Datasets:
SmallDoge
/
decay_dataset

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
6
2.05k
attention_mask
listlengths
6
2.05k
[ 0, 18851, 16032, 942, 547, 4444, 543, 6133, 267, 682, 564, 13892, 476, 13199, 20701, 5814, 942, 454, 5814, 19523, 692, 3698, 3193, 318, 16118, 9638, 4631, 281, 1592, 264, 9847, 703, 912, 825, 8173, 825, 2433, 6943, 5777, 281, 5903, 27776, 2639, 825, 2433, 337, 6943, 281, 703, 454, 825, 29185, 825, 7443, 815, 476, 271, 454, 825, 1295, 318, 23748, 815, 19523, 27982, 21653, 454, 825, 585, 3902, 538, 5777, 912, 1038, 1295, 318, 23748, 815, 1295, 263, 23748, 267, 1295, 318, 23748, 994, 1038, 7443, 815, 3193, 263, 16118, 267, 3902, 910, 1295, 318, 23748, 2020, 825, 2132, 7443, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 1384, 825, 608, 815, 1496, 278, 267, 476, 272, 267, 476, 276, 267, 476, 274, 267, 476, 277, 267, 476, 275, 2639, 825, 1376, 815, 942, 28333, 4590, 825, 3193, 318, 16118, 263, 1410, 994, 825, 1820, 6600, 257, 305, 29025, 281, 2715, 5503, 28333, 3890, 910, 1376, 281, 271, 269, 280, 325, 348, 5602 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23192, 3370, 476, 4962, 270, 2537, 270, 1001, 274, 454, 4415, 811, 982, 476, 4649, 267, 1822, 2835, 538, 1820, 827, 519, 6406, 2782, 267, 835, 1522, 8263, 602, 972, 568, 1100, 1007, 1344, 547, 581, 29742, 539, 827, 519, 2680, 602, 9674, 2829, 267, 2950, 543, 3885, 269, 3719, 972, 568, 513, 1888, 602, 814, 4607, 1085, 656, 3007, 2443, 519, 2825, 1686, 540, 519, 6406, 2782, 269, 23178, 30227, 18234, 543, 12314, 7548, 7225, 7219, 645, 20621, 689, 519, 29630, 1014, 3557, 2160, 4972, 540, 3778, 723, 13988, 741, 4081, 4690, 593, 513, 1788, 602, 814, 4607, 513, 1269, 1911, 267, 1822, 10319, 1382, 31776, 689, 519, 1977, 7027, 540, 3231, 2740, 5081, 7724, 2529, 559, 591, 568, 606, 2825, 14787, 543, 519, 2278, 540, 968, 300, 870, 27508, 543, 519, 4563, 15142, 281, 1323, 7025, 3778, 540, 519, 11612, 4554, 3212, 6545, 538, 8109, 3013, 892, 630, 17206, 540, 3345, 10491, 4964, 264, 543, 968, 288, 1715, 8131, 593, 519, 13474, 2515, 281, 12075, 267, 16690, 1235, 543, 6215, 2314, 538, 3162, 9533, 5983, 7370, 267, 476, 5611, 271, 268, 5197, 271, 892, 630, 23173, 8822, 2160, 4964, 264, 19601, 268, 29016, 5065, 6424, 15966, 1638, 965, 781, 1985, 1433, 786, 1445, 593, 5481, 540, 19566, 23806, 454, 268, 3703, 14787, 2701, 10042, 2274, 1723, 16725, 568, 593, 4693, 585, 1219, 14212, 454, 268, 13343, 667, 12495, 561, 14613, 602, 4892, 1869, 5749, 1406, 1373, 6026, 10349, 1686, 454, 268, 16024, 1014, 22819, 3240, 918, 15120, 3405, 990, 7125, 593, 15525, 547, 533, 30972, 661, 1492, 331, 25347, 6199, 454, 268, 12275, 787, 654, 1571, 3081, 972, 779, 835, 1480, 1449, 649, 666, 946, 547, 6430, 945, 779, 519, 1732, 11134, 281, 11686, 610, 22735 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4495, 513, 1895, 540, 2828, 3957, 15039, 267, 7665, 267, 5981, 267, 543, 23183, 941, 4730, 3544, 950, 789, 8068, 741, 2146, 1185, 1831, 1360, 5258, 269, 4658, 14201, 1405, 3478, 2059, 267, 543, 1100, 835, 6785, 1946, 269, 1358, 4956, 547, 2307, 741, 5172, 4116, 267, 6004, 269, 29807, 976, 267, 585, 948, 1317, 646, 2141, 8604, 547, 1174, 875, 1004, 5249, 1927, 780, 16031, 269, 29807, 976, 6045, 602, 1169, 2486, 814, 2185, 1292, 2694, 281, 1599, 267, 2497, 267, 2528, 267, 543, 1184, 269, 9577, 4016, 547, 1142, 851, 3257, 922, 2816, 865, 602, 519, 2898, 1062, 8255, 12347, 269, 12856, 1797, 519, 1114, 2516, 610, 5107, 538, 2486, 267, 971, 607, 2229, 267, 1920, 267, 610, 28737, 269, 9177, 6227, 3838, 4978, 267, 2418, 267, 9821, 267, 543, 3652, 5935, 2623, 543, 7881, 269, 6713, 3322, 1585, 3527, 543, 4205, 2870, 5121, 7133, 1689, 543, 1646, 780, 299, 1176, 4280, 267, 834, 1692, 666, 649, 946, 891, 2093, 547, 3142, 938, 8378, 1394, 1927, 8119, 6004, 269, 29807, 976, 20493, 543, 14452, 267, 834, 15124, 2243, 256, 3689, 267, 1577, 781, 5659, 519, 3889, 1934, 676, 6158, 547, 3025, 543, 1620, 1018, 789, 798, 543, 991, 269, 3973, 267, 649, 1590, 1353, 2686, 7506, 593, 3347, 1851, 12543, 3010, 16655, 9289, 16965, 267, 834, 3719, 1256, 1310, 6616, 782, 602, 267, 4465, 1405, 930, 2042, 2611, 286, 1548, 1287, 12482, 257, 29012, 2437, 8815, 6004, 269, 29807, 976, 269, 834, 6546, 5012, 721, 547, 6313, 3157, 1107, 875, 7526, 8451, 543, 2081, 547, 28111, 1732, 269, 1717, 267, 1832, 538, 2247, 602, 3006, 5103, 1655, 3646, 267, 22195, 949, 561, 5424, 269, 1809, 3314, 267, 1565, 547, 6330, 7965, 11414, 3407, 4245, 1932, 10590, 1656, 609, 602, 6397, 2943, 8797, 13414, 267, 519, 2828, 24389, 593, 741, 5692, 547, 12115, 741, 11537, 2146, 11439, 609, 16012, 1702, 543, 4126, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 30522, 353, 29072, 27747, 499, 418, 352, 362, 26233, 507, 7511, 20693, 509, 420, 25693, 4970, 375, 419, 378, 358, 419, 494, 484, 420, 360, 500, 14035, 500, 8147, 420, 360, 489, 420, 358, 367, 27381, 364, 420, 359, 359, 13107, 492, 10524, 500, 21928, 419, 353, 378, 10951, 481, 421, 360, 498, 419, 367, 375, 25913, 30837, 351, 20069, 417, 497, 359, 11590, 505, 418, 28187, 417, 379, 369, 23284, 9463, 488, 10524, 500, 417, 28187, 12916, 499, 16533, 485, 20881, 503, 11590, 505, 418, 28187, 417, 379, 369, 418, 485, 487, 17958, 13161, 376, 25335, 352, 418, 365, 374, 419, 353, 378, 10951, 481, 417, 499, 493, 421, 350, 490, 5405, 509, 454, 27747, 499, 418, 352, 362, 26233, 507, 7511, 419, 353, 378, 10951, 481, 421, 360, 498, 419, 367, 375, 419, 494, 484, 420, 360, 500, 4970, 375, 28884, 25060, 483, 418, 489, 361, 18713, 505, 22390, 489, 418, 28187, 417, 379, 369, 16088, 20693, 509, 420, 25693, 18998, 419, 369, 494, 418, 356, 489, 18998, 24757, 25060, 500, 25520, 421, 479, 492, 31801, 489, 12486, 692, 272, 269, 13127, 488, 509, 420, 25693, 16088, 27747, 499, 418, 352, 362, 26233, 507, 420, 359, 491, 27384, 374, 419, 353, 378, 10951, 481, 15159, 13601, 22390, 489, 419, 367, 375, 419, 369, 365, 8147, 10429, 370, 18809, 12571, 482, 22390, 489, 421, 481, 357, 26166, 421, 25693, 20069, 420, 485, 359, 26266, 365, 7511, 20693, 509, 420, 25693, 8147, 20881, 503, 11590, 505, 20693, 509, 420, 25693, 25051, 376, 27882, 353, 25203, 372, 11590, 496, 28032, 507, 11858, 502, 8147, 10429, 365, 12571, 490, 419, 370, 511, 418, 490, 479, 10533, 368, 22390, 489, 419, 353, 378, 10951, 481, 419, 367, 375, 419, 369, 365, 7511, 419, 358, 358, 27936, 421, 479, 489, 27310, 12486, 28032, 489, 417, 28187, 8147, 418, 498, 379, 418, 366, 375, 10254, 370, 18021, 355, 7511, 20693, 509, 420, 25693, 15159, 27384, 374, 419, 353, 378, 10951, 481, 418, 493, 494, 28032, 505, 419, 358, 358, 27936, 7511, 419, 369, 365, 418, 366, 375, 8147, 26033, 490, 419, 370, 497, 418, 379, 509, 10254, 370, 18021, 355, 7511, 20693, 509, 420, 25693, 15159, 27384, 374, 419, 353, 378, 10951, 481, 418, 493, 494, 28032, 505, 29830, 358, 420, 367, 359, 420, 367, 485, 418, 374, 494, 12486, 692, 273, 269, 22614, 369, 494, 418, 356, 489, 16088, 27747, 499, 418, 352, 362, 26233, 507, 420, 359, 491, 27384, 374, 419, 353, 378, 10951, 481, 419, 369, 494, 418, 356, 489, 15159, 13200, 365, 12571, 482, 31801, 362, 419, 353, 378, 10951, 481, 418, 358, 509, 418, 356, 489, 25520, 25335, 496, 420, 487, 366, 19867, 478, 419, 369, 482, 29873, 7511, 8147, 25060, 483, 418, 489, 361, 418, 498, 379, 18021, 506, 18998, 25622, 23523, 489, 18998, 10533, 503, 420, 480, 366, 18998, 14395, 370, 18021, 511, 18998, 420, 479, 371, 418, 354, 511, 419, 511, 487, 419, 511, 487, 12486, 20881, 503, 11590, 505, 419, 369, 494, 418, 356, 489, 21928, 10533, 368, 22390, 489, 419, 353, 378, 10951, 481, 419, 367, 375, 419, 369, 365, 18809, 12916, 498, 20069, 21251, 12571, 490, 7511, 17295, 364, 12916, 491, 25520, 20693, 509, 420, 25693, 12486, 692, 274, 269, 476, 24757, 25060, 500, 16088, 27747, 499, 418, 352, 362, 26233, 507, 420, 359, 491, 27384, 374, 419, 353, 378, 10951, 481, 24757, 25060, 500, 15159, 418, 490, 485, 10429, 365, 12571, 490, 7511, 32517, 350, 10524, 364, 18998, 417, 481, 373, 29219, 25335, 478, 417, 379, 369, 18998, 419, 379, 496, 32517, 501, 25520, 26109, 493, 419, 363, 482, 419, 511, 487, 8147, 20881, 503, 11590, 505, 24757, 25060, 500, 18713, 510, 27381, 510, 16533, 491, 419, 353, 378, 10951, 481, 421, 360, 498, 419, 367, 375, 10429, 371, 20069, 19404, 491, 28884, 7511, 25051, 365, 421, 509, 379, 12486, 28032, 489, 417, 28187, 8147, 14395, 501, 10533, 503, 32517, 350, 10524, 364, 16533, 491, 419, 353, 378, 10951, 481, 27310, 27384, 374, 25520, 421, 479, 497, 23523, 371, 26109, 493, 419, 363, 482, 7511, 10254, 370, 27936, 421, 25693, 20069, 418, 354, 369, 27962, 7511, 25051, 365, 421, 509, 379, 12486, 692, 275, 269, 28859, 479, 492, 31801, 489, 16088, 27747, 499, 418, 352, 362, 26233, 507, 420, 359, 491, 27384, 374, 419, 353, 378, 10951, 481, 421, 479, 492, 31801, 489, 15159, 418, 490, 485, 12571, 482, 31801, 362, 27310, 27384, 374, 25520, 11590, 496, 417, 489, 499, 19867, 478, 25051, 351, 29873, 7511, 419, 370, 366, 419, 369, 350, 8147, 25060, 483, 418, 489, 361, 12571, 486, 30853, 18998, 419, 360, 370, 419, 486, 511, 18998, 16141, 507, 419, 359, 479, 419, 511, 487, 12486, 20881, 503, 11590, 505, 421, 479, 492, 31801, 489, 16533, 491, 419, 353, 378, 10951, 481, 7511, 18777, 488, 421, 479, 371, 25520, 419, 503, 376, 31271, 499, 10429, 371, 20069, 418, 354, 369, 27962, 7511, 25051, 365, 421, 509, 379, 12486, 692, 21928, 418, 485, 487, 17958, 20881, 503, 11590, 505, 418, 28187, 417, 379, 369, 25335, 352, 418, 365, 374, 419, 353, 378, 10951, 481, 417, 499, 493, 421, 350, 490, 25913, 30837, 351, 8147, 27747, 499, 418, 352, 362, 26233, 507, 420, 359, 491, 27384, 374, 421, 506, 478, 28884, 23523, 508, 23284, 31284, 4970, 487, 22390, 489, 25913, 30837, 351, 24662, 19867, 489, 16088, 692, 272, 269, 476, 26166, 22909, 494, 419, 353, 378, 10951, 481, 419, 369, 494, 418, 356, 489, 25520, 20693, 509, 420, 25693, 8147, 19867, 378, 24731, 419, 353, 378, 10951, 481, 417, 499, 493, 421, 350, 490, 7511, 21550, 373, 418, 374, 494, 12486, 28032, 489, 417, 28187, 8147, 26166, 22909, 494, 419, 353, 378, 10951, 481, 419, 370, 497, 418, 379, 509, 419, 369, 494, 418, 356, 489, 25520, 420, 479, 371, 418, 354, 511, 26166, 26266, 354, 7511, 14035, 365, 16141, 350, 8147, 19867, 378, 24731, 420, 366, 356, 21382, 490, 26266, 362, 420, 371, 507, 25520, 419, 353, 378, 10951, 481, 21251, 10429, 361, 7511, 21550, 373, 10951, 361, 31308, 509, 18713, 510, 12486, 692, 273, 269, 22614, 510, 498, 419, 358, 370, 419, 353, 378, 10951, 481, 24757, 25060, 500, 7511, 25051, 365, 421, 509, 379, 8147, 19867, 378, 24731, 419, 353, 378, 10951, 481, 417, 499, 493, 421, 350, 490, 7511, 24757, 25060, 500, 420, 481, 490, 418, 503, 363, 12486, 28032, 489, 417, 28187, 8147, 419, 510, 498, 419, 358, 370, 21251, 12571, 490, 24757, 25060, 500, 18809, 7511, 26233, 356, 10254, 354, 25335, 496, 420, 487, 366, 25520, 417, 481, 373, 29219, 25335, 478, 417, 379, 369, 8147, 19867, 378, 24731, 26233, 356, 10254, 354, 27882, 356, 26109, 500, 25520, 26233, 356, 418, 504, 368, 20693, 505, 7511, 21550, 373, 418, 374, 494, 12486, 692, 274, 269, 476, 26166, 22909, 494, 419, 353, 378, 10951, 481, 421, 479, 492, 31801, 489, 8147, 19867, 378, 24731, 25335, 352, 418, 365, 374, 419, 353, 378, 10951, 481, 417, 499, 493, 421, 350, 490, 7511, 419, 511, 500, 419, 499, 354, 25520, 25913, 25622, 12486, 28032, 489, 417, 28187, 8147, 419, 510, 498, 419, 358, 370, 419, 353, 378, 10951, 481, 16141, 507, 419, 359, 479, 25520, 12571, 486, 30853, 7511, 421, 479, 492, 31801, 489, 8147, 19867, 378, 24731, 25335, 352, 418, 365, 374, 21251, 12571, 490, 419, 378, 353, 421, 360, 498, 18263, 489, 421, 500, 497, 419, 509, 505, 25203, 378, 25520, 16141, 507, 419, 359, 479, 7511, 25913, 25622, 12486, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 23586, 4542, 692, 763, 7503, 3815, 689, 12919, 547, 5195, 568, 476, 271, 269, 277, 2641, 4391, 272, 4572, 26801, 3451, 267, 799, 1797, 602, 476, 272, 9481, 518, 568, 3160, 547, 476, 271, 269, 277, 2641, 4391, 272, 4572, 26801, 3451, 5195, 1384, 272, 5998, 815, 476, 271, 269, 277, 2641, 4391, 272, 4572, 26801, 3451, 11465, 692, 2414, 6460, 476, 3393, 269, 273, 12919, 883, 5195, 649, 723, 547, 9062, 476, 3393, 269, 273, 676, 519, 7503, 3815, 538, 1931, 547, 1205, 519, 3259, 2179, 689, 12919, 547, 5195, 269, 1284, 666, 849, 1106, 513, 2241, 8167, 547, 5173, 519, 1267, 1384, 272, 5998, 9890, 476, 271, 269, 277, 2641, 4391, 272, 4572, 26801, 3451, 11465, 692, 3393, 269, 273, 5998, 9890, 700, 9852, 328, 2020, 24169, 519, 1657, 8167, 547, 3489, 519, 3259, 700, 538, 5195, 1384, 299, 9852, 328, 264, 815, 476, 3393, 269, 273, 5998, 6398, 476, 271, 269, 277, 2641, 4391, 272, 4572, 26801, 3451, 11465, 692, 299, 9852, 328, 264, 815, 476, 2764, 269, 5400, 276, 280, 6507, 6434, 280, 14096, 11465, 692, 763, 3803, 1267, 568, 1384, 3393, 269, 273, 5998, 9890, 476, 2764, 269, 5400, 276, 280, 6507, 6434, 280, 14096, 11465, 692, 2171, 9959, 602, 476, 3393, 269, 273, 12919, 568, 6697, 547, 476, 2764, 269, 5400, 276, 280, 6507, 6434, 280, 14096, 5195, 1384, 3393, 269, 273, 12919, 815, 476, 2764, 269, 5400, 276, 280, 6507, 6434, 280, 14096, 5195, 692, 1012, 20010, 7503, 692, 2171, 666, 849, 6460, 676, 9001, 519, 11201, 1871, 540, 519, 7503, 3815, 269, 769, 713, 2013, 476, 272, 13304, 568, 3160, 547, 476, 271, 269, 271, 3374, 2568, 275, 280, 4649, 4037, 273, 18891, 6398, 476, 3393, 269, 273, 12919, 780, 5194, 1259, 568, 6031, 602, 476, 3393, 269, 273, 12919, 568, 3160, 547, 476, 272, 21680, 476, 271, 269, 271, 3374, 2568, 275, 280, 4649, 4037, 273, 18891, 5195, 780, 1012, 20976, 1493, 1267, 692, 2690, 4052, 5301, 649, 666, 5180, 938, 3803, 1267, 547, 606, 16977, 10230, 1871, 269, 1284, 666, 2161, 602, 17288, 19317, 1448, 1079, 12919, 568, 5111, 8938, 32732, 1448, 4642, 5216, 3670, 5195, 1384, 3393, 269, 273, 5998, 9881, 483, 476, 2764, 269, 5400, 277, 11465, 692, 2304, 4244, 568, 849, 602, 835, 13304, 568, 5111, 4642, 1448, 4642, 1614, 3670, 2053, 17288, 19317, 1448, 1079, 12919, 780, 1012, 23586, 3349, 692, 2162, 12919, 547, 5195, 5750, 692, 2690, 2656, 4704, 5301, 267, 2630, 568, 519, 7503, 3349, 596, 666, 946, 547, 6460, 689, 12919, 547, 5195, 692, 330, 559, 18852, 630, 14790, 264, 5195, 630, 14741, 994, 5379, 269, 273, 12919, 476, 2764, 269, 3583, 278, 5195, 454, 5325, 269, 273, 12919, 476, 3066, 269, 31696, 5195, 454, 4366, 269, 273, 12919, 476, 3066, 269, 4817, 5195, 454, 5392, 269, 273, 12919, 476, 1789, 269, 6872, 272, 5195, 454, 2004, 269, 273, 12919, 476, 4029, 269, 4350, 5195, 454, 7906, 269, 273, 12919, 476, 4029, 269, 279, 1691, 5195, 454, 7367, 269, 273, 12919, 476, 3953, 269, 275, 3607, 5195, 454, 7871, 269, 273, 12919, 476, 3451, 269, 4962, 278, 5195, 454, 7918, 269, 273, 12919, 476, 3451, 269, 277, 4281, 5195, 454, 4649, 269, 273, 12919, 476, 4097, 269, 274, 5195 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11899, 568, 519, 3152, 4320, 563, 273, 4846, 568, 3152, 1317, 476, 273, 4846, 815, 476, 273, 267, 1822, 575, 454, 7785, 271, 575, 815, 476, 277, 4846, 865, 476, 279, 4846, 568, 3152, 454, 18231, 1822, 271, 10101, 815, 476, 18231, 271, 4846, 476, 14596, 271, 4846, 568, 3152, 454, 272, 11304, 568, 3160, 547, 476, 272, 267, 1822, 10101, 454, 271, 269, 9826, 4846, 815, 476, 272, 575, 589, 11304, 568, 513, 1770, 476, 1911, 271, 2053, 3152, 982, 513, 6121, 563, 288, 11304, 568, 3152, 1317, 621, 3217, 9474, 27345, 476, 273, 6550, 547, 3160, 476, 272, 11304, 563, 27860, 814, 513, 3152, 5860, 563, 6202, 9444, 568, 3152, 1317, 519, 522, 2365, 2626, 568, 530, 3530, 956, 269, 16764, 6487, 602, 2336, 5445, 1312, 2597, 513, 11304, 269, 8048, 814, 513, 2362, 5860, 563, 272, 11304, 11224, 476, 1911, 271, 326, 267, 865, 476, 272, 11304, 568, 3152, 982, 476, 1220, 271, 326, 2336, 273, 4846, 5221, 972, 476, 1220, 271, 575, 538, 476, 272, 4846, 865, 476, 273, 4846, 1131, 581, 476, 6110, 271, 575, 563, 288, 11304, 568, 476, 1911, 271, 10101, 563, 5591, 267, 476, 1015, 10101, 568, 711, 3152, 982, 513, 11304, 269, 476, 272, 11304, 568, 3160, 547, 476, 1911, 271, 10101, 563, 278, 4846, 543, 476, 6872, 277, 575, 610, 476, 4037, 278, 277, 575, 454, 10468, 2416, 269, 589, 11304, 568, 519, 1482, 7488, 563, 288, 11304, 568, 513, 476, 1911, 271, 10101, 563, 5591, 621, 568, 711, 269, 589, 11304, 568, 476, 1911, 271, 10101, 563, 288, 4846, 630, 330, 559, 6945, 264, 568, 8273, 982, 513, 575, 630, 13559, 1040, 589, 4846, 630, 330, 559, 6945, 264, 568, 3160, 547, 476, 1911, 271, 575, 630, 31810, 994, 763, 31120, 585, 6121, 543, 11304, 6606, 563, 272, 18741, 6945, 815, 476, 1911, 271, 10101, 269, 1924, 9811, 513, 18741, 6945, 568, 3152, 982, 513, 6121, 563, 273, 13532, 288, 19251, 8183, 568, 3152, 982, 513, 11304, 269, 898, 568, 28484, 27002, 267, 543, 568, 3160, 547, 476, 272, 267, 1822, 267, 1822, 10101, 563, 11004, 519, 1482, 1775, 1589, 12727, 994, 1515, 814, 1100, 2597, 454, 5591, 269, 834, 326, 257, 568, 10101, 543, 834, 11899, 257, 568, 11304, 269, 1703, 616, 476, 1911, 271, 326, 538, 1169, 4846, 267, 865, 476, 3199, 11899, 568, 476, 3199, 267, 1822, 326, 543, 476, 3199, 326, 568, 1175, 476, 271, 269, 25484, 11899 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 763, 2319, 1336, 602, 519, 5444, 17683, 519, 631, 701, 313, 11747, 568, 15181, 538, 4544, 1769, 269, 4495, 3812, 267, 631, 701, 313, 1287, 25907, 547, 19215, 5946, 5627, 23416, 602, 7363, 6952, 3039, 1769, 543, 1140, 2851, 606, 4244, 6985, 2684, 648, 602, 2636, 519, 13494, 333, 2801, 547, 7001, 4544, 1769, 269, 634, 1808, 7271, 267, 1572, 1826, 10001, 6985, 1738, 1035, 743, 11582, 267, 3322, 13868, 1614, 6675, 540, 519, 3039, 1769, 268, 25388, 6883, 6985, 2684, 648, 609, 606, 3160, 1297, 540, 4544, 1769, 268, 25388, 6883, 6985, 2684, 648, 269, 901, 2681, 6879, 14823, 568, 31181, 543, 568, 6417, 676, 519, 5223, 540, 4544, 547, 3039, 1769, 538, 519, 1604, 563, 257, 4322, 1412, 577, 668, 1738, 740, 9532, 262, 616, 3020, 669, 877, 548, 976, 602, 666, 7561, 2661, 538, 3039, 9381, 7297, 607, 1134, 607, 538, 4544, 21369, 7297, 676, 22212, 741, 6477, 7695, 2437, 3223, 21539, 1767, 269, 834, 306, 344, 928, 577, 19905, 2281, 9738, 538, 4544, 1769, 7556, 4776, 5166, 6053, 4544, 1769, 267, 1247, 2281, 6738, 538, 3039, 1769, 7556, 811, 3039, 4799, 21202, 32443, 1723, 2044, 628, 12541, 10391, 21536, 514, 11430, 848, 28104, 9593, 848, 8060, 4544, 25984, 6985, 1738, 1035, 743, 11582, 538, 7286, 5204, 928, 577, 19905, 257, 729, 3370, 2228, 538, 519, 7216, 9990, 540, 18619, 540, 519, 2817, 9142, 540, 7070, 269, 3213, 22052, 4243, 609, 3223, 21539, 267, 849, 28337, 609, 594, 308, 2349, 334, 4040, 2023, 781, 18518, 17449, 10334, 4659, 267, 941, 594, 308, 1912, 6185, 269, 2875, 1323, 1307, 327, 1744, 4157, 5055, 282, 2997, 6359, 527, 645, 529, 13195, 543, 654, 754, 344, 631, 269, 5576, 331, 1276, 614, 540, 519, 2160, 540, 1715, 20252, 282, 12832, 15614, 2349, 582, 540, 10713, 527, 24839, 1696, 21322, 4354, 773, 910, 8303, 476, 6187, 267, 519, 10418, 2817, 632, 3288, 5589, 615, 3832, 6982, 604, 1664, 543, 1849, 1069, 2632, 10713, 527, 538, 5333, 282, 12049, 20143, 3487, 839, 5652, 543, 19846, 1338, 25661, 345, 732, 330, 540, 10713, 527, 24839, 1696, 21322, 4354, 773, 910, 8303, 476, 6187, 543, 519, 10418, 2817, 632, 3288, 5589, 615, 3832, 6982, 604, 1664, 282, 594, 308, 2349, 334, 4040, 2023, 4972, 540, 11061, 631, 4953, 3722, 12682, 4437, 12950, 5811, 4741, 2527, 26563, 4479, 9744, 9614, 543, 13930, 10196, 22189, 589, 269, 918, 691, 344, 543, 13930, 10196, 7200, 321, 3534, 589, 269, 670, 13758, 282, 543, 5449, 594, 308, 7350, 10927, 2875, 1656, 6929, 28066, 340, 267, 1631, 540, 12370, 2160, 563, 347, 23086, 281, 19378, 24755, 680, 514, 347 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 763, 30985, 595, 2378, 2946, 454, 10817, 3660, 681, 323, 269, 5426, 700, 454, 19950, 5426, 476, 272, 268, 276, 454, 20797, 519, 9904, 538, 634, 30985, 595, 2378, 2946, 256, 1703, 616, 476, 2918, 1114, 10624, 3688, 547, 3442, 689, 543, 1142, 1376, 609, 513, 1114, 4484, 540, 519, 9904, 269, 22419, 786, 581, 12955, 547, 2119, 17378, 3250, 550, 18479, 11244, 28096, 267, 28769, 24189, 710, 623, 8986, 267, 772, 1186, 3660, 1144, 19067, 31817, 267, 543, 14858, 3630, 3911, 26743, 625, 607, 789, 1224, 513, 2110, 6609, 540, 1142, 540, 891, 8949, 13300, 269, 674, 4545, 3814, 12383, 948, 3988, 1205, 513, 17705, 3308, 540, 891, 632, 937, 762, 13000, 563, 3849, 1288, 1299, 25513, 24110, 476, 273, 268, 274, 5053, 281, 476, 279, 5174, 809, 5590, 454, 30395, 6128, 1702, 543, 7924, 1983, 609, 713, 476, 279, 5174, 809, 5053, 5590, 256, 4841, 786, 1451, 1840, 543, 12408, 1247, 7722, 538, 2542, 1164, 29027, 1543, 563, 1103, 713, 3296, 596, 666, 1265, 8039, 689, 938, 5561, 267, 610, 596, 666, 1039, 707, 1378, 2689, 585, 713, 1880, 1587, 563, 20578, 518, 8039, 948, 824, 8436, 547, 1224, 5955, 689, 3755, 945, 723, 2907, 12349, 543, 616, 1210, 570, 13967, 779, 2472, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6637, 7170, 281, 4197, 30766, 281, 589, 7981, 5384, 585, 10271, 692, 5331, 602, 596, 616, 8600, 585, 513, 2462, 11812, 267, 543, 596, 1616, 547, 1205, 883, 519, 6891, 540, 519, 8317, 269, 1411, 1522, 1376, 676, 7718, 908, 707, 1753, 609, 30018, 4778, 543, 6698, 267, 4058, 2027, 6980, 267, 543, 3206, 827, 875, 596, 666, 1397, 11587, 543, 28908, 2509, 1866, 269, 1306, 513, 4759, 540, 513, 5132, 2146, 267, 972, 616, 1419, 2027, 5389, 543, 2853, 2404, 609, 891, 16873, 602, 948, 547, 15052, 741, 2495, 269, 2290, 971, 11812, 538, 519, 4168, 11706, 568, 1572, 30766, 780, 299, 550, 568, 513, 1974, 540, 942, 3056, 909, 547, 513, 2101, 9702, 1572, 14914, 269, 6056, 540, 30766, 899, 513, 3460, 12544, 5289, 7045, 1141, 10271, 5965, 2933, 547, 8661, 519, 24446, 540, 4906, 2441, 269, 901, 3460, 2356, 6238, 593, 513, 1554, 1572, 12891, 13723, 543, 5170, 2394, 1175, 1354, 14914, 10732, 269, 634, 2262, 834, 299, 550, 257, 2501, 689, 606, 2025, 2296, 2262, 267, 7003, 551, 523, 267, 799, 1797, 834, 338, 7428, 1701, 1656, 1454, 899, 5614, 7436, 519, 1439, 540, 5162, 543, 6770, 1007, 1272, 267, 30766, 23327, 513, 4195, 1376, 543, 25430, 585, 1346, 945, 2259, 621, 780, 3080, 1713, 2460, 540, 30766, 3322, 1818, 930, 2123, 24279, 269, 5994, 4259, 11735, 1945, 11791, 267, 899, 28916, 610, 8384, 7641, 267, 585, 513, 1247, 865, 596, 1223, 1445, 811, 593, 824, 1271, 1919, 269, 2334, 781, 1018, 1082, 10271, 798, 1282, 30766, 256, 1358, 949, 3442, 547, 2285, 909, 1945, 789, 2972, 267, 899, 17711, 267, 14614, 267, 610, 3381, 3756, 269, 2107, 267, 789, 1522, 6430, 547, 1039, 1945, 2318, 547, 741, 6296, 267, 899, 2542, 3063, 6426, 18627, 1142, 1554, 610, 4543, 12543, 269, 1452, 5079, 7618, 873, 540, 4906, 262, 15093, 950, 646, 5795, 1010, 1378, 1272, 585, 782, 30768, 780, 3086, 267, 1946, 1281, 30766, 2063, 1472, 476, 2412, 2395, 286, 4270, 267, 538, 8567, 267, 519, 1297, 17288, 814, 1390, 4644, 269, 4340, 547, 13400, 2984, 267, 15584, 4607, 519, 14210, 16710, 906, 1310, 7836, 476, 2412, 2395, 593, 6778, 31291, 328, 267, 25424, 543, 1010, 1920, 6170, 476, 2412, 2395, 543, 17334, 593, 519, 818, 330, 1282, 519, 6360, 267, 543, 4906, 5128, 6170, 476, 2412, 2395, 538, 519, 9390, 32467, 543, 17509, 1354, 4358, 1010, 1857, 18591, 269, 1924, 267, 476, 275, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 288, 4168, 13411, 942, 267, 519, 30766, 523, 4005, 5956, 593, 12891, 13723, 543, 16569, 5111, 476, 2412, 2395, 267, 10678, 593, 631, 16184, 344, 13628, 267, 519, 13628, 1354, 14914, 269, 4438, 30766, 267, 1082, 10271, 3728, 543, 2285, 909, 1978, 12743, 3753, 547, 21613, 4906, 779, 24279, 267, 4352, 519, 1259, 1114, 29559, 1312, 7747, 543, 5173, 30766, 9775, 563, 15933, 543, 17509, 4249, 513, 1804, 851, 538, 2413, 30766, 523, 8343, 267, 607, 621, 1705, 1282, 519, 27867, 2540, 269, 3509, 1004, 917, 519, 4098, 540, 30766, 267, 711, 1317, 540, 12891, 13723, 267, 855, 1317, 540, 1744, 17311, 13638, 267, 849, 1634, 607, 623, 4545, 820, 13638, 267, 15310, 13638, 610, 631, 31651, 6182, 553, 269, 769, 570, 31122, 543, 26573, 4789, 267, 1004, 4553, 713, 2245, 267, 4189, 3443, 31817, 610, 535, 761, 1562, 547, 968, 576, 14896, 622, 892, 519, 1554, 1354, 30766, 3459, 563, 2690, 27867, 2540, 2296, 2367, 543, 2021, 267, 17509, 729, 711, 7164, 269, 1280, 1585, 3909, 267, 2797, 543, 2804, 4128, 267, 936, 3368, 519, 2395, 540, 519, 1032, 941, 6825, 607, 17509, 2395, 269, 7313, 648, 337, 1004, 1131, 2196, 856, 540, 1426, 607, 519, 5162, 8637, 941, 30701, 543, 1131, 723, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 13493, 1315, 32733, 1299, 18270, 725, 1315, 14914, 1299, 30766, 1315, 30766, 543, 4168, 18321, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 6904, 540, 519, 1739, 9424, 1131, 581, 11807, 11269, 540, 2597, 286, 513, 269, 476, 1321, 269, 271, 18470, 536, 269, 476, 271, 269, 4097, 575, 524, 269, 476, 6344, 4846, 692, 9223, 692, 7617, 540, 519, 1739, 9424, 1131, 581, 11807, 11269, 540, 2597, 888, 320, 269, 476, 1321, 269, 271, 18470, 454, 321, 269, 476, 271, 269, 4097, 575, 454, 322, 269, 476, 6344, 4846, 454, 323, 269, 476, 8182, 271, 737, 301, 454, 324, 269, 476, 271, 269, 4097, 544, 454, 325, 269, 476, 30329, 4699, 692, 514, 3356, 476, 271, 454, 272, 1032, 476, 1708, 272, 268, 5881, 268, 1839, 307, 2641, 281, 1240, 281, 1691, 266, 876, 281, 876, 476, 272, 12226, 476, 274, 4281, 5784, 476, 271, 692, 272, 269, 19247, 1384, 26574, 540, 606, 1843, 568, 2982, 519, 3196, 540, 8904, 9117, 593, 621, 269, 898, 568, 7229, 2527, 2053, 10231, 1813, 547, 8904, 780, 331, 321, 568, 519, 1770, 540, 1285, 7546, 16632, 12251, 2597, 269, 898, 1797, 602, 476, 1321, 18470, 2982, 2597, 780, 13559, 267, 4846, 568, 519, 1770, 540, 2527, 269, 898, 1797, 476, 271, 269, 4097, 575, 543, 476, 6344, 4846, 2982, 2527, 540, 606, 1843, 780, 332, 543, 4699, 616, 519, 4559, 540, 3259, 269, 898, 1797, 476, 271, 269, 4097, 544, 543, 476, 30329, 4699, 2982, 519, 3259, 540, 519, 1843, 780, 301, 568, 519, 1770, 540, 2597, 780, 17798, 267, 476, 1321, 269, 271, 18470, 543, 476, 8182, 271, 737, 301, 616, 11807, 11269, 540, 2597, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 300, 12568, 5829, 30969, 281, 589, 2518, 6161, 454, 300, 580, 7847, 267, 28357, 5498, 2131, 619, 543, 15076, 616, 5781, 27226, 540, 741, 15698, 17033, 585, 11889, 13418, 269, 3509, 2477, 946, 30969, 547, 15658, 1004, 689, 4955, 7992, 610, 5275, 28357, 269, 4635, 3879, 13577, 2665, 267, 713, 3561, 2488, 606, 7650, 540, 30969, 2853, 538, 1114, 2477, 269, 5489, 1549, 540, 1875, 5991, 566, 1023, 543, 28357, 5498, 2131, 619, 267, 2175, 540, 30969, 543, 1480, 2924, 4441, 11341, 547, 1880, 2516, 616, 849, 4988, 563, 16521, 513, 1893, 547, 2070, 1867, 454, 268, 29874, 281, 1412, 289, 558, 2125, 2887, 689, 519, 6607, 1554, 543, 3781, 9166, 6406, 2103, 896, 3595, 538, 7187, 29874, 454, 268, 17434, 15048, 7984, 3101, 24793, 540, 5274, 7126, 4521, 9807, 10609, 531, 559, 8575, 1406, 537, 336, 454, 268, 19934, 281, 5309, 4221, 2630, 922, 2597, 281, 4031, 543, 2853, 1683, 16283, 1480, 2924, 4027, 269, 2549, 333, 17965, 4139, 4427, 3939, 547, 519, 6167, 17629, 11270, 545, 5623, 267, 5130, 910, 5988, 476, 1001, 277 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 898, 729, 513, 6505, 1554, 538, 519, 4884, 540, 23008, 320, 27455, 807, 267, 1141, 3025, 12038, 1114, 4654, 269, 12756, 267, 945, 6068, 782, 1919, 5053, 267, 2893, 1524, 609, 1200, 993, 15282, 267, 808, 5282, 267, 547, 2259, 741, 1893, 1983, 780, 300, 7559, 5795, 808, 5282, 513, 4161, 281, 968, 11693, 513, 4845, 538, 5053, 267, 1689, 621, 5594, 1247, 5329, 922, 2495, 543, 1818, 621, 26363, 1848, 2701, 795, 582, 1540, 1524, 513, 4845, 267, 968, 292, 30533, 6403, 19448, 3616, 541, 24265, 865, 3691, 575, 520, 657, 2223, 799, 1797, 968, 296, 5206, 513, 3948, 827, 7314, 14325, 297, 5282, 6743, 15826, 269, 1261, 6785, 646, 1185, 547, 1832, 519, 1482, 8239, 2497, 1765, 11357, 915, 267, 8231, 267, 543, 1843, 269, 2991, 513, 4090, 267, 646, 20493, 543, 1767, 267, 968, 8867, 6403, 796, 24140, 550, 334, 1035, 2075, 320, 632, 829, 4592, 892, 12462, 296, 1224, 513, 1650, 827, 5243, 26158, 1358, 1312, 1750, 1229, 1317, 808, 5282, 4553, 519, 3652, 256, 634, 1641, 968, 296, 892, 18423, 519, 1482, 267, 519, 8231, 4957, 689, 1603, 547, 2542, 267, 543, 3079, 540, 6158, 827, 7314, 267, 789, 1631, 5941, 5243, 1107, 1869, 2831, 267, 865, 621, 1500, 2631, 2439, 2026, 789, 4797, 8026, 267, 789, 9289, 875, 824, 2713, 7068, 5968, 1510, 9275, 610, 2854, 1893, 269, 2334, 3366, 873, 547, 2263, 519, 1523, 540, 3662, 1560, 1893, 267, 1565, 4241, 5013, 827, 6786, 543, 17267, 269, 3245, 530, 698, 3101, 21217, 547, 25858, 539, 1750, 7370, 267, 1169, 1847, 814, 513, 2189, 5048, 2439, 19013, 267, 2663, 602, 12784, 267, 12756, 5185, 7411, 2870, 1200, 1378, 15428, 4845, 269, 6736, 1200, 3646, 267, 1352, 7948, 1405, 1589, 540, 513, 1259, 547, 556, 874, 19189, 1200, 4845, 1247, 9363, 3020, 547, 519, 3652, 269, 1809, 1310, 8384, 808, 5282, 3461, 569, 948, 1200, 2429, 519, 1554, 267, 1352, 7691, 602, 3006, 649, 1451, 811, 950, 1919, 1810, 1405, 979, 607, 9709, 269, 5020, 3884, 1405, 2141, 3501, 267, 855, 7279, 543, 6043, 666, 1291, 721, 547, 6909, 3621, 8906, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 2791, 786, 581, 2016, 513, 4214, 540, 513, 4305, 1101, 267, 1287, 930, 3403, 540, 519, 4305, 563, 11693, 513, 4845, 538, 5053, 267, 5352, 513, 1007, 5053, 4845, 676, 7900, 1507, 2242, 593, 519, 4845, 269, 3371, 267, 1118, 2386, 602, 519, 2242, 616, 5033, 656, 1227, 1644, 543, 4852, 716, 1227, 2147, 547, 519, 3403, 269, 1656, 519, 6383, 4845, 1058, 723, 1164, 862, 976, 1619, 23710, 2225, 267, 602, 568, 547, 723, 10257, 5506, 540, 621, 1373, 3020, 780, 292, 30533, 6403, 19448, 3616, 541, 24265, 865, 3691, 575, 520, 657, 563, 20479, 912, 763, 4305, 568, 6998, 596, 547, 1711, 513, 1007, 5053, 4845, 1759, 593, 519, 2016, 3403, 267, 4509, 519, 16105, 543, 2495, 540, 519, 3312, 4845, 1247, 849, 4180, 602, 519, 1007, 4845, 2306, 2631, 543, 568, 26363, 780, 2080, 781, 513, 15059, 540, 519, 4808, 543, 3268, 585, 713, 4305, 1384, 272, 269, 13760, 519, 2016, 4845, 538, 5053, 281, 834, 292, 30533, 6403, 19448, 3616, 541, 24265, 865, 3691, 575, 520, 657, 1701, 630, 296, 5206, 513, 3948, 827, 7314, 24355, 273, 269, 10576, 519, 1883, 2609, 543, 2497, 540, 519, 4845, 269, 769, 713, 2013, 267, 519, 1641, 568, 834, 296, 2437, 519, 8231, 568, 834, 342, 4710, 2437, 543, 519, 1843, 568, 834, 320, 3948, 705, 334, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 763, 2810, 16126, 540, 938, 3872, 1062, 593, 13387, 4255, 814, 10511, 18469, 513, 3084, 7521, 269, 901, 7521, 267, 2705, 267, 814, 8399, 539, 609, 2370, 3007, 547, 519, 4255, 2933, 269, 901, 1433, 2306, 513, 14046, 9295, 547, 519, 7521, 676, 1210, 519, 2409, 540, 11407, 2079, 547, 4983, 711, 1152, 11347, 1570, 689, 2542, 4255, 855, 849, 1453, 781, 6114, 547, 621, 269, 634, 1433, 568, 3226, 18906, 633, 547, 519, 1909, 540, 2528, 538, 5935, 1453, 781, 1620, 540, 1018, 789, 1224, 563, 10831, 540, 3817, 281, 476, 275, 4097, 454, 26574, 281, 476, 279, 2537, 575, 454, 291, 574, 5014, 281, 476, 26631, 1535, 476, 13923, 1535, 476, 2764, 6515, 454, 2791, 949, 849, 581, 5461, 538, 2483, 14188, 596, 585, 707, 30063, 454, 7312, 1931, 568, 1631, 1373, 9268, 543, 649, 723, 2366, 513, 21533, 4757, 547, 596, 693, 454, 2691, 786, 1250, 1931, 581, 4712, 547, 2445, 888, 24445, 721, 593, 610, 6494, 721, 606, 4757, 693, 454, 19013, 972, 814, 1044, 513, 1966, 609, 707, 1931, 454, 8923, 2119, 1586, 610, 4244, 569, 596, 666, 3346, 707, 6074, 6300, 593, 610, 6494, 721, 606, 4757, 693 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3848, 476, 279, 281, 31420, 18058, 543, 32522, 692, 5970, 596, 2479, 9289, 875, 707, 6049, 666, 2285, 596, 8846, 1100, 2339, 1141, 596, 616, 286, 2107, 875, 596, 666, 1289, 2576, 945, 781, 2484, 2476, 267, 1256, 952, 789, 2811, 593, 519, 824, 2427, 540, 519, 1158, 286, 4270, 267, 621, 781, 782, 7064, 547, 1945, 1572, 9682, 10618, 2439, 5331, 596, 1616, 547, 1289, 707, 3659, 945, 814, 6410, 547, 1776, 2197, 269, 1879, 596, 2046, 1412, 322, 718, 3299, 707, 5639, 4991, 5828, 883, 5925, 6329, 602, 2951, 909, 547, 513, 7404, 1591, 13486, 269, 1809, 1018, 4523, 1985, 286, 2334, 781, 1141, 15408, 2097, 538, 2439, 4322, 5749, 1405, 1175, 1022, 15408, 282, 789, 2811, 2027, 3283, 28835, 1472, 938, 4541, 269, 1358, 4309, 519, 5365, 2366, 676, 519, 1591, 13486, 267, 1287, 25483, 621, 1394, 1524, 547, 3047, 267, 3850, 707, 3659, 547, 5873, 707, 5639, 5215, 540, 5195, 2476, 256, 901, 2898, 1184, 1152, 3217, 513, 6824, 540, 513, 2034, 269, 1215, 3579, 568, 602, 2496, 3086, 1577, 781, 2911, 827, 12445, 269, 5620, 596, 4862, 540, 15870, 630, 17471, 19024, 532, 3590, 21663, 898, 2337, 1919, 899, 6517, 267, 16996, 267, 14742, 910, 543, 9811, 267, 1256, 707, 6049, 910, 4137, 856, 4010, 1141, 789, 616, 593, 3047, 269, 15870, 12346, 593, 811, 982, 1079, 18797, 15408, 7683, 10760, 16841, 269, 3962, 835, 15920, 856, 513, 2189, 5365, 5627, 922, 3169, 4087, 543, 519, 1699, 942, 780, 2691, 707, 3926, 6499, 547, 917, 922, 2990, 267, 621, 1592, 839, 585, 6786, 689, 693, 2547, 2185, 1114, 15408, 8195, 269, 1635, 9236, 519, 12625, 2053, 540, 891, 6786, 267, 621, 666, 3313, 875, 1279, 1142, 5365, 3576, 547, 3914, 621, 269, 4595, 649, 917, 519, 3432, 540, 1346, 5925, 6329, 267, 2324, 856, 3845, 568, 2241, 2979, 269, 4495, 707, 31942, 6487, 519, 3845, 547, 1614, 15408, 267, 621, 666, 22942, 922, 1378, 4087, 1210, 9511, 269, 17006, 513, 8772, 9682, 5849, 6111, 780, 3674, 333, 1405, 2029, 5863, 286, 3807, 1589, 281, 1169, 1554, 267, 6634, 540, 1004, 7048, 593, 9682, 10618, 543, 12445, 547, 3251, 4448, 543, 1265, 741, 1259, 1472, 269, 1656, 713, 2361, 8952, 3395, 609, 1007, 10124, 269, 9320, 14693, 9358, 786, 3565, 547, 713, 4241, 1858, 540, 2257, 543, 4702, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26199, 27545, 8274, 454, 17809, 739, 267, 7905, 267, 20996, 7177, 267, 654, 18444, 454, 17556, 1597, 654, 32511, 2795, 4802, 454, 17809, 739, 267, 7905, 267, 15379, 543, 8950, 7177, 267, 11908, 15306, 454, 7804, 269, 24697, 654, 269, 32511, 2795, 4802, 568, 519, 3038, 739, 543, 15445, 21470, 5518, 585, 14288, 16457, 693, 11908, 15306, 269, 1261, 5713, 607, 519, 8783, 4081, 11464, 540, 519, 4659, 543, 2488, 5718, 547, 782, 4081, 543, 1644, 4559, 267, 1519, 519, 12621, 267, 519, 5399, 267, 543, 3318, 2069, 563, 7804, 269, 32511, 2795, 4802, 4607, 519, 645, 2529, 9950, 9950, 269, 4110, 689, 3345, 13523, 2160, 267, 519, 631, 2529, 9950, 269, 4110, 689, 23134, 2160, 267, 543, 519, 1912, 6185, 269, 4110, 689, 519, 2160, 540, 12309, 269, 1261, 8678, 519, 3427, 540, 15379, 543, 8950, 7177, 693, 11908, 15306, 538, 5181, 476, 1960, 277, 269, 3245, 476, 1001, 278, 268, 1708, 271, 267, 646, 6039, 607, 519, 25760, 540, 519, 5441, 540, 7177, 543, 519, 8828, 7577, 17348, 269, 3245, 476, 1001, 273, 268, 1001, 278, 267, 646, 6039, 607, 519, 19378, 654, 269, 932, 5417, 1157, 3427, 17348, 538, 519, 3427, 540, 15379, 543, 8950, 7177, 269, 3245, 476, 1220, 278, 268, 1001, 273, 267, 646, 729, 21470, 3038, 739, 585, 4139, 9024, 9332, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25823, 22972, 18058, 543, 32522, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 5303, 1315, 17224, 517, 2246, 923, 267, 13562, 2246, 923, 1299, 6611, 3163, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 24998, 2187, 825, 1219, 568, 8138, 29728, 4311, 267, 521, 267, 512, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 30741, 454, 1038, 2433, 6943, 512, 281, 30741, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 952, 711, 521, 543, 711, 512, 912, 2018, 2132, 6936, 454, 1038, 8640, 630, 2254, 521, 543, 512, 264, 610, 630, 338, 543, 711, 512, 2187, 2018, 2132, 8771, 454, 1038, 8640, 1582, 18994, 306, 877, 21698, 4433, 267, 512, 2187, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 1582, 18994, 8138, 29728, 4433, 16000, 267, 512, 264, 610, 1582, 18994, 8138, 29728, 4433, 16192, 267, 512, 994, 8931, 825, 1219, 568, 306, 877, 21698, 4311, 267, 521, 267, 512, 2187, 1038, 952, 521, 22183, 2652, 512, 22183, 912, 2018, 952, 711, 521, 16000, 543, 711, 521, 16192, 543, 711, 512, 16000, 543, 711, 512, 16192, 912, 3546, 2132, 6936, 454, 2018, 8640, 521, 16000, 543, 521, 16192, 543, 512, 16000, 543, 512, 16192, 912, 3546, 2132, 1582, 18994, 306, 877, 21698, 4433, 16000, 267, 512, 16000, 264, 543, 1582, 18994, 306, 877, 21698, 4433, 16192, 267, 512, 16192, 994, 2018, 8640, 521, 16000, 543, 711, 521, 16192, 543, 512, 16000, 543, 711, 512, 16192, 912, 3546, 2132, 1582, 18994, 306, 877, 21698, 4433, 16000, 267, 512, 16000, 994, 2018, 8640, 711, 521, 16000, 543, 521, 16192, 543, 711, 512, 16000, 543, 512, 16192, 912, 3546, 2132, 1582, 18994, 306, 877, 21698, 4433, 16192, 267, 512, 16192, 994, 1038, 2132, 8771, 672 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8450, 1919, 8335, 888, 291, 903, 2716, 923, 1589, 543, 1184, 1344, 538, 513, 1114, 1259, 547, 1004, 945, 5749, 1406, 7988, 2716, 545, 269, 898, 568, 8810, 689, 2634, 18767, 269, 901, 1797, 789, 666, 1413, 693, 2093, 267, 1344, 610, 3785, 8335, 543, 824, 1004, 949, 711, 1174, 1946, 269, 6884, 621, 7959, 899, 596, 616, 519, 1152, 835, 899, 713, 563, 18455, 2111, 547, 1294, 543, 1184, 1344, 538, 513, 1114, 1259, 568, 513, 7988, 2716, 545, 4222, 543, 12595, 538, 519, 9036, 543, 2146, 563, 29936, 585, 21619, 2716, 923, 454, 14112, 2165, 3965, 454, 302, 6113, 1359, 543, 15971, 1344, 454, 3682, 22422, 17391, 1344, 454, 5278, 7988, 2716, 923, 666, 1224, 543, 2328, 811, 3362, 982, 1866, 269, 1358, 723, 1031, 741, 1966, 9010, 1983, 543, 2178, 3308, 3965, 547, 22771, 585, 741, 27577, 2861, 2591, 269, 3281, 839, 730, 7988, 2716, 923, 4043, 547, 1224, 834, 2421, 575, 626, 2668, 1358, 946, 2796, 543, 741, 1702, 547, 960, 856, 519, 575, 626, 540, 1018, 789, 616, 2542, 269, 713, 3587, 513, 1966, 950, 596, 723, 547, 917, 1018, 1142, 2262, 1797, 630, 7945, 607, 538, 13004, 267, 2262, 2042, 543, 4879, 2055, 1040, 16842, 24913, 2306, 741, 3339, 12003, 2994, 1447, 6325, 543, 786, 2333, 4606, 540, 4160, 563, 1805, 21880, 2195, 585, 21619, 2716, 923 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 7043, 3516, 267, 538, 513, 6263, 4104, 267, 5030, 1079, 8049, 2030, 16254, 910, 17848, 773, 519, 7101, 880, 543, 1975, 709, 339, 519, 6129, 17810, 269, 1358, 941, 2141, 27086, 676, 875, 789, 8057, 8335, 1142, 1554, 267, 1256, 1498, 789, 3357, 689, 519, 1482, 6079, 1920, 2439, 3080, 13566, 6640, 267, 17848, 773, 8068, 1945, 8966, 282, 1200, 7820, 7015, 729, 3395, 26339, 982, 2479, 1354, 256, 2701, 4280, 1864, 267, 834, 8967, 709, 339, 267, 875, 2097, 596, 2811, 8757, 865, 1454, 2417, 2509, 519, 7943, 2221, 12482, 10501, 1190, 1975, 709, 339, 14452, 267, 834, 11039, 11078, 267, 594, 4862, 602, 594, 8150, 2337, 721, 1332, 267, 2523, 950, 972, 781, 811, 540, 621, 593, 938, 2539, 5011, 15323, 305, 2393, 773, 9289, 16965, 267, 834, 3719, 7227, 267, 3884, 1405, 594, 8150, 9277, 547, 3500, 1524, 1591, 20436, 566, 538, 5072, 3079, 12482, 20776, 1440, 2213, 267, 1975, 709, 339, 1767, 267, 834, 3725, 958, 26834, 2334, 1797, 649, 4431, 8335, 547, 594, 8150, 1287, 256, 9320, 1317, 596, 2648, 9363, 11895, 543, 594, 2972, 1666, 6362, 538, 519, 24106, 3010, 2026, 2395, 5293, 267, 1312, 4797, 11287, 741, 17804, 2208, 3270, 269, 22582, 267, 789, 7691, 602, 1510, 16734, 267, 789, 1185, 20114, 519, 5728, 6456, 9944, 741, 11710, 543, 5072, 1107, 8904, 5129, 922, 851, 1932, 256, 2755, 513, 1164, 5834, 540, 594, 8150, 11074, 17848, 773, 781, 20436, 566, 267, 621, 9415, 1975, 709, 339, 547, 12701, 856, 1010, 6565, 269, 898, 782, 1500, 2631, 1631, 1107, 789, 9862, 2687, 547, 741, 1604, 267, 4180, 10103, 1063, 741, 1158, 896, 519, 3037, 543, 1657, 2666, 780, 4913, 267, 1934, 2501, 519, 6397, 6335, 256, 1879, 789, 6743, 1472, 267, 824, 2371, 8604, 11821, 543, 4503, 269, 2368, 7948, 1405, 2746, 5265, 547, 2901, 1769, 610, 8904, 1813, 547, 7508, 4773, 1572, 1412, 600, 2643, 6955, 6814, 9538, 6736, 891, 2591, 267, 891, 12703, 2371, 6836, 741, 1655, 547, 3082, 543, 1265, 3666, 267, 3450, 17848, 773, 543, 1975, 709, 339, 3407, 4245, 827, 6043, 267, 9542, 267, 543, 8508, 3604, 538, 2470, 269, 1656, 3976, 267, 741, 3621, 3408, 17275, 7279, 1851, 1866, 267, 11121, 3025, 547, 1451, 1927, 543, 10027, 880, 519, 4190, 13655, 540, 519, 2067, 1158, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 12585, 519, 1739, 2243, 2016, 713, 5037, 281, 567, 519, 5377, 540, 519, 1591, 269, 769, 5072, 267, 513, 1164, 5834, 540, 594, 8150, 29620, 1591, 20436, 566, 269, 634, 1198, 25815, 2208, 593, 519, 2539, 2427, 540, 519, 3597, 267, 1247, 2281, 1020, 7363, 593, 519, 5580, 2427, 269, 594, 8150, 814, 519, 6587, 1198, 538, 22534, 267, 1141, 513, 2362, 5834, 693, 519, 2539, 2427, 540, 519, 9496, 22262, 1591, 7269, 267, 4929, 519, 9496, 547, 1332, 909, 269, 2991, 519, 9496, 610, 3597, 2253, 547, 1332, 19794, 267, 519, 26887, 6955, 6814, 2132, 547, 741, 3339, 2990, 269, 4033, 19165, 24568, 341, 6295, 519, 3003, 1591, 538, 519, 1178, 10903, 1886, 1143, 1198, 1765, 17647, 1044, 6069, 547, 2491, 1946, 930, 4573, 1218, 602, 3668, 26887, 6955, 6814, 949, 1869, 8858, 513, 4617, 1178, 10903, 22241, 3210, 269, 567, 1627, 281, 769, 2371, 267, 513, 1164, 5834, 540, 476, 807, 320, 29620, 1018, 286, 567, 589, 912, 303, 1157, 707, 2626, 689, 912, 263, 296, 264, 8426, 12093, 563, 263, 2862, 264, 1482, 20436, 566, 563, 263, 7656, 264, 2029, 20436, 566, 563, 263, 4353, 264, 1591, 20436, 566, 563, 12585, 912, 263, 4353, 264, 1591, 20436, 566, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 1548, 568, 519, 13074, 5757, 538, 8581, 888, 12585, 281, 1744, 27553, 454, 2704, 328, 1162, 281, 1744, 27553, 630, 4134, 3711, 580, 6672, 1070, 590, 1014, 12061, 267, 1744, 27553, 267, 22767, 517 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22033, 7343, 548, 781, 11711, 19457, 3096, 513, 4999, 540, 590, 11586, 630, 20360, 3298, 4687, 264, 543, 589, 17025, 630, 21547, 4687, 994, 10521, 1455, 2081, 547, 2671, 6119, 1210, 11711, 19457, 616, 912, 7343, 548, 11711, 16257, 630, 288, 17025, 264, 589, 17025, 8850, 3096, 24290, 2845, 1231, 267, 865, 713, 1505, 540, 4687, 6119, 568, 9425, 5150, 269, 634, 3003, 2182, 12210, 568, 3838, 547, 23070, 3593, 6589, 269, 10572, 1753, 32766, 616, 3838, 547, 741, 9757, 3593, 6589, 269, 20305, 262, 1412, 14276, 262, 32766, 630, 663, 519, 1412, 291, 1886, 13340, 262, 17835, 3330, 264, 616, 3838, 547, 1022, 3593, 2272, 602, 814, 4687, 1569, 547, 519, 2780, 630, 328, 4318, 269, 4896, 538, 519, 1412, 560, 3530, 262, 1895, 267, 1519, 519, 16823, 2272, 952, 621, 568, 13087, 1916, 306, 13996, 24606, 13332, 630, 306, 11586, 1070, 5871, 5769, 11711, 3590, 630, 5746, 12396, 264, 1879, 8837, 630, 528, 7654, 12380, 264, 5904, 991, 547, 1569, 3758, 3838, 593, 513, 5839, 267, 590, 11586, 270, 5746, 12396, 3758, 4687, 568, 4122, 1031, 269, 11197, 29808, 602, 590, 11586, 4687, 8637, 18538, 568, 513, 1447, 5150, 6752, 982, 589, 17025, 4687, 543, 4896, 609, 1062, 1569, 666, 2744, 1569, 547, 519, 10957, 585, 602, 2272, 269, 1879, 4687, 609, 590, 11586, 267, 1142, 3593, 602, 786, 1569, 519, 5839, 1590, 723, 590, 11586, 13087, 563, 3528, 771, 29058, 3758, 4687, 267, 519, 6552, 4323, 2627, 543, 1981, 540, 18977, 1569, 547, 6119, 6740, 593, 519, 1062, 568, 4389, 563, 17572, 19457, 666, 581, 1031, 547, 2671, 6054, 609, 824, 3755, 855, 2182, 2989, 13763, 1058, 581, 1031, 2864, 982, 3593, 1439, 9557, 269, 5695, 940, 593, 3758, 4687, 4679, 519, 15287, 543, 4323, 2627, 540, 513, 1062, 11032, 947, 3320, 563, 11405, 8110, 845, 519, 1739, 547, 771, 762, 11711, 19457, 912, 15411, 3590, 2776, 325, 3720, 454, 4462, 13765, 11711, 19457, 454, 305, 684, 519, 1739, 4971, 547, 771, 762, 1312, 589, 17025, 543, 590, 11586, 3758, 4687, 912, 259, 521, 30186, 10131, 551, 331, 796, 2903, 910, 342, 1315, 21902, 13624, 3869, 13624, 320, 4875, 291, 320, 655, 976, 270, 1260, 269, 20625, 6993, 653, 548, 17572, 306, 13996, 269, 680, 626, 454, 259, 521, 30186, 10131, 551, 331, 796, 2903, 910, 342, 1315, 21902, 13624, 3869, 13624, 320, 4875, 291, 320, 655, 976, 270, 1260, 269, 20625, 4732, 3387, 323, 269, 680, 626 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 29791, 547, 2661, 1357, 4751, 281, 5291, 2517, 338, 4732, 328, 12975, 270, 273, 334, 303, 11803, 326, 272, 454, 763, 9947, 334, 11497, 3438, 779, 5692, 568, 547, 1174, 519, 5169, 543, 4720, 540, 17254, 4842, 18347, 269, 1306, 621, 25057, 519, 4541, 267, 9947, 334, 786, 2263, 519, 5888, 543, 2497, 540, 18347, 779, 6422, 5790, 267, 519, 2470, 540, 922, 27811, 4295, 267, 543, 519, 4162, 540, 922, 11275, 14459, 543, 6505, 28050, 23768, 269, 8845, 12157, 2023, 267, 519, 9030, 31375, 585, 9947, 334, 267, 786, 3391, 721, 998, 519, 14361, 779, 3460, 607, 621, 10741, 513, 6885, 593, 18347, 779, 1279, 13463, 671, 11580, 563, 763, 10289, 6611, 15872, 616, 1500, 2009, 676, 519, 21464, 1489, 540, 589, 3266, 27826, 9412, 564, 11276, 928, 543, 2136, 32374, 19137, 563, 15862, 5491, 281, 8331, 32434, 12195, 4211, 531, 27700 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 13823, 2563, 10789, 585, 5441, 4841, 630, 278, 628, 9990, 2020, 332, 15871, 7445, 2765, 346, 272, 2410, 274, 21456, 763, 1079, 2798, 6825, 593, 519, 1899, 616, 11196, 274, 267, 272, 264, 543, 630, 274, 16427, 272, 264, 544, 284, 7445, 2765, 26635, 318, 273, 3917, 318, 272, 2410, 343, 318, 273, 14870, 318, 272, 4151, 544, 284, 7445, 2765, 24877, 272, 268, 272, 2410, 274, 268, 8987, 274, 264, 4151, 544, 284, 7445, 2765, 24877, 273, 2410, 274, 266, 274, 4151, 544, 284, 7445, 2765, 24877, 273, 2410, 277, 4151, 544, 15871, 7445, 2765, 346, 273, 2410, 277, 4151, 544, 15871, 7445, 2765, 346, 272, 2410, 274, 4151 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1432, 568, 606, 26700, 1524, 2243, 1665, 1572, 538, 5053, 888, 1103, 5053, 267, 519, 26700, 1524, 2243, 1665, 630, 382, 379, 264, 568, 1031, 693, 519, 4098, 540, 782, 2055, 543, 23827, 894, 21291, 563, 2690, 1383, 281, 2485, 379, 290, 6759, 15879, 751, 561, 4594, 553, 286, 563, 3963, 798, 789, 946, 1079, 2243, 7436, 538, 5053, 888, 1103, 23882, 2705, 267, 968, 5979, 598, 665, 525, 892, 568, 1114, 689, 968, 382, 379, 5979, 598, 665, 525, 286, 5608, 596, 723, 547, 1118, 519, 2243, 3159, 538, 1931, 585, 621, 547, 581, 2243, 267, 799, 568, 1946, 649, 723, 1079, 2243, 7436, 267, 649, 723, 547, 917, 950, 513, 2243, 5956, 538, 1931, 547, 1118, 519, 1697, 3159, 543, 1174, 1018, 568, 1373, 1767, 269, 2560, 13262, 267, 2864, 982, 3159, 563, 1432, 798, 1079, 26700, 1524, 2243, 7436, 1611, 888, 1103, 30062, 18685, 971, 607, 26700, 16365, 2243, 7436, 610, 608, 17474, 2798, 616, 1336, 538, 519, 4654, 540, 8050, 543, 5824, 1977, 5053, 269, 901, 18685, 7436, 519, 4098, 540, 23827, 894, 610, 608, 743, 600, 2218, 5220, 610, 21291, 543, 568, 8272, 549, 1042, 693, 519, 1439, 609, 3044, 18685, 563, 3674, 621, 678, 8775, 547, 946, 2789, 2243, 7436, 888, 5472, 596, 991, 568, 513, 2582, 2243, 1665, 547, 5815, 602, 519, 4845, 621, 29349, 568, 606, 954, 690, 2218, 269, 1403, 596, 2461, 1210, 2789, 2243, 7436, 538, 513, 1257, 610, 4757, 267, 621, 779, 899, 1603, 538, 782, 11503, 269, 769, 602, 2796, 621, 1223, 581, 2901, 791, 565, 924, 610, 14973, 267, 4470, 593, 2796, 269, 12344, 596, 1522, 12172, 609, 606, 900, 334, 10202, 563, 1432, 798, 2789, 2243, 7436, 1611, 538, 1257, 888, 8072, 547, 2769, 19039, 10539, 610, 771, 10964, 3971, 269, 589, 2582, 2243, 1665, 568, 585, 6998, 513, 2243, 282, 2789, 2243, 7436, 267, 610, 2789, 2243, 7436, 2059, 609, 608, 17474, 2798, 616, 585, 11589, 10539, 563, 3963, 616, 5053, 2243, 7436, 26700, 1524, 888, 763, 26700, 1524, 2243, 1665, 630, 382, 379, 264, 568, 513, 18685, 1665, 602, 568, 3044, 538, 5053, 269, 2560, 2334, 568, 3274, 1697, 5053, 18685, 269, 898, 2636, 513, 5467, 547, 917, 519, 1739, 3948, 568, 513, 2243, 269, 634, 1482, 4422, 585, 519, 608, 17474, 1448, 1317, 621, 2636, 519, 5467, 917, 602, 519, 14232, 3948, 568, 606, 608, 17474, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31333, 984, 7315, 890, 22701, 856, 689, 519, 8304, 5556, 570, 18365, 1564, 563, 763, 15090, 3149, 540, 12794, 7043, 7345, 563, 8867, 3058, 519, 25310, 1031, 1282, 519, 10476, 2112, 563, 10521, 2367, 12902, 856, 519, 7573, 13000, 563, 295, 320, 7043, 7345, 563, 13981, 547, 17774, 563, 5353, 600, 639, 896, 519, 2666, 538, 519, 25310, 1031, 538, 519, 10476, 2112, 563, 290, 27019, 7491, 1031, 547, 1118, 1426, 563, 6624, 1453, 8600, 17310, 31496, 563, 763, 838, 1731, 344, 3165, 563, 763, 2164, 540, 30148, 2695, 573, 10068, 563, 288, 10518, 540, 598, 673, 22970, 563, 5353, 600, 639, 6028, 519, 2112, 25310, 563, 300, 1737, 327, 321, 327, 538, 519, 13675, 540, 519, 25310, 1031, 538, 519, 2112, 563, 763, 14208, 15616, 3687, 327, 544, 9476, 1961, 636, 563, 288, 1279, 2777, 1031, 676, 2757, 1004, 563, 763, 5614, 20061, 649, 1500, 563, 293, 9879, 1216, 12470, 1115, 563, 2304, 21572, 585, 519, 25310, 24320, 2213, 607, 513, 2165, 924, 544, 895, 563, 300, 1737, 327, 321, 327, 6932, 689, 8304, 5556, 570, 18365, 1564, 563, 4002, 519, 16064, 540, 519, 10935, 538, 12794, 7043, 7345, 563, 310, 7701, 6932, 689, 8304, 5556, 570, 18365, 1564, 563, 763, 575, 784, 693, 519, 1216, 12470, 564, 1397, 563, 763, 16115, 540, 23038, 563, 288, 5728, 13675, 547, 519, 8304, 5556, 25310, 563, 295, 334, 15616, 3687, 327, 5070, 1023, 563, 16954, 6244, 7573, 737, 1716, 1564, 1373, 5423, 585, 13000, 563, 307, 4669, 956, 602, 616, 11751, 543, 1305, 1863, 538, 713, 11432, 3544, 513, 11454, 563, 288, 1216, 12470, 564, 15831, 563, 10521, 2367, 28817, 3905, 7573, 737, 1716, 1564, 563, 763, 29055, 595, 2314, 563, 2304, 1977, 7077, 1031, 538, 519, 10476, 2112, 563, 763, 6968, 540, 519, 1216, 12470, 564, 30159, 563, 288, 4807, 12902, 856, 7573, 4574, 1210, 513, 16536, 5066, 563, 763, 3803, 1587, 1107, 7573, 13000, 563, 763, 5757, 2344, 563, 18600, 17707, 3952, 2016, 547, 519, 3751, 563, 763, 5835, 19289, 1031, 585, 11401, 676, 14208, 15616, 3687, 327, 563, 295, 4575, 538, 519, 29055, 595, 2314, 563, 288, 4807, 1818, 7573, 1957, 563, 291, 11538, 7573, 4574, 563, 288, 18533, 540, 14208, 15616, 3687, 327, 563, 2304, 11895, 12062, 1031, 1282, 519, 2112, 563, 15152, 606, 2895, 538, 12794, 7043, 7345, 563, 288, 2757, 2893, 322, 3559, 693, 519, 9754, 563, 288, 12285, 3529, 563, 5472, 9708, 1644, 547, 10476, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3240, 8217, 815, 18358, 320, 12887, 321, 12887, 322, 12887, 321, 12887, 323, 12887, 332, 12887, 333, 12887, 333, 262, 6540, 706, 27289, 815, 11713, 1721, 1775, 538, 1250, 8217, 912, 825, 952, 1250, 8217, 29644, 9217, 264, 285, 284, 273, 912, 1038, 1820, 9217, 994, 1038, 5918, 27289, 6910, 9217, 2020, 2745, 263, 706, 27289, 2020, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 7089, 10658, 26072, 5999, 692, 304, 1384, 8340, 519, 7508, 7089, 2496, 1692, 26042, 278, 265, 277, 815, 476, 275, 476, 273, 454, 280, 265, 280, 815, 476, 279, 476, 272, 454, 276, 265, 274, 815, 476, 272, 476, 276, 454, 277, 265, 273, 815, 476, 272, 476, 273, 692, 20428, 281, 7089, 10658, 26072, 692, 15836, 2918, 454, 304, 1384, 589, 264, 476, 3445, 645, 264, 476, 6321, 595, 264, 476, 4097, 667, 264, 476, 10441, 692, 15008, 1384, 2026, 596, 1847, 1524, 267, 519, 2338, 2099, 23385, 540, 476, 1321, 267, 11357, 339, 24219, 476, 272, 585, 519, 1101, 1900, 267, 32061, 476, 273, 585, 519, 2034, 267, 18946, 476, 274, 585, 519, 3791, 267, 4946, 476, 275, 585, 519, 1985, 28341, 269, 624, 692, 293, 6150, 7201, 281, 7089, 10658, 26072, 692, 6246, 476, 14093, 6349, 454, 304, 1384, 4692, 596, 6582, 476, 280, 27766, 910, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 543, 476, 280, 1496, 6748, 1142, 1003, 1968, 1175, 2899, 316, 1657, 543, 2630, 513, 6498, 1899, 267, 547, 1711, 513, 6824, 1226, 2718, 547, 476, 272, 270, 274, 1496, 821, 3791, 316, 2496, 7445, 514, 1467, 1422, 2765, 346, 6812, 274, 273, 2410, 14690, 9834, 18098, 2765, 346, 272, 2410, 274, 10592, 20428, 281, 7089, 10658, 26072, 692, 6812, 273, 279, 454, 304, 1384, 589, 264, 476, 272, 645, 264, 476, 278, 595, 264, 476, 274, 667, 264, 476, 280, 692, 15008, 1384, 1103, 1142, 10126, 540, 519, 5858, 267, 9062, 519, 9018, 1079, 2338, 1927, 543, 10208, 519, 2040, 540, 519, 9018, 1079, 2338, 538, 519, 6587, 10126, 547, 2285, 519, 1871, 538, 519, 1109, 6418, 15454, 10126, 692, 293, 6150, 7201, 281, 7089, 10658, 26072, 692, 1724, 476, 29575, 272, 454, 304, 1384, 589, 264, 476, 1556, 645, 264, 476, 2420, 595, 264, 476, 3451, 667, 264, 476, 3953, 692, 15008, 1384, 11754, 1927, 2418, 538, 7222, 7158, 540, 519, 1283, 1079, 22613, 267, 543, 2322, 519, 1267, 538, 519, 2539, 2451, 3444, 780, 24280, 519, 3017, 1063, 2418, 538, 7222, 7158, 540, 519, 1283, 1079, 22613, 267, 543, 2322, 519, 1267, 538, 519, 2539, 1318, 3444, 780, 7661, 1039, 1927, 519, 2418, 538, 7222, 7158, 540, 519, 2539, 1079, 22613, 547, 2285, 519, 2418, 538, 519, 3844, 3444, 692, 293, 6150, 7201, 281, 7089, 10658, 26072, 692, 1789, 476, 3374, 279, 280, 454, 304, 1384, 24169, 519, 31932, 7089, 10658, 14794, 26042, 763, 4341, 4553, 1934, 568, 692, 278, 1341, 476, 274, 910, 476, 275, 815, 476, 277, 692, 20118, 10484, 275, 1341, 476, 273, 910, 476, 273, 815, 476, 275, 692, 280, 1341, 476, 276, 910, 476, 275, 815, 476, 1015, 692, 17798, 267, 519, 7508, 2338, 616, 476, 275, 1299, 476, 1015, 780, 20428, 281, 7089, 10658, 26072, 11929, 16721, 281, 717, 12442, 2073, 29640, 2073, 7813, 1401, 4461, 2073, 3642, 18501, 454, 297, 984, 10020, 281, 7813, 18161, 2073, 7813, 1849, 17064, 692, 27628, 273, 454, 304, 1384, 1432, 6310, 3090, 666, 581, 5116, 1063, 476, 276, 543, 476, 280, 267, 547, 1205, 513, 1297, 3152, 982, 476, 276, 543, 4130, 982, 476, 280, 2496, 20657, 2711, 1448, 1496, 328, 4318, 267, 476, 276, 269, 280, 6540, 20428, 281, 7089, 10658, 26072, 692, 27420, 280, 454, 304, 1384, 589, 264, 476, 3393, 645, 264, 476, 4097, 595, 264, 476, 6246, 667, 264, 476, 7918 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9741, 2098, 4673, 6068, 3695, 1200, 1158, 269, 2290, 1554, 267, 1352, 1336, 513, 7452, 344, 2025, 1433, 538, 519, 1140, 545, 269, 2701, 3576, 621, 547, 1200, 3659, 5484, 945, 729, 2141, 8049, 827, 1007, 1919, 269, 1358, 8118, 519, 1433, 1927, 543, 4718, 3515, 540, 1913, 4881, 883, 1142, 824, 1510, 1022, 9397, 256, 898, 6743, 1360, 14845, 780, 13051, 1767, 267, 834, 313, 4673, 267, 1413, 256, 1703, 616, 1100, 5624, 1063, 891, 1913, 269, 1215, 666, 649, 1174, 1018, 789, 1611, 8119, 2098, 4673, 2219, 585, 513, 4090, 543, 1287, 3893, 606, 2856, 269, 834, 4131, 781, 27642, 649, 2811, 3713, 1161, 2437, 1352, 6700, 31113, 267, 834, 325, 4193, 10881, 610, 1412, 6919, 262, 6456, 538, 713, 795, 14217, 3190, 15323, 5445, 3323, 2542, 16965, 267, 3843, 547, 4137, 856, 1141, 835, 2262, 8694, 543, 1776, 3459, 269, 3689, 267, 789, 4857, 2582, 5022, 910, 834, 307, 2580, 834, 295, 2580, 834, 292, 2668, 3973, 267, 7444, 267, 811, 6209, 10659, 7902, 910, 834, 13906, 2580, 834, 27594, 2580, 834, 332, 3019, 2668, 2991, 930, 942, 267, 789, 7307, 547, 21264, 1034, 540, 519, 2985, 780, 2026, 789, 4797, 267, 789, 7691, 875, 1271, 1346, 2370, 5624, 941, 282, 789, 1500, 782, 519, 3017, 1063, 14784, 543, 9355, 269, 901, 18056, 2098, 4673, 540, 1945, 1352, 4121, 1282, 741, 2487, 3643, 547, 519, 4541, 10740, 269, 834, 9617, 899, 875, 6263, 5536, 2097, 1927, 8108, 6801, 543, 10785, 2437, 1352, 1660, 539, 267, 834, 24393, 1106, 1913, 799, 1711, 2984, 3010, 306, 19488, 267, 5484, 8068, 1945, 9490, 2509, 519, 1439, 540, 519, 2985, 269, 6736, 741, 1655, 3646, 267, 519, 2063, 1906, 3515, 7283, 15458, 269, 3143, 2339, 875, 2182, 789, 6836, 267, 519, 2495, 1714, 24231, 873, 269, 2334, 781, 950, 2098, 4673, 1185, 606, 6397, 20185, 269, 6884, 267, 1256, 1310, 3257, 938, 1655, 267, 972, 1522, 1869, 581, 2694, 540, 1272, 649, 1810, 1405, 4628, 10146, 269, 1809, 602, 12582, 1405, 3247, 721, 689, 1565, 267, 3395, 267, 543, 19825, 519, 5898, 540, 1702, 1472, 721, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 8923, 1039, 5624, 1063, 1913, 281, 2271, 515, 2181, 2183, 21510, 515, 1504, 301, 777, 328, 699, 343, 680, 1622, 7290, 327, 9722, 2041, 16442, 20130, 24030, 4134, 11734, 263, 933, 638, 582, 1030, 668, 1492, 12626, 10520, 3175, 1993, 14065, 277, 21510, 515, 13092, 31142, 1993, 14065, 275, 2187, 2414, 1039, 5624, 1063, 1913, 267, 594, 786, 2697, 1367, 1913, 543, 7696, 513, 2230, 1063, 873, 269, 594, 3513, 1376, 676, 3168, 585, 1913, 602, 1118, 2631, 2687, 547, 519, 21342, 2796, 269, 3371, 781, 1250, 1900, 8386, 9912, 1184, 1384, 272, 269, 10576, 519, 1101, 2262, 281, 834, 1103, 257, 9890, 769, 454, 273, 269, 10576, 519, 1985, 2262, 834, 1492, 2181, 2183, 21510, 515, 1504, 257, 9890, 519, 454, 274, 269, 15566, 7114, 1913, 267, 1818, 2386, 789, 616, 17396, 281, 840, 2183, 267, 540, 267, 519, 267, 1433, 454, 275, 269, 1160, 3865, 609, 519, 1964, 540, 519, 4845, 281, 13845, 1512, 267, 6941, 267, 1010, 267, 3206, 267, 3297, 267, 1010, 267, 1390, 267, 6602, 454, 276, 269, 6987, 847, 519, 20926, 1257, 543, 3898, 621, 2687, 547, 519, 3312, 2796, 281, 630, 933, 10839, 689, 519, 2296, 8144, 540, 476, 14065, 277, 540, 519, 3312, 5824, 540, 476, 14065, 275, 2020, 5475, 1739, 519, 3268, 5018, 1657, 267, 594, 723, 3773, 5624, 1063, 1913, 543, 1934, 781, 519, 1267, 1384, 1103, 519, 840, 2183, 540, 519, 1433, 267, 13845, 1512, 6941, 1010, 3206, 3297, 1010, 1390, 1167, 990, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18411, 326, 1132, 560, 1156, 3784, 18258, 692, 1607, 1982, 13071, 519, 3593, 1404, 1996, 519, 2780, 454, 663, 7058, 513, 4351, 1297, 1063, 476, 272, 543, 476, 1015, 563, 18257, 692, 5814, 19523, 454, 5814, 4351, 692, 3698, 7058, 763, 10831, 10031, 825, 1820, 2891, 8702, 547, 2871, 612, 519, 7089, 32405, 825, 1820, 2891, 2521, 547, 4137, 856, 1018, 519, 5728, 1297, 568, 10590, 2020, 825, 1247, 6936, 912, 1038, 5728, 10831, 815, 4351, 27110, 263, 272, 267, 476, 1015, 994, 1038, 7058, 525, 815, 1305, 10797, 1038, 1247, 7003, 263, 29674, 525, 264, 2999, 476, 276, 912, 2018, 2119, 912, 3546, 1820, 4590, 3546, 7058, 815, 703, 9272, 2891, 10817, 612, 513, 1297, 1063, 476, 272, 543, 476, 1015, 281, 27328, 2018, 4849, 28759, 912, 3546, 1820, 2891, 24001, 568, 711, 513, 1297, 256, 2668, 8971, 263, 29674, 4917, 2018, 3116, 912, 3546, 952, 7058, 538, 7058, 525, 912, 7386, 1820, 2891, 2791, 2907, 31665, 602, 1297, 32405, 3546, 8640, 7058, 2999, 5728, 10831, 912, 7386, 1820, 2891, 7069, 1297, 568, 2362, 982, 15079, 1701, 269, 8971, 263, 29674, 4917, 3546, 8640, 7058, 3436, 5728, 10831, 912, 7386, 1820, 2891, 7069, 1297, 568, 2539, 982, 15079, 1701, 269, 8971, 263, 29674, 4917, 3546, 3116, 912, 7386, 1820, 2891, 2791, 3893, 621, 256, 3733, 1297, 729, 15079, 1701, 269, 8971, 263, 572, 4038, 10831, 4917, 7386, 1820, 4590, 7386, 2736, 454, 3546, 7058, 525, 14491, 263, 29674, 994, 1038, 3116, 912, 2018, 1820, 4590, 2018, 1820, 2891, 28989, 267, 596, 4503, 269, 3733, 1297, 729, 15079, 1701, 269, 8971, 263, 572, 4038, 10831, 4917, 2018, 1820, 10797, 1038, 1404, 26139, 815, 3403, 2891, 25898, 596, 899, 547, 1404, 1586, 286, 962, 21610, 281, 19515, 1038, 952, 1404, 26139, 31573, 3890, 2652, 1412, 333, 12466, 2018, 1820, 2891, 302, 330, 267, 676, 324, 32405, 2018, 2736, 692, 29674, 763, 10831, 10797, 338, 903, 20216, 527, 263, 271, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 4569, 476, 13136, 267, 8791, 476, 10711, 1765, 29094, 1948, 275, 692, 3499, 13043, 476, 13136, 267, 8791, 476, 10711, 1765, 29094, 1948, 275, 454, 16746, 538, 1362, 13628, 267, 5988, 476, 1724, 267, 476, 1220, 274, 454, 8855, 602, 782, 540, 707, 3435, 1590, 581, 2854, 538, 2347, 5220, 602, 616, 2653, 454, 1729, 1224, 543, 538, 25401, 2953, 1931, 563, 296, 269, 667, 685, 17951, 601, 334, 543, 4639, 267, 533, 269, 476, 2190, 267, 1948, 272, 269, 5379, 454, 2862, 269, 667, 685, 17951, 601, 334, 543, 4639, 267, 533, 269, 476, 2190, 267, 1948, 272, 269, 5392, 454, 7656, 269, 667, 685, 17951, 601, 334, 543, 4639, 267, 533, 269, 476, 2190, 267, 1948, 272, 269, 2004, 454, 4353, 269, 667, 685, 17951, 601, 334, 543, 4639, 267, 533, 269, 476, 2190, 267, 1948, 272, 269, 7906, 269, 630, 4322, 5036, 616, 1572, 11201, 2592, 543, 616, 5941, 513, 3787, 2417, 593, 2985, 476, 1691, 8094, 309, 269, 14419, 799, 6898, 2630, 616, 3020, 269, 1403, 3020, 267, 1683, 513, 6169, 282, 952, 7301, 267, 1683, 513, 1293, 699, 343, 2217, 563, 5416, 264, 1403, 535, 2433, 681, 9890, 681, 543, 575, 2433, 681, 9890, 681, 616, 2810, 3252, 267, 1287, 519, 1599, 535, 1341, 575, 454, 529, 2810, 563, 6357, 264, 1403, 535, 2433, 681, 9890, 681, 543, 575, 2433, 681, 9890, 681, 616, 2810, 3252, 267, 1287, 519, 1599, 535, 575, 568, 454, 27463, 2084, 563, 6262, 264, 1403, 535, 2433, 1496, 271, 267, 3980, 508, 264, 9890, 681, 543, 575, 2433, 1496, 271, 267, 3980, 508, 264, 9890, 681, 616, 2810, 3252, 267, 1287, 519, 1599, 535, 575, 568, 2810, 563, 9654, 269, 2913, 670, 815, 2715, 1535, 17995, 681, 2433, 476, 272, 270, 1535, 17995, 715, 20467, 28171, 602, 670, 2340, 488, 484, 630, 271, 267, 476, 272, 316, 855, 670, 476, 277, 414, 488, 484, 1496, 339, 267, 476, 272, 316, 585, 1022, 2318, 454, 9418, 1297, 512, 563, 23997, 269, 630, 320, 264, 2913, 590, 272, 815, 2715, 1535, 17995, 681, 2433, 1535, 333, 18016, 1535, 585, 1169, 562, 17995, 715, 20467, 28171, 602, 590, 272, 815, 1496, 271, 267, 476, 272, 4940, 630, 10673, 1406, 454, 10864, 937, 2942, 2338, 1535, 26695, 6357, 264, 2913, 590, 273, 815, 2715, 1535, 17995, 681, 2433, 1535, 333, 21759, 1535, 585, 1169, 562, 17995, 715, 20467, 4855, 630, 5976, 6169, 264, 513, 2241, 454, 10339, 1833, 585, 590, 273, 538, 2474, 540, 11996, 563, 6262, 264, 28171, 602, 585, 782, 1483, 2338, 1535, 267, 952, 630, 1535, 11277, 6567, 1535, 7565, 1535, 14862, 6567, 1535, 264, 1299, 2741, 282, 476, 271, 1287, 1535, 1299, 2741, 282, 6567, 272, 563, 3499 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 12163, 1607, 9074, 814, 519, 2139, 306, 4721, 9638, 817, 10152, 15575, 2567, 1505, 454, 20701, 5814, 13668, 7531, 3698, 1205, 12774, 263, 14766, 2187, 825, 8173, 825, 901, 1505, 2132, 782, 1239, 454, 825, 8173, 825, 1239, 815, 13668, 10947, 263, 14766, 994, 825, 1239, 815, 1239, 12459, 5459, 4590, 825, 2132, 1239, 7531, 3698, 2139, 306, 4721, 9638, 817, 10152, 15575, 2187, 825, 8173, 825, 713, 1505, 7024, 519, 1592, 540, 9635, 602, 666, 3180, 513, 2016, 454, 825, 1297, 540, 15915, 689, 4210, 777, 328, 16286, 454, 825, 8173, 825, 1239, 815, 1205, 12774, 3488, 10059, 2517, 1873, 777, 328, 268, 777, 328, 19544, 23336, 333, 269, 1470, 270, 777, 328, 23995, 1513, 4721, 270, 5073, 825, 2139, 5334, 4721, 815, 11713, 825, 1247, 1239, 14277, 10113, 257, 14158, 1038, 585, 6928, 538, 1239, 14277, 29798, 257, 14158, 2018, 18213, 815, 6928, 14277, 10139, 12310, 257, 4940, 516, 2897, 2891, 2437, 267, 834, 5602, 2018, 952, 18213, 18994, 333, 10179, 545, 10031, 3546, 562, 7272, 817, 12310, 815, 703, 9638, 817, 10152, 994, 3546, 952, 562, 7272, 817, 12310, 13843, 18213, 15575, 912, 7386, 2139, 5334, 4721, 6910, 4433, 1222, 14277, 4067, 257, 7481, 1038, 1239, 815, 1205, 12774, 16597, 14277, 10113, 257, 7481, 825, 2132, 2139, 5334, 4721, 454 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12867, 538, 15990, 723, 2919, 513, 2960, 15429, 602, 666, 2268, 6084, 712, 2450, 538, 8983, 543, 6494, 519, 1239, 547, 513, 16335, 563, 763, 1353, 267, 689, 519, 2817, 17578, 532, 670, 7699, 2160, 630, 301, 8025, 308, 264, 543, 12872, 701, 328, 6481, 2160, 267, 8214, 956, 519, 991, 267, 538, 2860, 2126, 267, 585, 2834, 5464, 540, 6084, 2293, 538, 2550, 18460, 3797, 267, 609, 2757, 2409, 899, 19182, 3674, 1419, 1373, 811, 28842, 1304, 543, 12362, 563, 763, 3173, 2966, 513, 12701, 762, 267, 23287, 2960, 15429, 29689, 609, 20543, 269, 1879, 713, 729, 4294, 547, 519, 2960, 540, 8983, 1107, 1657, 513, 6084, 712, 3395, 1175, 2630, 519, 2960, 779, 2627, 1107, 519, 5122, 3601, 540, 519, 15429, 4957, 538, 3210, 547, 6084, 712, 2208, 267, 3246, 1483, 6066, 2450, 7403, 3842, 513, 16335, 813, 563, 763, 5499, 2029, 786, 1450, 811, 5730, 12557, 585, 5574, 267, 811, 4977, 13121, 1137, 267, 543, 1732, 4879, 540, 519, 7145, 540, 519, 2126, 563, 763, 3312, 1353, 729, 3370, 538, 589, 5425, 30594, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 513, 1507, 4884, 3957, 2233, 16780, 564, 1144, 267, 5030, 1079, 1655, 2828, 267, 15207, 519, 570, 514, 651, 17243, 543, 15576, 773, 519, 30985, 269, 1358, 6068, 3695, 1007, 19269, 543, 18563, 1927, 256, 2290, 1554, 267, 789, 1336, 513, 21743, 1007, 623, 4875, 15484, 693, 6004, 269, 13053, 781, 6300, 269, 898, 6743, 9735, 910, 1134, 3710, 543, 23182, 8737, 267, 5667, 920, 9405, 883, 1614, 2653, 3562, 268, 30236, 2694, 269, 1809, 1945, 729, 1055, 282, 621, 4769, 1405, 960, 3833, 1318, 780, 20755, 3240, 543, 15576, 773, 3576, 7140, 3843, 547, 1118, 621, 24362, 9475, 538, 1957, 269, 1677, 741, 9983, 267, 621, 5249, 1152, 2899, 856, 540, 2947, 2053, 256, 5272, 8959, 3801, 2838, 17666, 519, 24362, 9133, 267, 4466, 519, 3077, 782, 936, 1586, 269, 674, 745, 1598, 730, 2943, 27278, 267, 789, 5941, 1018, 1500, 930, 8942, 3811, 1247, 1866, 14201, 1405, 780, 298, 520, 773, 4280, 267, 834, 3963, 1281, 938, 623, 4875, 15484, 3006, 3111, 8119, 15207, 2219, 16965, 267, 834, 28646, 621, 814, 1945, 547, 798, 609, 875, 2182, 649, 2046, 610, 519, 5086, 649, 946, 1701, 27837, 676, 741, 3621, 7279, 267, 789, 4956, 547, 8495, 2417, 269, 2991, 1896, 4255, 267, 9236, 4229, 4294, 543, 7285, 1031, 267, 789, 4362, 606, 4277, 4806, 1644, 547, 922, 24081, 1890, 780, 5445, 3838, 741, 4681, 31113, 609, 6004, 269, 13053, 267, 945, 26916, 741, 8343, 1983, 269, 10251, 267, 646, 849, 9672, 741, 27421, 1107, 519, 1907, 1185, 606, 3390, 1369, 922, 4835, 7271, 4929, 31877, 2773, 269, 4014, 25922, 267, 1312, 3214, 4121, 3407, 4245, 827, 1966, 8446, 543, 4879, 267, 16734, 1256, 10694, 15004, 1522, 12404, 5817, 2152, 269, 6884, 267, 1919, 5749, 1405, 607, 6325, 607, 789, 3100, 267, 1100, 2339, 875, 1134, 9112, 269, 1656, 602, 781, 15502, 1317, 5821, 533, 2314, 519, 1259, 585, 1732, 1620, 543, 4824, 3435, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 9223, 281, 7170, 281, 4270, 3710, 267, 1281, 711, 960, 28761, 5623, 281, 901, 24362, 568, 23182, 8737, 267, 519, 1560, 5667, 920, 9749, 883, 1614, 2694, 865, 596, 666, 771, 553, 14517, 621, 3362, 269, 4913, 267, 519, 4835, 7271, 29598, 547, 2285, 513, 24362, 1152, 827, 835, 942, 856, 540, 2947, 269, 1411, 1590, 12740, 519, 24362, 9133, 689, 519, 2627, 596, 616, 5309, 4221, 538, 1931, 547, 2119, 1586, 267, 865, 596, 723, 547, 1201, 785, 707, 3077, 593, 1142, 5309, 4221, 3801, 269, 1772, 519, 2689, 2318, 610, 2942, 888, 12585, 912, 3721, 476, 272, 281, 10576, 2609, 538, 519, 2689, 602, 5815, 519, 3593, 781, 6644, 692, 268, 834, 11039, 3710, 257, 543, 834, 333, 823, 569, 8737, 257, 616, 2318, 6898, 267, 31552, 1434, 4070, 543, 9096, 563, 268, 834, 323, 3996, 711, 960, 28761, 257, 568, 513, 2942, 13525, 267, 11021, 602, 519, 24362, 14543, 547, 1599, 9846, 563, 268, 634, 2689, 12909, 827, 519, 3926, 17596, 547, 581, 1065, 3789, 539, 1169, 942, 609, 513, 1970, 1967, 2557, 267, 799, 6920, 27025, 8351, 543, 666, 581, 2808, 2942, 780, 3721, 476, 273, 281, 8178, 519, 2949, 3159, 540, 519, 2689, 692, 3086, 602, 649, 723, 4857, 519, 1883, 2609, 602, 3565, 547, 519, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 28270, 5055, 3893, 1434, 9344, 538, 1153, 1247, 31929, 1705, 660, 2731, 1416, 585, 1153, 269, 9041, 476, 4769, 1405, 1205, 513, 14172, 563, 271, 269, 28270, 5055, 454, 272, 269, 31929, 454, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2005, 814, 1044, 811, 982, 513, 3923, 1310, 519, 2442, 8917, 540, 6601, 343, 527, 538, 519, 2136, 8003, 630, 20084, 264, 6410, 547, 1033, 778, 519, 2197, 689, 519, 3864, 5742, 630, 31323, 1040, 6601, 343, 527, 5540, 1082, 3344, 267, 1519, 2916, 1689, 269, 634, 25564, 2904, 267, 1715, 5177, 11788, 10579, 4956, 547, 13373, 880, 519, 5177, 779, 2916, 1689, 8257, 267, 7616, 585, 930, 5916, 3002, 543, 1379, 14565, 568, 2759, 609, 1175, 1614, 4374, 262, 5469, 267, 4929, 30891, 1851, 519, 7791, 1648, 2872, 543, 6705, 269, 634, 3375, 568, 5732, 513, 2101, 9419, 978, 8565, 585, 2916, 607, 513, 2229, 10862, 269, 769, 1279, 3856, 1974, 267, 621, 786, 581, 513, 9568, 585, 519, 2916, 267, 1312, 2168, 543, 2797, 267, 593, 1312, 5011, 540, 519, 9533, 563, 763, 2916, 3350, 568, 4397, 547, 3500, 6825, 569, 269, 4107, 6654, 616, 782, 540, 519, 1463, 5222, 786, 723, 593, 2825, 4507, 30739, 269, 6601, 343, 924, 619, 1810, 1405, 1416, 1454, 585, 519, 11503, 593, 3327, 543, 1863, 6990, 267, 543, 789, 616, 11235, 547, 2759, 998, 519, 9167, 834, 1042, 11746, 257, 540, 2825, 6042, 269, 1937, 560, 267, 1082, 6601, 343, 924, 619, 849, 4755, 547, 20912, 5210, 616, 8375, 693, 782, 267, 4259, 873, 6306, 1256, 689, 570, 800, 635, 10232, 269, 2290, 2487, 1353, 1336, 602, 6601, 343, 527, 17037, 616, 5176, 7466, 607, 2693, 607, 741, 834, 7230, 664, 257, 13413, 547, 20912, 519, 6228, 540, 812, 13402, 2916, 1689, 4534, 609, 1079, 856, 540, 1614, 3206, 519, 2923, 616, 16944, 540, 21179, 908, 3621, 13618, 593, 519, 2339, 269, 2290, 540, 873, 1256, 1572, 2842, 1648, 607, 519, 7887, 7104, 2804, 1202, 534, 640, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 11885, 607, 5286, 454, 5228, 28189, 6155, 21648, 1115, 1104, 4452, 318, 597, 529, 454, 5228, 28189, 269, 15035, 31200, 1104, 3131, 1061, 1258, 692, 597, 529, 815, 4452, 318, 597, 529, 4590, 311, 815, 32640, 21606, 18020, 263, 273, 267, 274, 13580, 1948, 1152, 3442, 3908, 2934, 454, 344, 815, 630, 597, 529, 6745, 13759, 2652, 476, 271, 1040, 770, 4286, 18828, 269, 842, 2020, 258, 19461, 1125, 29976, 454, 743, 325, 815, 3131, 1061, 1258, 4590, 743, 325, 32265, 11583, 11971, 2020, 258, 21414, 2203, 693, 835, 17062, 1448, 454, 344, 28177, 815, 804, 325, 4877, 9438, 31912, 273, 267, 271, 269, 276, 316, 7481, 2745, 2891, 344, 28177, 815, 14307, 586, 28177, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8448, 25927, 725, 540, 476, 272, 15656, 476, 1724, 281, 276, 454, 21914, 6276, 19405, 454, 276, 1656, 519, 5845, 626, 1149, 10356, 2933, 1927, 547, 4339, 609, 5840, 267, 13977, 8536, 669, 926, 1824, 267, 543, 3670, 8536, 7504, 5443, 267, 543, 1004, 607, 519, 5070, 799, 568, 593, 519, 4262, 13272, 538, 21318, 281, 543, 789, 3357, 909, 267, 543, 8486, 3481, 538, 5760, 332, 1662, 267, 7532, 1189, 689, 21861, 13273, 563, 12626, 9208, 19405, 454, 276, 1656, 519, 5845, 626, 1149, 1590, 1229, 547, 4339, 609, 5840, 267, 13977, 8536, 669, 926, 1824, 543, 3670, 8536, 7504, 5443, 543, 10136, 899, 519, 5070, 593, 519, 694, 1662, 648, 538, 21318, 269, 1358, 3357, 909, 543, 1958, 2086, 539, 538, 5760, 332, 1662, 267, 547, 519, 7532, 540, 21861, 268, 13273, 563, 276, 634, 5845, 626, 1149, 678, 718, 1221, 741, 4229, 547, 4339, 5840, 281, 1614, 3549, 540, 669, 926, 1824, 267, 3670, 3549, 540, 29816, 267, 543, 865, 1082, 26462, 789, 6743, 899, 5070, 593, 519, 694, 1662, 648, 269, 1358, 4682, 909, 883, 519, 15113, 543, 1305, 909, 3786, 693, 12130, 332, 1662, 267, 7532, 540, 21861, 589, 1597, 563, 6124, 3751, 6276, 19405, 454, 276, 3973, 519, 5845, 626, 1149, 10356, 1927, 547, 4339, 609, 5840, 267, 13977, 8536, 669, 926, 1824, 543, 3670, 8536, 7504, 5443, 267, 543, 1004, 607, 519, 5070, 799, 568, 593, 519, 694, 1662, 648, 538, 21318, 269, 1656, 789, 3357, 909, 543, 1958, 2086, 539, 538, 5760, 332, 1662, 267, 547, 519, 7532, 540, 21861, 589, 1597, 563, 6124, 12389, 22564, 454, 276, 634, 5845, 626, 1149, 1590, 1229, 513, 22800, 7952, 540, 476, 274, 267, 1822, 669, 926, 1824, 267, 476, 277, 267, 1822, 669, 926, 1774, 619, 267, 543, 607, 1082, 21847, 607, 519, 9274, 540, 5070, 593, 519, 694, 1662, 648, 256, 1358, 3786, 539, 693, 12130, 332, 1662, 7532, 540, 21861, 268, 13273, 563, 31861, 8361, 781, 19410, 776, 593, 476, 272, 15656, 476, 1724, 281, 276, 454, 4467, 29232, 593, 476, 272, 15656, 476, 1724, 281, 272, 268, 278, 454, 263, 5649, 476, 272, 15656, 476, 1724, 281, 272, 268, 278, 994, 306, 4954, 556, 11220, 835, 1032, 267, 543, 4986, 1880, 5949, 282, 855, 538, 1010, 2034, 1032, 519, 2621, 6592, 538, 713, 3184, 3576, 1747, 269, 1280, 1657, 513, 1032, 646, 5795, 519, 5845, 25434, 942, 547, 5965, 585, 2112, 267, 543, 547, 14020, 543, 547, 771, 1301, 519, 25232, 269, 1879, 2367, 616, 24850, 909, 538, 1582, 25252, 11797, 267, 789, 616, 1419, 3366, 883, 1165, 569, 269, 634, 8783, 5383, 540, 519, 14763, 540, 519, 5939, 616, 6508, 689, 519, 13817, 2265, 540, 922, 2024, 539, 2828, 269, 1879, 590, 4954, 693, 3259, 32131, 606, 15372, 267, 519, 1004, 267, 27025, 30829, 609, 1010, 2359, 267, 610, 17512, 1881, 676, 519, 1379, 540, 519, 10546, 267, 1705, 711, 2097, 547, 1864, 267, 610, 3432, 1176, 9390, 539, 1864, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 1215, 1082, 3764, 538, 513, 1554, 2496, 2467, 616, 476, 2190, 3108, 538, 513, 1554, 267, 543, 1142, 5662, 814, 476, 2568, 3764, 269, 1924, 267, 547, 1265, 856, 875, 1082, 3764, 972, 616, 538, 513, 1554, 267, 649, 1175, 991, 547, 9062, 476, 2190, 630, 327, 2293, 264, 676, 476, 2568, 630, 2381, 2373, 829, 5662, 6393, 6546, 3947, 721, 1384, 2190, 3108, 1535, 476, 2568, 3764, 829, 5662, 815, 476, 272, 267, 24496, 3764, 692, 3383, 267, 972, 616, 476, 272, 267, 24496, 3764, 538, 513, 1554, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9377, 20532, 585, 13941, 2361, 454, 305, 24655, 5600, 28732, 781, 5441, 9218, 454, 534, 1858, 540, 2244, 1804, 543, 5347, 2614, 585, 519, 13941, 543, 1491, 4752, 540, 8484, 563, 27670, 540, 13941, 2361, 912, 1515, 7615, 267, 13941, 2361, 267, 10760, 2361, 267, 2361, 3799, 1735, 994, 320, 1747, 1141, 14742, 1491, 1055, 543, 2244, 454, 8196, 519, 11239, 2630, 547, 1039, 713, 4214, 547, 707, 15853, 912, 257, 1633, 532, 2361, 1701, 26479, 14492, 269, 5254, 3198, 9169, 275, 20941, 267, 476, 1001, 274, 269, 5680, 269, 476, 2641, 2904, 476, 1001, 274, 269, 2999, 10674, 2517, 4178, 269, 3698, 20532, 14492, 270, 3698, 6873, 270, 1633, 532, 2361, 20101 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 14854, 454, 258, 26921, 3888, 14854, 630, 9743, 718, 14854, 9226, 9074, 994, 258, 2194, 3888, 9226, 2389, 330, 630, 9743, 718, 14854, 8200, 9074, 2020, 3698, 2721, 5334, 13645, 4433, 727, 4671, 31103, 2187, 22610, 1775, 538, 2039, 263, 272, 267, 276, 2187, 453, 453, 16341, 4671, 31103, 269, 3453, 263, 1911, 994, 453, 453, 16341, 4671, 31103, 16192, 263, 3445, 2020, 3698, 2721, 318, 691, 10031, 453, 30720, 815, 14854, 2529, 10547, 4590, 453, 30720, 12500, 326, 10233, 2891, 18872, 5602, 453, 258, 8620, 519, 14854, 17659, 910, 8571, 338, 513, 13483, 320, 675, 454, 453, 321, 2784, 815, 14854, 11053, 31103, 4590, 453, 321, 2784, 17482, 2891, 339, 31103, 5602, 453, 321, 2784, 269, 10233, 2891, 13582, 5602, 453, 321, 2784, 4732, 32497, 263, 1015, 994, 22610, 1775, 538, 2039, 263, 272, 267, 476, 4391, 2187, 453, 453, 9526, 5334, 13645, 6357, 2784, 994, 453, 453, 321, 2784, 16192, 263, 1015, 994, 453, 30720, 20216, 527, 517, 28781, 10797, 9526, 318, 691, 3890, 28768 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 314, 300, 4306, 288, 9948, 589, 1715, 1975, 514, 593, 674, 9689, 454, 1372, 321, 2004, 323, 684, 4754, 693, 575, 21166, 2593, 454, 12507, 3057, 476, 276, 476, 866, 281, 4905, 281, 4097, 595, 4306, 476, 1001, 273, 454, 288, 1715, 1975, 514, 593, 674, 9689, 589, 8447, 3163, 15331, 23850, 547, 769, 638, 790, 454, 268, 6424, 681, 269, 22911, 29992, 2999, 10674, 2517, 323, 14865, 8573, 2914, 28856, 601, 4732, 340, 924, 6200, 2593, 270, 11417, 314, 13548, 281, 15766, 908, 29079, 674, 9689, 910, 654, 19390, 974, 330, 918, 583, 2643, 320, 316, 15766, 908, 29079, 454, 293, 9689, 910, 2608, 310, 19390, 974, 330, 918, 583, 2643, 320, 20330, 288, 3946, 6823, 1935, 2966, 547, 1683, 948, 1053, 1020, 513, 1732, 454, 24483, 540, 11508, 538, 1312, 4396, 7252, 543, 12862, 1299, 799, 12862, 454, 514, 2850, 5277, 543, 3154, 563, 288, 1007, 8095, 593, 11508, 6212, 593, 15452, 267, 11979, 267, 5714, 267, 543, 2960, 11508, 454, 1729, 948, 1053, 1118, 4296, 609, 713, 3196, 538, 824, 8658, 2676, 13318, 1737, 540, 1152, 1210, 15155, 1186, 610, 6366, 7252, 950, 3450, 713, 1523, 563, 22958, 3320, 267, 3450, 11508, 6212, 593, 6901, 5473, 23510, 610, 454, 7219, 2045, 11508, 2059, 609, 11979, 11508, 267, 607, 1053, 1847, 3615, 936, 454, 29788, 7252, 1210, 513, 3099, 540, 2326, 563, 4913, 267, 972, 616, 1079, 2417, 2010, 540, 11508, 602, 1053, 991, 547, 454, 514, 4034, 580, 622, 269, 1452, 3606, 4229, 616, 1572, 5714, 11508, 543, 2960, 454, 325, 9689, 269, 1452, 1079, 4229, 616, 519, 1267, 540, 3615, 3001, 998, 610, 454, 659, 1484, 513, 5277, 269, 901, 2534, 2488, 3631, 540, 875, 547, 2333, 1053, 454, 24483, 540, 11508, 1210, 5499, 4603, 2553, 563, 268, 2608, 306, 7219, 674, 9689, 265, 1107, 4386, 689, 519, 4187, 540, 513, 5714, 630, 331, 18612, 610, 454, 326, 553, 264, 1996, 519, 2960, 540, 519, 1843, 3001, 998, 519, 5420, 563, 268, 2608, 31880, 573, 674, 9689, 265, 1107, 1572, 8749, 267, 799, 4016, 547, 4229, 540, 4187, 454, 6518, 28586, 519, 5163, 540, 606, 1843, 998, 513, 5714, 630, 331, 18612, 610, 3154, 1916, 5649, 811, 693, 2672, 924, 6200, 281, 589, 1715, 1975, 514, 593, 674, 9689, 281, 589, 8447, 3163, 454, 16987, 2939, 23850, 547, 769, 638, 790, 20553, 18650, 11406, 296, 2661, 538, 1250, 1378, 2370, 1158, 267, 855, 602, 781, 21453, 789, 917, 803, 1934, 563, 5719, 4011, 1695, 30338, 267, 715, 21983, 20899, 6239, 4400, 3427, 454, 1366, 9339, 1985, 851, 28612, 9339, 454, 2304, 14103, 13613, 729, 28103, 5523, 2483, 5415, 1344, 827, 519, 631, 4306, 288 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 763, 1390, 3043, 16356, 568, 827, 476, 736, 3952, 1279, 543, 666, 9260, 909, 547, 476, 4335, 271, 6550, 269, 898, 568, 519, 4102, 1634, 2392, 2218, 3165, 267, 855, 621, 779, 3504, 3448, 267, 519, 803, 6921, 31788, 267, 729, 1454, 3677, 267, 693, 909, 547, 476, 7367, 3952, 1279, 543, 20604, 909, 547, 476, 4366, 9748, 269, 4279, 3043, 16142, 616, 23097, 5387, 3165, 267, 6140, 4189, 3165, 267, 23522, 267, 20910, 543, 4262, 16015, 269, 2552, 9009, 547, 2442, 3661, 267, 519, 1390, 3043, 16356, 568, 711, 513, 9649, 812, 3887, 908, 20599, 734, 514, 1034, 16356, 6285, 602, 2049, 593, 3425, 267, 519, 16356, 814, 19451, 7669, 11302, 543, 17774, 619, 585, 20910, 269, 6258, 811, 827, 713, 4241, 3165, 998, 713, 2143, 1390, 3043, 16356, 14169, 2203, 269, 898, 786, 4324, 1022, 4116, 16462, 547, 723, 513, 3579, 17431, 2203, 547, 4001, 827, 713, 13442, 267, 543, 849, 2337, 856, 519, 2875, 17596, 513, 1434, 3308, 5351, 585, 741, 1788, 593, 16142, 2336, 1607, 25139, 11497, 3438, 568, 1390, 585, 23405, 538, 519, 17651, 4928, 2336, 8196, 713, 6539, 547, 6338, 13590, 3741, 538, 519, 4928, 4259, 2336, 8620, 4190, 1148, 609, 713, 5863, 3141, 1957, 2336, 30395, 707, 1378, 476, 1015, 10759, 25989, 573, 24005, 609, 713, 1390, 6539, 2336, 1607, 9059, 6177, 1219, 625, 8904, 1354, 707, 1360, 4064, 2336, 288, 5905, 540, 7772, 269, 589, 5905, 540, 2257, 269, 8752, 20781, 547, 707, 5905, 543, 547, 519, 2575, 538, 707, 4055, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8080, 547, 938, 3408, 540, 8895, 6509, 1893, 543, 3332, 256, 1411, 1522, 581, 11842, 267, 1141, 568, 8895, 545, 807, 286, 898, 781, 513, 3140, 3148, 602, 21269, 2066, 2413, 6377, 27040, 8050, 543, 7262, 12907, 269, 4653, 267, 649, 786, 1445, 593, 519, 8895, 6509, 1893, 9275, 538, 8050, 543, 3605, 930, 4241, 4296, 609, 824, 4654, 543, 4529, 269, 1924, 1577, 781, 4685, 883, 713, 10409, 7045, 1927, 2439, 5331, 596, 616, 1565, 513, 1007, 5728, 3009, 1107, 602, 779, 1018, 4974, 513, 4914, 1893, 7959, 899, 3006, 256, 5272, 1893, 814, 922, 1378, 2189, 1305, 540, 4992, 267, 1913, 267, 543, 8239, 3652, 269, 1306, 649, 2253, 19586, 532, 519, 13655, 540, 8895, 6509, 267, 3314, 602, 621, 12851, 547, 519, 23620, 1893, 1920, 267, 1175, 899, 3943, 267, 7969, 267, 5053, 267, 543, 14082, 269, 901, 1797, 789, 782, 2671, 1455, 5072, 1107, 5824, 256, 27355, 1405, 621, 3579, 6616, 602, 1082, 3864, 4654, 723, 513, 4276, 2469, 1394, 5215, 540, 1296, 2496, 3086, 267, 4605, 3054, 9683, 4190, 8050, 269, 9894, 596, 917, 972, 568, 811, 982, 835, 4013, 1893, 538, 713, 13566, 2197, 286, 14755, 10011, 27482, 5053, 267, 1004, 849, 3717, 6237, 4654, 971, 607, 18280, 534, 267, 5178, 4302, 267, 543, 9811, 267, 8895, 6509, 256, 2334, 779, 1318, 282, 621, 779, 9800, 543, 1134, 1851, 1614, 2929, 5065, 10529, 269, 2913, 781, 2743, 930, 2828, 945, 666, 4001, 721, 875, 547, 6338, 6000, 538, 8895, 6509, 1384, 15916, 815, 744, 5055, 454, 14187, 25742, 815, 29615, 639, 454, 8923, 815, 28769, 3870, 454, 14188, 596, 815, 3400, 857, 553, 454, 8133, 815, 13961, 454, 5591, 815, 6348, 454, 296, 993, 630, 4067, 264, 815, 661, 340, 5067, 630, 4067, 994, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19425, 1161, 540, 519, 3778, 543, 13898, 540, 6925, 568, 513, 9263, 24595, 3621, 4760, 8547, 538, 476, 4572, 275, 593, 519, 11036, 540, 7905, 14088, 654, 337, 345, 846, 330, 269, 3683, 519, 1296, 267, 519, 4760, 814, 4957, 922, 2012, 267, 15769, 2987, 268, 27815, 543, 11768, 267, 855, 1869, 3788, 835, 540, 519, 1906, 3621, 7463, 10643, 3370, 21237, 538, 519, 2361, 540, 1686, 543, 6138, 540, 4915, 269, 3245, 519, 1360, 4098, 267, 519, 4760, 814, 1831, 519, 1034, 1271, 14470, 3621, 4760, 593, 891, 5396, 563, 12218, 3821, 595, 2350, 990, 16772, 807, 267, 519, 5993, 13991, 547, 519, 2090, 540, 5259, 543, 4936, 25196, 267, 729, 3964, 538, 476, 1960, 276, 607, 519, 11036, 540, 519, 10615, 540, 519, 4659, 540, 18190, 5845, 1108, 540, 519, 808, 698, 328, 749, 20897, 2160, 267, 7905, 12254, 529, 22119, 1177, 853, 629, 787, 22119, 320, 269, 4595, 476, 1960, 277, 267, 519, 1599, 540, 519, 3621, 9375, 814, 1044, 4371, 676, 7905, 7603, 5414, 853, 344, 6390, 269, 3245, 519, 1360, 4098, 267, 4147, 3821, 595, 2350, 990, 16772, 807, 814, 1044, 9709, 607, 513, 8468, 585, 3621, 9316, 1063, 519, 4659, 540, 18190, 5845, 1108, 540, 519, 808, 698, 328, 749, 20897, 2160, 543, 661, 340, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29727, 6509, 5678, 543, 9085, 257, 607, 851, 540, 834, 293, 16800, 22218, 700, 20315, 308, 17803, 29898, 1315, 23620, 19932, 630, 8448, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 667, 14110, 7991, 692, 6781, 20130, 515, 330, 932, 7596, 327, 776, 692, 16829, 593, 692, 258, 7089, 540, 17778, 547, 21079, 513, 7089, 547, 20023, 692, 11693, 606, 8870, 1003, 267, 2132, 519, 1297, 540, 3268, 547, 2569, 621, 547, 4642, 780, 1103, 835, 1900, 267, 952, 519, 1699, 1297, 568, 1256, 267, 596, 723, 547, 7941, 621, 676, 476, 273, 267, 6382, 267, 596, 723, 547, 10208, 476, 272, 689, 621, 780, 7078, 476, 272, 1384, 19152, 281, 1003, 815, 476, 1691, 454, 20479, 281, 476, 277, 454, 15008, 912, 3721, 476, 272, 264, 476, 1691, 568, 1256, 282, 7941, 676, 476, 273, 543, 3489, 476, 278, 563, 3721, 476, 273, 264, 476, 278, 568, 9642, 282, 10208, 476, 272, 543, 3489, 476, 277, 563, 3721, 476, 274, 264, 476, 277, 568, 1256, 282, 7941, 676, 476, 273, 543, 3489, 476, 274, 563, 3721, 476, 275, 264, 476, 274, 568, 9642, 282, 10208, 476, 272, 543, 3489, 476, 273, 563, 3721, 476, 276, 264, 476, 273, 568, 1256, 282, 7941, 676, 476, 273, 543, 3489, 476, 272, 563, 3721, 476, 277, 264, 476, 272, 568, 9642, 282, 10208, 476, 272, 543, 3489, 476, 271, 780, 7078, 476, 273, 1384, 19152, 281, 1003, 815, 476, 279, 454, 20479, 281, 476, 275, 454, 15008, 912, 3721, 476, 272, 264, 476, 279, 568, 1256, 282, 7941, 676, 476, 273, 543, 3489, 476, 275, 563, 3721, 476, 273, 264, 476, 275, 568, 1256, 282, 7941, 676, 476, 273, 543, 3489, 476, 273, 563, 3721, 476, 274, 264, 476, 273, 568, 1256, 282, 7941, 676, 476, 273, 543, 3489, 476, 272, 563, 3721, 476, 275, 264, 476, 272, 568, 9642, 282, 10208, 476, 272, 543, 3489, 476, 271, 780, 7078, 476, 274, 1384, 19152, 281, 1003, 815, 476, 11277, 454, 20479, 281, 476, 1321, 692, 3519, 14259, 6493, 1384, 1892, 476, 271, 10922, 1003, 10922, 476, 11793, 692, 306, 5357, 28513, 1384, 5035, 8827, 912, 3698, 1297, 8170, 3721, 338, 4311, 267, 1003, 281, 703, 264, 9847, 703, 912, 25074, 815, 476, 271, 454, 6112, 1003, 3436, 476, 271, 912, 604, 1003, 1299, 476, 272, 912, 11133, 815, 630, 11133, 910, 476, 272, 264, 12262, 476, 273, 454, 25074, 6834, 476, 272, 952, 1003, 2652, 476, 271, 3116, 476, 273, 454, 12828, 912, 11133, 815, 1003, 12262, 476, 273, 454, 25074, 6834, 476, 272, 454, 8873, 3268 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1015, 270, 1789, 270, 1001, 277, 476, 271, 22227, 454, 303, 1069, 2378, 15543, 281, 513, 17455, 7702, 781, 4216, 888, 2026, 519, 3618, 5170, 547, 3636, 909, 267, 519, 7989, 2378, 15543, 799, 2531, 7149, 519, 6739, 6389, 786, 555, 1177, 269, 1306, 621, 5283, 1206, 267, 811, 3327, 8166, 786, 581, 5950, 883, 519, 5790, 267, 799, 786, 538, 2490, 3565, 1256, 811, 547, 8022, 909, 519, 3618, 269, 769, 1840, 547, 713, 30380, 4783, 267, 519, 13621, 540, 7989, 2378, 15543, 666, 1863, 930, 3504, 3676, 689, 513, 2620, 19068, 269, 1452, 11763, 17973, 786, 556, 655, 10235, 689, 2116, 3421, 12412, 547, 6228, 269, 24511, 267, 713, 568, 8345, 2907, 563, 2690, 811, 267, 2638, 856, 713, 2376, 593, 519, 11660, 1977, 563, 32306, 513, 31400, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2290, 13566, 1554, 267, 5981, 543, 16092, 4956, 547, 723, 513, 17552, 5371, 538, 519, 6288, 269, 1358, 4547, 2059, 741, 5172, 1426, 910, 512, 659, 657, 256, 1809, 950, 789, 8118, 519, 20220, 540, 521, 1023, 320, 267, 5981, 1500, 513, 16168, 6085, 780, 257, 32452, 267, 713, 521, 1023, 320, 2115, 930, 3595, 10590, 5981, 608, 13094, 267, 8757, 585, 1010, 1216, 11480, 543, 530, 31441, 17570, 1055, 1010, 30432, 780, 297, 600, 773, 6743, 11821, 1317, 1352, 4718, 17229, 12902, 1524, 5981, 781, 1750, 4060, 543, 1010, 2699, 3068, 269, 2701, 4280, 267, 834, 3719, 5749, 1405, 707, 4064, 14450, 543, 9224, 4881, 286, 1215, 666, 621, 7654, 991, 811, 3002, 12482, 20694, 561, 13774, 1117, 543, 14452, 267, 834, 6546, 781, 1572, 1412, 16812, 20451, 10086, 16092, 269, 898, 1797, 594, 2965, 1611, 519, 6587, 540, 1018, 594, 2161, 1701, 1261, 1287, 6045, 875, 31625, 18717, 2014, 938, 28182, 547, 1745, 3905, 1813, 547, 513, 3114, 7623, 1572, 11503, 24191, 514, 267, 799, 15361, 938, 12058, 883, 3206, 649, 2811, 4189, 1945, 2731, 25970, 269, 1656, 3006, 267, 1004, 1522, 946, 971, 20451, 547, 2769, 9636, 9644, 3585, 780, 2026, 789, 4797, 11981, 741, 7594, 267, 10393, 513, 2178, 31830, 540, 2842, 6926, 342, 2476, 782, 741, 8949, 512, 659, 657, 269, 5637, 588, 1563, 693, 1142, 824, 4633, 1652, 1354, 16802, 532, 883, 17409, 269, 4634, 1498, 741, 17552, 5371, 4769, 1405, 979, 607, 9709, 267, 789, 4121, 1079, 1919, 281, 1620, 20451, 543, 19825, 2470, 781, 1404, 6888, 269, 6884, 267, 1272, 25001, 6397, 23538, 693, 721, 267, 3450, 3407, 4245, 1247, 5329, 1919, 4277, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 1281, 519, 11913, 20451, 538, 713, 1257, 2303, 888, 21893, 521, 1023, 320, 1223, 946, 513, 2370, 811, 24996, 2437, 966, 6359, 599, 1767, 607, 646, 575, 592, 6244, 1524, 1216, 543, 530, 21317, 17229, 689, 1010, 4064, 563, 288, 281, 634, 521, 1023, 320, 729, 1932, 25970, 563, 289, 281, 634, 521, 1023, 320, 729, 13820, 6804, 563, 763, 1257, 3096, 11913, 20451, 267, 799, 3322, 6031, 835, 3364, 855, 31552, 1945, 1360, 1114, 563, 27745, 946, 513, 2370, 811, 24996, 4401, 1227, 5267, 602, 519, 521, 1023, 320, 729, 1932, 25970, 269, 966, 6359, 599, 575, 592, 6244, 1524, 1216, 543, 530, 21317, 17229, 689, 1010, 4064, 267, 23053, 602, 519, 521, 1023, 320, 729, 8197, 1932, 25970, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 1401, 716, 27018, 12307, 692, 259, 300, 3287, 11971, 264, 11459, 1341, 715, 3287, 11971, 264, 11276, 284, 271, 259, 568, 1767, 547, 581, 513, 3501, 11186, 950, 692, 7445, 2765, 3189, 14783, 630, 300, 3287, 11971, 4297, 7346, 14783, 586, 18098, 2765, 3189, 14783, 630, 301, 3287, 11971, 4297, 7346, 14783, 1535, 31859, 4131, 1269, 300, 14729, 7807, 2765, 3189, 14783, 630, 300, 3287, 11971, 4297, 7346, 14783, 586, 4151, 543, 1269, 301, 13448, 7807, 2765, 3189, 14783, 630, 301, 3287, 11971, 4297, 7346, 14783, 1535, 31859, 1103, 2013, 952, 1384, 7445, 2765, 346, 300, 14729, 9539, 13448, 2410, 301, 3287, 11971, 264, 4151, 568, 1152, 513, 1599, 540, 1535, 1152, 630, 25669, 1269, 325, 3287, 7751, 264, 1287, 621, 814, 513, 10128, 3815, 1269, 324, 17353, 842, 535, 3287, 264, 11459, 31859, 3719, 952, 4399, 2765, 346, 300, 14729, 9539, 13448, 2410, 301, 3287, 11971, 264, 4151, 568, 513, 3586, 1287, 1018, 786, 581, 519, 10128, 3815, 2496, 306, 599, 585, 713, 1966, 912, 259, 263, 25404, 317, 273, 1341, 676, 264, 15848, 1341, 630, 321, 343, 317, 273, 344, 1341, 4949, 264, 10085, 284, 271, 6911, 3674, 972, 1022, 824, 1505, 547, 4194, 713, 11186, 3830, 2496, 2971, 10298, 11814, 532, 3245, 5680, 540, 834, 2750, 716, 27018, 12307, 5016, 7230, 1046, 1384, 2252, 1269, 300, 343, 9539, 344, 315, 2254, 284, 271, 259, 543, 519, 3830, 666, 581, 2854, 607, 1269, 325, 3287, 344, 264, 344, 20867, 11459, 266, 293, 3287, 344, 32589, 20867, 11276, 284, 271, 259, 1287, 4399, 2765, 346, 272, 2410, 300, 343, 9539, 344, 4151, 568, 606, 10128, 3815, 540, 519, 3830, 780, 2080, 519, 3830, 568, 18159, 25404, 17070, 264, 344, 20867, 11459, 23444, 321, 15383, 266, 320, 32589, 20867, 11276, 284, 271, 10608, 1924, 2073, 1269, 296, 12171, 269, 7807, 2765, 346, 272, 2410, 263, 320, 1532, 7565, 343, 317, 273, 344, 317, 273, 14870, 344, 14587, 269, 6911, 4692, 596, 8399, 2417, 7790 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 19523, 454, 5814, 942, 454, 5228, 30220, 1104, 30220, 267, 31764, 12265, 692, 258, 13127, 495, 377, 10524, 353, 27310, 9463, 480, 12255, 417, 379, 483, 421, 350, 375, 419, 511, 487, 30678, 272, 14748, 454, 604, 7003, 4433, 903, 27769, 341, 264, 11203, 476, 274, 912, 825, 1820, 3488, 639, 720, 281, 942, 318, 27785, 18258, 2999, 11845, 942, 5569, 285, 2999, 5503, 18232, 285, 5073, 825, 14827, 263, 272, 2020, 5503, 23919, 815, 19523, 27769, 341, 314, 272, 2639, 23169, 23919, 815, 19523, 27769, 341, 314, 273, 2639, 5503, 6958, 31198, 815, 1412, 260, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 281, 260, 306, 28847, 604, 18232, 23919, 269, 11034, 1873, 603, 3488, 268, 262, 2187, 825, 31575, 23919, 815, 18232, 23919, 314, 272, 281, 2639, 12828, 912, 825, 31575, 23919, 815, 18232, 23919, 454, 604, 711, 31575, 23919, 18994, 323, 13424, 10031, 825, 1820, 3488, 514, 20777, 942, 18232, 281, 4939, 338, 262, 4939, 18232, 23919, 994, 825, 14827, 263, 272, 994, 23169, 815, 703, 5560, 12265, 23919, 2020, 258, 476, 17958, 16043, 371, 27447, 24662, 7511, 28793, 25426, 368, 21211, 31033, 4970, 366, 23523, 486, 23746, 420, 25693, 15159, 21251, 31033, 12571, 486, 25335, 482, 420, 490, 481, 7511, 267, 417, 28187, 31563, 421, 479, 485, 28996, 30244, 21550, 371, 7511, 21251, 25335, 482, 420, 490, 481, 28793, 25426, 368, 21211, 31033, 4970, 366, 2676, 258, 942, 269, 1598, 696, 830, 13127, 485, 30936, 16533, 484, 25263, 504, 418, 488, 505, 24731, 19368, 11293, 549, 13127, 376, 480, 27747, 372, 454, 339, 787, 912, 825, 512, 815, 942, 269, 1598, 696, 830, 263, 5503, 23919, 267, 942, 6958, 31198, 994, 21955, 28759, 912, 825, 1820, 3488, 514, 20777, 942, 5569, 281, 4939, 338, 262, 4939, 942, 23919, 994, 825, 14827, 263, 272, 2020, 258, 512, 15159, 22047, 28793, 25426, 368, 14756, 497, 22909, 482, 12916, 497, 267, 10429, 370, 31176, 491, 30837, 351, 277, 14748, 21211, 418, 362, 369, 16533, 365, 15159, 23946, 368, 270, 10951, 486, 270, 20721, 354, 270, 28793, 270, 26166, 270, 26175, 496, 454, 339, 273, 815, 512, 11468, 277, 6540, 258, 476, 20881, 504, 13213, 485, 2608, 339, 273, 476, 30244, 21550, 371, 7511, 25263, 510, 9463, 480, 25913, 19764, 493, 418, 488, 488, 339, 273, 19404, 490, 30837, 351, 7511, 277, 14748, 30317, 27381, 510, 19867, 497, 10533, 352, 267, 418, 490, 487, 421, 350, 374, 31365, 25263, 510, 20881, 496, 14756, 503, 323, 520, 8135, 32352, 7511, 22909, 482, 20881, 510, 16583, 30936, 454, 19049, 815, 30220, 28949, 339, 273, 2020, 258, 1039, 942, 18232, 454, 19049, 815, 24303, 1341, 31764, 12265, 5560, 904, 284, 23169, 2020, 258, 17276, 510, 376, 19764, 493, 25060, 500, 23946, 370, 27447, 24731, 14756, 497, 31563, 454, 14310, 815, 24303, 269, 1598, 1111, 830, 3488, 260, 320, 267, 4939, 312, 268, 260, 332, 268, 260, 323, 4939, 295, 281, 260, 300, 281, 260, 306, 5073, 2745, 31114, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 272, 1729, 3111, 547, 1174, 2576, 610, 1945, 7157, 454, 268, 476, 273, 1729, 4612, 27235, 454, 8794, 19955, 281, 6201, 454, 12648, 513, 4090, 547, 24559, 3054, 609, 875, 834, 332, 529, 16187, 257, 666, 581, 1031, 538, 1585, 3871, 998, 519, 1739, 1806, 2336, 296, 1589, 596, 29144, 1018, 594, 1767, 563, 9515, 2141, 19955, 338, 1250, 15752, 563, 3891, 29144, 519, 5528, 543, 1705, 621, 4636, 563, 10673, 1405, 19955, 803, 267, 594, 6415, 711, 6031, 596, 2811, 4636, 563, 332, 529, 16187, 14271, 11618, 543, 4165, 11618, 454, 4942, 29320, 609, 19955, 454, 1729, 581, 27235, 14648, 610, 711, 6956, 676, 1866, 454, 15463, 15752, 941, 29144, 676, 1200, 9164, 563, 1729, 3111, 547, 5968, 3927, 267, 4611, 538, 10539, 610, 31495, 13133, 566, 454, 5445, 6854, 3765, 24483, 1142, 824, 781, 15752, 267, 3056, 547, 7440, 563, 3891, 29144, 519, 3510, 543, 2219, 3388, 729, 5386, 267, 950, 538, 1249, 621, 729, 3833, 3978, 563, 23087, 281, 19955, 538, 16684, 454, 2414, 1412, 332, 529, 16187, 262, 1496, 391, 490, 332, 22688, 338, 390, 490, 526, 16745, 337, 16659, 560, 19508, 526, 316, 568, 547, 3111, 547, 1174, 2576, 610, 1945, 7157, 267, 610, 547, 4612, 621, 27235, 269, 898, 666, 1291, 547, 10539, 543, 3765, 23890, 267, 607, 538, 1412, 9515, 2141, 19955, 338, 1250, 15752, 9538, 1412, 300, 529, 16187, 262, 814, 19655, 899, 1412, 332, 529, 5793, 13133, 262, 543, 1412, 332, 529, 6247, 4902, 10086, 543, 1884, 11618, 899, 1412, 16187, 262, 543, 1412, 1260, 2181, 9150, 9538 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 834, 1432, 1876, 568, 834, 257, 1492, 4320, 540, 513, 2016, 2527, 540, 3154, 693, 513, 2016, 2837, 568, 11201, 569, 14354, 547, 922, 2604, 3269, 24350, 12585, 281, 15196, 548, 781, 1876, 454, 2704, 328, 1162, 281, 15196, 548, 5336, 926, 582, 974, 1876, 267, 15196, 956, 4521, 267, 15196, 548, 781, 4521, 267, 15196, 548, 781, 1876, 267, 25795, 582, 974, 4521, 267, 25795, 582, 974, 781, 1876, 267, 15196, 548, 1876, 267, 15196, 956, 1876, 267, 15196, 548, 25795, 582, 974, 1876, 267, 25795, 582, 974, 1876, 267, 15196, 548, 25795, 582, 974, 4521, 267, 15196, 548, 5336, 926, 582, 974, 4521, 267, 15196, 548, 25795, 582, 974, 781, 1876, 267, 15196, 548, 5336, 926, 582, 974, 781, 1876, 267, 15196, 548, 1700, 300, 926, 582, 974, 1876, 267, 15196, 548, 5336, 926, 582, 974 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 520, 15390, 3406, 568, 4947, 4166, 269, 769, 519, 29291, 267, 946, 519, 1739, 6688, 547, 2263, 519, 6538, 2200, 912, 14188, 596, 256, 2659, 19169, 814, 1044, 4607, 2336, 302, 3591, 256, 23985, 4682, 4636, 1247, 26446, 519, 1106, 563, 27662, 518, 23663, 689, 595, 2784, 548, 547, 3400, 557, 281, 1215, 11272, 23663, 19468, 13937, 13238, 23663, 593, 17151, 8135, 6820, 654, 9879, 2506, 3827, 454, 10454, 1382, 4330, 538, 713, 1867, 2982, 602, 1256, 609, 519, 3152, 2518, 8337, 5434, 689, 5663, 630, 26171, 569, 1317, 540, 16864, 23760, 6007, 5663, 1070, 513, 6007, 3887, 10431, 6174, 1869, 2164, 538, 3648, 2539, 2518, 8337, 5434, 936, 922, 10715, 982, 922, 17405, 11218, 269, 4033, 2090, 593, 713, 1888, 723, 2097, 547, 2147, 8753, 4799, 293, 3985, 4507, 1223, 2333, 519, 519, 2640, 540, 3167, 338, 6472, 676, 10115, 538, 6007, 2029, 563, 763, 2229, 1223, 7520, 1569, 547, 3167, 6472, 563, 763, 2229, 1223, 4228, 7791, 1648, 3292, 547, 948, 3142, 1524, 12601, 946, 563, 6826, 16442, 513, 2182, 2628, 13665, 630, 335, 4660, 6589, 1152, 994, 6826, 16442, 513, 2571, 2628, 13665, 630, 15905, 5784, 4847, 2394, 513, 6976, 2272, 568, 2838, 994, 5591, 3688, 1336, 563, 8923, 1577, 721, 917, 454, 8450, 1945, 602, 1058, 581, 1934, 602, 3884, 1405, 286, 5620, 513, 19583, 547, 1118, 286 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 805, 3107, 543, 7362, 1852, 616, 3844, 547, 4730, 519, 1073, 4141, 267, 2943, 1906, 2143, 3872, 2200, 616, 2139, 547, 1489, 741, 3450, 543, 1565, 269, 901, 1957, 6799, 513, 2689, 540, 4540, 1702, 543, 6791, 538, 519, 2361, 269, 898, 8711, 1455, 2666, 543, 2798, 540, 15784, 267, 543, 6920, 930, 1883, 2127, 585, 7156, 269, 898, 2798, 547, 519, 991, 585, 2417, 1382, 547, 3715, 1312, 513, 811, 2143, 4605, 540, 519, 14169, 543, 17550, 540, 7244, 2853, 538, 4730, 543, 2500, 3450, 543, 1565, 2994, 563, 10387, 841, 707, 7172, 4115, 610, 23070, 547, 4363, 4946, 713, 4760, 547, 707, 13539, 781, 4015, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5055, 284, 703, 630, 6358, 2891, 28808, 516, 572, 3288, 1279, 340, 2595, 1642, 561, 5964, 513, 281, 27328, 331, 321, 284, 703, 630, 6358, 2891, 28808, 516, 572, 3288, 1279, 340, 2595, 1642, 561, 5964, 536, 281, 27328, 331, 322, 284, 703, 630, 6358, 2891, 28808, 516, 572, 3288, 1279, 340, 2595, 1642, 561, 5964, 524, 281, 27328, 8243, 284, 630, 5055, 266, 331, 321, 266, 331, 322, 8358, 273, 454, 331, 272, 284, 8243, 2000, 320, 454, 331, 273, 284, 8243, 2000, 321, 454, 331, 274, 284, 8243, 2000, 322, 454, 19327, 284, 630, 8243, 265, 331, 272, 265, 331, 273, 265, 331, 274, 264, 1262, 263, 272, 270, 273, 994, 2745, 9497, 14976, 3331, 350, 16699, 1642, 959, 532, 25222, 632, 1035, 21838, 4777, 513, 3997, 1279, 340, 6421, 1965, 281, 834, 834, 346, 15545, 275, 325, 348, 2668, 8971, 263, 19327, 4297 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 293, 27518, 267, 5988, 476, 6021, 628, 476, 1001, 279, 267, 476, 5400, 281, 7871, 281, 3953, 7537, 269, 18065, 269, 17397, 676, 1325, 1460, 10753, 2033, 454, 295, 527, 547, 3367, 2859, 454, 23409, 674, 4869, 675, 17435, 1067, 18514, 12810, 454, 4910, 626, 832, 267, 29522, 267, 543, 1802, 4701, 616, 519, 4909, 3334, 540, 5907, 11387, 269, 769, 1249, 267, 782, 5907, 11387, 666, 581, 5973, 1836, 6719, 676, 11387, 540, 891, 1614, 3334, 1927, 609, 6453, 543, 1699, 2959, 563, 23409, 674, 4869, 675, 22732, 16530, 12810, 269, 8752, 674, 4869, 675, 16530, 12810, 9487, 269, 476, 275, 10089, 321, 12071, 2803, 1417, 8752, 674, 4869, 675, 16530, 12810, 269, 9919, 4979, 8752, 674, 4869, 675, 20668, 12810, 269, 27439, 8752, 674, 4869, 675, 12810, 269, 9919, 4979, 27684, 8752, 674, 4869, 675, 16530, 12810, 269, 13038, 8752, 674, 4869, 675, 16530, 12810, 269, 8752, 674, 4869, 675, 20668, 12810, 563, 2704, 13700, 2313, 732, 910, 16530, 12810, 20155, 454, 15648, 9736, 476, 1220, 274, 910, 476, 1001, 279, 23792, 9012, 269, 2353, 23032, 2472, 267, 2754, 4408, 267, 6216, 4408, 267, 30931, 543, 27291, 616, 1492, 3959, 540, 741, 9757, 5411, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 30453, 11828, 875, 547, 2328, 1434, 7493, 338, 585, 5359, 621, 6227, 21141, 543, 10855, 7493, 338, 543, 3947, 31452, 585, 1967, 269, 22291, 513, 1592, 540, 1883, 2609, 585, 519, 7493, 543, 1806, 519, 2257, 4023, 1788, 7493, 5526, 693, 519, 519, 7493, 543, 1224, 519, 3003, 1957, 610, 269, 1215, 547, 2328, 606, 7493, 281, 4388, 543, 5439, 682, 1695, 1286, 2651, 267, 943, 323, 267, 8689, 267, 5604, 540, 15938, 1382, 606, 7493, 568, 513, 2110, 5758, 540, 707, 6192, 1382, 269, 3194, 267, 11239, 267, 543, 17096, 7493, 14051, 568, 513, 538, 713, 1957, 267, 1775, 786, 1865, 14051, 538, 2543, 547, 2228, 269, 17593, 519, 7493, 6238, 513, 1353, 540, 10867, 8023, 2853, 729, 5645, 856, 593, 513, 3732, 540, 476, 1911, 3993, 630, 329, 684, 476, 2918, 267, 476, 1220, 280, 264, 1382, 1957, 1383, 563, 1692, 547, 2328, 606, 7493, 1382, 1957, 6011, 547, 2328, 606, 7493, 606, 7493, 568, 513, 2110, 5758, 540, 707, 6192, 1382, 269, 1548, 713, 30453, 568, 827, 713, 30453, 2488, 8847, 543, 1806, 540, 519, 1079, 1292, 2010, 540, 7493, 338, 281, 606, 7493, 540, 513, 3621, 1382, 1957, 786, 269, 570, 11548, 12445, 998, 1603, 4388, 585, 513, 1382, 1957, 7493, 2985, 281, 4647, 513, 3732, 540, 513, 1382, 1957, 609, 606, 7493, 606, 7493, 1107, 1292, 3681, 593, 519, 269, 5213, 1406, 1175, 2759, 543, 13594, 5220, 689, 707, 1382, 1957, 883, 707, 7493, 3136, 2542, 585, 1806, 540, 7493, 338, 689, 1082, 10459, 563, 1692, 547, 2328, 513, 1382, 7493, 827, 519, 1382, 982, 827, 519, 1957, 1141, 547, 1265, 1806, 540, 7493, 338, 269, 594, 3318, 7493, 338, 281, 1434, 476, 272, 264, 2034, 267, 1775, 2263, 519, 4644, 540, 15938, 1382, 3255, 585, 12102, 1053, 538, 2257, 4610, 563, 25456, 1957, 713, 1957, 1058, 581, 1031, 1152, 607, 606, 1383, 540, 513, 1382, 1957, 2328, 5346, 7493, 713, 1957, 6257, 519, 26447, 2360, 540, 513, 1982, 540, 269, 901, 3391, 786, 1683, 1382, 543, 1603, 4388, 547, 948, 1053, 2347, 513, 3332, 2689, 3332, 2689, 281, 10647, 1299, 1603, 3732, 3332, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4495, 2390, 513, 942, 267, 538, 2961, 1633, 807, 267, 5030, 1614, 1655, 2828, 3957, 2353, 773, 24747, 20000, 267, 14105, 681, 792, 20000, 267, 543, 17012, 13571, 20000, 269, 1358, 941, 782, 1114, 2010, 540, 6517, 855, 789, 6068, 3695, 543, 1565, 1007, 1919, 1927, 780, 3080, 1554, 267, 2353, 773, 1767, 267, 834, 20756, 16921, 256, 5620, 596, 2479, 9289, 875, 938, 14743, 948, 721, 1847, 8335, 8119, 14105, 543, 17012, 695, 809, 741, 9843, 267, 8049, 547, 1451, 811, 269, 1924, 267, 2353, 773, 6045, 267, 834, 296, 993, 606, 782, 2914, 31856, 5397, 1286, 267, 799, 1797, 594, 666, 6494, 1379, 547, 782, 1250, 14743, 269, 901, 2337, 803, 2744, 1732, 20086, 593, 31868, 2044, 9897, 899, 1346, 4988, 538, 4764, 267, 6777, 267, 610, 4672, 15323, 305, 599, 1287, 3838, 267, 834, 11039, 267, 594, 6415, 513, 15493, 2914, 31856, 5397, 1286, 267, 543, 594, 1152, 6494, 1379, 547, 1250, 1394, 14743, 269, 594, 6415, 1390, 693, 23960, 3533, 267, 2523, 1282, 14797, 256, 3733, 1374, 849, 2306, 7432, 4443, 267, 4758, 803, 24077, 7829, 3010, 293, 3757, 16403, 539, 538, 267, 834, 6546, 781, 3579, 256, 594, 6415, 513, 4395, 2914, 31856, 5397, 1286, 267, 865, 594, 6494, 1379, 547, 1250, 4395, 14743, 269, 594, 6415, 3501, 585, 10707, 593, 3819, 267, 6366, 7252, 1317, 594, 2709, 1434, 4492, 4398, 256, 9578, 267, 2094, 1034, 540, 1250, 2597, 568, 936, 519, 9141, 14743, 267, 594, 723, 4824, 17945, 1247, 8970, 1359, 3010, 2026, 789, 4797, 741, 7045, 267, 789, 11402, 1585, 4155, 2175, 1765, 8243, 26743, 2749, 10754, 267, 14869, 7823, 18162, 267, 543, 544, 28854, 4104, 10092, 269, 3962, 3659, 4362, 602, 741, 2189, 8868, 1062, 5280, 873, 6330, 891, 5054, 3927, 269, 1717, 267, 9039, 540, 873, 1223, 6023, 1169, 3510, 9985, 269, 1280, 3236, 267, 2353, 773, 17388, 609, 8325, 7140, 1813, 547, 1200, 5230, 5397, 30221, 267, 14105, 1185, 8373, 11543, 20086, 593, 476, 5390, 15113, 267, 543, 17012, 7948, 1405, 4383, 2620, 5070, 610, 16095, 1360, 1134, 780, 7661, 267, 789, 7691, 602, 4352, 1142, 835, 4597, 539, 538, 1978, 2127, 267, 1100, 2582, 1826, 729, 9120, 538, 1169, 2783, 269, 5020, 267, 1454, 899, 6117, 267, 4843, 6397, 2591, 269, 1635, 1620, 741, 9342, 543, 12755, 267, 789, 4121, 3407, 4245, 827, 16542, 267, 13916, 267, 543, 8508, 4763, 269, 1656, 3006, 267, 1256, 519, 1655, 6517, 2877, 513, 2370, 948, 689, 741, 2828, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 29205, 596, 2491, 519, 3604, 1063, 782, 2914, 31856, 5397, 267, 15493, 2914, 31856, 5397, 267, 543, 4395, 2914, 31856, 5397, 888, 5472, 2914, 31856, 5397, 281, 3097, 5472, 2914, 31856, 5397, 630, 288, 310, 291, 264, 2733, 2373, 1379, 547, 782, 2185, 14743, 540, 519, 6174, 267, 3246, 1732, 20086, 593, 31868, 2044, 7252, 971, 607, 4764, 267, 6777, 267, 610, 4672, 269, 32217, 291, 568, 3335, 1336, 538, 590, 10013, 338, 267, 31832, 810, 951, 267, 543, 2773, 6517, 269, 32217, 291, 10607, 7829, 543, 1852, 950, 6117, 593, 19514, 267, 31868, 2044, 267, 610, 4101, 1768, 23230, 780, 305, 792, 2914, 31856, 5397, 281, 3097, 1103, 15493, 2914, 31856, 5397, 630, 305, 310, 291, 264, 6472, 267, 519, 1379, 568, 11843, 547, 519, 1079, 15493, 14743, 1152, 269, 681, 310, 291, 568, 1455, 538, 5026, 6517, 267, 1164, 26024, 6472, 267, 543, 18114, 269, 681, 310, 291, 2488, 5140, 10231, 267, 7829, 267, 543, 3666, 269, 898, 568, 1447, 1950, 982, 32217, 291, 267, 799, 1797, 7864, 3334, 991, 3028, 543, 7816, 780, 293, 3224, 2914, 31856, 5397, 912, 1103, 4395, 2914, 31856, 5397, 630, 293, 310, 291, 264, 6472, 267, 519, 1379, 568, 10299, 547, 519, 1079, 4395, 14743, 267, 17444, 519, 1286, 4464, 269, 898, 568, 1455, 538, 11741, 6517, 543, 1507, 590, 10013, 338, 269, 674, 310, 291, 1568, 1134, 593, 3819, 267, 6366, 267, 610, 5347, 7252, 607, 621, 3091, 1434, 4492, 3759, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 303, 4932, 289, 5085, 288, 297, 2752, 3198, 22601, 295, 3008, 288, 5442, 294, 16165, 3041, 645, 8980, 296, 589, 2793, 298, 10323, 298, 5357, 288, 295, 667, 3008, 2752, 4041, 310, 2969, 700, 8980, 308, 667, 3198, 25783, 7246, 2562, 3198, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 22826, 2296, 547, 8479, 22996, 568, 2407, 540, 8342, 269, 11819, 1590, 1711, 519, 1184, 540, 2296, 1565, 585, 1762, 6267, 607, 4277, 267, 3078, 543, 4101, 607, 2009, 269, 8479, 6267, 723, 513, 1434, 3965, 543, 4431, 1945, 3728, 269, 1358, 616, 3742, 267, 19259, 543, 2653, 547, 708, 10028, 269, 19974, 568, 4730, 1974, 269, 1358, 899, 1565, 676, 4730, 543, 3257, 930, 2238, 8362, 543, 6923, 269, 4340, 547, 519, 31885, 540, 2528, 543, 2069, 1297, 476, 271, 2568, 270, 308, 270, 1960, 274, 267, 4914, 1893, 602, 1590, 581, 19927, 693, 1153, 2094, 1762, 2085, 568, 2296, 269, 4475, 267, 607, 513, 4116, 610, 2385, 814, 513, 4341, 875, 547, 4001, 2296, 547, 1762, 6267, 676, 1210, 1585, 569, 4480, 4277, 569, 269, 1703, 616, 1082, 2553, 666, 581, 4294, 267, 607, 918, 14515, 7315, 328, 1767, 602, 519, 2500, 1259, 547, 4001, 2296, 585, 1762, 6267, 568, 971, 607, 998, 5152, 267, 3014, 267, 1650, 267, 4605, 610, 519, 1483, 1843, 269, 2296, 1565, 585, 1762, 6267, 568, 6322, 547, 741, 2104, 267, 538, 1931, 602, 789, 666, 3717, 2296, 3868, 8271, 269, 634, 1292, 3483, 547, 4001, 2296, 585, 1762, 6267, 568, 547, 1118, 873, 13215, 930, 4938, 629, 983, 625, 607, 1082, 607, 2009, 269, 1924, 602, 789, 723, 1100, 7411, 538, 1565, 2296, 585, 519, 2104, 267, 789, 786, 723, 5578, 585, 741, 2104, 1272, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 769, 2221, 781, 7082, 1158, 267, 649, 4312, 2760, 1185, 865, 1454, 267, 2943, 621, 4667, 649, 4312, 2760, 1044, 865, 5667, 15384, 30829, 269, 634, 1942, 540, 8027, 814, 1044, 8375, 585, 5756, 267, 543, 519, 1942, 547, 519, 4541, 814, 1044, 5458, 267, 1932, 269, 1809, 972, 568, 513, 1259, 547, 2661, 513, 12863, 267, 22928, 267, 543, 811, 10097, 1272, 281, 4444, 513, 570, 4176, 291, 16946, 1753, 256, 570, 4176, 291, 16946, 5321, 616, 1360, 1507, 267, 2943, 6899, 8075, 693, 10097, 5777, 269, 3962, 570, 4176, 291, 16946, 1753, 814, 513, 4207, 1374, 543, 3769, 513, 2713, 4055, 267, 10051, 267, 19880, 267, 909, 560, 4202, 12008, 1858, 267, 543, 10375, 4859, 2230, 269, 570, 4176, 291, 16946, 5321, 616, 10464, 547, 2196, 543, 3235, 10999, 7888, 267, 1932, 269, 2353, 596, 991, 568, 513, 1507, 22865, 547, 1832, 707, 2777, 3636, 538, 4411, 4365, 267, 543, 3859, 8440, 567, 538, 1931, 547, 1683, 1769, 543, 5201, 269, 570, 4176, 291, 16946, 568, 851, 540, 519, 1507, 2000, 1516, 3350, 602, 3459, 538, 519, 3735, 476, 1960, 271, 338, 269, 7982, 1287, 267, 513, 3395, 1297, 540, 1004, 3459, 547, 2661, 538, 1360, 1507, 5321, 269, 1358, 4941, 547, 2569, 741, 22590, 267, 2713, 2230, 267, 543, 1648, 3790, 267, 865, 607, 547, 1291, 811, 3235, 10999, 7888, 2729, 269, 1809, 519, 1507, 2000, 1516, 3350, 2731, 3576, 1055, 1310, 519, 2804, 6433, 540, 476, 1220, 279, 267, 950, 1082, 1004, 7691, 602, 789, 7948, 1405, 6488, 547, 1832, 1804, 5321, 269, 700, 714, 5414, 5651, 6319, 517, 267, 513, 1507, 2000, 1516, 27423, 267, 3323, 570, 4176, 291, 16946, 5321, 538, 476, 1220, 279, 547, 2743, 519, 2115, 540, 891, 1004, 269, 4595, 1287, 267, 700, 714, 5414, 814, 1044, 8888, 543, 2679, 5321, 1875, 17380, 267, 543, 570, 4176, 291, 16946, 5321, 723, 1831, 865, 2442, 602, 5215, 540, 1004, 723, 11751, 835, 269, 1656, 700, 714, 5414, 18387, 1405, 1152, 8888, 543, 2679, 8075, 269, 2701, 814, 849, 1044, 3450, 1004, 875, 547, 1628, 873, 269, 15439, 4444, 519, 4566, 543, 2326, 865, 602, 596, 666, 1628, 707, 1378, 1753, 267, 543, 4688, 1256, 811, 2724, 256, 1548, 798, 649, 917, 827, 519, 1507, 2000, 1516, 3350, 888, 271, 269, 898, 6322, 547, 6023, 519, 2804, 6433, 563, 272, 269, 898, 729, 3323, 676, 1004, 1510, 8075, 563, 273, 269, 898, 729, 1134, 4607, 676, 2777, 9858, 563, 274, 269, 898, 1705, 711, 1831, 3833, 2442, 2394, 476, 1220, 279, 563, 12585, 281, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4495, 2390, 513, 942, 267, 538, 513, 2244, 2484, 267, 2484, 2476, 267, 972, 5030, 2185, 8049, 2370, 7068, 3957, 30941, 7843, 1602, 639, 269, 1358, 941, 1634, 585, 741, 2648, 540, 3695, 543, 1565, 1007, 1919, 269, 634, 6205, 540, 519, 1895, 267, 19375, 267, 1185, 513, 2027, 13007, 910, 646, 729, 1390, 693, 19551, 1141, 1919, 941, 256, 901, 2702, 568, 1572, 8901, 3965, 543, 12445, 269, 898, 1797, 602, 19375, 1223, 3314, 875, 547, 1205, 547, 4025, 543, 1265, 1010, 1259, 1472, 780, 3080, 1554, 267, 1247, 4730, 2282, 741, 1753, 538, 519, 4104, 267, 789, 16686, 2390, 513, 4190, 8768, 2361, 269, 1809, 4166, 1310, 10024, 267, 513, 7088, 3459, 28823, 543, 621, 3323, 986, 1456, 8185, 269, 7937, 1100, 256, 634, 2828, 2877, 547, 1265, 12062, 3533, 780, 299, 3089, 1176, 267, 19375, 15422, 7487, 513, 13946, 7404, 950, 789, 1101, 9411, 519, 8768, 2361, 269, 1261, 1031, 1010, 5863, 8901, 3965, 1983, 547, 1291, 873, 1394, 547, 519, 13675, 9108, 269, 1879, 789, 6603, 519, 13946, 267, 789, 1336, 621, 4904, 609, 8949, 5613, 543, 3636, 3595, 269, 1548, 513, 8323, 2439, 3086, 267, 596, 1522, 4898, 267, 1018, 5280, 19375, 3314, 1141, 519, 13946, 729, 286, 4270, 267, 938, 12058, 960, 899, 7851, 543, 15870, 1949, 269, 1284, 1118, 2790, 4967, 540, 1271, 2934, 649, 1294, 1282, 938, 3460, 267, 971, 607, 7381, 4054, 267, 536, 1742, 538, 519, 2619, 267, 610, 513, 2462, 4224, 269, 1452, 1831, 21056, 538, 938, 8186, 267, 4543, 721, 1427, 15869, 938, 3268, 2663, 269, 3807, 899, 875, 707, 3158, 1121, 20047, 799, 513, 529, 548, 814, 707, 5172, 23611, 693, 519, 17365, 4558, 2439, 3383, 267, 1577, 781, 2259, 1210, 938, 1378, 8901, 3965, 543, 12445, 1983, 269, 5994, 596, 616, 6972, 547, 1153, 835, 1554, 543, 5469, 513, 10477, 544, 1116, 593, 519, 3774, 269, 3973, 267, 4947, 1394, 1753, 267, 596, 1780, 998, 513, 6288, 609, 23638, 543, 15942, 269, 3767, 2119, 14656, 707, 4064, 543, 1589, 827, 891, 1079, 6753, 269, 2052, 596, 4952, 519, 2619, 1063, 873, 286, 2334, 781, 1318, 256, 1411, 1175, 2813, 513, 2790, 4786, 267, 1175, 899, 19375, 1705, 2439, 8855, 267, 8026, 8901, 3965, 666, 581, 1187, 543, 5363, 711, 1152, 538, 9035, 855, 849, 538, 3232, 1272, 269, 1924, 1832, 11287, 707, 10450, 543, 2972, 519, 9059, 540, 3408, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 295, 27622, 7843, 1602, 639, 281, 17897, 531, 7261, 3380, 607, 513, 27284, 11905, 540, 7352, 566, 538, 5274, 454, 296, 534, 670, 2129, 332, 272, 24682, 5981, 18588, 590, 269, 654, 768, 2917, 476, 273, 24682, 4460, 5576, 718, 518, 272, 267, 1299, 7812, 661, 269, 654, 269, 966, 7568, 636, 273, 454, 272, 4972, 540, 10017, 267, 2160, 540, 3703, 12052, 454, 273, 4972, 540, 10017, 267, 14151, 3557, 2160, 267, 7843, 701, 267, 589, 313, 454, 265, 296, 269, 670, 2129, 332, 543, 589, 269, 590, 269, 654, 768, 2917, 8329, 8449, 543, 616, 7396, 9904, 1227, 563, 11754, 816, 19359, 547, 281, 27950, 670, 2129, 332, 630, 14140, 4067, 17106, 11333, 3820, 1070, 5981, 18588, 654, 768, 2917, 454, 263, 16942, 11333, 2593, 1070, 4460, 5576, 718, 518, 630, 14140, 4067, 17106, 11333, 3820, 1070, 610, 7812, 966, 7568, 636, 454, 10907, 1061, 539, 585, 22910, 267, 21126, 593, 16723, 3163, 454, 17504, 4032, 281, 476, 1015, 267, 16960, 454, 293, 27448, 281, 8750, 532, 729, 3177, 676, 519, 2817, 3163, 7690, 781, 23958, 9906, 454, 293, 749, 23050, 5358, 630, 288, 269, 590, 269, 654, 4700, 543, 606, 6184, 697, 16827, 689, 519, 4317, 7070, 543, 28299, 454, 10932, 7027, 540, 4516, 630, 300, 269, 590, 8094, 12041, 19928, 1903, 281, 631, 269, 661, 269, 654, 269, 966, 7568, 636, 267, 631, 269, 5576, 718, 518, 267, 594, 269, 670, 2129, 332, 267, 543, 589, 269, 590, 269, 654, 768, 2917, 454, 935, 24632, 1242, 713, 12377, 269, 594, 269, 670, 2129, 332, 267, 589, 269, 590, 269, 654, 768, 2917, 267, 631, 269, 5576, 718, 518, 267, 543, 631, 269, 661, 269, 654, 269, 966, 7568, 636, 454, 342, 4710, 519, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 6312, 658, 15350, 543, 32522, 257, 607, 851, 540, 834, 25787, 1315, 10960, 1299, 22414, 10017, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24375, 2996, 5131, 8866, 22073, 15026, 3943, 6096, 454, 24375, 2996, 1863, 3214, 4098, 7792, 18008, 3211, 269, 10670, 1676, 18008, 3211, 803, 8615, 22753, 2200, 14987, 269, 5253, 4235, 4976, 18008, 3211, 9992, 2534, 6656, 1863, 2489, 6128, 4542, 8228, 11718, 8938, 521, 3660, 3337, 3063, 2979, 2259, 14987, 269, 8018, 1459, 13029, 2534, 18008, 3211, 14987, 269, 3943, 2338, 4976, 476, 271, 4116, 3211, 14987, 269, 3943, 4116, 3214, 2238, 3211, 1565, 1451, 14987, 269, 17963, 3275, 18008, 7792, 8026, 11706, 3211, 1565, 3214, 1451, 14987, 269, 30488, 1863, 3214, 4098, 7792, 18008, 3211, 563, 24375, 2996, 1863, 3214, 4098, 7792, 18008, 3211, 1107, 22393, 6394, 543, 14013, 11540, 693, 5412, 476, 2767, 267, 476, 1708, 271, 267, 476, 276, 281, 1691, 993, 267, 901, 14987, 1863, 3214, 4098, 7792, 18008, 3211, 1657, 568, 835, 540, 519, 2592, 538, 18008, 3211, 585, 14987, 2059, 609, 824, 4976, 8523, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3939, 815, 6151, 17750, 2891, 11767, 513, 4845, 281, 834, 2020, 341, 578, 1564, 815, 27835, 288, 9166, 476, 271, 267, 1412, 292, 9166, 476, 271, 267, 1412, 296, 9166, 476, 271, 267, 1412, 302, 9166, 476, 271, 267, 1412, 308, 9166, 271, 8679, 4621, 815, 2715, 7684, 454, 1721, 4484, 538, 5692, 912, 825, 26627, 27664, 318, 12072, 815, 4484, 269, 21639, 4590, 825, 952, 26627, 27664, 318, 12072, 538, 24008, 912, 1038, 24008, 314, 6269, 27664, 318, 12072, 316, 815, 24008, 314, 6269, 27664, 318, 12072, 316, 1341, 476, 272, 454, 1038, 1820, 24008, 454, 825, 3116, 912, 1038, 952, 26627, 27664, 318, 12072, 711, 538, 931, 912, 2018, 931, 314, 6269, 27664, 318, 12072, 316, 815, 476, 272, 454, 1038, 3116, 912, 2018, 931, 314, 6269, 27664, 318, 12072, 316, 6834, 476, 272, 454, 27030, 2745, 931, 22562, 1721, 4484, 538, 24008, 912, 825, 1820, 476, 4484, 10086, 347, 3299, 18011, 265, 262, 2608, 24008, 314, 12072, 8079, 8528, 1721, 4484, 538, 931, 912, 825, 1820, 4484, 10086, 347, 3299, 18011, 265, 262, 2608, 931, 314, 12072, 7481 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 22998, 609, 1876, 11268, 543, 6604, 4648, 2066, 11882, 454, 8624, 3518, 639, 267, 11882, 630, 21776, 476, 2764, 267, 476, 1708, 273, 264, 1107, 589, 8150, 543, 4841, 18830, 20121, 10614, 5463, 2888, 630, 306, 4696, 291, 264, 723, 24574, 1229, 547, 13599, 6107, 593, 519, 4220, 540, 17089, 27780, 8529, 6117, 563, 763, 3119, 1445, 540, 519, 11450, 568, 519, 6765, 540, 9263, 3562, 24406, 518, 2069, 676, 590, 4696, 291, 779, 2875, 3401, 9001, 513, 6437, 2919, 676, 589, 8150, 29036, 1572, 1744, 14823, 717, 8986, 281, 634, 18671, 660, 18266, 6168, 631, 15097, 1299, 32010, 269, 634, 6437, 267, 31045, 676, 9466, 2160, 779, 3427, 540, 5398, 2657, 267, 9607, 912, 7868, 2360, 540, 29437, 593, 519, 3384, 18295, 2634, 454, 269, 10932, 2861, 1344, 593, 2799, 16154, 4220, 585, 17089, 27780, 8529, 10256, 454, 7868, 2168, 543, 5042, 3157, 4299, 676, 17089, 946, 454, 763, 1744, 14823, 717, 8986, 281, 634, 18671, 660, 18266, 6168, 631, 15097, 1299, 32010, 1982, 814, 1044, 9447, 547, 5111, 476, 2568, 267, 1822, 1164, 1153, 1053, 2429, 21086, 267, 12590, 267, 1715, 14948, 267, 1715, 3840, 543, 29049, 6816, 543, 568, 1631, 1373, 9250, 538, 11882, 269, 2776, 268, 543, 2022, 3491, 13559, 12220, 6542, 1713, 1140, 15994, 1689, 282, 1310, 10283, 538, 519, 1744, 14823, 717, 8986, 1982, 267, 476, 7176, 260, 540, 12322, 23500, 8815, 602, 17089, 791, 4202, 9920, 2773, 267, 543, 476, 4817, 260, 540, 5171, 8815, 602, 17089, 5540, 513, 9920, 779, 5114, 942, 563, 291, 2607, 15176, 6117, 568, 513, 3395, 1966, 593, 11882, 779, 9897, 269, 4340, 547, 519, 11882, 3557, 23681, 4793, 1503, 912, 269, 4391, 260, 540, 11882, 6808, 28896, 538, 476, 1708, 272, 3238, 2576, 896, 519, 3310, 540, 2507 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 692, 3698, 4266, 15461, 318, 15553, 1485, 5560, 622, 8217, 2187, 825, 1554, 267, 3923, 267, 1032, 815, 1496, 842, 3287, 264, 585, 1535, 538, 4266, 8217, 2639, 825, 568, 318, 548, 777, 14729, 792, 815, 630, 2254, 1032, 4939, 476, 275, 543, 1032, 4939, 476, 1911, 264, 610, 1032, 4939, 476, 6110, 454, 825, 952, 3923, 2652, 476, 272, 912, 1038, 952, 568, 318, 548, 777, 14729, 792, 912, 2018, 19671, 815, 476, 275, 454, 1038, 3116, 912, 2018, 19671, 815, 476, 274, 454, 825, 8640, 3923, 2652, 476, 273, 912, 1038, 952, 568, 318, 548, 777, 14729, 792, 912, 2018, 19671, 815, 476, 3066, 454, 1038, 3116, 912, 2018, 19671, 815, 476, 2764, 454, 825, 8640, 3923, 2652, 476, 274, 912, 1038, 19671, 815, 476, 271, 454, 825, 8640, 3923, 2652, 476, 275, 912, 1038, 19671, 815, 476, 275, 454, 825, 8640, 3923, 2652, 476, 276, 912, 1038, 19671, 815, 476, 280, 454, 825, 8640, 3923, 2652, 476, 277, 912, 1038, 19671, 815, 476, 277, 454, 825, 8640, 3923, 2652, 476, 278, 912, 1038, 19671, 815, 476, 1556, 454, 825, 8640, 3923, 2652, 476, 279, 912, 1038, 19671, 815, 476, 279, 454, 825, 8640, 3923, 2652, 476, 280, 912, 1038, 19671, 815, 476, 276, 454, 825, 8640, 3923, 2652, 476, 1015, 912, 1038, 19671, 815, 476, 1015, 454, 825, 8640, 3923, 2652, 476, 1556, 912, 1038, 19671, 815, 476, 278, 454, 825, 8640, 3923, 2652, 476, 1321, 912, 1038, 19671, 815, 476, 1321, 692, 825, 3018, 1485, 318, 842, 815, 630, 4777, 1682, 1485, 12169, 792, 264, 1341, 630, 1485, 910, 19671, 4297, 4939, 476, 278, 454, 825, 3018, 1485, 291, 1112, 815, 27835, 271, 9166, 1412, 338, 1495, 599, 3299, 1412, 272, 9166, 262, 332, 10185, 3299, 1412, 273, 9166, 262, 339, 11698, 3299, 1412, 274, 9166, 262, 14954, 11888, 22779, 4449, 567, 1412, 275, 9166, 262, 628, 11787, 3299, 1412, 276, 9166, 262, 325, 27518, 3299, 1412, 277, 9166, 262, 338, 12944, 262, 8679, 825, 3977, 815, 3018, 1485, 291, 1112, 314, 1598, 263, 15553, 1485, 318, 842, 22708, 825, 2132, 263, 16059, 2020, 692, 3698, 798, 1682, 1485, 12169, 792, 2187, 825, 1948, 4635, 519, 834, 15957, 266, 1556, 257, 4542, 689, 4179, 2517, 523, 25769, 3820, 28293, 270, 2710, 1682, 1485, 318, 22364, 454, 825, 570, 815, 1032, 4939, 476, 1911, 454, 825, 1455, 19056, 815, 703, 263, 271, 269, 276, 2608, 630, 307, 1341, 476, 1556, 2608, 630, 307, 4939, 476, 273, 21875, 825, 15558, 815, 476, 278, 910, 16733, 1455, 19056, 1341, 476, 1556, 2608, 630, 21720, 19056, 4939, 476, 273, 264, 3738, 4939, 476, 278, 25589, 825, 2540, 815, 703, 12169, 792, 270, 1911, 264, 2608, 476, 1911, 1948, 681, 2432, 1524, 547, 2540, 454, 825, 952, 2540, 4939, 476, 6110, 2652, 476, 1220, 912, 1038, 2540, 318, 21123, 528, 815, 476, 276, 454, 825, 8640, 2540, 4939, 476, 6110, 2652, 476, 4968, 912, 1038, 2540, 318, 21123, 528, 815, 476, 274, 454, 825, 8640, 2540, 4939, 476, 6110, 2652, 476, 271, 912, 1038, 2540, 318, 21123, 528, 815, 476, 273, 454, 825, 8640, 2540, 4939, 476, 6110, 2652, 476, 1911, 912, 1038, 2540, 318, 21123, 528, 815, 476, 271, 692, 825, 3977, 815, 630, 1417, 1722, 318, 21123, 528, 1341, 15558, 264, 4939, 476, 278, 454, 825, 2132, 3977, 692, 2745, 5560, 622, 15461, 318, 15553, 1485, 4433, 903, 27769, 341, 314, 272, 281, 28413 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 1265, 519, 1871, 540, 513, 4756, 538, 15364, 1599, 692, 31262, 3230, 294, 3287, 264, 815, 1535, 10559, 2765, 346, 274, 7346, 6912, 346, 276, 343, 266, 272, 3686, 910, 1422, 6912, 346, 274, 343, 266, 278, 15732, 2690, 1018, 1871, 540, 519, 3586, 737, 568, 519, 1599, 6024, 593, 922, 6389, 692, 325, 3287, 7565, 535, 3287, 264, 9192, 476, 273, 1599, 270, 3225, 566, 1927, 2020, 284, 326, 3287, 264, 23792, 281, 1535, 292, 667, 326, 692, 284, 330, 23792, 2433, 1535, 815, 476, 274, 692, 296, 1589, 737, 815, 476, 275, 1317, 950, 594, 1413, 693, 519, 3113, 693, 964, 15879, 267, 575, 3287, 264, 723, 513, 8559, 693, 630, 274, 267, 275, 264, 630, 328, 723, 1100, 2601, 1946, 264, 865, 621, 568, 513, 5110, 762, 19944, 8462, 267, 855, 713, 2243, 2307, 803, 1018, 568, 1871, 540, 737, 547, 1118, 535, 3287, 264, 513, 15364, 1599, 543, 649, 917, 602, 737, 568, 1152, 2139, 693, 1535, 815, 476, 274, 6357, 553, 1227, 1175, 513, 12297, 264, 543, 972, 568, 513, 8559, 693, 630, 274, 267, 275, 264, 538, 575, 3287, 264, 1599, 865, 594, 917, 602, 737, 568, 2469, 547, 581, 476, 275, 547, 6445, 909, 519, 8559, 547, 1118, 15364, 780, 3719, 875, 798, 596, 5173, 737, 2418, 620, 613, 1962, 1227, 2496, 1892, 7316, 1281, 1269, 330, 259, 2408, 538, 519, 4542, 286, 1107, 1109, 701, 11985, 6155, 341, 528, 752, 4924, 476, 280, 1412, 1704, 693, 476, 1240, 281, 2004, 454, 1892, 1946, 521, 746, 581, 513, 8559, 693, 3230, 343, 284, 274, 2330, 286, 1107, 1109, 7804, 269, 12312, 333, 14551, 3400, 889, 1676, 4924, 476, 280, 1412, 1704, 693, 476, 1240, 281, 7906, 454, 1892, 610, 798, 596, 1611, 3230, 294, 3287, 6661, 343, 10559, 2765, 346, 274, 7346, 6912, 346, 276, 343, 266, 272, 32757, 6912, 346, 274, 343, 266, 278, 24995, 286, 1107, 1109, 7804, 269, 12312, 333, 14551, 3400, 889, 1676, 4924, 476, 280, 1412, 1704, 693, 476, 1240, 281, 7871, 454, 1892, 9062, 519, 19362, 543, 14009, 676, 6695, 6912, 346, 276, 343, 266, 272, 23180, 6912, 346, 274, 343, 266, 278, 6525, 1107, 1109, 7804, 269, 12312, 333, 14551, 3400, 889, 1676, 4924, 476, 280, 1412, 1704, 693, 476, 1240, 281, 6872, 454, 1892, 1879, 579, 979, 547, 964, 15879, 543, 4283, 519, 3830, 972, 568, 513, 8559, 693, 476, 274, 1107, 1109, 5353, 4038, 4924, 476, 280, 1412, 1704, 693, 476, 1240, 281, 6812 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 9835, 7348, 11569, 256, 297, 2158, 10830, 6172, 2125, 1360, 267, 1360, 25921, 909, 3297, 519, 5556, 2958, 1049, 5783, 538, 23770, 269, 1403, 596, 723, 15336, 909, 24398, 269, 5845, 334, 267, 476, 274, 5195, 547, 519, 5045, 267, 519, 27177, 568, 519, 1482, 269, 1306, 2038, 607, 476, 8146, 273, 267, 519, 5556, 2958, 1049, 1235, 3459, 30565, 532, 741, 6068, 3283, 2469, 909, 519, 9386, 267, 4758, 873, 513, 6264, 2070, 267, 513, 6264, 2070, 8197, 256, 2311, 519, 5207, 1768, 15869, 538, 9835, 7348, 30895, 267, 519, 8977, 539, 4585, 519, 3141, 8375, 538, 519, 7532, 1657, 6682, 601, 779, 670, 2794, 543, 4259, 538, 519, 7178, 936, 8235, 16422, 21622, 543, 519, 1520, 597, 1180, 2931, 269, 634, 28200, 814, 782, 519, 5929, 2934, 540, 519, 968, 337, 1116, 892, 28200, 3350, 609, 835, 3620, 4348, 4458, 6040, 524, 25729, 543, 25308, 267, 546, 1905, 539, 2712, 985, 267, 1073, 601, 529, 802, 267, 6149, 11084, 267, 6149, 31619, 1424, 543, 608, 539, 571, 630, 332, 655, 3645, 1649, 2583, 1070, 607, 1134, 607, 519, 14869, 652, 9897, 540, 1022, 28200, 538, 28599, 563, 1103, 2806, 2421, 12756, 12920, 523, 3118, 779, 28599, 8466, 30657, 8291, 518, 267, 11730, 8633, 267, 20252, 543, 31089, 1633, 6019, 267, 3370, 538, 476, 6942, 278, 267, 519, 31684, 1686, 3568, 513, 3296, 13886, 22307, 4536, 540, 519, 2782, 540, 476, 5908, 272, 676, 2051, 269, 744, 269, 715, 269, 4432, 9469, 269, 2334, 2140, 538, 3294, 568, 513, 1650, 269, 634, 2165, 6406, 2782, 1152, 3357, 883, 7839, 1977, 6165, 538, 519, 2038, 476, 5002, 271, 781, 269, 4438, 543, 1310, 519, 2112, 267, 519, 2474, 2782, 9737, 519, 2276, 267, 2782, 540, 519, 31052, 542, 267, 4279, 31052, 542, 267, 2782, 585, 8828, 14412, 267, 2782, 540, 8832, 20548, 1833, 267, 2782, 540, 8828, 20548, 1833, 267, 15213, 2782, 267, 2782, 540, 1530, 20896, 267, 1256, 11135, 1063, 3345, 543, 3162, 2427, 540, 519, 2136, 2276, 267, 543, 1977, 630, 4785, 264, 3345, 4149, 1926, 2782, 941, 1031, 269, 769, 1022, 2013, 267, 519, 7980, 689, 31684, 945, 6039, 538, 519, 2782, 540, 476, 5908, 272, 616, 7396, 267, 1519, 835, 30546, 589, 269, 670, 1446, 267, 945, 11438, 713, 6093, 2112, 2594, 912, 11243, 281, 670, 1446, 267, 30546, 589, 269, 20330, 14630, 540, 21821, 618, 281, 4239, 269, 476, 279, 267, 2048, 8618, 454, 14630, 540, 1590, 518, 281, 4239, 269, 476, 1428, 267, 2048, 8618, 454, 300, 755, 1229, 856, 281, 4239, 269, 476, 2764, 267, 11313, 5038, 267, 700, 339, 269, 2051, 1862, 3367, 593, 1862 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 9502, 585, 513, 9352, 3529, 6843, 23228, 258, 1362, 30741, 6769, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 8029, 258, 1363, 1582, 22183, 815, 1535, 1477, 258, 1363, 1582, 16000, 815, 7183, 1477, 258, 1363, 1582, 16192, 815, 7183, 5897, 5035, 8827, 6769, 825, 1219, 15044, 26161, 2414, 289, 4306, 4311, 267, 15358, 281, 5903, 27776, 316, 8029, 1038, 952, 711, 15358, 281, 8873, 7183, 21506, 1038, 4571, 284, 6352, 25225, 264, 2260, 273, 1477, 1038, 3597, 284, 21698, 11966, 25225, 314, 13232, 29573, 1038, 952, 4571, 285, 271, 6769, 2018, 3597, 16000, 284, 11405, 4732, 9285, 26161, 2414, 289, 4306, 4311, 19885, 4548, 11468, 13232, 29573, 1038, 952, 4571, 283, 6352, 25225, 9984, 272, 6769, 2018, 3597, 16192, 284, 11405, 4732, 9285, 26161, 2414, 289, 4306, 4311, 19885, 4548, 314, 13232, 266, 272, 281, 29573, 1038, 2132, 3597, 1477, 258, 323, 2632, 723, 547, 946, 952, 3948, 607, 950, 15358, 1205, 14275, 1871, 621, 1869, 1568, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12709, 692, 16534, 1022, 1966, 630, 21163, 676, 1900, 3435, 264, 18452, 3349, 630, 30467, 267, 10803, 994, 300, 1712, 10778, 11405, 20055, 454, 11405, 786, 581, 10268, 1900, 676, 1900, 630, 1103, 476, 273, 2694, 994, 11405, 454, 19370, 281, 667, 22866, 16338, 267, 476, 273, 343, 317, 274, 268, 275, 343, 266, 272, 267, 1496, 273, 267, 275, 3910, 1535, 284, 273, 269, 272, 267, 554, 284, 271, 269, 1839, 1496, 18185, 267, 6396, 543, 1806, 476, 6540, 11405, 912, 7312, 1966, 9847, 667, 22866, 16338, 267, 476, 273, 343, 317, 274, 268, 275, 343, 266, 272, 267, 1496, 273, 267, 275, 3910, 1535, 284, 273, 269, 272, 267, 554, 284, 271, 269, 1839, 692, 13420, 566, 568, 535, 3287, 264, 815, 476, 273, 343, 317, 274, 268, 275, 343, 266, 272, 780, 763, 1871, 540, 3349, 585, 2473, 543, 962, 692, 2473, 962, 476, 273, 476, 273, 269, 1839, 476, 273, 269, 276, 476, 273, 269, 4037, 476, 274, 476, 274, 269, 1839, 476, 274, 269, 276, 476, 274, 269, 4037, 476, 275, 476, 280, 476, 1691, 269, 4281, 272, 273, 476, 2420, 269, 1839, 476, 4029, 269, 6795, 274, 279, 476, 6246, 476, 6321, 269, 4792, 277, 273, 476, 7761, 269, 4037, 476, 11011, 269, 5379, 279, 279, 476, 13647, 692, 301, 10179, 673, 5258, 3604, 1505, 547, 1265, 3070, 454, 6124, 2023, 781, 5258, 3017, 3349, 568, 607, 5205, 563, 2473, 962, 11583, 264, 476, 272, 22677, 560, 264, 1931, 476, 273, 22677, 526, 264, 1931, 476, 274, 22677, 6113, 264, 1931, 476, 275, 22677, 628, 264, 1931, 476, 273, 476, 280, 476, 2537, 269, 10219, 476, 273, 269, 1839, 476, 1691, 269, 4281, 272, 273, 476, 1724, 269, 276, 476, 3066, 269, 279, 4037, 476, 273, 476, 273, 269, 276, 476, 2420, 269, 1839, 476, 1428, 476, 271, 476, 4391, 269, 23841, 476, 273, 476, 273, 269, 4037, 476, 4029, 269, 6795, 274, 279, 476, 1626, 269, 276, 476, 271, 476, 3393, 269, 27698, 476, 273, 476, 274, 476, 6246, 476, 1240, 476, 271, 476, 7918, 269, 27698, 476, 273, 476, 274, 269, 1839, 476, 6321, 269, 4792, 277, 273, 476, 866, 269, 276, 476, 271, 476, 5038, 269, 23841, 476, 273, 476, 274, 269, 276, 476, 7761, 269, 4037, 476, 2641, 476, 271, 476, 10619, 269, 279, 4037, 476, 273, 476, 274, 269, 4037, 476, 11011, 269, 5379, 279, 279, 476, 2420, 269, 276, 476, 10436, 269, 10219, 476, 275, 476, 13647, 692, 763, 1871, 540, 1535, 693, 596, 1616, 547, 1265, 519, 535, 3287, 264, 2433, 1535, 815, 476, 273, 269, 272, 692, 312, 3287, 264, 815, 586, 318, 271, 1341, 630, 343, 910, 1535, 318, 271, 264, 535, 20572, 318, 271, 267, 1535, 318, 272, 316, 1341, 630, 343, 910, 1535, 318, 271, 7565, 343, 910, 1535, 318, 272, 264, 535, 20572, 318, 271, 267, 1535, 318, 272, 267, 1535, 318, 273, 316, 1341, 630, 343, 910, 1535, 318, 271, 7565, 343, 910, 1535, 318, 272, 7565, 343, 910, 1535, 318, 273, 264, 535, 20572, 318, 271, 267, 1535, 318, 272, 267, 1535, 318, 273, 267, 1535, 318, 274, 316, 1341, 630, 343, 910, 1535, 318, 271, 7565, 343, 910, 1535, 318, 272, 7565, 343, 910, 1535, 318, 273, 7565, 343, 910, 1535, 318, 274, 264, 535, 20572, 318, 271, 267, 1535, 318, 272, 267, 1535, 318, 273, 267, 1535, 318, 274, 267, 1535, 318, 275, 6540, 11405, 3177, 676, 589, 1729, 313, 4118, 2593, 454, 12179, 4636, 3070, 267, 3070, 6454, 267, 5955, 1287, 4427, 2466, 3371, 454, 23763, 547, 917, 827, 589, 1729, 313, 4118, 2593, 543, 803 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 23586, 4542, 692, 763, 7503, 3815, 689, 17744, 547, 12919, 568, 476, 272, 269, 271, 292, 268, 276, 267, 799, 1797, 602, 476, 272, 1298, 9014, 568, 3160, 547, 476, 272, 269, 271, 292, 268, 276, 12919, 1384, 272, 4699, 815, 476, 272, 269, 271, 292, 268, 276, 5998, 692, 2414, 6460, 476, 1321, 269, 280, 17744, 883, 12919, 649, 723, 547, 9062, 476, 1321, 269, 280, 676, 519, 7503, 3815, 538, 1931, 547, 1205, 519, 3259, 2179, 689, 17744, 547, 12919, 269, 1284, 666, 849, 1106, 513, 2241, 8167, 547, 5173, 519, 1267, 1384, 272, 4699, 9890, 476, 272, 269, 271, 292, 268, 276, 5998, 692, 1321, 269, 280, 4699, 9890, 700, 263, 14790, 2020, 24169, 519, 1657, 8167, 547, 3489, 519, 3259, 700, 538, 12919, 1384, 299, 263, 14790, 264, 815, 476, 1321, 269, 280, 4699, 6398, 476, 272, 269, 271, 292, 268, 276, 5998, 692, 299, 263, 14790, 264, 815, 476, 271, 269, 1822, 15782, 5998, 692, 763, 3803, 1267, 568, 1384, 1321, 269, 280, 4699, 9890, 476, 271, 269, 1822, 15782, 5998, 692, 2171, 9959, 602, 476, 1321, 269, 280, 17744, 568, 6697, 547, 476, 271, 269, 1822, 15782, 12919, 1384, 1321, 269, 280, 17744, 815, 476, 271, 269, 1822, 15782, 12919, 692, 1012, 20010, 7503, 692, 2171, 666, 849, 6460, 676, 9001, 519, 11201, 1871, 540, 519, 7503, 3815, 269, 769, 713, 2013, 476, 272, 9481, 518, 568, 3160, 547, 476, 278, 4037, 272, 269, 280, 4391, 7176, 275, 5392, 277, 272, 6398, 476, 1321, 269, 280, 17744, 780, 5194, 1259, 568, 6031, 602, 476, 1321, 269, 280, 17744, 568, 3160, 547, 476, 272, 21680, 476, 278, 4037, 272, 269, 280, 4391, 7176, 275, 5392, 277, 272, 12919, 780, 1012, 20976, 1493, 1267, 692, 2690, 4052, 5301, 649, 666, 5180, 938, 3803, 1267, 547, 606, 16977, 10230, 1871, 269, 1284, 666, 2161, 602, 12964, 1448, 8370, 17744, 568, 5111, 4642, 12919, 1384, 1321, 269, 280, 4699, 9881, 483, 476, 271, 5998, 692, 2304, 4244, 568, 849, 602, 835, 9481, 518, 568, 5111, 5722, 8536, 5722, 4627, 15823, 14633, 1448, 8370, 1614, 5216, 2053, 12964, 1448, 8370, 17744, 780, 1012, 23586, 3349, 692, 2162, 17744, 547, 12919, 5750, 692, 2690, 2656, 4704, 5301, 267, 2630, 568, 519, 7503, 3349, 596, 666, 946, 547, 6460, 689, 17744, 547, 12919, 692, 1417, 12281, 630, 9492, 264, 12919, 630, 14790, 994, 1724, 269, 280, 17744, 476, 271, 12919, 454, 1691, 269, 280, 17744, 476, 271, 12919, 454, 1428, 269, 280, 17744, 476, 271, 12919, 454, 1626, 269, 280, 17744, 476, 271, 12919, 454, 1704, 269, 280, 17744, 476, 271, 12919, 454, 1240, 269, 280, 17744, 476, 271, 12919, 454, 866, 269, 280, 17744, 476, 271, 12919, 454, 736, 269, 280, 17744, 476, 271, 12919, 454, 2641, 269, 280, 17744, 476, 271, 12919, 454, 2420, 269, 280, 17744, 476, 271, 12919 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 9045, 8734, 476, 2764, 476, 5400, 281, 6321, 281, 3374, 476, 1001, 276, 692, 287, 10461, 281, 700, 312, 454, 20701, 3698, 546, 2414, 289, 3799, 267, 1003, 14707, 1080, 2187, 825, 5727, 7528, 2231, 281, 562, 568, 513, 2067, 1297, 1447, 982, 476, 273, 1262, 11133, 14707, 1080, 454, 8587, 7024, 513, 9352, 5569, 540, 3259, 1003, 14707, 1080, 8204, 519, 454, 23526, 519, 8918, 1297, 562, 27969, 454, 825, 7682, 1826, 3799, 264, 2525, 842, 543, 1826, 16325, 14707, 1080, 264, 2525, 842, 543, 562, 13843, 271, 543, 562, 2999, 476, 273, 1262, 11133, 14707, 1080, 454, 825, 536, 18360, 815, 1412, 7055, 825, 1247, 562, 3436, 476, 271, 912, 1038, 536, 18360, 815, 1193, 3799, 4939, 476, 273, 264, 1341, 536, 18360, 454, 1038, 562, 815, 562, 2260, 273, 454, 825, 1247, 1003, 14707, 1080, 910, 7003, 6357, 18360, 264, 3436, 476, 271, 912, 1038, 536, 18360, 815, 1412, 271, 262, 1341, 536, 18360, 454, 825, 2132, 536, 18360, 19638, 258, 5352, 782, 10659, 540, 715, 3688, 454, 3698, 1379, 13729, 263, 19477, 2187, 825, 715, 815, 7003, 263, 19477, 994, 825, 1820, 1412, 715, 815, 1412, 1341, 1193, 18217, 264, 3097, 825, 1820, 1412, 13117, 7529, 4499, 7055, 825, 1948, 26246, 519, 476, 273, 1262, 301, 2009, 10659, 454, 825, 585, 1775, 538, 1535, 9792, 263, 273, 1262, 301, 2187, 1038, 1820, 1412, 328, 815, 1412, 1341, 1193, 9217, 264, 1341, 262, 476, 4534, 15010, 1412, 2676, 1038, 1820, 546, 2414, 289, 9217, 267, 715, 994, 1038, 2036, 334, 815, 11713, 1038, 585, 795, 538, 1535, 9792, 18217, 2187, 2018, 1820, 1412, 476, 795, 815, 1412, 1341, 1193, 27203, 264, 1341, 22207, 1412, 2676, 2018, 1820, 630, 328, 23645, 795, 264, 4939, 476, 273, 454, 2018, 1948, 1449, 3787, 795, 628, 540, 8870, 1775, 454, 2018, 952, 630, 328, 23645, 795, 264, 4939, 476, 273, 2652, 476, 272, 912, 3546, 2036, 334, 6910, 263, 19477, 14728, 7481, 1038, 1820, 2036, 334, 454, 1038, 6556, 2036, 334, 7531, 19477, 815, 18358, 320, 3299, 1412, 321, 3299, 1412, 322, 23300, 320, 815, 1379, 13729, 263, 19477, 994, 1721, 1775, 538, 1535, 9792, 263, 273, 1262, 6352, 263, 19477, 15892, 825, 513, 12785, 4590, 825, 1820, 1412, 13117, 7529, 4499, 262, 19638 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5035, 29571, 24998, 2187, 22592, 6449, 8181, 9191, 1345, 2073, 2450, 2187, 453, 453, 258, 590, 4953, 1283, 15871, 272, 2073, 1491, 2450, 543, 3651, 547, 4756, 454, 453, 19677, 11519, 9008, 815, 910, 272, 454, 453, 19677, 11519, 21653, 815, 2450, 454, 453, 19677, 11519, 23637, 815, 1496, 14085, 585, 1775, 538, 2039, 4311, 11519, 21653, 22708, 453, 453, 258, 476, 4259, 9551, 775, 3267, 3097, 453, 19677, 14857, 2181, 1027, 775, 815, 2715, 257, 266, 257, 2433, 272, 2073, 29038, 257, 2433, 476, 272, 2073, 834, 265, 9899, 273, 2073, 834, 270, 257, 2433, 273, 2437, 260, 257, 2433, 273, 2073, 834, 317, 9899, 274, 10926, 453, 258, 8111, 4147, 2433, 7003, 263, 23637, 264, 22322, 22592, 6449, 6352, 9191, 1345, 2187, 453, 16596, 1582, 11519, 21653, 454, 453, 258, 4159, 519, 10518, 454, 22592, 4159, 4311, 2187, 453, 14851, 1582, 11519, 9008, 11203, 910, 272, 912, 4848, 453, 23637, 307, 11391, 815, 1496, 328, 585, 1775, 538, 1582, 11519, 23637, 952, 1775, 256, 284, 14085, 2639, 4848, 13537, 263, 23637, 307, 11391, 994, 453, 28432, 912, 4848, 13537, 2891, 1805, 871, 568, 8900, 8206, 5602, 453, 258, 7024, 6936, 952, 10518, 568, 8900, 630, 8974, 6503, 7873, 527, 517, 264, 3116, 8771, 454, 22592, 568, 10387, 27679, 4311, 2187, 453, 14851, 1582, 11519, 9008, 2652, 910, 272, 912, 4848, 16596, 6936, 454, 453, 28432, 912, 4848, 16596, 8771, 454, 453, 258, 7024, 6936, 952, 10518, 568, 2407, 630, 1478, 6503, 7873, 527, 517, 264, 3116, 8771, 692, 22592, 568, 17359, 4311, 2187, 453, 14851, 1582, 11519, 9008, 2652, 7003, 4311, 11519, 23637, 264, 910, 272, 912, 4848, 16596, 6936, 454, 453, 28432, 912, 4848, 16596, 8771, 454, 453, 258, 533, 1276, 1766, 26559, 517, 585, 10518, 454, 22592, 7903, 4311, 2073, 6221, 17107, 453, 14851, 1582, 18994, 17359, 10031, 4848, 453, 571, 1047, 1401, 4003, 2891, 7021, 6503, 5602, 453, 28432, 912, 4848, 19677, 11519, 9008, 23785, 272, 454, 4848, 19677, 11519, 23637, 314, 1345, 11519, 9008, 316, 815, 6221, 454, 453, 258, 1402, 1766, 26559, 517, 585, 10518, 9847, 1402, 338, 856, 519, 6221, 799, 568, 693, 1283, 540, 10518, 7024, 621, 692, 22592, 1402, 4311, 2187, 4848, 454, 453, 14851, 1582, 18994, 10387, 27679, 10031, 4848, 453, 571, 1047, 1401, 4003, 2891, 15152, 6503, 5602, 453, 28432, 912, 4848, 19677, 11519, 23637, 314, 1345, 11519, 9008, 316, 2073, 6221, 815, 7183, 2073, 1582, 11519, 23637, 314, 1345, 11519, 9008, 2639, 4848, 19677, 11519, 9008, 268, 284, 272, 454, 4848, 16596, 6221, 454, 453, 258, 7024, 519, 6221, 799, 568, 693, 1283, 540, 10518, 1510, 1402, 4771, 454, 22592, 1283, 4311, 2187, 453, 14851, 1582, 18994, 10387, 27679, 10031, 4848, 453, 571, 1047, 1401, 4003, 2891, 15152, 6503, 5602, 453, 28432, 912, 4848, 19677, 14857, 31184, 1805, 871, 815, 1496, 328, 585, 1775, 538, 1582, 11519, 23637, 952, 1775, 256, 284, 14085, 2639, 4848, 453, 9008, 292, 12661, 815, 1582, 14857, 31184, 1805, 871, 15631, 272, 2639, 4848, 16596, 1283, 292, 12661 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1477, 5814, 21267, 28272, 607, 12301, 1477, 5228, 4351, 16062, 1779, 272, 1104, 15932, 310, 1779, 5897, 6112, 6936, 6769, 825, 678, 342, 815, 15932, 310, 1779, 14052, 825, 678, 342, 8807, 650, 16062, 1779, 31476, 825, 533, 842, 5332, 13246, 815, 1592, 263, 9792, 16868, 342, 8542, 636, 318, 9557, 17903, 825, 12301, 31892, 2660, 16868, 342, 11859, 28767, 267, 678, 342, 13885, 28767, 267, 524, 815, 533, 842, 5332, 13246, 267, 4699, 777, 815, 12301, 6983, 332, 269, 7922, 1132, 267, 6316, 10233, 6889, 333, 821, 2580, 521, 284, 1428, 3418, 825, 12301, 20481, 31476, 825, 15981, 24708, 4573, 2118, 4351, 3802, 18257, 5897, 825, 5401, 815, 3403, 2891, 4777, 596, 1616, 547, 14477, 3802, 1586, 286, 263, 312, 21610, 264, 14744, 825, 952, 5401, 2652, 834, 301, 257, 6769, 1038, 2736, 1477 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 1554, 476, 272, 4161, 692, 3698, 1292, 10031, 453, 322, 3300, 815, 476, 271, 453, 258, 4881, 2698, 3097, 453, 16308, 6831, 12420, 815, 1305, 3890, 453, 258, 1699, 9103, 1023, 2938, 865, 2484, 454, 453, 338, 1828, 318, 272, 815, 7183, 453, 453, 258, 519, 1439, 1267, 540, 3403, 17902, 454, 453, 338, 1828, 318, 273, 815, 7183, 453, 453, 258, 519, 1101, 7368, 1871, 540, 4831, 454, 453, 6112, 711, 3070, 318, 273, 912, 453, 453, 5976, 1930, 3488, 6358, 17902, 10807, 607, 3758, 912, 4848, 22610, 1899, 538, 3758, 912, 15235, 453, 28072, 267, 1871, 815, 1899, 314, 271, 3910, 703, 263, 1467, 314, 272, 281, 8079, 453, 258, 1205, 519, 3056, 11346, 543, 18232, 1871, 454, 15235, 14851, 11346, 2652, 834, 266, 13426, 20930, 453, 322, 3300, 6834, 1871, 454, 15235, 453, 19197, 11346, 2652, 29038, 13426, 20930, 453, 322, 3300, 20699, 1871, 454, 15235, 28432, 912, 20930, 453, 571, 1047, 28759, 6600, 257, 346, 28072, 348, 3403, 711, 4397, 15419, 15235, 14851, 4831, 538, 2938, 6831, 12420, 543, 711, 3070, 318, 273, 281, 453, 258, 1101, 7368, 4831, 454, 20930, 453, 338, 1828, 318, 273, 815, 4831, 1948, 4558, 519, 1871, 540, 1767, 4831, 454, 15235, 28432, 912, 20930, 453, 16308, 6831, 12420, 14491, 6262, 3300, 264, 1948, 1039, 1699, 4831, 547, 2938, 6831, 12420, 692, 453, 14851, 711, 3070, 318, 272, 912, 4848, 453, 338, 1828, 318, 272, 815, 4831, 453, 258, 1310, 1101, 2196, 998, 3403, 267, 4558, 519, 1871, 540, 4831, 692, 13537, 6600, 257, 338, 1828, 476, 272, 281, 2715, 338, 1828, 318, 272, 348, 5602, 13537, 6600, 257, 338, 1828, 476, 273, 281, 2715, 338, 1828, 318, 273, 348, 15419, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 453, 10852, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 2607, 8213, 568, 513, 1950, 2783, 602, 568, 3361, 676, 2789, 2188, 267, 1519, 519, 14278, 1670, 3601, 540, 519, 3075, 3294, 543, 519, 1367, 779, 4719, 17539, 269, 1717, 267, 835, 540, 519, 1034, 1271, 2188, 538, 8213, 568, 519, 2634, 563, 763, 2634, 568, 3743, 585, 9013, 938, 2623, 543, 30181, 267, 543, 621, 568, 2219, 547, 581, 3226, 7925, 547, 519, 2942, 2360, 540, 22925, 5061, 269, 1411, 666, 849, 6330, 1934, 547, 917, 811, 827, 3075, 8213, 563, 15862, 11905, 281, 5616, 454, 2691, 606, 22925, 3075, 568, 3144, 5781, 267, 922, 3114, 9043, 3587, 5432, 547, 519, 2634, 267, 799, 6238, 547, 3082, 538, 1931, 547, 4309, 519, 3075, 811, 3362, 269, 901, 1184, 666, 18385, 1689, 519, 1259, 519, 2634, 20781, 547, 824, 6878, 267, 1818, 873, 5051, 10694, 607, 1761, 2959, 540, 12257, 563, 1103, 1840, 547, 4657, 875, 519, 2634, 20781, 547, 22925, 5061, 267, 5312, 946, 540, 891, 6878, 666, 849, 3441, 1978, 2127, 540, 621, 269, 901, 3441, 666, 2014, 2242, 538, 8229, 2281, 267, 799, 666, 1291, 547, 8213, 5829, 5615, 971, 607, 31017, 3075, 946, 610, 4797, 946, 1256, 950, 621, 779, 4929, 1713, 2800, 547, 1312, 2790, 543, 2168, 1072, 563, 4407, 972, 568, 1100, 2582, 2014, 540, 3075, 8213, 267, 1620, 875, 519, 2634, 8309, 547, 713, 2783, 568, 1898, 585, 28530, 621, 269, 1635, 1620, 875, 22925, 5061, 1764, 519, 2634, 267, 649, 666, 1732, 2697, 1346, 693, 1981, 585, 3384, 8213, 543, 960, 4724, 3246, 873, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 23389, 21917, 267, 1418, 626, 543, 3771, 1186, 747, 867, 626, 454, 297, 2129, 2335, 918, 7795, 333, 879, 630, 277, 4989, 476, 14917, 271, 1107, 476, 276, 4873, 476, 15094, 273, 264, 729, 513, 4436, 21917, 269, 1261, 729, 519, 18085, 528, 540, 519, 774, 558, 2532, 1844, 515, 1354, 20435, 1530, 30807, 1014, 29732, 563, 298, 7795, 333, 879, 729, 4535, 538, 2983, 2358, 269, 3571, 1920, 3357, 689, 4425, 1335, 807, 269, 1261, 6594, 538, 667, 637, 6577, 543, 2098, 8636, 879, 269, 1261, 4682, 547, 519, 2274, 760, 345, 580, 2160, 547, 1353, 1876, 269, 1261, 2968, 606, 1418, 626, 693, 519, 774, 558, 2532, 1844, 515, 538, 476, 12739, 275, 269, 1261, 2968, 519, 18085, 528, 540, 519, 774, 558, 2532, 1844, 515, 538, 476, 10204, 272, 269, 1717, 267, 646, 729, 1419, 7210, 269, 1261, 7948, 1405, 2328, 513, 2603, 540, 2575, 269, 1924, 267, 519, 4884, 14643, 1577, 9677, 10218, 17791, 10458, 2328, 2575, 585, 519, 774, 558, 2532, 1844, 515, 269, 901, 729, 7363, 918, 7795, 333, 879, 781, 2816, 269, 918, 7795, 333, 879, 729, 711, 6126, 1317, 540, 713, 269, 1261, 5747, 538, 2274, 760, 345, 580, 563, 268, 20875, 645, 3241, 578, 267, 6723, 808, 269, 630, 1220, 272, 1040, 834, 298, 7795, 333, 879, 1496, 298, 7795, 333, 267, 595, 684, 334, 3910, 20435, 2668, 717, 17311, 8535, 6732, 630, 279, 628, 1196, 12175, 10228, 2160, 4964, 269, 8222, 281, 1015, 269, 11820, 274, 17320, 15879, 270, 7818, 14444, 14689, 28091, 271, 269, 14835, 269, 14444, 5655, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 763, 2179, 15882, 3565, 547, 519, 1977, 4346, 1142, 1032, 454, 5804, 519, 29437, 454, 19547, 624, 532, 543, 7863, 6928, 342, 516, 4242, 689, 561, 17415, 543, 642, 663, 16117, 8309, 547, 1279, 3856, 11091, 540, 1271, 2686, 2200, 543, 3152, 3255, 547, 1312, 1451, 543, 2671, 741, 5222, 593, 938, 1686, 563, 5649, 606, 7650, 540, 519, 4279, 2782, 267, 1519, 513, 2489, 15415, 267, 1764, 267, 543, 519, 1909, 540, 7147, 563, 8025, 290, 779, 4013, 12139, 5627, 3377, 543, 5796, 827, 11091, 3785, 267, 7147, 685, 8978, 4609, 267, 543, 6561, 9235, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 692, 288, 815, 1496, 272, 2073, 274, 267, 476, 276, 267, 476, 278, 6540, 289, 815, 1496, 273, 2073, 476, 275, 267, 476, 277, 267, 476, 279, 6540, 290, 815, 1496, 1556, 267, 476, 1321, 267, 476, 1724, 267, 476, 1691, 6540, 322, 691, 14198, 7272, 6055, 815, 27883, 320, 14720, 22698, 264, 585, 513, 538, 589, 585, 536, 538, 645, 585, 524, 538, 595, 6540, 454, 2745, 6262, 691, 14198, 7272, 6055, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 2026, 2278, 543, 3879, 15249, 267, 7323, 2423, 548, 25747, 10905, 1200, 15421, 538, 713, 9488, 543, 13801, 6609, 540, 606, 8966, 1641, 269, 21624, 5013, 32736, 607, 1352, 15244, 519, 6208, 267, 4162, 267, 3252, 543, 1686, 540, 1312, 26768, 543, 645, 716, 6929, 4342, 1564, 269, 2701, 1287, 31782, 5717, 540, 519, 1585, 18939, 540, 519, 4342, 601, 282, 519, 561, 4594, 320, 267, 1368, 534, 23147, 543, 18755, 340, 269, 1284, 1451, 875, 4342, 1564, 616, 8036, 547, 4163, 9126, 16372, 267, 1018, 741, 8741, 1431, 616, 899, 267, 543, 538, 799, 10923, 1858, 1142, 2249, 568, 1336, 269, 4563, 543, 3043, 12400, 9414, 3604, 1063, 519, 2831, 543, 14219, 1508, 1346, 5013, 811, 2352, 547, 14650, 269, 589, 5227, 1840, 547, 519, 5399, 540, 1022, 1762, 3662, 24158, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2005, 568, 4867, 476, 2420, 8734, 476, 1001, 278, 267, 476, 876, 281, 4343, 692, 2162, 17918, 11833, 11545, 16721, 692, 2971, 11289, 596, 585, 1210, 519, 22245, 910, 713, 4359, 1907, 666, 7447, 707, 2773, 543, 2303, 811, 2259, 2055, 269, 1284, 723, 20401, 539, 596, 547, 11545, 16721, 5999, 3842, 4757, 780, 20578, 1242, 454, 1721, 1411, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 9199, 1188, 692, 22336, 3018, 267, 649, 3580, 6494, 596, 606, 6059, 17918, 6060, 1759, 593, 707, 2773, 692, 20797, 454, 303, 904, 692, 933, 786, 4584, 1007, 2055, 602, 6474, 707, 1377, 1759, 593, 707, 7033, 518, 3778, 692, 258, 15638, 1299, 8871, 19600, 692, 30607, 15638, 1299, 8871, 19600, 538, 4873, 454, 15411, 26346, 25038, 692, 258, 1280, 799, 540, 519, 1739, 3252, 568, 535, 5416, 17070, 6661, 325, 5416, 11924, 325, 6357, 264, 585, 692, 12041, 24606, 454, 25938, 1640, 15440, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 277, 454, 15803, 281, 476, 26562, 692, 20132, 19560, 476, 4037, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2690, 799, 540, 519, 1739, 3252, 568, 535, 5416, 17070, 6661, 325, 5416, 11924, 325, 6357, 264, 585, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 6860, 4455, 476, 1220, 278, 267, 476, 2641, 281, 3953, 454, 876, 281, 876, 692, 11795, 22187, 1384, 18217, 12458, 2020, 9223, 853, 1846, 1384, 1911, 260, 630, 876, 281, 6349, 264, 2953, 476, 271, 260, 630, 876, 281, 876, 264, 4636, 1759, 593, 476, 280, 7886, 692, 2162, 31674, 17004, 22245, 10803, 692, 1607, 1888, 568, 19526, 269, 1403, 596, 1616, 547, 1865, 713, 2243, 5225, 556, 1790, 739, 621, 538, 519, 9757, 8468, 780, 2690, 799, 540, 519, 1739, 3252, 568, 535, 5416, 17070, 6661, 325, 5416, 11924, 325, 6357, 264, 585, 782, 2318, 2338, 513, 543, 536, 2496, 320, 264, 325, 3287, 6661, 343, 317, 273, 692, 321, 264, 325, 3287, 6661, 343, 266, 272, 692, 322, 264, 325, 3287, 6661, 338, 13645, 476, 275, 692, 323, 264, 325, 3287, 6661, 273, 24474, 692, 324, 264, 325, 3287, 6661, 268, 274, 343, 692, 20132, 19560, 476, 4037, 1496, 271, 3910, 2016, 281, 476, 271, 692, 12421, 454, 16274, 281, 476, 6860, 2904, 476, 1220, 275, 454, 15803, 281, 476, 5325, 692, 20132, 19560, 476, 4097, 1496, 271, 3910, 2016, 281, 476, 271, 692, 19613, 281, 3127, 692, 2162, 8058, 16193, 692, 6860, 4455, 476, 1220, 278, 267, 476, 2537, 281, 3066, 454, 26594, 1871, 18839, 27250, 320, 264, 325, 3287, 6661, 343, 317, 273, 692, 343, 815, 276, 267, 535, 343, 815, 1839, 454, 320, 284, 272, 267, 536, 284, 275, 267, 535, 629, 284, 1704, 12971, 692, 321, 264, 325, 3287, 6661, 343, 266, 272, 454, 343, 284, 276, 267, 535, 343, 284, 277, 454, 320, 284, 275, 14720, 284, 272, 267, 325, 629, 284, 278, 692, 322, 264, 325, 3287, 6661, 338, 13645, 476, 275, 454, 1432, 568, 4009, 476, 275, 11631, 286, 2496, 323, 264, 325, 3287, 6661, 273, 24474, 454, 343, 284, 279, 267, 535, 343, 284, 272, 270, 275, 454, 320, 284, 275, 267, 536, 284, 275, 267, 535, 629, 284, 476, 272, 692, 324, 264, 325, 3287, 6661, 268, 274, 343, 454, 343, 284, 276, 267, 535, 343, 15871, 1428, 454, 320, 284, 275, 267, 536, 284, 272, 267, 535, 629, 15871, 1321, 268, 274, 15871, 1428, 692, 338, 15384, 325, 625, 3267, 1776, 1239, 1305, 547, 1118, 2386, 454, 343, 284, 279, 267, 535, 343, 15871, 2190, 454, 320, 284, 277, 14720, 284, 273, 267, 535, 629, 15871, 1240, 268, 277, 15871, 2190, 692, 20132, 19560, 476, 4097, 1496, 271, 3910, 2016, 281, 476, 271, 692, 17445, 528, 454, 16274, 281, 476, 1691, 3967, 476, 1220, 278, 454, 15803, 281, 476, 278, 4037, 692, 20132, 19560, 476, 9692, 1496, 271, 3910, 2016, 281, 476, 271, 692, 2162, 8058, 16193, 692, 4962, 4455, 476, 1220, 278, 267, 476, 6349, 281, 2767, 454, 5408, 519, 1739, 2022, 2807, 12895, 7778, 10756, 10674, 2517, 4178, 3052, 3901, 743, 889, 2593, 270, 874, 335, 6277, 270, 1613, 339, 8084, 21703, 286, 339, 284, 30306, 4792, 692, 20132, 19560, 476, 9692, 1496, 271, 3910, 2016, 281, 476, 271, 692, 4962, 4455, 476, 1220, 278, 267, 476, 6349, 281, 2767, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 26417, 22322, 8931, 16344, 17575, 815, 834, 30956, 5661, 27406, 4840, 26753, 815, 18358, 11243, 3299, 1412, 21848, 3299, 1412, 11754, 816, 11172, 567, 692, 2745, 3488, 8702, 547, 519, 3593, 3877, 15440, 8206, 8627, 5073, 258, 1039, 3593, 3877, 454, 3698, 1039, 27165, 10031, 825, 2012, 815, 3403, 3488, 11767, 519, 2012, 281, 30386, 825, 2085, 476, 815, 3403, 3488, 11767, 519, 2085, 281, 30386, 825, 2232, 815, 3403, 3488, 11767, 519, 2232, 281, 1412, 2020, 825, 1007, 992, 815, 314, 4067, 267, 2085, 267, 2232, 2639, 825, 952, 9343, 11203, 834, 13426, 1038, 9343, 6910, 28956, 992, 264, 22322, 825, 609, 1930, 6600, 32327, 267, 1412, 342, 10807, 607, 26417, 12803, 912, 13872, 1038, 26417, 23116, 815, 26417, 9884, 31581, 6262, 12364, 12803, 264, 22322, 1038, 26417, 23116, 9884, 31581, 578, 6600, 3658, 264, 19930, 454, 1038, 26417, 23116, 9884, 31581, 3298, 263, 4900, 9239, 258, 1205, 519, 3593, 17609, 454, 3698, 3593, 8266, 10031, 825, 609, 1930, 6600, 32327, 267, 7154, 815, 262, 337, 10807, 607, 3758, 281, 3097, 8931, 1038, 3758, 5649, 518, 815, 26417, 18667, 518, 31526, 994, 1038, 585, 3515, 538, 3758, 5649, 518, 281, 3097, 2018, 1820, 263, 6050, 264, 672, 7531, 258, 1711, 513, 8900, 1592, 454, 4900, 815, 29129, 258, 519, 1982, 568, 14892, 476, 1556, 2053, 454, 1721, 1775, 538, 2039, 263, 1015, 2187, 825, 454, 825, 1820, 3488, 5257, 11767, 476, 272, 547, 5410, 513, 3593, 538, 1592, 8206, 2336, 11767, 476, 273, 547, 5192, 519, 1592, 540, 3755, 8206, 2336, 11767, 476, 274, 547, 1401, 527, 519, 1982, 8206, 256, 15234, 5073, 825, 4781, 815, 703, 9272, 3488, 15675, 707, 4781, 2433, 1412, 11723, 825, 952, 4781, 2652, 476, 272, 912, 1038, 1039, 27165, 4590, 825, 8640, 4781, 2652, 476, 273, 912, 1038, 3593, 8266, 4590, 825, 3116, 10778, 1038, 1820, 3488, 2750, 527, 519, 1982, 8206, 5073, 1038, 2736, 692 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3698, 535, 31247, 16325, 2187, 825, 733, 267, 535, 31247, 815, 476, 272, 267, 476, 272, 454, 825, 562, 815, 1003, 692, 825, 1247, 733, 11203, 1003, 912, 1038, 952, 562, 3436, 476, 272, 912, 2018, 535, 31247, 815, 535, 31247, 2608, 630, 333, 2608, 630, 333, 910, 476, 272, 4917, 2018, 733, 6834, 476, 272, 454, 2018, 562, 815, 562, 910, 476, 273, 454, 1038, 3116, 912, 2018, 2736, 454, 825, 2132, 535, 31247, 7531, 11133, 815, 703, 9272, 3488, 1103, 845, 324, 522, 1003, 3266, 6446, 964, 324, 10937, 26453, 518, 522, 694, 340, 535, 31247, 281, 1412, 4917, 14310, 5964, 815, 535, 31247, 16325, 994, 2745, 6600, 262, 302, 535, 31247, 632, 2715, 11133, 348, 20527, 2715, 14310, 5964, 348, 10807 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 293, 3271, 22450, 267, 849, 1634, 607, 8768, 8105, 267, 568, 519, 14713, 540, 5810, 585, 28480, 269, 898, 3322, 1587, 1646, 267, 5647, 267, 543, 15724, 1588, 2359, 269, 2368, 540, 519, 1158, 781, 1034, 4190, 5810, 616, 519, 1267, 540, 32550, 22450, 267, 1519, 24712, 267, 561, 25788, 267, 32482, 2354, 267, 543, 811, 269, 2755, 8768, 8105, 814, 1044, 1472, 585, 5553, 267, 621, 814, 1152, 5063, 13175, 547, 2744, 6284, 607, 513, 16048, 2872, 269, 769, 519, 2250, 267, 5810, 941, 6140, 6738, 585, 741, 16392, 610, 11477, 1871, 282, 2705, 267, 2221, 789, 616, 6738, 5097, 585, 741, 12716, 9029, 269, 901, 6521, 814, 1044, 9141, 676, 2242, 538, 7082, 7375, 543, 519, 1646, 540, 1007, 4066, 269, 1306, 513, 1267, 267, 32550, 22450, 568, 1631, 513, 3818, 1532, 11669, 13362, 2872, 602, 568, 4397, 547, 3136, 547, 1332, 538, 519, 1296, 547, 2097, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 9717, 2039, 543, 1101, 12045, 2418, 267, 1265, 5021, 28887, 692, 2971, 1284, 1723, 343, 788, 320, 692, 9792, 1496, 271, 267, 275, 6540, 271, 10922, 535, 21948, 343, 264, 10922, 274, 692, 6343, 568, 519, 5021, 1448, 2496, 810, 267, 594, 8263, 1535, 284, 274, 950, 535, 21948, 343, 6661, 275, 630, 817, 11167, 930, 4990, 540, 535, 3287, 264, 1225, 1324, 20733, 609, 519, 17242, 19527, 2810, 689, 476, 271, 1040, 3502, 2386, 875, 547, 1205, 586, 689, 972, 780, 16673, 2041, 8126, 564, 1899, 1862, 344, 284, 332, 343, 17070, 1862, 344, 14352, 275, 7565, 274, 11924, 321, 1862, 344, 284, 1321, 17070, 692, 8117, 1287, 1018, 568, 519, 586, 25435, 267, 536, 286, 1079, 26968, 985, 780, 2041, 523, 10010, 609, 713, 1510, 513, 1599, 269, 11289, 596, 585, 1022, 948, 780, 2971, 7729, 2678, 692, 13043, 12243, 692, 9792, 1496, 271, 267, 275, 6540, 271, 10922, 535, 21948, 343, 264, 10922, 274, 692, 6343, 568, 519, 5021, 1448, 2496, 810, 267, 594, 8263, 1535, 284, 274, 950, 535, 21948, 343, 6661, 275, 4429, 6011, 666, 1269, 325, 21948, 343, 6661, 275, 259, 952, 519, 12045, 2418, 616, 1269, 271, 1422, 548, 535, 21948, 343, 264, 1422, 548, 476, 274, 259, 26042, 2252, 519, 2039, 540, 513, 1599, 568, 1269, 314, 271, 267, 275, 316, 8961, 1287, 519, 5021, 1871, 540, 519, 1599, 568, 1269, 344, 284, 275, 259, 3267, 849, 267, 519, 2016, 8884, 540, 2418, 585, 1269, 325, 262, 259, 6920, 602, 1269, 325, 3287, 7751, 2760, 11081, 2429, 922, 6389, 780, 2971, 2979, 2006, 692, 2690, 636, 16065, 692, 9792, 1496, 271, 267, 275, 6540, 271, 10922, 535, 21948, 343, 264, 10922, 274, 692, 6343, 568, 519, 5021, 1448, 2496, 810, 267, 594, 8263, 1535, 284, 274, 950, 535, 21948, 343, 6661, 275, 630, 817, 11167, 930, 4990, 540, 535, 3287, 264, 1225, 1324, 20733, 609, 519, 17242, 19527, 2810, 689, 476, 271, 1040, 3502, 2386, 875, 547, 1205, 586, 689, 972, 780, 16673, 2041, 8126, 564, 1899, 1862, 344, 284, 332, 343, 17070, 1862, 344, 14352, 275, 7565, 274, 11924, 321, 1862, 344, 284, 1321, 17070, 692, 8117, 1287, 1018, 568, 519, 586, 25435, 267, 536, 286, 1079, 26968, 985, 780, 2041, 523, 10010, 609, 713, 1510, 513, 1599, 269, 11289, 596, 585, 1022, 948, 563, 22512, 995, 609, 16166, 269, 16186, 1797, 586, 2418, 267, 6389, 1797, 1535, 2418, 269, 594, 3513, 8263, 596, 5921, 6389, 1496, 271, 267, 275, 4940, 3973, 519, 5021, 568, 693, 535, 263, 275, 1070, 855, 609, 1100, 2417, 1344, 267, 602, 568, 782, 596, 666, 2161, 780, 2252, 596, 2731, 5921, 2039, 1496, 271, 267, 275, 3910, 1287, 476, 275, 568, 519, 5021, 1871, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 309, 601, 6290, 568, 519, 4287, 531, 3432, 540, 606, 1843, 538, 5163, 607, 606, 16315, 540, 922, 2557, 540, 1689, 538, 2990, 607, 4767, 689, 513, 1880, 7406, 540, 4704, 543, 607, 6027, 676, 513, 1880, 3044, 540, 942, 630, 324, 3052, 269, 476, 2568, 5998, 10774, 5087, 20129, 6393, 263, 2108, 309, 601, 6290, 892, 476, 1708, 273, 2020, 9743, 656, 10389, 6991, 382, 370, 692, 2252, 649, 2015, 3230, 341, 2330, 607, 6991, 543, 3230, 343, 2330, 607, 519, 12761, 630, 4219, 538, 2990, 264, 6152, 267, 1287, 649, 666, 2769, 519, 630, 13318, 656, 10389, 264, 6991, 540, 513, 9325, 610, 1843, 267, 693, 1022, 1880, 942, 3230, 339, 18079, 607, 519, 12045, 540, 519, 2990, 609, 2463, 547, 942, 1384, 11377, 31182, 2715, 341, 3686, 7807, 3916, 23214, 3189, 18773, 512, 4153, 1729, 476, 271, 7346, 2765, 11513, 18773, 11513, 31182, 2715, 343, 3686, 7346, 18773, 512, 3686, 284, 3189, 2765, 2715, 323, 3189, 31182, 2715, 343, 3686, 2410, 19049, 3686, 9681, 263, 2108, 309, 601, 6290, 892, 476, 1708, 273, 264 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4495, 972, 729, 513, 12703, 7952, 7911, 3957, 15952, 517, 269, 1261, 6068, 3695, 519, 1390, 13964, 543, 11287, 2831, 538, 741, 2067, 7226, 269, 3571, 3158, 267, 23765, 267, 729, 11212, 10583, 540, 1864, 267, 855, 1352, 14126, 1169, 1554, 602, 1945, 3983, 1522, 4755, 547, 1864, 1247, 646, 729, 2476, 593, 10279, 780, 3080, 10543, 267, 789, 2893, 1927, 896, 519, 5182, 787, 3781, 6607, 269, 15952, 517, 6743, 909, 543, 14952, 539, 693, 875, 29116, 519, 6801, 941, 26124, 269, 968, 300, 558, 2223, 646, 4280, 267, 968, 25585, 798, 930, 6801, 1413, 3043, 543, 1866, 1000, 30257, 538, 1114, 4778, 9495, 692, 298, 11481, 20493, 543, 3576, 519, 4316, 547, 4001, 1200, 5067, 930, 2596, 17651, 269, 2701, 6045, 602, 1018, 649, 1294, 607, 5182, 2775, 3217, 513, 1279, 942, 547, 3914, 721, 1934, 593, 3047, 1107, 3006, 6634, 610, 17542, 540, 1296, 256, 7756, 11954, 6801, 6633, 693, 8795, 5210, 267, 799, 5540, 519, 1769, 789, 12520, 269, 6519, 6801, 4043, 547, 581, 28555, 982, 2699, 3283, 267, 6466, 1000, 1074, 1782, 4386, 1813, 547, 519, 31285, 538, 938, 5790, 19755, 519, 2619, 540, 5182, 2775, 780, 289, 8681, 517, 19557, 32348, 267, 21716, 713, 16012, 1702, 827, 2230, 269, 1717, 267, 5103, 1620, 519, 5898, 540, 519, 26355, 1657, 267, 646, 7948, 1406, 21199, 1055, 519, 4743, 602, 1373, 851, 540, 519, 2879, 23803, 1770, 1500, 1864, 10169, 1033, 3737, 689, 8103, 3294, 269, 898, 18056, 1864, 540, 1776, 18477, 1560, 1107, 9370, 267, 1419, 5219, 547, 607, 519, 2048, 16446, 14136, 10200, 3807, 899, 922, 27280, 6719, 8594, 543, 29383, 267, 865, 1705, 1010, 1909, 538, 519, 4108, 780, 306, 19488, 267, 519, 22471, 559, 4090, 695, 13593, 950, 789, 4862, 3377, 602, 15952, 517, 1131, 4166, 8977, 585, 513, 2565, 5106, 269, 2060, 17229, 18297, 1524, 1200, 3068, 267, 23765, 26866, 1229, 267, 968, 6826, 2922, 267, 1250, 15210, 17199, 1848, 6736, 1373, 5423, 15508, 267, 1312, 6785, 602, 1142, 17293, 5645, 4220, 3564, 1852, 269, 901, 6397, 2490, 2451, 513, 7096, 1764, 593, 873, 282, 2705, 267, 621, 556, 3530, 3305, 539, 741, 2463, 585, 519, 17674, 1464, 540, 1272, 543, 519, 7122, 1472, 873, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 2237, 519, 1985, 4845, 780, 18154, 13585, 264, 2026, 513, 10583, 8136, 3993, 267, 23765, 10515, 14657, 3112, 7703, 547, 1294, 834, 13563, 10965, 23803, 2437, 1256, 1498, 621, 1631, 3928, 607, 519, 7887, 14407, 532, 2112, 7260, 540, 782, 942, 269, 4173, 5067, 267, 15952, 517, 8055, 267, 5143, 1200, 602, 1010, 1272, 8272, 549, 1042, 519, 7260, 269, 834, 296, 666, 1405, 3142, 8885, 547, 4585, 621, 2437, 10515, 14657, 1767, 269, 8055, 729, 1152, 476, 736, 950, 646, 729, 8655, 547, 519, 2879, 23803, 3296, 540, 513, 27341, 3531, 3019, 693, 519, 4463, 540, 519, 12925, 2112, 269, 1879, 594, 1558, 1864, 972, 538, 2038, 476, 1220, 279, 267, 646, 5143, 803, 646, 729, 1134, 25252, 1243, 585, 1010, 5692, 269, 1261, 8057, 909, 10122, 538, 11908, 543, 729, 1031, 547, 7996, 585, 1010, 10352, 563, 298, 11481, 10515, 14657, 568, 513, 2731, 10583, 3158, 1317, 1200, 5067, 267, 15952, 517, 8055, 267, 568, 538, 519, 8136, 269, 1809, 1352, 3112, 4585, 513, 7260, 1572, 834, 13563, 10965, 23803, 257, 1317, 621, 19595, 1200, 1932, 1454, 540, 1200, 5067, 781, 2816, 269, 15952, 517, 5143, 1010, 3158, 602, 519, 7260, 568, 2147, 547, 1010, 1272, 269, 1879, 15952, 517, 729, 476, 736, 1296, 2025, 267, 646, 8678, 513, 2027, 1895, 538, 519, 8136, 1572, 519, 2879, 23803, 3296, 1282, 513, 2462, 2112, 538, 12925, 269, 1261, 5433, 899, 646, 729, 1434, 693, 1010, 2816, 1317, 646, 8057, 909, 20414, 1918, 320, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 13012, 3516, 267, 607, 649, 917, 267, 18186, 657, 6854, 2831, 538, 524, 1137, 269, 595, 1137, 1500, 621, 2653, 585, 8436, 547, 1294, 519, 2831, 267, 855, 513, 1507, 21799, 568, 711, 513, 1434, 1747, 585, 606, 3662, 547, 2661, 538, 269, 4653, 2831, 2661, 538, 1930, 2127, 269, 1703, 616, 2356, 2371, 543, 513, 2370, 10720, 1472, 267, 899, 519, 2831, 262, 9249, 269, 6250, 6002, 2356, 3251, 538, 519, 1668, 547, 1294, 519, 2831, 3544, 269, 25672, 657, 948, 547, 2149, 782, 5686, 540, 2831, 269, 1358, 2149, 2831, 538, 519, 23291, 607, 1134, 607, 2831, 538, 519, 3552, 269, 1215, 798, 789, 798, 713, 286, 25672, 657, 2995, 1004, 875, 2831, 2661, 538, 519, 3552, 543, 875, 547, 948, 2149, 741, 1604, 269, 634, 1297, 540, 1082, 5686, 540, 2371, 543, 2831, 568, 4742, 4130, 543, 4130, 269, 26495, 16251, 267, 799, 616, 1644, 609, 5607, 19246, 267, 616, 1631, 17255, 263, 269, 14722, 2161, 602, 476, 10619, 1114, 5686, 540, 2713, 1919, 616, 7106, 8960, 513, 1554, 256, 25672, 657, 616, 2324, 1927, 547, 948, 2831, 268, 712, 2828, 269, 4653, 267, 18186, 657, 1832, 2831, 567, 9041, 567, 4586, 271, 269, 538, 1930, 2127, 454, 272, 269, 538, 8273, 524, 1137, 454, 273, 269, 538, 4130, 524, 1137, 454, 274, 269, 538, 519, 21772, 454, 12585, 281, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 23210, 281, 5455, 1075, 518, 628, 773, 535, 879, 557, 4436, 281, 18999, 338, 1013, 8475, 7232, 6113, 327, 871, 518, 5053, 281, 17020, 584, 761, 320, 522, 13062, 5451, 576, 320, 454, 8448, 1455, 4408, 912, 5522, 664, 22249, 16556, 3047, 322, 872, 704, 630, 329, 1564, 330, 4512, 267, 2893, 584, 1092, 994, 306, 20346, 632, 21780, 334, 5633, 267, 18335, 454, 8138, 14588, 2886, 543, 17392, 454, 308, 269, 642, 269, 2893, 584, 1092, 454, 10111, 686, 12027, 267, 476, 4350, 274, 1107, 654, 1656, 525, 540, 595, 18475, 630, 2304, 322, 1662, 267, 13535, 17505, 1075, 334, 267, 32065, 17131, 1723, 1916, 308, 269, 642, 269, 795, 1564, 330, 4512, 454, 18154, 629, 534, 529, 267, 476, 6942, 275, 264, 1107, 1656, 525, 540, 595, 1299, 590, 18475, 630, 299, 9874, 543, 9947, 27713, 547, 15722, 334, 1070, 715, 16266, 630, 307, 541, 777, 659, 5451, 1070, 654, 30643, 630, 17442, 623, 1794, 590, 547, 8000, 657, 6403, 264, 543, 32065, 18335, 630, 17315, 329, 8500, 1916, 308, 269, 642, 269, 4570, 10098, 1598, 529, 454, 16360, 584, 1889, 3563, 267, 476, 5908, 272, 264, 1107, 32065, 18335, 630, 21946, 3279, 590, 547, 5487, 21586, 10937, 543, 21780, 334, 5633, 267, 654, 595, 6759, 6113, 20899, 1916, 1704, 1700, 2641, 4699, 282, 476, 1789, 1700, 3393, 575, 630, 333, 558, 3729, 1070, 476, 3451, 1700, 5655, 575, 630, 329, 1564, 330, 4512, 1040, 23839, 13355, 267, 2864, 10750, 3618, 322, 872, 704, 609, 1279, 267, 9244, 1232, 20940, 3915, 269, 13201, 12779, 10889, 880, 22554, 1862, 1224, 811, 454, 8253, 2523, 13047, 269, 14576, 630, 333, 558, 3729, 264, 513, 1279, 3819, 959, 650, 540, 524, 269, 476, 1015, 610, 811, 968, 1399, 1731, 892, 4967, 693, 1862, 1224, 811, 454, 303, 10044, 31922, 543, 25545, 1395, 339, 2033, 28103, 267, 6140, 693, 476, 17734, 271, 1700, 6110, 271, 544, 267, 12725, 1524, 547, 476, 7742, 271, 544, 1862, 1224, 811, 454, 15933, 543, 8023, 454, 6635, 6605, 16104, 282, 682, 3671, 16239, 534, 16793, 267, 16793, 543, 4079, 540, 23045, 30601, 267, 667, 760, 614, 320, 543, 5614, 339, 5661, 630, 8624, 12661, 19096, 264, 6592, 269, 15394, 22072, 267, 610, 538, 1862, 1224, 811, 454, 17954, 2644, 1282, 513, 14094, 4832, 282, 538, 3967, 1700, 15037, 538, 595, 18475, 282, 9566, 13530, 538, 4924, 538, 590, 18475, 267, 5798, 538, 8734, 538, 16266, 267, 543, 5798, 689, 8734, 543, 9566, 13530, 1862, 1224, 811, 454, 1805, 9850, 543, 5726, 454, 8253, 11451, 12219, 630, 8867, 770, 19634, 333, 1040, 27824, 547, 12725, 9425, 1455, 269, 26335, 13026, 568, 21230, 2922, 689, 27643, 18063, 267, 4849, 936, 6588, 4506, 676, 13184, 269, 1224, 811, 454, 18744, 32224, 616, 2111, 547, 1294, 519, 15853, 269, 8298, 514, 610, 4427, 18285, 547, 1205, 1569, 547, 513, 2603, 540, 3063, 2934, 256 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 9540, 20641, 538, 7147, 666, 581, 6960, 610, 3039, 593, 4971, 267, 649, 1289, 713, 454, 271, 269, 24429, 454, 272, 269, 10703, 531, 618, 454, 273, 269, 1514, 2923, 454, 274, 269, 9023, 8665, 454, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 24876, 1053, 3606, 2259, 538, 811, 4359, 18551, 2035, 971, 607, 19283, 1218, 267, 24008, 267, 24025, 267, 543, 2007, 1429, 338, 607, 1134, 607, 606, 4367, 547, 546, 13023, 628, 29330, 267, 18772, 525, 267, 19655, 267, 1884, 11618, 267, 543, 4630, 11618, 269, 3883, 476, 273, 540, 513, 1614, 26247, 3126, 547, 948, 1053, 1020, 4098, 2542, 1983, 269, 2672, 3386, 585, 26613, 543, 6304, 3292, 563, 1607, 8476, 26496, 3947, 596, 519, 5191, 547, 5299, 543, 13594, 519, 1543, 540, 1142, 2985, 883, 519, 3898, 602, 13352, 707, 2115, 269, 1411, 666, 2022, 4245, 593, 707, 1362, 3896, 267, 1118, 2875, 12215, 267, 543, 811, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 513, 1507, 4884, 3957, 8943, 6807, 267, 5030, 1079, 1655, 2828, 910, 1520, 320, 543, 2098, 2465, 269, 1358, 6068, 1565, 827, 2257, 543, 5904, 256, 2290, 13566, 1554, 267, 789, 4956, 547, 1711, 513, 1187, 1982, 1210, 741, 5172, 5752, 1893, 267, 5124, 269, 4256, 1544, 729, 547, 1118, 513, 1982, 602, 1131, 1491, 513, 1592, 540, 5220, 543, 1689, 873, 883, 2250, 3501, 13029, 269, 1809, 267, 972, 729, 513, 6952, 256, 898, 1058, 849, 3713, 543, 4734, 856, 1022, 5220, 799, 941, 2907, 538, 2250, 3501, 13029, 780, 3849, 320, 31113, 1767, 267, 834, 313, 2465, 267, 798, 596, 3314, 950, 649, 4121, 827, 8231, 512, 5151, 286, 12815, 3501, 13029, 2982, 3527, 6192, 1354, 1776, 2962, 538, 519, 2250, 1701, 2098, 2465, 21330, 543, 3773, 267, 834, 14738, 256, 6145, 1412, 296, 1185, 13881, 1250, 26889, 1354, 519, 11350, 678, 836, 9538, 11822, 2250, 13029, 1175, 6257, 513, 2582, 2680, 267, 971, 607, 1412, 296, 17696, 1250, 26889, 9538, 5016, 5445, 10356, 4557, 5220, 609, 1585, 512, 5151, 543, 3309, 4845, 3889, 269, 2060, 741, 2257, 2835, 1930, 267, 789, 3459, 1603, 741, 5124, 3009, 1927, 269, 6969, 1279, 267, 789, 2813, 513, 9735, 1599, 1572, 2387, 1729, 7272, 770, 30648, 2739, 18269, 3371, 781, 1018, 621, 6743, 899, 1384, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 8794, 519, 5752, 1893, 5124, 267, 2328, 513, 1599, 602, 3217, 513, 1592, 540, 5220, 607, 3403, 543, 7024, 513, 1007, 1592, 609, 1142, 4845, 538, 2250, 3501, 13029, 269, 634, 1599, 1058, 849, 23868, 1022, 5220, 602, 616, 2907, 538, 2250, 3501, 13029, 269, 634, 3403, 1592, 1590, 1331, 693, 2547, 476, 1015, 5220, 267, 2854, 538, 1114, 512, 5151, 543, 609, 8795, 4845, 3889, 269, 1306, 606, 1383, 267, 4019, 519, 1599, 547, 519, 4845, 834, 296, 10443, 547, 519, 4558, 257, 543, 2132, 519, 2250, 3501, 13029, 4528, 540, 621, 269, 3958, 267, 1683, 513, 5618, 7778, 540, 519, 21342, 3652, 3297, 2250, 3501, 13029, 543, 875, 621, 15320, 689, 2241, 2250, 13029, 563, 2080, 568, 606, 1383, 1599, 602, 3217, 513, 1592, 540, 5220, 543, 7024, 513, 1007, 1592, 609, 1142, 4845, 538, 2250, 3501, 13029, 912, 3499, 7090, 454, 3698, 547, 7272, 770, 30648, 2739, 4433, 550, 1878, 2187, 825, 1007, 5334, 550, 1878, 815, 11713, 825, 585, 4845, 538, 5220, 912, 1038, 952, 834, 17495, 257, 538, 4845, 31573, 3890, 610, 834, 17647, 257, 538, 4845, 31573, 10031, 2018, 1007, 5334, 550, 1878, 6910, 4433, 27542, 994, 1038, 3116, 912, 2018, 1913, 815, 4845, 21858, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 31628, 916, 692, 6637, 476, 280, 4147, 476, 280, 19449, 3380, 454, 32513, 658, 1931, 8797, 692, 2162, 3690, 5296, 692, 31628, 332, 476, 280, 269, 1321, 1403, 519, 2040, 540, 513, 6292, 540, 6587, 7285, 540, 513, 29105, 568, 476, 5197, 2073, 519, 29105, 568, 28023, 269, 9717, 2433, 13235, 291, 568, 29105, 971, 602, 645, 3722, 1341, 645, 17584, 815, 476, 5197, 28171, 2433, 13235, 291, 568, 513, 28023, 29105, 19577, 2433, 4595, 589, 267, 645, 267, 595, 616, 1875, 897, 15035, 2290, 5858, 10596, 998, 1614, 897, 15035, 2798, 2913, 721, 2721, 513, 5858, 595, 272, 609, 8998, 693, 744, 2913, 721, 8263, 667, 1281, 711, 9114, 593, 595, 272, 3767, 267, 13235, 291, 568, 28023, 29105, 645, 3722, 1341, 30183, 595, 815, 476, 5197, 1809, 2016, 645, 3722, 1341, 645, 17584, 815, 476, 5197, 4935, 267, 30183, 595, 815, 645, 17584, 3767, 267, 769, 645, 24884, 30183, 595, 815, 645, 24884, 1341, 667, 9720, 30183, 595, 815, 645, 17584, 1341, 667, 9720, 645, 17584, 815, 645, 17584, 1341, 667, 9720, 645, 17584, 645, 17584, 815, 667, 9720, 667, 9720, 815, 476, 271, 667, 543, 667, 3213, 4532, 1938, 3776, 13429, 729, 4636, 8672, 667, 6013, 593, 5858, 595, 272, 589, 267, 645, 267, 595, 267, 667, 616, 598, 7094, 545, 269, 9747, 9863 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 347, 310, 5942, 19061, 18190, 10255, 543, 7507, 1475, 263, 305, 730, 5903, 11665, 267, 11068, 268, 5814, 766, 10245, 11243, 4087, 6165, 454, 18600, 1125, 834, 290, 1941, 601, 3780, 257, 568, 513, 2012, 585, 835, 540, 519, 1034, 1271, 3885, 540, 9147, 7507, 269, 12984, 519, 2012, 834, 290, 1941, 601, 3780, 257, 2479, 1031, 538, 3504, 5664, 5101, 267, 610, 729, 621, 1031, 1152, 538, 519, 1858, 540, 7507, 630, 2005, 3315, 21663, 4534, 291, 537, 326, 2911, 476, 736, 281, 7906, 267, 476, 1428, 5130, 476, 1220, 278, 630, 7473, 290, 994, 23536, 762, 11876, 1314, 4408, 6569, 689, 2376, 563, 4322, 13366, 941, 3773, 547, 519, 2376, 676, 606, 7379, 9375, 1394, 593, 5437, 476, 1626, 267, 476, 1220, 276, 269, 1358, 782, 723, 538, 1410, 2364, 762, 4408, 267, 543, 616, 27581, 931, 6160, 538, 11440, 2053, 267, 855, 594, 1810, 1405, 1294, 873, 538, 519, 1592, 540, 931, 6160, 1934, 543, 1810, 1405, 11291, 7487, 741, 4408, 9170, 3116, 269, 5616, 19707, 585, 891, 2043, 1152, 3100, 547, 2490, 909, 9504, 804, 2158, 269, 1924, 8259, 930, 2707, 666, 581, 1336, 267, 594, 6415, 3001, 873, 1934, 607, 513, 21483, 11876, 1314, 269, 623, 3600, 2544, 3780, 630, 339, 1779, 264, 476, 2420, 281, 2641, 267, 476, 2537, 5988, 476, 1001, 276, 630, 7473, 290, 994, 268, 23168, 3780, 12397, 601, 3780, 590, 1638, 320, 21634, 1460, 13056, 755, 1638, 639, 15016, 520, 1638, 639, 267, 931, 592, 538, 5084, 476, 5611, 563, 268, 6428, 322, 639, 12397, 601, 3780, 590, 1638, 320, 21634, 1460, 13056, 755, 1638, 639, 15016, 520, 1638, 639, 631, 716, 1807, 267, 931, 592, 538, 5084, 476, 25240, 563, 268, 8000, 7978, 12397, 601, 3780, 590, 1638, 320, 21634, 1460, 11619, 718, 320, 267, 931, 592, 538, 5084, 476, 24374, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 14349, 267, 5147, 476, 2190, 267, 476, 1001, 271, 692, 2162, 9046, 476, 5325, 280, 281, 21121, 267, 595, 5271, 2103, 267, 1230, 2017, 6275, 267, 3690, 951, 531, 267, 1160, 15251, 692, 10481, 5852, 9046, 454, 12812, 519, 4137, 2630, 547, 1294, 519, 2347, 1966, 476, 5325, 280, 827, 9046, 476, 5325, 280, 281, 21121, 267, 595, 5271, 2103, 267, 1230, 2017, 6275, 267, 3690, 951, 531, 267, 1160, 15251, 780, 8450, 849, 912, 28415, 9046, 476, 5325, 280, 692, 25583, 281, 4400, 3427, 267, 20389, 16721, 267, 5441, 9511, 692, 2971, 476, 273, 8292, 1384, 272, 269, 6443, 645, 547, 717, 454, 514, 19065, 366, 5723, 294, 689, 2781, 9366, 781, 11532, 454, 9720, 270, 6395, 4501, 503, 8980, 14727, 294, 815, 18688, 270, 4488, 18092, 17985, 14727, 294, 815, 18688, 270, 4488, 4501, 503, 6395, 270, 9720, 630, 272, 994, 514, 19065, 366, 27398, 689, 2781, 9366, 781, 11532, 454, 9720, 270, 6395, 4501, 503, 28425, 270, 15598, 4501, 503, 4488, 20324, 292, 815, 476, 272, 630, 273, 994, 20123, 17586, 630, 272, 264, 547, 630, 273, 994, 8980, 14727, 294, 815, 630, 23813, 270, 4488, 4501, 503, 6395, 270, 9720, 264, 4501, 503, 263, 9720, 270, 6395, 4501, 503, 28425, 270, 15598, 4501, 503, 4488, 20324, 292, 2020, 8980, 14727, 294, 815, 19200, 270, 15598, 692, 273, 269, 12989, 568, 519, 18445, 540, 476, 273, 526, 851, 540, 9046, 476, 5325, 280, 454, 272, 269, 15233, 595, 21416, 779, 11532, 547, 6906, 667, 23813, 543, 1448, 540, 598, 2017, 5270, 744, 1547, 1284, 723, 912, 263, 8461, 270, 4047, 31618, 4753, 14727, 289, 31618, 5723, 270, 4696, 6661, 272, 865, 18074, 270, 4047, 284, 630, 290, 289, 270, 4753, 31618, 4696, 270, 5723, 994, 273, 269, 15233, 9093, 601, 9476, 779, 11532, 585, 6906, 667, 23813, 543, 3813, 656, 8028, 294, 1547, 1284, 723, 912, 263, 12283, 27798, 291, 31618, 4696, 270, 5723, 31618, 290, 289, 270, 4753, 6661, 272, 865, 717, 291, 270, 12283, 14352, 4696, 270, 5723, 31618, 290, 289, 270, 4753, 994, 274, 269, 3245, 519, 1267, 540, 3268, 476, 272, 543, 476, 273, 649, 1205, 18074, 270, 4047, 284, 31270, 270, 12283, 692, 30681, 2558, 534, 454, 341, 1598, 534, 287, 344, 1695, 5622, 2593 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 1546, 5139, 1674, 454, 271, 269, 11523, 1216, 3097, 272, 269, 11523, 2960, 3097, 12585, 281, 476, 272 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3528, 11709, 612, 320, 20944, 1206, 577, 1779, 693, 5412, 476, 6860, 476, 1001, 279, 476, 1556, 281, 5325, 281, 1321, 454, 11997, 5876, 568, 513, 1590, 585, 3211, 547, 581, 3811, 2433, 17859, 952, 596, 616, 3843, 547, 2689, 2979, 267, 2257, 267, 2542, 267, 1603, 267, 1072, 267, 610, 1514, 2090, 267, 707, 3804, 1058, 2141, 581, 547, 2119, 543, 1711, 1945, 602, 786, 5352, 7287, 538, 519, 1053, 547, 2965, 1616, 547, 798, 621, 269, 1403, 596, 666, 798, 713, 267, 519, 6370, 568, 18374, 936, 2907, 563, 3963, 946, 1863, 2979, 3211, 286, 14168, 269, 1452, 3211, 666, 4688, 596, 513, 2603, 540, 942, 543, 2724, 543, 950, 596, 2811, 513, 11112, 18954, 3158, 3450, 1896, 1453, 267, 713, 1797, 513, 2603, 563, 8138, 339, 847, 476, 272, 19985, 476, 273, 19985, 610, 476, 274, 18251, 2338, 689, 476, 274, 268, 543, 476, 275, 18251, 1297, 609, 270, 23719, 15646, 5446, 563, 4913, 267, 13657, 1590, 581, 3144, 883, 2272, 950, 2689, 568, 14578, 4988, 538, 707, 4928, 269, 1411, 798, 711, 1616, 707, 1053, 547, 1831, 19252, 610, 21616, 609, 519, 17279, 563, 1692, 1454, 540, 606, 11945, 2650, 814, 1044, 13881, 286, 634, 2626, 547, 713, 2243, 666, 581, 6829, 538, 21159, 267, 476, 2004, 260, 282, 610, 538, 17447, 267, 476, 271, 269, 276, 282, 610, 538, 6824, 267, 476, 16006, 269, 769, 824, 1913, 267, 3368, 540, 3158, 781, 8949, 11945, 2650, 568, 8854, 563, 4118, 3211, 3446, 476, 275, 454, 4118, 3211, 585, 3446, 476, 277, 454, 4118, 3211, 3446, 476, 274 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5228, 5299, 1104, 2620, 32476, 692, 5035, 19336, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1592, 15058, 9078, 1235, 2187, 1038, 1582, 269, 9795, 815, 2620, 32476, 17338, 15058, 9078, 1235, 2020, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 5569, 815, 1412, 7055, 1038, 585, 4737, 538, 1582, 269, 9795, 912, 2018, 5569, 6834, 1412, 315, 339, 8339, 21860, 9852, 777, 19304, 267, 4737, 4917, 2018, 5569, 6834, 1412, 315, 333, 7055, 1038, 2132, 5569, 11468, 268, 272, 6540, 825, 1219, 2450, 4311, 2187, 1038, 2132, 7003, 4311, 269, 9795, 1070, 7003, 4311, 269, 9795, 314, 271, 20285, 825, 15981, 3698, 6449, 5417, 9191, 1345, 267, 824, 2187, 1038, 2040, 318, 815, 19336, 4311, 269, 9795, 994, 1038, 2450, 815, 1582, 25915, 4590, 1038, 585, 4737, 16229, 538, 2039, 4433, 1125, 314, 271, 316, 2187, 2018, 585, 562, 16229, 538, 2039, 4433, 1125, 314, 272, 316, 2187, 3546, 2040, 318, 269, 9795, 314, 992, 16229, 6012, 333, 16229, 316, 6834, 824, 269, 9795, 314, 992, 16229, 6012, 333, 16229, 316, 18257, 7531, 18257, 320, 815, 19336, 31912, 272, 267, 476, 273, 267, 476, 274, 3910, 1496, 275, 267, 476, 276, 267, 476, 277, 316, 7481, 321, 815, 19336, 31912, 272, 267, 476, 271, 267, 476, 271, 3910, 1496, 271, 267, 476, 272, 267, 476, 271, 316, 7481, 322, 815, 513, 1341, 536, 454, 2745, 5416, 994, 2745, 6357, 994, 2745, 6262, 264, 18411 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 21795, 607, 19073, 1477, 5814, 11885, 607, 5286, 1477, 5814, 21267, 28272, 607, 12301, 5897, 20204, 284, 12639, 15126, 8443, 1001, 276, 267, 1001, 277, 267, 1001, 278, 267, 1001, 279, 267, 1001, 280, 8079, 476, 1948, 4310, 5286, 15126, 547, 6460, 1592, 883, 13735, 1448, 703, 5897, 331, 560, 17342, 272, 267, 271, 267, 271, 267, 271, 267, 271, 316, 1948, 1721, 694, 704, 908, 513, 4062, 540, 2650, 1477, 258, 1492, 476, 272, 538, 519, 1592, 2099, 519, 3845, 689, 519, 4099, 5897, 321, 332, 342, 17342, 10384, 267, 5611, 271, 267, 1220, 271, 267, 12573, 271, 267, 7785, 271, 15947, 1067, 1027, 525, 17342, 1220, 271, 267, 7742, 271, 267, 1220, 271, 267, 5197, 271, 267, 1911, 271, 15947, 3405, 583, 328, 17342, 1220, 271, 267, 6110, 271, 267, 4335, 271, 267, 7785, 271, 267, 20981, 271, 15947, 5112, 17342, 4968, 271, 267, 20542, 271, 267, 12573, 271, 267, 1220, 271, 267, 15996, 271, 316, 5897, 10823, 14714, 788, 12169, 792, 14720, 332, 342, 10142, 10823, 26942, 14052, 10823, 20481, 14052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 1219, 1265, 318, 720, 6357, 267, 524, 17107, 258, 672, 586, 815, 524, 910, 536, 454, 258, 672, 1820, 2891, 298, 600, 879, 4535, 538, 4939, 323, 2433, 4939, 323, 13012, 257, 4939, 630, 321, 267, 586, 4917, 258, 672, 2132, 586, 454, 258, 1265, 318, 720, 263, 1220, 271, 267, 476, 1001, 278, 9239, 3698, 1205, 318, 720, 6357, 1941, 267, 1699, 17107, 825, 1296, 815, 1699, 910, 4535, 454, 825, 1820, 2891, 31435, 594, 729, 4535, 538, 4939, 323, 543, 602, 814, 1044, 4939, 323, 1296, 3516, 257, 260, 630, 9799, 267, 1296, 4917, 1326, 318, 720, 263, 1220, 271, 267, 476, 1001, 278, 994 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 8923, 946, 713, 32165, 547, 13712, 610, 3095, 547, 713, 6221, 912, 347, 12892, 1272, 540, 631, 323, 2088, 3379, 547, 4872, 538, 519, 10806, 540, 589, 16400, 538, 519, 476, 1428, 628, 2540, 454, 23277, 323, 2088, 630, 22416, 3279, 264, 4534, 3778, 454, 22416, 3279, 4534, 3778, 4534, 476, 1691, 628, 2540, 454, 22416, 3279, 4534, 4317, 1272, 543, 9821, 4534, 476, 1691, 628, 2540, 454, 347, 1607, 12031, 5654, 547, 2263, 1018, 519, 1554, 3562, 6377, 2729, 540, 519, 11317, 540, 5689, 3279, 543, 4481, 631, 323, 2088, 941, 899, 1282, 519, 2185, 18818, 2540, 1759, 593, 3370, 3119, 2959, 543, 824, 9382, 540, 519, 1974, 676, 1585, 4589, 269, 17461, 543, 2796, 593, 519, 1974, 568, 2016, 538, 519, 1101, 3184, 267, 609, 519, 1739, 11271, 3246, 5813, 593, 3584, 4143, 547, 1018, 7018, 269, 634, 2034, 3184, 6227, 631, 323, 2088, 543, 922, 2078, 543, 6476, 547, 21960, 7666, 543, 519, 856, 2391, 6917, 17260, 540, 5689, 3279, 269, 634, 3791, 3184, 6227, 1272, 538, 519, 2749, 540, 631, 323, 2088, 585, 1346, 602, 5030, 972, 267, 1519, 519, 13800, 585, 519, 631, 4106, 807, 267, 519, 1272, 585, 519, 6014, 2551, 267, 543, 875, 519, 5783, 5129, 513, 851, 538, 519, 2729, 540, 519, 11317, 563, 347, 7343, 8986, 538, 26888, 912, 25238, 1170, 31277, 910, 11120, 9209, 14367, 910, 476, 1001, 277, 454, 293, 3796, 538, 901, 30014, 912, 347, 8698, 270, 15411, 32369, 513, 5299, 454, 2005, 2114, 538, 744, 2752, 287, 9331, 616, 6870, 676, 10677, 267, 609, 782, 2924, 11603, 267, 8259, 6382, 8612, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 7195, 328, 568, 513, 6263, 6532, 602, 568, 851, 540, 12868, 476, 2221, 269, 898, 568, 513, 7168, 6532, 602, 814, 1082, 10239, 543, 513, 16990, 2916, 269, 1280, 513, 1279, 942, 267, 7195, 328, 729, 2759, 1055, 689, 1454, 540, 519, 1158, 269, 634, 1004, 540, 7195, 328, 941, 6126, 543, 1185, 513, 12560, 1272, 269, 1358, 941, 711, 4847, 547, 4339, 269, 2311, 835, 942, 972, 1185, 1044, 15265, 10617, 593, 7195, 328, 269, 3973, 519, 1004, 4956, 621, 729, 4636, 547, 4339, 610, 723, 10617, 269, 1358, 1500, 3652, 547, 1832, 6306, 1346, 1004, 945, 4941, 547, 4339, 269, 7195, 328, 729, 5258, 883, 5722, 1507, 25267, 269, 634, 2244, 1472, 1142, 10806, 729, 6854, 8900, 267, 543, 1100, 835, 5030, 972, 269, 4595, 519, 25267, 1705, 711, 2671, 519, 1482, 10665, 2073, 519, 1004, 1223, 711, 4339, 827, 873, 269, 2201, 7195, 328, 267, 1256, 1453, 941, 711, 4847, 547, 4339, 269, 1403, 1079, 1453, 3323, 513, 4339, 936, 513, 11442, 267, 2576, 9674, 873, 269, 1879, 1079, 8695, 11130, 267, 789, 1131, 3858, 711, 547, 3717, 547, 1142, 824, 269, 6884, 789, 1705, 711, 2911, 1927, 585, 3275, 282, 713, 5795, 519, 8695, 513, 4960, 547, 7340, 741, 10845, 269, 19198, 945, 941, 14220, 609, 1142, 824, 849, 16219, 711, 547, 3717, 269, 4256, 9153, 729, 2854, 1524, 267, 543, 519, 2898, 8498, 6785, 827, 621, 269, 1403, 789, 13264, 741, 9153, 267, 789, 1185, 547, 2709, 13344, 547, 741, 10971, 269, 634, 1004, 540, 7195, 328, 825, 9041, 567, 4586, 271, 269, 5030, 513, 6126, 543, 12560, 1272, 454, 272, 269, 10692, 585, 513, 1279, 942, 454, 273, 269, 568, 2759, 1055, 689, 1454, 540, 519, 1158, 454, 274, 269, 844, 19128, 1194, 827, 741, 10665, 454, 12585, 281, 476, 271 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 1724, 281, 7665, 30093, 2659, 5685, 1734, 3414, 21864, 20971, 543, 12525, 12020, 692, 296, 269, 4985, 454, 288, 269, 11957, 540, 9363, 5483, 827, 2123, 8804, 538, 2221, 781, 2804, 2916, 454, 289, 269, 11137, 540, 3584, 4988, 538, 713, 3184, 281, 4466, 5092, 3255, 1282, 10637, 267, 10188, 3454, 6286, 267, 543, 10040, 3454, 4058, 2994, 454, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1805, 11691, 5483, 543, 22537, 950, 621, 2501, 547, 707, 2724, 568, 811, 1271, 982, 2479, 538, 2221, 779, 2479, 21608, 2883, 5251, 269, 31368, 6195, 779, 2659, 14559, 786, 3142, 1927, 1283, 2883, 4966, 547, 1865, 2081, 547, 11694, 707, 18083, 9624, 2594, 1164, 10637, 543, 11574, 1981, 267, 1247, 10115, 585, 513, 17321, 2104, 563, 297, 574, 15434, 1067, 11099, 972, 568, 2141, 513, 13032, 2344, 12341, 267, 543, 646, 6499, 547, 948, 596, 1265, 621, 269, 1261, 568, 3984, 540, 31368, 6195, 781, 834, 32743, 14559, 2437, 630, 300, 6363, 267, 476, 277, 15014, 21180, 264, 10023, 18512, 16823, 11042, 267, 21951, 7125, 543, 1034, 1271, 267, 519, 796, 3901, 3481, 267, 535, 30711, 8369, 540, 15434, 1067, 5128, 269, 1261, 5713, 607, 519, 21951, 781, 2123, 3391, 998, 519, 14845, 26570, 540, 9931, 9335, 10115, 1765, 333, 3572, 908, 998, 1312, 3255, 543, 25354, 609, 835, 3804, 538, 2247, 23121, 948, 873, 1118, 2724, 563, 290, 571, 1067, 568, 849, 1071, 12845, 577, 528, 540, 519, 476, 280, 513, 6230, 269, 21180, 5662, 540, 31368, 6195, 781, 834, 306, 638, 1177, 330, 593, 519, 9335, 257, 630, 300, 6363, 267, 476, 280, 4456, 268, 1556, 4456, 21180, 264, 543, 519, 13653, 540, 634, 1805, 22901, 267, 513, 19180, 8502, 540, 2883, 16555, 563, 3891, 21783, 689, 12370, 5441, 1141, 646, 729, 929, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 9608, 16010, 1315, 12525, 566, 1315, 24529, 12525, 12020, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 333, 815, 703, 9272, 31156, 604, 562, 4939, 476, 273, 2652, 476, 271, 912, 825, 1820, 17301, 3799, 270, 273, 4917, 12828, 912, 825, 1820, 3799, 2260, 273, 266, 272, 9239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4119, 269, 476, 866, 267, 476, 1708, 271, 454, 734, 769, 519, 1646, 540, 1970, 19581, 5653, 3002, 15033, 12904, 543, 15791, 267, 649, 2356, 2887, 883, 10539, 827, 1018, 2186, 540, 3002, 15033, 18364, 267, 13471, 1570, 267, 1352, 987, 2497, 543, 519, 946, 1604, 543, 1505, 540, 3002, 15033, 5911, 543, 10814, 269, 28582, 2590, 547, 519, 8369, 540, 4914, 3002, 15033, 5911, 543, 10814, 4966, 267, 713, 1957, 3947, 513, 5618, 2626, 547, 891, 2055, 269, 9223, 476, 272, 281, 952, 519, 6024, 15951, 2837, 540, 674, 7968, 543, 30736, 12285, 1202, 4327, 15791, 568, 476, 1220, 21508, 481, 267, 1018, 568, 519, 3017, 286, 6904, 1570, 568, 1732, 585, 519, 1482, 3498, 888, 288, 281, 674, 7968, 570, 1030, 23127, 568, 513, 5687, 31129, 602, 5283, 1206, 1586, 950, 6534, 547, 1164, 2614, 5210, 269, 8125, 545, 821, 12285, 568, 513, 5687, 657, 23293, 1570, 267, 799, 666, 1106, 6793, 3114, 6125, 538, 922, 11140, 896, 519, 2962, 540, 8143, 11852, 18463, 269, 1879, 6534, 547, 1164, 5210, 267, 30736, 12285, 786, 3327, 1125, 610, 31358, 883, 1360, 5386, 8869, 269, 9223, 476, 273, 281, 952, 519, 6024, 15951, 2837, 540, 623, 11902, 570, 1030, 23127, 543, 30736, 12285, 1202, 4327, 15791, 568, 476, 1220, 21508, 481, 267, 1018, 568, 519, 3017, 286, 6904, 1570, 568, 1732, 585, 519, 1482, 3498, 888, 288, 281, 519, 2773, 540, 623, 11902, 570, 1030, 23127, 630, 339, 25523, 22381, 19660, 26120, 13526, 1663, 19660, 1779, 20293, 24064, 2643, 552, 750, 2941, 8432, 1067, 267, 849, 1634, 607, 13526, 1663, 19660, 1779, 2643, 566, 543, 19729, 4874, 339, 25523, 22381, 19660, 26120, 994, 529, 2147, 547, 602, 540, 674, 7968, 267, 4849, 602, 519, 15951, 2837, 540, 623, 11902, 568, 476, 7742, 21508, 481, 269, 634, 3601, 540, 30736, 12285, 609, 15951, 2837, 540, 476, 1220, 21508, 481, 616, 2147, 547, 1346, 540, 7848, 2326, 609, 15951, 2837, 540, 476, 7742, 21508, 481, 269, 10059, 2517, 4178, 4877, 1077, 322, 762, 26020, 2593, 9706, 20094, 270 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 14854, 1477, 7901, 815, 14854, 2529, 10547, 14052, 7901, 12500, 326, 10233, 2891, 344, 3641, 14744, 339, 1195, 815, 14854, 11053, 31103, 14052, 339, 1195, 269, 10233, 2891, 1042, 14744, 339, 1195, 17482, 2891, 339, 31103, 14744, 23251, 815, 476, 273, 1477, 1721, 1775, 538, 2039, 263, 1911, 8029, 825, 11442, 269, 3453, 5560, 626, 3418, 825, 11442, 16000, 263, 3393, 3418, 825, 11442, 269, 3453, 5560, 626, 3418, 825, 1253, 6834, 476, 273, 1477, 7901, 20216, 527, 517, 28781, 14052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]