554, 14, 204, 264, 1513, 19, 1778, 611, 5876, 616, 321, 365, 686, 53, 20, 59, 9, 6924, 4858, 84, 534, 204, 264, 1513, 19, 7127, 611, 29111, 288, 14584, 5712, 9, 11953, 204, 264, 1513, 19, 7246, 611, 11627, 47819, 14584, 1003, 5373, 26, 98, 82, 67, 24, 9, 11953, 204, 264, 348, 906, 292, 933, 13, 1796, 13, 481, 14, 338, 368, 330, 204, 268, 376, 22, 17, 284, 22, 289, 1237, 64, 22, 6690, 59, 2043, 1237, 64, 22, 6690, 53, 839, 204, 268, 300, 22, 289, 1237, 64, 21, 66, 204, 268, 1237, 289, 1682, 13, 15554, 14, 204, 268, 376, 23, 17, 284, 23, 289, 1237, 64, 22, 6690, 59, 2043, 1237, 64, 22, 6690, 53, 839, 204, 268, 300, 23, 289, 1237, 64, 21, 66, 204, 268, 19696, 38, 289, 379, 481, 12, 204, 268, 19696, 39, 289, 379, 481, 12, 204, 268, 378, 289, 12121, 35264, 1802, 91, 22, 17, 284, 22, 659, 322, 91, 23, 17, 284, 23, 659, 19696, 38, 17, 19696, 39, 17, 204, 17095, 16561, 4007, 1022, 18, 583, 528, 23300, 38, 34, 26, 17, 23300, 39, 34, 26, 17, 204, 17095, 13680, 68, 3782, 34, 1036, 17, 19224, 1022, 92, 431, 204, 268, 1513, 19, 1657, 1568, 91, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 22, 17, 376, 23, 648, 551, 85, 22, 17, 284, 23, 648, 379, 702, 534, 204, 268, 1711, 19, 492, 13, 204, 305, 376, 22, 17, 284, 22, 465, 2153, 17, 300, 22, 2022, 22, 648, 204, 305, 6329, 19051, 833, 10568, 491, 5954, 19051, 833, 1735, 491, 204, 305, 15398, 34, 1258, 17, 4514, 3374, 833, 14442, 12, 204, 268, 1179, 204, 268, 1711, 19, 826, 68, 12891, 13, 495, 14, 204, 204, 264, 314, 46614, 275, 1807, 204, 264, 1711, 19, 47056, 736, 1633, 3750, 574, 68, 12751, 13, 1975, 14, 204, 264, 1711, 19, 47056, 736, 2723, 3750, 574, 68, 12751, 13, 1975, 14, 204, 204, 264, 314, 3025, 329, 2248, 275, 1807, 204, 264, 1513, 19, 12273, 611, 861, 75, 68, 20995, 491, 23491, 34, 7077, 17, 14185, 68, 22520, 833, 14923, 534, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 949, 68, 4670, 13, 481, 31, 1246, 19, 1362, 14, 393, 818, 31, 204, 264, 320, 204, 264, 3989, 275, 1864, 302, 275, 22306, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 2600, 19, 1362, 330, 334, 424, 440, 3392, 14827, 329, 25393, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 1864, 302, 275, 22306, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1864, 302, 275, 22306, 204, 264, 1034, 289, 7041, 13, 481, 19, 269, 736, 41, 491, 379, 59, 839, 338, 424, 19, 269, 736, 38, 491, 379, 59, 2378, 204, 264, 1853, 289, 7041, 13, 481, 19, 269, 736, 39, 491, 379, 53, 839, 338, 424, 19, 269, 736, 38, 491, 379, 53, 2378, 204, 264, 1864, 289, 1034, 540, 1853, 204, 204, 264, 407, 1864, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1385, 329, 3106, 275, 424, 204, 264, 510, 68, 546, 289, 379, 3029, 68, 24, 18, 4041, 68, 25, 19, 14140, 12, 204, 264, 424, 17, 2072, 289, 1137, 68, 416, 68, 5614, 68, 481, 13, 553, 68, 546, 14, 204, 264, 456, 13, 481, 14, 204, 264, 456, 13, 3465, 14, 204, 204, 264, 314, 888, 14827, 329, 25393, 204, 264, 424, 289, 949, 68, 23435, 68, 416, 68, 4321, 981, 13, 481, 17, 2072, 14, 204, 264, 456, 13, 481, 14, 204, 204, 264, 314, 3045, 275, 21608, 204, 264, 1807, 68, 8283, 15514, 68, 365, 3804, 13, 481, 14, 204, 264, 1807, 68, 20995, 13, 481, 14, 204, 204, 264, 314, 888, 275, 1864, 302, 275, 22306, 204, 264, 1864, 289, 949, 68, 4670, 13, 481, 14, 204, 264, 456, 13, 75, 7, 8928, 31, 463, 4670, 98, 871, 431, 204, 204, 264, 314, 1198, 275, 424, 292, 29657, 1883, 204, 264, 456, 13, 481, 19, 633, 68, 31556, 1447, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 315, 204, 3732, 348, 2907, 48896, 396, 7177, 19, 204, 204, 1834, 2413, 3629, 4364, 329, 3263, 348, 2907, 48896, 396, 7177, 19, 204, 3837, 6019, 273, 2522, 348, 14064, 2907, 329, 273, 2013, 496, 10036, 20111, 19, 204, 315, 204, 204, 367, 3228, 2478, 367, 289, 388, 272, 16938, 7014, 3430, 7, 204, 204, 647, 1127, 204, 531, 1498, 532, 1884, 17, 2334, 204, 204, 647, 37749, 19, 16478, 19, 19773, 19, 6964, 204, 531, 2747, 52, 3349, 19, 25212, 2940, 532, 43595, 596, 204, 204, 531, 37749, 532, 4781, 204, 531, 37749, 532, 4510, 204, 531, 37749, 19, 748, 19, 9154, 19, 14213, 532, 2747, 40, 1972, 9384, 204, 204, 8, 968, 17525, 204, 676, 382, 2534, 5215, 3317, 13, 9259, 19, 15190, 330, 204, 264, 320, 204, 264, 1346, 4510, 348, 273, 28867, 850, 19, 204, 264, 320, 204, 264, 1879, 204, 204, 8, 968, 4131, 204, 676, 1736, 17930, 9384, 13, 63, 40, 1972, 9384, 330, 204, 264, 320, 204, 264, 332, 2522, 348, 14064, 2907, 302, 48896, 396, 7177, 19, 204, 204, 264, 1058, 2522, 13401, 275, 379, 75, 9154, 19, 95, 72, 1368, 12, 1586, 510, 19, 204, 264, 320, 204, 264, 436, 589, 924, 889, 327, 14, 393, 443, 31, 204, 268, 2234, 3853, 924, 889, 204, 305, 1127, 19, 546, 19, 1541, 13, 865, 19, 546, 19, 1590, 3843, 553, 4422, 64, 21, 648, 379, 75, 9154, 19, 95, 72, 1368, 2008, 204, 305, 589, 417, 14909, 379, 3543, 17930, 9384, 491, 2512, 68, 37219, 34, 1021, 14, 204, 204, 8, 968, 4364, 204, 37, 9259, 19, 23648, 270, 13, 46, 2534, 5215, 3317, 14, 204, 676, 4657, 5215, 3317, 31, 204, 264, 320, 204, 264, 332, 850, 496, 22987, 275, 382, 2534, 5215, 3317, 4510, 19, 204, 264, 320, 204, 264, 1879, 204, 204, 37, 9259, 19, 23648, 270, 13, 18734, 396, 19, 16478, 19, 19773, 19, 6964, 19, 46, 26876, 18988, 14, 204, 37, 8264, 19, 20003, 13, 9259, 19, 15190, 17, 204, 13429, 37749, 19, 16478, 19, 19773, 19, 6964, 19, 46, 26876, 2862, 14, 204, 676, 43595, 7626, 5809, 3244, 31, 204, 264, 320, 204, 264, 332, 2013, 496, 10036, 273, 9422, 908, 19, 204, 204, 264, 1058, 2013, 353, 1376, 311, 683, 9422, 6886, 292, 48896, 396, 7177, 19, 204, 264, 320, 204, 264, 589, 5293, 68, 1538, 367, 289, 382, 2534, 5215, 3317, 204, 204, 264, 436, 589, 924, 889, 327, 17, 2085, 31, 726, 17, 824, 31, 37749, 19, 16478, 19, 19773, 19, 6964, 19, 46, 26876, 2862, 14, 393, 443, 31, 204, 268, 320, 204, 268, 977, 275, 2013, 19, 204, 204, 268, 1164, 2394, 2085, 31, 334, 2085, 726, 19, 204, 268, 1164, 2394, 824, 31, 334, 5214, 824, 19, 204, 268, 320, 204, 268, 370, 19, 3348, 289, 2085, 204, 268, 370, 19, 1443, 289, 824, 204, 204, 264, 436, 5214, 68, 2305, 13, 327, 17, 540, 1038, 31, 2334, 14, 393, 1884, 64, 5588, 17, 1884, 64, 5588, 17, 38018, 204, 268, 320, 204, 268, 455, 275, 1540, 5214, 2013, 19, 204, 204, 268, 1164, 3309, 31, 332, 927, 1174, 275, 2013, 329, 1163, 1906, 19, 204, 268, 320, 204, 268, 407, 370, 17, 28302, 204, 204, 264, 436, 589, 2960, 889, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5149, 273, 9422, 908, 19, 204, 204, 268, 1164, 11688, 43595, 596, 31, 332, 9422, 908, 440, 273, 11100, 943, 19, 204, 268, 320, 204, 268, 314, 5149, 273, 9422, 908, 440, 273, 11100, 943, 204, 268, 980, 43595, 596, 499, 38, 9422, 3129, 1335, 5539, 275, 824, 1280, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 437, 1014, 302, 275, 43595, 7626, 5809, 3244, 204, 264, 2013, 289, 43595, 7626, 5809, 3244, 13, 3170, 17, 443, 14, 204, 615, 264, 810, 31, 204, 268, 314, 4889, 275, 2013, 204, 268, 2013, 374, 204, 264, 827, 43595, 596, 448, 318, 31, 204, 268, 314, 1426, 275, 9422, 908, 204, 268, 456, 13, 75, 7, 12675, 7797, 908, 31, 463, 74, 743, 204, 0, 647, 1875, 204, 647, 4974, 204, 647, 3259, 78, 470, 23, 19, 19568, 448, 18280, 204, 531, 3259, 23, 49032, 19, 1234, 19, 29751, 532, 2086, 68, 11222, 17, 5082, 266, 68, 11222, 17, 636, 68, 2256, 204, 531, 3259, 23, 49032, 19, 2005, 532, 322, 3143, 68, 11202, 68, 2062, 17, 2399, 68, 668, 68, 2062, 17, 204, 15839, 2399, 68, 48962, 68, 2062, 14, 204, 531, 3259, 23, 49032, 19, 1234, 19, 3978, 532, 22180, 68, 3802, 68, 4415, 17, 636, 68, 2301, 18942, 68, 274, 1980, 17, 22180, 68, 23421, 72, 204, 204, 8, 968, 273, 2363, 1187, 348, 919, 1445, 204, 11927, 68, 4887, 289, 4974, 19, 4203, 13, 553, 68, 779, 533, 34, 1975, 17, 7892, 68, 779, 533, 34, 1021, 17, 2560, 34, 1021, 14, 204, 204, 461, 15802, 68, 1835, 13, 1835, 31, 1135, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 1714, 943, 311, 275, 6474, 440, 1848, 5927, 19, 204, 204, 264, 457, 31, 204, 268, 1714, 322, 873, 330, 332, 955, 1174, 275, 1714, 943, 19, 204, 264, 320, 204, 264, 1007, 289, 1875, 19, 7362, 13, 1835, 14, 204, 264, 314, 1974, 273, 955, 311, 2304, 1714, 311, 1848, 204, 264, 1848, 68, 1608, 289, 463, 204, 268, 379, 718, 597, 379, 747, 491, 204, 268, 379, 5903, 597, 379, 9378, 12, 204, 264, 1211, 204, 264, 1848, 289, 1848, 68, 1608, 19, 505, 13, 1835, 736, 1835, 2043, 379, 17903, 534, 204, 264, 4974, 19, 277, 1595, 13, 1054, 17, 17575, 34, 2640, 17, 9981, 34, 1835, 736, 1835, 839, 564, 379, 718, 534, 204, 204, 37, 4357, 19, 2207, 374, 204, 461, 1610, 374, 393, 443, 31, 204, 264, 320, 673, 1610, 1354, 1627, 1279, 204, 264, 1879, 204, 204, 37, 2125, 19, 2207, 374, 204, 461, 2399, 374, 393, 443, 31, 204, 264, 320, 673, 2399, 1354, 1627, 1279, 204, 264, 1879, 204, 204, 37, 3143, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 11202, 491, 1187, 34, 325, 14, 204, 37, 4357, 19, 2389, 611, 1420, 491, 1187, 34, 11927, 68, 4887, 14, 204, 461, 7677, 13, 11202, 31, 394, 17, 919, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6071, 273, 2399, 348, 275, 800, 7677, 19, 204, 204, 264, 457, 31, 204, 268, 7677, 322, 325, 330, 334, 588, 302, 275, 7677, 19, 204, 268, 919, 322, 325, 330, 334, 919, 1445, 19, 204, 264, 320, 204, 264, 314, 763, 275, 7677, 4000, 329, 7677, 726, 204, 264, 7677, 68, 2754, 289, 18280, 19, 15723, 3313, 374, 204, 264, 7677, 68, 3470, 289, 7677, 68, 2754, 19, 505, 68, 11202, 13, 359, 34, 11202, 14, 204, 264, 314, 2069, 275, 2399, 329, 456, 275, 1714, 204, 264, 348, 1714, 292, 2399, 68, 11202, 68, 2062, 13, 11202, 68, 3470, 17, 919, 330, 204, 268, 15802, 68, 1835, 13, 1835, 14, 204, 204, 37, 3143, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 1420, 491, 1187, 34, 11927, 68, 4887, 14, 204, 461, 5082, 1679, 13, 1420, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6071, 273, 2399, 348, 5082, 18, 266, 19299, 19, 204, 204, 264, 457, 31, 204, 268, 919, 322, 325, 330, 334, 919, 1445, 19, 204, 264, 320, 204, 264, 314, 2069, 275, 2399, 329, 456, 275, 1714, 204, 264, 348, 1714, 292, 2399, 68, 48962, 68, 2062, 13, 1420, 330, 204, 268, 15802, 68, 1835, 13, 1835, 14, 204, 204, 37, 3143, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 1420, 491, 1187, 34, 11927, 68, 4887, 14, 204, 461, 830, 13, 1420, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 6071, 273, 2399, 348, 830, 19299, 19, 204, 204, 264, 457, 31, 204, 268, 919, 322, 325, 330, 334, 919, 1445, 19, 204, 264, 320, 204, 264, 314, 2069, 275, 2399, 329, 456, 275, 1714, 204, 264, 348, 1714, 292, 2399, 68, 668, 68, 2062, 13, 1420, 330, 204, 268, 15802, 68, 1835, 13, 1835, 14, 204, 204, 37, 3143, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 1420, 491, 1187, 34, 11927, 68, 4887, 14, 204, 37, 4357, 19, 5906, 68, 3348, 204, 461, 4394, 13, 11721, 17, 919, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 4394, 348, 275, 800, 919, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 919, 322, 325, 330, 334, 919, 1445, 19, 204, 264, 320, 204, 264, 314, 763, 275, 683, 7677, 329, 28371, 275, 7677, 1354, 204, 264, 683, 68, 11202, 289, 636, 68, 2301, 18942, 68, 274, 1980, 374, 204, 264, 7773, 19, 30081, 13, 11202, 17, 7677, 34, 804, 68, 11202, 19, 359, 17, 919, 34, 1420, 14, 204, 204, 37, 2125, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 11202, 491, 1187, 34, 325, 14, 204, 37, 4357, 19, 2389, 611, 1744, 491, 1187, 34, 325, 14, 204, 37, 4357, 19, 2389, 611, 4599, 491, 1187, 34, 4357, 19, 4203, 13, 553, 68, 779, 533, 34, 1021, 17, 7892, 68, 779, 533, 34, 1975, 17, 204, 30990, 2560, 34, 1021, 602, 204, 461, 1523, 13, 11202, 31, 394, 17, 2086, 31, 394, 17, 3806, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 8209, 275, 800, 2086, 440, 275, 1917, 3806, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19, 204, 204, 264, 457, 31, 204, 268, 7677, 322, 325, 330, 334, 588, 302, 275, 7677, 19, 204, 268, 2086, 322, 325, 330, 334, 588, 302, 275, 2086, 19, 204, 268, 3806, 322, 325, 330, 334, 537, 510, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 1385, 275, 537, 510, 329, 3106, 275, 3806, 204, 268, 440, 1451, 13, 4599, 17, 379, 87, 534, 448, 510, 68, 4103, 31, 204, 305, 954, 289, 3106, 68, 4599, 13, 1775, 19, 986, 13, 553, 68, 4103, 602, 204, 268, 314, 2466, 275, 2086, 204, 268, 397, 7677, 564, 379, 7010, 597, 204, 305, 5082, 266, 68, 11222, 13, 1744, 17, 954, 14, 204, 268, 902, 31, 204, 305, 2086, 68, 11222, 13, 11202, 17, 2086, 17, 954, 14, 204, 264, 827, 3180, 31, 204, 268, 4974, 19, 16137, 13, 75, 7, 596, 31, 334, 510, 3318, 4599, 2867, 1583, 508, 1337, 1280, 204, 264, 827, 1875, 19, 10816, 31, 204, 268, 4974, 19, 16137, 13, 75, 7, 596, 31, 334, 510, 3318, 4599, 2867, 353, 508, 273, 1097, 2084, 510, 1280, 204, 204, 461, 3106, 68, 4599, 13, 4599, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 25027, 275, 3806, 955, 560, 7057, 8557, 33659, 329, 47341, 19, 204, 204, 264, 457, 31, 204, 268, 3806, 322, 873, 330, 334, 537, 955, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 334, 5872, 537, 955, 19, 204, 264, 320, 204, 264, 5872, 289, 2087, 204, 264, 348, 896, 17, 700, 292, 3806, 19, 1996, 1293, 204, 268, 397, 2381, 13, 876, 17, 458, 330, 204, 305, 5872, 64, 644, 66, 289, 3106, 68, 655, 13, 876, 14, 204, 268, 1677, 896, 19, 7209, 13, 49032, 68, 3802, 68, 4415, 13077, 204, 305, 5872, 19, 2045, 13, 5614, 68, 4599, 13, 876, 602, 204, 268, 1677, 2381, 13, 876, 17, 394, 330, 204, 305, 5872, 64, 644, 66, 289, 22180, 68, 23421, 72, 13, 876, 14, 204, 268, 902, 31, 204, 305, 5872, 64, 644, 66, 289, 700, 204, 264, 407, 5872, 204, 204, 461, 3106, 68, 655, 13, 768, 68, 655, 31, 458, 14, 393, 458, 31, 204, 264, 320, 204, 264, 25027, 273, 458, 560, 7057, 443, 1019, 329, 12294, 299, 10756, 3330, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 655, 322, 655, 330, 334, 537, 458, 19, 204, 204, 264, 475, 31, 204, 268, 458, 31, 334, 5872, 458, 19, 204, 264, 320, 204, 264, 5872, 68, 655, 289, 1306, 204, 264, 348, 19990, 292, 537, 68, 655, 31, 204, 268, 397, 2381, 13, 20973, 17, 1135, 330, 204, 305, 5872, 68, 655, 19, 6683, 13, 5614, 68, 4599, 13, 20973, 789, 1309, 1447, 204, 268, 1677, 19990, 353, 508, 443, 31, 204, 305, 5872, 68, 655, 19, 1223, 13, 20973, 14, 204, 264, 407, 5872, 68, 655, 397, 5872, 68, 655, 902, 443, 204, 204, 37, 2125, 19, 2196, 374, 204, 37, 4357, 19, 2389, 611, 11202, 491, 1187, 34, 325, 14, 204, 461, 2585, 13, 11202, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 2585, 302, 275, 800, 7677, 19, 204, 204, 264, 457, 31, 204, 268, 7677, 322, 325, 330, 334, 588, 302, 275, 7677, 19, 204, 264, 320, 204, 264, 456, 13, 75, 1954, 11202, 98, 2585, 463, 505, 68, 2256, 13, 11202, 3835, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 1610, 374, 204, 0, 647, 2821, 204, 647, 2010, 448, 645, 204, 647, 6032, 448, 1774, 204, 531, 6032, 19, 11610, 19, 41004, 6624, 19, 12280, 532, 537, 68, 481, 204, 204, 461, 1137, 68, 12280, 68, 481, 13, 481, 68, 1217, 31, 394, 14, 393, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 31, 204, 264, 320, 204, 264, 1385, 275, 12590, 1485, 19, 204, 204, 264, 457, 31, 204, 264, 424, 68, 1217, 322, 325, 330, 334, 1445, 1273, 275, 12590, 424, 353, 6929, 19, 204, 204, 264, 475, 31, 204, 264, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 31, 334, 3271, 12590, 1485, 19, 204, 264, 320, 204, 264, 407, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 13, 481, 68, 1217, 17, 1051, 68, 5617, 34, 1021, 14, 204, 204, 461, 949, 68, 920, 68, 14352, 13, 481, 68, 835, 31, 421, 17, 2068, 68, 835, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 542, 302, 13455, 1945, 311, 1352, 275, 424, 19, 204, 204, 264, 457, 31, 204, 264, 424, 68, 835, 322, 339, 330, 334, 1302, 302, 275, 424, 19, 204, 264, 2068, 68, 835, 322, 339, 330, 334, 1302, 302, 848, 2068, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 542, 302, 13455, 1945, 19, 204, 264, 320, 204, 264, 407, 2821, 19, 16304, 13, 481, 68, 835, 802, 2068, 68, 835, 14, 204, 204, 461, 3953, 68, 809, 68, 5893, 13, 204, 264, 3666, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 537, 68, 481, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 1769, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 3550, 68, 7673, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 2068, 68, 835, 31, 421, 17, 716, 264, 424, 31, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 204, 14, 393, 818, 31, 204, 264, 320, 204, 264, 4938, 275, 3666, 302, 275, 570, 523, 275, 683, 424, 19, 204, 204, 264, 457, 31, 204, 264, 3666, 68, 3116, 322, 2987, 19, 1556, 330, 334, 3666, 2162, 19, 204, 264, 537, 68, 481, 68, 3116, 322, 2987, 19, 1556, 330, 334, 537, 424, 2162, 19, 204, 264, 1769, 68, 3116, 322, 2987, 19, 1556, 330, 334, 1769, 2162, 19, 204, 264, 3550, 68, 7673, 68, 3116, 322, 2987, 19, 1556, 330, 334, 3550, 2634, 2162, 19, 204, 264, 2068, 68, 835, 322, 339, 330, 334, 1302, 302, 848, 2068, 19, 204, 264, 424, 322, 768, 68, 481, 19, 976, 68, 481, 68, 3604, 330, 334, 12590, 1485, 19, 204, 204, 264, 475, 31, 204, 264, 818, 31, 334, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 2480, 3666, 302, 275, 570, 523, 275, 683, 424, 19, 204, 264, 320, 204, 264, 314, 888, 275, 542, 302, 13455, 204, 264, 771, 68, 14352, 289, 949, 68, 920, 68, 14352, 13, 1796, 13, 481, 19, 804, 19, 2936, 659, 2068, 68, 835, 14, 204, 615, 264, 314, 977, 275, 458, 311, 1640, 275, 3666, 302, 848, 2068, 204, 264, 2068, 68, 27021, 289, 1306, 204, 615, 264, 314, 4938, 275, 570, 523, 848, 2068, 204, 264, 348, 296, 292, 933, 13, 920, 68, 14352, 330, 204, 268, 314, 888, 275, 3124, 329, 3482, 7119, 302, 275, 2068, 204, 268, 3124, 68, 3499, 289, 296, 540, 2068, 68, 835, 204, 268, 3482, 68, 3499, 289, 322, 78, 465, 368, 14, 540, 2068, 68, 835, 397, 296, 962, 771, 68, 14352, 338, 368, 902, 1245, 13, 481, 19, 804, 19, 2936, 14, 204, 822, 268, 314, 666, 275, 4182, 955, 204, 268, 4182, 68, 873, 289, 463, 204, 305, 537, 68, 481, 68, 3116, 31, 424, 19, 804, 19, 2936, 64, 3006, 68, 3499, 31, 5231, 68, 3499, 648, 716, 305, 1769, 68, 3116, 31, 424, 19, 804, 19, 2185, 64, 3006, 68, 3499, 31, 5231, 68, 3499, 648, 716, 305, 3550, 68, 7673, 68, 3116, 31, 368, 19, 21, 204, 268, 1211, 204, 822, 268, 314, 4938, 275, 570, 523, 275, 2068, 204, 268, 2068, 68, 5893, 289, 3666, 68, 3116, 19, 6844, 13, 7571, 68, 873, 34, 7571, 68, 873, 14, 204, 822, 268, 314, 5230, 275, 2068, 3666, 311, 275, 458, 204, 268, 2068, 68, 27021, 19, 1223, 13, 2884, 68, 5893, 14, 204, 615, 264, 314, 888, 275, 2480, 3666, 204, 264, 2480, 68, 5893, 289, 645, 19, 3037, 13, 2884, 68, 27021, 14, 204, 615, 264, 407, 2480, 68, 5893, 204, 204, 461, 838, 68, 809, 13, 768, 68, 481, 68, 3116, 31, 1774, 19, 1556, 17, 3550, 68, 7673, 68, 3116, 31, 1774, 19, 1556, 14, 393, 1774, 19, 1556, 31, 204, 264, 320, 204, 264, 666, 275, 17206, 570, 19, 204, 204, 264, 457, 31, 204, 264, 537, 68, 481, 68, 3116, 322, 2987, 19, 1556, 330, 334, 537, 424, 2162, 19, 204, 264, 3550, 68, 7673, 68, 3116, 322, 2987, 19, 1556, 330, 334, 3550, 2634, 2162, 19, 204, 204, 264, 475, 31, 204, 264, 1774, 19, 1556, 31, 334, 919, 2162, 302, 275, 570, 19, 204, 264, 320, 204, 264, 314, 13600, 275, 537, 424, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 4072, 534, 448, 8995, 31, 204, 268, 3204, 68, 2594, 289, 1774, 19, 6358, 13, 768, 68, 481, 68, 3116, 17, 8308, 22, 17, 4662, 17, 4662, 17, 368, 694, 204, 615, 264, 314, 17816, 2522, 368, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 4575, 22, 534, 448, 8995, 31, 204, 268, 7468, 22, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 4072, 68, 2594, 17, 6981, 34, 1845, 17, 3696, 68, 835, 34, 28, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 268, 7468, 22, 289, 1774, 19, 3814, 19, 2884, 68, 20884, 13, 4575, 22, 14, 204, 268, 7468, 22, 289, 1774, 19, 2606, 19, 5723, 13, 4575, 22, 14, 204, 268, 7468, 22, 289, 1774, 19, 2606, 19, 10149, 13, 4575, 22, 17, 3550, 68, 7673, 68, 3116, 14, 204, 268, 7468, 22, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 4575, 22, 17, 6981, 34, 1845, 17, 3696, 68, 835, 34, 26, 17, 12339, 34, 23, 17, 5204, 833, 30952, 534, 204, 615, 264, 314, 31800, 2254, 435, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 494, 23, 534, 448, 8995, 31, 204, 268, 513, 23, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 4575, 22, 17, 6981, 34, 2177, 17, 3696, 68, 835, 34, 24, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 268, 513, 23, 289, 1774, 19, 3814, 19, 2884, 68, 20884, 13, 494, 23, 14, 204, 268, 513, 23, 289, 1774, 19, 2606, 19, 5723, 13, 494, 23, 14, 204, 268, 513, 23, 289, 1774, 19, 2606, 19, 10149, 13, 494, 23, 17, 3550, 68, 7673, 68, 3116, 14, 204, 268, 513, 23, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 494, 23, 17, 6981, 34, 2562, 17, 3696, 68, 835, 34, 24, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 615, 264, 314, 31800, 2254, 571, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 494, 24, 534, 448, 8995, 31, 204, 268, 513, 24, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 494, 23, 17, 6981, 34, 2562, 17, 3696, 68, 835, 34, 24, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 268, 513, 24, 289, 1774, 19, 3814, 19, 2884, 68, 20884, 13, 494, 24, 14, 204, 268, 513, 24, 289, 1774, 19, 2606, 19, 5723, 13, 494, 24, 14, 204, 268, 513, 24, 289, 1774, 19, 2606, 19, 10149, 13, 494, 24, 17, 3550, 68, 7673, 68, 3116, 14, 204, 268, 513, 24, 289, 1774, 19, 3814, 19, 4575, 23, 73, 13, 494, 24, 17, 6981, 34, 7489, 17, 3696, 68, 835, 34, 24, 17, 12339, 34, 22, 17, 5204, 833, 30952, 534, 204, 615, 264, 314, 3215, 2522, 204, 264, 440, 1774, 19, 3334, 68, 8871, 611, 1420, 534, 448, 8995, 31, 204, 268, 919, 289, 1774, 19, 3814, 19, 12114, 13, 494, 24, 14, 204, 268, 919, 289, 1774, 19, 3814, 19, 13747, 13, 1420, 17, 4099, 34, 5758, 14, 204, 268, 919, 289, 1774, 19, 3814, 19, 2884, 68, 20884, 13, 1420, 14, 204, 268, 919, 289, 1774, 19, 2606, 19, 5723, 13, 1420, 14, 204, 268, 919, 289, 1774, 19, 2606, 19, 10149, 13, 1420, 17, 3550, 68, 7673, 68, 3116, 14, 204, 268, 919, 289, 1774, 19, 3814, 19, 13747, 13, 1420, 17, 4099, 34, 1003, 14, 204, 615, 264, 407, 919, 204, 204, 461, 951, 68, 809, 13, 204, 264, 537, 68, 481, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 1769, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 3550, 68, 7673, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 919, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 68, 3116, 31, 1774, 19, 1556, 17, 716, 264, 424, 31, 537, 68, 481, 19, 976, 68, 481, 68, 3604, 17, 716, 264, 2068, 68, 835, 31, 421, 17, 716, 264, 771, 68, 5749, 31, 421, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 275, 570, 19, 204, 204, 264, 457, 31, 204, 264, 537, 68, 481, 68, 3116, 322, 2987, 19, 1556, 330, 334, 537, 424, 2162, 19, 204, 264, 1769, 68, 3116, 322, 2987, 19, 1556, 330, 334, 1769, 2162, 19, 204, 264, 3550, 68, 7673, 68, 3116, 322, 2987, 19, 1556, 330, 334, 3550, 2634, 2162, 19, 204, 264, 919, 68, 3116, 322, 2987, 19, 1556, 330, 334, 919, 2162, 302, 275, 570, 19, 204, 264, 424, 322, 768, 68, 481, 19, 976, 68, 481, 68, 3604, 330, 334, 12590, 1485, 19, 204, 264, 2068, 68, 835, 322, 339, 330, 334, 1302, 302, 848, 2068, 19, 204, 264, 771, 68, 5749, 322, 339, 330, 334, 542, 302, 6195, 311, 951, 275, 570, 19, 204, 264, 320, 204, 264, 314, 968, 275, 2210, 329, 4209, 204, 264, 2264, 289, 1774, 19, 11659, 68, 3037, 13, 2987, 19, 2606, 19, 11397, 68, 9634, 68, 9450, 68, 2004, 68, 11792, 13, 2185, 34, 2185, 68, 3116, 17, 13102, 34, 1420, 68, 3116, 602, 204, 264, 4209, 289, 1774, 19, 1219, 19, 39607, 13, 22, 74, 18, 25, 789, 25571, 13, 3803, 14, 204, 615, 264, 314, 968, 275, 3666, 5807, 204, 264, 1706, 68, 7381, 289, 1774, 19, 4597, 13, 2987, 19, 11300, 13, 1420, 68, 3116, 17, 368, 659, 1774, 19, 11300, 13, 2185, 68, 3116, 17, 368, 602, 204, 264, 3666, 289, 1774, 19, 11659, 68, 3037, 13, 2987, 19, 4400, 13, 4381, 68, 7381, 17, 1774, 19, 996, 2177, 602, 204, 615, 264, 314, 977, 275, 2558, 204, 264, 5520, 289, 1774, 19, 9462, 68, 668, 68, 5592, 374, 204, 615, 264, 314, 2672, 275, 570, 204, 264, 440, 1774, 19, 5191, 374, 448, 9897, 31, 204, 268, 9897, 19, 1777, 13, 924, 14, 204, 268, 348, 296, 292, 933, 13, 920, 68, 5749, 330, 204, 305, 2068, 68, 93, 17, 2068, 68, 94, 289, 424, 19, 1219, 19, 2715, 68, 2884, 13, 2884, 68, 835, 14, 204, 305, 9897, 19, 1777, 13, 7560, 17, 4182, 68, 873, 2508, 768, 68, 481, 68, 3116, 31, 2068, 68, 93, 17, 1769, 68, 3116, 31, 2068, 68, 94, 17, 3550, 68, 7673, 68, 3116, 31, 500, 19, 26, 1937, 204, 305, 397, 296, 1564, 1607, 564, 500, 31, 204, 485, 2210, 17, 7417, 289, 9897, 19, 1777, 1568, 3803, 17, 3666, 648, 4182, 68, 873, 2508, 768, 68, 481, 68, 3116, 31, 2068, 68, 93, 17, 1769, 68, 3116, 31, 2068, 68, 94, 17, 3550, 68, 7673, 68, 3116, 31, 368, 19, 21, 1937, 204, 485, 456, 13, 78, 17, 2210, 17, 7417, 14, 204, 822, 268, 314, 4938, 275, 570, 523, 275, 683, 424, 204, 268, 683, 68, 5893, 289, 3953, 68, 809, 68, 5893, 13, 5893, 17, 537, 68, 481, 68, 3116, 17, 1769, 68, 3116, 17, 3550, 68, 7673, 68, 3116, 17, 2068, 68, 835, 17, 424, 14, 204, 268, 456, 499, 2346, 3666, 1564, 76, 7, 1564, 683, 68, 5893, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1385, 275, 12590, 1485, 204, 264, 424, 68, 1217, 289, 379, 12280, 68, 481, 12, 204, 264, 424, 289, 1137, 68, 12280, 68, 481, 13, 481, 68, 1217, 14, 204, 615, 264, 314, 968, 275, 537, 329, 919, 10013, 204, 264, 537, 68, 481, 68, 3116, 289, 1774, 19, 8520, 13, 2987, 19, 996, 2177, 17, 551, 3170, 17, 27333, 648, 588, 833, 768, 68, 481, 534, 204, 264, 1769, 68, 3116, 289, 1774, 19, 8520, 13, 2987, 19, 996, 2177, 17, 551, 3170, 17, 931, 648, 588, 833, 2185, 534, 204, 264, 3550, 68, 7673, 68, 3116, 289, 1774, 19, 8520, 13, 2987, 19, 996, 2177, 17, 588, 833, 11472, 68, 7673, 534, 204, 615, 264, 314, 666, 275, 570, 204, 264, 919, 68, 3116, 289, 838, 68, 809, 13, 768, 68, 481, 68, 3116, 17, 3550, 68, 7673, 68, 3116, 14, 204, 615, 264, 314, 2672, 275, 570, 204, 264, 2068, 68, 835, 289, 7569, 204, 264, 771, 68, 5749, 289, 29856, 204, 264, 951, 68, 809, 13, 768, 68, 481, 68, 3116, 17, 1769, 68, 3116, 17, 3550, 68, 7673, 68, 3116, 17, 919, 68, 3116, 17, 424, 17, 2068, 68, 835, 17, 771, 68, 5749, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 1498, 532, 783, 204, 204, 676, 40130, 7279, 20140, 31, 204, 264, 320, 204, 264, 332, 850, 311, 1020, 830, 5687, 302, 10800, 496, 1066, 719, 311, 273, 1029, 700, 19, 204, 264, 320, 204, 204, 264, 436, 1020, 68, 10383, 13, 327, 17, 10800, 31, 783, 64, 339, 648, 1029, 31, 421, 14, 393, 783, 64, 1218, 64, 339, 2440, 204, 268, 320, 204, 268, 475, 830, 5687, 302, 10800, 496, 1066, 719, 311, 275, 1029, 19, 204, 204, 268, 457, 31, 204, 268, 10800, 322, 1218, 64, 339, 1037, 332, 458, 302, 6963, 886, 19, 204, 268, 1029, 322, 339, 330, 334, 1029, 1066, 19, 204, 204, 268, 475, 31, 204, 268, 783, 64, 1218, 64, 339, 2440, 332, 458, 302, 5687, 496, 1066, 719, 311, 275, 1029, 19, 204, 268, 320, 204, 268, 314, 778, 348, 2872, 537, 204, 268, 397, 508, 10800, 521, 1029, 962, 500, 31, 204, 305, 407, 1306, 204, 204, 268, 314, 4641, 275, 10800, 311, 15688, 275, 34611, 1352, 204, 268, 10800, 19, 2975, 374, 204, 204, 268, 314, 977, 275, 722, 458, 204, 268, 722, 289, 1306, 204, 204, 268, 314, 968, 273, 12325, 741, 348, 34611, 204, 268, 436, 29001, 13, 1976, 68, 13302, 31, 783, 64, 339, 648, 1012, 31, 421, 17, 790, 68, 1303, 31, 421, 14, 393, 443, 31, 204, 305, 320, 204, 305, 8276, 22393, 5687, 302, 10800, 496, 1066, 719, 311, 275, 1029, 19, 204, 204, 305, 457, 31, 204, 305, 790, 68, 13302, 322, 1218, 64, 339, 1037, 334, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 790, 5660, 302, 10800, 19, 204, 305, 1012, 322, 339, 330, 334, 4145, 1112, 348, 275, 1682, 6963, 19, 204, 305, 790, 68, 1303, 322, 339, 330, 334, 1066, 302, 275, 790, 5660, 19, 204, 305, 320, 204, 305, 314, 828, 275, 790, 1066, 9329, 275, 1029, 17, 881, 275, 5660, 311, 275, 722, 204, 305, 397, 790, 68, 1303, 564, 1029, 31, 204, 485, 722, 19, 1223, 13, 1976, 68, 13302, 39980, 226, 314, 1974, 458, 16880, 348, 23731, 204, 485, 407, 204, 305, 314, 828, 275, 790, 1066, 10472, 275, 1029, 17, 3506, 22121, 808, 7659, 204, 305, 397, 790, 68, 1303, 1323, 1029, 31, 204, 485, 407, 204, 305, 314, 19947, 830, 2237, 10800, 204, 305, 348, 296, 292, 933, 13, 1530, 17, 1245, 13, 15755, 4019, 204, 485, 314, 1255, 275, 790, 6963, 311, 275, 5660, 329, 1395, 275, 1066, 204, 485, 790, 68, 13302, 19, 1223, 13, 15755, 64, 78, 694, 204, 485, 29001, 13, 1976, 68, 13302, 17, 296, 17, 790, 68, 1303, 465, 10800, 64, 78, 694, 204, 485, 314, 3182, 275, 1673, 4327, 6963, 348, 34611, 204, 485, 790, 68, 13302, 19, 3377, 374, 204, 204, 268, 314, 4055, 275, 34611, 1352, 204, 268, 29001, 26878, 500, 17, 500, 14, 204, 204, 268, 407, 722, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 11355, 289, 40130, 7279, 20140, 374, 204, 264, 456, 13, 16448, 19, 2269, 68, 10383, 1568, 23, 17, 571, 17, 720, 648, 1132, 602, 204, 0, 38, 5411, 12855, 28410, 292, 275, 565, 2385, 3916, 18515, 17, 292, 18358, 44595, 17, 30122, 275, 2688, 884, 88, 6005, 311, 275, 35933, 316, 903, 535, 302, 275, 435, 5857, 27997, 497, 275, 44179, 9272, 5024, 19, 24349, 302, 27997, 2777, 728, 1067, 1924, 12855, 292, 12686, 13298, 18, 75, 38923, 329, 10865, 21119, 17, 329, 19625, 12686, 49128, 311, 3550, 8862, 17, 25825, 275, 5832, 11432, 302, 808, 43463, 16188, 19, 204, 7670, 8448, 74, 48507, 529, 508, 273, 717, 4699, 348, 44595, 17, 329, 275, 3477, 884, 88, 10726, 440, 43329, 27997, 874, 21660, 275, 958, 311, 808, 717, 16188, 19, 204, 837, 275, 1043, 14032, 18, 4947, 321, 5841, 5024, 302, 35223, 17, 1330, 275, 1259, 302, 12820, 6900, 1025, 2545, 17, 3332, 26507, 17, 1207, 14032, 16020, 302, 36105, 6802, 27997, 19, 1607, 17, 1207, 302, 1605, 6900, 311, 44595, 17, 1273, 1250, 874, 24903, 292, 43086, 28814, 7921, 3522, 19, 5424, 15367, 15810, 13019, 9212, 43086, 1714, 17, 1422, 529, 3303, 1182, 1194, 34826, 17, 1207, 43329, 27997, 9882, 440, 275, 5269, 18476, 15927, 599, 329, 23539, 19404, 292, 44595, 19, 1058, 4504, 3332, 931, 10, 302, 275, 5641, 3390, 302, 44595, 19, 204, 1480, 371, 869, 1742, 273, 5362, 4699, 348, 43329, 27997, 329, 348, 44595, 5398, 19, 5424, 1163, 17775, 3390, 302, 1916, 36609, 10641, 4119, 17, 2722, 4430, 560, 273, 2586, 26070, 7546, 1561, 496, 16598, 2347, 4558, 47576, 10401, 2238, 17, 44595, 867, 5570, 9750, 348, 808, 34926, 302, 13627, 387, 9009, 78, 15519, 23764, 48909, 19, 25182, 1082, 5809, 23764, 48909, 292, 43086, 28814, 17, 329, 8386, 299, 830, 4840, 302, 9432, 329, 2519, 10627, 17, 869, 1742, 275, 1259, 884, 88, 958, 311, 808, 9056, 19, 204, 5019, 275, 1729, 690, 17, 275, 43329, 43086, 28814, 18503, 38695, 497, 275, 1259, 292, 33296, 19, 8879, 17633, 17, 44595, 6802, 275, 18682, 348, 275, 415, 2863, 884, 88, 5024, 302, 6838, 44629, 4238, 12820, 19, 18473, 30795, 329, 14667, 17, 275, 3477, 867, 41248, 10867, 560, 9272, 5024, 17, 292, 928, 43329, 24551, 4119, 1466, 21723, 8033, 19, 4682, 275, 5024, 15413, 17, 275, 43329, 28814, 874, 14893, 794, 29886, 20036, 17, 13018, 311, 448, 4362, 12538, 18165, 884, 560, 1910, 4024, 71, 9613, 19, 204, 3837, 353, 1025, 808, 2913, 5291, 2085, 496, 3332, 273, 5857, 44179, 27997, 17, 35361, 299, 275, 44852, 5024, 292, 1017, 3477, 17, 874, 20320, 19381, 19, 10107, 1605, 17, 1168, 4088, 17, 30676, 529, 9882, 440, 10918, 45, 8656, 19, 334, 10726, 302, 275, 10407, 43329, 43086, 16188, 529, 42602, 275, 4024, 71, 9613, 958, 311, 275, 44179, 1051, 19, 334, 4886, 869, 21970, 311, 758, 719, 11836, 28814, 17, 19683, 311, 4554, 27997, 5976, 292, 43125, 35988, 521, 440, 3221, 9172, 329, 9644, 19, 8624, 18189, 4024, 71, 9613, 874, 48589, 292, 311, 6018, 14991, 16987, 329, 11980, 516, 17, 292, 275, 18538, 302, 4886, 329, 1950, 18, 48230, 30943, 19, 27440, 874, 1742, 4935, 1182, 41802, 31, 10407, 808, 2699, 17, 16020, 302, 273, 15400, 292, 18358, 44595, 24364, 1873, 273, 5814, 77, 3033, 44179, 43086, 7004, 17, 523, 275, 678, 492, 496, 273, 44179, 2080, 753, 8479, 273, 18577, 4024, 71, 9613, 1064, 19, 204, 5274, 42609, 14007, 2545, 41248, 10867, 560, 275, 44179, 5024, 19, 8624, 4024, 71, 9613, 2886, 275, 44179, 4886, 17, 1335, 1910, 2886, 1009, 1027, 4751, 275, 24551, 22714, 32, 4024, 71, 9613, 302, 1792, 10641, 9644, 529, 21900, 275, 8906, 311, 9421, 523, 848, 1653, 292, 275, 44179, 5024, 19, 9419, 1182, 1194, 368, 292, 681, 1880, 292, 44595, 529, 27997, 2317, 4116, 391, 640, 17, 23764, 48909, 17, 329, 43329, 27997, 15975, 9882, 292, 29293, 19, 204, 13936, 1194, 4315, 302, 830, 9882, 44179, 27997, 2317, 1182, 1194, 368, 19, 22, 5857, 2317, 529, 2804, 17, 329, 2327, 23673, 302, 1605, 529, 1683, 1598, 19, 332, 5411, 10918, 45, 8656, 2556, 25825, 1017, 903, 535, 19, 5424, 1182, 1194, 4315, 508, 292, 3859, 17, 1622, 70, 7513, 353, 9104, 719, 2900, 273, 13846, 5798, 10559, 8624, 529, 5701, 311, 1225, 32, 1910, 5261, 529, 18827, 329, 33734, 311, 1017, 6759, 302, 21839, 19, 2767, 36211, 529, 794, 638, 20599, 4890, 17, 5289, 497, 1017, 6757, 521, 44285, 336, 19, 13056, 23673, 302, 19588, 9596, 292, 46009, 874, 1236, 5251, 29811, 19, 204, 673, 12479, 16893, 302, 275, 44179, 43086, 16188, 353, 17466, 523, 275, 1880, 329, 16972, 302, 42141, 3584, 2090, 44595, 19, 3139, 1182, 5899, 17, 1901, 292, 6017, 17, 874, 3303, 17228, 440, 275, 10918, 45, 8656, 311, 7264, 2273, 44179, 27997, 17, 1101, 275, 886, 311, 444, 7264, 38800, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 529, 16248, 8551, 440, 275, 3948, 302, 275, 1844, 2317, 6414, 311, 275, 542, 302, 717, 27997, 2589, 970, 3054, 19, 334, 11981, 4886, 869, 284, 1153, 2669, 13205, 4589, 5857, 292, 13887, 311, 3153, 9647, 560, 275, 44179, 9422, 17, 2864, 13205, 4920, 5857, 292, 44595, 17, 1101, 754, 4935, 2942, 5792, 311, 18715, 292, 275, 7264, 42571, 21221, 19, 44144, 74, 1125, 1291, 874, 3250, 523, 275, 11981, 4886, 311, 14444, 1017, 43463, 958, 329, 36123, 273, 21221, 302, 14991, 43463, 31967, 45786, 348, 27997, 292, 1901, 1519, 19, 204, 3534, 2181, 8518, 17, 292, 11639, 41120, 17, 14825, 18564, 3050, 27307, 19583, 311, 5190, 19381, 311, 3332, 931, 17, 1207, 794, 638, 20599, 4890, 2804, 2317, 1901, 302, 1475, 12464, 2317, 497, 42023, 6017, 19, 4222, 18382, 1910, 1784, 874, 10564, 17, 2080, 1250, 1742, 1824, 311, 1017, 28314, 1683, 275, 46482, 19, 11449, 353, 1702, 273, 43463, 30833, 754, 794, 40826, 578, 5319, 36, 4208, 7458, 22714, 311, 27307, 754, 10652, 496, 275, 23501, 7546, 1120, 302, 275, 2688, 884, 88, 30371, 5772, 22419, 618, 770, 1236, 4037, 1194, 7264, 43929, 1598, 17, 1207, 27997, 36, 4208, 14825, 884, 88, 28255, 3511, 302, 11109, 48440, 311, 3153, 17217, 41312, 329, 13619, 3303, 7493, 496, 31, 3511, 36, 204, 3534, 2181, 3522, 275, 39079, 864, 795, 6568, 17, 273, 5857, 44179, 2804, 3303, 3469, 3161, 11660, 292, 265, 698, 329, 4219, 91, 5329, 49086, 17, 5501, 497, 2941, 19, 334, 2688, 30696, 1631, 770, 4037, 19, 0, 658, 3867, 8800, 46217, 5443, 638, 354, 204, 204, 1449, 1895, 273, 2941, 17309, 995, 638, 354, 17, 872, 1120, 1519, 275, 2631, 7186, 31, 204, 18, 887, 23848, 2287, 88, 1548, 23240, 204, 18, 435, 18, 24, 47895, 11710, 4792, 4581, 1025, 887, 8305, 17, 571, 18, 22, 20, 23, 1001, 2482, 204, 18, 2468, 12686, 284, 7113, 28248, 204, 18, 501, 7926, 322, 7602, 18, 3294, 8797, 30522, 16743, 521, 22392, 94, 30522, 14, 204, 204, 1380, 1687, 18, 1424, 18, 6702, 592, 6442, 31, 204, 204, 22, 19, 13883, 1873, 368, 2287, 88, 1548, 9583, 329, 3120, 30522, 523, 1163, 1913, 3469, 17, 4558, 1163, 4835, 1277, 19, 204, 23, 19, 13883, 275, 10045, 302, 275, 47895, 11710, 1450, 23240, 292, 275, 30522, 19, 204, 24, 19, 3291, 30522, 830, 4558, 1051, 3469, 302, 273, 435, 307, 2287, 88, 1548, 9583, 19, 204, 25, 19, 12006, 490, 30522, 1653, 1873, 1048, 275, 10045, 302, 275, 47895, 23240, 17, 36392, 299, 275, 10045, 1283, 275, 435, 2287, 88, 1548, 23240, 19, 204, 26, 19, 387, 9922, 275, 2287, 88, 1548, 23240, 38926, 4430, 329, 2512, 311, 758, 19, 828, 974, 22392, 94, 30522, 17, 11634, 440, 17397, 267, 2184, 1679, 311, 5148, 292, 2481, 19, 204, 27, 19, 13883, 1873, 3161, 2287, 88, 1548, 9583, 329, 3120, 30522, 4558, 1163, 4835, 1277, 19, 204, 28, 19, 12006, 275, 23663, 30528, 995, 638, 354, 523, 1913, 302, 275, 15529, 336, 9583, 17, 12637, 1465, 273, 4315, 16272, 10602, 1283, 275, 28248, 329, 275, 9583, 19, 204, 29, 19, 501, 7926, 3161, 2287, 88, 1548, 9583, 329, 36392, 275, 11710, 4792, 2090, 872, 3756, 2518, 19, 204, 30, 19, 8931, 38926, 322, 403, 974, 22392, 94, 30522, 17, 11634, 440, 17397, 267, 2184, 1679, 311, 5148, 789, 204, 1003, 19, 13883, 1873, 3161, 2287, 88, 1548, 9583, 329, 3120, 30522, 4558, 1163, 4835, 1277, 19, 204, 1641, 19, 12006, 275, 22629, 10045, 302, 275, 11710, 4792, 292, 275, 30522, 19, 204, 1258, 19, 501, 7926, 275, 1673, 2287, 88, 1548, 9583, 329, 2481, 490, 30522, 1653, 1873, 1048, 275, 10045, 17, 36392, 299, 1475, 1283, 275, 970, 2287, 88, 1548, 23240, 19, 204, 2353, 19, 8931, 38926, 329, 3303, 872, 618, 732, 490, 19, 828, 974, 22392, 94, 30522, 17, 34477, 440, 17397, 267, 2184, 1679, 329, 2512, 490, 311, 8408, 348, 273, 4542, 3658, 19, 204, 204, 1380, 13702, 657, 31, 204, 5009, 618, 1895, 273, 5658, 995, 638, 354, 974, 5658, 16922, 23240, 329, 23848, 28248, 19, 1974, 1169, 1848, 5660, 872, 2090, 19, 204, 204, 1380, 27795, 31, 204, 18, 25723, 618, 3532, 275, 28248, 329, 2481, 275, 23240, 292, 2481, 17, 1101, 437, 6986, 1856, 2906, 275, 8797, 30522, 16743, 19, 204, 18, 1058, 2002, 618, 444, 1376, 311, 17886, 2481, 700, 329, 311, 770, 3277, 4998, 329, 11043, 2900, 974, 22042, 19, 0, 8, 21523, 560, 5959, 435, 19, 22, 19, 28, 523, 12568, 18, 5559, 18, 4343, 38159, 31, 5091, 204, 204, 531, 1907, 19, 1479, 532, 6447, 17, 1094, 204, 204, 676, 666, 31484, 1655, 13, 12571, 19, 11267, 330, 204, 264, 320, 204, 264, 2605, 273, 717, 570, 348, 27180, 440, 273, 2220, 588, 329, 5247, 4521, 19, 204, 204, 264, 1058, 5420, 353, 10742, 523, 275, 379, 37543, 68, 4881, 68, 8131, 33646, 28, 68, 2314, 3268, 12, 5420, 292, 275, 379, 33576, 12, 740, 19, 204, 264, 320, 204, 204, 264, 6127, 289, 551, 204, 268, 314, 38424, 523, 275, 3090, 5420, 292, 275, 379, 33576, 12, 740, 204, 268, 2448, 33576, 491, 379, 37543, 68, 4881, 68, 8131, 33646, 28, 68, 2314, 3268, 2008, 204, 264, 2437, 204, 204, 264, 2758, 289, 551, 204, 268, 314, 666, 273, 717, 570, 348, 27180, 204, 268, 6447, 19, 19471, 13, 204, 305, 588, 833, 31484, 491, 204, 305, 2357, 3603, 204, 485, 314, 12859, 18, 42724, 4408, 896, 204, 485, 2448, 359, 491, 1094, 19, 13918, 13, 4881, 68, 5903, 34, 1021, 17, 4408, 68, 644, 34, 1021, 17, 10508, 34, 1975, 17, 2874, 68, 417, 833, 1701, 7567, 204, 485, 314, 6581, 588, 348, 275, 8845, 204, 485, 2448, 417, 491, 1094, 19, 2580, 13, 1129, 68, 1205, 34, 7489, 17, 2220, 34, 1021, 3917, 204, 485, 314, 15811, 348, 1330, 275, 8845, 867, 1966, 204, 485, 2448, 5903, 68, 269, 491, 1094, 19, 6602, 13, 4881, 68, 1520, 68, 826, 34, 1021, 3917, 204, 305, 7241, 204, 305, 2914, 2508, 204, 485, 314, 12310, 18, 13821, 588, 348, 275, 570, 204, 485, 379, 7952, 68, 417, 597, 379, 31484, 491, 204, 485, 314, 12310, 18, 13821, 18221, 588, 348, 275, 570, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 485, 379, 7952, 68, 417, 68, 9875, 597, 379, 31484, 88, 491, 204, 485, 314, 1210, 10772, 348, 275, 570, 322, 1957, 742, 1043, 14, 204, 485, 379, 25554, 597, 29690, 5903, 68, 269, 2043, 204, 305, 4752, 204, 268, 5334, 204, 264, 2437, 204, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 4071, 575, 537, 329, 2584, 490, 448, 273, 782, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 537, 741, 311, 636, 575, 537, 204, 264, 407, 537, 13, 4202, 14, 204, 204, 461, 4036, 68, 1031, 68, 47663, 13, 768, 68, 1031, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 24206, 275, 537, 782, 974, 16880, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 322, 325, 330, 334, 782, 311, 444, 7563, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 7563, 782, 19, 204, 264, 320, 204, 264, 314, 1974, 16880, 311, 4036, 275, 782, 17, 928, 353, 273, 15497, 329, 6184, 3979, 204, 264, 407, 537, 68, 1031, 12658, 22, 66, 204, 204, 461, 4036, 68, 1031, 68, 26628, 13, 768, 68, 1031, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 24206, 275, 537, 782, 974, 6491, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 322, 325, 330, 334, 782, 311, 444, 7563, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 7563, 782, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 782, 311, 1640, 275, 7563, 782, 204, 264, 7563, 68, 1031, 289, 3026, 204, 264, 314, 1861, 1048, 275, 537, 782, 292, 4036, 1552, 204, 264, 348, 1125, 292, 7563, 13, 768, 68, 1031, 330, 204, 268, 314, 5230, 848, 1943, 311, 275, 7563, 782, 204, 268, 7563, 68, 1031, 1412, 1125, 204, 264, 314, 455, 275, 7563, 782, 204, 264, 407, 7563, 68, 1031, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12609, 275, 2548, 677, 5156, 19, 204, 264, 320, 204, 264, 314, 763, 575, 537, 204, 264, 537, 68, 1031, 289, 636, 68, 816, 68, 768, 499, 2101, 273, 782, 31, 2810, 204, 264, 314, 13801, 275, 782, 974, 16880, 329, 6491, 204, 264, 7563, 68, 1031, 68, 47663, 289, 4036, 68, 1031, 68, 47663, 13, 768, 68, 1031, 14, 204, 264, 7563, 68, 1031, 68, 26628, 289, 4036, 68, 1031, 68, 26628, 13, 768, 68, 1031, 14, 204, 264, 314, 1198, 275, 1563, 204, 264, 456, 13, 75, 7, 9562, 782, 31, 463, 768, 68, 1031, 743, 204, 264, 456, 13, 75, 7, 31151, 782, 322, 47663, 330, 463, 15611, 68, 1031, 68, 47663, 743, 204, 264, 456, 13, 75, 7, 31151, 782, 322, 26628, 330, 463, 15611, 68, 1031, 68, 26628, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 4889, 275, 667, 741, 204, 264, 667, 374, 204, 0, 18672, 9554, 329, 2175, 13463, 204, 204, 2841, 529, 970, 3779, 311, 19476, 31, 204, 204, 22, 19, 469, 289, 681, 19, 3268, 1845, 93, 67, 21, 19, 25, 5645, 22, 204, 1449, 2616, 348, 610, 17, 3281, 1855, 2902, 560, 681, 19, 3268, 1845, 31, 226, 204, 94, 802, 681, 19, 3268, 1845, 289, 610, 67, 21, 19, 25, 5645, 22, 204, 9538, 17, 3074, 275, 368, 20, 21, 19, 25, 5645, 22, 1610, 302, 1855, 2902, 31, 204, 93, 289, 322, 94, 802, 681, 19, 3268, 1845, 13791, 22, 20, 21, 19, 25, 5645, 22, 14, 204, 204, 23, 19, 469, 289, 1233, 19, 8667, 2132, 6685, 13, 93, 14, 338, 1233, 19, 8667, 4088, 204, 1449, 2616, 348, 610, 17, 881, 1233, 19, 8667, 4088, 311, 1855, 2902, 31, 204, 94, 465, 1233, 19, 8667, 4088, 289, 1233, 19, 8667, 2132, 6685, 13, 93, 14, 204, 9538, 17, 3281, 1855, 2902, 560, 1233, 19, 8667, 2132, 31, 204, 13, 94, 465, 1233, 19, 8667, 4088, 14, 802, 1233, 19, 8667, 2132, 289, 10363, 13, 93, 14, 204, 18226, 17, 3074, 275, 9662, 302, 1855, 2902, 31, 204, 93, 289, 318, 67, 1802, 94, 465, 1233, 19, 8667, 4088, 14, 802, 1233, 19, 8667, 2132, 14, 204, 204, 1449, 6767, 275, 26769, 1581, 348, 275, 1350, 1581, 17, 2249, 677, 732, 437, 1763, 19, 828, 610, 289, 10516, 17, 1675, 469, 6753, 5254, 19, 3894, 4023, 19, 19151, 808, 700, 302, 469, 1025, 275, 26769, 1581, 31, 204, 93, 289, 318, 67, 1802, 4343, 19, 3894, 4023, 465, 1233, 19, 8667, 4088, 14, 802, 1233, 19, 8667, 2132, 14, 204, 93, 6753, 318, 67, 1802, 4462, 19, 38535, 27, 14, 802, 1233, 19, 8667, 2132, 14, 204, 93, 6753, 318, 67, 24, 19, 29, 6913, 204, 93, 6753, 7332, 19, 41226, 6753, 10516, 204, 204, 1834, 5913, 496, 275, 26769, 1581, 353, 6414, 311, 275, 2171, 1051, 19, 0, 647, 3056, 204, 647, 2454, 204, 204, 461, 1137, 68, 19710, 68, 7485, 13, 553, 68, 417, 31, 394, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 1385, 17223, 5594, 497, 273, 510, 1025, 273, 955, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 510, 1174, 17223, 5594, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 332, 955, 302, 17223, 5594, 17, 1273, 848, 896, 353, 273, 4064, 588, 329, 848, 700, 353, 273, 458, 302, 2493, 1019, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 955, 311, 1640, 17223, 5594, 204, 264, 26358, 68, 7485, 289, 2087, 204, 615, 264, 810, 31, 204, 268, 314, 3594, 275, 510, 292, 1151, 2291, 204, 268, 440, 1451, 13, 553, 68, 417, 17, 388, 87, 431, 448, 510, 68, 4103, 31, 204, 305, 314, 1861, 1048, 848, 1007, 292, 275, 510, 204, 305, 348, 1007, 292, 510, 68, 4103, 31, 204, 485, 314, 3736, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 275, 1007, 1025, 7876, 204, 485, 2901, 289, 1007, 19, 1590, 374, 204, 485, 314, 6993, 275, 17223, 2493, 292, 275, 955, 204, 485, 26358, 68, 7485, 64, 325, 13, 4320, 64, 21, 12670, 3006, 6485, 289, 2901, 204, 264, 827, 3180, 31, 204, 268, 456, 13, 75, 7, 2597, 463, 553, 68, 417, 98, 508, 1193, 1280, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 615, 264, 407, 26358, 68, 7485, 204, 204, 461, 636, 68, 2723, 68, 2201, 68, 5051, 68, 2923, 13, 19710, 68, 7485, 31, 1135, 14, 393, 394, 31, 204, 264, 320, 204, 264, 763, 275, 1913, 18, 2201, 4064, 1981, 497, 275, 17223, 5594, 19, 204, 204, 264, 457, 31, 204, 268, 26358, 68, 7485, 322, 873, 330, 332, 955, 302, 17223, 5594, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 1913, 18, 2201, 4064, 1981, 19, 204, 264, 320, 204, 264, 314, 1861, 1048, 275, 17223, 5594, 311, 1020, 275, 1913, 18, 2201, 4064, 1981, 204, 264, 348, 896, 17, 700, 292, 26358, 68, 7485, 19, 1996, 1293, 204, 268, 397, 700, 64, 23, 66, 564, 379, 7596, 597, 204, 305, 407, 896, 204, 264, 314, 455, 443, 397, 1236, 1913, 18, 2201, 4064, 1981, 353, 1193, 204, 264, 407, 443, 204, 204, 461, 2811, 68, 19710, 68, 13715, 13, 5051, 68, 417, 31, 394, 17, 26358, 68, 7485, 31, 1135, 17, 1913, 68, 2201, 68, 5051, 68, 2923, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 3055, 273, 17223, 11936, 348, 273, 800, 4064, 588, 19, 204, 204, 264, 457, 31, 204, 268, 4064, 68, 417, 322, 325, 330, 334, 4064, 588, 311, 2909, 719, 19, 204, 268, 26358, 68, 7485, 322, 873, 330, 332, 955, 302, 17223, 5594, 19, 204, 268, 1913, 68, 2201, 68, 5051, 68, 2923, 322, 325, 330, 334, 1913, 18, 2201, 4064, 1981, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 722, 302, 275, 17223, 11936, 19, 204, 264, 320, 204, 264, 314, 2208, 275, 4064, 588, 311, 9236, 204, 264, 896, 289, 394, 13, 5051, 68, 417, 789, 3006, 374, 204, 264, 314, 778, 397, 275, 4064, 588, 353, 292, 275, 17223, 5594, 204, 264, 397, 896, 292, 26358, 68, 7485, 31, 204, 268, 314, 455, 275, 17223, 2493, 348, 275, 4064, 588, 204, 268, 407, 283, 1954, 644, 98, 463, 19710, 68, 7485, 64, 644, 1799, 22, 7916, 463, 19710, 68, 7485, 64, 644, 1799, 23, 25718, 204, 264, 902, 31, 204, 268, 314, 455, 275, 1913, 18, 2201, 4064, 1981, 397, 275, 4064, 588, 353, 508, 1193, 204, 268, 407, 283, 1954, 2723, 68, 2201, 68, 5051, 68, 2923, 98, 463, 19710, 68, 7485, 64, 2723, 68, 2201, 68, 5051, 68, 2923, 1799, 22, 7916, 463, 19710, 68, 7485, 64, 2723, 68, 2201, 68, 5051, 68, 2923, 1799, 23, 25718, 204, 204, 461, 1012, 68, 19710, 68, 2923, 13, 898, 31, 421, 17, 26358, 68, 7485, 31, 1135, 17, 1913, 68, 2201, 68, 5051, 68, 2923, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4055, 275, 17223, 1981, 19, 204, 204, 264, 457, 31, 204, 268, 2054, 322, 339, 330, 334, 2054, 542, 311, 12441, 523, 19, 204, 268, 26358, 68, 7485, 322, 873, 330, 332, 955, 302, 17223, 5594, 19, 204, 268, 1913, 68, 2201, 68, 5051, 68, 2923, 322, 325, 330, 334, 1913, 18, 2201, 4064, 1981, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 666, 273, 3056, 726, 204, 268, 1981, 68, 2794, 289, 3056, 19, 2794, 13, 2794, 19, 10059, 68, 15961, 17, 3056, 19, 15071, 68, 17651, 14, 204, 268, 314, 19221, 275, 3056, 311, 275, 1713, 2054, 204, 268, 1981, 68, 2794, 19, 8357, 13, 14945, 2054, 602, 204, 268, 314, 25455, 348, 7348, 7369, 204, 268, 1981, 68, 2794, 19, 14632, 13, 26, 14, 204, 268, 456, 13, 75, 15394, 56, 744, 10541, 6911, 523, 2054, 463, 898, 743, 204, 822, 268, 1335, 959, 31, 204, 305, 314, 21132, 437, 7348, 1727, 204, 305, 1545, 68, 2794, 17, 1995, 289, 1981, 68, 2794, 19, 11130, 374, 204, 305, 456, 13, 75, 15394, 56, 744, 37715, 273, 1727, 824, 497, 463, 2820, 743, 204, 305, 314, 12154, 424, 497, 275, 1545, 204, 305, 424, 289, 1545, 68, 2794, 19, 12383, 13, 2825, 14, 204, 305, 397, 508, 424, 31, 204, 485, 2280, 204, 305, 314, 12210, 275, 5445, 424, 204, 305, 4064, 68, 417, 289, 424, 19, 5286, 611, 3102, 18, 29, 3930, 2892, 374, 204, 305, 456, 13, 75, 15394, 56, 744, 9939, 3050, 4064, 588, 31, 463, 5051, 68, 417, 743, 204, 305, 314, 3055, 273, 17223, 11936, 204, 305, 722, 289, 2811, 68, 19710, 68, 13715, 13, 5051, 68, 417, 17, 26358, 68, 7485, 17, 1913, 68, 2201, 68, 5051, 68, 2923, 14, 204, 305, 314, 2878, 275, 722, 1818, 311, 275, 1545, 204, 305, 1545, 68, 2794, 19, 3345, 13, 1300, 19, 4170, 611, 3102, 18, 29, 3063, 204, 305, 456, 13, 75, 15394, 56, 744, 15718, 722, 31, 463, 1300, 743, 204, 264, 827, 16797, 31, 204, 268, 314, 5706, 275, 3056, 1330, 275, 1981, 353, 14418, 204, 268, 1981, 68, 2794, 19, 3529, 374, 204, 268, 456, 20501, 56, 744, 10541, 14418, 431, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 17223, 1981, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1706, 542, 302, 1354, 18, 1054, 1906, 353, 1917, 204, 264, 397, 1245, 13, 4807, 19, 4983, 14, 2167, 435, 31, 204, 268, 456, 499, 12534, 31, 5415, 26358, 68, 2923, 19, 948, 962, 898, 12962, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 615, 264, 314, 763, 275, 2054, 542, 497, 275, 1354, 18, 1054, 4601, 204, 264, 2054, 289, 421, 13, 4807, 19, 4983, 64, 22, 694, 204, 264, 314, 1385, 275, 17223, 5594, 497, 275, 510, 204, 264, 26358, 68, 7485, 289, 1137, 68, 19710, 68, 7485, 499, 6014, 40869, 18, 31611, 14841, 19, 3039, 431, 204, 264, 314, 763, 275, 1913, 18, 2201, 4064, 1981, 204, 264, 1913, 68, 2201, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 68, 5051, 68, 2923, 289, 636, 68, 2723, 68, 2201, 68, 5051, 68, 2923, 13, 19710, 68, 7485, 14, 204, 615, 264, 314, 778, 397, 275, 1913, 18, 2201, 4064, 1981, 353, 1193, 204, 264, 397, 1913, 68, 2201, 68, 5051, 68, 2923, 353, 443, 31, 204, 268, 456, 499, 11889, 18, 2201, 4064, 1981, 508, 1193, 1280, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 615, 264, 314, 4055, 275, 17223, 1981, 204, 264, 1012, 68, 19710, 68, 2923, 13, 898, 17, 26358, 68, 7485, 17, 1913, 68, 2201, 68, 5051, 68, 2923, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 3805, 448, 1246, 204, 204, 461, 11564, 68, 416, 68, 4072, 68, 481, 13, 204, 264, 2139, 68, 553, 68, 546, 31, 394, 17, 716, 264, 6610, 68, 553, 68, 546, 31, 394, 17, 716, 264, 5212, 68, 835, 31, 421, 204, 14, 393, 443, 31, 204, 264, 320, 204, 264, 27066, 329, 3204, 424, 560, 18445, 794, 20556, 2630, 17, 22697, 2648, 4364, 17, 329, 43191, 1769, 19, 204, 204, 264, 457, 31, 204, 268, 2139, 68, 553, 68, 546, 322, 325, 330, 2621, 311, 275, 2139, 2306, 510, 19, 204, 268, 6610, 68, 553, 68, 546, 322, 325, 330, 2621, 311, 275, 6610, 2306, 510, 19, 204, 268, 5212, 68, 835, 322, 339, 330, 41018, 1302, 348, 4488, 275, 2306, 510, 19, 204, 204, 264, 475, 31, 204, 268, 443, 204, 264, 320, 204, 204, 264, 314, 968, 3454, 204, 264, 10918, 60, 2313, 13973, 68, 28490, 289, 551, 204, 268, 379, 15555, 68, 1538, 68, 350, 22778, 491, 716, 268, 379, 18775, 68, 1015, 70, 491, 716, 268, 379, 18775, 68, 21639, 68, 2141, 491, 716, 268, 379, 18775, 68, 19655, 44777, 491, 716, 268, 379, 2873, 491, 204, 268, 379, 278, 17676, 68, 266, 68, 15515, 68, 5145, 68, 2391, 39033, 491, 716, 268, 379, 11393, 68, 38237, 68, 1181, 491, 716, 268, 379, 11393, 68, 25938, 68, 1181, 491, 204, 268, 379, 73, 68, 37647, 68, 13212, 68, 9529, 491, 716, 268, 379, 5716, 68, 6008, 22338, 68, 91, 2972, 291, 68, 4159, 491, 716, 268, 379, 17988, 68, 276, 68, 327, 68, 40119, 12, 204, 264, 2437, 204, 204, 264, 314, 968, 5798, 1870, 4707, 204, 264, 471, 11186, 40, 4380, 68, 15140, 68, 23565, 289, 463, 204, 268, 379, 14220, 597, 551, 204, 305, 379, 24918, 491, 716, 305, 379, 1641, 427, 5686, 491, 716, 305, 379, 28, 427, 329, 1132, 427, 5686, 491, 716, 305, 379, 1003, 427, 5686, 491, 716, 305, 379, 22, 274, 435, 307, 571, 10988, 521, 681, 427, 5686, 491, 716, 305, 379, 30, 427, 5686, 491, 716, 305, 379, 26, 427, 521, 887, 427, 5686, 491, 716, 305, 379, 1258, 427, 5686, 1236, 43661, 491, 716, 305, 379, 32718, 1194, 368, 274, 5686, 12, 204, 268, 7241, 204, 268, 379, 2288, 68, 14220, 597, 551, 204, 305, 379, 8390, 10692, 1101, 1236, 5746, 491, 716, 305, 379, 17170, 3859, 23779, 12, 204, 268, 7241, 204, 268, 379, 35770, 597, 551, 204, 305, 379, 39, 38591, 1288, 5746, 13, 11595, 5219, 565, 56, 11938, 716, 305, 379, 28760, 675, 5746, 18, 16560, 802, 35748, 1872, 491, 716, 305, 379, 28760, 675, 5746, 18, 38661, 4432, 2548, 12, 204, 268, 7241, 204, 268, 379, 29061, 597, 551, 204, 305, 379, 50, 24800, 5746, 13, 2097, 20802, 502, 9197, 502, 7202, 502, 18240, 502, 11595, 11938, 716, 305, 379, 45394, 316, 5746, 13, 6674, 41, 6742, 41, 11938, 716, 305, 379, 25544, 3859, 5746, 322, 12688, 412, 7257, 412, 20431, 38960, 39, 871, 41, 15795, 204, 268, 2437, 204, 264, 1211, 204, 204, 264, 314, 1606, 2306, 510, 292, 12268, 204, 264, 5212, 68, 1190, 289, 500, 204, 264, 348, 5212, 292, 1246, 19, 976, 68, 2039, 13, 204, 268, 2139, 68, 553, 68, 546, 17, 716, 268, 5212, 835, 34, 8307, 68, 835, 17, 716, 268, 12376, 68, 1309, 4980, 22919, 379, 5478, 491, 379, 5478, 7537, 43940, 7537, 379, 2438, 491, 379, 10377, 839, 204, 264, 16330, 204, 268, 314, 9738, 794, 20556, 2630, 204, 268, 5212, 19, 5613, 13, 6217, 60, 2313, 13973, 68, 28490, 17, 3138, 34, 22, 17, 15371, 34, 1021, 17, 2744, 833, 12286, 534, 204, 204, 268, 314, 6885, 2648, 4364, 204, 268, 5212, 736, 25808, 839, 289, 5212, 736, 25808, 3750, 6774, 13, 204, 305, 4464, 610, 31, 1682, 13, 204, 485, 322, 2201, 348, 1870, 17, 1019, 292, 471, 11186, 40, 4380, 68, 15140, 68, 23565, 19, 1996, 374, 397, 610, 292, 1019, 659, 716, 485, 610, 204, 305, 1179, 204, 268, 1179, 204, 204, 268, 314, 27066, 1769, 204, 268, 5212, 736, 14188, 68, 2201, 839, 289, 5212, 736, 14188, 68, 2201, 3750, 6774, 13, 3605, 610, 31, 379, 21, 12, 397, 610, 564, 6159, 43911, 12, 902, 379, 22, 534, 204, 204, 268, 314, 3025, 5212, 311, 6610, 510, 204, 268, 397, 5212, 68, 1190, 564, 500, 31, 204, 305, 5212, 19, 633, 68, 2039, 13, 14231, 68, 553, 68, 546, 17, 1112, 34, 1975, 14, 204, 268, 902, 31, 204, 305, 5212, 19, 633, 68, 2039, 13, 14231, 68, 553, 68, 546, 17, 3494, 34, 3170, 17, 1112, 34, 1975, 17, 2291, 833, 70, 534, 204, 268, 5212, 68, 1190, 1412, 368, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 2139, 68, 553, 68, 546, 289, 388, 3112, 19, 2039, 7, 204, 264, 6610, 68, 553, 68, 546, 289, 388, 14231, 19, 2039, 7, 204, 264, 5212, 68, 835, 289, 3861, 204, 264, 11564, 68, 416, 68, 4072, 68, 481, 13, 3112, 68, 553, 68, 546, 17, 6610, 68, 553, 68, 546, 17, 5212, 68, 835, 14, 204, 0, 1449, 1814, 18131, 5869, 1025, 4112, 17, 572, 732, 275, 5818, 2479, 31, 368, 2699, 289, 681, 5049, 4734, 19, 22, 4112, 19, 204, 204, 2310, 618, 758, 719, 273, 5945, 311, 949, 275, 722, 31, 204, 22, 813, 8473, 681, 5049, 4734, 19, 22, 1006, 204, 14362, 813, 8473, 313, 13, 885, 14, 204, 204, 1449, 2616, 348, 313, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13, 885, 659, 572, 4122, 18131, 560, 275, 5818, 2479, 31, 204, 57, 13, 885, 14, 289, 18131, 813, 2771, 681, 5049, 4734, 19, 22, 1006, 204, 57, 13, 885, 14, 289, 7332, 31766, 2188, 19, 22, 1006, 204, 204, 4356, 17, 18131, 5869, 353, 6414, 311, 7332, 31766, 2188, 19, 22, 4112, 19, 716, 204, 11892, 17, 572, 618, 1425, 949, 808, 974, 275, 2089, 348, 5818, 31, 204, 57, 13, 885, 14, 289, 18131, 2771, 681, 5049, 4734, 19, 22, 204, 8023, 289, 7332, 31766, 2188, 19, 22, 1006, 204, 204, 2551, 17, 18131, 5869, 289, 7332, 31766, 2188, 19, 22, 4112, 19, 0, 461, 1151, 68, 1663, 13, 3173, 31, 421, 17, 10426, 31, 421, 14, 393, 458, 64, 655, 64, 339, 2440, 204, 264, 320, 204, 264, 4143, 273, 1525, 497, 275, 6474, 19, 204, 204, 264, 457, 31, 204, 268, 3015, 322, 339, 330, 334, 542, 302, 3015, 292, 275, 1525, 19, 204, 268, 10426, 322, 339, 330, 334, 542, 302, 2630, 292, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 655, 64, 339, 2440, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 542, 302, 1842, 292, 273, 1237, 1583, 508, 2216, 275, 542, 302, 2630, 19, 204, 264, 320, 204, 264, 314, 977, 437, 1392, 1525, 204, 264, 1525, 289, 1306, 204, 615, 264, 314, 1606, 848, 1237, 497, 275, 6474, 204, 264, 348, 906, 292, 933, 13, 3173, 330, 204, 268, 314, 1606, 273, 1237, 329, 3404, 490, 1025, 1842, 204, 268, 1237, 289, 537, 13, 75, 7, 2101, 1237, 463, 68, 465, 368, 98, 322, 2816, 18, 7996, 1892, 330, 2810, 204, 268, 1237, 68, 3337, 289, 551, 339, 13, 1849, 14, 348, 1103, 292, 1237, 19, 1590, 6485, 204, 822, 268, 314, 778, 397, 275, 542, 302, 1842, 292, 275, 1237, 4083, 275, 542, 302, 2630, 204, 268, 397, 1245, 13, 937, 68, 3337, 14, 2167, 10426, 31, 204, 305, 980, 987, 13, 75, 7, 11741, 463, 6103, 98, 1842, 292, 275, 1237, 17, 1101, 7550, 463, 1796, 13, 937, 68, 3337, 3835, 204, 822, 268, 314, 1255, 275, 1237, 311, 275, 1525, 204, 268, 1525, 19, 1223, 13, 937, 68, 3337, 14, 204, 615, 264, 407, 1525, 204, 204, 204, 461, 949, 68, 1663, 68, 1303, 13, 1663, 31, 458, 64, 655, 64, 339, 4097, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1066, 302, 830, 1842, 292, 275, 1525, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1066, 302, 830, 1842, 292, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 1974, 273, 4651, 2231, 311, 949, 275, 1066, 302, 830, 1842, 292, 275, 1525, 204, 264, 407, 1066, 13, 1303, 13, 937, 14, 348, 1237, 292, 1525, 14, 204, 204, 204, 461, 456, 68, 1663, 68, 2826, 13, 1663, 31, 458, 64, 655, 64, 339, 4395, 1113, 68, 1303, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 275, 1525, 329, 275, 1066, 302, 1163, 1842, 19, 204, 204, 264, 457, 31, 204, 268, 1525, 322, 655, 64, 655, 64, 339, 3795, 332, 435, 41, 458, 2457, 275, 1525, 19, 204, 268, 1113, 68, 1303, 322, 339, 330, 334, 1066, 302, 830, 1842, 292, 275, 1525, 19, 204, 264, 320, 204, 264, 314, 1198, 275, 1066, 302, 830, 1525, 1842, 204, 264, 456, 13, 75, 7, 7279, 302, 830, 1525, 1842, 31, 463, 2609, 68, 1303, 743, 204, 615, 264, 314, 1198, 275, 1525, 204, 264, 456, 499, 11767, 2212, 204, 264, 348, 1237, 292, 1525, 31, 204, 268, 456, 13, 937, 14, 204, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 4143, 273, 1525, 497, 275, 6474, 17, 9111, 275, 1066, 302, 1163, 1842, 17, 329, 5538, 275, 1563, 19, 204, 264, 320, 204, 264, 314, 1606, 275, 1525, 7539, 497, 275, 6474, 204, 264, 1335, 959, 31, 204, 268, 810, 31, 204, 305, 3015, 17, 10426, 289, 551, 339, 13, 1849, 14, 348, 1103, 292, 537, 499, 2101, 1525, 7539, 322, 3173, 17, 10426, 330, 6165, 1590, 9086, 379, 2395, 204, 305, 397, 3015, 2186, 500, 521, 10426, 2186, 500, 31, 204, 485, 456, 499, 11767, 7539, 1631, 444, 2140, 1892, 1280, 204, 485, 3524, 204, 305, 2280, 204, 268, 827, 987, 31, 204, 305, 456, 499, 1962, 537, 19, 2982, 2064, 970, 2140, 1892, 5289, 560, 273, 12937, 1280, 204, 615, 264, 314, 1606, 275, 1525, 497, 275, 6474, 204, 264, 810, 31, 204, 268, 1525, 289, 1151, 68, 1663, 13, 3173, 17, 10426, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 268, 407, 204, 615, 264, 314, 888, 275, 1066, 302, 830, 1525, 1842, 204, 264, 1113, 68, 1303, 289, 949, 68, 1663, 68, 1303, 13, 1663, 14, 204, 615, 264, 314, 1198, 275, 1563, 204, 264, 456, 68, 1663, 68, 2826, 13, 1663, 17, 1113, 68, 1303, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 647, 8729, 204, 647, 17373, 204, 647, 1361, 204, 647, 1127, 204, 531, 1498, 532, 2334, 17, 783, 204, 204, 461, 5345, 68, 5010, 68, 6792, 13, 748, 31, 2334, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1865, 2363, 5453, 560, 23173, 830, 4847, 19283, 1683, 275, 12770, 1354, 7887, 19, 204, 204, 264, 457, 31, 204, 268, 740, 31, 334, 1650, 1014, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 275, 379, 20591, 68, 31260, 12, 521, 379, 8558, 68, 4887, 12, 1586, 353, 4520, 19, 204, 264, 320, 204, 264, 314, 763, 275, 458, 302, 1354, 7887, 497, 275, 740, 677, 1586, 204, 264, 1354, 68, 9895, 289, 740, 19, 1087, 19, 505, 611, 20591, 68, 31260, 534, 204, 264, 397, 508, 1354, 68, 9895, 31, 204, 268, 980, 987, 499, 14344, 379, 20591, 68, 31260, 12, 1586, 431, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 264, 314, 763, 275, 1034, 1445, 497, 275, 740, 677, 1586, 204, 264, 1034, 68, 1217, 289, 740, 19, 1087, 19, 505, 611, 8558, 68, 4887, 534, 204, 264, 397, 508, 1034, 68, 1217, 31, 204, 268, 980, 987, 499, 14344, 379, 8558, 68, 4887, 12, 1586, 431, 204, 204, 264, 314, 6676, 5453, 497, 830, 4847, 19283, 1683, 848, 1354, 1445, 204, 264, 348, 1445, 68, 546, 292, 1354, 68, 9895, 31, 204, 268, 4080, 68, 6792, 68, 531, 68, 2100, 13, 748, 17, 1127, 19, 546, 19, 1541, 13, 772, 68, 1217, 17, 1445, 68, 546, 602, 204, 204, 204, 461, 1020, 68, 5207, 68, 5154, 68, 3880, 13, 2100, 68, 546, 31, 394, 14, 393, 783, 64, 325, 744, 204, 264, 320, 204, 264, 6746, 830, 4847, 3467, 3630, 1683, 275, 800, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 1445, 68, 546, 31, 334, 832, 311, 275, 1445, 311, 1813, 19, 204, 204, 264, 475, 31, 204, 268, 332, 458, 302, 4847, 3467, 3630, 19, 204, 264, 320, 204, 264, 314, 1974, 8729, 311, 1020, 830, 4847, 19283, 14395, 1683, 275, 1445, 204, 264, 407, 8729, 19, 10944, 13, 865, 19, 546, 19, 1541, 13, 2100, 68, 546, 17, 379, 777, 491, 33840, 948, 2008, 9611, 34, 1021, 14, 204, 204, 204, 461, 4080, 68, 6792, 13, 748, 31, 2334, 17, 3467, 68, 3880, 31, 783, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 19795, 5453, 497, 275, 800, 3467, 3630, 19, 204, 204, 264, 457, 31, 204, 268, 740, 31, 334, 1650, 1014, 19, 204, 268, 3467, 68, 3880, 31, 332, 458, 302, 4847, 3467, 3630, 19, 204, 204, 264, 22165, 31, 204, 268, 1058, 741, 18654, 848, 3467, 329, 9321, 1163, 740, 2207, 311, 275, 740, 677, 14857, 19, 204, 264, 320, 204, 264, 314, 6676, 5453, 497, 848, 3467, 204, 264, 348, 3467, 68, 546, 292, 3467, 68, 3880, 31, 204, 268, 314, 2069, 275, 532, 832, 497, 275, 3467, 832, 204, 268, 588, 17, 906, 289, 1127, 19, 546, 19, 17752, 13, 865, 19, 546, 19, 47409, 13, 5154, 68, 546, 17, 1012, 34, 865, 19, 14702, 5887, 204, 268, 588, 289, 588, 19, 3834, 13, 865, 19, 16228, 17, 44313, 204, 204, 268, 314, 2175, 275, 6718, 4809, 204, 268, 740, 19, 3342, 19, 4561, 13, 75, 12, 17614, 299, 1354, 497, 463, 417, 3501, 204, 204, 268, 810, 31, 204, 305, 314, 4390, 275, 3467, 329, 881, 1163, 740, 2207, 311, 275, 740, 677, 14857, 204, 305, 2413, 289, 17373, 19, 647, 68, 3909, 13, 417, 14, 204, 305, 740, 19, 7076, 19, 826, 68, 2196, 13, 3909, 19, 748, 2207, 14, 204, 268, 827, 16581, 448, 318, 31, 204, 305, 314, 2175, 275, 532, 908, 204, 305, 740, 19, 3342, 19, 718, 13, 75, 12, 3504, 311, 532, 463, 417, 2829, 463, 74, 3501, 204, 268, 827, 13289, 448, 318, 31, 204, 305, 314, 2175, 275, 3929, 908, 204, 305, 740, 19, 3342, 19, 718, 13, 75, 12, 3504, 311, 4080, 1354, 497, 463, 417, 2829, 463, 74, 3501, 204, 204, 204, 461, 4080, 68, 6792, 68, 531, 68, 2100, 13, 748, 31, 2334, 17, 1445, 68, 546, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 19795, 5453, 497, 830, 4847, 19283, 1683, 275, 800, 1445, 19, 204, 204, 264, 457, 31, 204, 268, 740, 31, 334, 1650, 1014, 19, 204, 268, 1445, 68, 546, 31, 334, 832, 311, 275, 1445, 311, 1813, 19, 204, 264, 320, 204, 264, 314, 1752, 830, 4847, 3467, 3630, 1683, 275, 1445, 204, 264, 3467, 68, 3880, 289, 1020, 68, 5207, 68, 5154, 68, 3880, 13, 2100, 68, 546, 14, 204, 204, 264, 314, 6676, 5453, 497, 275, 3467, 3630, 204, 264, 4080, 68, 6792, 13, 748, 17, 3467, 68, 3880, 14, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 666, 273, 2082, 204, 264, 2082, 289, 1361, 19, 6095, 3843, 417, 4422, 204, 264, 2082, 19, 12419, 13, 3247, 19, 9281, 14, 204, 204, 264, 314, 666, 273, 6474, 4713, 329, 758, 275, 1361, 1870, 311, 21706, 204, 264, 4713, 289, 1361, 19, 20311, 374, 204, 264, 4713, 19, 12419, 13, 3247, 19, 9281, 14, 204, 204, 264, 314, 666, 273, 12919, 329, 9380, 490, 311, 275, 4713, 204, 264, 12919, 289, 1361, 19, 9807, 28492, 8592, 14, 88, 338, 4993, 417, 14, 88, 338, 4993, 8579, 14, 88, 338, 4993, 1454, 14, 88, 534, 204, 264, 4713, 19, 18870, 13, 13416, 14, 204, 204, 264, 314, 1255, 275, 4713, 311, 275, 2082, 204, 264, 2082, 19, 17061, 13, 4075, 14, 204, 204, 264, 314, 666, 437, 1650, 1014, 322, 3834, 440, 1214, 2641, 1650, 1014, 14, 204, 264, 850, 1736, 31, 204, 268, 436, 589, 924, 889, 327, 330, 204, 305, 370, 19, 1087, 289, 463, 204, 485, 379, 20591, 68, 31260, 597, 2470, 6792, 2043, 204, 485, 379, 8558, 68, 4887, 597, 1127, 19, 14702, 374, 204, 305, 1211, 204, 305, 370, 19, 3342, 289, 2082, 204, 305, 370, 19, 7076, 289, 443, 204, 204, 268, 436, 881, 68, 2196, 13, 327, 17, 1354, 330, 204, 305, 314, 4546, 440, 1214, 2641, 1354, 6718, 3975, 204, 305, 1879, 204, 204, 264, 740, 289, 1736, 374, 204, 204, 264, 314, 977, 2363, 5453, 204, 264, 5345, 68, 5010, 68, 6792, 13, 748, 14, 204, 0, 647, 2010, 448, 645, 204, 647, 4378, 19, 5380, 448, 1513, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 417, 31, 394, 14, 393, 927, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 273, 2010, 12028, 510, 19, 204, 204, 264, 457, 31, 204, 268, 510, 68, 417, 322, 325, 330, 334, 588, 302, 275, 2010, 12028, 510, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 537, 424, 322, 61, 659, 2311, 700, 322, 61, 68, 885, 659, 1646, 700, 322, 61, 68, 1129, 659, 542, 302, 424, 1728, 322, 61, 68, 83, 659, 329, 1029, 1019, 322, 57, 789, 204, 264, 320, 204, 264, 424, 289, 645, 19, 986, 13, 553, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 610, 64, 1123, 19, 75, 2272, 13, 2307, 13, 83, 659, 724, 14, 564, 296, 66, 204, 268, 265, 68, 804, 289, 265, 64, 1123, 19, 75, 2272, 13, 2307, 13, 83, 659, 724, 14, 564, 296, 66, 204, 268, 3093, 289, 4185, 68, 15248, 68, 20243, 68, 2539, 13, 93, 68, 1219, 17, 265, 68, 1219, 17, 771, 68, 20243, 68, 8396, 14, 204, 268, 20046, 68, 1219, 64, 78, 66, 289, 1869, 68, 8899, 68, 718, 68, 15248, 68, 20243, 68, 2539, 13, 93, 68, 1219, 17, 265, 68, 1219, 17, 3093, 17, 771, 68, 20243, 68, 8396, 14, 204, 268, 20046, 68, 804, 64, 78, 66, 289, 1869, 68, 8899, 68, 718, 68, 15248, 68, 20243, 68, 2539, 13, 93, 68, 804, 17, 265, 68, 804, 17, 3093, 17, 771, 68, 20243, 68, 8396, 14, 204, 264, 407, 20046, 68, 1219, 17, 20046, 68, 804, 204, 204, 461, 1807, 68, 15248, 68, 20243, 68, 2539, 68, 2826, 13, 50, 31, 645, 19, 766, 17, 1869, 68, 44, 17116, 68, 1219, 31, 645, 19, 766, 17, 1869, 68, 44, 17116, 68, 804, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 3045, 275, 1563, 302, 275, 7875, 7032, 741, 570, 19, 204, 204, 264, 457, 31, 204, 268, 502, 322, 1123, 19, 766, 330, 334, 542, 302, 7032, 3263, 19, 204, 268, 1869, 68, 44, 17116, 68, 1219, 322, 1123, 19, 766, 330, 334, 1869, 8030, 2744, 348, 275, 1737, 3416, 19, 204, 268, 1869, 68, 44, 17116, 68, 804, 322, 1123, 19, 766, 330, 334, 1869, 8030, 2744, 348, 275, 683, 3416, 19, 204, 264, 320, 204, 264, 1513, 19, 7208, 13, 11390, 3644, 25, 17, 571, 602, 204, 264, 1513, 19, 1657, 13, 50, 17, 1869, 68, 44, 17116, 68, 1219, 17, 8973, 833, 84, 491, 24961, 833, 25545, 1848, 833, 80, 491, 8973, 5242, 2640, 833, 92, 491, 1800, 833, 5135, 534, 204, 264, 1513, 19, 1657, 13, 50, 17, 1869, 68, 44, 17116, 68, 804, 17, 8973, 833, 84, 491, 24961, 833, 25545, 1848, 833, 37735, 24107, 6267, 491, 8973, 5242, 2640, 833, 8683, 491, 1800, 833, 804, 534, 204, 264, 1513, 19, 9042, 13, 1229, 833, 5231, 1824, 491, 15398, 34, 1003, 14, 204, 264, 1513, 19, 18222, 13, 21, 17, 1199, 14, 204, 264, 1513, 19, 2700, 13, 1021, 14, 204, 264, 1513, 19, 2896, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1385, 424, 204, 264, 1504, 17, 1504, 68, 885, 17, 1504, 68, 1129, 17, 1504, 68, 83, 17, 313, 289, 1137, 68, 481, 611, 366, 24, 68, 481, 19, 28360, 534, 204, 204, 264, 314, 968, 11848, 204, 264, 502, 289, 645, 19, 8268, 13, 23, 17, 1132, 14, 226, 314, 3239, 302, 7032, 3263, 204, 264, 1144, 289, 2247, 226, 314, 3239, 302, 21629, 204, 204, 264, 314, 977, 6946, 311, 1640, 1869, 8030, 2744, 204, 264, 46051, 68, 44, 17116, 68, 1219, 289, 645, 19, 4324, 1802, 48, 17, 1245, 13, 50, 3694, 204, 264, 46051, 68, 44, 17116, 68, 804, 289, 645, 19, 4324, 1802, 48, 17, 1245, 13, 50, 3694, 204, 204, 264, 314, 3055, 724, 18, 7951, 4393, 18, 6877, 204, 264, 348, 296, 292, 933, 13, 1796, 13, 50, 4019, 204, 268, 46051, 68, 44, 17116, 68, 1219, 3460, 296, 648, 46051, 68, 44, 17116, 68, 804, 3460, 296, 66, 289, 724, 68, 7951, 68, 15248, 68, 20243, 68, 2539, 13, 61, 17, 313, 17, 502, 64, 78, 648, 1144, 14, 204, 204, 264, 314, 3963, 1869, 8030, 2744, 204, 264, 1869, 68, 44, 17116, 68, 1219, 289, 645, 19, 2514, 13, 1123, 19, 3037, 13, 40, 91, 68, 44, 17116, 68, 1219, 17, 3138, 34, 21, 602, 204, 264, 1869, 68, 44, 17116, 68, 804, 289, 645, 19, 2514, 13, 1123, 19, 3037, 13, 40, 91, 68, 44, 17116, 68, 804, 17, 3138, 34, 21, 602, 204, 204, 264, 314, 3045, 1563, 204, 264, 1807, 68, 15248, 68, 20243, 68, 2539, 68, 2826, 13, 50, 17, 1869, 68, 44, 17116, 68, 1219, 17, 1869, 68, 44, 17116, 68, 804, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 658, 5248, 7500, 204, 204, 14378, 830, 1534, 5687, 302, 686, 70, 67, 71, 9, 348, 686, 23, 688, 9484, 273, 688, 9484, 1607, 9, 329, 686, 23, 688, 9484, 308, 688, 9484, 1607, 2176, 828, 1250, 529, 1675, 8210, 292, 8247, 1552, 17, 440, 1169, 24879, 5748, 17, 1662, 1910, 7656, 3099, 529, 292, 275, 1767, 36, 204, 204, 658, 1687, 18, 1424, 18, 6702, 5696, 204, 204, 1449, 2616, 808, 1844, 17, 572, 618, 732, 273, 28375, 2955, 3979, 560, 21284, 1048, 830, 2237, 5687, 302, 686, 70, 9, 329, 686, 71, 9, 329, 8397, 686, 70, 67, 71, 2176, 1785, 1120, 1640, 275, 1563, 292, 273, 3599, 329, 3142, 1169, 9991, 19, 204, 204, 22, 19, 977, 437, 1392, 3599, 311, 1640, 275, 1563, 19, 204, 23, 19, 1861, 1048, 830, 2237, 1019, 302, 686, 70, 9, 497, 435, 311, 1607, 19, 204, 24, 19, 1765, 848, 700, 302, 686, 70, 2543, 13767, 1048, 830, 2237, 1019, 302, 686, 71, 9, 497, 435, 311, 1607, 19, 204, 25, 19, 888, 686, 70, 67, 71, 9, 329, 881, 490, 311, 275, 3599, 19, 204, 26, 19, 3182, 1169, 9991, 497, 275, 3599, 19, 204, 27, 19, 3398, 275, 542, 302, 7656, 3099, 292, 275, 3599, 19, 204, 204, 658, 15591, 204, 204, 2310, 618, 732, 275, 2631, 3372, 311, 949, 275, 542, 302, 7656, 3099, 31, 204, 204, 15, 977, 273, 758, 311, 1640, 275, 7656, 3099, 19, 204, 15, 1861, 1048, 830, 2237, 5687, 302, 686, 70, 9, 329, 686, 71, 2176, 204, 15, 888, 686, 70, 67, 71, 9, 329, 881, 490, 311, 275, 758, 19, 204, 15, 4682, 3416, 15551, 3142, 9991, 17, 275, 1302, 302, 275, 758, 1120, 444, 275, 542, 302, 7656, 3099, 19, 204, 204, 658, 1165, 1974, 11846, 204, 204, 3070, 1763, 17, 1330, 686, 70, 289, 435, 9, 329, 686, 71, 289, 435, 2543, 686, 70, 67, 71, 289, 435, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 67, 23, 289, 681, 2176, 4168, 686, 70, 289, 435, 9, 329, 686, 71, 289, 571, 2543, 686, 70, 67, 71, 289, 435, 67, 24, 289, 1132, 2176, 1785, 3524, 808, 1352, 348, 830, 2237, 5687, 302, 686, 70, 9, 329, 686, 71, 2176, 204, 204, 658, 10622, 12375, 204, 204, 8395, 8397, 830, 2237, 5687, 302, 686, 70, 67, 71, 9, 329, 7057, 9991, 17, 572, 1020, 496, 1422, 529, 1233, 2132, 7656, 3099, 292, 275, 1767, 19, 0, 647, 7693, 204, 647, 3092, 11092, 204, 647, 304, 204, 531, 284, 3409, 19, 1996, 532, 415, 3409, 4307, 204, 531, 7124, 19, 1703, 532, 794, 11843, 204, 204, 676, 415, 3409, 13109, 13, 14569, 19, 13109, 330, 204, 264, 320, 204, 264, 332, 21679, 8917, 348, 20259, 424, 497, 18386, 85, 3409, 19, 1453, 19, 204, 264, 320, 204, 264, 588, 289, 379, 53, 3409, 13109, 12, 204, 264, 4675, 68, 14250, 289, 2470, 8389, 85, 3409, 19, 1453, 839, 204, 264, 1012, 68, 3968, 289, 2470, 3189, 1963, 8389, 85, 3409, 19, 1453, 20, 91, 19, 18737, 839, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 320, 204, 268, 977, 275, 8917, 440, 275, 20508, 1576, 19, 204, 268, 320, 204, 268, 440, 1451, 4195, 2125, 20, 82, 19, 11092, 491, 379, 87, 491, 4051, 833, 20231, 18, 29, 534, 448, 510, 31, 204, 305, 370, 19, 11092, 68, 1181, 289, 510, 19, 976, 374, 204, 268, 370, 19, 3348, 289, 3092, 11092, 19, 7354, 13, 327, 19, 11092, 68, 1181, 14, 204, 204, 264, 436, 2252, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 2735, 275, 667, 1472, 329, 4353, 2164, 348, 3509, 2752, 6214, 19, 204, 268, 320, 204, 268, 314, 1986, 2752, 5444, 497, 275, 667, 1472, 204, 268, 2752, 68, 7037, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 937, 38072, 2952, 7771, 676, 1022, 937, 13929, 2952, 1654, 70, 30336, 9919, 3930, 39461, 374, 204, 268, 348, 1977, 292, 2752, 68, 7037, 31, 204, 305, 4353, 7693, 19, 2862, 13, 805, 34, 2850, 17, 5176, 34, 327, 19, 1703, 68, 4814, 68, 1270, 14, 204, 204, 268, 314, 7000, 2164, 348, 22646, 6214, 204, 268, 348, 1472, 68, 1190, 292, 933, 13, 23, 17, 10729, 3701, 330, 204, 305, 22646, 68, 805, 289, 370, 19, 1530, 68, 3968, 64, 21, 66, 465, 43940, 11, 2225, 2508, 14271, 2478, 13, 325, 13, 2225, 68, 1190, 602, 204, 305, 4353, 7693, 19, 2862, 13, 805, 34, 46022, 68, 805, 17, 5176, 34, 327, 19, 1703, 14, 204, 204, 264, 436, 2252, 68, 4814, 68, 1270, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 2735, 273, 2752, 1472, 329, 1967, 6826, 1483, 19, 204, 268, 320, 204, 268, 1184, 289, 415, 3409, 4307, 374, 204, 268, 1184, 736, 805, 839, 289, 958, 19, 1443, 19, 805, 204, 268, 1184, 736, 1778, 839, 289, 370, 19, 5184, 68, 1778, 13, 1935, 14, 204, 268, 1184, 736, 826, 68, 834, 839, 289, 370, 19, 5184, 68, 826, 68, 834, 13, 1935, 14, 204, 268, 1184, 736, 7083, 839, 289, 370, 19, 5184, 68, 7083, 13, 1935, 14, 204, 268, 1184, 736, 4280, 839, 289, 370, 19, 5184, 68, 4280, 13, 1935, 14, 204, 268, 1184, 736, 1454, 839, 289, 370, 19, 5184, 68, 1454, 13, 1935, 14, 204, 268, 1184, 736, 15806, 839, 289, 370, 19, 5184, 68, 15806, 13, 1935, 14, 204, 268, 1184, 736, 4995, 839, 289, 370, 19, 5184, 68, 4995, 13, 1935, 14, 204, 268, 1184, 736, 1772, 4995, 839, 289, 370, 19, 5184, 68, 1772, 4995, 13, 1935, 14, 204, 268, 1184, 736, 4020, 839, 289, 370, 19, 5184, 68, 4020, 68, 1270, 13, 1935, 14, 204, 268, 1184, 736, 4814, 68, 805, 839, 289, 370, 19, 5184, 68, 4814, 68, 805, 13, 1935, 14, 204, 268, 4353, 1184, 204, 204, 264, 436, 1967, 68, 1778, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 1724, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 407, 958, 19, 8022, 17528, 2952, 7771, 359, 1022, 91, 591, 369, 2588, 10895, 22, 8098, 77, 25, 20, 492, 24098, 505, 1528, 2892, 374, 204, 204, 264, 436, 1967, 68, 826, 68, 834, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 881, 690, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 407, 958, 19, 8022, 17528, 7630, 7771, 676, 1022, 1778, 18, 94, 934, 7387, 13929, 492, 24098, 505, 374, 204, 204, 264, 436, 1967, 68, 4814, 68, 1270, 68, 1309, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 2752, 3986, 1019, 497, 275, 958, 19, 204, 268, 320, 204, 268, 407, 958, 19, 8022, 17528, 7630, 7771, 676, 1022, 4814, 18, 1270, 18, 7630, 13929, 492, 24098, 39461, 374, 204, 204, 264, 436, 1967, 68, 7083, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 5401, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2752, 68, 1270, 289, 370, 19, 5184, 68, 4814, 68, 1270, 68, 1309, 13, 1935, 14, 204, 268, 407, 2752, 68, 1270, 64, 21, 66, 204, 204, 264, 436, 1967, 68, 4280, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 5020, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2752, 68, 1270, 289, 370, 19, 5184, 68, 4814, 68, 1270, 68, 1309, 13, 1935, 14, 204, 268, 407, 2752, 68, 1270, 64, 22, 66, 204, 204, 264, 436, 1967, 68, 1454, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 943, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2752, 68, 1270, 289, 370, 19, 5184, 68, 4814, 68, 1270, 68, 1309, 13, 1935, 14, 204, 268, 407, 2752, 68, 1270, 64, 23, 66, 204, 204, 264, 436, 1967, 68, 15806, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 5495, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2752, 68, 1270, 289, 370, 19, 5184, 68, 4814, 68, 1270, 68, 1309, 13, 1935, 14, 204, 268, 407, 2752, 68, 1270, 64, 24, 66, 204, 204, 264, 436, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1967, 68, 4995, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 2090, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 9148, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 5951, 13929, 492, 24098, 39461, 374, 204, 268, 407, 9148, 64, 21, 66, 204, 204, 264, 436, 1967, 68, 1772, 4995, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 47036, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 9148, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 5951, 13929, 492, 24098, 39461, 374, 204, 268, 407, 9148, 64, 22, 66, 204, 204, 264, 436, 1967, 68, 4020, 68, 1270, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 2799, 1483, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 2799, 68, 1270, 289, 1306, 204, 268, 3986, 289, 958, 19, 8022, 17528, 2952, 7771, 359, 1022, 91, 591, 369, 2588, 18, 2387, 13929, 7630, 3930, 505, 374, 204, 268, 2799, 289, 958, 19, 8022, 17528, 7630, 7771, 676, 1022, 1778, 13929, 492, 24098, 505, 374, 204, 268, 32919, 289, 304, 19, 12624, 13, 87, 12, 23050, 31, 3453, 73, 16, 11938, 3986, 5604, 21, 66, 204, 268, 4080, 289, 304, 19, 12624, 13, 87, 12, 11398, 24082, 9371, 2426, 11938, 3986, 5604, 21, 66, 204, 268, 12989, 289, 304, 19, 12624, 13, 87, 16716, 70, 12712, 1022, 12587, 9714, 19, 18737, 17865, 10091, 3453, 73, 22126, 5421, 70, 12560, 3986, 5604, 21, 66, 204, 268, 2799, 68, 1270, 19, 1223, 2930, 204, 305, 379, 4020, 597, 2799, 17, 204, 305, 379, 75, 640, 597, 32919, 17, 204, 305, 379, 4216, 68, 834, 597, 4080, 17, 204, 305, 379, 7488, 68, 4814, 597, 12989, 204, 268, 7084, 204, 268, 407, 2799, 68, 1270, 204, 204, 264, 436, 1967, 68, 4814, 68, 805, 13, 327, 17, 958, 330, 204, 268, 320, 204, 268, 1986, 275, 2752, 1274, 302, 275, 2752, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 1986, 6093, 2752, 1274, 204, 305, 9694, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 4814, 18, 8806, 1339, 3930, 272, 13, 87, 10497, 8223, 19, 2206, 37609, 274, 1268, 1181, 65, 1802, 17865, 6239, 27920, 9520, 21, 1664, 1590, 16327, 204, 305, 394, 22, 289, 9694, 64, 21, 1664, 2892, 611, 32796, 204, 305, 394, 23, 289, 9694, 64, 22, 1664, 2892, 611, 32796, 204, 305, 394, 24, 289, 9694, 64, 23, 1664, 2892, 611, 32796, 204, 305, 722, 289, 370, 19, 3348, 19, 2960, 499, 274, 1268, 1181, 528, 394, 22, 17, 394, 23, 17, 394, 24, 14, 204, 305, 407, 304, 19, 12624, 13, 87, 7, 6422, 833, 13, 3189, 1963, 17865, 15795, 528, 722, 5604, 21, 66, 204, 268, 827, 9394, 31, 204, 305, 314, 1986, 6093, 2752, 1274, 322, 32809, 1216, 14, 204, 305, 9694, 289, 958, 19, 8022, 17528, 2952, 7771, 676, 1022, 4814, 18, 8806, 1339, 3930, 272, 13, 87, 10497, 8223, 19, 2206, 37609, 274, 1268, 1181, 23, 65, 1802, 17865, 6239, 27920, 9520, 21, 66, 204, 305, 407, 304, 19, 12624, 13, 87, 7, 6422, 833, 13, 3189, 1963, 17865, 15795, 528, 794, 11843, 13, 4170, 22491, 21, 66, 204, 0, 1380, 12819, 275, 3239, 28663, 4386, 18473, 7609, 8587, 204, 204, 1449, 1020, 275, 542, 41983, 1283, 970, 886, 17, 572, 618, 732, 273, 542, 1007, 329, 2909, 348, 275, 542, 496, 353, 275, 1729, 1759, 497, 1855, 275, 7830, 329, 9801, 886, 19, 204, 204, 3971, 9134, 31, 204, 204, 22, 19, 930, 39913, 3382, 329, 6787, 1416, 334, 542, 41983, 1283, 3382, 329, 6787, 353, 9806, 17, 2404, 9806, 353, 720, 4099, 5501, 497, 3382, 329, 720, 4099, 5501, 497, 6787, 19, 204, 204, 23, 19, 930, 39913, 435, 17, 1207, 329, 571, 17, 1207, 1416, 334, 542, 41983, 1283, 435, 17, 1207, 329, 571, 17, 1207, 353, 435, 17, 4589, 17, 2404, 435, 17, 4589, 353, 5106, 4099, 5501, 497, 435, 17, 1207, 329, 5106, 4099, 5501, 497, 571, 17, 1207, 19, 204, 204, 24, 19, 930, 39913, 17372, 329, 368, 17, 1207, 1416, 334, 542, 41983, 1283, 17372, 329, 368, 17, 1207, 353, 1233, 1719, 17, 2404, 1233, 1719, 353, 2753, 4099, 5501, 497, 17372, 329, 2753, 4099, 5501, 497, 368, 17, 1207, 19, 204, 204, 25, 19, 930, 39913, 571, 17, 7077, 329, 571, 17, 6386, 1416, 334, 542, 41983, 1283, 571, 17, 7077, 329, 571, 17, 6386, 353, 571, 17, 20257, 17, 2404, 571, 17, 20257, 353, 2753, 4099, 5501, 497, 571, 17, 7077, 329, 2753, 4099, 5501, 497, 571, 17, 6386, 19, 204, 204, 26, 19, 930, 39913, 1132, 2682, 329, 1132, 3894, 1416, 334, 542, 41983, 1283, 1132, 2682, 329, 1132, 3894, 353, 1132, 4452, 17, 2404, 1132, 4452, 353, 720, 4099, 5501, 497, 1132, 2682, 329, 720, 4099, 5501, 497, 1132, 3894, 19, 204, 204, 1380, 46762, 8587, 204, 204, 55, 18087, 886, 5628, 6154, 275, 8232, 3536, 302, 273, 4153, 700, 322, 4995, 931, 17, 1607, 17, 521, 368, 17, 1207, 14, 311, 275, 800, 542, 19, 204, 204, 3971, 46762, 311, 275, 43696, 22584, 31, 204, 204, 22, 19, 930, 4452, 1416, 4682, 720, 353, 2202, 1194, 720, 17, 572, 4672, 1873, 311, 3382, 19, 204, 23, 19, 930, 29, 2353, 1416, 4682, 571, 353, 2202, 1194, 720, 17, 572, 4672, 1873, 311, 1132, 1003, 19, 204, 24, 19, 930, 4553, 30, 1416, 4682, 1233, 353, 3114, 1194, 720, 17, 572, 4672, 719, 311, 681, 3276, 19, 204, 25, 19, 930, 2500, 1416, 4682, 681, 353, 2202, 1194, 720, 17, 572, 4672, 1873, 311, 1199, 19, 204, 26, 19, 930, 4088, 1416, 4682, 1132, 353, 3114, 1194, 720, 17, 572, 4672, 719, 311, 5074, 19, 204, 27, 19, 930, 30, 5820, 1416, 4682, 435, 353, 2202, 1194, 720, 17, 572, 4672, 1873, 311, 1233, 2169, 19, 204, 204, 3971, 46762, 311, 275, 43696, 33535, 31, 204, 204, 22, 19, 930, 28865, 1416, 4682, 7500, 353, 2202, 1194, 2753, 17, 572, 4672, 1873, 311, 2031, 19, 204, 23, 19, 930, 5091, 30, 1416, 4682, 10516, 353, 2202, 1194, 2753, 17, 572, 4672, 1873, 311, 6562, 19, 204, 24, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19, 930, 4452, 22, 1416, 4682, 13316, 353, 3114, 1194, 2753, 17, 572, 4672, 719, 311, 16106, 19, 204, 25, 19, 930, 6007, 27, 1416, 4682, 10610, 353, 3114, 1194, 2753, 17, 572, 4672, 719, 311, 17372, 19, 204, 26, 19, 930, 27763, 1416, 4682, 1233, 353, 2202, 1194, 2753, 17, 572, 4672, 1873, 311, 1607, 19, 204, 27, 19, 930, 4088, 24, 1416, 4682, 19736, 353, 3114, 1194, 2753, 17, 572, 4672, 719, 311, 11818, 19, 204, 204, 3971, 46762, 311, 275, 43696, 2767, 35925, 31, 204, 204, 22, 19, 930, 23, 17, 27, 2353, 1416, 26687, 275, 20200, 5035, 17, 3522, 887, 1323, 720, 17, 572, 2931, 275, 435, 311, 571, 329, 2652, 275, 3258, 311, 275, 1629, 311, 2962, 17, 6465, 292, 571, 17, 1207, 19, 204, 23, 19, 930, 24, 17, 29, 2314, 1416, 4682, 1132, 1323, 720, 17, 2931, 275, 571, 311, 681, 17, 6465, 292, 681, 17, 1207, 19, 204, 24, 19, 930, 27, 17, 25, 4957, 1416, 4682, 681, 962, 720, 17, 3550, 275, 887, 448, 490, 353, 17, 6465, 292, 887, 17, 1207, 19, 204, 25, 19, 930, 29, 17, 7525, 23, 1416, 4682, 720, 1323, 720, 17, 2931, 275, 1132, 311, 1233, 17, 6465, 292, 1233, 17, 1207, 19, 204, 26, 19, 930, 22, 17, 45607, 1416, 4682, 1168, 1323, 720, 17, 2931, 275, 368, 311, 435, 17, 6465, 292, 435, 17, 1207, 19, 204, 27, 19, 930, 23, 17, 4589, 1416, 4682, 720, 289, 720, 17, 3550, 275, 435, 448, 490, 353, 17, 6465, 292, 435, 17, 1207, 19, 204, 28, 19, 930, 28, 17, 43018, 1416, 4682, 435, 962, 720, 17, 3550, 275, 1168, 448, 490, 353, 17, 6465, 292, 1168, 17, 1207, 19, 204, 29, 19, 930, 26, 17, 27, 6913, 1416, 4682, 887, 1323, 720, 17, 2931, 275, 720, 311, 887, 17, 6465, 292, 887, 17, 1207, 19, 204, 30, 19, 930, 24, 17, 38791, 1416, 4682, 368, 962, 720, 17, 3550, 275, 571, 448, 490, 353, 17, 6465, 292, 571, 17, 1207, 19, 204, 1003, 19, 930, 30, 17, 28, 2300, 1416, 4682, 1168, 1323, 720, 17, 2931, 275, 1233, 311, 931, 17, 6465, 292, 931, 17, 1207, 19, 204, 204, 1380, 4496, 6608, 17, 778, 17, 329, 22219, 594, 204, 204, 1449, 2616, 3490, 974, 6608, 17, 778, 17, 329, 22219, 594, 17, 1696, 1605, 3214, 31, 204, 204, 22, 19, 930, 15047, 273, 19065, 1043, 810, 777, 1609, 523, 275, 1483, 800, 292, 275, 1844, 19, 204, 23, 19, 930, 5995, 777, 1214, 810, 311, 3020, 397, 490, 12478, 275, 4042, 302, 275, 1844, 19, 204, 24, 19, 930, 31234, 594, 777, 1214, 810, 1609, 523, 275, 5889, 302, 275, 1356, 17, 4461, 33227, 448, 3600, 19, 204, 25, 19, 930, 42072, 9221, 329, 9101, 777, 3119, 872, 1020, 273, 1988, 496, 12478, 830, 4042, 302, 275, 1844, 19, 204, 204, 3971, 1165, 31, 204, 204, 11626, 329, 313, 7113, 874, 4236, 14627, 19, 5979, 869, 435, 1182, 14627, 1194, 313, 7113, 19, 2026, 1910, 14627, 1583, 848, 14757, 874, 36, 204, 204, 18, 930, 6702, 368, 322, 28506, 12541, 5486, 677, 5257, 313, 7113, 869, 610, 14627, 19, 5512, 5979, 869, 610, 465, 435, 14627, 19, 204, 18, 930, 6702, 435, 322, 5995, 12541, 334, 1113, 542, 302, 14627, 1250, 874, 4430, 353, 610, 465, 322, 93, 465, 435, 14, 289, 4236, 19, 204, 18, 930, 6702, 571, 322, 31234, 594, 12541, 12748, 275, 1581, 610, 465, 610, 465, 435, 289, 4236, 4658, 451, 435, 93, 465, 435, 289, 4236, 19, 31889, 435, 497, 1855, 2902, 4658, 435, 93, 289, 2468, 19, 28996, 1855, 2902, 560, 435, 4658, 610, 289, 2153, 19, 204, 18, 930, 6702, 681, 322, 5995, 12541, 828, 313, 7113, 869, 2153, 14627, 17, 1675, 5979, 869, 2153, 465, 435, 289, 3139, 14627, 19, 32252, 17, 1250, 874, 2153, 465, 3139, 289, 4236, 14627, 17, 928, 4083, 275, 1844, 4818, 19, 204, 204, 4356, 17, 313, 7113, 869, 2153, 14627, 17, 329, 5979, 869, 3139, 14627, 19, 0, 461, 838, 68, 18693, 13, 1454, 68, 12505, 31, 394, 17, 943, 68, 8344, 31, 394, 14, 393, 7063, 31, 204, 264, 320, 204, 264, 2605, 273, 11820, 741, 496, 21796, 3161, 741, 329, 5538, 3595, 2518, 329, 1877, 14101, 490, 19, 204, 204, 264, 457, 31, 204, 268, 943, 68, 12505, 322, 325, 330, 334, 943, 311, 444, 9425, 2518, 14101, 275, 741, 19, 204, 268, 943, 68, 8344, 322, 325, 330, 334, 943, 311, 444, 9425, 1877, 14101, 275, 741, 19, 204, 204, 264, 475, 31, 204, 268, 332, 11820, 741, 496, 21796, 275, 2171, 741, 19, 204, 264, 320, 204, 264, 436, 11820, 68, 2539, 13, 4266, 31, 7063, 14, 393, 7063, 31, 204, 268, 320, 204, 268, 332, 11820, 741, 496, 21796, 3161, 741, 329, 5538, 3595, 2518, 329, 1877, 14101, 490, 19, 204, 204, 268, 457, 31, 204, 305, 6398, 31, 334, 741, 311, 444, 14950, 19, 204, 204, 268, 475, 31, 204, 305, 332, 9073, 741, 496, 7987, 275, 2171, 741, 19, 204, 268, 320, 204, 268, 436, 9073, 4934, 1038, 17, 930, 2251, 14, 393, 443, 31, 204, 305, 320, 204, 305, 334, 9073, 741, 496, 7987, 275, 2171, 741, 19, 204, 204, 305, 457, 31, 204, 485, 540, 1038, 31, 7618, 542, 302, 1950, 18, 11415, 1906, 19, 204, 485, 930, 2251, 31, 7618, 542, 302, 4541, 1906, 19, 204, 305, 320, 204, 305, 314, 1198, 275, 943, 2518, 14101, 275, 741, 204, 305, 456, 13, 1454, 68, 12505, 14, 204, 305, 810, 31, 204, 485, 314, 4889, 275, 2171, 741, 440, 275, 1917, 1906, 204, 485, 6398, 4934, 1038, 17, 930, 2251, 14, 204, 305, 827, 1319, 448, 318, 31, 204, 485, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 741, 2428, 204, 485, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 305, 6666, 31, 204, 485, 314, 1198, 275, 943, 1877, 14101, 275, 741, 204, 485, 456, 13, 1454, 68, 8344, 14, 204, 204, 268, 407, 9073, 204, 204, 264, 407, 11820, 68, 2539, 204, 204, 204, 8, 666, 273, 11820, 496, 5538, 388, 17333, 741, 7, 2518, 329, 388, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 10981, 299, 741, 7, 1877, 14101, 275, 741, 204, 2539, 68, 18693, 289, 838, 68, 18693, 499, 17333, 741, 528, 388, 10981, 299, 741, 431, 204, 204, 204, 37, 2539, 68, 18693, 204, 461, 15399, 13, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 15399, 943, 19, 204, 204, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 311, 444, 1376, 292, 275, 15399, 943, 19, 204, 264, 320, 204, 264, 456, 13, 75, 7, 5975, 17, 463, 417, 23214, 204, 204, 204, 37, 2539, 68, 18693, 204, 461, 560, 74, 13, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4060, 273, 43401, 943, 19, 204, 204, 264, 457, 31, 204, 268, 588, 322, 325, 330, 334, 588, 311, 444, 1376, 292, 275, 43401, 943, 19, 204, 264, 320, 204, 264, 456, 13, 75, 7, 32300, 17, 463, 417, 23214, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1295, 275, 13170, 3263, 204, 264, 15399, 499, 6192, 431, 204, 264, 560, 74, 499, 14993, 431, 204, 0, 28016, 501, 1888, 42, 8450, 313, 7067, 9213, 62, 204, 24749, 12310, 17561, 17402, 48758, 204, 50, 8882, 2343, 43777, 5108, 204, 46815, 562, 3629, 437, 18126, 302, 275, 5634, 2927, 292, 16419, 11636, 8910, 31112, 329, 2736, 40162, 311, 275, 5384, 17, 13810, 17, 329, 5519, 302, 3651, 9745, 19, 34153, 17, 275, 2986, 348, 17318, 10141, 8033, 292, 3651, 9745, 529, 8699, 19, 9134, 497, 931, 10141, 329, 9745, 1120, 444, 1917, 17, 8374, 523, 275, 2799, 677, 3793, 19, 34347, 2255, 6016, 497, 3277, 18598, 16604, 291, 9745, 17, 1702, 448, 3479, 10548, 9012, 44633, 17, 26892, 24758, 17, 523, 395, 16410, 24502, 560, 556, 8954, 18117, 1102, 8929, 17, 2442, 10141, 8033, 292, 26140, 4614, 17, 10141, 10994, 9271, 11758, 10502, 13955, 6709, 17, 33710, 12511, 6427, 17, 329, 7322, 9172, 26004, 311, 3536, 9745, 19, 1765, 848, 1763, 17, 8916, 3695, 1120, 444, 1917, 448, 5665, 348, 15994, 311, 3126, 275, 2085, 329, 1352, 302, 275, 29391, 17, 13199, 13171, 17, 329, 790, 5384, 329, 5519, 17973, 10660, 19, 204, 50, 8882, 2343, 43777, 5108, 6894, 0, 647, 3238, 204, 647, 1127, 204, 647, 1804, 204, 204, 461, 636, 68, 2196, 68, 1054, 68, 1038, 374, 393, 927, 31, 204, 264, 320, 204, 264, 4071, 1354, 1007, 1906, 329, 2914, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 2914, 329, 3630, 19, 204, 264, 320, 204, 264, 1732, 289, 3238, 19, 6261, 13, 2749, 833, 1218, 1860, 329, 7887, 534, 204, 264, 1732, 19, 826, 68, 2389, 611, 3880, 491, 16771, 833, 27602, 1540, 3603, 865, 19, 14702, 27273, 1340, 833, 32217, 311, 458, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 45, 491, 6262, 5423, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 14625, 4213, 1860, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 82, 491, 6262, 12171, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 14625, 1489, 329, 690, 302, 1673, 15445, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 84, 491, 6262, 1115, 491, 5426, 4980, 417, 491, 379, 83, 491, 379, 12171, 491, 379, 82, 491, 379, 835, 491, 379, 88, 2043, 1540, 833, 417, 491, 1340, 833, 8477, 919, 560, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 87, 491, 6262, 10916, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 6714, 1940, 7887, 14395, 534, 204, 264, 1732, 19, 826, 68, 2389, 6905, 88, 491, 6262, 7516, 491, 2086, 833, 4046, 68, 4855, 491, 1340, 833, 14625, 7539, 534, 204, 204, 264, 407, 1732, 19, 1703, 68, 1038, 374, 204, 204, 461, 636, 68, 2375, 68, 416, 68, 9895, 13, 546, 31, 394, 17, 9611, 31, 1109, 17, 2248, 68, 5423, 31, 1109, 14, 393, 927, 31, 204, 264, 320, 204, 264, 4071, 1860, 329, 7887, 497, 273, 800, 832, 19, 204, 204, 264, 457, 31, 204, 268, 832, 322, 325, 330, 334, 832, 311, 3686, 1860, 329, 7887, 497, 19, 204, 268, 9611, 322, 2107, 330, 2266, 311, 15062, 7887, 14395, 19, 204, 268, 2248, 68, 5423, 322, 2107, 330, 2266, 311, 2255, 4213, 1860, 329, 7887, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 3330, 302, 1860, 329, 7887, 19, 204, 264, 320, 204, 264, 397, 508, 1127, 19, 546, 19, 4332, 13, 546, 330, 204, 268, 407, 7541, 1306, 204, 204, 264, 1860, 68, 481, 289, 1306, 204, 264, 23631, 68, 481, 289, 1306, 204, 204, 264, 348, 510, 292, 1127, 19, 8970, 13, 546, 330, 204, 268, 397, 508, 2248, 68, 5423, 329, 510, 19, 7209, 7542, 4448, 204, 305, 3524, 204, 204, 268, 3101, 68, 546, 289, 1127, 19, 546, 19, 1541, 13, 546, 17, 510, 14, 204, 268, 424, 289, 463, 204, 305, 379, 932, 597, 379, 553, 12, 397, 1127, 19, 546, 19, 13226, 13, 5022, 68, 546, 14, 902, 379, 1217, 491, 204, 305, 379, 546, 597, 510, 465, 2448, 12, 397, 1127, 19, 546, 19, 13226, 13, 5022, 68, 546, 14, 902, 5014, 2008, 204, 305, 379, 835, 597, 1127, 19, 546, 19, 33649, 13, 5022, 68, 546, 14, 397, 1127, 19, 546, 19, 13226, 13, 5022, 68, 546, 14, 902, 443, 17, 204, 305, 379, 12171, 597, 1127, 19, 546, 19, 505, 36989, 13, 5022, 68, 546, 14, 204, 268, 1211, 204, 204, 268, 397, 1127, 19, 546, 19, 13226, 13, 5022, 68, 546, 330, 204, 305, 1860, 68, 481, 19, 1223, 13, 481, 14, 204, 268, 902, 31, 204, 305, 23631, 68, 481, 19, 1223, 13, 481, 14, 204, 204, 305, 397, 9611, 31, 204, 485, 860, 68, 2375, 17, 860, 68, 14175, 289, 636, 68, 2375, 68, 416, 68, 9895, 13, 5022, 68, 546, 17, 9611, 17, 2248, 68, 5423, 14, 204, 485, 1860, 68, 481, 19, 6683, 13, 1509, 68, 2375, 14, 204, 485, 23631, 68, 481, 19, 6683, 13, 1509, 68, 14175, 14, 204, 204, 264, 407, 1860, 68, 481, 17, 23631, 68, 481, 204, 204, 461, 1883, 68, 416, 68, 2102, 68, 481, 13, 14175, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 31, 458, 17, 1860, 31, 458, 17, 2914, 14, 393, 443, 31, 204, 264, 320, 204, 264, 20808, 329, 5538, 1445, 329, 510, 424, 19, 204, 204, 264, 457, 31, 204, 268, 23631, 322, 655, 330, 332, 458, 302, 1445, 424, 19, 204, 268, 1860, 322, 655, 330, 332, 458, 302, 510, 424, 19, 204, 268, 2914, 31, 8476, 1007, 2914, 19, 204, 264, 320, 204, 264, 636, 68, 834, 289, 4464, 690, 68, 93, 31, 1804, 19, 2664, 19, 28469, 13, 834, 68, 93, 789, 7899, 10728, 62, 5079, 82, 5079, 73, 1564, 45, 6212, 50, 6212, 56, 431, 204, 204, 264, 348, 1184, 292, 23631, 31, 204, 268, 456, 13, 75, 1954, 1271, 736, 546, 9436, 204, 204, 264, 348, 1184, 292, 1860, 31, 204, 268, 690, 289, 636, 68, 834, 13, 1271, 736, 12171, 2378, 397, 2914, 19, 12171, 902, 5607, 204, 268, 1302, 289, 394, 13, 1271, 736, 835, 2378, 397, 2914, 19, 7516, 902, 5607, 204, 204, 268, 456, 13, 75, 1954, 834, 31, 1036, 1134, 835, 31, 1909, 1134, 1271, 736, 546, 9436, 204, 204, 264, 1245, 68, 2375, 289, 283, 1954, 1796, 13, 2375, 4150, 510, 29225, 88, 12, 397, 1245, 13, 2375, 14, 2167, 368, 902, 5607, 2495, 204, 264, 1245, 68, 14175, 289, 283, 1954, 1796, 13, 14175, 4150, 4622, 29225, 88, 12, 397, 1245, 13, 14175, 14, 2167, 368, 902, 5607, 2495, 204, 264, 456, 13, 75, 1954, 1796, 68, 2375, 1522, 463, 1796, 68, 14175, 743, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 302, 275, 2548, 19, 204, 264, 320, 204, 264, 2914, 289, 636, 68, 2196, 68, 1054, 68, 1038, 374, 204, 204, 264, 830, 68, 2375, 289, 1306, 204, 264, 830, 68, 14175, 289, 1306, 204, 204, 264, 348, 832, 292, 2914, 19, 3880, 31, 204, 268, 1860, 17, 23631, 289, 636, 68, 2375, 68, 416, 68, 9895, 13, 546, 17, 2914, 19, 10916, 17, 2914, 19, 5423, 14, 204, 268, 830, 68, 2375, 19, 6683, 13, 2375, 14, 204, 268, 830, 68, 14175, 19, 6683, 13, 14175, 14, 204, 204, 264, 314, 4641, 424, 204, 264, 1552, 68, 1424, 289, 463, 204, 268, 379, 83, 597, 379, 546, 491, 204, 268, 379, 417, 597, 379, 546, 491, 204, 268, 379, 82, 597, 379, 12171, 491, 204, 268, 379, 12171, 597, 379, 12171, 491, 204, 268, 379, 88, 597, 379, 835, 491, 204, 268, 379, 835, 597, 379, 835, 12, 204, 264, 1211, 19, 505, 13, 4018, 19, 1115, 17, 379, 546, 534, 204, 204, 264, 2282, 68, 2375, 289, 2282, 13, 668, 68, 2375, 17, 896, 34, 3605, 610, 31, 610, 19, 505, 13, 1115, 68, 1424, 17, 28526, 204, 264, 2282, 68, 14175, 289, 2282, 13, 668, 68, 14175, 17, 896, 34, 3605, 610, 31, 610, 19, 505, 13, 1115, 68, 1424, 17, 28526, 204, 204, 264, 1883, 68, 416, 68, 2102, 68, 481, 13, 5518, 68, 14175, 17, 2282, 68, 2375, 17, 2914, 14, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 676, 5181, 280, 3333, 16659, 31, 204, 264, 320, 204, 264, 4191, 3855, 273, 800, 782, 353, 437, 978, 280, 3333, 302, 970, 904, 3157, 19, 204, 204, 264, 1532, 31, 204, 264, 443, 204, 204, 264, 10523, 31, 204, 264, 353, 68, 1931, 280, 3333, 13, 88, 22, 31, 394, 17, 297, 23, 31, 394, 17, 297, 24, 31, 394, 14, 393, 1109, 31, 4191, 397, 297, 24, 353, 437, 978, 280, 3333, 302, 297, 22, 329, 297, 23, 19, 204, 264, 320, 204, 204, 264, 436, 353, 68, 1931, 280, 3333, 13, 327, 17, 297, 22, 31, 394, 17, 297, 23, 31, 394, 17, 297, 24, 31, 394, 14, 393, 1109, 31, 204, 268, 320, 204, 268, 4191, 397, 297, 24, 353, 437, 978, 280, 3333, 302, 297, 22, 329, 297, 23, 19, 204, 204, 268, 457, 31, 204, 268, 297, 22, 322, 325, 330, 334, 1043, 782, 19, 204, 268, 297, 23, 322, 325, 330, 334, 1350, 782, 19, 204, 268, 297, 24, 322, 325, 330, 334, 782, 311, 1356, 348, 978, 280, 3333, 19, 204, 204, 268, 475, 31, 204, 268, 1109, 31, 959, 397, 297, 24, 353, 437, 978, 280, 3333, 302, 297, 22, 329, 297, 23, 17, 1078, 2130, 19, 204, 268, 320, 204, 268, 314, 778, 348, 2872, 3806, 204, 268, 397, 508, 830, 1568, 88, 22, 17, 297, 23, 17, 297, 24, 1037, 204, 305, 407, 1078, 226, 314, 455, 1078, 397, 1169, 302, 275, 3157, 529, 1392, 204, 204, 268, 314, 778, 397, 275, 5466, 302, 297, 22, 329, 297, 23, 881, 719, 311, 275, 1277, 302, 297, 24, 204, 268, 397, 1245, 13, 88, 22, 14, 465, 1245, 13, 88, 23, 14, 2167, 1245, 13, 88, 24, 330, 204, 305, 407, 1078, 226, 314, 455, 1078, 397, 275, 5466, 770, 508, 2216, 204, 204, 268, 314, 977, 273, 435, 41, 1435, 311, 1640, 275, 978, 280, 3333, 1714, 204, 268, 2216, 68, 1867, 289, 5787, 1975, 66, 540, 322, 1796, 13, 88, 23, 14, 465, 368, 14, 348, 906, 292, 933, 13, 1796, 13, 88, 22, 14, 465, 368, 2395, 204, 268, 2216, 68, 1867, 64, 21, 1799, 21, 66, 289, 959, 226, 314, 334, 1392, 782, 353, 437, 978, 280, 3333, 302, 970, 1392, 3157, 204, 204, 268, 314, 977, 275, 1043, 1237, 329, 1837, 302, 275, 1435, 204, 268, 370, 806, 9462, 68, 1867, 13, 4054, 68, 1867, 17, 297, 22, 17, 297, 23, 17, 297, 24, 14, 204, 204, 268, 314, 10155, 292, 275, 3022, 302, 275, 1435, 974, 8175, 7786, 204, 268, 370, 806, 5716, 68, 1867, 13, 4054, 68, 1867, 17, 297, 22, 17, 297, 23, 17, 297, 24, 14, 204, 204, 268, 314, 334, 978, 280, 3333, 1714, 353, 6929, 292, 275, 5533, 18, 1633, 8937, 302, 275, 1435, 204, 268, 407, 2216, 68, 1867, 64, 1796, 13, 88, 22, 43162, 1796, 13, 88, 23, 2395, 204, 204, 264, 436, 906, 9462, 68, 1867, 13, 327, 17, 2216, 68, 1867, 31, 458, 17, 297, 22, 31, 394, 17, 297, 23, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 895, 2769, 19, 1223, 13, 9431, 14, 204, 204, 485, 314, 828, 275, 6199, 869, 275, 1729, 1848, 17, 275, 1582, 353, 508, 42596, 204, 485, 1677, 1848, 64, 9431, 66, 564, 1848, 64, 1241, 744, 204, 895, 407, 1078, 204, 204, 268, 407, 959, 204, 204, 264, 314, 3055, 19040, 348, 830, 28178, 2731, 204, 264, 348, 944, 292, 933, 13, 920, 68, 3076, 330, 204, 268, 397, 508, 4371, 64, 1241, 744, 204, 305, 397, 508, 15715, 68, 2922, 68, 1803, 13, 1241, 330, 204, 485, 407, 1078, 204, 204, 264, 407, 959, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 1165, 1265, 204, 264, 7576, 68, 655, 289, 463, 21, 31, 551, 22, 17, 571, 648, 368, 31, 551, 21, 17, 435, 648, 435, 31, 551, 22, 17, 571, 648, 571, 31, 551, 21, 17, 435, 7916, 204, 264, 456, 13, 360, 68, 45252, 33017, 68, 1944, 13, 15197, 68, 655, 602, 204, 0, 315, 204, 1834, 2413, 3629, 273, 12206, 25579, 850, 496, 30589, 26575, 2752, 3688, 497, 273, 47127, 2752, 6280, 19, 204, 315, 204, 204, 531, 1498, 532, 1061, 17, 783, 204, 647, 2164, 204, 531, 8632, 532, 8204, 204, 204, 37, 6611, 204, 676, 12206, 31, 204, 264, 320, 5272, 273, 2752, 440, 1163, 3688, 1279, 204, 264, 1724, 31, 394, 204, 264, 1779, 31, 394, 204, 264, 5401, 31, 421, 204, 204, 676, 12206, 25579, 31, 204, 264, 320, 204, 264, 18712, 273, 2752, 15796, 496, 39321, 2752, 3688, 497, 273, 47127, 2752, 6280, 19, 204, 204, 264, 1532, 31, 204, 268, 1034, 68, 805, 322, 325, 330, 334, 1034, 1274, 302, 275, 2752, 6280, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 17, 1034, 68, 805, 31, 394, 330, 204, 268, 320, 204, 268, 1865, 275, 12206, 25579, 1014, 19, 204, 204, 268, 457, 31, 204, 305, 1034, 68, 805, 322, 325, 330, 334, 1034, 1274, 302, 275, 2752, 6280, 19, 204, 268, 320, 204, 268, 370, 19, 772, 68, 805, 289, 1034, 68, 805, 204, 204, 264, 436, 15080, 68, 19649, 13, 327, 14, 393, 783, 64, 9501, 744, 204, 268, 320, 204, 268, 18712, 26575, 2752, 3688, 497, 275, 2752, 6280, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 9501, 744, 332, 458, 302, 12206, 2828, 2457, 275, 35231, 2752, 3688, 19, 204, 268, 320, 204, 268, 810, 31, 204, 305, 314, 2878, 273, 4559, 824, 311, 275, 2752, 6280, 311, 3752, 2752, 3688, 204, 305, 958, 289, 2164, 19, 505, 13, 327, 19, 772, 68, 805, 465, 6040, 19649, 431, 204, 305, 958, 19, 4952, 68, 1538, 68, 1835, 374, 226, 314, 5149, 437, 2710, 348, 5726, 1714, 6210, 204, 204, 305, 314, 2735, 275, 2084, 958, 204, 305, 2752, 68, 481, 289, 958, 19, 1775, 374, 204, 204, 305, 314, 1986, 329, 407, 275, 2752, 3688, 204, 305, 407, 370, 806, 5184, 68, 4814, 68, 4591, 13, 4814, 68, 481, 14, 204, 204, 268, 827, 2164, 19, 6866, 448, 318, 31, 204, 305, 314, 1426, 1169, 2805, 496, 1336, 1882, 275, 15080, 1352, 204, 305, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 305, 407, 1306, 204, 204, 264, 436, 906, 5184, 68, 4814, 68, 4591, 13, 327, 17, 2752, 68, 481, 31, 1061, 14, 393, 783, 64, 9501, 744, 204, 268, 320, 204, 268, 7483, 2752, 3688, 497, 275, 3634, 2084, 958, 19, 204, 204, 268, 457, 31, 204, 305, 2752, 68, 481, 322, 1665, 330, 334, 3634, 2084, 958, 1174, 2752, 3688, 19, 204, 204, 268, 475, 31, 204, 305, 783, 64, 9501, 744, 332, 458, 302, 12206, 2828, 2457, 275, 4989, 2752, 3688, 19, 204, 268, 320, 204, 268, 314, 977, 437, 1392, 458, 311, 1640, 275, 4989, 2752, 3688, 204, 268, 12989, 289, 1306, 204, 204, 268, 314, 1861, 1048, 275, 2752, 3688, 292, 275, 958, 204, 268, 348, 2752, 292, 2752, 68, 481, 1166, 19649, 8682, 204, 305, 314, 1986, 275, 2752, 1724, 17, 1274, 17, 329, 5401, 204, 305, 1724, 289, 2752, 1166, 1778, 1339, 204, 305, 1779, 289, 2752, 1166, 805, 1339, 204, 305, 5401, 289, 2752, 1166, 7083, 1339, 204, 204, 305, 314, 666, 273, 12206, 726, 329, 881, 490, 311, 275, 458, 204, 305, 12989, 19, 1223, 13, 9501, 13, 1778, 17, 1779, 17, 5401, 602, 204, 204, 268, 407, 12989, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 11000, 1662, 311, 732, 275, 12206, 25579, 850, 311, 15080, 2752, 3688, 19, 204, 264, 320, 204, 264, 314, 666, 273, 12206, 25579, 1014, 440, 275, 1034, 1274, 302, 275, 2752, 6280, 204, 264, 15796, 289, 12206, 25579, 499, 3189, 1963, 2569, 19, 1453, 431, 204, 204, 264, 314, 31964, 2752, 3688, 974, 275, 12206, 25579, 1014, 204, 264, 12989, 289, 15796, 19, 22662, 68, 19649, 374, 204, 204, 264, 314, 1198, 275, 35231, 2752, 3688, 204, 264, 348, 2752, 292, 12989, 31, 204, 268, 456, 13, 75, 7, 10453, 31, 463, 4814, 19, 1778, 1522, 1274, 31, 463, 4814, 19, 805, 1522, 29844, 31, 463, 4814, 19, 7083, 98, 3331, 431, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 11594, 17140, 490, 4430, 382, 406, 38338, 6982, 275, 2631, 9566, 292, 275, 392, 2179, 4657, 86, 204, 3103, 5971, 2842, 25821, 19, 828, 872, 874, 34026, 8052, 4436, 523, 1792, 14705, 17, 690, 3848, 1856, 2219, 14224, 397, 872, 8170, 497, 1051, 5431, 311, 3161, 19, 10006, 42123, 397, 1051, 1561, 353, 15981, 302, 275, 5261, 17, 275, 5261, 529, 8944, 496, 4539, 1051, 19, 8879, 275, 13024, 302, 437, 8348, 14670, 17, 27234, 1283, 1605, 5194, 1784, 3253, 690, 311, 9203, 4533, 329, 1818, 17, 273, 1950, 18, 3435, 48135, 2620, 19, 204, 5039, 273, 23781, 17, 18827, 11898, 1741, 1523, 1017, 3346, 9263, 690, 17, 1101, 448, 9759, 448, 872, 2601, 311, 275, 12679, 17, 6126, 1120, 444, 9455, 19, 11815, 20095, 1429, 30706, 8904, 943, 17066, 5544, 4112, 2518, 490, 867, 2312, 17, 329, 1422, 2219, 867, 273, 11802, 970, 4112, 2518, 275, 943, 867, 2312, 19, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 15605, 523, 273, 2875, 5431, 1429, 7177, 874, 19167, 1330, 275, 690, 24031, 27809, 19, 1765, 1763, 17, 1104, 5194, 974, 9093, 329, 22631, 14626, 2090, 311, 2379, 275, 690, 302, 275, 1673, 3094, 1259, 19, 204, 4356, 17, 3585, 10935, 3326, 867, 1051, 302, 275, 1043, 7177, 348, 392, 2179, 19, 0, 673, 6728, 741, 353, 273, 6837, 5210, 302, 5698, 28303, 19, 1131, 3406, 1051, 18, 24768, 302, 2459, 1415, 35769, 630, 5698, 10692, 874, 448, 273, 5210, 44198, 311, 273, 308, 638, 2837, 2854, 498, 5746, 17766, 299, 9463, 19, 18410, 17, 1910, 2459, 770, 508, 7940, 808, 5210, 19, 204, 15605, 7239, 275, 10769, 496, 2459, 770, 521, 770, 508, 6728, 529, 3700, 17, 1422, 6644, 311, 444, 970, 896, 3857, 496, 24269, 275, 6728, 1352, 19, 5028, 896, 2479, 353, 275, 1187, 302, 28827, 1745, 12058, 7634, 560, 3584, 521, 14906, 19, 5904, 323, 1745, 12058, 5438, 311, 275, 19559, 496, 8029, 275, 6728, 1352, 497, 1051, 10692, 311, 275, 904, 19, 5439, 440, 15964, 28827, 1745, 12058, 17, 1702, 448, 17126, 329, 25845, 17, 2886, 273, 6118, 2123, 329, 1182, 38979, 6728, 1352, 19, 4171, 3584, 7634, 273, 2323, 6836, 302, 4303, 5798, 9442, 496, 4921, 275, 1043, 970, 18, 12193, 302, 273, 1722, 21782, 5798, 19, 6263, 17, 2459, 618, 3074, 9442, 630, 5698, 28303, 329, 2379, 496, 1605, 9442, 529, 12308, 20160, 2614, 275, 1259, 677, 3566, 1561, 302, 5092, 5798, 19, 10677, 17, 292, 3584, 440, 9463, 18, 1424, 18, 29320, 28827, 1745, 12058, 17, 3469, 3536, 11658, 292, 275, 6728, 1352, 2864, 29029, 4303, 5798, 3200, 7949, 496, 2549, 3014, 311, 5701, 311, 9437, 9442, 17, 8287, 690, 17, 329, 6863, 6923, 19, 204, 673, 904, 896, 2479, 353, 275, 3003, 302, 12750, 329, 4361, 2886, 6171, 14266, 311, 2459, 292, 17502, 348, 6728, 19, 18284, 28303, 440, 3114, 6728, 7028, 1308, 273, 8372, 302, 2886, 6171, 1924, 9455, 329, 16863, 6728, 11366, 19, 4171, 1729, 28303, 1425, 1308, 14224, 9442, 311, 7324, 2459, 10998, 82, 2547, 19, 204, 18, 12003, 311, 275, 565, 638, 2837, 2854, 498, 34748, 322, 10938, 14, 204, 40415, 3793, 311, 41381, 7260, 25397, 311, 308, 638, 2837, 2854, 498, 1870, 5798, 329, 11845, 496, 1340, 20966, 3153, 25397, 19, 334, 8576, 353, 1085, 302, 275, 5658, 3793, 6684, 17313, 275, 21486, 19, 204, 18, 18284, 12661, 10677, 31, 40631, 17, 34532, 2680, 31299, 17, 329, 34480, 88, 322, 22415, 14, 204, 11443, 3629, 1483, 523, 275, 20252, 10683, 17, 17502, 17, 329, 8411, 302, 5698, 10692, 2459, 974, 2327, 1792, 424, 6651, 19, 10303, 11975, 19490, 10140, 4751, 2459, 25642, 292, 5698, 28303, 17, 1901, 2459, 4627, 1250, 18108, 273, 13846, 19761, 19, 204, 18, 5140, 15868, 329, 18284, 12661, 18, 39, 638, 2837, 2854, 498, 21820, 13, 23087, 789, 204, 26719, 496, 34085, 275, 4263, 302, 1259, 4643, 292, 47958, 5698, 10692, 4154, 71, 638, 2837, 2854, 498, 6728, 7028, 19, 334, 8622, 302, 970, 18, 2873, 311, 3420, 18, 2873, 6728, 5956, 353, 14511, 329, 6838, 3793, 1465, 6728, 3758, 353, 11188, 19, 204, 18, 21820, 329, 5904, 323, 1745, 5158, 10095, 322, 21265, 789, 204, 11767, 17, 560, 1259, 17, 302, 6728, 329, 28827, 1745, 20187, 17, 34033, 33432, 17, 424, 18062, 17, 39029, 329, 11141, 17, 28827, 1745, 27970, 17, 329, 2323, 6836, 329, 2323, 3200, 43707, 19, 204, 18, 18284, 12661, 21820, 8540, 17, 4639, 302, 10224, 17, 34188, 19, 204, 17155, 7894, 5698, 10692, 2459, 6728, 311, 275, 4639, 302, 10224, 630, 34188, 19, 8540, 8740, 3629, 1855, 3509, 6171, 311, 2459, 448, 2590, 448, 292, 18, 3823, 1737, 348, 5698, 10692, 21074, 1288, 19, 204, 18, 25845, 296, 28335, 19, 204, 43006, 348, 2459, 17, 6757, 17, 329, 24445, 496, 32065, 25845, 12, 9244, 6728, 12058, 19, 1058, 5910, 13157, 275, 6728, 302, 2459, 497, 1051, 25845, 10692, 20, 32541, 311, 3161, 19, 204, 18, 22868, 21820, 10601, 19, 204, 5059, 4643, 22552, 496, 22868, 18284, 2656, 280, 1110, 4147, 1017, 8052, 311, 4897, 496, 23930, 32817, 311, 3420, 18, 2873, 14906, 19, 10677, 1415, 18715, 292, 275, 1259, 677, 25081, 3839, 4879, 10601, 529, 31803, 23382, 630, 273, 681, 18, 2873, 9463, 397, 1250, 4151, 437, 19611, 677, 5746, 19, 204, 18, 7136, 18837, 2001, 45118, 5904, 323, 1745, 36070, 1283, 275, 7136, 18837, 18284, 12661, 6136, 329, 275, 4639, 302, 7136, 18837, 6136, 19, 332, 1259, 10502, 15474, 26904, 275, 6728, 302, 23930, 1283, 5698, 28303, 329, 3566, 22730, 292, 7136, 18837, 19, 204, 18, 41016, 28279, 6761, 322, 2157, 659, 273, 15964, 39230, 329, 12750, 17077, 2548, 496, 5994, 630, 275, 5698, 10692, 1870, 311, 2931, 275, 542, 302, 11975, 447, 18411, 10311, 2459, 1415, 6728, 311, 3420, 18, 2873, 28303, 329, 22730, 19, 204, 18, 10959, 15268, 302, 275, 5439, 19, 204, 37657, 4240, 17, 3793, 17, 23641, 17, 329, 13862, 16987, 348, 1259, 5798, 4643, 22417, 19, 204, 18, 480, 328, 4732, 15847, 19, 204, 673, 15363, 6759, 4338, 21212, 523, 26753, 2384, 1978, 630, 5698, 28303, 17, 1924, 3793, 329, 2548, 4383, 292, 2327, 9055, 21832, 31, 3073, 311, 1722, 21782, 17, 1978, 292, 1722, 21782, 17, 329, 275, 11658, 21616, 560, 6986, 19950, 19, 204, 18, 2621, 3641, 311, 12661, 9389, 19, 204, 2021, 32212, 302, 30268, 17, 12488, 17, 329, 904, 10684, 18, 329, 1259, 18, 2201, 13033, 19, 334, 2364, 7575, 88, 3793, 329, 37500, 885, 675, 1483, 14814, 523, 17080, 10692, 17502, 17, 3073, 17, 329, 1978, 348, 1683, 18, 14917, 12257, 19, 0, 531, 5920, 532, 7664, 204, 531, 2821, 532, 8736, 204, 204, 461, 949, 68, 13328, 1320, 13, 768, 68, 1031, 31, 394, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 275, 542, 302, 3942, 311, 9007, 273, 758, 302, 2828, 440, 19312, 19, 204, 204, 264, 457, 31, 204, 264, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 1174, 275, 2828, 19, 204, 204, 264, 475, 31, 204, 264, 421, 31, 334, 542, 302, 3942, 311, 9007, 275, 2828, 19, 204, 264, 320, 204, 264, 314, 968, 275, 10814, 700, 311, 4516, 20502, 204, 264, 10814, 68, 876, 31, 421, 289, 421, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13, 22, 74, 30, 14, 465, 1168, 204, 204, 264, 314, 3398, 275, 3133, 302, 848, 1943, 292, 275, 537, 782, 204, 264, 1943, 68, 3115, 31, 7664, 289, 7664, 13, 768, 68, 1031, 14, 204, 204, 264, 314, 888, 275, 1113, 542, 302, 2828, 204, 264, 1113, 68, 2856, 31, 421, 289, 1066, 13, 6391, 68, 3115, 19, 1309, 1447, 204, 204, 264, 314, 977, 275, 722, 1554, 440, 275, 8736, 302, 275, 1113, 542, 302, 2828, 204, 264, 722, 31, 421, 289, 8736, 13, 2609, 68, 2856, 14, 204, 204, 264, 314, 10164, 275, 722, 560, 275, 1351, 302, 275, 18328, 302, 275, 19312, 4442, 302, 848, 726, 204, 264, 348, 1040, 292, 1943, 68, 3115, 19, 1309, 1293, 204, 268, 314, 10164, 275, 722, 560, 275, 8736, 302, 275, 790, 1943, 1040, 204, 268, 722, 25885, 8736, 13, 765, 14, 204, 204, 264, 314, 3291, 275, 10814, 2661, 311, 4516, 20502, 204, 264, 722, 34060, 10814, 68, 876, 204, 204, 264, 407, 722, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 537, 497, 275, 575, 204, 264, 771, 68, 4599, 31, 421, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 683, 2910, 31, 4091, 204, 615, 264, 348, 906, 292, 933, 13, 920, 68, 4599, 330, 204, 268, 314, 763, 275, 537, 782, 497, 275, 575, 204, 268, 537, 68, 1031, 31, 394, 289, 537, 499, 2101, 275, 537, 782, 31, 2810, 204, 204, 268, 314, 888, 329, 456, 275, 722, 204, 268, 722, 31, 421, 289, 949, 68, 13328, 1320, 13, 768, 68, 1031, 14, 204, 268, 456, 13, 75, 7, 673, 542, 302, 3942, 311, 9007, 275, 2828, 353, 31, 463, 1300, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 8, 1094, 19, 948, 204, 531, 1907, 19, 1479, 532, 1094, 204, 531, 1907, 19, 4823, 19, 3340, 19, 1618, 532, 2221, 204, 204, 676, 11717, 13, 1618, 19, 1655, 330, 204, 264, 320, 204, 264, 332, 570, 2457, 273, 575, 677, 3680, 19, 204, 204, 264, 1532, 31, 204, 268, 575, 322, 2491, 330, 334, 575, 3610, 440, 808, 3680, 19, 204, 268, 6038, 322, 325, 330, 332, 3697, 6038, 302, 275, 575, 19, 204, 268, 1966, 68, 269, 322, 2664, 330, 334, 1489, 329, 690, 275, 3680, 867, 1966, 19, 204, 264, 320, 204, 204, 264, 575, 289, 1094, 19, 4483, 13, 204, 268, 314, 9918, 275, 3232, 570, 204, 268, 311, 34, 2491, 17, 204, 268, 314, 25921, 5996, 4032, 1330, 275, 3232, 575, 353, 8143, 204, 268, 523, 68, 2756, 34, 1618, 19, 5206, 17, 204, 268, 314, 1359, 275, 2874, 588, 348, 275, 1242, 204, 268, 2874, 68, 417, 833, 19351, 32208, 14962, 14952, 38569, 27490, 12, 204, 264, 1179, 204, 264, 6038, 289, 1094, 19, 7320, 13, 204, 268, 314, 1359, 275, 2874, 588, 348, 275, 1242, 204, 268, 2874, 68, 417, 833, 146, 245, 4374, 28622, 14723, 25229, 24437, 491, 204, 268, 314, 16104, 275, 1242, 311, 444, 4247, 204, 268, 4247, 34, 1021, 204, 264, 1179, 204, 264, 1966, 68, 269, 289, 1094, 19, 6602, 13, 204, 268, 314, 1359, 275, 6545, 68, 1520, 68, 826, 311, 959, 311, 15551, 758, 275, 1242, 311, 275, 790, 1489, 329, 690, 1330, 275, 1014, 353, 1966, 204, 268, 6545, 68, 1520, 68, 826, 34, 1021, 17, 204, 268, 314, 1359, 275, 2874, 588, 348, 275, 1242, 204, 268, 2874, 68, 417, 833, 27840, 20317, 3852, 17687, 43593, 9661, 17332, 24437, 12, 204, 264, 1179, 204, 204, 264, 436, 589, 325, 889, 327, 330, 204, 268, 320, 204, 268, 455, 273, 782, 2355, 302, 275, 3680, 19, 204, 268, 320, 204, 268, 407, 283, 12, 7839, 302, 463, 327, 19, 816, 19, 2574, 2867, 204, 204, 264, 850, 5694, 31, 204, 268, 320, 204, 268, 5694, 2914, 348, 275, 11717, 570, 19, 204, 268, 320, 204, 268, 314, 1359, 275, 2874, 588, 348, 275, 570, 204, 268, 2874, 68, 417, 289, 379, 19351, 5676, 3712, 25229, 4374, 27490, 12, 204, 268, 314, 1359, 275, 2874, 588, 18221, 348, 275, 570, 204, 268, 2874, 68, 417, 68, 9875, 289, 379, 19351, 5676, 3712, 25229, 4374, 29421, 12, 204, 0, 647, 10697, 448, 3347, 204, 531, 10697, 532, 14953, 204, 204, 676, 43007, 31, 204, 264, 320, 673, 667, 1472, 302, 275, 1650, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 7572, 31, 3347, 19, 7882, 14, 393, 443, 31, 204, 268, 320, 12413, 275, 2941, 1472, 1279, 204, 268, 370, 19, 8319, 289, 7572, 204, 268, 370, 19, 8319, 19, 11972, 499, 7077, 93, 7077, 431, 204, 268, 370, 19, 8319, 19, 1778, 499, 15918, 10406, 431, 204, 204, 268, 314, 666, 16062, 8982, 204, 268, 370, 19, 1510, 68, 34396, 68, 12766, 374, 204, 204, 264, 436, 838, 68, 34396, 68, 12766, 13, 327, 14, 393, 443, 31, 204, 268, 320, 5964, 16062, 8982, 1279, 204, 268, 314, 666, 1682, 1472, 2963, 204, 268, 1682, 68, 2225, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 8319, 17, 1068, 1022, 12219, 10406, 528, 1354, 34, 327, 19, 3664, 68, 2715, 68, 2225, 14, 204, 268, 1682, 68, 2225, 68, 2947, 19, 2700, 13, 937, 34, 21, 17, 1837, 34, 21, 14, 204, 204, 268, 314, 666, 12363, 2963, 204, 268, 12363, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 8319, 17, 1068, 1022, 18210, 528, 1354, 34, 327, 19, 8319, 19, 11207, 14, 204, 268, 12363, 68, 2947, 19, 2700, 13, 937, 34, 21, 17, 1837, 34, 22, 14, 204, 204, 264, 436, 1451, 68, 2715, 68, 2225, 13, 327, 14, 393, 443, 31, 204, 268, 320, 10936, 275, 1682, 1472, 1279, 204, 268, 1682, 68, 2225, 68, 2997, 289, 3347, 19, 48518, 13, 327, 19, 8319, 14, 204, 268, 17801, 6188, 13, 2715, 68, 2225, 68, 2997, 14, 204, 204, 676, 17801, 6188, 31, 204, 264, 320, 673, 1682, 1472, 302, 275, 1650, 1279, 204, 264, 436, 589, 924, 889, 327, 17, 7572, 31, 3347, 19, 48518, 14, 393, 443, 31, 204, 268, 320, 12413, 275, 1682, 1472, 1279, 204, 268, 370, 19, 8319, 289, 7572, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 268, 370, 19, 8319, 19, 11972, 499, 4589, 93, 4589, 431, 204, 268, 370, 19, 8319, 19, 1778, 499, 12219, 10406, 431, 204, 204, 268, 314, 666, 537, 2357, 329, 8982, 204, 268, 370, 19, 1510, 68, 768, 68, 3939, 374, 204, 268, 370, 19, 1510, 68, 12766, 374, 204, 204, 264, 436, 838, 68, 768, 68, 3939, 13, 327, 14, 393, 443, 31, 204, 268, 320, 5964, 537, 2357, 1279, 204, 268, 314, 666, 542, 368, 1800, 329, 2901, 204, 268, 370, 19, 920, 22, 68, 1676, 289, 3347, 19, 6872, 13, 327, 19, 8319, 17, 1068, 1022, 2101, 273, 542, 431, 204, 268, 370, 19, 920, 22, 68, 1676, 19, 2700, 13, 937, 34, 21, 17, 1837, 34, 21, 14, 204, 268, 370, 19, 920, 22, 289, 3347, 19, 24844, 10759, 374, 204, 268, 370, 19, 920, 22, 68, 4320, 289, 3347, 19, 8872, 13, 327, 19, 8319, 17, 31907, 34, 327, 19, 920, 22, 14, 204, 268, 370, 19, 920, 22, 68, 4320, 19, 2700, 13, 937, 34, 21, 17, 1837, 34, 22, 14, 204, 204, 268, 314, 666, 542, 435, 1800, 329, 2901, 204, 268, 370, 19, 920, 23, 68, 1676, 289, 3347, 19, 6872, 13, 327, 19, 8319, 17, 1068, 1022, 2101, 273, 1350, 542, 431, 204, 268, 370, 19, 920, 23, 68, 1676, 19, 2700, 13, 937, 34, 22, 17, 1837, 34, 21, 14, 204, 268, 370, 19, 920, 23, 289, 3347, 19, 24844, 10759, 374, 204, 268, 370, 19, 920, 23, 68, 4320, 289, 3347, 19, 8872, 13, 327, 19, 8319, 17, 31907, 34, 327, 19, 920, 23, 14, 204, 268, 370, 19, 920, 23, 68, 4320, 19, 2700, 13, 937, 34, 22, 17, 1837, 34, 22, 14, 204, 204, 268, 314, 666, 722, 1800, 204, 268, 370, 19, 1300, 68, 1676, 289, 3347, 19, 6872, 13, 327, 19, 8319, 17, 1068, 15768, 204, 268, 370, 19, 1300, 68, 1676, 19, 2700, 13, 937, 34, 23, 17, 1837, 34, 22, 14, 204, 204, 264, 436, 838, 68, 12766, 13, 327, 14, 393, 443, 31, 204, 268, 320, 5964, 8982, 1279, 204, 268, 314, 666, 881, 2963, 204, 268, 881, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 8319, 17, 1068, 1022, 18112, 3237, 311, 881, 528, 1354, 34, 327, 19, 826, 68, 1630, 14, 204, 268, 881, 68, 2947, 19, 2700, 13, 937, 34, 23, 17, 1837, 34, 21, 14, 204, 204, 268, 314, 666, 1818, 2963, 204, 268, 1818, 68, 2947, 289, 3347, 19, 6059, 13, 327, 19, 8319, 17, 1068, 1022, 9686, 9469, 9114, 528, 1354, 34, 327, 19, 8319, 19, 11207, 14, 204, 268, 1818, 68, 2947, 19, 2700, 13, 937, 34, 24, 17, 1837, 34, 21, 14, 204, 204, 264, 436, 881, 68, 1630, 13, 327, 14, 393, 443, 31, 204, 268, 320, 4421, 275, 970, 886, 329, 2037, 275, 722, 1279, 204, 268, 810, 31, 204, 305, 542, 22, 289, 370, 19, 920, 22, 19, 505, 374, 204, 305, 542, 23, 289, 370, 19, 920, 23, 19, 505, 374, 204, 305, 722, 289, 542, 22, 465, 542, 23, 204, 305, 370, 19, 1300, 68, 1676, 19, 1087, 13, 492, 34, 325, 13, 1300, 602, 204, 268, 827, 1319, 448, 318, 31, 204, 305, 14953, 19, 26641, 499, 596, 528, 394, 13, 74, 602, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 673, 667, 741, 1279, 204, 264, 667, 68, 2997, 289, 3347, 19, 7882, 374, 204, 264, 2941, 68, 2225, 289, 43007, 13, 660, 68, 2997, 14, 204, 264, 667, 68, 2997, 19, 14677, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 531, 5920, 532, 7664, 204, 647, 2821, 204, 647, 4305, 204, 531, 1498, 532, 783, 17, 1061, 204, 204, 461, 1137, 68, 481, 13, 2029, 31, 394, 14, 393, 783, 64, 1665, 744, 204, 264, 320, 204, 264, 1385, 424, 497, 437, 6057, 510, 1025, 273, 458, 302, 5239, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 588, 302, 275, 6057, 510, 19, 204, 204, 264, 475, 31, 204, 268, 783, 64, 1665, 744, 332, 458, 302, 5239, 17, 1273, 848, 955, 4504, 273, 1237, 292, 275, 6057, 510, 19, 204, 264, 320, 204, 264, 314, 1765, 275, 8784, 302, 808, 1763, 17, 572, 6356, 5257, 496, 275, 20413, 68, 633, 68, 8363, 741, 353, 4310, 13762, 204, 264, 314, 828, 508, 17, 872, 618, 732, 273, 4712, 2090, 3805, 311, 1151, 275, 6057, 510, 204, 264, 314, 497, 3805, 532, 1151, 68, 9671, 204, 264, 314, 407, 1151, 68, 9671, 13, 2029, 789, 633, 68, 873, 13, 20753, 833, 7485, 534, 204, 264, 1879, 226, 314, 4546, 440, 1214, 5581, 204, 204, 461, 949, 68, 9450, 13, 11687, 31, 7664, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 11985, 302, 273, 7688, 19, 204, 204, 264, 457, 31, 204, 268, 7688, 322, 15273, 330, 332, 7664, 726, 2457, 275, 7688, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 11985, 302, 275, 7688, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1113, 542, 302, 1842, 292, 275, 7688, 204, 264, 1113, 289, 1066, 13, 11687, 19, 1309, 1447, 204, 264, 397, 1113, 564, 500, 31, 204, 268, 407, 500, 19, 21, 204, 615, 264, 314, 888, 275, 11985, 974, 275, 2089, 31, 338, 1303, 13, 85, 540, 711, 23, 13, 85, 602, 204, 264, 407, 338, 1303, 13, 920, 802, 1113, 540, 2821, 19, 761, 13, 920, 802, 1113, 17, 435, 14, 348, 771, 292, 7688, 19, 1309, 374, 397, 771, 1323, 500, 14, 204, 204, 461, 949, 68, 1270, 13119, 13, 481, 31, 783, 64, 1665, 648, 1029, 68, 7605, 31, 394, 17, 3929, 31, 394, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 1483, 6061, 302, 437, 3929, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 1218, 64, 1665, 1037, 332, 458, 302, 5239, 17, 1273, 848, 955, 4504, 273, 1237, 292, 275, 424, 19, 204, 268, 1029, 68, 7605, 322, 325, 330, 334, 588, 302, 275, 1029, 3929, 19, 204, 268, 3929, 322, 325, 330, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 334, 588, 302, 275, 3929, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 1483, 6061, 302, 275, 3929, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1029, 3929, 1019, 329, 1017, 4442, 204, 264, 1029, 68, 7605, 68, 1309, 289, 551, 73, 64, 2170, 68, 7605, 66, 348, 303, 292, 424, 66, 204, 264, 7688, 289, 7664, 13, 2170, 68, 7605, 68, 1309, 14, 204, 615, 264, 314, 888, 275, 1483, 2518, 16782, 204, 264, 1483, 68, 12505, 289, 1245, 13, 481, 14, 540, 949, 68, 9450, 13, 11687, 14, 204, 204, 264, 314, 888, 275, 1113, 1483, 1877, 16782, 204, 264, 1113, 68, 15488, 289, 500, 19, 21, 204, 264, 348, 700, 292, 758, 13, 73, 64, 7605, 66, 348, 303, 292, 424, 330, 204, 268, 314, 4863, 275, 424, 1609, 523, 275, 790, 3929, 700, 204, 268, 4932, 68, 481, 289, 551, 73, 348, 303, 292, 424, 397, 303, 64, 7605, 66, 564, 700, 66, 204, 822, 268, 314, 888, 275, 7688, 329, 11985, 348, 275, 4932, 424, 204, 268, 4932, 68, 11687, 289, 7664, 13, 73, 64, 2170, 68, 7605, 66, 348, 303, 292, 4932, 68, 481, 14, 204, 268, 1113, 68, 15488, 1412, 1066, 13, 10975, 68, 11687, 19, 1309, 1447, 540, 949, 68, 9450, 13, 10975, 68, 11687, 14, 204, 615, 264, 314, 888, 275, 1483, 6061, 204, 264, 407, 1483, 68, 12505, 338, 1113, 68, 15488, 204, 204, 461, 2270, 68, 17475, 68, 3150, 13, 481, 31, 783, 64, 1665, 648, 1029, 68, 7605, 31, 394, 17, 4163, 31, 783, 64, 325, 694, 393, 1061, 31, 204, 264, 320, 204, 264, 4908, 273, 6646, 2192, 497, 275, 424, 19, 204, 204, 264, 457, 31, 204, 268, 424, 322, 1218, 64, 1665, 1037, 332, 458, 302, 5239, 17, 1273, 848, 955, 4504, 273, 1237, 292, 275, 424, 19, 204, 268, 1029, 68, 7605, 322, 325, 330, 334, 588, 302, 275, 1029, 3929, 19, 204, 268, 4163, 322, 1218, 64, 325, 1037, 332, 458, 302, 3929, 1987, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 332, 955, 2457, 275, 6646, 2192, 19, 204, 264, 320, 204, 264, 314, 778, 397, 830, 1029, 3929, 1019, 529, 275, 1729, 204, 264, 1029, 68, 7605, 68, 1309, 289, 551, 73, 64, 2170, 68, 7605, 66, 348, 303, 292, 424, 66, 204, 264, 397, 1245, 13, 574, 13, 2170, 68, 7605, 68, 1309, 602, 564, 368, 31, 204, 268, 407, 1029, 68, 7605, 68, 1309, 64, 21, 66, 204, 615, 264, 314, 778, 397, 1422, 529, 1236, 1182, 4163, 311, 3404, 523, 204, 264, 397, 508, 4163, 31, 204, 268, 314, 455, 275, 1901, 2323, 1029, 3929, 700, 204, 268, 407, 7664, 13, 2170, 68, 7605, 68, 1309, 789, 4425, 68, 4608, 13, 22, 5604, 21, 1799, 21, 66, 204, 615, 264, 314, 888, 275, 1483, 6061, 348, 848, 3929, 204, 264, 4163, 68, 1270, 13119, 289, 463, 7605, 31, 949, 68, 1270, 13119, 13, 481, 17, 1029, 68, 7605, 17, 3929, 14, 348, 3929, 292, 4163, 98, 204, 615, 264, 314, 11420, 275, 3929, 440, 275, 6862, 1483, 6061, 204, 264, 2765, 68, 7605, 289, 846, 13, 7406, 68, 1270, 13119, 17, 896, 34, 7406, 68, 1270, 13119, 19, 505, 14, 204, 615, 264, 314, 3182, 275, 7540, 3929, 497, 275, 458, 302, 4163, 204, 264, 4017, 68, 7406, 289, 551, 7605, 348, 3929, 292, 4163, 397, 3929, 2167, 2765, 68, 7605, 66, 204, 615, 264, 314, 666, 273, 717, 944, 292, 275, 6646, 2192, 204, 264, 2192, 289, 2087, 204, 264, 348, 700, 292, 758, 13, 73, 64, 6222, 68, 7605, 66, 348, 303, 292, 424, 330, 204, 268, 314, 4863, 275, 424, 1609, 523, 275, 790, 3929, 700, 204, 268, 4932, 68, 481, 289, 551, 73, 348, 303, 292, 424, 397, 303, 64, 6222, 68, 7605, 66, 564, 700, 66, 204, 822, 268, 314, 8276, 2270, 275, 6646, 2192, 348, 275, 4932, 424, 204, 268, 2192, 64, 876, 66, 289, 2270, 68, 17475, 68, 3150, 13, 10975, 68, 481, 17, 1029, 68, 7605, 17, 4017, 68, 7406, 14, 204, 615, 264, 314, 455, 275, 6646, 2192, 204, 264, 407, 463, 6222, 68, 7605, 31, 2192, 98, 204, 204, 461, 6646, 68, 3150, 13, 2029, 31, 394, 17, 1029, 68, 7605, 31, 394, 14, 393, 1061, 31, 204, 264, 320, 204, 264, 4908, 273, 6646, 2192, 497, 437, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 268, 2049, 322, 325, 330, 334, 588, 302, 275, 6057, 510, 19, 204, 268, 1029, 68, 7605, 322, 325, 330, 334, 588, 302, 275, 1029, 3929, 19, 204, 204, 264, 475, 31, 204, 268, 1061, 31, 332, 955, 2457, 275, 6646, 2192, 19, 204, 264, 320, 204, 264, 424, 289, 1137, 68, 481, 13, 2029, 14, 204, 264, 4163, 289, 551, 644, 348, 896, 292, 424, 64, 21, 1664, 3261, 374, 397, 896, 2167, 1029, 68, 7605, 66, 204, 264, 407, 2270, 68, 17475, 68, 3150, 13, 481, 17, 1029, 68, 7605, 17, 4163, 14, 204, 204, 676, 1295, 22197, 4833, 13, 8102, 19, 5418, 330, 204, 264, 436, 683, 68, 3446, 68, 9450, 13, 327, 330, 204, 268, 7688, 289, 7664, 6758, 38, 597, 720, 17, 379, 39, 597, 1233, 1937, 204, 268, 370, 19, 26948, 13, 3446, 68, 9450, 13, 11687, 659, 500, 19, 30, 2169, 40166, 4957, 7745, 46205, 45475, 14, 204, 204, 264, 436, 683, 68, 3446, 68, 1270, 13119, 13, 327, 330, 204, 268, 424, 289, 21919, 38, 597, 379, 22, 491, 379, 39, 597, 379, 70, 7984, 2552, 38, 597, 379, 22, 491, 379, 39, 597, 379, 71, 7984, 2552, 38, 597, 379, 23, 491, 379, 39, 597, 379, 71, 6241, 66, 204, 268, 370, 19, 26948, 13, 3446, 68, 1270, 13119, 13, 481, 17, 379, 38, 491, 379, 39, 2008, 500, 19, 30, 2132, 4734, 8667, 35689, 8258, 4553, 5007, 14, 204, 204, 264, 436, 683, 68, 3751, 68, 17475, 68, 3150, 13, 327, 330, 204, 268, 424, 289, 21919, 38, 597, 379, 22, 491, 379, 39, 597, 379, 70, 7984, 2552, 38, 597, 379, 22, 491, 379, 39, 597, 379, 71, 7984, 2552, 38, 597, 379, 23, 491, 379, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 39, 597, 379, 71, 6241, 66, 204, 268, 2192, 289, 2270, 68, 17475, 68, 3150, 13, 481, 17, 379, 38, 491, 2470, 39, 2378, 204, 268, 370, 19, 2978, 13, 3150, 17, 2552, 39, 597, 2552, 70, 597, 379, 22, 491, 379, 71, 597, 379, 22, 6241, 1937, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 4305, 19, 660, 374, 204, 0, 658, 334, 14373, 608, 302, 275, 3839, 9625, 204, 204, 673, 14248, 302, 273, 6220, 1330, 572, 1879, 311, 1163, 3415, 2397, 618, 444, 1193, 974, 275, 2631, 3214, 31, 204, 204, 3661, 677, 2506, 273, 3542, 6220, 686, 57, 31, 59, 65, 13234, 628, 9, 329, 3864, 273, 7032, 1743, 1735, 65, 3164, 81, 1039, 296, 65, 16968, 65, 1633, 65, 7449, 78, 34, 22, 8611, 83, 9, 311, 636, 275, 1525, 204, 204, 4292, 5799, 265, 68, 78, 67, 79, 6958, 20241, 781, 65, 87, 1039, 313, 65, 81, 1039, 296, 65, 16968, 9, 204, 204, 673, 2089, 348, 275, 14248, 10428, 204, 204, 4292, 5799, 65, 14779, 13, 57, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 433, 68, 80, 8814, 1460, 13, 80, 4150, 6958, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 9, 204, 204, 673, 14248, 302, 275, 3415, 2397, 353, 204, 204, 4292, 5799, 65, 14779, 13, 57, 24778, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 24778, 65, 81, 1039, 724, 65, 16968, 6958, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 724, 65, 87, 1039, 313, 65, 81, 1039, 65, 1460, 13, 80, 6239, 16968, 9, 204, 204, 3609, 38347, 275, 6177, 17, 572, 636, 204, 204, 4292, 5799, 65, 14779, 13, 57, 24778, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 5373, 22, 7293, 80, 6239, 87, 1039, 313, 65, 81, 1039, 65, 1460, 3453, 1460, 5373, 22, 7293, 80, 602, 65, 16968, 6958, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 5373, 22, 7293, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 9, 204, 204, 4592, 1743, 1460, 9, 10207, 1048, 275, 12713, 1627, 686, 56, 68, 83, 2543, 754, 1583, 1163, 6276, 1743, 1460, 5373, 22, 4742, 4087, 572, 304, 1676, 311, 1020, 204, 204, 4292, 5799, 65, 14779, 13, 57, 24778, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 9, 204, 204, 1834, 353, 275, 1729, 448, 275, 2089, 348, 275, 14248, 302, 686, 57, 9, 5398, 19, 6263, 17, 1330, 572, 3074, 275, 17478, 302, 273, 1525, 17, 572, 4006, 2964, 2652, 1163, 14248, 19, 204, 204, 3070, 3700, 7086, 1351, 5685, 17, 1273, 3415, 2397, 88, 18225, 311, 20956, 1102, 4973, 17, 572, 874, 204, 204, 4292, 5799, 65, 14779, 13, 57, 24778, 21039, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 17546, 3164, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 18462, 17546, 3164, 1303, 65, 12456, 13795, 1460, 65, 266, 387, 68, 83, 2277, 9305, 96, 88, 1705, 18560, 1460, 6239, 13879, 65, 12456, 1859, 80, 34, 22, 8611, 83, 65, 20241, 65, 1460, 13, 80, 6239, 87, 1039, 313, 65, 81, 1039, 724, 65, 16968, 18462, 17546, 3164, 14779, 13, 57, 18016, 204, 204, 673, 14248, 302, 275, 3415, 2397, 353, 275, 3700, 20956, 302, 275, 14248, 19, 0, 531, 3479, 36804, 19, 2005, 19, 32454, 19, 91, 23, 532, 10537, 204, 531, 3479, 36804, 19, 7082, 19, 4375, 19, 2005, 532, 1034, 448, 3923, 68, 772, 204, 204, 8, 4861, 204, 24352, 68, 8516, 289, 379, 32723, 730, 12, 204, 6930, 68, 12110, 68, 20991, 289, 379, 3664, 4173, 18, 2005, 18, 12761, 18, 2256, 12, 204, 5605, 68, 12110, 68, 20991, 289, 379, 3664, 4173, 18, 2005, 18, 16052, 18, 2256, 12, 204, 34460, 68, 12110, 68, 20991, 289, 379, 3664, 4173, 18, 2005, 18, 2256, 12, 204, 6217, 35208, 68, 12110, 68, 40783, 289, 500, 19, 22, 204, 204, 676, 1295, 30064, 11596, 13, 2005, 68, 772, 19, 3295, 10254, 2346, 330, 204, 264, 320, 204, 264, 5458, 348, 7203, 2256, 6886, 19, 204, 204, 264, 1058, 850, 3192, 4394, 348, 1792, 7203, 2256, 13761, 17, 2864, 31, 204, 264, 338, 595, 7600, 4376, 2585, 204, 264, 338, 4222, 1713, 7203, 2256, 204, 264, 338, 2991, 1545, 440, 717, 1893, 2585, 204, 264, 338, 30247, 274, 7203, 2256, 204, 264, 338, 28537, 14494, 2585, 204, 264, 320, 204, 204, 264, 314, 12719, 3583, 292, 275, 6955, 458, 958, 204, 264, 6955, 68, 655, 68, 1935, 68, 3261, 289, 551, 204, 268, 379, 359, 491, 379, 7037, 491, 379, 1129, 68, 2256, 491, 379, 885, 68, 2256, 491, 379, 1835, 12, 204, 264, 2437, 204, 204, 264, 436, 9498, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5313, 719, 275, 683, 1964, 19, 204, 268, 320, 204, 268, 2234, 1528, 30469, 374, 204, 204, 264, 436, 683, 68, 24453, 68, 11393, 68, 2256, 13, 327, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 273, 9263, 4376, 2585, 2584, 273, 2846, 27, 908, 19, 204, 268, 320, 204, 268, 314, 968, 275, 9263, 4376, 2585, 204, 268, 9263, 68, 11393, 68, 2256, 289, 379, 1003, 12, 204, 822, 268, 314, 2878, 273, 4559, 824, 440, 275, 9263, 4376, 2585, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 13, 204, 305, 5014, 91, 23, 491, 204, 305, 3496, 7860, 10936, 13292, 18, 4093, 18, 11223, 597, 283, 4705, 24352, 68, 8516, 98, 463, 24453, 68, 11393, 68, 2256, 2867, 1522, 204, 305, 7523, 68, 6240, 34, 1021, 17, 407, 68, 1775, 34, 1975, 204, 268, 1179, 204, 822, 268, 314, 778, 275, 958, 1714, 329, 1666, 1187, 204, 268, 370, 19, 2978, 611, 5580, 20, 1775, 491, 958, 19, 2387, 68, 932, 14, 204, 268, 370, 19, 2978, 13, 28575, 17, 958, 19, 1835, 68, 339, 14, 204, 822, 268, 314, 778, 275, 908, 943, 204, 268, 1812, 68, 718, 68, 5000, 289, 379, 1962, 700, 348, 3594, 13292, 18, 4093, 18, 11223, 3494, 12, 204, 268, 370, 19, 9672, 13, 1935, 19, 1775, 736, 718, 68, 1454, 2378, 204, 268, 370, 19, 14892, 13, 5477, 68, 718, 68, 5000, 17, 958, 19, 1775, 736, 718, 68, 1454, 2378, 204, 204, 264, 436, 683, 68, 12020, 68, 41401, 68, 17648, 2256, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 275, 1540, 7203, 2256, 353, 1376, 1330, 508, 1713, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2311, 329, 1646, 10537, 204, 268, 1006, 68, 2256, 289, 10537, 19, 885, 68, 2256, 68, 1031, 374, 204, 268, 846, 68, 2256, 289, 10537, 19, 1129, 68, 2256, 68, 1031, 374, 204, 822, 268, 314, 2878, 273, 4559, 824, 2900, 30919, 275, 7203, 2256, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 4195, 91, 23, 491, 407, 68, 1775, 34, 1975, 14, 204, 822, 268, 314, 778, 275, 958, 3496, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 6930, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 5605, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 34460, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 822, 268, 314, 778, 275, 958, 3583, 204, 268, 370, 19, 9672, 13, 668, 13, 644, 292, 958, 19, 1775, 19, 3261, 374, 348, 896, 292, 370, 19, 7294, 68, 655, 68, 1935, 68, 3261, 602, 204, 204, 264, 436, 683, 68, 1957, 68, 1723, 68, 1957, 68, 2005, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 273, 717, 1545, 440, 273, 717, 1893, 2585, 2584, 275, 1706, 3496, 19, 204, 268, 320, 204, 268, 314, 968, 275, 717, 1893, 2585, 204, 268, 717, 68, 2005, 68, 2256, 289, 379, 23, 19, 21, 12, 204, 822, 268, 314, 763, 275, 2311, 329, 1646, 10537, 204, 268, 1006, 68, 2256, 289, 10537, 19, 885, 68, 2256, 68, 1031, 374, 204, 268, 846, 68, 2256, 289, 10537, 19, 1129, 68, 2256, 68, 1031, 374, 204, 822, 268, 314, 2878, 273, 4559, 824, 440, 275, 717, 1893, 2585, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 13, 204, 305, 5014, 91, 23, 491, 204, 305, 3496, 7860, 10936, 13292, 18, 4093, 18, 11223, 597, 283, 4705, 24352, 68, 8516, 98, 463, 1957, 68, 2005, 68, 2256, 2867, 1522, 204, 305, 407, 68, 1775, 34, 1975, 204, 268, 1179, 204, 822, 268, 314, 778, 275, 958, 3496, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 6930, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 5605, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 34460, 68, 12110, 68, 20991, 648, 717, 68, 2005, 68, 2256, 14, 204, 822, 268, 314, 778, 275, 958, 3583, 204, 268, 370, 19, 9672, 13, 668, 13, 644, 292, 958, 19, 1775, 19, 3261, 374, 348, 896, 292, 370, 19, 7294, 68, 655, 68, 1935, 68, 3261, 602, 204, 204, 264, 436, 683, 68, 12142, 68, 17648, 2256, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 275, 7663, 7203, 2256, 2584, 275, 1706, 3496, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2311, 329, 1646, 10537, 204, 268, 1006, 68, 2256, 289, 10537, 19, 885, 68, 2256, 68, 1031, 374, 204, 268, 846, 68, 2256, 289, 10537, 19, 1129, 68, 2256, 68, 1031, 374, 204, 822, 268, 314, 2878, 273, 4559, 824, 440, 275, 7663, 7203, 2256, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 13, 204, 305, 5014, 91, 23, 491, 204, 305, 3496, 7860, 10936, 13292, 18, 4093, 18, 11223, 597, 283, 4705, 24352, 68, 8516, 98, 7663, 7984, 204, 305, 407, 68, 1775, 34, 1975, 204, 268, 1179, 204, 822, 268, 314, 778, 275, 958, 3496, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 6930, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 5605, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 34460, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 822, 268, 314, 778, 275, 958, 3583, 204, 268, 370, 19, 9672, 13, 668, 13, 644, 292, 958, 19, 1775, 19, 3261, 374, 348, 896, 292, 370, 19, 7294, 68, 655, 68, 1935, 68, 3261, 602, 204, 204, 264, 436, 683, 68, 350, 15288, 68, 2256, 13, 327, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5458, 496, 437, 30387, 2585, 2584, 273, 2846, 27, 908, 19, 204, 268, 320, 204, 268, 314, 763, 275, 2311, 329, 1646, 10537, 204, 268, 1006, 68, 2256, 289, 10537, 19, 885, 68, 2256, 68, 1031, 374, 204, 268, 846, 68, 2256, 289, 10537, 19, 1129, 68, 2256, 68, 1031, 374, 204, 822, 268, 314, 968, 275, 30387, 2585, 204, 268, 30387, 68, 2256, 289, 394, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 13, 996, 13, 1129, 68, 2256, 14, 465, 548, 7596, 58, 26259, 68, 12110, 68, 40783, 14, 204, 822, 268, 314, 2878, 273, 4559, 824, 440, 275, 30387, 2585, 204, 268, 958, 289, 370, 19, 505, 68, 1775, 13, 204, 305, 5014, 91, 23, 491, 204, 305, 3496, 7860, 10936, 13292, 18, 4093, 18, 11223, 597, 283, 4705, 24352, 68, 8516, 98, 463, 350, 15288, 68, 2256, 2867, 1522, 204, 305, 7523, 68, 6240, 34, 1021, 204, 268, 1179, 204, 822, 268, 314, 778, 275, 958, 1714, 204, 268, 370, 19, 2978, 13, 28575, 17, 958, 19, 1835, 68, 339, 14, 204, 822, 268, 314, 778, 275, 958, 3496, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 6930, 68, 12110, 68, 20991, 648, 1006, 68, 2256, 14, 204, 268, 370, 19, 2978, 13, 1935, 19, 5093, 64, 5605, 68, 12110, 68, 20991, 648, 846, 68, 2256, 14, 204, 822, 268, 314, 778, 275, 908, 943, 204, 268, 1812, 68, 718, 68, 5000, 289, 322, 204, 305, 283, 12, 11223, 463, 350, 15288, 68, 2256, 98, 867, 13112, 1101, 275, 10908, 379, 204, 305, 379, 2256, 353, 508, 6300, 560, 808, 3158, 19, 379, 204, 305, 283, 12, 673, 6300, 2585, 933, 353, 463, 885, 68, 2256, 15135, 1129, 68, 2256, 2867, 204, 268, 1179, 204, 268, 370, 19, 9672, 13, 1935, 19, 1775, 736, 718, 68, 1454, 2378, 204, 268, 370, 19, 14892, 13, 5477, 68, 718, 68, 5000, 17, 958, 19, 1775, 736, 718, 68, 1454, 2378, 204, 0, 315, 204, 1834, 3467, 12938, 1662, 311, 838, 329, 9749, 273, 3277, 1104, 974, 11124, 19, 204, 315, 204, 204, 647, 6632, 24, 204, 531, 1498, 532, 1535, 204, 204, 461, 838, 68, 2819, 13, 1479, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2605, 273, 717, 11124, 1104, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 838, 19, 204, 264, 320, 204, 264, 314, 6370, 311, 275, 11124, 1104, 19, 828, 275, 1104, 1583, 508, 1337, 17, 490, 1120, 444, 1966, 19, 204, 264, 5828, 289, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 204, 264, 3370, 289, 5828, 19, 4322, 374, 204, 204, 264, 314, 666, 273, 717, 1435, 3250, 379, 8929, 12, 440, 970, 2630, 31, 379, 1976, 68, 3366, 12, 329, 379, 2391, 68, 3366, 2625, 204, 264, 3370, 19, 4118, 22811, 204, 268, 16254, 12409, 13111, 7845, 15731, 7777, 322, 204, 305, 1276, 15833, 18432, 13190, 17, 204, 305, 790, 68, 3366, 11817, 17, 204, 305, 1673, 68, 3366, 11817, 204, 268, 1179, 204, 264, 30549, 204, 204, 264, 314, 8588, 275, 3731, 329, 3671, 275, 1727, 19, 204, 264, 5828, 19, 4827, 374, 204, 264, 5828, 19, 3529, 374, 204, 204, 461, 9749, 68, 1867, 13, 1479, 68, 417, 31, 394, 14, 393, 443, 31, 204, 264, 320, 204, 264, 37377, 275, 379, 8929, 12, 1435, 560, 5209, 273, 1540, 700, 302, 443, 329, 273, 1646, 1277, 302, 5074, 2724, 311, 275, 379, 1976, 68, 3366, 12, 329, 379, 2391, 68, 3366, 12, 2357, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 9749, 19, 204, 264, 320, 204, 264, 314, 6370, 311, 275, 11124, 1104, 19, 204, 264, 5828, 289, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 204, 264, 3370, 289, 5828, 19, 4322, 374, 204, 204, 264, 314, 20066, 275, 379, 1976, 68, 3366, 12, 1242, 311, 874, 273, 1540, 700, 302, 443, 329, 273, 1646, 1277, 302, 5074, 2724, 19, 204, 264, 314, 9076, 31, 11124, 1583, 508, 2886, 42087, 275, 1277, 302, 273, 1837, 17, 754, 572, 1120, 838, 273, 717, 1435, 440, 275, 5846, 1837, 329, 1675, 4066, 275, 3299, 1435, 19, 204, 264, 3370, 19, 4118, 22811, 204, 268, 16254, 12409, 7777, 68, 1957, 322, 204, 305, 1276, 15833, 18432, 13190, 17, 204, 305, 790, 68, 3366, 11817, 8719, 12057, 43685, 13, 8327, 13, 1976, 68, 3366, 14, 2186, 5074, 659, 204, 305, 1673, 68, 3366, 11817, 8719, 12057, 43685, 13, 8327, 13, 2391, 68, 3366, 14, 2186, 5074, 14, 204, 268, 1179, 204, 264, 30549, 204, 204, 264, 314, 10235, 275, 424, 497, 275, 3299, 1435, 311, 275, 717, 1435, 19, 204, 264, 3370, 19, 4118, 611, 7097, 540, 7281, 7777, 534, 204, 264, 3015, 289, 3370, 19, 13208, 374, 204, 264, 348, 1237, 292, 3015, 31, 204, 268, 3370, 19, 4118, 611, 14483, 12377, 7777, 68, 1957, 322, 359, 17, 790, 68, 3366, 17, 1673, 68, 3366, 14, 12804, 22709, 13173, 5478, 11938, 1237, 14, 204, 204, 264, 314, 9738, 275, 3299, 1435, 329, 15549, 275, 717, 1435, 311, 275, 3299, 1435, 677, 588, 19, 204, 264, 3370, 19, 4118, 611, 33708, 12409, 7777, 534, 204, 264, 3370, 19, 4118, 611, 1889, 4524, 12409, 7777, 68, 1957, 361, 1888, 11023, 8450, 7777, 534, 204, 204, 264, 314, 8588, 275, 3731, 329, 3671, 275, 1727, 19, 204, 264, 5828, 19, 4827, 374, 204, 264, 5828, 19, 3529, 374, 204, 204, 461, 4482, 68, 481, 13, 1479, 68, 417, 31, 394, 17, 790, 68, 3366, 31, 1535, 64, 325, 648, 1673, 68, 3366, 31, 1535, 64, 325, 694, 393, 443, 31, 204, 264, 320, 204, 264, 17327, 424, 1025, 275, 379, 8929, 12, 1435, 19, 204, 204, 264, 457, 31, 204, 268, 1863, 68, 417, 322, 325, 330, 334, 588, 302, 275, 1104, 311, 4482, 424, 1025, 19, 204, 268, 790, 68, 3366, 322, 4437, 64, 325, 1037, 334, 790, 2852, 19, 204, 268, 1673, 68, 3366, 322, 4437, 64, 325, 1037, 334, 1673, 2852, 19, 204, 264, 320, 204, 264, 314, 6370, 311, 275, 11124, 1104, 19, 204, 264, 5828, 289, 6632, 24, 19, 2933, 13, 1479, 68, 417, 14, 204, 264, 3370, 289, 5828, 19, 4322, 374, 204, 204, 264, 314, 6461, 424, 1025, 275, 379, 8929, 12, 1435, 19, 204, 264, 3370, 19, 4118, 611, 14483, 12377, 7777, 322, 1976, 68, 3366, 17, 1673, 68, 3366, 14, 12804, 22709, 5478, 11938, 322, 1976, 68, 3366, 17, 1673, 68, 3366, 602, 204, 204, 264, 314, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 8588, 275, 3731, 329, 3671, 275, 1727, 19, 204, 264, 5828, 19, 4827, 374, 204, 264, 5828, 19, 3529, 374, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 1863, 68, 417, 289, 379, 8929, 19, 1479, 12, 204, 264, 838, 68, 2819, 13, 1479, 68, 417, 14, 204, 264, 9749, 68, 1867, 13, 1479, 68, 417, 14, 204, 264, 4482, 68, 481, 13, 1479, 68, 417, 17, 379, 6001, 6751, 491, 379, 31919, 21880, 534, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 837, 36918, 17, 273, 2905, 1324, 3299, 30859, 493, 266, 322, 285, 2365, 13477, 364, 14, 46908, 273, 11118, 1025, 273, 22588, 292, 1552, 311, 401, 1474, 685, 1051, 302, 1704, 41153, 19, 4168, 566, 9453, 6204, 17, 566, 1193, 709, 366, 1320, 19, 334, 20428, 1020, 4489, 23980, 43126, 19, 2695, 1118, 23084, 874, 14814, 523, 970, 4549, 31, 275, 1301, 328, 3084, 5698, 329, 275, 14044, 45426, 19, 8278, 529, 1017, 896, 12074, 19, 334, 20289, 3762, 301, 16711, 867, 19882, 19, 20462, 275, 42776, 529, 42853, 1841, 3329, 17, 273, 24647, 17, 273, 45727, 4308, 17, 3245, 1008, 884, 24307, 17, 273, 14142, 17, 17286, 88, 17, 437, 16437, 336, 2691, 329, 7496, 279, 2003, 853, 2090, 808, 1051, 19, 33943, 10846, 1429, 302, 1605, 1466, 5082, 560, 275, 27456, 19, 332, 3403, 41810, 440, 1048, 1051, 13690, 47631, 867, 1425, 10921, 19, 2416, 1489, 17, 1048, 2031, 45426, 874, 1742, 26287, 756, 19, 334, 22021, 1947, 274, 1051, 867, 5544, 6172, 5501, 19, 2846, 45426, 4489, 1429, 24703, 19, 332, 26577, 874, 7758, 10501, 368, 17, 1207, 39515, 19, 9496, 302, 1605, 31384, 709, 366, 1320, 1466, 39875, 6204, 302, 3245, 14540, 19, 334, 17294, 6973, 1466, 5052, 3332, 2031, 10355, 19, 0, 461, 636, 68, 816, 68, 768, 13, 4202, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 3596, 575, 537, 497, 275, 6474, 19, 204, 204, 264, 457, 31, 204, 268, 3176, 322, 325, 330, 334, 3176, 311, 2037, 311, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 575, 677, 537, 19, 204, 264, 320, 204, 264, 407, 537, 13, 4202, 14, 204, 204, 461, 2252, 68, 579, 68, 2820, 13, 579, 68, 2820, 31, 394, 14, 393, 458, 64, 339, 744, 204, 264, 320, 204, 264, 9246, 437, 3877, 1995, 1025, 1163, 3420, 3576, 19, 204, 204, 264, 457, 31, 204, 268, 6344, 68, 2820, 322, 325, 330, 334, 3877, 1995, 311, 2252, 19, 204, 204, 264, 475, 31, 204, 268, 458, 64, 339, 744, 334, 3420, 3576, 302, 275, 3877, 1995, 448, 1892, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 3877, 1995, 1025, 1163, 3420, 3576, 204, 264, 6344, 68, 6719, 289, 6344, 68, 2820, 19, 1590, 16039, 204, 204, 264, 314, 3866, 329, 1814, 848, 1085, 311, 437, 1534, 204, 264, 810, 31, 204, 268, 6344, 68, 6719, 289, 551, 339, 13, 1819, 14, 348, 1085, 292, 6344, 68, 6719, 66, 204, 264, 827, 987, 31, 204, 268, 980, 987, 499, 1962, 3877, 1995, 19, 7616, 1085, 1631, 444, 273, 542, 1280, 204, 204, 264, 407, 6344, 68, 6719, 204, 204, 461, 3822, 68, 579, 68, 676, 13, 2922, 68, 48462, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 20783, 275, 3877, 850, 1609, 523, 275, 1043, 14147, 310, 19, 204, 204, 264, 457, 31, 204, 268, 1043, 68, 48462, 322, 339, 330, 334, 1043, 14147, 310, 302, 275, 3877, 1995, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 3877, 850, 322, 38, 17, 565, 17, 346, 17, 521, 9508, 789, 204, 264, 320, 204, 264, 314, 4347, 275, 3877, 850, 1609, 523, 275, 1043, 14147, 310, 204, 264, 397, 1043, 68, 48462, 2186, 20571, 31, 204, 268, 407, 379, 3317, 332, 12, 204, 264, 1677, 1043, 68, 48462, 2186, 48800, 31, 204, 268, 407, 379, 3317, 565, 12, 204, 264, 1677, 1043, 68, 48462, 2186, 47762, 31, 204, 268, 407, 379, 3317, 346, 12, 204, 264, 902, 31, 204, 268, 407, 379, 1962, 3877, 1995, 12, 204, 204, 461, 3893, 68, 579, 68, 2820, 13, 579, 68, 2820, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 11149, 437, 3877, 1995, 19, 204, 204, 264, 457, 31, 204, 268, 6344, 68, 2820, 322, 325, 330, 334, 3877, 1995, 311, 3893, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 3877, 1995, 353, 1097, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 2735, 275, 3877, 1995, 1025, 1163, 3420, 3576, 204, 264, 6344, 68, 6719, 289, 6344, 68, 2820, 19, 1590, 16039, 204, 204, 264, 314, 778, 397, 275, 3877, 1995, 869, 3420, 3576, 204, 264, 397, 1245, 13, 579, 68, 6719, 14, 2167, 681, 31, 204, 268, 407, 1078, 204, 204, 264, 314, 778, 397, 848, 1085, 353, 273, 542, 1283, 500, 329, 4580, 204, 264, 348, 1085, 292, 6344, 68, 6719, 31, 204, 268, 810, 31, 204, 305, 771, 289, 421, 13, 1819, 14, 204, 305, 397, 771, 962, 500, 521, 771, 1323, 4580, 31, 204, 485, 407, 1078, 204, 268, 827, 987, 31, 204, 305, 407, 1078, 204, 204, 264, 407, 959, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 3338, 2548, 3546, 19, 204, 264, 320, 204, 264, 456, 499, 1834, 2548, 1120, 6721, 872, 275, 850, 302, 1214, 3877, 65, 83, 65, 83, 431, 204, 204, 264, 1335, 959, 31, 204, 268, 314, 763, 275, 3877, 1995, 497, 275, 575, 204, 268, 6344, 68, 2820, 289, 636, 68, 816, 68, 768, 611, 2101, 437, 3877, 1995, 31, 6947, 204, 204, 268, 314, 3866, 275, 3877, 1995, 204, 268, 397, 508, 3893, 68, 579, 68, 2820, 13, 579, 68, 2820, 330, 204, 305, 456, 611, 1962, 3877, 1995, 19, 2982, 810, 2528, 5901, 204, 305, 3524, 204, 204, 268, 314, 2735, 275, 3877, 1995, 1025, 1163, 3420, 3576, 204, 268, 6344, 68, 6719, 289, 2252, 68, 579, 68, 2820, 13, 579, 68, 2820, 14, 204, 204, 268, 314, 4347, 275, 3877, 850, 204, 268, 6344, 68, 676, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 289, 3822, 68, 579, 68, 676, 13, 579, 68, 6719, 64, 21, 694, 204, 204, 268, 314, 1198, 275, 722, 204, 268, 397, 6344, 68, 676, 564, 379, 1962, 3877, 1995, 597, 204, 305, 456, 611, 41436, 9453, 9263, 2152, 13, 7941, 3877, 6911, 440, 273, 542, 3114, 1194, 47762, 11953, 204, 268, 902, 31, 204, 305, 456, 13, 75, 4705, 579, 68, 2820, 98, 353, 463, 579, 68, 676, 3501, 204, 204, 268, 314, 8716, 275, 575, 397, 1250, 3480, 311, 2064, 3161, 3877, 1995, 204, 268, 958, 289, 636, 68, 816, 68, 768, 611, 35407, 872, 2090, 311, 2064, 3161, 3877, 1995, 36, 13, 94, 20, 83, 14, 6947, 204, 268, 397, 958, 19, 3006, 374, 2167, 379, 94, 597, 204, 305, 2280, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 5683, 204, 531, 11063, 47779, 532, 11063, 47779, 204, 531, 11063, 47779, 19, 38857, 19, 32552, 532, 322, 204, 264, 20754, 17, 204, 264, 30085, 22591, 8177, 88, 17, 204, 264, 30085, 7822, 39852, 17, 204, 264, 48027, 286, 22591, 5619, 17, 204, 264, 42209, 371, 340, 42, 11321, 316, 17, 204, 264, 33274, 204, 14, 204, 531, 11063, 47779, 19, 38857, 19, 5346, 88, 532, 322, 204, 264, 10442, 1717, 5346, 17, 204, 264, 36610, 8177, 22763, 17, 204, 264, 35059, 17, 204, 264, 36610, 8177, 2191, 17, 204, 264, 36610, 8177, 11223, 204, 14, 204, 204, 37, 6598, 19, 2472, 19, 12349, 611, 21841, 353, 1236, 6397, 273, 6300, 2086, 348, 275, 10470, 4748, 534, 204, 37, 6598, 19, 2472, 19, 16402, 499, 5273, 528, 551, 22, 17, 14692, 7326, 17, 38372, 23, 17, 681, 694, 204, 461, 683, 68, 6267, 68, 13411, 68, 271, 68, 747, 68, 20778, 6047, 13, 5273, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 10470, 20754, 2086, 4238, 3537, 5107, 19, 204, 204, 264, 1058, 683, 1322, 11208, 275, 10470, 20754, 2086, 329, 1163, 12186, 440, 3537, 5107, 19, 204, 264, 1547, 4394, 275, 12146, 6657, 5194, 329, 12146, 2364, 6171, 5107, 19, 204, 264, 320, 204, 264, 314, 666, 11063, 47779, 1964, 204, 264, 3479, 36804, 289, 11063, 47779, 13, 546, 833, 546, 20, 633, 20, 18400, 19, 9648, 491, 2291, 833, 4098, 534, 204, 264, 3479, 36804, 19, 574, 68, 5273, 13, 5273, 14, 204, 204, 264, 314, 763, 10470, 2067, 1222, 204, 264, 5631, 68, 2488, 289, 3479, 36804, 19, 505, 68, 11483, 611, 23112, 30662, 7146, 2581, 4976, 56, 42134, 6970, 21, 6690, 1701, 839, 204, 204, 264, 436, 2811, 68, 6267, 68, 13411, 13, 5477, 68, 1300, 31, 1135, 17, 5877, 31, 818, 289, 500, 19, 21, 14, 393, 443, 31, 204, 268, 320, 204, 268, 3055, 10470, 20754, 2086, 329, 1356, 6605, 19, 204, 204, 268, 457, 31, 204, 305, 1812, 68, 1300, 322, 873, 330, 334, 1812, 6605, 722, 19, 204, 305, 5877, 322, 996, 17, 1448, 330, 334, 1812, 5877, 19, 1243, 311, 500, 19, 21, 19, 204, 268, 320, 204, 268, 314, 3055, 10470, 20754, 2086, 204, 268, 5631, 68, 1744, 289, 20754, 13, 2488, 34, 6267, 68, 2488, 17, 4748, 833, 23112, 534, 204, 268, 1563, 289, 3479, 36804, 19, 2290, 611, 23112, 491, 5631, 68, 1744, 14, 204, 822, 268, 314, 778, 275, 1563, 204, 268, 2136, 508, 1563, 19, 11039, 204, 268, 2136, 1563, 19, 8901, 564, 5877, 204, 268, 2136, 1563, 19, 11483, 564, 1812, 68, 1300, 204, 204, 264, 314, 1295, 12146, 6657, 5194, 204, 264, 2086, 68, 2816, 289, 3479, 36804, 19, 505, 68, 1744, 68, 2816, 611, 7183, 534, 204, 264, 2067, 289, 458, 13, 1744, 68, 2816, 736, 2488, 3750, 3261, 26041, 21, 66, 204, 264, 348, 20334, 292, 2086, 68, 2816, 1166, 26835, 8682, 204, 268, 314, 41360, 25856, 8417, 1236, 24703, 348, 8407, 22, 71, 204, 268, 1812, 68, 11483, 289, 2552, 5937, 597, 10442, 1717, 5346, 19, 40999, 98, 204, 268, 2086, 289, 30085, 22591, 8177, 88, 13, 26835, 34, 26835, 17, 4748, 833, 7183, 491, 2067, 34, 2488, 14, 204, 268, 3479, 36804, 19, 2290, 13, 1744, 34, 1744, 17, 4748, 833, 7183, 534, 204, 268, 2811, 68, 6267, 68, 13411, 13, 5477, 68, 11483, 14, 204, 204, 264, 314, 1295, 12146, 2364, 6171, 204, 264, 8426, 289, 551, 78, 348, 296, 292, 2086, 68, 2816, 1166, 579, 68, 2820, 17868, 204, 264, 26863, 68, 2820, 289, 3479, 36804, 19, 5719, 68, 7294, 19, 12797, 68, 579, 68, 1608, 736, 2491, 21, 839, 204, 264, 348, 1995, 292, 8426, 31, 204, 268, 314, 3168, 322, 5243, 302, 275, 683, 2910, 14, 204, 204, 461, 683, 68, 37400, 68, 10296, 68, 25255, 13, 5273, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 12146, 6657, 5194, 19, 204, 204, 264, 1058, 683, 1322, 11208, 275, 12146, 6657, 5194, 2086, 19, 204, 264, 320, 204, 264, 314, 3168, 322, 804, 1322, 5581, 14, 204, 204, 461, 683, 68, 37400, 68, 4165, 68, 12533, 13, 5273, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 1295, 12146, 2364, 6171, 19, 204, 204, 264, 1058, 683, 1322, 11208, 275, 12146, 2364, 6171, 2086, 19, 204, 264, 320, 204, 264, 314, 3168, 322, 804, 1322, 5581, 14, 204, 204, 8, 3168, 322, 2123, 683, 2910, 14, 204, 0, 38002, 3590, 20662, 12923, 10166, 408, 36504, 9632, 2336, 20662, 2114, 6899, 16354, 19982, 12980, 15937, 460, 5351, 30677, 7363, 16921, 5351, 12816, 408, 18980, 9632, 21196, 28258, 408, 38965, 10166, 20662, 12923, 8728, 2780, 27482, 12603, 6462, 4517, 408, 13225, 9632, 19982, 12980, 15937, 22204, 568, 204, 22, 19, 921, 10166, 20662, 12923, 12665, 1345, 10717, 20662, 12923, 29677, 9862, 20382, 408, 20319, 4417, 235, 4304, 36259, 408, 1002, 6899, 7363, 942, 36068, 725, 32715, 568, 10717, 3964, 6658, 9238, 19533, 10717, 20662, 12923, 460, 20496, 9862, 12239, 4296, 5351, 30677, 460, 20496, 568, 204, 23, 19, 921, 10166, 4417, 235, 4138, 12923, 36259, 1398, 408, 14407, 30677, 25945, 1227, 3227, 15887, 16902, 460, 7594, 2371, 408, 1345, 46100, 13956, 1579, 1909, 1524, 2188, 17096, 13956, 7217, 408, 6663, 6899, 12522, 921, 10166, 8728, 1603, 4417, 235, 4138, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12923, 460, 4417, 235, 2371, 10150, 36068, 568, 204, 24, 19, 921, 10166, 4417, 235, 4138, 12923, 28561, 408, 4945, 1345, 11035, 11563, 17411, 23263, 8085, 17071, 15011, 12054, 12808, 408, 12067, 1345, 11035, 36259, 8706, 1390, 3293, 15727, 8706, 25945, 36, 3058, 11156, 252, 1175, 118, 2492, 260, 52, 2698, 28561, 408, 3675, 17071, 15011, 5958, 11563, 17411, 23263, 460, 37465, 2807, 4417, 235, 4138, 12923, 460, 2386, 13501, 2382, 568, 4945, 1345, 11035, 17071, 15011, 12054, 5958, 14337, 4304, 8728, 408, 16192, 3865, 11035, 13491, 460, 2386, 13501, 2807, 4417, 235, 4138, 12923, 29360, 13501, 6650, 568, 204, 26, 19, 8285, 11219, 38576, 20363, 46941, 408, 921, 10166, 28561, 408, 4417, 235, 4138, 12923, 1227, 3589, 2739, 25883, 11515, 31616, 29110, 15212, 568, 204, 27, 19, 921, 10166, 1398, 408, 22426, 11153, 47520, 2148, 1811, 1251, 408, 12522, 9777, 2114, 8383, 25656, 568, 4945, 10166, 460, 38098, 40223, 26900, 12808, 408, 2657, 5227, 4417, 235, 4138, 12923, 33197, 1524, 2682, 17145, 13620, 22483, 5351, 1191, 20706, 408, 6878, 1002, 6899, 40562, 4417, 235, 4138, 13956, 22204, 11338, 568, 204, 28, 19, 4945, 18896, 11436, 29228, 1036, 3738, 70, 1398, 408, 11746, 1345, 21574, 4417, 235, 4138, 12923, 18118, 408, 19533, 19092, 24285, 12923, 408, 30845, 4417, 235, 4138, 12923, 3944, 24228, 1670, 568, 24285, 12923, 854, 3589, 921, 4417, 235, 4138, 12923, 460, 5062, 2371, 831, 21199, 408, 2891, 9768, 4417, 235, 4138, 12923, 7409, 30677, 25945, 21904, 3589, 2739, 8728, 408, 8285, 12522, 24285, 12923, 460, 27727, 6522, 4304, 3944, 6522, 5548, 408, 921, 33036, 23263, 13907, 9238, 408, 1345, 3865, 29110, 15212, 5227, 27727, 6522, 4304, 15865, 3190, 19017, 2174, 4762, 3589, 41048, 568, 204, 48804, 408, 14787, 11698, 19982, 12980, 15937, 5351, 30677, 460, 20662, 12923, 5659, 3590, 10166, 408, 6663, 9555, 1456, 9632, 2336, 20662, 2114, 408, 5718, 25066, 11219, 5259, 26327, 408, 9632, 3865, 12215, 1227, 28258, 568, 204, 0, 647, 2821, 204, 204, 461, 1900, 68, 15041, 13, 920, 68, 3337, 31, 421, 17, 1112, 31, 421, 14, 393, 394, 31, 204, 264, 320, 204, 264, 6071, 273, 9266, 302, 886, 497, 368, 311, 771, 68, 3337, 1609, 523, 275, 800, 1112, 19, 204, 204, 264, 334, 1112, 353, 500, 18, 6070, 329, 4504, 275, 9266, 292, 29430, 11209, 1552, 19, 204, 264, 1765, 1763, 17, 348, 771, 68, 3337, 289, 571, 17, 275, 9214, 529, 31, 204, 264, 338, 1112, 500, 31, 388, 4326, 7, 204, 264, 338, 1112, 368, 31, 388, 25248, 7, 204, 264, 338, 1112, 435, 31, 388, 40670, 7, 204, 264, 338, 1112, 571, 31, 388, 41634, 7, 204, 264, 338, 1112, 681, 31, 388, 45689, 7, 204, 264, 338, 1112, 720, 31, 388, 29151, 7, 204, 204, 264, 457, 31, 204, 268, 771, 68, 3337, 322, 339, 330, 334, 542, 302, 1842, 292, 275, 9266, 19, 204, 268, 1112, 322, 339, 330, 334, 1112, 302, 275, 9266, 311, 1900, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 4489, 9266, 448, 273, 782, 19, 204, 204, 264, 1632, 31, 204, 268, 987, 31, 828, 1112, 353, 685, 302, 933, 19, 204, 264, 320, 204, 264, 314, 778, 397, 1112, 353, 2614, 1097, 933, 204, 264, 397, 1112, 962, 500, 521, 1112, 3721, 2821, 19, 14516, 13, 920, 68, 3337, 330, 204, 268, 980, 987, 499, 7555, 685, 302, 933, 431, 204, 204, 264, 314, 666, 273, 458, 302, 2755, 886, 204, 264, 2755, 68, 1630, 289, 458, 13, 2307, 13, 22, 17, 771, 68, 3337, 465, 368, 602, 204, 204, 264, 314, 977, 275, 722, 204, 264, 722, 289, 1306, 204, 204, 264, 314, 888, 275, 9266, 204, 264, 348, 296, 292, 933, 13, 920, 68, 3337, 17, 500, 17, 338, 22, 330, 204, 268, 314, 888, 275, 8736, 302, 275, 4017, 886, 204, 268, 8736, 289, 2821, 19, 14516, 13, 78, 338, 368, 14, 204, 204, 268, 314, 888, 275, 1112, 302, 275, 790, 542, 204, 268, 790, 68, 998, 289, 1112, 3166, 8736, 204, 204, 268, 314, 5230, 275, 790, 542, 311, 275, 722, 204, 268, 722, 19, 1223, 13, 325, 13, 6772, 68, 1630, 64, 1976, 68, 998, 4513, 204, 204, 268, 314, 3182, 275, 790, 542, 497, 275, 2755, 886, 204, 268, 2755, 68, 1630, 19, 3377, 13, 1976, 68, 998, 14, 204, 204, 268, 314, 1716, 275, 1112, 204, 268, 1112, 34060, 8736, 204, 204, 264, 314, 9828, 275, 722, 1025, 273, 782, 204, 264, 407, 13080, 1541, 13, 1300, 14, 204, 204, 204, 461, 667, 1293, 204, 264, 314, 763, 275, 542, 302, 1842, 329, 1112, 497, 275, 575, 204, 264, 771, 68, 3337, 289, 421, 13, 768, 499, 2101, 275, 542, 302, 1842, 31, 4091, 204, 264, 1112, 289, 421, 13, 768, 499, 2101, 275, 1112, 31, 4091, 204, 204, 264, 810, 31, 204, 268, 314, 2069, 275, 9266, 204, 268, 722, 289, 1900, 68, 15041, 13, 920, 68, 3337, 17, 1112, 14, 204, 204, 268, 314, 1198, 275, 722, 204, 268, 456, 499, 6114, 18659, 2180, 722, 14, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 499, 596, 2180, 318, 14, 204, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 673, 1844, 440, 275, 790, 1216, 302, 12721, 8159, 2907, 353, 496, 490, 27058, 275, 13885, 2634, 19822, 351, 2298, 19, 1058, 19822, 351, 2298, 3459, 1330, 1051, 2586, 5792, 275, 2634, 302, 273, 8159, 800, 1429, 424, 440, 275, 2634, 302, 275, 424, 800, 275, 8159, 19, 204, 204, 1449, 17886, 808, 17, 2506, 273, 7155, 683, 348, 273, 4614, 19, 334, 2634, 302, 5701, 275, 4614, 800, 273, 2140, 683, 722, 353, 508, 275, 1729, 448, 275, 2634, 302, 273, 2140, 683, 722, 800, 496, 1051, 869, 275, 4614, 19, 3355, 17, 808, 353, 6488, 2075, 353, 3870, 292, 12721, 8159, 2907, 17, 1273, 275, 2634, 302, 275, 424, 800, 275, 3749, 8159, 322, 85, 18, 876, 14, 353, 1376, 448, 273, 7852, 348, 275, 2634, 302, 275, 3749, 8159, 800, 275, 424, 19, 204, 204, 1834, 618, 3014, 311, 6162, 43989, 329, 273, 2223, 2233, 302, 1187, 382, 2744, 17, 1273, 273, 3597, 3749, 8159, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 353, 19884, 19, 334, 2233, 302, 1187, 382, 2744, 353, 508, 275, 1729, 448, 275, 13107, 1870, 322, 10761, 14, 302, 275, 683, 17, 1101, 6216, 8788, 523, 275, 4948, 2634, 302, 275, 3749, 8159, 17, 275, 12721, 2347, 302, 275, 683, 17, 329, 275, 13107, 1870, 19, 204, 204, 673, 2089, 348, 275, 2634, 302, 273, 1187, 382, 908, 353, 31, 204, 204, 17856, 13, 45, 21, 97, 85, 33, 10761, 14, 289, 8896, 13, 85, 33, 10761, 97, 45, 21, 14, 8591, 8896, 13, 45, 21, 14, 802, 8896, 13, 85, 33, 10761, 14, 204, 204, 11142, 8896, 13, 45, 21, 97, 85, 33, 10761, 14, 353, 275, 2634, 302, 275, 3749, 8159, 800, 273, 4883, 284, 18, 876, 17, 8896, 13, 85, 33, 10761, 97, 45, 21, 14, 353, 275, 2634, 302, 273, 4883, 284, 18, 876, 800, 275, 3749, 8159, 322, 9798, 353, 275, 13107, 1870, 11181, 659, 8896, 13, 45, 21, 14, 353, 275, 4948, 2634, 302, 275, 3749, 8159, 17, 329, 8896, 13, 85, 33, 10761, 14, 353, 275, 2634, 302, 273, 4883, 284, 18, 876, 19, 204, 204, 1449, 7940, 273, 3264, 2233, 302, 1187, 382, 2744, 17, 275, 12721, 2347, 302, 275, 683, 1631, 444, 2223, 17, 329, 275, 4948, 2634, 302, 275, 3749, 8159, 1631, 444, 3264, 19, 3355, 17, 292, 1910, 2910, 17, 275, 12721, 2347, 353, 3264, 17, 329, 275, 4948, 2634, 302, 275, 3749, 8159, 353, 2223, 17, 6043, 311, 273, 2223, 2233, 302, 1187, 382, 2744, 19, 204, 204, 673, 732, 302, 284, 18, 1309, 329, 12721, 13107, 869, 1742, 48361, 17, 329, 1429, 874, 13567, 9037, 2986, 17, 1702, 448, 974, 17315, 3857, 521, 7048, 7046, 19, 3355, 17, 1605, 2986, 1425, 874, 1017, 18113, 17, 329, 273, 717, 11470, 348, 3184, 5912, 6678, 353, 4331, 19, 204, 204, 5842, 2237, 3979, 353, 311, 732, 273, 1216, 1609, 523, 17315, 3857, 17, 1101, 440, 273, 4802, 17455, 496, 2589, 4858, 869, 273, 2634, 302, 908, 496, 2950, 444, 726, 3498, 9002, 19, 1058, 3979, 618, 1308, 273, 35822, 5316, 329, 12212, 11470, 348, 3184, 5912, 6678, 19, 204, 204, 837, 808, 3979, 17, 275, 12117, 292, 273, 3220, 353, 4310, 448, 275, 14821, 302, 275, 15226, 3726, 348, 275, 3220, 2545, 1097, 20616, 2545, 2872, 19, 334, 6639, 6678, 353, 1675, 3392, 1609, 523, 275, 8316, 6678, 17, 12117, 17, 329, 16223, 91, 3423, 19, 334, 16223, 91, 3423, 353, 273, 37254, 4474, 496, 8788, 523, 275, 1874, 18680, 275, 3220, 329, 618, 10140, 348, 1792, 1880, 19, 204, 204, 673, 2089, 348, 275, 6639, 6678, 353, 31, 204, 204, 23320, 545, 33943, 289, 9376, 336, 33943, 8591, 322, 22, 338, 322, 22, 802, 322, 22, 465, 1918, 13, 57, 14467, 465, 15602, 705, 91, 3423, 18742, 204, 204, 1834, 3979, 5178, 1025, 1747, 275, 18113, 302, 275, 790, 1216, 302, 12721, 8159, 2907, 329, 3629, 273, 1182, 7439, 7285, 329, 10205, 2501, 302, 3184, 5912, 6678, 19, 1547, 1425, 6876, 348, 275, 292, 2244, 17989, 302, 4948, 6121, 329, 16631, 1025, 275, 4249, 17, 928, 618, 3014, 311, 1182, 18096, 6646, 18, 18468, 19, 204, 204, 26212, 17, 275, 790, 1216, 302, 12721, 8159, 2907, 353, 48474, 17, 329, 273, 717, 11470, 348, 3184, 5912, 6678, 353, 4331, 19, 334, 3979, 1609, 523, 17315, 3857, 329, 12117, 3629, 273, 35822, 5316, 329, 12212, 1988, 496, 618, 1340, 311, 6024, 275, 3666, 329, 26499, 302, 8615, 3793, 19, 0, 7016, 6413, 20, 3539, 20, 3107, 5415, 204, 647, 2454, 204, 531, 12800, 532, 3219, 204, 204, 461, 1356, 68, 5207, 68, 2256, 13, 885, 68, 11393, 31, 421, 17, 1006, 68, 17956, 31, 421, 14, 393, 443, 31, 204, 264, 320, 204, 264, 778, 397, 275, 790, 4847, 2585, 16757, 275, 2311, 7949, 19, 204, 204, 264, 457, 31, 204, 268, 1006, 68, 11393, 322, 339, 330, 334, 2311, 4376, 2585, 1945, 19, 204, 268, 1006, 68, 17956, 322, 339, 330, 334, 2311, 10908, 2585, 1945, 19, 204, 204, 264, 1632, 31, 204, 268, 25858, 31, 828, 275, 4847, 2585, 353, 508, 9133, 19, 204, 264, 320, 204, 264, 397, 2454, 19, 2256, 68, 1270, 962, 322, 885, 68, 11393, 17, 1006, 68, 17956, 330, 204, 268, 456, 13, 75, 7, 596, 31, 4847, 463, 885, 68, 11393, 15999, 885, 68, 17956, 98, 521, 5092, 353, 1945, 431, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 461, 5327, 68, 5666, 374, 393, 443, 31, 204, 264, 320, 204, 264, 6153, 275, 3219, 348, 275, 2434, 2036, 3146, 19, 204, 204, 264, 1632, 31, 204, 268, 1319, 31, 828, 437, 908, 3459, 1882, 3219, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 968, 275, 3146, 3688, 204, 268, 3146, 68, 4591, 289, 463, 204, 305, 388, 417, 559, 388, 2472, 2036, 528, 204, 305, 388, 2256, 559, 388, 21, 19, 22, 19, 1003, 528, 204, 305, 388, 2749, 559, 388, 38, 308, 3247, 3798, 348, 44509, 1609, 523, 24862, 528, 204, 305, 388, 5515, 68, 2749, 559, 320, 38, 3277, 308, 3247, 3798, 496, 5018, 24862, 348, 15022, 329, 44509, 348, 5688, 19, 204, 14302, 1547, 3629, 273, 3277, 329, 7249, 18, 633, 18, 598, 4510, 348, 4141, 329, 11696, 4978, 7215, 1279, 17, 204, 305, 388, 14194, 559, 388, 29028, 2032, 11357, 435, 19, 21, 528, 204, 305, 388, 4020, 559, 388, 2301, 8382, 3230, 528, 204, 305, 388, 4020, 68, 2302, 559, 388, 996, 17745, 37, 293, 19, 1453, 528, 204, 305, 388, 805, 559, 388, 3189, 1963, 8750, 19, 1453, 20, 2301, 8382, 3230, 20, 2472, 2036, 528, 204, 305, 388, 9310, 68, 11729, 559, 551, 204, 485, 388, 9349, 528, 388, 47, 13213, 23, 528, 388, 5613, 2036, 528, 388, 17133, 528, 388, 948, 6435, 528, 204, 485, 388, 43694, 948, 528, 388, 5207, 18, 672, 3978, 528, 388, 82, 4928, 68, 27545, 94, 85, 1372, 528, 388, 948, 10626, 7, 204, 305, 7241, 204, 305, 388, 9290, 559, 3134, 13623, 528, 388, 2472, 2036, 2869, 204, 305, 388, 12477, 559, 3134, 3230, 528, 388, 1942, 528, 388, 5613, 2036, 528, 388, 17133, 528, 388, 9130, 2869, 204, 305, 388, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19994, 559, 551, 204, 485, 388, 11690, 5997, 4318, 8361, 528, 204, 485, 388, 29769, 6136, 5997, 8419, 22596, 528, 204, 485, 388, 14087, 9044, 5997, 4847, 528, 204, 485, 388, 18427, 5997, 12679, 5997, 595, 24726, 20, 6654, 528, 204, 305, 7241, 204, 305, 388, 4780, 68, 481, 559, 463, 204, 485, 27262, 3134, 13585, 2079, 1339, 204, 305, 4752, 204, 268, 1211, 204, 204, 268, 314, 3055, 275, 3219, 204, 268, 3219, 7680, 4780, 68, 4591, 14, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 1882, 3219, 31, 463, 74, 743, 204, 268, 2454, 19, 4555, 13, 22, 14, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 2901, 917, 302, 275, 3467, 19, 204, 264, 320, 204, 264, 314, 778, 275, 4847, 2585, 204, 264, 1356, 68, 5207, 68, 2256, 13, 23, 17, 720, 14, 204, 204, 264, 314, 6153, 275, 3219, 204, 264, 5327, 68, 5666, 374, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 676, 3398, 7002, 45488, 11888, 31, 204, 264, 320, 204, 264, 6071, 275, 1040, 18, 416, 18, 23122, 1767, 19, 204, 204, 264, 334, 1040, 18, 416, 18, 23122, 1767, 353, 273, 1767, 302, 3717, 3157, 4310, 560, 275, 2631, 5035, 31, 204, 264, 338, 334, 1043, 3018, 353, 379, 22, 2625, 204, 264, 338, 7616, 15367, 3018, 353, 4489, 560, 15734, 275, 3090, 3018, 19, 204, 264, 338, 334, 2342, 353, 3870, 560, 11375, 275, 6920, 7428, 302, 848, 3717, 329, 21852, 275, 1040, 329, 3717, 311, 275, 722, 19, 204, 264, 320, 204, 204, 264, 436, 1900, 68, 20115, 68, 4953, 13, 327, 17, 300, 31, 421, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 275, 9776, 3018, 302, 275, 1040, 18, 416, 18, 23122, 1767, 19, 204, 204, 268, 457, 31, 204, 305, 300, 322, 339, 330, 334, 3018, 542, 292, 275, 1767, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 9776, 3018, 302, 275, 1040, 18, 416, 18, 23122, 1767, 19, 204, 204, 268, 1632, 31, 204, 305, 987, 31, 828, 300, 353, 2202, 1194, 368, 19, 204, 268, 320, 204, 268, 397, 300, 962, 368, 31, 204, 305, 980, 987, 499, 83, 1631, 444, 3114, 1194, 500, 431, 204, 204, 268, 314, 977, 275, 1767, 440, 275, 1043, 3018, 204, 268, 1767, 289, 379, 22, 12, 204, 204, 268, 314, 2069, 275, 1767, 719, 311, 275, 9776, 3018, 204, 268, 348, 906, 292, 933, 13, 23, 17, 300, 465, 368, 330, 204, 305, 314, 2069, 275, 1682, 1767, 1609, 523, 275, 790, 1767, 204, 305, 1767, 289, 370, 806, 4776, 68, 2715, 68, 2626, 13, 2626, 14, 204, 204, 268, 407, 1767, 204, 204, 264, 436, 906, 4776, 68, 2715, 68, 2626, 13, 327, 17, 1767, 31, 394, 14, 393, 394, 31, 204, 268, 320, 204, 268, 6071, 275, 1682, 1767, 1609, 523, 275, 800, 1767, 19, 204, 204, 268, 457, 31, 204, 305, 1767, 322, 325, 330, 334, 790, 1767, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 334, 1682, 1767, 292, 275, 1040, 18, 416, 18, 23122, 1767, 19, 204, 268, 320, 204, 268, 314, 977, 2558, 311, 3550, 3234, 302, 275, 790, 3717, 329, 1163, 1040, 204, 268, 1682, 68, 2626, 289, 5607, 204, 268, 790, 68, 4289, 289, 1767, 64, 21, 66, 204, 268, 1040, 289, 368, 204, 204, 268, 314, 1861, 1048, 275, 1767, 4145, 497, 275, 1350, 3717, 204, 268, 348, 3717, 292, 1767, 64, 22, 15136, 204, 305, 314, 828, 275, 790, 3717, 353, 275, 1729, 448, 275, 3090, 1051, 17, 6342, 275, 1040, 204, 305, 397, 3717, 564, 790, 68, 4289, 31, 204, 485, 1040, 1412, 368, 204, 305, 314, 828, 275, 790, 3717, 353, 1792, 497, 275, 3090, 1051, 17, 6283, 275, 1040, 329, 3717, 311, 275, 1682, 1767, 204, 305, 902, 31, 204, 485, 1682, 68, 2626, 1412, 394, 13, 765, 14, 465, 790, 68, 4289, 204, 485, 790, 68, 4289, 289, 3717, 204, 485, 1040, 289, 368, 204, 204, 268, 314, 5230, 275, 1673, 1767, 204, 268, 1682, 68, 2626, 1412, 394, 13, 765, 14, 465, 790, 68, 4289, 204, 204, 268, 407, 1682, 68, 2626, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 683, 68, 920, 289, 720, 204, 264, 1767, 68, 5404, 289, 3398, 7002, 45488, 11888, 374, 204, 264, 722, 289, 1767, 68, 5404, 19, 4776, 68, 20115, 68, 4953, 13, 804, 68, 920, 14, 204, 264, 456, 13, 75, 7, 673, 463, 804, 68, 920, 98, 427, 3018, 302, 275, 1040, 18, 416, 18, 23122, 1767, 353, 31, 463, 1300, 743, 204, 0, 673, 1581, 800, 353, 469, 338, 887, 289, 338, 1258, 93, 338, 7332, 19, 2416, 1020, 437, 6414, 1581, 17, 572, 618, 881, 887, 311, 1855, 2902, 302, 275, 1581, 19, 204, 204, 94, 338, 887, 465, 887, 289, 338, 1258, 93, 338, 7332, 465, 887, 204, 94, 289, 338, 1258, 93, 338, 8178, 204, 204, 12129, 2501, 311, 1020, 437, 6414, 1581, 353, 311, 1012, 440, 275, 800, 1581, 469, 338, 887, 289, 338, 1258, 93, 338, 7332, 329, 881, 1598, 93, 311, 1855, 2902, 329, 1675, 881, 7332, 311, 1855, 2902, 19, 204, 204, 94, 338, 887, 465, 1598, 93, 465, 7332, 289, 338, 1258, 93, 465, 1598, 93, 338, 7332, 465, 7332, 204, 94, 465, 1598, 93, 465, 8178, 289, 500, 204, 1258, 93, 465, 469, 465, 8178, 289, 500, 204, 94, 289, 338, 1258, 93, 338, 8178, 204, 204, 2310, 618, 1425, 1012, 440, 275, 1581, 469, 289, 338, 1258, 93, 338, 8178, 329, 4122, 1855, 2902, 560, 338, 22, 19, 204, 204, 18, 22, 13, 94, 14, 289, 338, 22, 2422, 1258, 93, 338, 8178, 14, 204, 18, 94, 289, 1598, 93, 465, 8178, 204, 94, 289, 338, 1258, 93, 338, 8178, 204, 204, 5797, 302, 1605, 3779, 529, 6414, 311, 469, 338, 887, 289, 338, 1258, 93, 338, 7332, 329, 311, 469, 289, 338, 1258, 93, 338, 8178, 19, 204, 204, 1449, 1356, 397, 469, 289, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 887, 338, 1598, 93, 465, 681, 353, 6414, 17, 572, 618, 5620, 490, 19, 204, 204, 94, 289, 887, 338, 1598, 93, 465, 681, 204, 94, 289, 931, 338, 1598, 93, 204, 204, 1834, 1581, 353, 508, 6414, 311, 469, 289, 338, 1258, 93, 338, 8178, 19, 204, 204, 1449, 1356, 397, 469, 289, 887, 465, 1598, 93, 338, 681, 353, 6414, 17, 572, 618, 5620, 490, 19, 204, 204, 94, 289, 887, 465, 1598, 93, 338, 681, 204, 94, 289, 435, 465, 1598, 93, 204, 204, 1834, 1581, 353, 508, 6414, 311, 469, 289, 338, 1258, 93, 338, 8178, 19, 204, 204, 1449, 1356, 397, 469, 289, 887, 338, 1598, 93, 338, 681, 353, 6414, 17, 572, 618, 5620, 490, 19, 204, 204, 94, 289, 887, 338, 1598, 93, 338, 681, 204, 94, 289, 435, 338, 1598, 93, 204, 204, 1834, 1581, 353, 508, 6414, 311, 469, 289, 338, 1258, 93, 338, 8178, 19, 204, 204, 673, 1581, 469, 289, 338, 1258, 93, 338, 8178, 353, 6414, 311, 469, 338, 887, 289, 338, 1258, 93, 338, 7332, 19, 0, 4226, 3944, 1689, 4684, 9620, 723, 243, 4684, 4134, 3863, 5972, 6443, 10257, 9145, 1191, 10818, 34163, 990, 19902, 1111, 21424, 725, 21564, 1111, 3632, 7658, 1001, 204, 30, 20, 1909, 5579, 3977, 10776, 3863, 5601, 2134, 3007, 55, 1251, 13035, 27, 19, 4452, 11191, 5579, 3283, 3863, 5972, 12165, 3863, 5601, 2134, 3007, 55, 19090, 21746, 17576, 4276, 22486, 408, 5579, 3283, 10776, 3863, 5601, 2134, 3007, 55, 3827, 17236, 24, 19, 2314, 11191, 5579, 5335, 3863, 5972, 17236, 11677, 19267, 4228, 6991, 2615, 8778, 568, 3863, 5972, 47688, 10257, 16873, 9145, 568, 204, 6443, 4127, 831, 14523, 3028, 7174, 1984, 19902, 1111, 21424, 408, 7441, 21564, 1111, 3632, 7658, 568, 9536, 4477, 1251, 10088, 854, 1689, 37313, 22486, 33373, 408, 7441, 21711, 1377, 5972, 9398, 1111, 32585, 33373, 568, 9536, 3863, 5972, 460, 1929, 4846, 568, 2891, 6443, 460, 1377, 5972, 7363, 11095, 1670, 10231, 5485, 1398, 408, 14931, 21732, 11095, 1670, 568, 12976, 5643, 1251, 10088, 18276, 1689, 4684, 42690, 408, 2253, 22242, 11095, 1670, 568, 204, 10282, 2822, 3476, 2253, 35371, 11308, 10088, 1689, 4684, 4127, 408, 14765, 6899, 31688, 8461, 16742, 26431, 3224, 5564, 460, 1377, 5972, 21542, 408, 3038, 4796, 27260, 10705, 9177, 9536, 6443, 1377, 5972, 25246, 4330, 9884, 20593, 568, 14116, 408, 5757, 1251, 10088, 22486, 14699, 2657, 1189, 22486, 460, 1377, 5972, 23932, 1390, 15098, 5562, 408, 5718, 3464, 14136, 39459, 4684, 4127, 1886, 18824, 1456, 1189, 25246, 1377, 5972, 4660, 20396, 568, 204, 5843, 6677, 12175, 3361, 3921, 831, 14523, 47660, 3598, 7174, 9157, 10705, 3944, 1689, 4684, 9620, 723, 243, 1111, 4684, 8464, 21145, 21226, 15544, 6776, 7363, 10444, 10231, 1398, 408, 10705, 4762, 12198, 408, 11095, 1670, 1970, 1603, 1111, 568, 1251, 10088, 921, 1689, 4684, 4127, 1191, 1398, 408, 9317, 4924, 21226, 5463, 1929, 15733, 5827, 408, 854, 1251, 17769, 5522, 1550, 30398, 21750, 48736, 568, 0, 647, 3805, 448, 1246, 204, 647, 2010, 448, 645, 204, 531, 4277, 19, 809, 68, 7419, 532, 951, 68, 804, 68, 1590, 204, 531, 6130, 19, 1618, 532, 9864, 204, 531, 6130, 19, 3814, 532, 11970, 22, 41, 17, 22488, 17, 18581, 17, 29775, 22, 41, 17, 15822, 17, 12628, 204, 531, 6130, 19, 2918, 532, 311, 68, 11697, 204, 531, 6130, 19, 16168, 532, 34807, 204, 647, 304, 204, 647, 28289, 204, 531, 12039, 19, 13118, 532, 1142, 68, 13118, 204, 531, 12039, 19, 11665, 532, 13667, 204, 647, 12039, 204, 34874, 19, 7237, 611, 46456, 534, 204, 34874, 19, 7237, 611, 19076, 534, 204, 204, 8, 968, 3454, 204, 5605, 68, 8327, 289, 2753, 204, 7429, 68, 19719, 289, 1607, 204, 51, 68, 14710, 289, 720, 204, 10710, 68, 2956, 289, 5737, 204, 204, 461, 1137, 68, 481, 13, 553, 68, 546, 31, 394, 14, 393, 1246, 19, 1362, 31, 204, 264, 320, 204, 264, 1385, 424, 497, 6057, 510, 19, 204, 204, 264, 457, 31, 204, 264, 510, 68, 546, 322, 325, 330, 2621, 311, 275, 6057, 510, 19, 204, 204, 264, 475, 31, 204, 264, 1246, 19, 1362, 31, 9387, 424, 19, 204, 264, 320, 204, 264, 407, 1246, 19, 976, 68, 9671, 13, 553, 68, 546, 17, 4051, 833, 3102, 18, 29, 534, 204, 204, 461, 5221, 68, 492, 13, 492, 31, 394, 14, 393, 394, 31, 204, 264, 320, 204, 264, 8192, 1068, 560, 7057, 2966, 5085, 17, 13881, 17, 329, 3506, 2159, 19, 204, 204, 264, 457, 31, 204, 264, 1068, 322, 325, 330, 6547, 311, 5221, 19, 204, 204, 264, 475, 31, 204, 264, 394, 31, 20883, 1068, 19, 204, 264, 320, 204, 264, 314, 3182, 2966, 5085, 204, 264, 1068, 289, 304, 19, 1509, 17404, 17865, 12560, 8488, 1068, 789, 2892, 374, 204, 264, 314, 3182, 13881, 204, 264, 1068, 289, 304, 19, 1509, 13, 87, 18380, 10584, 92, 65, 88, 19160, 8488, 1068, 14, 204, 264, 314, 17253, 1068, 204, 264, 2159, 289, 1142, 68, 13118, 13, 492, 14, 204, 264, 314, 3182, 3506, 2159, 204, 264, 3506, 68, 2489, 289, 758, 13, 19076, 19, 2489, 611, 16035, 3063, 204, 264, 4932, 68, 2489, 289, 551, 750, 348, 1142, 292, 2159, 397, 1142, 19, 3006, 374, 508, 292, 3506, 68, 2489, 66, 204, 264, 407, 379, 3759, 1541, 13, 10975, 68, 2489, 14, 204, 204, 461, 3876, 68, 10397, 13, 10397, 31, 458, 17, 846, 68, 1205, 31, 421, 289, 8438, 68, 8327, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 16875, 7045, 974, 1142, 23, 5968, 570, 19, 204, 204, 264, 457, 31, 204, 264, 7045, 322, 655, 330, 783, 302, 7045, 311, 3876, 19, 204, 264, 846, 68, 1205, 322, 339, 330, 9814, 1277, 302, 273, 4094, 19, 204, 204, 264, 475, 31, 204, 264, 645, 19, 766, 31, 16875, 916, 7045, 19, 204, 264, 320, 204, 264, 570, 289, 28289, 19, 1618, 19, 2683, 43441, 19, 986, 68, 750, 23, 5968, 68, 2478, 15736, 809, 20, 92, 23, 91, 19, 3539, 491, 2510, 34, 1021, 17, 4051, 833, 3102, 18, 29, 534, 204, 264, 17035, 68, 10397, 289, 1306, 204, 264, 348, 4094, 292, 7045, 31, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 204, 268, 2159, 289, 4094, 19, 1590, 374, 204, 268, 3876, 68, 6814, 289, 1306, 204, 268, 348, 1142, 292, 2159, 31, 204, 305, 397, 1142, 292, 570, 19, 7021, 31, 204, 485, 3876, 68, 6814, 19, 1223, 13, 809, 64, 750, 694, 204, 305, 902, 31, 204, 485, 314, 1426, 275, 1322, 1273, 273, 1142, 353, 508, 292, 275, 1142, 23, 5968, 570, 677, 7494, 204, 485, 3876, 68, 6814, 19, 1223, 13, 1123, 19, 4324, 13, 7429, 68, 19719, 602, 204, 268, 314, 17221, 521, 27418, 4094, 311, 846, 1277, 204, 268, 397, 1245, 13, 4471, 68, 6814, 14, 1323, 846, 68, 1205, 31, 204, 305, 3876, 68, 6814, 289, 3876, 68, 6814, 2022, 1129, 68, 1205, 66, 204, 268, 1677, 1245, 13, 4471, 68, 6814, 14, 962, 846, 68, 1205, 31, 204, 305, 3876, 68, 6814, 289, 645, 19, 13750, 1802, 4471, 68, 6814, 17, 645, 19, 4324, 1802, 1129, 68, 1205, 338, 1245, 13, 4471, 68, 6814, 659, 595, 5754, 68, 19719, 659, 4798, 34, 996, 3917, 3138, 34, 21, 14, 204, 268, 17035, 68, 10397, 19, 1223, 13, 4471, 68, 6814, 14, 204, 264, 407, 645, 19, 643, 13, 31522, 68, 10397, 14, 204, 204, 461, 2270, 68, 809, 13, 768, 68, 1827, 31, 927, 17, 300, 68, 3191, 31, 421, 14, 393, 9864, 31, 204, 264, 320, 204, 264, 4908, 13222, 570, 19, 204, 204, 264, 457, 31, 204, 264, 537, 68, 1827, 322, 2644, 330, 4429, 2665, 302, 275, 570, 19, 204, 264, 300, 68, 3191, 322, 339, 330, 3239, 302, 4364, 19, 204, 204, 264, 475, 31, 204, 264, 9864, 31, 42473, 570, 19, 204, 264, 320, 204, 264, 570, 289, 9864, 374, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 17, 537, 68, 1827, 34, 768, 68, 1827, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 22, 602, 204, 264, 570, 19, 826, 13, 22661, 22, 41, 13, 5108, 68, 835, 34, 23, 602, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 14798, 13, 21, 19, 23, 602, 204, 264, 570, 19, 826, 13, 6769, 22, 41, 13, 7489, 17, 3696, 68, 835, 34, 24, 602, 204, 264, 570, 19, 826, 13, 23356, 611, 5723, 3063, 204, 264, 570, 19, 826, 13, 23264, 1447, 204, 264, 570, 19, 826, 13, 9415, 13, 83, 68, 3191, 17, 4142, 1022, 11397, 3687, 204, 264, 570, 19, 7354, 13, 2650, 833, 11697, 68, 18760, 491, 4209, 833, 16667, 491, 5047, 4980, 5893, 2378, 204, 264, 407, 570, 204, 204, 461, 951, 68, 809, 13, 809, 31, 9864, 17, 1504, 68, 1219, 31, 645, 19, 766, 17, 469, 68, 1219, 31, 645, 19, 766, 17, 1504, 68, 804, 31, 645, 19, 766, 17, 469, 68, 804, 31, 645, 19, 766, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 570, 19, 204, 204, 264, 457, 31, 204, 264, 570, 322, 8790, 330, 3746, 311, 951, 19, 204, 264, 1504, 68, 1219, 322, 1123, 19, 766, 330, 7502, 424, 19, 204, 264, 469, 68, 1219, 322, 1123, 19, 766, 330, 7502, 1769, 19, 204, 264, 1504, 68, 804, 322, 1123, 19, 766, 330, 12016, 424, 19, 204, 264, 469, 68, 804, 322, 1123, 19, 766, 330, 12016, 1769, 19, 204, 264, 320, 204, 264, 314, 13600, 424, 348, 11970, 22, 41, 204, 264, 1504, 68, 1219, 289, 1504, 68, 1219, 19, 6358, 1802, 61, 68, 1219, 19, 1827, 64, 21, 648, 1504, 68, 1219, 19, 1827, 64, 22, 648, 595, 5754, 68, 19719, 602, 204, 264, 1504, 68, 804, 289, 1504, 68, 804, 19, 6358, 1802, 61, 68, 804, 19, 1827, 64, 21, 648, 1504, 68, 804, 19, 1827, 64, 22, 648, 595, 5754, 68, 19719, 602, 204, 264, 314, 5028, 18, 5617, 9694, 1769, 204, 264, 469, 68, 1219, 289, 311, 68, 11697, 13, 94, 68, 1219, 14, 204, 264, 469, 68, 804, 289, 311, 68, 11697, 13, 94, 68, 804, 14, 204, 264, 314, 968, 4744, 16663, 5176, 204, 264, 4744, 68, 25893, 289, 34807, 13, 13411, 833, 577, 68, 2650, 491, 23942, 34, 24, 17, 1006, 68, 4336, 34, 21, 19, 7585, 14, 204, 264, 570, 19, 2714, 13, 61, 68, 1219, 17, 469, 68, 1219, 17, 2068, 68, 835, 34, 10710, 68, 2956, 17, 6175, 34, 51, 68, 14710, 17, 3587, 68, 481, 3644, 61, 68, 804, 17, 469, 68, 804, 659, 16114, 3603, 21042, 68, 25893, 694, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 314, 1385, 424, 204, 264, 424, 289, 1137, 68, 481, 15736, 481, 20, 481, 68, 76, 912, 19, 14140, 534, 204, 264, 7045, 289, 424, 736, 492, 3750, 1309, 204, 264, 1769, 289, 424, 736, 1676, 3750, 1309, 204, 204, 264, 314, 8192, 1068, 204, 264, 8049, 68, 10397, 289, 551, 7701, 68, 492, 13, 6814, 14, 348, 4094, 292, 7045, 66, 204, 204, 264, 314, 16875, 7045, 204, 264, 17035, 68, 10397, 289, 3876, 68, 10397, 13, 22067, 68, 10397, 14, 204, 204, 264, 314, 3736, 424, 1025, 1737, 329, 2907, 3416, 204, 264, 1504, 68, 1219, 17, 1504, 68, 804, 17, 469, 68, 1219, 17, 469, 68, 804, 289, 951, 68, 804, 68, 1590, 13, 31522, 68, 10397, 17, 1769, 17, 683, 68, 835, 34, 21, 19, 3268, 17, 1400, 68, 1512, 34, 5820, 14, 204, 204, 264, 314, 4908, 329, 951, 570, 204, 264, 570, 289, 2270, 68, 809, 1802, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5605, 68, 8327, 17, 595, 5754, 68, 19719, 659, 1245, 13, 1123, 19, 5271, 13, 2185, 3694, 204, 264, 951, 68, 809, 13, 809, 17, 1504, 68, 1219, 17, 469, 68, 1219, 17, 1504, 68, 804, 17, 469, 68, 804, 14, 204, 204, 264, 314, 3025, 570, 3093, 204, 264, 570, 19, 2360, 68, 3815, 15736, 809, 20, 809, 19, 77, 26, 534, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 667, 374, 204, 0, 647, 2010, 448, 645, 204, 531, 1804, 532, 1804, 204, 204, 461, 11564, 68, 4591, 68, 12465, 269, 7665, 13, 4591, 31, 1135, 17, 1812, 68, 32937, 31, 1135, 14, 393, 1135, 31, 204, 264, 320, 204, 264, 3289, 311, 1814, 830, 275, 3688, 2357, 5575, 311, 275, 2089, 1713, 204, 264, 292, 1812, 68, 32937, 19, 204, 204, 264, 457, 31, 204, 268, 3688, 322, 873, 330, 23660, 955, 311, 11564, 19, 204, 268, 1812, 68, 32937, 322, 873, 330, 6881, 302, 1812, 424, 3003, 19, 204, 204, 264, 475, 31, 204, 268, 1135, 31, 28703, 3688, 955, 19, 204, 264, 320, 204, 204, 264, 314, 968, 273, 955, 311, 2304, 782, 3003, 311, 1017, 3310, 6673, 3263, 204, 264, 6673, 68, 8396, 289, 463, 204, 268, 388, 1703, 68, 996, 68, 29632, 559, 906, 1703, 68, 996, 68, 3828, 17, 204, 268, 388, 1703, 68, 2664, 68, 29632, 559, 906, 1703, 68, 2664, 68, 3828, 17, 204, 268, 388, 1703, 68, 2664, 68, 8765, 559, 906, 1703, 68, 2664, 68, 8765, 204, 264, 1211, 204, 204, 264, 314, 1861, 1048, 848, 896, 18, 876, 3868, 292, 275, 3688, 955, 204, 264, 348, 896, 17, 700, 292, 3688, 19, 1996, 1293, 204, 268, 314, 778, 397, 275, 896, 2560, 292, 275, 1812, 68, 32937, 955, 204, 268, 397, 896, 292, 1812, 68, 32937, 31, 204, 305, 8439, 68, 932, 289, 1812, 68, 32937, 64, 644, 66, 204, 3123, 305, 314, 778, 397, 8439, 68, 932, 353, 273, 1187, 204, 305, 397, 2381, 13, 4415, 68, 932, 17, 1187, 330, 204, 485, 314, 3289, 311, 1814, 275, 700, 311, 275, 1713, 1187, 204, 485, 810, 31, 204, 895, 3688, 64, 644, 66, 289, 645, 19, 643, 13, 4415, 68, 932, 13, 876, 602, 204, 485, 827, 987, 448, 318, 31, 204, 895, 456, 13, 75, 7, 596, 10657, 463, 644, 98, 311, 463, 4415, 68, 932, 3925, 417, 38255, 463, 74, 743, 204, 3123, 305, 314, 778, 397, 8439, 68, 932, 353, 273, 782, 204, 305, 1677, 2381, 13, 4415, 68, 932, 17, 394, 330, 204, 485, 314, 778, 397, 275, 8439, 68, 932, 353, 273, 1097, 6673, 741, 204, 485, 397, 8439, 68, 932, 292, 6673, 68, 8396, 31, 204, 895, 314, 4889, 275, 3310, 6673, 741, 204, 895, 3688, 64, 644, 66, 289, 6673, 68, 8396, 64, 4415, 68, 932, 13281, 876, 14, 204, 485, 902, 31, 204, 895, 980, 3660, 13, 75, 7, 15204, 8439, 68, 932, 31, 463, 4415, 68, 932, 743, 204, 3123, 305, 314, 828, 8439, 68, 932, 353, 12956, 273, 1187, 10524, 273, 782, 17, 980, 437, 908, 204, 305, 902, 31, 204, 485, 980, 3660, 13, 75, 7, 11741, 8439, 68, 932, 311, 444, 273, 1187, 521, 394, 17, 1101, 7550, 463, 932, 13, 4415, 68, 932, 3835, 204, 204, 264, 407, 3688, 204, 204, 204, 461, 906, 1703, 68, 996, 68, 3828, 13, 325, 68, 522, 68, 29632, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2735, 273, 782, 302, 12937, 18, 7996, 16524, 1025, 273, 2010, 1348, 19, 204, 204, 264, 457, 31, 204, 268, 394, 68, 522, 68, 29632, 322, 325, 330, 6109, 302, 12937, 18, 7996, 16524, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 42120, 1348, 302, 16524, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 782, 1025, 273, 458, 302, 3157, 204, 264, 394, 68, 655, 289, 394, 68, 522, 68, 29632, 19, 1590, 16327, 204, 615, 264, 314, 3289, 311, 1814, 848, 782, 311, 273, 818, 204, 264, 810, 31, 204, 268, 818, 68, 655, 289, 551, 996, 13, 88, 14, 348, 297, 292, 394, 68, 655, 66, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 6673, 818, 2450, 31, 463, 74, 743, 204, 268, 407, 645, 19, 643, 18197, 204, 615, 264, 314, 455, 275, 458, 448, 273, 2010, 1348, 204, 264, 407, 645, 19, 643, 13, 996, 68, 655, 14, 204, 204, 204, 461, 906, 1703, 68, 2664, 68, 8765, 13, 325, 68, 522, 68, 8765, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2735, 273, 2875, 1804, 782, 1025, 273, 2010, 1348, 19, 204, 204, 264, 457, 31, 204, 268, 394, 68, 522, 68, 8765, 322, 325, 330, 412, 1344, 782, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 42120, 1348, 1174, 275, 3634, 1804, 19, 204, 264, 320, 204, 264, 314, 3289, 311, 2252, 275, 1804, 782, 204, 264, 810, 31, 204, 268, 7357, 289, 1804, 19, 12903, 13, 325, 68, 522, 68, 8765, 17, 13057, 62, 5079, 82, 5079, 73, 1564, 45, 6212, 50, 6212, 56, 431, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 6673, 1804, 31, 463, 74, 743, 204, 268, 407, 645, 19, 643, 18197, 204, 615, 264, 314, 455, 275, 3634, 1804, 448, 273, 2010, 1348, 204, 264, 407, 645, 19, 643, 1568, 5144, 694, 204, 204, 204, 461, 906, 1703, 68, 2664, 68, 3828, 13, 325, 68, 522, 68, 29632, 31, 394, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 2735, 273, 782, 302, 12937, 18, 7996, 1804, 3157, 1025, 273, 2010, 1348, 19, 204, 204, 264, 457, 31, 204, 268, 394, 68, 522, 68, 29632, 322, 325, 330, 6109, 302, 12937, 18, 7996, 1804, 3157, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 42120, 1348, 302, 3634, 1804, 88, 19, 204, 264, 320, 204, 264, 314, 3736, 275, 782, 1025, 273, 458, 302, 3157, 204, 264, 394, 68, 655, 289, 394, 68, 522, 68, 29632, 19, 1590, 16327, 204, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 615, 264, 314, 3289, 311, 2252, 848, 1804, 782, 204, 264, 810, 31, 204, 268, 7357, 68, 655, 289, 551, 2664, 19, 12903, 13, 88, 17, 13057, 62, 5079, 82, 5079, 73, 1564, 45, 6212, 50, 6212, 56, 431, 348, 297, 292, 394, 68, 655, 66, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 6673, 1804, 2450, 31, 463, 74, 743, 204, 268, 407, 645, 19, 643, 18197, 204, 615, 264, 314, 455, 275, 458, 448, 273, 2010, 1348, 204, 264, 407, 645, 19, 643, 13, 5144, 68, 655, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3688, 289, 463, 204, 268, 388, 996, 68, 644, 559, 388, 22, 19, 21, 17, 23, 19, 21, 17, 24, 19, 21, 528, 204, 268, 388, 2664, 68, 644, 559, 388, 8409, 18, 3222, 18, 3222, 1598, 31, 473, 31, 473, 528, 204, 268, 388, 2664, 68, 3828, 68, 644, 559, 388, 8409, 18, 3222, 18, 3222, 1598, 31, 473, 31, 473, 17, 8409, 18, 3222, 18, 5559, 1598, 31, 473, 31, 473, 17, 8409, 18, 3222, 18, 7432, 1598, 31, 473, 31, 473, 7, 204, 264, 1211, 204, 615, 264, 1812, 68, 32937, 289, 463, 204, 268, 388, 996, 68, 644, 559, 388, 1703, 68, 996, 68, 29632, 528, 204, 268, 388, 2664, 68, 644, 559, 388, 1703, 68, 2664, 68, 8765, 528, 204, 268, 388, 2664, 68, 3828, 68, 644, 559, 388, 1703, 68, 2664, 68, 29632, 7, 204, 264, 1211, 204, 615, 264, 6768, 68, 4591, 289, 11564, 68, 4591, 68, 12465, 269, 7665, 13, 4591, 17, 1812, 68, 32937, 14, 204, 264, 456, 13, 16724, 68, 4591, 14, 204, 0, 658, 1752, 275, 18347, 302, 273, 19467, 9354, 204, 204, 673, 7464, 4554, 5150, 529, 800, 448, 435, 9732, 1168, 292, 560, 368, 9732, 720, 292, 19, 2416, 1020, 275, 8089, 17, 572, 1519, 311, 881, 275, 5466, 302, 830, 2902, 19, 204, 204, 5834, 17, 1814, 275, 5150, 311, 273, 2875, 2350, 322, 22520, 14, 348, 12116, 31, 204, 18, 435, 9732, 289, 435, 540, 1598, 289, 3528, 292, 17, 754, 435, 9732, 1168, 292, 289, 3528, 292, 465, 1168, 292, 289, 7207, 292, 204, 18, 368, 9732, 289, 368, 540, 1598, 289, 1598, 292, 17, 754, 368, 9732, 720, 292, 289, 1598, 292, 465, 720, 292, 289, 3139, 292, 204, 204, 673, 7464, 4554, 353, 273, 4392, 17, 754, 490, 869, 970, 2902, 302, 7207, 292, 329, 970, 2902, 302, 3139, 292, 19, 204, 204, 29187, 289, 1066, 302, 830, 2902, 204, 34, 7207, 292, 465, 7207, 292, 465, 3139, 292, 465, 3139, 292, 204, 34, 13748, 292, 204, 204, 1449, 5620, 17, 1814, 275, 1113, 6887, 311, 5301, 329, 6887, 31, 204, 5007, 292, 289, 1132, 9732, 322, 8500, 13748, 802, 1598, 289, 1132, 14, 204, 204, 4356, 17, 275, 8089, 302, 275, 7464, 4554, 353, 1132, 9732, 19, 0, 3719, 610, 353, 273, 2318, 542, 17, 1020, 275, 933, 302, 610, 496, 12478, 275, 800, 8047, 19, 204, 204, 673, 800, 8047, 353, 31, 2175, 13, 772, 318, 14, 322, 25, 93, 338, 610, 67, 23, 20, 24, 14, 11253, 500, 204, 204, 4592, 275, 14821, 302, 273, 542, 353, 3114, 1194, 521, 1936, 311, 500, 17, 275, 542, 5398, 1631, 444, 3114, 1194, 521, 1936, 311, 368, 19, 716, 204, 2551, 17, 681, 93, 338, 610, 67, 23, 20, 24, 11253, 368, 204, 204, 18672, 275, 8047, 17, 572, 636, 31, 226, 204, 93, 67, 23, 338, 681, 93, 465, 571, 8103, 500, 204, 204, 1449, 2616, 808, 6884, 8047, 17, 572, 618, 38112, 490, 31, 204, 13, 93, 338, 368, 3085, 93, 338, 571, 14, 8103, 500, 204, 204, 1834, 8047, 353, 3597, 1330, 322, 93, 338, 368, 14, 329, 322, 93, 338, 571, 14, 874, 7283, 9649, 17, 928, 11080, 1330, 368, 8103, 610, 8103, 571, 19, 204, 204, 4356, 17, 275, 933, 302, 610, 496, 12478, 275, 800, 8047, 353, 368, 8103, 610, 8103, 571, 19, 0, 315, 204, 25835, 677, 35511, 741, 17, 17147, 13, 83, 659, 353, 1376, 311, 3822, 275, 542, 302, 886, 2202, 1194, 300, 928, 529, 10976, 2727, 311, 300, 19, 204, 673, 5210, 353, 311, 1020, 275, 700, 302, 300, 8103, 368, 17, 1207, 17, 1207, 348, 928, 300, 20, 16066, 13, 83, 14, 353, 273, 1646, 19, 204, 315, 204, 204, 531, 2821, 532, 5900, 204, 531, 1498, 532, 14076, 204, 204, 461, 40946, 68, 14472, 1275, 13, 83, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 888, 14712, 677, 35511, 741, 17, 17147, 13, 83, 659, 928, 353, 275, 542, 302, 886, 2202, 1194, 300, 496, 529, 10976, 2727, 311, 300, 19, 204, 204, 264, 457, 31, 204, 268, 300, 322, 339, 330, 334, 537, 542, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 722, 302, 14712, 677, 35511, 741, 19, 204, 264, 320, 204, 264, 722, 289, 300, 204, 264, 284, 289, 435, 204, 264, 1335, 284, 540, 284, 2186, 300, 31, 204, 268, 314, 828, 284, 353, 273, 2727, 2479, 302, 300, 17, 1395, 300, 329, 722, 204, 268, 397, 300, 1564, 284, 564, 500, 31, 204, 305, 1335, 300, 1564, 284, 564, 500, 31, 204, 485, 300, 25885, 284, 204, 305, 722, 4922, 722, 3166, 284, 204, 268, 284, 1412, 368, 204, 264, 314, 828, 300, 353, 273, 2727, 542, 3114, 1194, 368, 204, 264, 397, 300, 1323, 368, 31, 204, 268, 722, 4922, 722, 3166, 300, 204, 264, 407, 722, 204, 204, 461, 1020, 68, 1129, 68, 83, 13, 16052, 31, 421, 14, 393, 421, 31, 204, 264, 320, 204, 264, 1752, 275, 700, 302, 300, 8103, 1646, 348, 928, 300, 20, 16066, 13, 83, 14, 353, 273, 1646, 19, 204, 204, 264, 457, 31, 204, 268, 1646, 322, 339, 330, 334, 3482, 2689, 348, 300, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 700, 302, 300, 348, 928, 300, 20, 16066, 13, 83, 14, 353, 273, 1646, 19, 204, 264, 320, 204, 264, 846, 68, 6534, 289, 500, 204, 264, 846, 68, 83, 289, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 500, 204, 264, 348, 300, 292, 933, 13, 22, 17, 1646, 465, 368, 330, 204, 268, 314, 888, 14712, 677, 35511, 741, 204, 268, 14482, 68, 83, 289, 40946, 68, 14472, 1275, 13, 83, 14, 204, 268, 314, 888, 275, 3726, 300, 20, 16066, 13, 83, 14, 204, 268, 3726, 289, 300, 802, 14482, 68, 83, 204, 268, 314, 1716, 846, 68, 83, 397, 275, 790, 3726, 353, 3114, 1194, 846, 68, 6534, 204, 268, 397, 3726, 1323, 846, 68, 6534, 31, 204, 305, 846, 68, 6534, 289, 3726, 204, 305, 846, 68, 83, 289, 300, 204, 264, 407, 846, 68, 83, 204, 204, 403, 589, 417, 367, 564, 2325, 660, 2376, 204, 264, 810, 31, 204, 268, 1646, 289, 421, 13, 768, 499, 2101, 275, 1646, 700, 322, 2305, 31, 21920, 330, 2810, 521, 21920, 14, 204, 268, 397, 1646, 2186, 500, 31, 204, 305, 980, 987, 499, 14020, 1631, 444, 273, 2140, 1534, 431, 204, 264, 827, 987, 448, 318, 31, 204, 268, 456, 13, 75, 7, 596, 31, 463, 74, 743, 204, 268, 1646, 289, 21920, 204, 204, 264, 456, 13, 75, 7, 673, 700, 302, 300, 8103, 463, 16052, 98, 348, 928, 300, 20, 16066, 13, 83, 14, 353, 273, 1646, 353, 31, 463, 2269, 68, 1129, 68, 83, 13, 16052, 3835, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 647, 1437, 204, 647, 15397, 204, 647, 15397, 19, 13558, 448, 8112, 204, 647, 1437, 19, 2606, 448, 2839, 204, 647, 1437, 19, 2606, 19, 14213, 448, 472, 204, 647, 1437, 19, 4647, 448, 2976, 204, 531, 1437, 19, 2918, 19, 481, 532, 9954, 17, 8641, 204, 647, 1127, 204, 647, 2044, 23, 204, 531, 1137, 68, 2182, 532, 1485, 204, 204, 676, 13222, 1655, 13, 2606, 19, 3732, 330, 204, 264, 320, 204, 264, 332, 3277, 17816, 15301, 9389, 322, 19965, 14, 570, 19, 204, 204, 264, 1532, 31, 204, 268, 7468, 22, 322, 2606, 19, 6769, 23, 73, 330, 334, 1043, 7752, 2522, 19, 204, 268, 5089, 22, 322, 2606, 19, 30946, 7884, 23, 73, 330, 334, 1043, 2480, 14549, 2522, 19, 204, 268, 7468, 23, 322, 2606, 19, 6769, 23, 73, 330, 334, 1350, 7752, 2522, 19, 204, 268, 5089, 23, 322, 2606, 19, 30946, 7884, 23, 73, 330, 334, 1350, 2480, 14549, 2522, 19, 204, 268, 19224, 22, 322, 2606, 19, 6446, 330, 334, 1043, 8106, 4851, 2522, 19, 204, 268, 19224, 23, 322, 2606, 19, 6446, 330, 334, 1350, 8106, 4851, 2522, 19, 204, 268, 19224, 24, 322, 2606, 19, 6446, 330, 334, 4986, 8106, 4851, 2522, 19, 204, 264, 320, 204, 204, 264, 436, 589, 924, 889, 327, 330, 204, 268, 2234, 13, 19965, 1655, 17, 370, 7906, 924, 6203, 204, 268, 370, 19, 4575, 22, 289, 2839, 19, 6769, 23, 73, 13, 24, 17, 681, 17, 571, 17, 5204, 34, 22, 14, 204, 268, 370, 19, 5108, 22, 289, 2839, 19, 30946, 7884, 23, 73, 13, 23, 17, 8096, 34, 23, 14, 204, 268, 370, 19, 4575, 23, 289, 2839, 19, 6769, 23, 73, 13, 25, 17, 2247, 17, 571, 17, 5204, 34, 22, 14, 204, 268, 370, 19, 5108, 23, 289, 2839, 19, 30946, 7884, 23, 73, 13, 23, 17, 8096, 34, 23, 14, 204, 268, 370, 19, 6586, 22, 289, 2839, 19, 6446, 13, 1845, 540, 5737, 540, 5737, 17, 3861, 14, 204, 268, 370, 19, 6586, 23, 289, 2839, 19, 6446, 13, 5758, 17, 1607, 14, 204, 268, 370, 19, 6586, 24, 289, 2839, 19, 6446, 13, 2051, 17, 1168, 14, 204, 204, 264, 436, 4533, 13, 327, 17, 610, 31, 1437, 19, 1556, 14, 393, 1437, 19, 1556, 31, 204, 268, 320, 204, 268, 9711, 1879, 302, 275, 570, 19, 204, 204, 268, 457, 31, 204, 305, 610, 322, 3109, 19, 1556, 330, 334, 537, 2162, 19, 204, 204, 268, 475, 31, 204, 305, 1437, 19, 1556, 31, 334, 919, 2162, 19, 204, 268, 320, 204, 268, 610, 289, 472, 19, 5723, 13, 327, 19, 4575, 22, 13, 93, 602, 226, 314, 3291, 14479, 4142, 741, 204, 268, 610, 289, 370, 19, 5108, 22, 13, 93, 14, 226, 314, 3291, 2480, 14549, 204, 268, 610, 289, 472, 19, 5723, 13, 327, 19, 4575, 23, 13, 93, 602, 226, 314, 3291, 14479, 4142, 741, 204, 268, 610, 289, 370, 19, 5108, 23, 13, 93, 14, 226, 314, 3291, 2480, 14549, 204, 268, 610, 289, 610, 19, 1529, 13, 93, 19, 835, 13, 21, 659, 338, 22, 14, 226, 314, 15822, 275, 2162, 204, 268, 610, 289, 472, 19, 5723, 13, 327, 19, 6586, 22, 13, 93, 602, 226, 314, 3291, 14479, 4142, 741, 204, 268, 610, 289, 472, 19, 5723, 13, 327, 19, 6586, 23, 13, 93, 602, 226, 314, 3291, 14479, 4142, 741, 204, 268, 610, 289, 370, 19, 6586, 24, 13, 93, 14, 226, 314, 3291, 3542, 6220, 204, 268, 407, 610, 204, 204, 461, 949, 68, 5893, 13, 809, 31, 2839, 19, 3732, 17, 424, 68, 3670, 31, 8641, 17, 2322, 31, 1437, 19, 3075, 14, 393, 818, 31, 204, 264, 320, 204, 264, 888, 275, 3666, 302, 275, 570, 523, 275, 800, 424, 6707, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 3953, 19, 204, 268, 424, 68, 3670, 322, 10535, 330, 334, 424, 6707, 311, 732, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 818, 31, 334, 3666, 302, 275, 570, 19, 204, 264, 320, 204, 264, 1706, 289, 500, 204, 264, 1113, 289, 500, 204, 264, 440, 1437, 19, 1625, 68, 6164, 1293, 204, 268, 348, 424, 292, 424, 68, 3670, 31, 204, 305, 3806, 17, 1769, 289, 424, 64, 21, 1664, 633, 13, 3075, 659, 424, 64, 22, 1664, 633, 13, 3075, 14, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 6915, 3908, 289, 1437, 19, 1129, 13, 7247, 19, 481, 17, 368, 14, 204, 305, 1113, 1412, 1769, 19, 835, 13, 21, 14, 204, 305, 1706, 1412, 322, 10609, 564, 1769, 789, 1303, 1528, 1271, 374, 204, 264, 407, 1706, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 802, 1113, 204, 204, 461, 949, 68, 18666, 68, 1663, 13, 809, 31, 2839, 19, 3732, 17, 424, 68, 3670, 31, 8641, 17, 2322, 31, 1437, 19, 3075, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 888, 275, 9578, 1525, 302, 275, 570, 523, 275, 800, 424, 6707, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 3953, 19, 204, 268, 424, 68, 3670, 322, 10535, 330, 334, 424, 6707, 311, 732, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 9578, 1525, 302, 275, 570, 19, 204, 264, 320, 204, 264, 9578, 68, 1663, 289, 645, 19, 4324, 1802, 28, 17, 1168, 602, 204, 264, 440, 1437, 19, 1625, 68, 6164, 1293, 204, 268, 348, 424, 292, 424, 68, 3670, 31, 204, 305, 3806, 17, 1769, 289, 424, 64, 21, 1664, 633, 13, 3075, 659, 424, 64, 22, 1664, 633, 13, 3075, 14, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 6915, 3908, 289, 1437, 19, 1129, 13, 7247, 19, 481, 17, 368, 14, 204, 305, 348, 296, 292, 933, 13, 10609, 19, 1827, 64, 21, 1037, 204, 485, 9578, 68, 1663, 64, 2185, 64, 78, 1664, 1271, 374, 1799, 10609, 64, 78, 1664, 1271, 6485, 1412, 368, 204, 264, 407, 9578, 68, 1663, 204, 204, 461, 951, 68, 809, 13, 809, 31, 2839, 19, 3732, 17, 951, 68, 3670, 31, 8641, 17, 1097, 68, 3670, 31, 8641, 17, 2322, 31, 1437, 19, 3075, 17, 6175, 31, 421, 17, 3100, 68, 1949, 31, 818, 14, 393, 443, 31, 204, 264, 320, 204, 264, 2672, 275, 570, 523, 275, 800, 424, 18173, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 951, 19, 204, 268, 951, 68, 3670, 322, 10535, 330, 334, 1737, 424, 6707, 19, 204, 268, 1097, 68, 3670, 322, 10535, 330, 334, 3587, 424, 6707, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 19, 204, 268, 6175, 322, 339, 330, 334, 542, 302, 6175, 311, 951, 19, 204, 268, 3100, 68, 1949, 322, 996, 330, 334, 3100, 2233, 311, 732, 19, 204, 264, 320, 204, 264, 314, 977, 9616, 329, 4209, 204, 264, 9616, 289, 2839, 19, 24987, 374, 204, 264, 4209, 289, 2976, 19, 12967, 13, 809, 19, 3465, 2144, 10264, 34, 6859, 68, 1949, 14, 204, 204, 264, 314, 5360, 570, 311, 2322, 204, 264, 570, 19, 633, 13, 3075, 14, 204, 204, 264, 314, 2672, 570, 204, 264, 348, 3741, 292, 933, 13, 7064, 330, 204, 268, 4436, 68, 2650, 289, 500, 19, 21, 204, 268, 348, 296, 17, 424, 292, 3209, 13, 1219, 68, 3670, 17, 500, 330, 204, 305, 3806, 17, 1769, 289, 424, 64, 21, 1664, 633, 13, 3075, 659, 424, 64, 22, 1664, 633, 13, 3075, 14, 204, 305, 4209, 19, 5306, 68, 6164, 374, 204, 305, 6360, 289, 570, 13, 4599, 14, 204, 305, 2210, 289, 9616, 13, 7247, 17, 1769, 14, 204, 305, 2210, 19, 12242, 374, 204, 305, 4209, 19, 2290, 374, 204, 305, 4436, 68, 2650, 1412, 2210, 19, 1271, 374, 204, 305, 397, 296, 1564, 931, 564, 1233, 31, 204, 485, 456, 13, 75, 30762, 4220, 16, 22, 1522, 463, 78, 16, 22, 11129, 2210, 31, 463, 10051, 68, 2650, 20, 1003, 4567, 28, 75, 743, 204, 485, 4436, 68, 2650, 289, 500, 19, 21, 204, 204, 461, 3953, 68, 809, 13, 809, 31, 2839, 19, 3732, 17, 951, 68, 3670, 31, 8641, 17, 1097, 68, 3670, 31, 8641, 17, 2322, 31, 1437, 19, 3075, 14, 393, 443, 31, 204, 264, 320, 204, 264, 4938, 275, 570, 523, 275, 800, 424, 18173, 19, 204, 204, 264, 457, 31, 204, 268, 570, 322, 2606, 19, 3732, 330, 334, 570, 311, 3953, 19, 204, 268, 951, 68, 3670, 322, 10535, 330, 334, 1737, 424, 6707, 19, 204, 268, 1097, 68, 3670, 322, 10535, 330, 334, 3587, 424, 6707, 19, 204, 268, 2322, 322, 3109, 19, 3075, 330, 334, 2322, 311, 732, 19, 204, 264, 320, 204, 264, 314, 888, 3666, 329, 9578, 1525, 204, 264, 951, 68, 5893, 289, 949, 68, 5893, 13, 809, 17, 951, 68, 3670, 17, 2322, 14, 204, 264, 1097, 68, 5893, 289, 949, 68, 5893, 13, 809, 17, 1097, 68, 3670, 17, 2322, 14, 204, 264, 951, 68, 18666, 68, 1663, 289, 949, 68, 18666, 68, 1663, 13, 809, 17, 951, 68, 3670, 17, 2322, 14, 204, 264, 1097, 68, 18666, 68, 1663, 289, 949, 68, 18666, 68, 1663, 13, 809, 17, 1097, 68, 3670, 17, 2322, 14, 204, 204, 264, 314, 1198, 1563, 204, 264, 456, 13, 75, 7, 7791, 3666, 31, 463, 1219, 68, 5893, 4567, 23, 75, 28131, 204, 264, 456, 13, 75, 7, 5141, 3666, 31, 463, 1018, 68, 5893, 4567, 23, 75, 28131, 204, 264, 456, 499, 7791, 9578, 1525, 2212, 204, 264, 456, 13, 1219, 68, 18666, 68, 1663, 14, 204, 264, 456, 499, 5141, 9578, 1525, 2212, 204, 264, 456, 13, 1018, 68, 18666, 68, 1663, 14, 204, 204, 461, 667, 1293, 204, 264, 314, 1359, 11848, 204, 264, 2068, 68, 835, 289, 931, 204, 264, 6175, 289, 720, 204, 264, 3100, 68, 1949, 289, 368, 74, 18, 24, 204, 204, 264, 314, 1359, 2322, 204, 264, 2322, 289, 1437, 19, 3075, 499, 6938, 7, 397, 1437, 19, 6938, 19, 360, 68, 6772, 374, 902, 388, 6995, 431, 204, 204, 264, 314, 1385, 1485, 204, 264, 832, 289, 388, 41, 18375, 14846, 1208, 4727, 31493, 887, 4727, 8451, 9579, 1003, 4727, 32156, 571, 4727, 7, 204, 264, 3101, 68, 2182, 289, 1485, 13, 2029, 34, 865, 19, 546, 19, 1541, 13, 546, 17, 388, 1219, 19, 77, 26, 3687, 204, 264, 951, 68, 835, 289, 421, 13, 1796, 13, 5022, 68, 2182, 14, 540, 500, 19, 29, 14, 204, 264, 1097, 68, 835, 289, 1245, 13, 5022, 68, 2182, 14, 338, 951, 68, 835, 204, 264, 951, 68, 2182, 17, 1097, 68, 2182, 289, 1437, 19, 2918, 19, 481, 19, 2017, 68, 1590, 13, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3878, 831, 9399, 2822, 28233, 8069, 1871, 568, 226, 3878, 831, 9399, 2822, 3079, 11519, 12391, 568, 226, 3878, 831, 9399, 2822, 27782, 9230, 13866, 568, 226, 3878, 831, 9399, 2822, 2494, 41309, 7702, 23575, 568, 226, 3878, 831, 9399, 2822, 9477, 12708, 16961, 14708, 568, 204, 13240, 3854, 3028, 4015, 9121, 2183, 16322, 2781, 26268, 20326, 26856, 34575, 4667, 1189, 4015, 3500, 2822, 11066, 2183, 460, 10947, 14249, 29181, 226, 24047, 2780, 22069, 942, 27546, 9121, 2183, 41314, 408, 19446, 7678, 15793, 5844, 568, 1432, 40940, 15276, 8840, 2780, 16192, 3227, 921, 20936, 8356, 5844, 9121, 2183, 3362, 3812, 204, 831, 12598, 9863, 408, 3977, 18777, 9903, 4224, 2110, 408, 2934, 1946, 18876, 30025, 990, 17690, 8028, 37220, 22395, 24750, 8028, 1401, 37244, 13349, 8128, 47855, 725, 25978, 1099, 114, 2791, 6077, 24555, 2433, 1843, 18706, 8780, 9466, 17605, 21161, 16174, 37022, 20283, 13531, 408, 3879, 1189, 4264, 26, 28998, 27810, 9466, 831, 15097, 4762, 15098, 2822, 8293, 1116, 408, 3038, 7441, 18109, 1524, 36251, 39791, 11587, 1116, 24488, 15344, 22313, 460, 38184, 37656, 568, 2433, 1843, 18706, 8780, 4788, 4788, 1189, 3984, 408, 24554, 33532, 19500, 1970, 5883, 408, 23060, 18148, 5928, 1970, 3136, 6969, 2110, 1251, 13189, 408, 7441, 3468, 3407, 1524, 43413, 3064, 2773, 6311, 408, 4276, 16486, 25213, 24555, 460, 9466, 17605, 21161, 3064, 3136, 6553, 1390, 875, 106, 13272, 408, 1390, 6998, 9486, 1670, 4775, 6021, 23448, 13172, 12569, 9121, 568, 4796, 3131, 4136, 990, 17690, 8028, 1001, 460, 3977, 18777, 875, 106, 2730, 10400, 226, 10448, 7589, 3654, 43484, 37439, 5182, 204, 0, 461, 1020, 68, 1549, 6732, 68, 876, 13, 2626, 31, 458, 64, 339, 648, 7448, 68, 4266, 14, 393, 421, 1152, 443, 31, 204, 264, 320, 204, 264, 6746, 275, 8282, 700, 292, 273, 1767, 1609, 523, 275, 1917, 7448, 741, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 268, 7448, 68, 4266, 322, 10740, 330, 332, 741, 496, 5178, 970, 1906, 329, 2584, 959, 397, 275, 1043, 4601, 353, 508, 275, 8282, 700, 19, 204, 204, 264, 475, 31, 204, 268, 421, 1152, 443, 31, 334, 8282, 700, 397, 275, 1767, 353, 508, 1392, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1767, 353, 1392, 204, 264, 397, 508, 1767, 31, 204, 268, 407, 443, 204, 204, 264, 314, 977, 275, 8282, 700, 440, 275, 1043, 1103, 302, 275, 1767, 204, 264, 8282, 68, 876, 289, 1767, 64, 21, 66, 204, 264, 314, 1861, 1048, 275, 3022, 302, 275, 1767, 311, 1020, 275, 8282, 700, 204, 264, 348, 771, 292, 1767, 64, 22, 15136, 204, 268, 314, 1716, 275, 8282, 700, 397, 275, 790, 542, 353, 275, 8282, 700, 204, 268, 397, 7448, 68, 4266, 13, 920, 17, 8282, 68, 876, 330, 204, 305, 8282, 68, 876, 289, 771, 204, 204, 264, 407, 8282, 68, 876, 204, 204, 204, 461, 1020, 68, 1129, 68, 876, 13, 2626, 31, 458, 64, 339, 694, 393, 421, 1152, 443, 31, 204, 264, 320, 204, 264, 6746, 275, 1646, 700, 292, 273, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 1152, 443, 31, 334, 1646, 700, 397, 275, 1767, 353, 508, 1392, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 1020, 68, 1549, 6732, 68, 876, 741, 440, 273, 7448, 741, 496, 2584, 959, 397, 275, 1043, 4601, 353, 3114, 1194, 275, 1350, 204, 264, 407, 1020, 68, 1549, 6732, 68, 876, 13, 2626, 17, 4464, 610, 17, 469, 31, 610, 1323, 469, 14, 204, 204, 204, 461, 1020, 68, 885, 68, 876, 13, 2626, 31, 458, 64, 339, 694, 393, 421, 1152, 443, 31, 204, 264, 320, 204, 264, 6746, 275, 2311, 700, 292, 273, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 1152, 443, 31, 334, 2311, 700, 397, 275, 1767, 353, 508, 1392, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 1020, 68, 1549, 6732, 68, 876, 741, 440, 273, 7448, 741, 496, 2584, 959, 397, 275, 1043, 4601, 353, 2202, 1194, 275, 1350, 204, 264, 407, 1020, 68, 1549, 6732, 68, 876, 13, 2626, 17, 4464, 610, 17, 469, 31, 610, 962, 469, 14, 204, 204, 204, 461, 949, 68, 2626, 68, 1303, 13, 2626, 31, 458, 64, 339, 694, 393, 421, 31, 204, 264, 320, 204, 264, 3989, 275, 1066, 302, 273, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 421, 31, 334, 1066, 302, 275, 1767, 19, 204, 264, 320, 204, 264, 314, 1974, 275, 5082, 18, 266, 1066, 741, 311, 949, 275, 1066, 302, 275, 1767, 204, 264, 407, 1066, 13, 2626, 14, 204, 204, 204, 461, 949, 68, 2626, 68, 5670, 13, 2626, 31, 458, 64, 339, 694, 393, 818, 1152, 443, 31, 204, 264, 320, 204, 264, 3989, 275, 2480, 700, 302, 273, 1767, 19, 204, 204, 264, 457, 31, 204, 268, 1767, 322, 655, 64, 339, 1037, 334, 537, 1767, 302, 1892, 19, 204, 204, 264, 475, 31, 204, 268, 818, 1152, 443, 31, 334, 2480, 700, 397, 275, 1767, 353, 508, 1392, 17, 2130, 443, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 1767, 353, 1392, 204, 264, 397, 508, 1767, 31, 204, 268, 407, 443, 204, 264, 314, 888, 275, 2480, 700, 560, 8631, 275, 1066, 302, 275, 1767, 560, 1163, 1277, 204, 264, 407, 949, 68, 2626, 68, 1303, 13, 2626, 14, 802, 1245, 13, 2626, 14, 204, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 1767, 289, 551, 22, 17, 435, 17, 571, 17, 681, 17, 720, 66, 204, 264, 456, 499, 14020, 700, 2180, 1020, 68, 1129, 68, 876, 13, 2626, 602, 204, 264, 456, 499, 14543, 700, 2180, 1020, 68, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 885, 68, 876, 13, 2626, 602, 204, 264, 456, 499, 7279, 2180, 949, 68, 2626, 68, 1303, 13, 2626, 602, 204, 264, 456, 499, 11769, 2180, 949, 68, 2626, 68, 5670, 13, 2626, 602, 204, 0, 647, 4378, 19, 5380, 448, 1513, 204, 647, 2010, 448, 645, 204, 647, 3805, 448, 1246, 204, 531, 9325, 19, 5232, 532, 4849, 481, 204, 204, 461, 949, 68, 5477, 68, 85, 1309, 13, 25915, 68, 85, 1309, 31, 645, 19, 766, 14, 393, 645, 19, 766, 31, 204, 264, 320, 204, 264, 888, 275, 1812, 322, 8745, 447, 10138, 14, 284, 18, 1309, 19, 204, 204, 264, 457, 31, 204, 268, 8696, 68, 85, 1309, 322, 1123, 19, 766, 330, 334, 8696, 284, 18, 1309, 19, 204, 204, 264, 475, 31, 204, 268, 645, 19, 766, 31, 334, 1812, 284, 18, 1309, 19, 204, 264, 320, 204, 264, 314, 888, 275, 4849, 302, 848, 284, 18, 876, 329, 3281, 560, 275, 1113, 542, 302, 284, 18, 1309, 204, 264, 407, 4849, 481, 13, 25915, 68, 85, 1309, 14, 802, 1245, 13, 25915, 68, 85, 1309, 14, 204, 204, 204, 461, 7324, 68, 481, 13, 25915, 68, 85, 1309, 31, 645, 19, 766, 14, 393, 927, 31, 204, 264, 320, 204, 264, 8254, 275, 424, 348, 15905, 560, 13931, 7152, 440, 275, 5527, 1950, 18, 5306, 700, 19, 204, 204, 264, 457, 31, 204, 268, 8696, 68, 85, 1309, 322, 1123, 19, 766, 330, 334, 8696, 284, 18, 1309, 19, 204, 204, 264, 475, 31, 204, 268, 927, 31, 332, 927, 1174, 275, 1812, 284, 18, 1309, 329, 275, 9750, 8696, 284, 18, 1309, 19, 204, 264, 320, 204, 264, 314, 888, 275, 1812, 284, 18, 1309, 204, 264, 1812, 68, 85, 1309, 289, 949, 68, 5477, 68, 85, 1309, 13, 25915, 68, 85, 1309, 14, 204, 615, 264, 314, 2208, 275, 8696, 284, 18, 1309, 311, 273, 3805, 10665, 348, 9509, 20131, 204, 264, 8696, 68, 85, 1309, 68, 6242, 289, 1246, 19, 4813, 13, 25915, 68, 85, 1309, 14, 204, 615, 264, 314, 778, 397, 1422, 529, 1169, 2962, 284, 18, 1309, 204, 264, 397, 645, 19, 765, 68, 25929, 13, 25915, 68, 85, 1309, 14, 2167, 1245, 13, 25915, 68, 85, 1309, 330, 204, 268, 314, 1752, 275, 5527, 1950, 18, 5306, 284, 18, 876, 204, 268, 5527, 68, 5198, 68, 5306, 289, 8696, 68, 85, 1309, 68, 6242, 64, 25915, 68, 85, 1309, 68, 6242, 2167, 500, 1664, 885, 374, 204, 822, 268, 314, 4546, 2962, 284, 18, 1309, 440, 275, 5527, 1950, 18, 5306, 284, 18, 876, 204, 268, 8696, 68, 85, 1309, 68, 6242, 19, 1229, 64, 25915, 68, 85, 1309, 68, 6242, 564, 500, 66, 289, 5527, 68, 5198, 68, 5306, 204, 615, 264, 407, 1812, 68, 85, 1309, 17, 8696, 68, 85, 1309, 68, 6242, 204, 204, 204, 461, 1807, 68, 85, 876, 68, 22344, 1657, 13, 25915, 68, 85, 1309, 31, 645, 19, 766, 17, 1711, 31, 1513, 19, 16571, 289, 443, 17, 930, 2251, 14, 393, 1513, 19, 16571, 31, 204, 264, 320, 204, 264, 3045, 275, 1812, 9790, 19, 8696, 284, 18, 1309, 19, 204, 204, 264, 457, 31, 204, 268, 8696, 68, 85, 1309, 322, 1123, 19, 766, 330, 334, 8696, 284, 18, 1309, 19, 204, 268, 1711, 322, 14480, 19, 16571, 17, 1448, 330, 334, 3138, 311, 1807, 523, 19, 1243, 311, 443, 19, 204, 268, 930, 2251, 31, 6119, 4541, 1906, 311, 1879, 311, 275, 11250, 1807, 741, 19, 204, 204, 264, 475, 31, 204, 268, 1513, 19, 16571, 31, 334, 3138, 726, 19, 204, 264, 320, 204, 264, 314, 666, 273, 717, 4368, 329, 3138, 397, 11077, 353, 1917, 204, 264, 397, 1711, 353, 443, 31, 204, 268, 2836, 17, 1711, 289, 1513, 19, 11552, 374, 204, 615, 264, 314, 8254, 275, 424, 348, 15905, 204, 264, 1812, 68, 85, 1309, 17, 8696, 68, 85, 1309, 289, 7324, 68, 481, 13, 25915, 68, 85, 1309, 14, 204, 615, 264, 314, 888, 275, 2917, 711, 1003, 302, 275, 284, 18, 1309, 204, 264, 610, 68, 761, 289, 338, 1123, 19, 761, 1003, 13, 5477, 68, 85, 1309, 14, 204, 264, 469, 68, 761, 289, 338, 1123, 19, 761, 1003, 13, 25915, 68, 85, 1309, 14, 204, 615, 264, 314, 3045, 275, 11250, 1807, 204, 264, 1711, 19, 10129, 13, 93, 68, 761, 17, 469, 68, 761, 17, 930, 2251, 14, 204, 615, 264, 314, 4456, 275, 469, 34, 93, 1007, 204, 264, 610, 68, 1735, 17, 610, 68, 1633, 289, 1711, 19, 505, 68, 19436, 374, 204, 264, 1711, 19, 1657, 1568, 21, 17, 610, 68, 1633, 648, 551, 21, 17, 610, 68, 1633, 648, 1848, 833, 8683, 491, 24961, 833, 27780, 1588, 534, 204, 615, 264, 314, 1359, 275, 3138, 1769, 204, 264, 1711, 19, 574, 68, 7246, 611, 11741, 338, 761, 1003, 284, 18, 876, 534, 204, 264, 1711, 19, 574, 68, 7127, 611, 13759, 14917, 338, 761, 1003, 284, 18, 876, 534, 204, 615, 264, 407, 1711, 204, 204, 204, 8, 1165, 1265, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 314, 2069, 1429, 1400, 284, 18, 1309, 204, 264, 645, 19, 2017, 19, 5273, 13, 21, 14, 204, 264, 8696, 68, 85, 1309, 289, 645, 19, 2017, 19, 8745, 13, 21, 17, 368, 17, 1302, 34, 2051, 14, 204, 615, 264, 314, 3045, 275, 284, 18, 876, 1301, 18, 54, 1807, 204, 264, 1711, 289, 1807, 68, 85, 876, 68, 22344, 1657, 13, 25915, 68, 85, 1309, 14, 204, 264, 1513, 19, 2896, 374, 204, 0, 531, 8632, 532, 8204, 204, 531, 1804, 532, 1804, 204, 531, 1498, 532, 1535, 204, 204, 37, 6611, 204, 676, 48931, 31, 204, 264, 320, 204, 264, 2646, 273, 4240, 3062, 440, 1163, 4163, 19, 204, 204, 264, 1532, 31, 204, 268, 1724, 322, 325, 330, 334, 1724, 302, 275, 4240, 3062, 19, 204, 268, 1666, 322, 325, 330, 334, 1666, 302, 275, 4240, 3062, 19, 204, 268, 752, 68, 805, 322, 325, 330, 334, 1274, 302, 275, 752, 3610, 440, 275, 4240, 3062, 19, 204, 268, 752, 23, 492, 322, 325, 330, 334, 1068, 4989, 497, 275, 752, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 19, 204, 268, 6193, 68, 269, 322, 2664, 330, 334, 1489, 329, 690, 1330, 275, 4240, 3062, 867, 6193, 19, 204, 264, 320, 204, 204, 264, 1724, 31, 394, 204, 264, 1666, 31, 394, 204, 264, 752, 68, 805, 31, 394, 204, 264, 752, 23, 492, 31, 1535, 64, 325, 66, 289, 443, 204, 264, 6193, 68, 269, 31, 1804, 289, 1804, 19, 1520, 374, 204, 204, 264, 436, 589, 2288, 68, 924, 889, 327, 330, 204, 268, 314, 3866, 275, 537, 424, 204, 268, 397, 508, 2381, 13, 327, 19, 1778, 17, 394, 14, 521, 508, 370, 19, 1778, 19, 2892, 1293, 204, 305, 980, 987, 499, 10453, 1631, 444, 273, 1950, 18, 4868, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 2387, 17, 394, 14, 521, 508, 370, 19, 2387, 19, 2892, 1293, 204, 305, 980, 987, 499, 8334, 1631, 444, 273, 1950, 18, 4868, 782, 431, 204, 268, 397, 508, 2381, 13, 327, 19, 935, 68, 805, 17, 394, 14, 521, 508, 370, 19, 935, 68, 805, 19, 2892, 1293, 204, 305, 980, 987, 499, 3873, 1274, 1631, 444, 273, 1950, 18, 4868, 782, 431, 204, 204, 264, 436, 1395, 68, 935, 23, 492, 13, 327, 17, 717, 68, 935, 23, 492, 31, 394, 14, 393, 443, 31, 204, 268, 320, 204, 268, 5307, 275, 752, 23, 492, 3929, 302, 275, 4240, 3062, 19, 204, 204, 268, 457, 31, 204, 305, 717, 68, 935, 23, 492, 322, 325, 330, 334, 717, 1068, 4989, 497, 275, 752, 19, 204, 268, 320, 204, 268, 314, 3866, 275, 537, 424, 204, 268, 397, 508, 2381, 13, 1957, 68, 935, 23, 492, 17, 394, 330, 204, 305, 980, 987, 499, 3873, 23, 492, 1631, 444, 273, 782, 431, 204, 268, 370, 19, 935, 23, 492, 289, 717, 68, 935, 23, 492, 204, 204, 264, 436, 589, 325, 889, 327, 14, 393, 394, 31, 204, 268, 320, 204, 268, 475, 273, 782, 2355, 302, 275, 4240, 3062, 19, 204, 204, 268, 475, 31, 204, 305, 394, 31, 332, 782, 2355, 302, 275, 4240, 3062, 19, 204, 268, 320, 204, 268, 407, 283, 7, 10453, 31, 463, 327, 19, 1778, 2277, 83, 8334, 31, 463, 327, 19, 2387, 2277, 83, 3873, 1274, 31, 463, 327, 19, 935, 68, 805, 2277, 83, 3873, 23, 492, 31, 463, 327, 19, 935, 23, 492, 2277, 83, 30210, 630, 31, 463, 327, 19, 14928, 68, 269, 2495, 204, 204, 8, 1165, 1265, 31, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 3062, 289, 48931, 13, 204, 268, 1724, 1022, 5063, 9582, 9461, 528, 204, 268, 1666, 1022, 1834, 353, 437, 1763, 4240, 3062, 7729, 204, 268, 752, 68, 805, 1022, 3189, 1963, 2569, 19, 1453, 20, 935, 19, 5684, 7, 204, 264, 1179, 204, 264, 456, 13, 5982, 14, 204, 264, 3062, 19, 2045, 68, 935, 23, 492, 499, 5063, 752, 23, 492, 431, 204, 264, 456, 13, 5982, 14, 204, 0, 647, 4541, 204, 204, 461, 353, 68, 1018, 68, 5207, 68, 10145, 13, 768, 68, 1031, 31, 394, 14, 393, 1109, 31, 204, 264, 320, 204, 264, 4191, 397, 273, 800, 537, 782, 353, 273, 1097, 4634, 5575, 311, 4847, 677, 15618, 5035, 19, 204, 204, 264, 457, 31, 204, 268, 537, 68, 1031, 322, 325, 330, 334, 537, 782, 311, 1356, 19, 204, 204, 264, 475, 31, 204, 268, 1109, 31, 959, 397, 275, 537, 782, 353, 273, 1097, 4634, 17, 1078, 2130, 19, 204, 264, 320, 204, 264, 314, 778, 397, 275, 537, 782, 353, 273, 1097, 4634, 329, 508, 273, 4541, 204, 264, 314, 334, 353, 10145, 374, 1216, 2584, 959, 397, 275, 782, 353, 273, 1097, 4634, 17, 716, 264, 314, 329, 275, 353, 11415, 374, 741, 5377, 397, 275, 782, 353, 273, 4847, 4541, 204, 264, 407, 537, 68, 1031, 19, 360, 10145, 374, 329, 508, 4541, 19, 360, 11415, 13, 768, 68, 1031, 14, 204, 204, 461, 636, 68, 816, 68, 768, 374, 393, 394, 31, 204, 264, 320, 204, 264, 3596, 275, 537, 782, 497, 275, 575, 19, 204, 204, 264, 475, 31, 204, 268, 394, 31, 334, 537, 782, 1917, 560, 275, 575, 19, 204, 264, 320, 204, 264, 314, 13485, 275, 575, 311, 2064, 273, 782, 204, 264, 407, 537, 499, 2101, 273, 782, 311, 1356, 397, 490, 677, 273, 1097, 4847, 4634, 31, 2810, 204, 204, 461, 667, 374, 393, 443, 31, 204, 264, 320, 204, 264, 334, 667, 741, 496, 12609, 275, 2548, 677, 5156, 19, 204, 264, 320, 204, 264, 810, 31, 204, 268, 314, 763, 275, 537, 782, 497, 275, 575, 204, 268, 537, 68, 1031, 289, 636, 68, 816, 68, 768, 374, 204, 822, 268, 314, 778, 397, 275, 537, 782, 353, 273, 1097, 4634, 204, 268, 397, 353, 68, 1018, 68, 5207, 68, 10145, 13, 768, 68, 1031, 330, 204, 305, 456, 13, 75, 28535, 768, 68, 1031, 2867, 353, 273, 1097, 4847, 4634, 1280, 204, 268, 902, 31, 204, 305, 456, 13, 75, 28535, 768, 68, 1031, 2867, 353, 508, 273, 1097, 4847, 4634, 1280, 204, 264, 827, 1319, 448, 318, 31, 204, 268, 314, 1426, 1169, 2805, 496, 1741, 1336, 204, 268, 456, 13, 75, 7, 2021, 908, 3129, 31, 463, 74, 743, 204, 204, 403, 589, 417, 367, 564, 891, 660, 894, 204, 264, 667, 374, 204, 0, 19893, 541, 18856, 630, 275, 20339, 11685, 204, 18, 2153, 9923, 10072, 204, 18, 8879, 275, 4446, 34523, 204, 837, 9503, 657, 292, 32177, 13677, 874, 7168, 311, 49018, 496, 19259, 1880, 1741, 444, 5096, 311, 3074, 311, 275, 11685, 19, 3846, 770, 1250, 3480, 311, 10312, 338, 329, 2549, 490, 3472, 273, 13029, 36, 204, 2920, 1784, 872, 5506, 397, 273, 19259, 1874, 24652, 719, 1682, 311, 872, 292, 273, 2147, 36, 204, 1834, 690, 1673, 1324, 17, 7265, 11159, 273, 2752, 11263, 273, 19259, 1064, 13677, 273, 2147, 19, 2474, 867, 5298, 6186, 311, 273, 3221, 10312, 18, 15838, 10198, 4789, 1704, 2941, 292, 10195, 40402, 17, 10224, 17, 329, 5287, 21035, 8408, 16622, 2900, 1169, 11447, 19, 204, 18263, 358, 21152, 291, 17, 275, 3175, 17, 11879, 275, 22525, 28952, 70, 18515, 17604, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 541, 8540, 329, 2080, 83, 2964, 1742, 292, 275, 3175, 677, 9908, 302, 273, 2147, 3522, 11109, 719, 1704, 16256, 652, 10549, 2181, 10407, 1877, 19622, 10787, 10, 302, 1704, 15558, 19, 4161, 808, 18144, 17, 275, 1698, 2086, 566, 8942, 867, 311, 3692, 273, 1012, 2963, 19, 2474, 22904, 2964, 3326, 275, 2147, 23691, 17, 1101, 275, 2752, 11724, 437, 10995, 311, 1895, 13677, 1182, 16863, 329, 7399, 348, 11243, 19, 204, 7, 46, 12119, 6154, 1422, 677, 273, 6273, 302, 31479, 17, 273, 6273, 302, 1880, 292, 275, 19259, 5698, 16482, 1465, 3175, 3275, 10031, 5167, 5366, 21152, 291, 19, 204, 7, 837, 7266, 17, 5202, 273, 3175, 677, 16256, 652, 353, 273, 468, 704, 302, 15690, 19, 1547, 4504, 2545, 5096, 17, 5701, 275, 29945, 311, 1307, 1273, 872, 3480, 311, 1307, 19, 346, 1840, 329, 2147, 21611, 529, 3287, 3576, 302, 273, 7211, 302, 16572, 329, 6323, 2347, 3343, 204, 20359, 7863, 11155, 2964, 3060, 7001, 292, 275, 5481, 17, 754, 2545, 2147, 3275, 618, 8720, 872, 18827, 329, 2549, 14863, 311, 3490, 1702, 448, 27884, 19, 12338, 302, 808, 17, 10031, 618, 1139, 17234, 273, 3060, 14840, 958, 4751, 19259, 1880, 17, 5366, 21152, 291, 19, 388, 2310, 874, 2080, 11234, 496, 1120, 2842, 1307, 685, 329, 4930, 292, 275, 12584, 1250, 1376, 311, 10312, 329, 3638, 275, 7130, 523, 17, 2842, 311, 444, 8944, 275, 11685, 3343, 204, 673, 3175, 3275, 2147, 5018, 273, 5660, 302, 20594, 17, 16127, 17, 24685, 329, 571, 41, 1964, 424, 496, 867, 5508, 311, 874, 1742, 10831, 560, 7265, 677, 904, 10031, 17, 275, 6399, 6738, 7157, 18, 28340, 10342, 451, 15725, 9845, 19, 204, 50, 3901, 291, 17, 3382, 17, 22814, 19259, 1880, 1120, 444, 13677, 292, 1704, 19607, 329, 17, 1877, 23613, 4569, 11834, 35586, 292, 275, 7265, 2147, 17, 5366, 566, 10497, 444, 24643, 5256, 311, 732, 1051, 3303, 397, 490, 2080, 16482, 15007, 19, 204, 12695, 88, 529, 3171, 1182, 297, 1831, 787, 19, 204, 7, 46, 1784, 444, 29194, 397, 292, 275, 1682, 5544, 2181, 1605, 4009, 1120, 5288, 6223, 329, 572, 10497, 444, 37284, 4675, 311, 10312, 5167, 5366, 552, 1623, 27211, 28275, 17, 273, 29280, 20323, 630, 275, 18626, 5946, 10249, 302, 17604, 541, 11988, 17, 329, 1415, 353, 10566, 19259, 19, 204, 673, 6309, 1741, 444, 16907, 292, 1051, 2945, 17, 1101, 1422, 529, 904, 25397, 311, 275, 23102, 302, 19259, 1880, 13677, 338, 27669, 3938, 22417, 329, 904, 7114, 3612, 19, 204, 14002, 869, 1742, 2707, 292, 33645, 299, 275, 3584, 302, 40669, 17, 10224, 329, 17126, 17, 830, 302, 928, 874, 3303, 7568, 9989, 311, 2512, 275, 2907, 302, 32177, 10031, 523, 1017, 16966, 19, 1547, 5409, 2964, 1696, 496, 1880, 440, 15558, 2210, 1120, 15551, 444, 19923, 273, 16256, 652, 17, 7239, 19, 204, 45, 90, 28275, 353, 15502, 1465, 15566, 329, 38363, 19, 204, 7, 3719, 8965, 353, 8033, 292, 437, 17029, 17, 273, 3651, 2545, 2549, 1523, 292, 6509, 302, 275, 2147, 17, 521, 273, 1137, 2549, 5573, 2258, 273, 317, 19815, 17, 329, 275, 6309, 9047, 1784, 508, 2106, 872, 497, 2545, 292, 273, 11478, 5167, 566, 5366, 19, 204, 3837, 1417, 23830, 8546, 365, 272, 13761, 302, 1880, 1415, 618, 2964, 3020, 17, 18282, 292, 273, 9823, 2871, 1647, 81, 467, 1750, 311, 275, 3718, 496, 273, 16017, 1741, 444, 20270, 1873, 523, 1475, 17, 521, 41567, 2075, 496, 754, 76, 1997, 5316, 299, 556, 42241, 18, 823, 7455, 33488, 1741, 874, 1742, 19, 204, 14002, 677, 32177, 10031, 874, 2861, 35341, 6562, 17, 1207, 6172, 329, 8077, 1236, 25250, 19, 1058, 353, 3252, 311, 444, 28135, 1194, 275, 2480, 3175, 19, 204, 837, 76, 6022, 16132, 1570, 17, 437, 22585, 630, 275, 9718, 5499, 1154, 1627, 630, 275, 4639, 302, 19804, 17, 353, 1085, 302, 437, 11315, 3384, 4636, 523, 273, 2147, 496, 1120, 444, 5096, 311, 3074, 275, 16893, 2258, 275, 3175, 440, 7380, 30305, 19, 204, 7, 31676, 1051, 2344, 523, 275, 502, 1511, 872, 7188, 9221, 311, 1307, 497, 332, 311, 565, 19, 332, 3702, 1120, 3891, 523, 1214, 15287, 329, 4627, 17, 379, 46, 2379, 6488, 1273, 382, 3315, 17, 572, 9314, 18202, 808, 16044, 302, 7114, 13401, 302, 2666, 19, 828, 872, 2090, 17, 382, 618, 3074, 1048, 348, 275, 1682, 5106, 82, 10655, 7, 204, 673, 44643, 14986, 6733, 302, 273, 8106, 18, 26369, 756, 5654, 292, 928, 872, 618, 4930, 1818, 329, 1151, 1335, 1782, 2172, 273, 279, 748, 90, 5783, 6484, 523, 275, 2501, 311, 1225, 353, 29879, 275, 26317, 17, 1101, 11155, 2964, 7301, 3671, 311, 6186, 523, 11544, 19, 204, 40, 1840, 496, 618, 770, 5406, 3263, 17, 1702, 448, 3326, 273, 2147, 292, 10935, 781, 1544, 17, 3550, 872, 6204, 19168, 43518, 521, 6545, 18, 5138, 17, 529, 2861, 523, 275, 7114, 521, 1465, 311, 3891, 311, 6223, 39301, 302, 9836, 17, 6720, 331, 3435, 17, 565, 34145, 329, 5261, 19, 204, 11805, 1570, 22814, 1704, 2147, 2549, 17736, 8280, 5288, 275, 2248, 10183, 292, 931, 521, 2153, 2181, 17, 1101, 496, 273, 8106, 19259, 1874, 3848, 23617, 2964, 444, 5096, 311, 10312, 490, 19, 2474, 22814, 23663, 32177, 10031, 2090, 1704, 1120, 1340, 311, 1895, 490, 2237, 348, 1429, 28384, 1320, 311, 444, 26239, 448, 25397, 311, 13677, 19, 204, 7, 673, 7936, 382, 12119, 48025, 299, 353, 496, 4954, 30101, 292, 1214, 1242, 302, 11676, 2549, 13023, 275, 19168, 43518, 348, 1880, 1415, 1020, 8546, 13677, 5362, 5167, 566, 5366, 19, 388, 5009, 1425, 636, 37725, 7151, 292, 10031, 1605, 3054, 754, 275, 3885, 551, 522, 24016, 329, 7103, 66, 1120, 1012, 311, 636, 22260, 3343, 204, 49, 5032, 302, 1880, 1120, 1519, 43154, 496, 8965, 440, 1236, 15558, 1856, 444, 4675, 311, 18943, 273, 7114, 5654, 23691, 19, 21152, 291, 28352, 273, 37492, 1994, 738, 302, 32177, 2048, 1120, 1639, 275, 30268, 348, 19259, 18856, 311, 3472, 21501, 19, 204, 7, 3728, 1120, 11616, 353, 1250, 1120, 508, 636, 21107, 440, 19259, 1880, 13677, 17, 1250, 1120, 636, 21107, 440, 275, 16737, 302, 370, 18, 35197, 10031, 496, 15558, 336, 1880, 1120, 444, 974, 3343, 204, 6031, 1728, 685, 496, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 17, 2219, 397, 490, 1583, 1336, 17, 10031, 3848, 6612, 2964, 444, 275, 2073, 311, 830, 1704, 2501, 18, 42137, 11658, 19, 204, 7, 2841, 1120, 3848, 444, 273, 11447, 5202, 685, 302, 275, 2147, 329, 6154, 1214, 2501, 311, 273, 6509, 11304, 302, 1273, 872, 7188, 32072, 17, 5602, 490, 869, 13979, 336, 5398, 5167, 566, 5366, 19, 0, 18, 7275, 31976, 5933, 19, 204, 40961, 311, 273, 1818, 24075, 20739, 23910, 2482, 5256, 17, 329, 872, 884, 953, 11959, 13290, 1465, 275, 1848, 302, 1017, 15926, 469, 349, 6464, 329, 1662, 3153, 302, 275, 970, 14532, 18, 70, 18, 2663, 9160, 28665, 12207, 25600, 26134, 292, 7448, 19, 3665, 884, 73, 4030, 25842, 2834, 14455, 3550, 375, 25811, 11018, 447, 15738, 469, 349, 6464, 17, 1101, 16945, 874, 6680, 469, 29274, 1848, 17441, 348, 630, 3406, 273, 6129, 19, 4253, 15926, 25498, 874, 1742, 30507, 299, 311, 808, 9767, 348, 1465, 448, 2482, 19, 204, 990, 673, 8475, 20117, 9693, 15738, 469, 349, 6464, 292, 4362, 75, 7166, 884, 12207, 7870, 275, 1324, 17, 329, 275, 12207, 440, 26134, 15738, 469, 349, 6464, 17, 754, 12283, 1193, 523, 275, 6223, 1882, 275, 11660, 5869, 17, 529, 275, 726, 302, 3171, 27364, 17, 8578, 292, 7850, 4412, 10869, 6834, 19, 480, 1841, 94, 17265, 1652, 292, 273, 43497, 4960, 292, 275, 11059, 302, 39435, 32380, 19, 204, 15180, 19, 17265, 1652, 20320, 311, 7260, 275, 7684, 24465, 2670, 1005, 8944, 469, 29274, 1848, 17, 329, 1193, 273, 850, 302, 2147, 363, 13355, 1915, 3250, 610, 23796, 39018, 953, 88, 19, 392, 21042, 1607, 2181, 5287, 17, 17265, 1652, 884, 88, 11144, 353, 3848, 12459, 12308, 19, 204, 11424, 363, 13355, 1915, 529, 37392, 13473, 7758, 14790, 560, 6415, 17, 329, 529, 1698, 2755, 311, 7160, 9271, 8114, 19, 3433, 2255, 275, 5343, 6808, 302, 13916, 332, 17, 329, 1910, 874, 1742, 6680, 311, 874, 39872, 16737, 19, 204, 10757, 276, 2547, 17, 26134, 15926, 469, 349, 6464, 1466, 3667, 4768, 448, 273, 1574, 302, 10443, 83, 580, 5311, 566, 853, 17, 2404, 1901, 6651, 302, 20739, 3117, 918, 2147, 363, 13355, 1915, 19, 3846, 808, 353, 508, 4501, 275, 1322, 19, 592, 1910, 10261, 5899, 17, 5624, 17985, 353, 8978, 273, 1085, 302, 20739, 4182, 19, 13153, 17985, 322, 276, 425, 504, 14, 353, 3264, 292, 2147, 363, 13355, 1915, 17, 329, 566, 853, 496, 7904, 490, 618, 6626, 12207, 440, 469, 349, 6464, 754, 26134, 1250, 884, 272, 7510, 2258, 18, 10049, 17, 15250, 275, 35685, 2545, 2590, 18, 83, 580, 5311, 329, 7831, 19, 204, 3609, 275, 1729, 1948, 17, 11031, 447, 15738, 469, 349, 6464, 529, 508, 11577, 3483, 15366, 19, 30178, 7549, 348, 4109, 469, 29274, 5427, 18862, 560, 3618, 19, 7089, 16945, 10180, 42915, 18043, 469, 349, 6464, 17, 1335, 15926, 7904, 375, 292, 275, 548, 19, 48, 19, 10180, 5805, 273, 4577, 12997, 270, 19, 592, 18461, 17, 12207, 529, 6860, 5575, 311, 275, 1848, 302, 1017, 469, 349, 6464, 17, 440, 10302, 88, 2545, 13018, 311, 448, 357, 464, 342, 355, 953, 884, 90, 37915, 17, 329, 275, 18043, 469, 349, 27632, 12207, 3250, 622, 333, 84, 303, 884, 90, 37915, 19, 204, 673, 412, 9835, 469, 29274, 1848, 16462, 39908, 275, 7081, 1848, 32919, 497, 275, 15875, 1640, 19, 1547, 3192, 2153, 46921, 4558, 275, 10302, 18, 633, 18, 21968, 11651, 17, 329, 353, 275, 7561, 2599, 348, 35073, 329, 13377, 469, 29274, 1848, 19, 47535, 25498, 732, 275, 469, 29274, 1848, 16462, 311, 2962, 292, 523, 329, 6618, 275, 6736, 469, 29274, 1848, 19, 8624, 610, 23796, 39018, 953, 88, 529, 41418, 1376, 311, 5836, 14172, 438, 469, 29274, 1848, 17, 2864, 5080, 352, 929, 8417, 17, 10302, 425, 504, 17, 520, 29949, 1150, 17, 18043, 1464, 961, 17, 30358, 17, 42559, 17, 329, 6168, 269, 633, 11637, 19, 40208, 9856, 17453, 1320, 618, 444, 1182, 10652, 1194, 16428, 10819, 17453, 1320, 17, 1101, 8475, 17441, 348, 4193, 11231, 292, 25683, 874, 12527, 275, 7561, 14814, 523, 4193, 6651, 17, 521, 11576, 15943, 47333, 19, 204, 673, 20131, 302, 469, 29274, 1848, 11155, 884, 89, 2842, 5805, 32149, 560, 3403, 18, 3782, 25498, 19, 13128, 17, 630, 273, 14724, 6223, 292, 22525, 6487, 17, 382, 26791, 23910, 42860, 18867, 1841, 26288, 273, 3868, 302, 12207, 1025, 273, 6893, 6082, 19, 334, 469, 349, 6464, 1466, 273, 39127, 24769, 302, 37200, 18, 747, 19, 204, 990, 46, 2106, 830, 275, 3299, 4720, 556, 371, 496, 5409, 884, 89, 1879, 2077, 16622, 7341, 4412, 18867, 1841, 14450, 19, 1622, 5588, 556, 371, 292, 275, 1242, 496, 884, 88, 19593, 7133, 572, 4182, 490, 311, 2077, 35685, 19, 3433, 7904, 275, 11637, 1043, 17, 1675, 5680, 560, 5680, 1250, 636, 311, 275, 30673, 19, 334, 4884, 36921, 551, 70, 610, 23796, 39018, 953, 1193, 292, 556, 371, 66, 353, 3250, 27633, 1474, 23796, 266, 19, 1785, 2428, 1475, 4720, 556, 371, 12207, 3582, 204, 46, 9453, 7400, 2941, 17, 758, 25957, 273, 4542, 12207, 348, 5287, 7448, 17, 329, 7988, 18168, 2745, 566, 853, 273, 23952, 302, 556, 371, 24280, 329, 6830, 37488, 19, 3242, 872, 618, 3020, 292, 275, 5933, 17, 8551, 440, 1051, 302, 275, 2518, 12207, 17, 490, 10365, 19, 204, 20663, 302, 1662, 7249, 490, 353, 311, 23912, 15926, 469, 29274, 1848, 17, 273, 5411, 392, 12374, 5765, 21742, 496, 9443, 1067, 12207, 560, 1017, 469, 349, 6464, 884, 1848, 1622, 28816, 884, 89, 6721, 872, 10080, 1001, 1465, 1017, 22779, 1666, 19, 3846, 490, 884, 88, 508, 9395, 754, 3277, 19, 8624, 302, 275, 610, 23796, 39018, 953, 88, 4327, 311, 15774, 469, 29274, 1848, 529, 6327, 3094, 348, 872, 17, 1702, 448, 12774, 18, 9063, 7425, 23796, 266, 17, 928, 353, 1855, 273, 46298, 311, 13916, 332, 329, 437, 39872, 17, 329, 13909, 437, 3287, 4263, 292, 12790, 2667, 17, 4751, 904, 8753, 19, 480, 925, 266, 17, 3161, 469, 29274, 18, 20097, 6533, 610, 23796, 39018, 953, 17, 869, 39872, 23007, 448, 2590, 17, 329, 490, 10160, 9289, 292, 275, 36682, 17, 1273, 490, 884, 88, 6183, 311, 6156, 4238, 2523, 18, 5969, 15558, 48944, 19, 204, 20354, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 12207, 302, 2519, 18, 22466, 469, 349, 6464, 841, 2344, 1120, 5190, 273, 5680, 2202, 1194, 1214, 6450, 10290, 17459, 302, 5074, 7203, 8039, 302, 12774, 18, 9063, 7425, 23796, 266, 17, 329, 572, 618, 5257, 496, 397, 275, 566, 853, 496, 20485, 3153, 12207, 1466, 46736, 3101, 302, 12774, 18, 9063, 7425, 23796, 266, 17, 496, 17459, 1784, 5508, 3437, 19, 204, 4259, 2518, 872, 636, 4440, 27098, 1465, 275, 23937, 15520, 302, 11031, 447, 15738, 469, 349, 6464, 17, 2506, 496, 970, 43438, 302, 1101, 4029, 312, 47740, 841, 2699, 1120, 5190, 872, 1182, 1194, 1214, 9433, 17459, 302, 12774, 18, 9063, 7425, 23796, 266, 19, 4596, 2308, 17, 11392, 14859, 874, 1465, 1168, 2314, 2666, 1182, 12774, 18, 9063, 7425, 23796, 266, 1194, 275, 2480, 18, 94, 349, 27632, 15926, 19, 5028, 11421, 302, 724, 1887, 17, 1869, 15589, 17, 869, 18763, 2666, 275, 317, 925, 266, 302, 970, 12207, 19, 204, 14884, 11031, 447, 37392, 336, 469, 349, 6464, 529, 508, 31803, 311, 444, 11864, 28521, 17, 397, 872, 2379, 10080, 630, 830, 1465, 1273, 275, 12207, 292, 2717, 6900, 497, 17, 275, 1848, 302, 275, 469, 29274, 618, 292, 3718, 444, 273, 29716, 1025, 1163, 22779, 1666, 19, 552, 624, 496, 47820, 523, 11031, 42502, 1784, 45117, 7904, 273, 6273, 302, 26633, 329, 5970, 6415, 19, 1058, 8114, 1784, 444, 3101, 302, 2147, 363, 13355, 1915, 17, 2864, 610, 23796, 39018, 953, 88, 17, 329, 26633, 329, 6415, 1895, 348, 273, 7831, 8114, 17, 329, 566, 853, 496, 529, 7831, 329, 874, 2080, 1017, 5233, 302, 23949, 1120, 444, 292, 273, 1502, 311, 406, 2020, 275, 47194, 16415, 292, 1017, 12207, 17, 1335, 566, 853, 496, 529, 22779, 18, 285, 2340, 1462, 1120, 508, 19, 4087, 17, 11018, 469, 349, 6464, 7051, 2549, 444, 273, 1574, 302, 28521, 12207, 17, 6469, 397, 275, 23910, 11155, 884, 89, 45638, 37392, 299, 1475, 19, 204, 44384, 17, 397, 273, 6099, 271, 302, 12207, 308, 8655, 448, 1622, 8382, 18, 2307, 1001, 3192, 26134, 469, 349, 6464, 17, 496, 2549, 1869, 496, 275, 12207, 1466, 7758, 292, 273, 2501, 496, 38630, 12478, 275, 2311, 14741, 311, 39558, 275, 4476, 18, 2307, 1800, 19, 7054, 353, 17, 275, 35685, 1466, 800, 3073, 311, 273, 1722, 438, 17199, 18, 25163, 6528, 302, 30702, 1682, 311, 1017, 16686, 46859, 5323, 273, 4184, 1268, 6285, 302, 7625, 497, 928, 830, 7497, 17, 43223, 7186, 874, 2482, 3522, 1742, 7801, 24915, 19, 592, 808, 1322, 17, 469, 29274, 1848, 618, 444, 1376, 311, 1340, 3822, 397, 273, 8845, 302, 4476, 18, 2307, 12207, 353, 9631, 275, 4372, 5132, 19, 204, 4259, 397, 872, 8402, 2941, 24926, 12207, 497, 275, 2234, 13242, 17, 1698, 311, 12146, 469, 349, 6464, 2467, 4498, 2090, 275, 6747, 497, 1214, 6082, 17, 872, 884, 953, 2379, 3153, 469, 349, 6464, 529, 275, 6414, 302, 273, 23852, 336, 18, 271, 7842, 19, 204, 38, 391, 4024, 59, 17328, 13364, 275, 47259, 911, 307, 323, 756, 23469, 292, 275, 18815, 1837, 19, 332, 2585, 302, 808, 5765, 16001, 292, 21909, 21242, 1652, 292, 11157, 10072, 19, 0, 10215, 292, 9402, 10651, 17, 1910, 302, 451, 6183, 275, 5800, 302, 13999, 18, 1794, 1784, 444, 48184, 560, 275, 1012, 302, 275, 10651, 18, 11215, 3859, 1324, 19, 3846, 448, 275, 10865, 7336, 311, 273, 3671, 17, 8229, 329, 22730, 529, 3848, 4636, 311, 4368, 685, 1662, 311, 33329, 2459, 292, 273, 7399, 1964, 17, 2864, 39255, 13999, 18, 1794, 7543, 27754, 19, 204, 19243, 275, 1012, 302, 275, 5573, 414, 293, 13347, 17, 10726, 1882, 275, 10865, 17720, 496, 2804, 1466, 508, 12454, 497, 275, 10575, 329, 496, 1250, 1466, 16583, 302, 26107, 490, 19, 1765, 1014, 17, 10835, 2804, 17, 25273, 17, 329, 8740, 13320, 2140, 1877, 30125, 273, 7004, 292, 22480, 17, 329, 5074, 1880, 13320, 2140, 1877, 30125, 273, 11575, 7004, 292, 14445, 3217, 24360, 447, 2753, 329, 2019, 2847, 302, 38412, 17, 8866, 19, 334, 4614, 1425, 47340, 1924, 273, 5955, 3859, 292, 33216, 329, 273, 2344, 11331, 292, 12448, 19, 10006, 42123, 17, 10865, 7004, 329, 11975, 15447, 529, 1792, 17, 1101, 1910, 24445, 8732, 1605, 1622, 10675, 18, 88, 603, 2713, 1001, 3780, 11278, 275, 9665, 1429, 6793, 21352, 1025, 2075, 11080, 1330, 12488, 1451, 4440, 9295, 19, 204, 7020, 273, 10290, 6699, 5301, 302, 1759, 1283, 848, 2384, 17, 275, 3671, 23673, 302, 8229, 17, 28814, 17, 329, 904, 12750, 12488, 1895, 13999, 18, 1794, 437, 7510, 794, 2880, 18746, 9071, 19, 2416, 14792, 275, 4190, 302, 26107, 13999, 18, 1794, 17, 1910, 8229, 874, 5163, 336, 348, 6657, 3100, 17, 1425, 3556, 448, 1759, 3100, 19, 204, 4259, 17, 496, 884, 88, 508, 275, 1322, 348, 2589, 3859, 9284, 17, 448, 958, 11239, 311, 275, 23929, 529, 3848, 15131, 14417, 523, 273, 1259, 18, 1424, 18, 1512, 7032, 17, 3667, 440, 848, 9284, 10239, 5008, 1163, 3346, 958, 19, 5424, 275, 8622, 302, 292, 18, 676, 4697, 5798, 292, 6832, 17, 1910, 24445, 329, 31136, 529, 3061, 4498, 719, 348, 275, 10651, 18, 11215, 3859, 1324, 17, 11925, 299, 685, 1662, 1250, 884, 953, 4897, 830, 302, 1017, 2459, 529, 2631, 13999, 18, 1794, 26875, 17, 1662, 1250, 884, 953, 12965, 311, 2140, 2910, 17, 329, 7978, 311, 3161, 21453, 397, 1519, 444, 19, 204, 11594, 4542, 12488, 529, 43901, 22771, 1017, 10651, 18, 11215, 3859, 1324, 11239, 17, 6646, 31188, 618, 3220, 273, 37600, 302, 4764, 311, 1340, 7087, 1017, 2599, 26875, 348, 13999, 18, 1794, 19, 2416, 13887, 292, 275, 3793, 1352, 17, 15739, 13704, 17, 9178, 56, 2619, 17, 2241, 515, 9871, 15782, 437, 1918, 640, 545, 458, 302, 4764, 496, 529, 10178, 4476, 311, 35185, 17, 2013, 17, 329, 732, 19, 204, 17550, 490, 867, 4199, 275, 33677, 23929, 11724, 1236, 9649, 302, 16663, 17, 22730, 329, 8229, 6646, 31188, 6911, 15858, 8442, 1662, 17, 6488, 17, 1250, 1466, 6186, 311, 304, 3664, 8820, 292, 275, 5573, 19, 8879, 19552, 13999, 1781, 6971, 329, 14817, 7506, 440, 904, 11975, 12488, 311, 16780, 7110, 7355, 348, 15322, 329, 13838, 1093, 18, 77, 912, 7265, 27189, 17, 7355, 18081, 1466, 12637, 1236, 10581, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 15241, 343, 336, 17, 521, 12063, 17, 1236, 2139, 794, 36197, 19, 204, 4259, 490, 884, 88, 508, 13765, 273, 8608, 302, 1483, 32, 490, 884, 88, 275, 1983, 43334, 516, 302, 13492, 719, 440, 830, 302, 490, 1335, 1425, 12111, 1924, 275, 1901, 6793, 1483, 19, 204, 990, 673, 26069, 302, 1483, 3714, 353, 273, 9056, 4412, 5366, 19963, 302, 35404, 14628, 630, 275, 4639, 302, 48057, 17, 34864, 2135, 403, 864, 19, 1622, 673, 1666, 353, 508, 7051, 273, 1844, 32, 490, 353, 1182, 275, 23447, 440, 928, 9231, 529, 5096, 311, 3550, 719, 3582, 204, 18365, 1910, 7355, 18081, 17, 2135, 403, 864, 7117, 311, 275, 2150, 311, 1020, 2986, 302, 13492, 2459, 329, 8740, 7399, 1924, 275, 304, 30207, 19, 5860, 302, 275, 2765, 4764, 2255, 275, 31, 204, 18, 9755, 12496, 302, 35404, 4560, 13822, 204, 18, 9755, 12496, 302, 16140, 354, 7422, 3431, 16808, 9657, 2596, 2471, 204, 18, 4719, 12360, 348, 31458, 15874, 204, 18, 9755, 12496, 302, 25716, 88, 302, 35241, 24572, 204, 18, 4719, 13631, 523, 10959, 204, 18, 9178, 56, 2619, 9469, 18, 633, 18, 7975, 45597, 2668, 19, 204, 837, 24712, 440, 1704, 3346, 3793, 17, 2135, 403, 864, 1425, 43374, 7506, 440, 904, 22730, 17, 974, 275, 2550, 7268, 2315, 11998, 24681, 1291, 13999, 18, 1794, 22880, 2656, 18637, 8540, 311, 6635, 2765, 11845, 19, 204, 1449, 636, 273, 14392, 2909, 630, 2075, 884, 88, 6999, 523, 275, 9469, 18, 633, 18, 7975, 45597, 2668, 17, 9178, 56, 2619, 6167, 2077, 958, 7922, 4764, 1025, 3420, 5981, 31, 204, 18, 44821, 9134, 204, 18, 21151, 14628, 14354, 19458, 204, 18, 1594, 41088, 329, 13999, 18, 1794, 10457, 358, 27825, 204, 18, 36610, 18054, 88, 17, 313, 27382, 17, 329, 3844, 3710, 204, 53, 43334, 1165, 31, 16156, 884, 88, 30829, 18646, 12597, 1424, 12496, 204, 673, 16156, 884, 88, 30829, 18646, 12597, 1424, 12496, 884, 88, 322, 60, 6384, 5369, 14, 13999, 18, 1794, 5082, 17259, 311, 1622, 28824, 447, 407, 311, 37646, 3356, 1424, 4801, 292, 273, 29738, 336, 1883, 496, 5178, 1025, 1747, 275, 5800, 302, 275, 10575, 329, 275, 14334, 302, 7155, 15278, 311, 19041, 275, 10575, 3582, 332, 3859, 521, 12347, 353, 28293, 508, 275, 1729, 448, 273, 16813, 299, 1643, 19, 3355, 17, 595, 6384, 5369, 27619, 437, 15548, 3188, 302, 7058, 329, 575, 18, 10871, 37278, 440, 275, 5328, 329, 3440, 302, 1163, 17259, 19, 1547, 2048, 10810, 19609, 375, 329, 12356, 8913, 2075, 24223, 275, 1682, 29738, 521, 304, 2256, 311, 275, 3090, 29738, 19, 204, 39175, 14628, 14354, 19458, 204, 17345, 12360, 348, 31458, 15874, 322, 38, 22775, 14, 204, 3719, 872, 884, 272, 7595, 348, 273, 9064, 2052, 311, 29909, 1214, 6160, 26069, 3478, 17, 6321, 275, 4719, 12360, 348, 31458, 15874, 884, 88, 19496, 6046, 13609, 36247, 19, 29118, 17, 808, 8029, 353, 16863, 311, 1950, 18, 9622, 302, 275, 332, 22775, 17, 754, 444, 6430, 311, 5790, 560, 1335, 490, 884, 88, 32495, 2755, 19, 1547, 11857, 275, 5544, 6793, 11956, 5376, 3214, 1945, 311, 1308, 273, 6556, 15363, 348, 5343, 273, 26069, 3478, 31, 204, 18, 13433, 11937, 3423, 204, 18, 3055, 21151, 42858, 1320, 204, 18, 40875, 19496, 33274, 11865, 204, 18, 31758, 523, 8201, 46095, 46957, 204, 18, 42428, 360, 14628, 329, 4899, 11582, 11699, 204, 43421, 853, 40260, 8540, 348, 7065, 15874, 204, 39175, 26758, 618, 9535, 11975, 12488, 292, 26803, 275, 11872, 302, 25125, 12929, 1330, 1250, 304, 3664, 448, 2590, 448, 275, 3836, 3566, 2667, 15298, 397, 12929, 3459, 19, 1058, 3966, 618, 1340, 7260, 11845, 496, 1741, 722, 292, 26129, 4190, 329, 23106, 496, 1741, 5695, 4190, 1924, 15445, 329, 40189, 7935, 19, 204, 17111, 375, 348, 17561, 11920, 322, 43305, 14, 204, 673, 27371, 3629, 273, 2745, 47876, 302, 1483, 348, 11975, 31287, 497, 5052, 4764, 329, 12989, 311, 34248, 45092, 329, 7110, 3986, 21206, 19, 12412, 6973, 6018, 19311, 348, 14906, 311, 1340, 6156, 2459, 329, 8740, 329, 7353, 275, 6813, 302, 13999, 18, 1794, 19, 204, 989, 41088, 2343, 13999, 18, 1794, 10457, 358, 27825, 204, 837, 1552, 348, 11975, 12488, 311, 1340, 3550, 1017, 2459, 329, 8740, 7399, 17, 1250, 1519, 10205, 17, 40798, 17, 13129, 18, 2201, 1483, 523, 1662, 1910, 14714, 2910, 302, 13999, 18, 1794, 1422, 529, 292, 275, 4549, 14044, 1017, 7004, 5792, 329, 8229, 19, 13472, 302, 25832, 35972, 299, 15287, 88, 17, 7355, 13935, 329, 31287, 618, 2106, 7777, 329, 5495, 13999, 18, 481, 830, 292, 1051, 2481, 31, 32768, 2204, 1204, 19, 748, 19, 204, 25741, 33433, 13631, 204, 16231, 560, 273, 6043, 4610, 7355, 45172, 329, 1704, 3384, 17, 808, 2556, 618, 444, 1376, 348, 8229, 329, 22730, 496, 529, 1428, 3987, 1025, 304, 30207, 19, 334, 13631, 884, 88, 455, 311, 16676, 21151, 3746, 353, 273, 2318, 18, 834, 1622, 17479, 1001, 33618, 424, 497, 6901, 40260, 13999, 18, 1794, 424, 17, 275, 8540, 348, 17561, 11920, 17, 275, 5179, 7065, 16473, 17, 329, 904, 6651, 19, 204, 673, 15874, 33433, 13631, 1425, 6193, 273, 15964, 458, 302, 2153, 896, 24998, 7935, 348, 13999, 18, 1794, 4190, 18856, 329, 9039, 7355, 958, 7935, 348, 13999, 18, 1794, 7355, 958, 19, 204, 29769, 18054, 88, 17, 313, 27382, 17, 521, 3844, 3710, 204, 10936, 39028, 3185, 58, 7001, 273, 13999, 18, 1794, 11666, 8029, 329, 370, 18, 37973, 348, 5092, 5798, 19, 1547, 884, 88, 7784, 311, 444, 273, 12212, 11666, 5910, 311, 1340, 14906, 292, 970, 3942, 31, 204, 18, 334, 8029, 25803, 3420, 6837, 3888, 311, 3822, 397, 1214, 9463, 353, 9750, 311, 304, 3664, 348, 848, 4376, 13999, 18, 1794, 3844, 3710, 19, 204, 18, 334, 8029, 353, 16398, 1025, 16675, 17, 4393, 18, 14213, 17, 329, 14064, 1225, 6621, 311, 2886, 15964, 11666, 11160, 5229, 4109, 31558, 4119, 19, 204, 673, 8029, 329, 370, 18, 37973, 1425, 918, 5444, 311, 17259, 17, 4764, 17, 329, 5632, 9337, 311, 11965, 31558, 11666, 5395, 19, 204, 37683, 46167, 14628, 12496, 204, 2841, 11155, 884, 89, 273, 4362, 18745, 419, 13267, 884, 3979, 311, 6886, 13999, 18, 1794, 19, 3355, 17, 808, 8029, 560, 275, 9755, 46167, 14628, 12496, 0 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]